Log24

Tuesday, August 13, 2024

Benchmarks:  Speak, Memory . . .

Filed under: General — Tags: — m759 @ 10:39 pm

"Does the word 'doubt ' mean anything to you? 

. . . No? How about 'obiter dicta'?"

 

Wednesday, June 26, 2024

“The Big Nothing” Presents . . .

Filed under: General — Tags: — m759 @ 12:04 pm

From https://www.nytimes.com/2004/06/25/
arts/art-review-artists-who-just-say-no-to-everything.html

. . . .

''The Big Nothing'' presents an engraved invitation to Klein's ''Void,'' which I gather is now a very expensive and rare commodity. Klein would no doubt have appreciated this twist of commercial fortune. The invitation is presented alongside various photographs and ephemera from Andy Warhol's similar exhibition at the institute in 1965, which also had nothing in it except a mob of fans jamming the opening. Ms. Schaffner calls Warhol ''the Elvis of nothing,'' writing that his work, in ''an era of compliant consumer culture,'' was like ''a mirror facing a vacuum.'' Warhol appears in another photograph in the show, posing in 1985 beside a pedestal with nothing on it, a work he titled ''Invisible Sculpture.''
. . . .

— Michael Kimmelman, June 25, 2004

This nihilist meditation is from Carl Rakosi's date of death.

Rakosi appears here  in posts tagged "Inner-Outer."

Friday, April 26, 2024

Freeplay

Filed under: General — Tags: — m759 @ 12:25 pm

"No doubt that by orienting and organizing the coherence
of the system, the center of a structure permits the Freeplay
of its elements inside the total form."

— Derrida in Wikipedia
 

"How's tricks, dangerous love triangle?"

 

The Source:

 

Related reading . . .

Krapp for HYDRA

Friday, November 17, 2023

Classicism Continued: An Apotheosis of Modernity

Filed under: General — Tags: — m759 @ 12:34 pm
 

From Chapter 23, "Poetry," by Adam Parkes, in
A Companion to Modernist Literature and Culture,
edited by David Bradshaw and Kevin J. H. Dettmar,
Blackwell Companions to Literature and Culture,
© 2006 by Blackwell Publishing Ltd.

Writing in 1910–11, the English poet and critic T. E. Hulme claimed that the two major traditions in poetry, romanticism and classicism, were as different as a well and a bucket. According to the romantic party, Hulme explained, humankind is “intrinsically good, spoilt by circumstance”; that is, our nature is “a well, a reservoir full of possibilities.” For the classical party, however, human nature is “like a bucket”; it is “intrinsically limited, but disciplined by order and tradition to something fairly decent” (Hulme 1987: 117). But it was not only that romanticism and classicism were as dissimilar as a well and a bucket; their contents were different, too. To draw water from the well of romanticism was, in effect, to pour a “pot of treacle over the dinner table,” while the classical bucket was more likely to be full of little stones – or jewels, perhaps. Romanticism, in Hulme’s view, was the result of displaced religious fervor; it represented the return of religious instincts that the “perverted rhetoric of Rationalism” had suppressed, so that “concepts that are right and proper in their own sphere are spread over, and so mess up, falsify and blur the clear outlines of human experience” (Hulme 1987: 118). Classicism, by contrast, traded in dry goods – dry, hard goods, to be precise.

Hulme left little doubt as to which side he was on. “It is essential to prove,” he argued, “that beauty may be in small, dry things. The great aim is accurate, precise and definite description. . . . I prophesy that a period of dry, hard, classical verse is coming” (Hulme 1987: 131–3). If by “dry, hard, classical verse” Hulme meant poems looking like the fragments of Sappho, he didn’t have to wait long to see his prophecy fulfilled.

The hard sand breaks,
and the grains of it
are clear as wine.

Far off over the leagues of it,
the wind,

228

playing on the wide shore,
piles little ridges,
and the great waves
break over it.

So wrote Hilda Doolittle in “Hermes of the Ways,” the first poem that she signed “H. D., Imagiste” at the behest of her fellow American expatriate Ezra Pound. From Pound’s perspective, the Imagist movement that he co-founded in 1912 with H. D. and the English poet Richard Aldington was finished well before the First World War began in August 1914; throughout this war-torn decade, however, Imagism continued to spawn the poetry of “small, dry things” whose coming Hulme had predicted a few years before.

Indeed, modernist poets weren’t content merely to break down the extended heroic narratives – the “spilt religion,” as Hulme put it – of their treacly nineteenthcentury predecessors; they insisted on breaking down small things into ever-smaller particles and subparticles. This logic of disintegration is clearly at work in poems like “Hermes of the Ways,” where each line is metrically unique, creating a sense of perpetual freshness – an apotheosis of modernity, as it were.

REFERENCE

Hulme, T. E. (1987). Speculations: Essays on Humanism and the Philosophy of Art, ed. Herbert Read. London and New York: Routledge and Kegan Paul. First published 1924.

Compare and contrast:

Jeremy Gray,
Plato's Ghost: The Modernist Transformation of Mathematics,
Princeton University Press, first edition Sept. 22, 2008

"Here, modernism is defined as an autonomous body of ideas,
having little or no outward reference, placing considerable emphasis
on formal aspects of the work and maintaining a complicated—
indeed, anxious— rather than a naïve relationship with the
day-to-day world, which is the de facto view of a coherent group
of people, such as a professional or discipline-based group
that has a high sense of the seriousness and value of what it is
trying to achieve. This brisk definition…."

(Quoted at the webpage Solomon's Cube.)

Saturday, August 19, 2023

Speak, Memory: The Jewel in Ray Houchins’s Lotus

Filed under: General — m759 @ 5:21 pm

"Does the name 'Coulter' mean anything to you?"

See as well this  journal on 07/19/2021, the Lotus-page date above. 

Tuesday, July 25, 2023

Philosophical Investigations . . .
“Is there sex in heaven?”

Filed under: General — Tags: — m759 @ 5:25 am

"Do you remember All Souls' Day two years ago?"

"For ten years, we've been on our own . . ." — American Pie

Tuesday, June 13, 2023

Inquisitive Minds Want to Know

Filed under: General — Tags: — m759 @ 11:39 am

"Does the expression 'generative pre-trained transformer'
mean anything to you?"

Monday, May 29, 2023

The Story Theory of Truth

Filed under: General — Tags: , , , — m759 @ 6:15 pm

From the Feast of St. Nicholas, 2022

"Does the phrase 'vinegar and brown paper'
mean anything to you?"

See also other posts tagged Up the Hill.

Friday, March 31, 2023

Inflection Points and Doing It

Filed under: General — Tags: — m759 @ 11:07 am

Nima Arkani-Hamed, as quoted by Peter Woit yesterday —

I think the subject has not been so exciting for many, many decades, and at the same time our ability to experimentally address and solidly settle some of these very big questions has never been more uncertain. I don’t think it’s a normal time, it’s an inflection point in the history of the development of our subject, and it requires urgency… The confluence of the technical expertise for doing so and the enthusiasm amongst the young people who are willing to do it exists now and I very much doubt it will exist in 10 or 15 years from now. If we are going to do it, we have to start thinking about doing it now.

See as well an inflection-point-related post in this  journal —

True Grid: "Rosetta Stone" as a Metaphor
in Mathematical Narratives
 .

Tuesday, December 6, 2022

Up the Hill

Filed under: General — Tags: , — m759 @ 3:00 pm

"Does the phrase 'vinegar and brown paper'
mean anything to you?"

Friday, August 19, 2022

Mathematical Evolution

Filed under: General — Tags: , — m759 @ 2:49 am

From the Stillwell remembrance, a Shenitzer quote —

"An English major may or may not be a novelist or a poet,
but would undoubtedly be expected to be able to evaluate
a novel or a poem. The term 'English major' implies some
historical, philosophical, and evaluative training and
competence. It is sad but true that the term 'mathematician'
does not imply corresponding training and competence."

Related material — The previous post, and posts tagged Super-8.

Friday, April 22, 2022

“The History of the Concept of Structure”

Filed under: General — Tags: , — m759 @ 2:41 pm
 

Derrida was the final speaker on the final day. He remained a silent observer for much of the symposium. He looked on as Lacan rose to his feet with obscure questions at the end of each lecture, and as Barthes gently asked for clarification on various moot points. Eventually, however, Derrida, unused to speaking to large audiences, took to the stage, quietly shuffled his notes, and began, ‘Perhaps something has occurred in the history of the concept of structure that could be called an “event”…’ He spoke for less than half an hour. But by the time he was finished the entire structuralist project was in doubt, if not dead. An event had occurred: the birth of deconstruction.

Salmon, Peter. An Event, Perhaps  (pp. 2-3).
Verso Books (Oct. 2020). Kindle Edition. 

Salmon today at Arts & Letters Daily

Saturday, September 18, 2021

Smithsonian Event

Filed under: General — m759 @ 2:12 pm

— Um, there's supposed to be a Smithsonian event in there.

— Nothing on the schedule. Maybe it got moved to another room.

— I-I'm supposed to give a speech.

— I doubt it. But don't let that stop you. I'm a real good listener.

Read more at: https://tvshowtranscripts.ourboard.org/
viewtopic.php?f=1054&t=46169

Friday, September 3, 2021

“The Home Cube, Where the Couple Reside”

Filed under: General — Tags: , — m759 @ 7:12 pm

From the post "Games" of Jan. 31, 2021 —

“Once Knecht confessed to his teacher that he wished to
learn enough to be able to incorporate the system of the
I Ching  into the Glass Bead Game. Elder Brother laughed.
‘Go ahead and try’, he exclaimed. ‘You’ll see how it turns out.
Anyone can create a pretty little bamboo garden in the world.
But I doubt the gardener would succeed in incorporating
the world in his bamboo grove’ ” (P. 139).

— Hermann Hesse, The Glass Bead Game (Magister Ludi) .
Translated by Richard and Clara Winston ( London, Vintage, 2000).

Saturday, July 17, 2021

For Dio Boia

Filed under: General — Tags: — m759 @ 3:14 pm

From Ulysses , by James Joyce

Strong curtain. He found in the world without as actual what was in his world within as possible. Maeterlinck says: If Socrates leave his house today he will find the sage seated on his doorstep, If Judas go forth tonight it is to Judas his steps will tend . Every life is many days, day after day. We walk through ourselves, meeting robbers, ghosts, giants, old men, young men, wives, widows, brothers-in-love. But always meeting ourselves. The playwright who wrote the folio of this world and wrote it badly (He gave us light first and the sun two days later), the lord of things as they are whom the most Roman of catholics call dio boia , hangman god, is doubtless all in all in all of us….

Sunday, January 31, 2021

Games

Filed under: General — Tags: — m759 @ 4:33 pm

The ivory-tower games of the previous post, Space Poetics,
suggest a review of Hesse on the I Ching

“Once Knecht confessed to his teacher that he wished to
learn enough to be able to incorporate the system of the
I Ching  into the Glass Bead Game. Elder Brother laughed.
‘Go ahead and try’, he exclaimed. ‘You’ll see how it turns out.
Anyone can create a pretty little bamboo garden in the world.
But I doubt the gardener would succeed in incorporating
the world in his bamboo grove’ ” (P. 139).

— Hermann Hesse, The Glass Bead Game (Magister Ludi) .
Translated by Richard and Clara Winston ( London, Vintage, 2000).

The above passage is as quoted and cited in

“Language Games in the Ivory Tower:
Comparing the Philosophical Investigations  with
Hermann Hesse’s The Glass Bead Game ,”
by Georgina Edwards
First published: 13 December 2019,
https://onlinelibrary.wiley.com/doi/abs/10.1111/1467-9752.12389 .

The cited publication date was also the date of death for
a Harvard classmate of mine.  As an alumnus of Phillips Andover,
he might have preferred Oliver Wendell Holmes to Hesse.

Monday, November 9, 2020

Geometric Logic

Filed under: General — Tags: , — m759 @ 11:31 am

“Strawberry Fields Forever” — Song title

“Let me take you down
’Cause I’m going to Strawberry Fields
Nothing is real
And nothing to get hung about… ”  More

“Ah, but the strawberries, that’s, that’s where I had them,
they laughed at me and made jokes, but I proved
beyond the shadow of a doubt, and with geometric logic,
that a duplicate key to the wardroom icebox did exist,
and I’ve had produced that key if they hadn’t pulled
the Caine out of action.  I, I know now they were only
trying to protect some fellow officer. … Naturally, I can
only cover these things from memory. If I left anything out,
why, just ask me specific questions and I’ll be glad to
answer them, one by one.” — monologuedb.com

See also The Solomon Key .

Sunday, April 12, 2020

Blackboard Jungle Continues.

Filed under: General — m759 @ 10:00 pm

From a post this morning  by Peter J. Cameron
in memory of John Horton Conway —

” This happened at a conference somewhere in North America. I was chairing the session at which he was to speak. When I got up to introduce him, his title had not yet been announced, and the stage had a blackboard on an easel. I said something like ‘The next speaker is John Conway, and no doubt he is going to tell us what he will talk about.’ John came onto the stage, went over to the easel, picked up the blackboard, and turned it over. On the other side were revealed five titles of talks. He said, ‘I am going to give one of these talks. I will count down to zero; you are to shout as loudly as you can the number of the talk you want to hear, and the chairman will judge which number is most popular.’ “
From Log24 on August 21, 2014
Thursday, August 21, 2014

Nox

Filed under: Uncategorized — m759 @ 1:00 AM

( A sequel to  Lux )

“By groping toward the light we are made to realize
how deep the darkness is around us.”

— Arthur Koestler, The Call Girls: A Tragi-Comedy ,
Random House, 1973, page 118

Robin Williams and the Stages of Math

i)   shock & denial
ii)  anger
iii) bargaining
iv) depression
v)  acceptance

A related description of the process —

“You know how sometimes someone tells you a theorem,
and it’s obviously false, and you reach for one of the many
easy counterexamples only to realize that it’s not a
counterexample after all, then you reach for another one
and another one and find that they fail too, and you begin
to concede the possibility that the theorem might not
actually be false after all, and you feel your world start to
shift on its axis, and you think to yourself: ‘Why did no one
tell me this before?’ “

— Tom Leinster yesterday at The n-Category Café

Wednesday, February 13, 2019

April 18, 2003 (Good Friday), Continued

Filed under: General,Geometry — Tags: , — m759 @ 11:03 am

"The purpose of mathematics cannot be derived from an activity 
inferior to it but from a higher sphere of human activity, namely,
religion."

Igor Shafarevitch, 1973 remark published as above in 1982.

"Perhaps."

— Steven H. Cullinane, February 13, 2019

From Log24 on Good Friday, April 18, 2003

. . . What, indeed, is truth?  I doubt that the best answer can be learned from either the Communist sympathizers of MIT or the “Red Mass” leftists of Georgetown.  For a better starting point than either of these institutions, see my note of April 6, 2001, Wag the Dogma.

See, too, In Principio Erat Verbum , which notes that “numbers go to heaven who know no more of God on earth than, as it were, of sun in forest gloom.”

Since today is the anniversary of the death of MIT mathematics professor Gian-Carlo Rota, an example of “sun in forest gloom” seems the best answer to Pilate’s question on this holy day.  See

The Shining of May 29.

“Examples are the stained glass windows
of knowledge.” — Vladimir Nabokov

AGEOMETRETOS MEDEIS EISITO

Motto of Plato’s Academy


 The Exorcist, 1973

Detail from an image linked to in the above footnote —

"And the darkness comprehended it not."

Id est :

A Good Friday, 2003, article by 
a student of Shafarevitch

" there are 25 planes in W . . . . Of course,
replacing {a,b,c} by the complementary set
does not change the plane. . . ."

Of course.

See. however, Six-Set Geometry in this  journal.

Thursday, August 9, 2018

True Grids

Filed under: General,Geometry — Tags: , — m759 @ 7:59 pm

From a search in this journal for "True Grid,"
a fanciful description of  the 3×3 grid —

"This is the garden of Apollo,
the field of Reason…."
John Outram, architect    

A fanciful instance of the 4×2 grid in
a scene from the film "The Master" —

IMAGE- Joaquin Phoenix, corridor scene in 'The Master'

A fanciful novel referring to the number 8,
and a not -so-fanciful reference:

http://www.log24.com/log/pix18/180809-The_EIght-and-coordinates-for-PSL(2,7)-actions-500w.jpg

Illustrated above are Katherine Neville's novel The Eight  and the
"knight" coordinatization of the 4×2 grid from a page on the exceptional
isomorphism between PSL(3,2) (alias GL(3,2)) and PSL(2,7) — groups
of, respectively, degree 7 and degree 8.

Literature related to the above remarks on grids:

Ross Douthat's New York Times  column yesterday purported, following
a 1946 poem by Auden, to contrast students of the humanities with
technocrats by saying that the former follow Hermes, the latter Apollo.

I doubt that Apollo would agree.

Monday, May 28, 2018

Epstein on Art

Filed under: General — Tags: — m759 @ 2:16 pm

Joseph Epstein in the online Weekly Standard
on May 24, 2018, at 3:03 PM —

Hilton Kramer, in a powerful essay called “Revenge of the Philistines,” praised Wolfe’s account of the sociology of the visual art of the time. On the comedy inherent in the subject, he noted, Wolfe “is illuminating and often hilarious.” Yet, when it came to the analysis of ideas, Kramer felt, “when it comes down to actual works of art and the thinking they both embody and inspire, Wolfe is hopelessly out of his depth . . . and, no doubt, beyond his true interests.” He faulted Wolfe for his inability to understand the historical context of the contemporary situation in art or how we have come to where we are in a way that carries us well beyond “the drawing-room comedy of The Painted Word .” Kramer concluded: “It is this fundamental incomprehension of the role of criticism in the life of art—this enmity to the function of theory in the creation of culture—that identifies The Painted Word , despite its knowingness and its fun, as a philistine utterance, an act of revenge against a quality of mind it cannot begin to encompass and must therefore treat as a preposterous joke.”

For Kramer in greater depth, see an online biography.

Saturday, December 30, 2017

A Dream

Filed under: General — Tags: , — m759 @ 11:26 am

Say You, Say Me

Lionel Richie
. . . .

"I had a dream,
     I had an awesome dream
People in the park
     playing games in the dark
And what they played
     was a masquerade
And from behind walls of doubt
     a voice was crying out"
. . . .

 "Something else was behind this . . .
  because it makes no sense.”

— The author reviewed in today's previous post,
as quoted yesterday in The Boston Globe

Say you, say me, say  IT . . .

A comment on Sean Kelly's Christmas Morning column on "aliveness"
in the New York Times  philosophy series The Stone  —

Friday, March 3, 2017

PSI

Filed under: General — Tags: — m759 @ 2:56 pm

(Notes for Josefine, continued from December 22, 2013) 

From a prequel to The Shining , by Stephen King—

You had to keep an eye on the boiler
because if you didn’t, she would creep on you. 

What did that mean, anyway? Or was it just
one of those nonsensical things that sometimes
came to you in dreams, so much gibberish?
Of course there was undoubtedly a boiler
in the basement or somewhere to heat the place,
even summer resorts had to have heat sometimes,
didn’t they (if only to supply hot water)? But creep ?
Would a boiler creep ?
You had to keep an eye on the boiler.
It was like one of those crazy riddles,
why is a mouse when it runs,
when is a raven like a writing desk,
what is a creeping boiler? 

The boiler room from Kubrick's 'The Shining'

A related figure —

Sunday, January 1, 2017

Like the Horizon

(Continued from a remark by art critic Peter Schjeldahl quoted here
last  year on New Year's Day in the post "Art as Religion.")

"The unhurried curve got me.
It was like the horizon of a world
that made a non-world of
all of the space outside it."

— Peter Schjeldahl, "Postscript: Ellsworth Kelly,"
The New Yorker , December 30, 2015

This suggests some further material from the paper
that was quoted here yesterday on New Year's Eve —

"In teaching a course on combinatorics I have found
students doubting the existence of a finite projective
plane geometry with thirteen points on the grounds
that they could not draw it (with 'straight' lines)
on paper although they had tried to do so. Such a
lack of appreciation of the spirit of the subject is but
a consequence of the elements of formal geometry
no longer being taught in undergraduate courses.
Yet these students were demanding the best proof of
existence, namely, production of the object described."

— Derrick Breach (See his obituary from 1996.)

A related illustration of the 13-point projective plane
from the University of Western Australia:

Projective plane of order 3

(The four points on the curve
at the right of the image are
the points on the line at infinity .)

The above image is from a post of August 7, 2012,
"The Space of Horizons."  A related image —

Click on the above image for further remarks.

Tuesday, December 20, 2016

The Project’s Central Problem

Filed under: General — Tags: — m759 @ 10:00 am

From page 180, Logicomix —

http://www.log24.com/log/pix11/110420-DarkAndStormy-Logicomix.jpg

Alfred North Whitehead in the first of
the above-named years, 1906 —

"But the project's central problem was always there."

"The deeper we got into our Quest…
The more I doubted its premises."

— Attributed to Bertrand Russell
by Apostolos Doxiadis and Christos
Papadimitriou in Logicomix  (2008-9)

Thursday, March 31, 2016

Devil’s Gate Revisited

Filed under: General — Tags: — m759 @ 10:27 am

The revisiting, below, of an image shown here in part
on Spy Wednesday, 2016, was suggested in part by
a New York Times  obituary today for a Nobel-prize
winning Hungarian novelist. 

Note the references on the map to 
"Devil's Gate" and "Pathfinder."

See also the following from a review of The Pathseeker , a novel 
by the Nobel laureate (Imre Kertész), who reportedly died today —

The commissioner is in fact not in search of a path, but rather of traces of the past (more literally the Hungarian title means ‘trace seeker’). His first shock comes at his realization that the site of his sufferings has been converted into a museum, complete with tourists “diligently carrying off the significance of things, crumb by crumb, wearing away a bit of the unspoken importance” (59). He meets not only tourists, however. He also comes across paradoxically “unknown acquaintances who were just as much haunted by a compulsion to revisit,” including a veiled woman who slowly repeats to him the inventory of those she lost: “my father, my younger brother, my fiancé” (79). The commissioner informs her that he has come “to try to redress that injustice” (80). When she asks how, he suddenly finds the words he had sought, “as if he could see them written down: ‘So that I should bear witness to everything I have seen’” (80).

The act of bearing witness, however, proves elusive. In the museum he is compelled to wonder, “What could this collection of junk, so cleverly, indeed all too cleverly disguised as dusty museum material, prove to him, or to anyone else for that matter,” and adds the chilling observation, “Its objects could be brought to life only by being utilized” (71). As he touches the rust-eaten barbed wire fence he thinks, “A person might almost feel in the mood to stop and dutifully muse on this image of decay – were he not aware, of course, that this was precisely the goal; that the play of ephemerality was merely a bait for things” (66). It is this play of ephemerality, the possibility that the past will be consigned to the past, against which the commissioner struggles, yet his struggle is frustrated precisely by the lack of resistance, the indifference of the objects he has come to confront. “What should he cling on to for proof?” he wonders. “What was he to fight with, if they were depriving him of every object of the struggle? Against what was he to try and resist, if nothing was resisting?” (68) He had come with the purpose of “advertis[ing] his superiority, celebrat[ing] the triumph of his existence in front of these mute and powerless things. His groundless disappointment was fed merely by the fact that this festive invitation had received no response. The objects were holding their peace” (109). 

In point of fact The Pathseeker  makes no specific mention either of the Holocaust or of the concentration camps, yet the admittedly cryptic references to places leave no doubt that this is its subject. Above the gate at the camp the commissioner’s wife reads the phrase, “Jedem das Seine,” to each his due, and one recalls the sign above the entrance to the camp at Buchenwald. Further references to Goethe as well as the Brabag factory, where Kertész himself worked as a prisoner, confirm this. Why this subterfuge on the part of the author? Why a third-person narrative with an unnamed protagonist when so many biographical links tie the author to the story? One cannot help but wonder if Kertész sought specifically to avoid binding his story to particulars in order to maintain the ultimately metaphysical nature of the quest. Like many of Kertész’s works,The Pathseeker  is not about the trauma of the Holocaust itself so much as the trauma of survival. The self may survive but the triumph of that survival is chimerical.

Translator Tim Wilkinson made the bold decision, in translating the title of the work, not to resort to the obvious. Rather than simply translate Nyomkereső , an allusion to the Hungarian translation of James Fenimore Cooper’s The Pathfinder , back into English, he preserves an element of the unfamiliar in his title. This tendency marks many of the passages of the English translation, in which Wilkinson has opted to preserve the winding and often frustratingly serpentine nature of many of the sentences of the original instead of rewriting them in sleek, familiar English.  . . .

— Thomas Cooper

"Sleek, familiar English" —

"Those were the good old days!" — Applegate in "Damn Yankees"
(See previous post.)

Friday, March 4, 2016

Chess by Other Means

Filed under: General — m759 @ 7:22 pm

On film director Stanley Kubrick:

From "Kubrick," by Michael Herr, Vanity Fair , August 1999—

"He disliked the usual references to his having been a 'chess hustler' in his Greenwich Village days, as though this impugned the gravity and beauty of the exercise, the suggestion that his game wasn’t pour le sport  or, more correctly, pour l’art . To win the game was important, to win the money was irresistible, but it was nothing compared with his game, with the searching, endless action of working on his game. But of course he was hustling, he was always hustling; as he grew older and moved beyond still photography, chess became movies, and movies became chess by other means. I doubt that he ever thought of chess as just a game, or even as a game at all. I do imagine that a lot of people sitting across the board from him got melted, fried, and fragmented when Stanley let that cool ray come streaming down out of his eyes— talk about penetrating looks and piercing intelligence; here they’d sat down to a nice game of chess, and all of a sudden he was doing the thinking for both of them."

On physics writer Peter Woit:

From Part II of an interview with Peter Woit by Gerald Alper
in Smashpipe  published March 1, 2016:

"For just a moment, he allows himself to become self reflective: 'I was always a smart kid. A very smart kid. I suppose if I ever took a standardized test I would do very well, especially, in the area of abstract reasoning.'

Peter Woit says this as matter-of-factly as if he said, 'When I was a kid my father drove a Chevrolet.' He says it as Kareem Abdul-Jabbar, if asked to describe how he became the person he is, might have said 'I was always a tall kid. A very tall kid. In school, short kids bored me.'

I felt I had to say, 'but there must be a few million people in the United States who would also score very high in abstract thinking in the standardized tests and none of them have your interests.'

'The people around here all do. And there are thousands of us all around the world.'

'But there are 7 billion people in the world.'

Peter Woit had to concede the mathematical point, but I don't think he appreciated the psychological distinction I was alluding to. There is an astonishing divide between the culture of science and the culture of humanities that C.P. Snow famously alluded to. There is even a greater divide between the culture of pure mathematics and the culture of the earthbound evolutionarily programmed biological world into which we are born.

There is a celebrated quip by Dick Cavett that encapsulates this. Reflecting on his famous interview of the then reigning world chess champion, Bobby Fischer, he observed:

'Throughout the interview I could feel the force of his IQ.'

Paraphrasing this I could say that throughout the interview, which was at times exhilarating, at times daunting, I could feel the force of his two hundred QMIQ (quantum mechanics IQ). Norman Mailer once commented that the immediacy of television— the fact that most influential people in the world can be brought into your living room— creates the illusion that you have thereby been included in their inner power circle, and to that extent vicariously empowered. But you are no closer to the corridors of power then you were before. Analogously, you can sit just a few feet away from a world-class expert, close enough to reach out and touch them, but you are no closer to their accumulated wisdom— unless you are willing to go home and put in ten thousand hours of hard work trying to raise the level of your understanding."

http://www.log24.com/log/pix09A/091109-Nicole.jpg

Illustration from a post of
Schicksalstag  2009

Saturday, January 9, 2016

When Sisterhood Was in Flower

Filed under: General — m759 @ 5:29 pm

The title is a tribute to the late Florence King, who
reportedly died last Wednesday, January 6, 2016.

It is the title of one of her novels.

Related material from the date of King's death —

An excerpt from King's obituary —

Over the years, some critics took Miss King’s writing to task not for its ideology — the ideology, it was widely understood, went hand in glove with the work — but for its rhetorical excesses.

“She is sharp, no doubt about it,” the novelist and journalist Mary Cantwell wrote in The Times Book Review in 1982, reviewing Miss King’s satirical novel “When Sisterhood Was in Flower.” “Too bad she tends to blunt her points by pushing them too hard.”

But even a blunt instrument, Miss King made plain, admirably served her desired ends.

Margalit Fox in this afternoon's online New York Times

Wednesday, February 18, 2015

Late

Filed under: General — m759 @ 7:00 pm

For the late Paul Halmos

Keith Devlin's column is a monthly feature of the Mathematical
Association of America (MAA). This month's column apparently
first appeared online on Tuesday, Feb. 17, 2015. The column
itself, however, is, as of today, dated 12:00 AM Feb. 1, 2015.

It is doubtful whether the professor honored in the column
would approve of this temporal subterfuge.

Saturday, January 31, 2015

Spielraum

Filed under: General — Tags: — m759 @ 1:27 pm

From the concluding paragraph of a new book by
mathematician Michael Harris:

"A team of eminent scholars is completing a definitive
edition of Hausdorff’s collected works—'unique
in the annals of mathematical publishing'— with the
care befitting the literary figure he undoubtedly was….
he is honored as, perhaps, the first modern
mathematician to give a name to what we have been
calling the 'relaxed field'— he called it the
'Spielraum  of thought'— and as a mathematician
who never lost his sensitivity to his chosen field’s
problematic attractions while remaining fully aware that
every veil lifted only reveals another veil."

— Harris, Michael, Mathematics without Apologies:
Portrait of a Problematic Vocation  
(2015-01-18) 
(pp. 324-325). Princeton U. Press. Kindle Edition. 

Related material:  Spiel ist nicht Spielerei .

Tuesday, December 30, 2014

An Education

Filed under: General — m759 @ 1:01 am

AP Today in History 
Thought for the Day:

“I respect faith, but doubt is what
gives you an education.”
Wilson Mizner
     American playwright (1876-1933)*

From this journal on the (wide) release date
of "X-Men: First Class" —

A minimalist 3×3 matrix favicon—

http://www.log24.com/log/pix11A/110518-3x3FaviconURL.jpg

This may, if one likes, be viewed as the "nothing"
present at the Creation.  See Jim Holt on physics.

* A source —

Thursday, December 4, 2014

The Pony Argument

Filed under: General — Tags: — m759 @ 7:00 pm

The title was suggested by this morning's post "Follow This."

From a previous incarnation of my home website, m759.com —
The second of the site's three pages mentions authors
Alfred Bester and Zenna Henderson :

"Bester and Henderson are particularly good at
fictional accounts of telepathy. The noted Harvard
philosopher W. V. Quine doubts such a thing exists,
but I prefer the 'There must be a pony' argument."

Related material: The date Nov. 27, 2014, in a web search today 


 in The Washington Post 

and in this  journal

Friday, November 28, 2014

The Soul of Stanford

Filed under: General — m759 @ 6:00 pm

A search for background on the academic
author cited in the previous post yields…

"The debate is, in the words of one professor,
'a struggle for the intellectual soul of Stanford.'"

Some may doubt there is such a thing.
See Marissa Mayer in this journal…

and in Vogue  (a story dated August 16, 2013)—

IMAGE- Marissa Mayer on numbers in Vogue magazine

Friday, October 17, 2014

Raiders of the Inarticulate

Filed under: General — m759 @ 9:00 pm

On Walter Isaacson’s The Innovators :

“Yet as the book’s five hundred–plus pages unwind, Isaacson interrupts himself to present small bromides about what it means to innovate and what we might learn from these innovators, our presumed betters. “Innovation requires articulation,” he tells us, after explaining how the main strength of Grace Hopper, a trailblazing computer scientist for the US Navy, was her ability to speak in the languages of mathematicians, engineers, programmers, and soldiers alike. ‘One useful leadership talent is knowing when to push ahead against doubters and when to heed them,’ he offers later.

The book is peppered with these kinds of passages, which often intrude on the narrative, depriving us of moments of real emotional power.”

— Jacob Silverman in Bookforum , Sept/Oct/Nov 2014

From Isaacson’s book:

IMAGE- Bletchley Park and the Colossus computer

Related material:

In memory of T. S. Eliot…

… and in memory of Stanley Chase, producer of Colossus: The Forbin Project
and of Threepenny Opera :

Ninefold square from Colossus
(“There is another system”) —

Fourfold square introducing Brecht
in  Dreigroschen Trifft Vierfarben —

Tuesday, May 20, 2014

Play

Filed under: General,Geometry — Tags: — m759 @ 7:47 pm

From a recreational-mathematics weblog yesterday:

"This appears to be the arts section of the post,
so I’ll leave Martin Probert’s page on
The Survival, Origin and Mathematics of String Figures
here. I’ll be back to pick it up at the end. Maybe it’d like
to play with Steven H. Cullinane’s pages on the
Finite Geometry of the Square and Cube."

I doubt they would play well together.

Perhaps the offensive linking of  the purely recreational topic
of string figures to my own work was suggested by the
string figures' resemblance to figures of projective geometry.

A pairing I prefer:  Desargues and Galois —

IMAGE- Concepts of Space: The large Desargues configuration and two figures illustrating Cullinane models of Galois geometry

For further details, see posts on Desargues and Galois.

Sunday, May 11, 2014

For the Perplexed

Filed under: General — m759 @ 9:48 pm

From a New York Times  obituary by Bruce Weber tonight—

Charles Marowitz, Director and Playwright, Dies at 82

“There are two kinds of bafflement in the theater: the kind that fascinates as it perplexes, and the kind that just perplexes,” he wrote in The Times in 1969 in an essay about Mr. Shepard’s play “La Turista,” which had recently opened in London. “If a play doesn’t make quick sense, but enters into some kind of dialogue with our subconscious, we tend to admit it to that lounge where we entertain interesting-albeit-unfamiliar strangers.

“If it only baffles, there are several courses open to us: we can assume it is ‘above our heads’ or directed ‘to some other kind of person,’ or regretfully conclude that it confuses us because it is itself confused. However, the fear of being proved wrong is so great today that almost every new work which isn’t patently drivel gets the benefit of the doubt.”

 Another play by Sam Shepard mentioned in the obituary suggests a review of…

Thursday, January 2, 2014

Annals of Photography

Filed under: General — m759 @ 11:01 am

Amy Adams in this journal on April 26, 2013

"Do the words 'mullet toss' mean anything to you?"

Sunday, December 22, 2013

PSI

Filed under: General — Tags: — m759 @ 11:00 am

From a prequel to The Shining , by Stephen King—

You had to keep an eye on the boiler
because if you didn’t, she would creep on you. 

What did that mean, anyway? Or was it just
one of those nonsensical things that sometimes
came to you in dreams, so much gibberish?
Of course there was undoubtedly a boiler
in the basement or somewhere to heat the place,
even summer resorts had to have heat sometimes,
didn’t they (if only to supply hot water)? But creep ?
Would a boiler creep ?
You had to keep an eye on the boiler.
It was like one of those crazy riddles,
why is a mouse when it runs,
when is a raven like a writing desk,
what is a creeping boiler? 

See also Steam

For one answer to the riddle, click here.

Thursday, May 9, 2013

Mathematics and Narrative (continued)

Filed under: General — m759 @ 7:00 pm

"Why history?
Well, the essence of history  is story ,
and a good story is an end in itself."

— Barry Mazur, "History of Mathematics  as a tool,"
    February 17, 2013

This  journal on February 17, 2013:

FROM Christoph Waltz

Filed under: Uncategorized — m759 @ 12:12 AM 

"Currently in post-production": The Zero Theorem.

For Christoph Waltz

Filed under: Uncategorized — m759 @ 12:00 AM 

Raiders of the Lost Tesseract  continues…

SOCRATES: Is he not better off in knowing his ignorance?
MENO: I think that he is.
SOCRATES: If we have made him doubt, and given him the 'torpedo's shock,' have we done him any harm?
MENO: I think not.

Torpedo… LOS!

IMAGE- Theodore Sturgeon, 1972 reviews of Del Rey's 'Pstalemate' and Le Guin's 'Lathe of Heaven'   

See also today's previous post.

Friday, April 26, 2013

Master Class

Filed under: General — Tags: , — m759 @ 8:00 pm

Philip Seymour Hoffman in "Doubt"—

and in "A Late Quartet"—

Sunday, February 17, 2013

For Christoph Waltz

Filed under: General — m759 @ 12:00 am

Raiders of the Lost Tesseract  continues…

SOCRATES: Is he not better off in knowing his ignorance?
MENO: I think that he is.
SOCRATES: If we have made him doubt, and given him the 'torpedo's shock,' have we done him any harm?
MENO: I think not.

Torpedo… LOS!

Friday, January 25, 2013

Matchmaker, Matchmaker

Filed under: General — m759 @ 12:31 pm

A Google search for images matching
Amy Adams's door in the 2005 film
"Standing Still" yields a surprising result.

Related material: Adams in "Doubt" (2008).

See also A Touch of Glass.

Tuesday, October 9, 2012

Too Much Meaning

Filed under: General — Tags: — m759 @ 12:00 pm

Last night’s post discussed ways of draining the world of meaning.

For some tastes, poets like Dante do the opposite, supplying too much  meaning.

See a New Republic  review, dated Oct. 5, in which Harvard atheist Helen Vendler discusses Dante’s

“… assertion that Beatrice herself  ‘was this number [nine],’ since nine is the square of three, the number belonging to the Trinity. Dante’s fantastic reasoning requires pages of annotation, which Frisardi, drawing on a number of commentators, furnishes to the bewildered reader. The theological elaboration of the number nine— merely one instance of how far from our own* are Dante’s habits of thought— will convince any doubting reader that the Vita Nuova  requires annotation far beyond what its pages might seem to demand.”

Related material— Ninefold in this journal, and remarks by Joseph Campbell in a post, Plan 9, from Sept. 5.

* Speak for yourself, Helen.

Saturday, September 22, 2012

Occupy Space

Filed under: General — Tags: , — m759 @ 11:00 pm

(Continued)

"The word 'space' has, as you suggest, a large number of different meanings."

Nanavira Thera in [Early Letters. 136] 10.xii.1958

From that same letter (links added to relevant Wikipedia articles)—

Space (ākāsa) is undoubtedly used in the Suttas
to mean 'what/where the four mahābhūtas are not',
or example, the cavities in the body are called ākāsa
M.62—Vol. I, p. 423). This, clearly, is the everyday
'space' we all experience—roughly, 'What I can move
bout in', the empty part of the world. 'What you can't
ouch.' It is the 'space' of what Miss Lounsberry has so
appily described as 'the visible world of our five
senses'. I think you agree with this. And, of course, if
this is the only meaning of the word that we are
going to use, my 'superposition of several spaces' is
disqualified. So let us say 'superposition of several
extendednesses'. But when all these
extendednesses have been superposed, we get
'space'—i.e. our normal space-containing visible
world 'of the five senses'. But now there is another
point. Ākāsa is the negative of the four mahābhūtas,
certainly, but of the four mahābhūtas understood
in the same everyday sense—namely, solids (the
solid parts of the body, hair, nails, teeth, etc.),
liquids (urine, blood, etc.), heat and processes
(digestion) and motion or wind (N.B. not 'air').
These four, together with space, are the normal
furniture of our visible world 'of the five senses',
and it is undoubtedly thus that they are intended
in many Suttas. But there is, for example, a Sutta
(I am not sure where) in which the Ven. Sariputta
Thera is said to be able to see a pile of logs
successively as paṭhavi, āpo, tejo, and vāyo; and
it is evident that we are not on the same level.
On the everyday level a log of wood is solid and
therefore pathavi (like a bone), and certainly not
āpo, tejo, or vāyo. I said in my last letter that I
think that, in this second sense—i.e. as present in,
or constitutive of, any object (i.e. = rupa)—they
are structural and strictly parallel to nama and can
be defined exactly in terms of the Kummer
triangle. But on this fundamental level ākāsa has
no place at all, at least in the sense of our normal
everyday space. If, however, we take it as equivalent
to extendedness then it would be a given arbitrary
content—defining one sense out of many—of which
the four mahābhūtas (in the fundamental sense) are
the structure. In this sense (but only in this sense—
and it is probably an illegitimate sense of ākāsa)
the four mahābhūtas are the structure of space
(or spatial things). Quite legitimately, however, we
can say that the four mahābhūtas are the structure
of extended things—or of coloured things, or of smells,
or of tastes, and so on. We can leave the scientists'
space (full of right angles and without reference to the
things in it) to the scientists. 'Space' (= ākāsa) is the
space or emptiness of the world we live in; and this,
when analyzed, is found to depend on a complex
superposition of different extendednesses (because
all these extendednesses define the visible world
'of the five senses'—which will include, notably,
tangible objects—and this world 'of the five
senses' is the four mahābhūtas [everyday space]
and ākāsa).

Your second letter seems to suggest that the space
of the world we live in—the set of patterns
(superimposed) in which “we” are—is scientific space.
This I quite disagree with—if you do suggest it—,
since scientific space is a pure abstraction, never
experienced by anybody, whereas the superimposed
set of patterns is exactly what I experience—the set
is different for each one of us—, but in all of these
sets 'space' is infinite and undifferentiable, since it is,
by definition, in each set, 'what the four mahābhūtas
are not'. 

A simpler metaphysical system along the same lines—

The theory, he had explained, was that the persona
was a four-dimensional figure, a tessaract in space,
the elementals Fire, Earth, Air, and Water permutating
and pervolving upon themselves, making a cruciform
(in three-space projection) figure of equal lines and
ninety degree angles.

The Gameplayers of Zan ,
a 1977 novel by M. A. Foster

"I am glad you have discovered that the situation is comical:
 ever since studying Kummer I have been, with some difficulty,
 refraining from making that remark."

— Nanavira Thera, [Early Letters, 131] 17.vii.1958

Wednesday, September 12, 2012

Class Act

Filed under: General — m759 @ 5:31 pm

Once in love with Amy

IMAGE- Harvard Class of 2016 arrives

Later…

IMAGE- 'Romney Goes the Full D'Souza,' with picture of D'Souza film '2016'

Saturday, May 12, 2012

Fullness

Filed under: General — m759 @ 8:28 pm

Mormon Mitt Romney at the Baptist school Liberty University today:

"The task set before you four years ago
  is now completed in full."

I do not know what that task was. In this journal four years ago,
the task was lottery hermeneutics… a subject I doubt is taught
at Liberty University.

The New York lottery numbers from Sunday, May 11, 2008,
in a May 12 post four years ago could be interpreted as
pointing to the date 3/13— 

Say, 3/13, 2006— a date on which this journal quoted some
remarks on the biblical phrase "the fullness of time."

Those remarks were neither Baptist nor
Mormon, but rather Presbyterian.

Monday, January 30, 2012

Enda’s Game*

Filed under: General — Tags: , — m759 @ 7:00 pm

The following passage by Tolkien was suggested by a copy of next Sunday's New York Times Book Review  that arrived in the mail today. (See Orson Scott Card's remarks on page 26— "Uncle Orson"— and the Review 's concluding essay "Grand Allusion.")

"Lastly, tengwesta  [system or code of signs] has also become an impediment. It is in Incarnates clearer and more precise than their direct reception of thought. By it also they can communicate easily with others, when no strength is added to their thought: as, for example, when strangers first meet. And, as we have seen, the use of 'language' soon becomes habitual, so that the practice of ósanwe  (interchange of thought) is neglected and becomes more difficult. Thus we see that the Incarnate tend more and more to use or to endeavour to use ósanwe  only in great need and urgency, and especially when lambe  is unavailing. As when the voice cannot be heard, which comes most often because of distance. For distance in itself offers no impediment whatever to ósanwe . But those who by affinity might well use ósanwe  will use lambe  when in proximity, by habit or preference. Yet we may mark also how the 'affine' may more quickly understand the lambe  that they use between them, and indeed all that they would say is not put into words. With fewer words they come swifter to a better understanding. There can be no doubt that here ósanwe  is also often taking place; for the will to converse in lambe  is a will to communicate thought, and lays the minds open. It may be, of course, that the two that converse know already part of the matter and the thought of the other upon it, so that only allusions dark to the stranger need be made; but this is not always so. The affine** will reach an understanding more swiftly than strangers upon matters that neither have before discussed, and they will more quickly perceive the import of words that, however numerous, well-chosen, and precise, must remain inadequate."

* "If a poem catches a student's interest at all, he or she should damned well be able to look up an unfamiliar word in the dictionary…."

   — Elizabeth Bishop, quoted in the essay "Grand Allusion" mentioned above. For a brief dictionary of most of the unfamiliar words in this post's title and in the above passage, see Vinyar Tengwar  39 (July 1998). This is copyrighted but freely available on the Web.

** The word "affine" has connotations not intended by Tolkien. See that word in this journal. See also page 5 of next Sunday's Times Book Review , which contains a full-page ad for the 50th anniversary edition of A Wrinkle in Time . "There is  such a thing as a tesseract."

Sunday, December 11, 2011

Flirtations

Filed under: General — m759 @ 3:00 pm

From today's New York Times 

"We need a Steve Jobs of religion. Someone (or ones) who can invent not a new religion but, rather, a new way of being religious. Like Mr. Jobs’s creations, this new way would be straightforward and unencumbered and absolutely intuitive. Most important, it would be highly interactive. I imagine a religious space that celebrates doubt, encourages experimentation and allows one to utter the word God without embarrassment. A religious operating system for the Nones[*] among us. And for all of us."

— Eric Weiner , the author, most recently, of Man Seeks God: My Flirtations with the Divine .

[* A term for the religiously unaffiliated. See also the 3 PM hour of prayer.]

For highly interactive flirtations, I prefer Rebecca Larue.  ("Skyrockets in flight…")

Saturday, July 23, 2011

Death Argument

Filed under: General — Tags: — m759 @ 6:00 pm

Suggested by Peter J. Cameron's weblog post today on Halmos,
by a July 18 post in this  journal on the Norwegian mathematician Abel,
by a link in the July 18 post to  "Death Proof," and by today's
midday New York Lottery (459 and 7404)—

From July 4, 2004 (7404 interpreted as a date)—

"There are two unfortunate connotations of 'proof' that come from mathe-
matics and make the word inappropriate in discussions of the security of cryp-
tographic systems. The first is the notion of 100% certainty. Most people not
working in a given specialty regard a 'theorem' that is 'proved' as something
that they should accept without question. The second connotation is of an intri-
cate, highly technical sequence of steps. From a psychological and sociological
point of view, a 'proof of a theorem' is an intimidating notion: it is something
that no one outside an elite of narrow specialists is likely to understand in detail
or raise doubts about. That is, a 'proof' is something that a non-specialist does
not expect to really have to read and think about.

The word 'argument,' which we prefer here, has very different connotations."

— "Another Look at 'Provable Security'," 
by Neal Koblitz and Alfred J. Menezes, July 4, 2004
(updated on July 16, 2004; October 25, 2004; March 31, 2005; and May 4, 2005)

As for 459, see Post  459 in this journal.

Related material: The Race, Crossing the Bridge, Aristophanic View, and Story Theory.

Sunday, May 1, 2011

Quarantine Story

Filed under: General — Tags: , , — m759 @ 11:02 pm

A link in the previous post to Delos in this journal mentions physicist John Cramer.

His daughter Kathryn's weblog mentions the following story—

Graffiti in the Library of Babel  • David Langford

—from her forthcoming anthology Year's Best SF 16 .

From the Langford story—

"'I suppose we have a sort of duty…' Out of the corner of her eye Ceri saw her notes window change. She hadn't touched the keyboard or mouse. Just before the flatscreen went black and flickered into a reboot sequence, she saw the coloured tags where no tags had been before. In her own notes. Surrounding the copied words 'quarantine regulations.'"

Related material from this journal last Jan. 9

"Show me all  the blueprints."
 – Leonardo DiCaprio in "The Aviator" (2004)

http://www.log24.com/log/pix10B/100724-InceptionBlocks.jpg

DiCaprio in "Inception"

In the "blueprints" link above, DiCaprio's spelling of "Q-U-A-R-A-N-T-I-N-E" is of particular interest.

See also a search for Inception in this journal.

A post on a spelling bee at the end of that search quotes an essay on Walter Benjamin—

This blissful state between the world and its creator as expressed in Adamic language has its end, of course, in the Fall.  The “ignorance” introduced into the world that ultimately drives our melancholic state of acedia has its inception with the Fall away from the edenic union that joins God’s plan to the immediacy of the material world.  What ensues, says Benjamin, is an overabundance of conventional languages, a prattle of meanings now localized hence arbitrary.  A former connection to a defining origin has been lost; and an overdetermined, plethoric state of melancholia forms.  Over-determination stems from over-naming.  “Things have no proper names except in God.  . . . In the language of men, however, they are overnamed.”  Overnaming becomes “the linguistic being of melancholy.”7

7 Walter Benjamin, “On Language as Such and On the Languages of Man,” Edmund Jephcott, tr., Walter Benjamin , Selected Writings , Volume I:  1913-1926 , Marcus Bullock and Michael W. Jennings, eds., Cambridge, MA, Harvard University Press, 1997, p. 73.

Compare and contrast with a remark by a translator mentioned here previously

I fancy, myself, that this self-consciousness about translation dates approximately from the same time as man's self-consciousness about language itself. Genesis tells us that Adam named all the animals (just as in Indian tradition the monkey-god Hanuman invented grammar by naming all the plants in the Garden of Illo Tempore). No doubts, no self-consciousness: "Whatever Adam called every living creature, that was the name thereof." (Genesis II, 19). But after the expulsion from Paradise I see Adam doubting  the moment the possibility occurs that another name might  be possible. And isn't that what all translators are? Proposers, in another language, of another name ?

— Helen Lane in Translation Review , Vol. 5, 1980

Thursday, March 17, 2011

Remarks on Reality

Filed under: General,Geometry — Tags: — m759 @ 9:12 am

Conclusion of “The Place of Pure Mathematics” —

“Dogmas and philosophies, it would seem, rise and fall. But gradually accumulating throughout the ages, from the earliest dawn of history, there is a body of doctrine, a reasoned insight into the relations of exact ideas, painfully won and often tested. And this remains the main heritage of man; his little beacon of light amidst the solitudes and darknesses of infinite space; or, if you prefer, like the shout of children at play together in the cultivated valleys, which continues from generation to generation.

Yes, and continues for ever! A universe which has the potentiality of becoming thus conscious of itself is not without something of which that which we call memory is but an image. Somewhere, somehow, in ways we dream not of, when you and I have merged again into the illimitable whole, when all that is material has ceased, the faculty in which we now have some share, shall surely endure; the conceptions we now dimly struggle to grasp, the joy we have in the effort, these are but part of a greater whole. Some may fear, and some may hope, that they and theirs shall not endure for ever. But he must have studied Nature in vain who does not see that our spiritual activities are inherent in the mighty process of which we are part; who can doubt of their persistence.

And, on the intellectual side, of all that is best ascertained, and surest, and most definite, of these; of all that is oldest and most universal; of all that is most fundamental and far-reaching, of these activities, Pure Mathematics is the symbol and the sum.”

— From a 1913 address by geometry saint Henry Frederick Baker, who died on this date in 1956

The feast of another saint, Patrick, also falls on 3/17.  The date itself is related, if only by chance, to the following remark—

“317 is a prime, not because we think so,
or because our minds are shaped in one way
rather than another, but because it is so,
because mathematical reality is built that way.”

— From a 1940 book by the somewhat less saintly number theorist G. H. Hardy

Monday, February 21, 2011

The Abacus Conundrum*

From Das Glasperlenspiel  (Hermann Hesse, 1943) —

“Bastian Perrot… constructed a frame, modeled on a child’s abacus, a frame with several dozen wires on which could be strung glass beads of various sizes, shapes, and colors. The wires corresponded to the lines of the musical staff, the beads to the time values of the notes, and so on. In this way he could represent with beads musical quotations or invented themes, could alter, transpose, and develop them, change them and set them in counterpoint to one another. In technical terms this was a mere plaything, but the pupils liked it.… …what later evolved out of that students’ sport and Perrot’s bead-strung wires bears to this day the name by which it became popularly known, the Glass Bead Game.”

From “Mimsy Were the Borogoves” (Lewis Padgett, 1943)—

…”Paradine looked up. He frowned, staring. What in—
…”Is that an abacus?” he asked. “Let’s see it, please.”
…Somewhat unwillingly Scott brought the gadget across to his father’s chair. Paradine blinked. The “abacus,” unfolded, was more than a foot square, composed of thin,  rigid wires that interlocked here and there. On the wires the colored beads were strung. They could be slid back and forth, and from one support to another, even at the points of jointure. But— a pierced bead couldn’t cross interlocking  wires—
…So, apparently, they weren’t pierced. Paradine looked closer. Each small sphere had a deep groove running around it, so that it could be revolved and slid along the wire at the same time. Paradine tried to pull one free. It clung as though magnetically. Iron? It looked more like plastic.
…The framework itself— Paradine wasn’t a mathematician. But the angles formed by the wires were vaguely shocking, in their ridiculous lack of Euclidean logic. They were a maze. Perhaps that’s what the gadget was— a puzzle.
…”Where’d you get this?”
…”Uncle Harry gave it to me,” Scott said on the spur of the moment. “Last Sunday, when he came over.” Uncle Harry was out of town, a circumstance Scott well knew. At the age of seven, a boy soon learns that the vagaries of adults follow a certain definite pattern, and that they are fussy about the donors of gifts. Moreover, Uncle Harry would not return for several weeks; the expiration of that period was unimaginable to Scott, or, at least, the fact that his lie would ultimately be discovered meant less to him than the advantages of being allowed to keep the toy.
…Paradine found himself growing slightly confused as he attempted to manipulate the beads. The angles were vaguely illogical. It was like a puzzle. This red bead, if slid along this  wire to that  junction, should reach there— but it didn’t. A maze, odd, but no doubt instructive. Paradine had a well-founded feeling that he’d have no patience with the thing himself.
…Scott did, however, retiring to a corner and sliding beads around with much fumbling and grunting. The beads did  sting, when Scott chose the wrong ones or tried to slide them in the wrong direction. At last he crowed exultantly.
…”I did it, dad!”
…””Eh? What? Let’s see.” The device looked exactly the same to Paradine, but Scott pointed and beamed.
…”I made it disappear.”
…”It’s still there.”
…”That blue bead. It’s gone now.”
…Paradine didn’t believe that, so he merely snorted. Scott puzzled over the framework again. He experimented. This time there were no shocks, even slight. The abacus had showed him the correct method. Now it was up to him to do it on his own. The bizarre angles of the wires seemed a little less confusing now, somehow.
…It was a most instructive toy—
…It worked, Scott thought, rather like the crystal cube.

* Title thanks to Saturday Night Live  (Dec. 4-5, 2010).

Thursday, September 23, 2010

Evocation*

Filed under: General — m759 @ 6:00 am

"Epistulae ad familiares" (adfamiliares for short) at livejournal.com

"Prefatory notes evoke a Republic of Letters— or at least an academic support group— in which the writer claims membership. In fact, they often describe something much more tenuous, the group of those who the author wishes had read his work, offered him references, or at least given him the time of day. Hence they retain something of the literary— not to say fictional— quality of traditional poets' prayers." (Anthony Grafton, The Footnote: A Curious History)

P.S. This book rules.  Why did I wait so long to read it?

* See a definition. See also this  journal's previous post, Patterns in the Carpets. As for "those who the author wishes had read his work," see a quotation from an author mentioned in that post, Greg Egan, that seems relevant to the suicide outside Harvard's Memorial Church last Saturday during the morning Yom Kippur service—

… The word "transhumanism" (or, even worse, "posthumanism") sounds like a suicide note for the species, which effectively renders it a political suicide note for any movement by that name. No doubt there are people prepared to spend 90% of their time and energy explaining that they didn't intend  any negative connotations, but this is not one of those cases where other people will be to blame if "transhumanists" are reviled as the enemies of humanity on purely linguistic grounds. It's no use people proclaiming "Please, read my 1,000-page manifesto, don't just look at one word!"….

— Greg Egan on April 23, 2008,** at Metamagician and the Hellfire Club

Related material— A livejournal note on the Memorial Church suicide, nihilism, and a "final crux."

** Footnote to a footnote— See also Log24 on April 23, 2008— Shakespeare's birthday.

Wednesday, June 30, 2010

Field Dream

Filed under: General,Geometry — Tags: , , , , — m759 @ 10:23 am

In memory of Wu Guanzhong, Chinese artist who died in Beijing on Friday

Image-- The Dream of the Expanded Field

"Once Knecht confessed to his teacher that he wished to learn enough to be able to incorporate the system of the I Ching into the Glass Bead Game.  Elder Brother laughed.  'Go ahead and try,' he exclaimed.  'You'll see how it turns out.  Anyone can create a pretty little bamboo garden in the world.  But I doubt that the gardener would succeed in incorporating the world in his bamboo grove.'"

— Hermann Hesse, The Glass Bead Game, translated by Richard and Clara Winston

"The Chinese painter Wu Tao-tzu was famous because he could paint nature in a unique realistic way that was able to deceive all who viewed the picture. At the end of his life he painted his last work and invited all his friends and admirers to its presentation. They saw a wonderful landscape with a romantic path, starting in the foreground between flowers and moving through meadows to high mountains in the background, where it disappeared in an evening fog. He explained that this picture summed up all his life’s work and at the end of his short talk he jumped into the painting and onto the path, walked to the background and disappeared forever."

Jürgen Teichmann. Teichmann notes that "the German poet Hermann Hesse tells a variation of this anecdote, according to his own personal view, as found in his 'Kurzgefasster Lebenslauf,' 1925."

Saturday, June 12, 2010

Holy Geometry

Filed under: General,Geometry — m759 @ 10:31 am

The late mathematician V.I. Arnold was born on this date in 1937.

"By groping toward the light we are made to realize
 how deep the darkness is around us."
  — Arthur Koestler, The Call Girls: A Tragi-Comedy

Light

Image-- AMS site screenshot of V.I. Arnold obituary, June 12, 2010

Darkness

Image-- AMS site screenshot of Martin Gardner tribute, May 25, 2010

Choosing light rather than darkness, we observe Arnold's birthday with a quotation from his 1997 Paris talk 'On Teaching Mathematics.'

"The Jacobi identity (which forces the heights of a triangle to cross at one point) is an experimental fact…."

The "experimental fact" part, perhaps offered with tongue in cheek, is of less interest than the assertion that the Jacobi identity forces the altitude-intersection theorem.

Albert Einstein on that theorem in the "holy geometry book" he read at the age of 12—

"Here were assertions, as for example the intersection of the three altitudes of a triangle in one point, which– though by no means evident– could nevertheless be proved with such certainty that any doubt appeared to be out of the question.  This lucidity and certainty made an indescribable impression upon me.”

Arnold's much less  evident assertion about altitudes and the Jacobi identity is discussed in "Arnol'd, Jacobi identity, and orthocenters" (pdf) by Nikolai V. Ivanov.

Ivanov says, without giving a source,  that the altitudes theorem "was known to Euclid." Alexander Bogomolny, on the other hand, says it is "a matter of real wonderment that the fact of the concurrency of altitudes is not mentioned in either Euclid's Elements  or subsequent writings of the Greek scholars. The timing of the first proof is still an open question."

For other remarks on geometry, search this journal for the year of Arnold's birth.

Wednesday, May 19, 2010

Blue Note à Quatre

Filed under: General — Tags: , — m759 @ 3:00 am

The Concert à Quatre  "was Messiaen's last work, left unfinished on his desk at his death. His widow undoubtedly followed his wishes and style in completing the orchestration." —Leslie Gerber

Related material:

http://www.log24.com/log/pix10A/100519-Loriod.jpg

See also yesterday's Stone Junction, this morning's note on Heidegger 's Geviert, and Moulin Bleu from Beethoven's birthday, 2003—

Juliette Binoche in "Bleu"

Sunday, February 7, 2010

Today’s Sermon

Filed under: General — Tags: — m759 @ 11:00 am

Mathematics and Religion, continued–

Calvin Jongsma, review of an anthology titled Mathematics and the Divine

"Believers of many faiths have found significant points of contact between their religious outlooks and mathematics. Not all of these claims were made in the distant past or by certified crackpots…."

Edward Nelson in "Warning Signs of a Possible Collapse of Contemporary Mathematics"–

"The most impressive feature of Cantor’s theory is that he showed that there are different sizes of infinity, by his famous diagonal argument. But Russell applied this argument to establish his paradox: the set of all sets that are not elements of themselves both is and is not an element of itself."

Jongsma's assertion appears to be true. Nelson's appears to be false. Discuss.

Remarks:

Saying that someone applied some argument– any argument will do here– to establish a paradox– any paradox will do here– casts into doubt the validity of either the argument, the application of the argument, or both. In the Cantor-Russell case, such doubt is unnecessary, since the paradox is clearly independent of the diagonal argument. There is certainly an historical connection between Cantor's argument and Russell's paradox– see, for instance, Wikipedia on the latter. The historical connection is, however, not a logical connection.

For Russell discovering his paradox without the use of Cantor's diagonal argument, see Logicomix

Russell discovers his paradox

Click for some context.

Monday, January 4, 2010

Google’s Apple Tree

Filed under: General — m759 @ 11:30 am

http://www.log24.com/log/pix10/100104-Apple.jpg

Google has illuminated its search page today with a falling apple in honor of what it is pleased to call the birthday of Newton. (When Newton was born, the calendar showed it was Christmas Day, 1642; Google prefers to associate Sir Isaac with a later version of the calendar.)

Some related observations–

Adapted from a Log24 entry
of Monday, March 24, 2008–
 

 

"Hanging from the highest limb
of the apple tree are
     the three God's Eyes…"

    — Ken Kesey

"But what's beautiful can't be bad. You're not bad, North Wind?"

"No; I'm not bad. But sometimes beautiful things grow bad by doing bad, and it takes some time for their badness to spoil their beauty. So little boys may be mistaken if they go after things because they are beautiful."

"Well, I will go with you because you are beautiful and good, too."

"Ah, but there's another thing, Diamond:– What if I should look ugly without being bad– look ugly myself because I am making ugly things beautiful?– What then?"

"I don't quite understand you, North Wind. You tell me what then."

"Well, I will tell you. If you see me with my face all black, don't be frightened. If you see me flapping wings like a bat's, as big as the whole sky, don't be frightened. If you hear me raging ten times worse than Mrs. Bill, the blacksmith's wife– even if you see me looking in at people's windows like Mrs. Eve Dropper, the gardener's wife– you must believe that I am doing my work. Nay, Diamond, if I change into a serpent or a tiger, you must not let go your hold of me, for my hand will never change in yours if you keep a good hold. If you keep a hold, you will know who I am all the time, even when you look at me and can't see me the least like the North Wind. I may look something very awful. Do you understand?"

"Quite well," said little Diamond.

"Come along, then," said North Wind, and disappeared behind the mountain of hay.

Diamond crept out of bed and followed her.

    — George MacDonald,
      At the Back of the North Wind

   

From Log24 on Sunday, March 23, 2008–

 
A sequel to
The Crimson Passion

Easter Egg

Jill St. John with diamond

Click on image
 for further details.


Duality:


A pair of book covers in honor
  of the dies natalis of T. S. Eliot–

http://www.log24.com/log10/saved/100103-TheAristocrat_files/100104-Duality.jpg

From Virginia Woolf,  "Modern Fiction" (Ch. 13 in The Common Reader, First Series)

Woolf on what she calls "materialist" fiction–

Life escapes; and perhaps without life nothing else is worth while. It is a confession of vagueness to have to make use of such a figure as this, but we scarcely better the matter by speaking, as critics are prone to do, of reality. Admitting the vagueness which afflicts all criticism of novels, let us hazard the opinion that for us at this moment the form of fiction most in vogue more often misses than secures the thing we seek. Whether we call it life or spirit, truth or reality, this, the essential thing, has moved off, or on, and refuses to be contained any longer in such ill-fitting vestments as we provide. Nevertheless, we go on perseveringly, conscientiously, constructing our two and thirty chapters after a design which more and more ceases to resemble the vision in our minds. So much of the enormous labour of proving the solidity, the likeness to life, of the story is not merely labour thrown away but labour misplaced to the extent of obscuring and blotting out the light of the conception. The writer seems constrained, not by his own free will but by some powerful and unscrupulous tyrant who has him in thrall, to provide a plot, to provide comedy, tragedy, love interest, and an air of probability embalming the whole so impeccable that if all his figures were to come to life they would find themselves dressed down to the last button of their coats in the fashion of the hour. The tyrant is obeyed; the novel is done to a turn. But sometimes, more and more often as time goes by, we suspect a momentary doubt, a spasm of rebellion, as the pages fill themselves in the customary way. Is life like this? Must novels be like this?

Look within and life, it seems, is very far from being “like this”. Examine for a moment an ordinary mind on an ordinary day. The mind receives a myriad impressions—trivial, fantastic, evanescent, or engraved with the sharpness of steel. From all sides they come, an incessant shower of innumerable atoms; and as they fall, as they shape themselves into the life of Monday or Tuesday, the accent falls differently from of old; the moment of importance came not here but there; so that, if a writer were a free man and not a slave, if he could write what he chose, not what he must, if he could base his work upon his own feeling and not upon convention, there would be no plot, no comedy, no tragedy, no love interest or catastrophe in the accepted style, and perhaps not a single button sewn on as the Bond Street tailors would have it. Life is not a series of gig lamps symmetrically arranged; life is a luminous halo, a semi-transparent envelope surrounding us from the beginning of consciousness to the end. Is it not the task of the novelist to convey this varying, this unknown and uncircumscribed spirit, whatever aberration or complexity it may display, with as little mixture of the alien and external as possible? We are not pleading merely for courage and sincerity; we are suggesting that the proper stuff of fiction is a little other than custom would have us believe it.

It is, at any rate, in some such fashion as this that we seek to define the quality which distinguishes the work of several young writers, among whom Mr. James Joyce is the most notable….

Thursday, September 24, 2009

Thursday September 24, 2009

Filed under: General — Tags: , — m759 @ 2:01 am

Who Knows
What Evil Lurks…

The brain-in-a-jar on the cover of the new Pearl Jam album "Backspacer" (previous two entries) is apparently there because of a song on the album, "Unthought Known"–

"All the thoughts you never see
You are always thinking
Brain is wide, the brain is deep
Oh, are you sinking?"

The song title is from a book, The Shadow of the Object (Columbia U. Press, 1987), by psychoanalyst Christopher Bollas.

The "unthought known" phrase has been quoted widely by second-rate psychologizers and by some not so second-rate. Their lucubrations suggest that sinking brain-worshippers should seek a…

Amy Adams and Meryl Streep ('Doubt') as Catholic psychoanalysts, with their couch
The couch is from a 2002 exhibit
at London's White Cube gallery.

Sunday, June 21, 2009

Sunday June 21, 2009

Filed under: General — m759 @ 12:00 pm
Abstraction

From Mitchell Stephens, author of a website mentioned here yesterday:

“This paper is designed to be a conversation….

The ideas are organized loosely around a single theme: the Roman leader Pompey’s forced entry into the most sacred place of the Jewish temple. At issue are the origins and prevalence of doubt, even at the heart of religion….

The paper will be initially presented, with comments and additions, to the working group on ‘Secularism, Religious Authority, and the Mediation of Knowledge’ of the Center for Religion and Media at New York University on December 8, 2006.”

From the paper itself:

“All Pompey’s intrusion into the Holy of Holies will leave behind is one sentence in Tacitus; still, it is not hard to imagine it as a media show. As he enters this hidden room in the Temple of those weird, unGreek, Asian, tribal Jews, this cosmopolitan, sophisticated Roman is not just the insensitive anthropologist. He wants, to continue our imagining, to display the lack of contents of the Holy of Holies in a museum, to take them, like the treasures of Tutankhamen’s tomb, on tour. This all-powerful Roman wields klieg lights; he brings the press. He exposes. His expedition is something of an exposé. The whole scene feels as if it might have been filmed: like Dorothy’s peek behind the curtain at the diminutive Wizard of Oz. It feels as if it might have been televised: like Geraldo Rivera’s opening of Al Capone’s ‘secret vault.’ Pompey has in common with all journalists a desire to shove a microphone in God’s face. He wants to rant about what he has learned on his blog.

In his desecration of the Holy of Holies, Pompey has with him, in other words, what Jacques Derrida, in his essay ‘Faith and Knowledge,’ calls the ‘powers of abstraction’: ‘deracination, delocalization, disincarnation, formalization, universalizing schematization, objectification, telecommunication etc.'”

Related material:

Log24 entries of
 June 9-11, 2009.

Et cetera, et cetera.

Film posters-- 'Solomon and Sheba,' 'Strange Bedfellows'

Tuesday, May 26, 2009

Tuesday May 26, 2009

Filed under: General — m759 @ 12:00 pm
For Daedalus
“Some writers describe the
first draft as ‘making clay’….”– Janet Burroway

Quoted here
a year ago today:

“… she explores
the nature of identity
in a structure of
crystalline complexity.”

 — Janet Burroway
(See ART WARS.)

For Stevie Nicks on her birthday: ART WARS: THE CRAFT

Related material:

Amy Adams in 'Doubt'

Amy Adams in Doubt

Stars of 'Doubt,' Amy Adams and Meryl Streep

Amy Adams and Meryl Streep
at premiere of Doubt

Janet Burroway's 'Writing Fiction: A Guide to Narrative Craft,' fifth edition, with I Ching coins on cover

Above:
Craft, 1999

“The matron had given her
leave to go out as soon as
the women’s tea was over….”

— James Joyce, “Clay

Ite, missa est.”

Wednesday, March 18, 2009

Wednesday March 18, 2009

Filed under: General — Tags: — m759 @ 9:00 am
Gallic Clarity

Yesterday’s entry Deep Structures discussed the “semiotic square,” a device that exemplifies the saying “If you can’t dazzle ’em with brilliance, then baffle ’em with bullshit.”

A search today for what the Marxist critic Fredric Jameson might have meant by saying that the square “is capable of generating at least ten conceivable positions out of a rudimentary binary opposition” leads to two documents of interest.

1. “Theory Pictures as Trails: Diagrams and the Navigation of Theoretical Narratives” (pdf), by J.R. Osborn, Department of Communication, University of California, San Diego (Cognitive Science Online, Vol.3.2, pp.15-44, 2005)

2. “The Semiotic Square” (html), by Louis Hébert (2006), professor, Université du Québec à Rimouski, in Signo (http://www.signosemio.com).

Shown below is Osborn’s picture of the semiotic square:

http://www.log24.com/log/pix09/090318-OsbornTrails.jpg

Osborn’s discussion of the square, though more clear than, say, that of Rosalind Krauss (who reverses the bottom two parts of the square– see Deep Structures), fails. His Appendix A is miserably obscure.

On the brighter side, we have, as a sign that Gallic clarity still exists, the work of Hébert.

Here is how he approaches Jameson’s oft-quoted, but seemingly confused, remark about “ten conceivable positions”–

The Semiotic Square,”
  by Louis Hébert

1. ABSTRACT

The semiotic square, developed by Greimas and Rastier, is a means of refining oppositional analyses by increasing the number of analytical classes stemming from a given opposition from two (life/death, for instance) to four (for example, life, death, life and death (the living dead), and neither life nor death (angels)) to eight or even ten.

2. THEORY

The actantial model, isotopy and the semiotic square are undoubtedly the best-known theoretical propositions that have emerged from the Paris School of semiotics, with Greimas as its central figure. Like the actantial model and the veridictory square, the semiotic square is designed to be both a conceptual network and a visual representation of this network, usually depicted in the form of a “square” (which actually looks like a rectangle!). Courtés defines it as the visual representation of the logical structure of an opposition (cf. Courtés, 1991, 152). The semiotic square is a means of refining oppositional analyses by increasing the number of analytical classes stemming from a given opposition from two (for instance, life/death) to four (for example, life, death, life and death (the living dead), and neither life nor death (angels)) to eight or even ten. Here is an empty semiotic square.

Structure of the semiotic square

   
5. (=1+2) COMPLEX TERM
   
 
1. TERM A  
2. TERM B
 
9. (=1+4)
10. (=2+3)
 
3. TERM NOT-B  
4. TERM NOT-A
 

7. (=1+3)

POSITIVE DEIXIS

8. (=2+4) NEGATIVE DEIXIS
   
   
6. (=3+4) NEUTRAL TERM
   

LEGEND:
The + sign links the terms that are combined to make up a metaterm (a compound term); for example, 5 is the result of combining 1 and 2.

2.1 CONSTITUENT ELEMENTS

The semiotic square entails primarily the following elements (we are steering clear of the constituent relationships of the square: contrariety, contradiction, and complementarity or implication):

1. terms
2. metaterms (compound terms)
3. object(s) (classified on the square)
4. observing subject(s) (who do the classifying)
5. time (of the observation)

2.1.1 TERMS

The semiotic square is composed of four terms:

Position 1 (term A)
Position 2 (term B)
Position 3 (term not-B)
Position 4 (term not-A)

The first two terms form the opposition (the contrary relationship) that is the basis of the square, and the other two are obtained by negating each term of the opposition.

2.1.2 METATERMS

The semiotic square includes six metaterms. The metaterms are terms created from the four simple terms. Some of the metaterms have been named. (The complex term and the neutral term, despite their names, are indeed metaterms).

Position 5 (term 1 + term 2): complex term
Position 6 (term 3 + term 4): neutral term
Position 7 (term 1 + term 3): positive deixis
Position 8 (term 2 + term 4): negative deixis
Position 9 = term 1 + term 4: unnamed
Position 10 = term 2 + term 3: unnamed

These ten “positions” are apparently meant to explain Jameson’s remark.

Hébert’s treatment has considerably greater entertainment value than Osborn’s. Besides “the living dead” and angels, Hébert’s examples and exercises include vampires, transvestites, the Passion of Christ, and the following very relevant quotation:

“Simply let your ‘Yes’ be ‘Yes,’ and your ‘No,’ ‘No’; anything beyond this comes from the evil one.” (Matthew 5:37)

Friday, October 24, 2008

Friday October 24, 2008

Filed under: General,Geometry — Tags: , , — m759 @ 8:08 am

The Cube Space” is a name given to the eightfold cube in a vulgarized mathematics text, Discrete Mathematics: Elementary and Beyond, by Laszlo Lovasz et al., published by Springer in 2003. The identification in a natural way of the eight points of the linear 3-space over the 2-element field GF(2) with the eight vertices of a cube is an elementary and rather obvious construction, doubtless found in a number of discussions of discrete mathematics. But the less-obvious generation of the affine group AGL(3,2) of order 1344 by permutations of parallel edges in such a cube may (or may not) have originated with me. For descriptions of this process I wrote in 1984, see Diamonds and Whirls and Binary Coordinate Systems. For a vulgarized description of this process by Lovasz, without any acknowledgement of his sources, see an excerpt from his book.

 

Tuesday, July 15, 2008

Tuesday July 15, 2008

Filed under: General — m759 @ 10:10 pm

My comment on a discussion of elliptic curves and modular forms at Secret Blogging Seminar, about 10 PM tonight:

How does this affect popularized discussions of the Taniyama-Shimura conjecture– for instance, Ivars Peterson’s, in “Curving Beyond Fermat,” November 1999– which claim, for instance, that “Elliptic curves and modular forms are mathematically so different that mathematicians initially [in the 1950’s, the early days of the conjecture] couldn’t believe that the two are related.”?

Update of about 10:45 PM tonight:

A reply by the author of the discussion, Scott Carnahan:

I don’t think anyone doubted that there is a connection between elliptic curves and modular forms on the level I described above. However, the Taniyama-Shimura conjecture refers to a more advanced idea about a deeper connection.

Carnahan then gives a one-paragraph summary, definitely not popularized, of the deeper connection.

Wednesday, July 9, 2008

Wednesday July 9, 2008

Filed under: General — Tags: — m759 @ 8:00 pm

Ah! Bright Wings

A poem by the late Thomas Disch:

Sundays at the Colosseum

I think you always had to be a little juiced
to enjoy the show. Or Jewish!
    I never attended
without a flask of red, and would salute
the dying singers–
    martyrs they called themselves–
when the lions drew first blood.
    The songs
went on until either terror or death
had silenced the last of them. I doubt
we would have gone so religiously
if it weren't for the singing.
Sometimes we'd even sing along.
Circuses aren't the same these days.
    Pity.

From Disch's weblog on Friday,
   May 23, 2008, at 8:26 AM

Related material on a novel by Disch:

"On Wings of Song, published in 1979, tells the story of a repressive Amesville, Iowa, in the 21st century. The main character, Daniel Weinreb, tries to master the art of song and flight, 'driven by the knowledge that some have attained flight, their spirits separated from their physical bodies and propelled on the waves of their own singing voices– literally born on wings of song.'"

— Jocelyn Y. Stewart in a Los Angeles Times obituary of July 8, 2008
 

See also the Log24 entries for
 the date of Disch's poem–
 St. Sarah's Eve— and for
 the evening of July 8.
 

Saturday, July 5, 2008

Saturday July 5, 2008

Filed under: General — m759 @ 8:00 am
The Bacchae
by Euripides

New York Lottery
on the Fourth of July:
 
Mid-day 678
Evening 506

These numbers may be
interpreted as references to a
current Lincoln Center play —
The Bacchae, by Euripides.

Line 678 of The Bacchae —

From a Brandeis class’s translation (2006):

Messenger:

[677] Our feeding herds of cattle were just climbing
[678] above the treeline when the sun
[679] sent forth its rays to warm the earth.

Related cartoon by Ed Arno
(See yesterday morning’s Log24
and entries of June 27):

Van Gogh portrait by Ed Arno: the artist in sunlight, having written 'DEAR THEO' on his canvas

Related review by Charles Isherwood in today’s New York Times:

“A god deserves a great entrance. And Dionysus, the god of wine and party boy of Mount Olympus, whose celebratory rituals got the whole drama thing rolling in the first place, surely merits a spectacular one….”

Line 506 of The Bacchae —

From a 1988 translation (pdf) by Matthew A. Neuburg

Dionysus:

[506] You don’t know what you’re saying, what you’re doing, who you are.

Translator’s note:

506 The state of this line in the MSS has driven editors to despair; in particular, the first of the things Pentheus is said not to know is, in Greek, “what you are living,” which seems doubtful Greek. Many emendations have been proposed; I accept here DODDS’s emendation, but I have a feeling we’re missing something.

AMEN.

Thursday, July 3, 2008

Thursday July 3, 2008

Filed under: General — Tags: — m759 @ 7:59 am
Blasphemous Thoughts
about Thor

Commonweal on Gopnik on Chesterton:

"Gopnik thinks Chesterton’s aphorisms are better than any but Oscar Wilde’s, and he describes some of them as 'genuine Catholic koans, pregnant and profound.' For example: 'Blasphemy depends on belief, and is fading with it. If anyone doubts this, let him sit down seriously and try to think blasphemous thoughts about Thor.'"
 

Pregnant and Profound:
Douglas Adams on Thor

Kate felt quite dizzy. She didn't know exactly what it was that had just happened, but she felt pretty damn certain that it was the sort of experience that her mother would not have approved of on a first date.

"Is this all part of what we have to do to go to Asgard?" she said. "Or are you just fooling around?"

"We will go to Asgard… now," he said.

At that moment he raised his hand as if to pluck an apple, but instead of plucking he made a tiny, sharp turning movement.The effect was as if he had twisted the entire world through a billionth part of a billionth part of a degree. Everything shifted, was for a moment minutely out of focus, and then snapped back again as a suddenly different world.

The Long Dark Tea-Time of the Soul

See also
The Turning:

"A theorem proposed betwen the two–"

— Wallace Stevens, "The Rock"

The Turning: An Approach to the Theorem of Pythagoras

From The History of Mathematics,
by Roger Cooke

"… point A
In a perspective that begins again
At B…."

— Wallace Stevens, "The Rock"

Thursday, June 26, 2008

Thursday June 26, 2008

Filed under: General — m759 @ 10:04 am
Review
 
Yesterday, June 25, was the 100th anniversay of W.V. Quine's birth and also the day on the calendar opposite Christmas–  In the parlance of Quine's son Douglas, AntiChristmas.

Having survived that ominous date, I feel it is fitting to review what Wallace Stevens called "Credences of Summer"– religious principles for those who feel that faith and doubt are best reconciled by art.

 

"Credences of Summer," VII,

by Wallace Stevens, from
Transport to Summer (1947)

"Three times the concentred
     self takes hold, three times
The thrice concentred self,
     having possessed
The object, grips it
     in savage scrutiny,
Once to make captive,
     once to subjugate
Or yield to subjugation,
     once to proclaim
The meaning of the capture,
     this hard prize,
Fully made, fully apparent,
     fully found."

Definition of Epiphany

From James Joyce's Stephen Hero, first published posthumously in 1944. The excerpt below is from a version edited by John J. Slocum and Herbert Cahoon (New York: New Directions Press, 1959).

Three Times:

… By an epiphany he meant a sudden spiritual manifestation, whether in the vulgarity of speech or of gesture or in a memorable phase of the mind itself. He believed that it was for the man of letters to record these epiphanies with extreme care, seeing that they themselves are the most delicate and evanescent of moments. He told Cranly that the clock of the Ballast Office was capable of an epiphany. Cranly questioned the inscrutable dial of the Ballast Office with his no less inscrutable countenance:

— Yes, said Stephen. I will pass it time after time, allude to it, refer to it, catch a glimpse of it. It is only an item in the catalogue of Dublin's street furniture. Then all at once I see it and I know at once what it is: epiphany.

— What?

— Imagine my glimpses at that clock as the gropings of a spiritual eye which seeks to adjust its vision to an exact focus. The moment the focus is reached the object is epiphanised. It is just in this epiphany that I find the third, the supreme quality of beauty.

— Yes? said Cranly absently.

— No esthetic theory, pursued Stephen relentlessly, is of any value which investigates with the aid of the lantern of tradition. What we symbolise in black the Chinaman may symbolise in yellow: each has his own tradition. Greek beauty laughs at Coptic beauty and the American Indian derides them both. It is almost impossible to reconcile all tradition whereas it is by no means impossible to find the justification of every form of beauty which has ever been adored on the earth by an examination into the mechanism of esthetic apprehension whether it be dressed in red, white, yellow or black. We have no reason for thinking that the Chinaman has a different system of digestion from that which we have though our diets are quite dissimilar. The apprehensive faculty must be scrutinised in action.

— Yes …

— You know what Aquinas says: The three things requisite for beauty are, integrity, a wholeness, symmetry and radiance. Some day I will expand that sentence into a treatise. Consider the performance of your own mind when confronted with any object, hypothetically beautiful. Your mind to apprehend that object divides the entire universe into two parts, the object, and the void which is not the object. To apprehend it you must lift it away from everything else: and then you perceive that it is one integral thing, that is a thing. You recognise its integrity. Isn't that so?

— And then?

— That is the first quality of beauty: it is declared in a simple sudden synthesis of the faculty which apprehends. What then? Analysis then. The mind considers the object in whole and in part, in relation to itself and to other objects, examines the balance of its parts, contemplates the form of the object, traverses every cranny of the structure. So the mind receives the impression of the symmetry of the object. The mind recognises that the object is in the strict sense of the word, a thing, a definitely constituted entity. You see?

— Let us turn back, said Cranly.

They had reached the corner of Grafton St and as the footpath was overcrowded they turned back northwards. Cranly had an inclination to watch the antics of a drunkard who had been ejected from a bar in Suffolk St but Stephen took his arm summarily and led him away.

— Now for the third quality. For a long time I couldn't make out what Aquinas meant. He uses a figurative word (a very unusual thing for him) but I have solved it. Claritas is quidditas. After the analysis which discovers the second quality the mind makes the only logically possible synthesis and discovers the third quality. This is the moment which I call epiphany. First we recognise that the object is one integral thing, then we recognise that it is an organised composite structure, a thing in fact: finally, when the relation of the parts is exquisite, when the parts are adjusted to the special point, we recognise that it is that thing which it is. Its soul, its whatness, leaps to us from the vestment of its appearance. The soul of the commonest object, the structure of which is so adjusted, seems to us radiant. The object achieves its epiphany.

Having finished his argument Stephen walked on in silence. He felt Cranly's hostility and he accused himself of having cheapened the eternal images of beauty. For the first time, too, he felt slightly awkward in his friend's company and to restore a mood of flippant familiarity he glanced up at the clock of the Ballast Office and smiled:

— It has not epiphanised yet, he said.

Under the Volcano,

by Malcolm Lowry,
1947, Chapter VI:

"What have I got out of my life? Contacts with famous men… The occasion Einstein asked me the time, for instance. That summer evening…. smiles when I say I don't know. And yet asked me. Yes: the great Jew, who has upset the whole world's notions of time and space, once leaned down… to ask me… ragged freshman… at the first approach of the evening star, the time. And smiled again when I pointed out the clock neither of us had noticed."

An approach of
the evening star yesterday:

Four-elements figure from webpage 'The Rotation of the Elements'

This figure is from a webpage,
"The Rotation of the Elements,"
cited here yesterday evening.

As noted in yesterday's early-
morning entry on Quine
, the
figure is (without the labels)
a classic symbol of the
evening star.

"The appearance of the evening star brings with it long-standing notions of safety within and danger without. In a letter to Harriet Monroe, written December 23, 1926, Stevens refers to the Sapphic fragment that invokes the genius of evening: 'Evening star that bringest back all that lightsome Dawn hath scattered afar, thou bringest the sheep, thou bringest the goat, thou bringest the child home to the mother.' Christmas, writes Stevens, 'is like Sappho's evening: it brings us all home to the fold' (Letters of Wallace Stevens, 248)."

— Barbara Fisher,
"The Archangel of Evening,"
Chapter 5 of Wallace Stevens:
The Intensest Rendezvous
,
The University Press of Virginia, 1990

Saturday, June 21, 2008

Saturday June 21, 2008

Filed under: General — Tags: , — m759 @ 8:00 pm
For Mary Gaitskill

(See Eight is a Gate and
Faith, Doubt, Art, and
The New Yorker
.)

A sructure from
today's previous entry:

http://www.log24.com/log/pix08/080621-Gates.gif
 

From Notre-Dame de Paris:

"Un cofre de gran riqueza        
Hallaron dentro un pilar,       
Dentro del, nuevas banderas 
Con figuras de espantar."      

"A coffer of great richness   
     In a pillar's heart they found,
Within it lay new banners,
With figures to astound."  

For some further details, see
the brief Log24 narrative
"Indiana Jones and
the Hidden Coffer
" as well as
Symmetry Framed and
the design of the doors
to Rick's Cafe Americain:

IMAGE- The perception of doors in 'Casablanca'


Everyone comes to Rick's.

Tuesday, June 3, 2008

Tuesday June 3, 2008

Filed under: General — Tags: , — m759 @ 4:23 am
Faith, Doubt, Art
and
The New Yorker


On Faith:
 
"God is the original conspiracy theory….

Among the varieties of Christian monotheism, none is more totalitarian, none lodges more radical claims for God's omnipotence, than Calvinism– and within America, the chief analogue of Calvinist theology, Puritanism. According to Calvin every particle of dust, every act, every thought, every creature is governed by the will of God, and yields clues to the divine plan."

— Scott Sanders, "Pynchon's Paranoid History"

On Doubt:
 
"a Puritan reflex of seeking other orders beyond the visible, also known as paranoia"

Thomas Pynchon, Gravity's Rainbow (Penguin Classics, 1995), p. 188

On Art:

The current annual fiction issue of The New Yorker has a section of apparently non-fictional memoirs titled "Faith and Doubt."

I suggest that faith and doubt are best reconciled by art– as in A Contrapuntal Theme and in the magazine's current online podcast of Mary Gaitskill reading a 1948 New Yorker story by Vladimir Nabokov.

For the text of the story, see "Signs and Symbols." For an excellent discussion of Nabokov's art, see "The Signs and Symbols in Nabokov's 'Signs and Symbols,'" by Alexander Dolinin.

Friday, February 15, 2008

Friday February 15, 2008

Filed under: General — m759 @ 10:10 am
Door

Black monolith, 1x4x9
 
Step:

“Many dreams have been
brought to your doorstep.
They just lie there
 and they die there.”

Lyricist Ray Evans,
who died at 92
   one year ago today

Associated Press –
Today in History
Thought for Today:

“Like all dreamers I confuse
 disenchantment with truth.”
–Jean-Paul Sartre

The Return of the Author, by Eugen Simion:

On Sartre’s Les Mots

“Writing helps him find his own place within this vast comedy. He does not take to writing seriously yet, but he is eager to write books in order to escape the comedy he has been compelled to take part in.

The craft of writing appeared to me as an adult activity, so ponderously serious, so trifling, and, at bottom, so lacking in interest that I didn’t doubt for a moment that it was in store for me. I said to myself both ‘that’s all it is’ and ‘I am gifted.’ Like all dreamers, I confused disenchantment with truth.”

This is given in The Oxford Dictionary of Quotations (1999) as

Like all dreamers, I mistook disenchantment for truth.

Also from the AP’s
Today in History

Today’s Birthdays:
Actor Kevin McCarthy is 94.

Related material:

Hopkins at Heaven’s Gate
  (In context: October 2007)–

Anthony Hopkins at Dolly's Little Diner in Slipstream

“Dolly’s Little Diner–
Home from Home”

Wednesday, December 26, 2007

Wednesday December 26, 2007

Filed under: General — Tags: — m759 @ 12:00 pm
A Wonderful Life

Part I:
 
Language Games

 
on December 19:

 

http://www.log24.com/log/pix07A/071219-StanLilith.jpg

See also the noir entry on
"Nightmare Alley" for
Winter Solstice 2002,
as well as a solstice-related
commentary on I Ching
Hexagram 41, Decrease.

Part II:

Language Game
on Christmas Day

Pennsylvania Lottery
December 25, 2007:

PA Lottery Christmas Day: Mid-day 041 and 2911, Evening 173 and 0666
 

Part III:
 
A Wonderful Life

The Pennsylvania Lottery on Christmas at mid-day paired the number of the I Ching Hexagram 41, "Decrease," with the number 2911, which may be interpreted as a reference to I Chronicles 29:11
 
"Thine, O LORD is the greatness, and the power, and the glory, and the victory, and the majesty: for all that is in the heaven and in the earth is thine; thine is the kingdom, O LORD, and thou art exalted as head above all."

 

This verse is sometimes cited as influencing the Protestant conclusion of the Lord's Prayer:

"Thine is the kingdom, and the power, and the glory, forever" (Mt 6.13b; compare 1 Chr 29.11-13)….

This traditional epilogue to the Lord's prayer protects the petition for the coming of the kingdom from being understood as an exorcism, which we derive from the Jewish prayer, the Kaddish, which belonged at the time to the synagogical liturgy.

World Alliance of Reformed Churches

The Pennsylvania Lottery on Christmas evening paired 173 with the beastly number 0666.  The latter number suggests that perhaps being "understood as an exorcism" might not, in this case, be such a bad thing. What, therefore, might "173" have to do with exorcism?  A search in the context of the phrase "language games" yields a reference to Wittgenstein's Zettel, section 173:

http://www.log24.com/log/pix07A/071226-Zettel.jpg

From Charles L. Creegan, Wittgenstein and Kierkegaard:

Language-games give general guidelines of the application of language. Wittgenstein suggests that there are innumerably many language-games: innumerably many kinds of use of the components of language.24 The grammar of the language-game influences the possible relations of words, and things, within that game. But the players may modify the rules gradually. Some utterances within a given language-game are applications; others are 'grammatical remarks' or definitions of what is or should be possible. (Hence Wittgenstein's remark, 'Theology as grammar'25 – the grammar of religion.)

The idea of the 'form of life' is a reminder about even more basic phenomena. It is clearly bound up with the idea of language. (Language and 'form of life' are explicitly connected in four of the five passages from the Investigations in which the term 'form of life' appears.) Just as grammar is subject to change through language-uses, so 'form of life' is subject to change through changes in language. (The Copernican revolution is a paradigm case of this.) Nevertheless, 'form of life' expresses a deeper level of 'agreement.' It is the level of 'what has to be accepted, the given.'26 This is an agreement prior to agreement in opinions and decisions. Not everything can be doubted or judged at once.

This suggests that 'form of life' does not denote static phenomena of fixed scope. Rather, it serves to remind us of the general need for context in our activity of meaning. But the context of our meaning is a constantly changing mosaic involving both broad strokes and fine-grained distinctions.

The more commonly understood point of the 'Private Language Argument' – concerning the root of meaning in something public – comes into play here. But it is important to show just what public phenomenon Wittgenstein has in mind. He remarks: 'Only in the stream of thought and life do words have meaning.'27

24
Investigations, sec. 23.
25
Investigations, sec. 373; compare Zettel, sec. 717.
26
Investigations, p. 226e.
27
Zettel, sec. 173. The thought is expressed many times in similar words.

And from an earlier chapter of Creegan:

The 'possibility of religion' manifested itself in considerable reading of religious works, and this in a person who chose his reading matter very carefully. Drury's recollections include conversations about Thomas à Kempis, Samuel Johnson's Prayers, Karl Barth, and, many times, the New Testament, which Wittgenstein had clearly read often and thought about.25 Wittgenstein had also thought about what it would mean to be a Christian. Some time during the 1930s, he remarked to Drury: 'There is a sense in which you and I are both Christians.'26 In this context it is certainly worth noting that he had for a time said the Lord's Prayer each day.27

Wittgenstein's last words were: 'Tell them I've had a wonderful life!'28

25
Drury (1981) 'Conversations with Wittgenstein,' in Ludwig Wittgenstein: Personal Recollections, pp. 112ff.
26
Drury, 'Conversations,' p. 130.
27
Drury, 'Some notes,' p. 109.
28
Reported by Mrs. Bevan, the wife of the doctor in whose house Wittgenstein was staying. Malcolm, Memoir, p. 81.

Part IV:  

L'Envoi

For more on the Christmas evening
number of the beast, see Dec. 3:
  "Santa's Polar Opposite?" —

"Did he who made the Lamb
make thee?
"

Friday, December 21, 2007

Friday December 21, 2007

Filed under: General — m759 @ 9:29 am
Soft-Rock Jesus

An entry in memory of…

Dan Folgelberg, Super Hits album

Reflections of a screenwriter:

“I began to doubt the premises
of all the stories I had ever
told myself, a common condition
but one I found troubling.”

Joan Didion in
The White Album

On Fogelberg’s “Leader of the Band”
tribute to his father
:

“Dan included his father’s arrangement
of ‘The Washington Post March’….
Dan even showed up during the band’s
recording session to play cymbals….”

“Gosh, does this movie
have it all or what?”

The Washington Post,
Dec. 21, 2007

NY Times: Caspian Sea Pipeline Deal (starring Denise Richards)

Such, Denise, is the language of love.

Wednesday, October 24, 2007

Wednesday October 24, 2007

Filed under: General — Tags: , — m759 @ 9:26 am
Adieu:
A Story for Dobbs

Internet Movie Database on screenwriter Lem Dobbs:

"Trivia:
Son of painter R.B. (Ron) Kitaj.

Took his pseudonym from the character Humphrey Bogart played
in 'The Treasure of the Sierra Madre.'"

Bogart and Robert Blake in The Treasure of the Sierra Madre

Click for details.

NY Lottery Oct. 21, 2007: Mid-day 512, Evening 430

October 21 was the day
that R. B. Kitaj died.
For what Kitaj called
"midrashic glosses"
on the numbers and
the lucky sums, see
4/30, 5/12, and
Eight is a Gate.

Screenwriter Joan Didion:

"We tell ourselves stories in order to live….

We interpret what we see, select the most workable of multiple choices. We live entirely, especially if we are writers, by the imposition of a narrative line upon disparate images, by the 'ideas' with which we have learned to freeze the shifting phantasmagoria which is our actual experience.

Or at least we do for a while. I am talking here about a time when I began to doubt the premises of all the stories I had ever told myself, a common condition but one I found troubling."

David Cohen on R. B. Kitaj:

"He has come to be fascinated… by the kabbalah, finding in it parallels to the world of art and ideas. Every morning, after a long walk, he winds up at a Westwood café surrounded by pretty UCLA students where he studies the writings of Emmanuel Levinas, before working for an hour on his memoirs."

Levinas Adieu:

Levinas, and Derrida, on the Adieu

Click for source.

"There is no teacher
but the enemy.
"

— Orson Scott Card,  
Ender's Game

Saturday, September 15, 2007

Saturday September 15, 2007

Filed under: General — Tags: — m759 @ 8:00 pm
The Crimson Passion
continues...
 
Professors: Post Your Syllabi
 
Professors should post their
course syllabi before move-in,
not after class has started

The Harvard Crimson

Published On Friday, September 14, 2007  12:54 AM

"Classes start in three days, and that means it’s time to… examine course syllabi– that is if you can find them…." More >>


Classics 101:
The Holy Spook
 

IMAGE- Anthony Hopkins in 'The Human Stain'

Prof. Coleman Silk introducing
 freshmen to academic values

The Course Begins:

Larry Summers, former president
of Harvard, was recently invited,
then disinvited, to speak at a
politically correct UC campus.

A Guest Lecturer Speaks:

"This is so pathetic. I used to write long disquisitions on the ethical dimensions of behavior like this, but years of it can make a girl get very tired. And that's because this stuff is tiresome, and boring, and wrong, and pathetic, and so very indicative of the derailed character of academic life. It's more important to keep punishing Summers for a comment he made years ago– and apologized for many times over, and essentially lost the presidency of Harvard over– than it is just to move on and let free exchange happen on campuses. I doubt Summers would have devoted his time before the Regents to theorizing gender (not that I would personally care much if he did– I was not so mortally wounded by his observations as others were), and he is a brilliant man with much of value to bring to a visit with the Regents. But what does that matter when the opportunity to mob a politically incorrect academic presents itself?" —Erin O'Connor on Sept. 15, 2007

Illustration of the Theme:

Clarinetist Ken Peplowski
plays "Cry Me a River"
as Nicole Kidman focuses
the students' attention.

A sample Holy Spook,
Kurt Vonnegut, was introduced
by Peplowski on the birthday
this year of Pope Benedict XVI.

"Deeply vulgar"
Academic characterization
of Harvard president Summers

"Do they still call it
 the licorice stick?"
Kurt Vonnegut

Related Material:

The image “http://www.log24.com/log/pix07A/070915-Summers.jpg” cannot be displayed, because it contains errors.

Midnight Drums for Larry

Saturday, July 21, 2007

Saturday July 21, 2007

Filed under: General — Tags: — m759 @ 9:45 am

Death of a Nominalist

“All our words from loose using have lost their edge.” –Ernest Hemingway

(The Hemingway quotation is from the AP’s “Today in History” on July 21, 2007; for the context, see Death in the Afternoon.)

Today seems as good a day as any for noting the death of an author previously discussed in Log24 on January 29, 2007, and January 31, 2007.

Joseph Goguen
died on July 3, 2006. (I learned of his death only after the entries of January 2007 were written. They still hold.)

Goguen’s death may be viewed in the context of the ongoing war between the realism of Plato and the nominalism of the sophists. (See, for instance, Log24 on August 10-15, 2004, and on July 3-5, 2007.)

Joseph A. Goguen, “Ontology, Society, and Ontotheology” (pdf):

“Before introducing algebraic semiotics and structural blending, it is good to be clear about their philosophical orientation. The reason for taking special care with this is that, in Western culture, mathematical formalisms are often given a status beyond what they deserve. For example, Euclid wrote, ‘The laws of nature are but the mathematical thoughts of God.’ Similarly, the ‘situations’ in the situation semantics of Barwise and Perry, which resemble conceptual spaces (but are more sophisticated– perhaps too sophisticated), are considered to be actually existing, real entities [23], even though they may include what are normally considered judgements.5 The classical semiotics of Charles Sanders Peirce [24] also tends towards a Platonist view of signs. The viewpoint of this paper is that all formalisms are constructed in the course of some task, such as scientific study or engineering design, for the heuristic purpose of facilitating consideration of certain issues in that task. Under this view, all theories are situated social entities, mathematical theories no less than others; of course, this does not mean that they are not useful.”

5 The “types” of situation theory are even further removed from concrete reality.

[23] Jon Barwise and John Perry. Situations and Attitudes. MIT (Bradford), 1983.
[24] Charles Sanders Peirce. Collected Papers. Harvard, 1965. In 6 volumes; see especially Volume 2: Elements of Logic.

From Log24 on the date of Goguen’s death:

Requiem for a clown:

“At times, bullshit can only be
countered with superior bullshit.”

Norman Mailer

This same Mailer aphorism was quoted, along with an excerpt from the Goguen passage above, in Log24 this year on the date of Norman Mailer’s birth.  Also quoted on that date:

Sophia. Then these thoughts of Nature are also thoughts of God.

Alfred. Undoubtedly so, but however valuable the expression may be, I would rather that we should not make use of it till we are convinced that our investigation leads to a view of Nature, which is also the contemplation of God. We shall then feel justified by a different and more perfect knowledge to call the thoughts of Nature those of God….

Whether the above excerpt– from Hans Christian Oersted‘s The Soul in Nature (1852)– is superior to the similar remark of Goguen, the reader may decide.

Monday, May 28, 2007

Monday May 28, 2007

Filed under: General,Geometry — Tags: , , , , — m759 @ 5:00 pm
Space-Time

and a Finite Model

Notes by Steven H. Cullinane
May 28, 2007

Part I: A Model of Space-Time

The following paper includes a figure illustrating Penrose’s model of  “complexified, compactified Minkowski space-time as the Klein quadric in complex projective 5-space.”
 
The image “http://www.log24.com/log/pix07/070528-Twistor.jpg” cannot be displayed, because it contains errors.

Click on picture to enlarge.

For some background on the Klein quadric and space-time, see Roger Penrose, “On the Origins of Twistor Theory,” from Gravitation and Geometry: A Volume in Honor of Ivor Robinson, Bibliopolis, 1987.


Part II: A Corresponding Finite Model

 

The Klein quadric also occurs in a finite model of projective 5-space.  See a 1910 paper:

G. M. Conwell, The 3-space PG(3,2) and its group, Ann. of Math. 11, 60-76.

Conwell discusses the quadric, and the related Klein correspondence, in detail.  This is noted in a more recent paper by Philippe Cara:

The image “http://www.log24.com/log/pix07/070528-Quadric.jpg” cannot be displayed, because it contains errors.

 

As Cara goes on to explain, the Klein correspondence underlies Conwell’s discussion of eight heptads.  These play an important role in another correspondence, illustrated in the Miracle Octad Generator of R. T. Curtis, that may be used to picture actions of the large Mathieu group M24.


Related material:

The projective space PG(5,2), home of the Klein quadric in the finite model, may be viewed as the set of 64 points of the affine space AG(6,2), minus the origin.

The 64 points of this affine space may in turn be viewed as the 64 hexagrams of the Classic of Transformation, China’s I Ching.

There is a natural correspondence between the 64 hexagrams and the 64 subcubes of a 4x4x4 cube.  This correspondence leads to a natural way to generate the affine group AGL(6,2).  This may in turn be viewed as a group of over a trillion natural transformations of the 64 hexagrams.

Geometry of the I Ching.
“Once Knecht confessed to his teacher that he wished to learn enough to be able to incorporate the system of the I Ching into the Glass Bead Game.  Elder Brother laughed.  ‘Go ahead and try,’ he exclaimed.  ‘You’ll see how it turns out.  Anyone can create a pretty little bamboo garden in the world.  But I doubt that the gardener would succeed in incorporating the world in his bamboo grove.'”
— Hermann Hesse, The Glass Bead Game,
  translated by Richard and Clara Winston

Wednesday, January 31, 2007

Wednesday January 31, 2007

Filed under: General — Tags: — m759 @ 3:09 pm
Ontotheology

“At times, bullshit can only be
countered with superior bullshit.”
Norman Mailer

“It may be that universal history is the
history of the different intonations
given a handful of metaphors.”
— Jorge Luis Borges (1951),
“The Fearful Sphere of Pascal,”
in Labyrinths, New Directions, 1962

“Before introducing algebraic semiotics and structural blending, it is good to be clear about their philosophical orientation. The reason for taking special care with this is that, in Western culture, mathematical formalisms are often given a status beyond what they deserve. For example, Euclid wrote, ‘The laws of nature are but the mathematical thoughts of God.'”

— Joseph A. Goguen, “Ontology, Society, and Ontotheology” (pdf)

Goguen does not give a source for this alleged “thoughts of God” statement.

A Web search for the source leads only to A Mathematical Journey, by Stanley Gudder, who apparently also attributes the saying to Euclid.

Neither Goguen nor Gudder seems to have had any interest in the accuracy of the Euclid attribution.

Talk of “nature” and “God” seems unlikely from Euclid, a pre-Christian Greek whose pure mathematics has (as G. H. Hardy might be happy to point out) little to do with either.

Loose talk about God’s thoughts has also been attributed to Kepler and Einstein… and we all know about Stephen Hawking.

Gudder may have been misquoting some other author’s blather about Kepler.  Another possible source of the “thoughts of God” phrase is Hans Christian Oersted. The following is from Oersted’s The Soul in Nature

“Sophia. Nothing of importance; though indeed I had one question on my lips when the conversion took the last turn. When you alluded to the idea, that the Reason manifested in Nature is infallible, while ours is fallible, should you not rather have said, that our Reason accords with that of Nature, as that in the voice of Nature with ours?

Alfred. Each of these interpretations may be justified by the idea to which it applies, whether we start from ourselves or external nature. There are yet other ways of expressing it; for instance, the laws of Nature are the thoughts of  Nature.

Sophia. Then these thoughts of Nature are also thoughts of God.

Alfred. Undoubtedly so, but however valuable the expression may be, I would rather that we should not make use of it till we are convinced that our investigation leads to a view of Nature, which is also the contemplation of God. We shall then feel justified by a different and more perfect knowledge to call the thoughts of Nature those of God; I therefore beg you will not proceed to [sic] fast.”

Oersted also allegedly said that “The Universe is a manifestation of an Infinite Reason and the laws of Nature are the thoughts of God.” This remark was found (via Google book search) in an obscure journal that does not give a precise source for the words it attributes to Oersted.

The image “http://www.log24.com/log/pix07/070131-OerstedGudder.jpg” cannot be displayed, because it contains errors.

Thursday, January 4, 2007

Thursday January 4, 2007

Filed under: General — Tags: — m759 @ 12:00 pm

Readings for wise men
on the date of
T. S. Eliot's death:

"A cold coming we had of it…."

"… a Church is to be judged by its intellectual fruits, by its influence on the sensibility of the most sensitive and on the intellect of the most intelligent, and it must be made real to the eye by monuments of artistic merit."

— T. S. Eliot, For Lancelot Andrewes: Essays on Style and Order, published by Faber & Gwyer, London,  in 1928.

The visual "monuments of artistic merit" I prefer are not those of a Church– except, perhaps, the Church of Modernism.  Literary monuments are another matter.  I recommend:

The Death of Adam,

The Novels of Charles Williams, and

Let Sleeping Beauties Lie.
 

Related material
on style and order:

 

Eliot's essay on Andrewes begins,
"The Right Reverend Father in God,
Lancelot Bishop of Winchester,
died on September 25, 1626."

For evidence of Andrewes's
saintliness (hence, that
of Eliot) we may examine
various events of the
25th of September.

("On September 25th most of
the Anglican Communion
commemorates the day on which
Lancelot Andrewes died."
)

In Log24,
these events are…

Sept. 25, 2002

"Las Mañanitas"

Sept. 25, 2003

The image “http://www.log24.com/log/pix07/030925-Bubbles2.jpg” cannot be displayed, because it contains errors.

Aloha.

Sept. 25, 2004

Sept. 25, 2005

The image “http://www.log24.com/log/pix05B/050925-db3.gif” cannot be displayed, because it contains errors.

Sept. 25, 2006

The image “http://www.log24.com/log/pix07/060925-Medal2.jpg” cannot be displayed, because it contains errors.
(Yau and Perelman)

It seems that I am
somewhat out of step with
  the Anglican Communion…
though perhaps, in a sense,
in step with Eliot.

Note his words in
"Journey of the Magi":

Birth or Death?
There was a Birth, certainly,
We had evidence and no doubt.
I had seen birth and death,
But had thought they were different;
this Birth was
Hard and bitter agony for us,
like Death, our death.

See also entries for
Dec. 27, 2006 (the day of
Itche Goldberg's death) —

Photo op for Gerald Ford

— "Least Popular
Christmas Present
Revisited
" —

and for the same date
three years earlier

"If you don't play
some people's game, they say
that you have 'lost your marbles,'
not recognizing that,

while Chinese checkers
is indeed a fine pastime,
a person may also play dominoes,
chess, strip poker, tiddlywinks,
drop-the-soap or Russian roulette
with his brain.

One brain game that is widely,
if poorly, played is a gimmick
called 'rational thought.'"

Tom Robbins
 

Tuesday, December 5, 2006

Tuesday December 5, 2006

Filed under: General — m759 @ 5:01 am

Today in History
(via The Associated Press)

On this date (Dec. 5):

In 1776, the first scholastic fraternity in America, Phi Beta Kappa, was organized at the College of William and Mary in Williamsburg, Va.

In 1791, composer Wolfgang Amadeus Mozart died in Vienna, Austria, at age 35.

In 2006, author Joan Didion is 72.

Joan Didion, The White Album:

“We tell ourselves stories in order to live….

We interpret what we see, select the most workable of multiple choices. We live entirely, especially if we are writers, by the imposition of a narrative line upon disparate images, by the ‘ideas’ with which we have learned to freeze the shifting phantasmagoria which is our actual experience.

Or at least we do for a while. I am talking here about a time when I began to doubt the premises of all the stories I had ever told myself, a common condition but one I found troubling.”

An Alternate History

(based on entries of
the past three days):

“A FAMOUS HISTORIAN:

England, 932 A.D. —
A kingdom divided….”

Introduction to “Spamalot”

A Story That Works

  • “There is the dark, eternally silent, unknown universe;
  • there are the friend-enemy minds shouting and whispering their tales and always seeking the three miracles —
    • that minds should really touch, or
    • that the silent universe should speak, tell minds a story, or (perhaps the same thing)
    • that there should be a story that works, that is all hard facts, all reality, with no illusions and no fantasy;
  • and lastly, there is lonely, story-telling, wonder-questing, mortal me.”

    Fritz Leiber in “The Button Molder

Tuesday, October 31, 2006

Tuesday October 31, 2006

Filed under: General,Geometry — Tags: , , — m759 @ 11:00 pm
To Announce a Faith

From 7/07, an art review from The New York Times:

Endgame Art?
It's Borrow, Sample and Multiply
in an Exhibition at Bard College

"The show has an endgame, end-time mood….

I would call all these strategies fear of form…. the dismissal of originality is perhaps the oldest ploy in the postmodern playbook. To call yourself an artist at all is by definition to announce a faith, however unacknowledged, in some form of originality, first for yourself, second, perhaps, for the rest of us.

Fear of form above all means fear of compression– of an artistic focus that condenses experiences, ideas and feelings into something whole, committed and visually comprehensible."

— Roberta Smith

It is doubtful that Smith
 would consider the
following "found" art an
example of originality.

It nevertheless does
"announce a faith."


The image “http://www.log24.com/log/pix06A/061031-PAlottery2.jpg” cannot be displayed, because it contains errors.


"First for yourself"

Today's mid-day
Pennsylvania number:
707

See Log24 on 7/07
and the above review.
 

"Second, perhaps,
for the rest of us"

Today's evening
Pennsylvania number:
384

This number is an
example of what the
reviewer calls "compression"–

"an artistic focus that condenses
 experiences, ideas and feelings
into something
whole, committed
 and visually comprehensible."

"Experiences"

See (for instance)

Joan Didion's writings
(1160 pages, 2.35 pounds)
on "the shifting phantasmagoria
which is our actual experience."

"Ideas"

See Plato.

"Feelings"

See A Wrinkle in Time.

"Whole"

The automorphisms
of the tesseract
form a group
of order 384.

"Committed"

See the discussions of
groups of degree 16 in
R. D. Carmichael's classic
Introduction to the Theory
of Groups of Finite Order
.

"Visually comprehensible"

See "Diamond Theory in 1937,"
an excerpt from which
is shown below.

The image “http://www.log24.com/theory/images/Carmichael440abbrev.gif” cannot be displayed, because it contains errors.

The "faith" announced by
the above lottery numbers
on All Hallows' Eve is
perhaps that of the artist
Madeleine L'Engle:

"There is such a thing
as a tesseract.
"

Saturday, September 23, 2006

Saturday September 23, 2006

Filed under: General — m759 @ 9:00 am

“A corpse will be
transported by express!”

Under the Volcano,
by Malcolm Lowry (1947)


Dietrich


Minogue

“It has a ghastly familiarity,
like a half-forgotten dream.”

 — Poppy (Gene Tierney) in
The Shanghai Gesture.”

Temptation


Locomotive

The Star
of Venus


Locomotion

Joan Didion, The White Album:

“We tell ourselves stories in order to live….

We interpret what we see, select the most workable of multiple choices. We live entirely, especially if we are writers, by the imposition of a narrative line upon disparate images, by the ‘ideas‘ with which we have learned to freeze the shifting phantasmagoria which is our actual experience.

Or at least we do for a while. I am talking here about a time when I began to doubt the premises of all the stories I had ever told myself, a common condition but one I found troubling.”

From Patrick Vert,
The Narrative of Acceleration:

“There are plenty of anecdotes to highlight the personal, phenomenological experience of railway passage…

… a unique study on phantasmagoria and the history of imagination. The word originates [in] light-projection, the so-called ghost-shows of the early 19th century….

… thought becomes a phantasmagorical process, a spectral, representative location for the personal imagination that had been marginalized by scientific rationalism….

This phantasmagoria became more mediated over time…. Perception became increasingly visually oriented…. As this occurred, a narrative formed to encapsulate the phenomenology of it all….”

For such a narrative, see
the Log24.net entries of

From a Christian fairy tale:

Aslan’s last words come at the end of The Last Battle: ‘There was a real railway accident […] Your father and mother and all of you are–as you used to call it in the Shadow-Lands–dead. The term is over: the holidays have begun. The dream is ended: this is the morning.’….

Aslan is given the last word in these quiet but emphatic lines. He is the ultimate arbiter of reality: “‘There was a real railway accident.'” Plato, in addition to the Christian tradition, lies behind the closing chapters of The Last Battle. The references here to the Shadowlands and to the dream refer back to an earlier explanation by Digory, now the Lord Digory:

“[…] that was not the real Narnia. That had a beginning and an end. It was only a shadow or a copy of the real Narnia, which has always been here and always will be here: just as our world, England and all, is only a shadow or copy of something in Aslan’s real world. [….] Of course it is different; as different as a real thing is from a shadow or as waking life is from a dream. […] It’s all in Plato, all in Plato: bless me, what do they teach them at these schools!”

Joy Alexander, Aslan’s Speech

“I was reading Durant’s section on Plato, struggling to understand his theory of the ideal Forms that lay in inviolable perfection out beyond the phantasmagoria. (That was the first, and I think the last, time that I encountered that word.)”

Whether any of the above will be of use in comforting the families of those killed in yesterday morning’s train wreck in Germany is not clear.  Pope Benedict XVI, like C. S. Lewis, seems to think Greek philosophy may be of some use to those dealing with train wrecks:

“Modifying the first verse of the Book of Genesis, the first verse of the whole Bible, John began the prologue of his Gospel with the words: ‘In the beginning was the logos.‘ This is the very word used by the emperor: God acts, syn logo, with logos. Logos means both reason and word– a reason which is creative and capable of self-communication, precisely as reason. John thus spoke the final word on the biblical concept of God, and in this word all the often toilsome and tortuous threads of biblical faith find their culmination and synthesis. In the beginning was the logos, and the logos is God, says the Evangelist.”

Remarks of the Pope at the University of Regensburg on Sept. 12, 2006

Friday, August 11, 2006

Friday August 11, 2006

Filed under: General — Tags: — m759 @ 11:07 pm

Under God

Adapted from August 7:

 The image “http://www.log24.com/log/pix06A/060811-Glyphs2.jpg” cannot be displayed, because it contains errors.

“Saomai, the Vietnamese name
for the planet Venus, was the
eighth major storm to hit China
during an unusually violent
typhoon season.”

AP online tonight 

Memorable Quotes 

Lieutenant Daniel Taylor:
Where the Hell is
this God of yours?
 
Forrest Gump:
[narrating]
It’s funny Lieutenant Dan
said that, ’cause right then,
God showed up.

 Wind and thunder:
the image of Increase.
Thus the superior man:
If he sees good,
he imitates it;
If he has faults,
he rids himself of them.

Hexagram 42 

For further details,
see
recent entries
(August 7-11)
and also

Symmetry and Change
In the Dreamtime
.

Update of 1:06 AM ET
from KHYI:

Mercy Now 
Written by Mary Gauthier

My father could use a little mercy now
The fruits of his labor
Fall and rot slowly on the ground
His work is almost over
It won’t be long and he won’t be around
I love my father, and he could use some mercy now

My brother could use a little mercy now
He’s a stranger to freedom
He’s shackled to his fears and doubts
The pain that he lives in is
Almost more than living will allow
I love my brother, and he could use some mercy now

My church and my country could use a little mercy now
As they sink into a poisoned pit
That’s going to take forever to climb out
They carry the weight of the faithful
Who follow them down
I love my church and country, and they could use some mercy now

Every living thing could use a little mercy now
Only the hand of grace can end the race
Towards another mushroom cloud
People in power, well
They’ll do anything to keep their crown
I love life, and life itself could use some mercy now

Yeah, we all could use a little mercy now
I know we don’t deserve it
But we need it anyhow
We hang in the balance
Dangle ‘tween hell and hallowed ground
Every single one of us could use some mercy now
Every single one of us could use some mercy now
Every single one of us could use some mercy now

Friday, May 19, 2006

Friday May 19, 2006

Filed under: General — m759 @ 2:02 am
Peter Viereck

August 5, 1916 – May 13, 2006


The Great Bartender
by Peter Viereck (1948)

Being absurd as well as beautiful,
Magic– like art– is hoax redeemed by awe.
(Not priest but clown,
     the shuddering sorcerer
Is more astounded than
     his rapt applauders:
“Then all those props and Easters
     of my stage
Came true?  But I was joking all the time!”)
Art, being bartender, is never drunk;
And magic that believes itself, must die.
My star was rocket of my unbelief,
Launched heavenward as
     all doubt’s longings are;
     It burst when, drunk with self-belief,
I tried to be its priest and shouted upward:
“Answers at last!  If you’ll but hint
     the answers
For which earth aches, that famous
     Whence and Whither;
Assuage our howling Why? with final fact.”

— As quoted in The Practical Cogitator,
   or The Thinker’s Anthology
,
   Selected and Edited by
   Charles P. Curtis, Jr., and
   Ferris Greenslet,
   Third Edition, Revised and Enlarged,
   With a new Introduction by
   John H. Finley, Jr.,
   Houghton Mifflin Company,
   Boston, 1962

The dates of Viereck’s birth and death are according to this morning’s New York Times.

Related material:

Five Log24 entries
ending May 13,
 the date of Viereck’s death.

Thursday, April 27, 2006

Thursday April 27, 2006

Filed under: General — Tags: — m759 @ 7:08 pm

The Blue Buildings
in the Summer Air

by Wallace Stevens

(Collected Poems, pp. 216-217)

I.
Cotton Mather died when I was a boy. The books
He read, all day, all night and all the nights,
Had got him nowhere. There was always the doubt,
That made him preach the louder, long for a church
In which his voice would roll its cadences,
After the sermon, to quiet that mouse in the wall.

II.
Over wooden Boston, the sparkling Byzantine
Was everything that Cotton Mather was
And more. Yet the eminent thunder from the mouse,
The grinding in the arches of the church,
The plaster dropping, even dripping, down,
The mouse, the moss, the woman on the shore…

III.
If the mouse should swallow the steeple, in its
         time…
It was a theologian’s needle, much
Too sharp for that. The shore, the sea, the sun,
Their brilliance through the lattices, crippled
The chandeliers, their morning glazes spread
In opal blobs along the walls and floor.

IV.
Look down now, Cotton Mather, from the blank.
Was heaven where you thought? It must be there.
It must be where you think it is, in the light
On bed-clothes, in an apple on a plate.
It is the honey-comb of the seeing man.
It is the leaf the bird brings back to the boat.

V.
Go, mouse, go nibble at Lenin in his tomb.
Are you not le plus pur, you ancient one?
Cut summer down to find the honey-comb.
You are one… Go hunt for honey in his hair.
You are one of the not-numberable mice
Searching all day, all night, for the honey-comb.

Friday, February 24, 2006

Friday February 24, 2006

Filed under: General — Tags: , — m759 @ 10:31 pm

Final Club

For the feast of St. Matthias
(traditional calendar)–
from Amazon.com, a quoted Library Journal review of Geoffrey Wolff‘s novel The Final Club:

“‘What other colleges call fraternities, Princeton calls Eating Clubs. The Final Club is a group of 12 Princeton seniors in 1958 who make their own, distinctive club….
Young adults may find this interesting, but older readers need not join The Final Club.’
— Previewed in Prepub Alert, Library Journal 5/1/90.  Paul E. Hutchison, Fisherman’s Paradise, Bellefonte, Pa. Copyright 1990 Reed Business Information, Inc.”

From The Archivist, by Martha Cooley:

“Although I’ve always been called Matt, my first name isn’t Matthew but Matthias: after the disciple who replaced Judas Iscariot.  By the time I was four, I knew a great deal about my namesake.  More than once my mother read to me, from the New Testament, the story of how Matthias had been chosen by lot to take the place of dreadful Judas.  Listening, I felt a large and frightened sympathy for my predecessor.  No doubt a dark aura hung over Judas’s chair– something like the pervasive, bitter odor of Pall Malls in my father’s corner of the sofa.
As far as my mother was concerned, the lot of Matthias was the unquestionable outcome of an activity that seemed capricious to me: a stone-toss by the disciples.  I tried with difficulty to picture a dozen men dressed in dust-colored robes and sandals, playing a child’s game.  One of the Twelve had to carry on, my mother explained, after Judas had perpetrated his evil.  The seat couldn’t be left empty.  Hence Matthias: the Lord’s servants had pitched their stones, and his had traveled the farthest.”

Sunday, January 22, 2006

Sunday January 22, 2006

Filed under: General — Tags: — m759 @ 7:00 am
Fourstone Parable
(continued)

Alms for Oblivion:

IMAGE- Yale Babylonian tablet 7289 and Father Time

In memory of Akkadian scholar
Erica Reiner, who died at 81 on
December 31, 2005.

"Erica combined a tough-minded commitment to intellectual excellence with a dry wit, charm, and a deep love of art, music, and literature.  Erica's passion for her work was legendary. She was someone who expected the very highest standards of scholarly rigor both in her own work, and in the efforts of others."

Gil Stein, director of the Oriental Institute at the University of Chicago

A Mass for Dr. Reiner
was scheduled for
Friday the 13th
  at the church of
"doubting Thomas"–
St. Thomas the Apostle
in Chicago.

Friday, January 20, 2006

Friday January 20, 2006

Filed under: General,Geometry — Tags: — m759 @ 12:00 pm
Fourstone Parable

"Wherefore let it hardly… be… thought that the prisoner… was at his best a onestone parable
for… pathetically few… cared… to doubt… the canonicity of his existence as a tesseract."

Finnegans Wake, page 100, abridged

"… we have forgotten that we were angels and painted ourselves into a corner
of resource extraction and commodification of ourselves."

— A discussion, in a draft of a paper (rtf) attributed to Josh Schultz, 
of the poem "Diamond" by Attila Jozsef

Commodification of
the name Cullinane:

See the logos at
cullinane.com,
a design firm with
the motto

The image “http://www.log24.com/log/pix06/060120-Motto.jpg” cannot be displayed, because it contains errors.

(Note the 4Cs theme.)

To adapt a phrase from
Finnegans Wake, the
"fourstone parable" below
is an attempt to
decommodify my name.

Fourstone Parable:

(See also yesterday's "Logos."
The "communicate" logo is taken from
an online library at Calvin College;
the "connect" logo is a commonly
available picture of a tesseract
(Coxeter, Regular Polytopes, p. 123),
and the other two logos
are more or less original.)

For a more elegant
four-diamond figure, see
Jung and the Imago Dei.

Friday, December 2, 2005

Friday December 2, 2005

Filed under: General,Geometry — m759 @ 5:55 am

Proof 101

From a course description:

“This module aims to introduce the student to rigorous university level mathematics….
    Syllabus: The idea of and need for mathematical statements and proofs…. proof by contradiction… proof by induction…. the infinite number of primes….”

In the December Notices of the American Mathematical Society, Brian (E. B.) Davies, a professor of mathematics at King’s College London, questions the consistency of Peano Arithmetic (PA), which has the following axioms:

From BookRags.com

Axiom 1. 0 is a number.

Axiom 2. The successor of any number is a number.

Axiom 3. If a and b are numbers and if their successors are equal, then a and b are equal.

Axiom 4. 0 is not the successor of any number.

Axiom 5. If S is a set of numbers containing 0 and if the successor of any number in S is also in S, then S contains all the numbers.

It should be noted that the word “number” as used in the Peano axioms means “non-negative integer.”  The fifth axiom deserves special comment.  It is the first formal statement of what we now call the “induction axiom” or “the principle of mathematical induction.”

Peano’s fifth axiom particularly troubles Davies, who writes elsewhere:

I contend that our understanding of number should be placed in an historical context, and that the number system is a human invention.  Elementary arithmetic enables one to determine the number of primes less than twenty as certainly as anything we know.  On the other hand Peano arithmetic is a formal system, and its internal consistency is not provable, except within set-theoretic contexts which essentially already assume it, in which case their consistency is also not provable.  The proof that there exists an infinite number of primes does not depend upon counting, but upon the law of induction, which is an abstraction from our everyday experience…. 
… Geometry was a well developed mathematical discipline based upon explicit axioms over one and a half millennia before the law of induction was first formulated.  Even today many university students who have been taught the principle of induction prefer to avoid its use, because they do not feel that it is as natural or as certain as a purely algebraic or geometric proof, if they can find one.  The feelings of university students may not settle questions about what is truly fundamental, but they do give some insight into our native intuitions.

E. B. Davies in
   “Counting in the real world,”
    March 2003 (word format),
    To appear in revised form in
    Brit. J. Phil. Sci. as
   “Some remarks on
    the foundations
    of quantum mechanics”

Exercise:

Discuss Davies’s claim that

The proof that there exists an infinite number of primes does not depend upon counting, but upon the law of induction.

Cite the following passage in your discussion.

It will be clear by now that, if we are to have any chance of making progress, I must produce examples of “real” mathematical theorems, theorems which every mathematician will admit to be first-rate. 

… I can hardly do better than go back to the Greeks.  I will state and prove two of the famous theorems of Greek mathematics.  They are “simple” theorems, simple both in idea and in execution, but there is no doubt at all about their being theorems of the highest class.  Each is as fresh and significant as when it was discovered– two thousand years have not written a wrinkle on either of them.  Finally, both the statements and the proofs can be mastered in an hour by any intelligent reader, however slender his mathematical equipment.

I. The first is Euclid’s proof of the existence of an infinity of prime numbers.

The prime numbers or primes are the numbers

   (A)   2, 3, 5, 7, 11, 13, 17, 19, 23, 29, … 

which cannot be resolved into smaller factors.  Thus 37 and 317 are prime.  The primes are the material out of which all numbers are built up by multiplication: thus

    666 = 2 . 3 . 3 . 37. 

Every number which is not prime itself is divisible by at least one prime (usually, of course, by several).   We have to prove that there are infinitely many primes, i.e. that the series (A) never comes to an end.

Let us suppose that it does, and that

   2, 3, 5, . . . , P
 
is the complete series (so that P is the largest prime); and let us, on this hypothesis, consider the number

   Q = (2 . 3 . 5 . . . . . P) + 1.

It is plain that Q is not divisible by any of

   2, 3, 5, …, P;

for it leaves the remainder 1 when divided by any one of these numbers.  But, if not itself prime, it is divisible by some prime, and therefore there is a prime (which may be Q itself) greater than any of them.   This contradicts our hypothesis, that there is no prime greater than P; and therefore this hypothesis is false.

The proof is by reductio ad absurdum, and reductio ad absurdum, which Euclid loved so much, is one of a mathematician’s finest weapons.  It is a far finer gambit than any chess gambit: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game.

— G. H. Hardy,
   A Mathematician’s Apology,
   quoted in the online guide for
   Clear and Simple as the Truth:
   Writing Classic Prose, by
   Francis-Noël Thomas
   and Mark Turner,
   Princeton University Press

In discussing Davies’s claim that the above proof is by induction, you may want to refer to Davies’s statement that

Geometry was a well developed mathematical discipline based upon explicit axioms over one and a half millennia before the law of induction was first formulated

and to Hardy’s statement that the above proof is due to Euclid.

Friday, November 25, 2005

Friday November 25, 2005

Filed under: General,Geometry — m759 @ 9:00 pm

Holy Geometry

What was “the holy geometry book” (“das heilige Geometrie-Büchlein,” p. 10 in the Schilpp book below) that so impressed the young Albert Einstein?

“At the age of 12 I experienced a second wonder of a totally different nature: in a little book dealing with Euclidian plane geometry, which came into my hands at the beginning of a schoolyear.  Here were assertions, as for example the intersection of the three altitudes of a triangle in one point, which– though by no means evident– could nevertheless be proved with such certainty that any doubt appeared to be out of the question.  This lucidity and certainty made an indescribable impression upon me.”

(“Im Alter von 12 Jahren erlebte ich ein zweites Wunder ganz verschiedener Art: An einem Büchlein über Euklidische Geometrie der Ebene, das ich am Anfang eines Schuljahres in die Hand bekam.  Da waren Aussagen wie z.B. das Sich-Schneiden der drei Höhen eines Dreieckes in einem Punkt, die– obwohl an sich keineswegs evident– doch mit solcher Sicherheit bewiesen werden konnten, dass ein Zweifel ausgeschlossen zu sein schien.  Diese Klarheit und Sicherheit machte einen unbeschreiblichen Eindruck auf mich.”)

— Albert Einstein, Autobiographical Notes, pages 8 and 9 in Albert Einstein: Philosopher-Scientist, ed. by Paul A. Schilpp

From a website by Hans-Josef Küpper:

“Today it cannot be said with certainty which book is Einstein’s ‘holy geometry book.’  There are three different titles that come into question:

Theodor Spieker, 1890
Lehrbuch der ebenen Geometrie. Mit Übungsaufgaben für höhere Lehranstalten.

Heinrich Borchert Lübsen, 1870
Ausführliches Lehrbuch der ebenen und sphärischen Trigonometrie. Zum Selbstunterricht. Mit Rücksicht auf die Zwecke des praktischen Lebens.

Adolf Sickenberger, 1888
Leitfaden der elementaren Mathematik.

Young Albert Einstein owned all of these three books. The book by T. Spieker was given to him by Max Talmud (later: Talmey), a Jewish medic. The book by H. B. Lübsen was from the library of his uncle Jakob Einstein and the one of A. Sickenberger was from his parents.”

Küpper does not state clearly his source for the geometry-book information.

According to Banesh Hoffman and Helen Dukas in Albert Einstein, Creator and Rebel, the holy geometry book was Lehrbuch der Geometrie zum Gebrauch an höheren Lehranstalten, by Eduard Heis (Catholic astronomer and textbook writer) and Thomas Joseph Eschweiler.

An argument for Sickenberger from The Young Einstein: The Advent of Relativity (pdf), by Lewis Pyenson, published by Adam Hilger Ltd., 1985:

   Throughout Einstein’s five and a half years at the Luitpold Gymnasium, he was taught mathematics from one or another edition of the separately published parts of Sickenberger’s Textbook of Elementary Mathematics.  When it first appeared in 1888 the book constituted a major contribution to reform pedagogy.  Sickenberger based his book on twenty years of experience that in his view necessarily took precedence over ‘theoretical doubts and systematic scruples.’  At the same time Sickenberger made much use of the recent pedagogical literature, especially that published in the pages of Immanuel Carl Volkmar Hoffmann’s Zeitschrift für mathematischen und naturwissenschaftlichen Unterricht, the leading pedagogical mathematics journal of the day.  Following in the tradition of the reform movement, he sought to present everything in the simplest, most intuitive way possible.  He opposed introducing scientific rigour and higher approaches in an elementary text.  He emphasised that he would follow neither the synthesis of Euclidean geometry nor the so-called analytical-genetic approach.  He opted for a great deal of freedom in the form of presentation because he believed that a textbook was no more than a crutch for oral instruction.  The spoken word, in Sickenberger’s view, could infuse life into the dead forms of the printed text.  Too often, he insisted in the preface to his text, mathematics was seen and valued ‘as the pure science of reason.’  In reality, he continued, mathematics was also ‘an essential tool for daily work.’  In view of the practical dimension of mathematics Sickenberger sought most of all to present basic propositions clearly rather than to arrive at formal conciseness.   Numerous examples took the place of long, complicated, and boring generalities.  In addition to the usual rules of arithmetic Sickenberger introduced diophantine equations.  To solve three linear, homogeneous, first-order equations with three unknowns he specified determinants and determinant algebra.  Then he went on to quadratic equations and logarithms.  In the second part of his book, Sickenberger treated plane geometry.
     According to a biography of Einstein written by his step-son-in-law, Rudolf Kayser– one that the theoretical physicist described as ‘duly accurate’– when he was twelve years old Einstein fell into possession of the ‘small geometry book’ used in the Luitpold Gymnasium before this subject was formally presented to him.  Einstein corroborated Kayser’s passage in autobiographical notes of 1949, when he described how at the age of twelve ‘a little book dealing with Euclidean plane geometry’ came into his hands ‘at the beginning of a school year.’  The ‘lucidity and certainty’ of plane geometry according to this ‘holy geometry booklet’ made, Einstein wrote, ‘an indescribable impression on me.’  Einstein saw here what he found in other texts that he enjoyed: it was ‘not too particular’ in logical rigour but ‘made up for this by permitting the main thoughts to stand out clearly and synoptically.’  Upon working his way through this text, Einstein was then presented with one of the many editions of Theodor Spieker’s geometry by Max Talmey, a medical student at the University of Munich who dined with the Einsteins and who was young Einstein’s friend when Einstein was between the ages of ten and fifteen.  We can only infer from Einstein’s retrospective judgment that the first geometry book exerted an impact greater than that produced by Spieker’s treatment, by the popular science expositions of Aaron Bernstein and Ludwig Büchner also given to him by Talmey, or by the texts of Heinrich Borchert Lübsen from which Einstein had by the age of fourteen taught himself differential and integral calculus.
     Which text constituted the ‘holy geometry booklet’?  In his will Einstein gave ‘all his books’ to his long-time secretary Helen Dukas.  Present in this collection are three bearing the signature ‘J Einstein’: a logarithmic and trigonometric handbook, a textbook on analysis, and an introduction to infinitesimal calculus.  The signature is that of Einstein’s father’s brother Jakob, a business partner and member of Einstein’s household in Ulm and Munich.  He presented the books to his nephew Albert.  A fourth book in Miss Dukas’s collection, which does not bear Jakob Einstein’s name, is the second part of a textbook on geometry, a work of astronomer Eduard Heis’s which was rewritten after his death by the Cologne schoolteacher Thomas Joseph Eschweiler.  Without offering reasons for his choice Banesh Hoffmann has recently identified Heis and Eschweiler’s text as the geometry book that made such an impression on Einstein.  Yet, assuming that Kayser’s unambiguous reporting is correct, it is far more likely that the geometrical part of Sickenberger’s text was what Einstein referred to in his autobiographical notes.  Sickenberger’s exposition was published seven years after that of Heis and Eschweiler, and unlike the latter it appeared with a Munich press.  Because it was used in the Luitpold Gymnasium, copies would have been readily available to Uncle Jakob or to whoever first acquainted Einstein with Euclidean geometry.”

What might be the modern version of a “holy geometry book”?

I suggest the following,
first published in 1940:

The image “http://www.log24.com/log/pix05B/BasicGeometry.gif” cannot be displayed, because it contains errors.

Click on picture for details.

Tuesday, October 11, 2005

Tuesday October 11, 2005

Filed under: General — m759 @ 2:08 pm
Storytelling
and Game Theory

The image “http://www.log24.com/log/pix05B/051011-Crowe2.jpg” cannot be displayed, because it contains errors.

Click on picture for details.

“Game theory is no doubt wonderful for telling stories.  However, it flunks the main test of any scientific theory: The ability to make empirically testable predictions.”

— “A Nobel Letdown in Economics,”
     by Michael Mandel in Business Week

Monday, June 27, 2005

Monday June 27, 2005

Filed under: General — m759 @ 12:00 am

Into the Dark

O dark dark dark. They all go into the dark,
The vacant interstellar spaces, the vacant into the vacant
….
And we all go with them, into the silent funeral,
Nobody’s funeral, for there is no one to bury.
I said to my soul, be still, and let the dark come upon you
Which shall be the darkness of God. As, in a theatre,
The lights are extinguished, for the scene to be changed
With a hollow rumble of wings, with a movement of
    darkness on darkness….

— T. S. Eliot, Four Quartets

“I’m well past eighty now and fairly certain I won’t see ninety but I’d like more of a choice than Hell or Paradise when I leave. Now that we know the Bible was created by a vote of Emperor Constantine’s clergy, wouldn’t we all be better off if other options were offered? Or is the fear of what happens after death the glue that holds Religion together? I hope not because I believe better of God.

As a Deist, I have no fear or doubts of the way that life ends. I can bravely face the reality of ceasing to exist because the God of my heart comforts me by promising to provide a dark, starless night of nothingness when my visit is over.”

Paul Winchell (pdf) (See previous entry.)

Paul Winchell was born at the winter solstice — the longest night — December 21, 1922.

For another view of the longest night, see the five Log24 entries ending on the day after the longest night of 2003.   Summary of those entries:

After the Long Night

“My God, it’s full of stars!”

Friday, June 10, 2005

Friday June 10, 2005

Filed under: General — m759 @ 1:25 am

From Andrew Cusack’s weblog:

April 21, 2005

‘For Christ and Liberty’

Though [it is] a purely Protestant institution (literally), I am rather fond of Patrick Henry College. Indeed, it takes some courage in this day and age to only admit students willing to sign a ten-point profession of Protestant Reformed faith. They also happen to have an old-fashioned ball featuring ‘English country dancing, delicacies such as cream puffs and truffles and leisurely strolls about the scenic grounds of the historic Selma Plantation’.

Anyhow, the college, whose motto is ‘For Christ and Liberty’, was visited [by] Anthony Esolen, a contributing editor to Touchstone magazine, who makes these comments:

Today I received a request to write a short article on Pope Benedict XVI from a club called the De Tocqueville Society, in a small college in Northern Virginia.

That such a request came was no surprise. Its provenance is, and cheeringly so. For this De Tocqueville Society is made up of a group of students at the new Patrick Henry College, founded by Mike Farris, the President of the Home School Legal Defense Association. More than ninety percent of the college’s students were homeschooled. If there’s a Roman Catholic in the bunch, I’ve yet to hear about it, and I’ve been to that campus twice to give lectures. [Note: Esolen does not seem to be aware that PHC requires its students to be Protestant.]

More on that in a moment. I could spend all evening singing the praises of PHC (as the students fondly call it), but let me share one discovery I made that should gratify Touchstone readers. The first time I spoke there, two years ago, I was stunned to meet young men and women who—who were young men and women. I am not stretching the truth; go to Purcellville and see it for yourselves if you doubt it; I believe my wife took a couple of pictures, just to quiet the naysayers. The young men stand tall and look you in the eye—they don’t skulk, they don’t scowl and squirm uncomfortably in the back chairs as they listen to yet another analysis of Rebecca of Sunnybrook Farm, or one of the healthier poems of Sylvia Plath. They’re frank and generous and respectful, but they hold their own in an argument, and they are eager to engage you in those. They are comfortable in their skins; they wear their manhood easily. And the young ladies are beautiful. They don’t wither away in class, far from it; but they wear skirts, they are modest in their voices and their smiles, they clearly admire the young men and are esteemed in turn; they are like creatures from a faraway planet, one sweeter and saner than ours.

Two years ago I spoke to them about medieval Catholic drama. They are evangelicals, half of them majors in Government, the rest, majors in Liberal Arts. They kept me and my wife in that room for nearly three hours after the talk was over. “Doctor Esolen, what you say about the habits of everyday life—to what extent is it like what Jean Pierre de Coussade calls ‘the sacrament of the present moment’?” “Doctor Esolen, do you see any connections between the bodiliness of this drama and the theology of Aleksandr Schmemann?” “Doctor Esolen, you have spoken a great deal about our recovery of a sense of beauty, but don’t you think that artists can also use the grotesque as a means of bringing people to the truth?” “You’ve suggested to us that Christians need to reclaim the Renaissance as our heritage, yet we are told that that was an age of the worship of man for his own sake. To what extent is the art of that period ours to reclaim?” And on and on, until nearly midnight.

The questions were superior to any that I have ever heard from a gathering of professors—and alas, I’ve been to many of those. I mean not only superior in their enthusiasm and their insistence, but in their penetrating to the heart of the problem, their willingness to make connections apparently far afield but really quite apropos, and their sheer beauty—I can think of no better word for it.

A few weeks ago I was in town for another talk, on the resurrection of the body. The Holy Father had passed away. At supper, ten or fifteen of the students packed our table, to ask questions before the talk. They were reverent and extraordinarily well informed; most especially they were interested in the Theology of the Body. The questions on that topic continued after the lecture, and I had the same experience I’d had before, but now without the surprise.

And these are the young people who are devoting an entire issue of their journal to the thought of Cardinal Ratzinger, now the new head of the Roman Catholic Church. They are hungry to know about him; in the next week or two they will do what our slatternly tarts and knaves, I mean our journalists, have never done and will not trouble themselves to do, and that is to read what Benedict XVI has said, read it with due appreciation for their differences with him, and due deference to a holy and humble man called by Christ to be a light not only to Roman Catholics but to all the nations.

These students don’t know it, but in their devotion to their new school (they are themselves the guards, the groundskeepers, the janitors; they ‘own’ the school in a way that is hard to explain to outsiders), they live the community life extolled by Leo XIII in Rerum Novarum; in their steadfastness to the truth they are stalwart participators in the quest set out by John Paul II in Fides et Ratio; in their welcoming of me and, God bless them, of the good Benedict XVI, they live in the true spirit of Lumen Gentium, that greathearted document of the council so often invoked for the lame tolerance of every betrayal of the ancient faith. And for what it’s worth, they are readers of Touchstone Magazine.

Be silent, Greeleys and Dowds of the world. These young people have you whipped, if for no other reason than that they believe in the One who is Truth, and who sets us free. How can I praise these my young brothers and sisters any more highly? God bless them and Patrick Henry College. And the rest of us, let’s keep an eye on them. We’ll be seeing quite a harvest from that seedbed!

Many of the points Esolen commends are things I hope will be found in the colleges of my university when I get around to starting it. I particularly admire that Patrick Henry College’s young men and women are just that, according to Esolen. This is all too often hard to achieve in modern American higher education, where students are quite often just elderly adolescents. (Though I suspect this has more to do with parents and family than education).

The absurdist drinking age that the Federal government underhandedly coerced each state into passing hinders maturity as well. Indeed, when I start the first college or colleges of the university I’m planning, each will have a private college bar which will serve anyone over the age of 16 or so. (Probably at the barman or barmaid’s discretion). Civil disobedience is the only solution.

Though the graduates Patrick Henry College provides will be Protestant (at least at the time of their graduation), I have no doubt that they will act as leaven to raise up the social and political life of our United States. I’m not particularly fond that they proudly advertise their commendation as “One of America’s Top Ten Conservative Colleges”. I’m not of the view that colleges ought to be ‘conservative’ or ‘liberal’ per se. They ought to be seen more as communities of inquisitive, curious, intelligent people united in the quest for truth. Labels like ‘conservative’ and ‘liberal’ are far too narrow and allow the simple-minded to pidgeon-hole things which are too complex for such monikers.

But anyhow, cheers for Patrick Henry College.

Posted by Andrew Cusack at April 21, 2005 05:25 PM

Tuesday, April 5, 2005

Tuesday April 5, 2005

Filed under: General — Tags: — m759 @ 1:28 am
The Garden of Good and Evil
continued

"Just the facts, ma'am" — Joe Friday

See the entry Lucky (?) Numbers of Saturday, April 2, 2005, 11:07 AM ET, for links to a few facts about the historical role of the Number of the Beast in the Pennsylvania Lottery.

The Pennsylvania Lottery mid-day drawings take place at about 1:10 PM ET.

Pope John Paul II died on Saturday, April 2, at 2:37 PM ET. 

Thus the final PA drawing of his lifetime was on that Saturday afternoon.

The winning mid-day number that day was…

034.

In the I Ching, this is the number of
The Power of the Great.

Father Richard John Neuhaus yesterday argued that John Paul II should be called "the Great."

 

Neuhaus stated that "If any phrase encapsulates the message that John Paul declared to the world, it is probably 'prophetic humanism.'"  If there is such a thing, it is probably best exemplified by the I Ching.  For further details, see Hitler's Still Point.

Father Neuhaus's argument included the following mysterious phrase:

"God's unfolding covenant with Abraham, Isaac, Jacob and Jesus."

Compare the following two passages from Holy Scripture:

Genesis 22:13

"…behold behind him
a ram caught in a thicket by his horns"

I Ching Hexagram 34

"A goat butts against a hedge
And gets its horns entangled."

A topic for discussion by the foolish:

In the current historical situation,
who is Isaac and who is the goat?

From yet another Holy Scripture,
a topic for discussion by the wise: 

“Anyone can create a pretty little bamboo garden in the world. But I doubt that the gardener would succeed in incorporating the world in his bamboo grove.”

Monday, February 28, 2005

Monday February 28, 2005

Filed under: General,Geometry — Tags: — m759 @ 7:00 pm

The Meaning of 3:16

From The New Yorker, issue dated Feb. 28, 2005:

"Time Bandits," by Jim Holt, pages 80-85:

"Wittgenstein once averred that 'there can never be surprises in logic.'"

"Miss Gould," by David Remnick, pages 34-35:

"She was a fiend for problems of sequence and logic…. Her effect on a piece of writing could be like that of a master tailor on a suit; what had once seemed slovenly and overwrought was suddenly trig and handsome."

Suddenly:

See Donald E. Knuth's Diamond Signs, Knuth's 3:16 Bible Texts Illuminated, and the entry of 3:16 PM today.

Trig and handsome:

Remnick on Miss Gould again:

The image “http://www.log24.com/log/pix05/050228-MissGould.gif” cannot be displayed, because it contains errors.
Miss Gould,
photo from
Oberlin site

 

"She shaped the language of the magazine, always striving for a kind of Euclidean clarity– transparent, precise, muscular."

Figure from           
3/16 2004:           
Intersecting altitudes
Einstein on Time cover

Einstein on his
"holy geometry book" —

"Here were assertions, as for example the intersection of the three altitudes of a triangle in one point, which– though by no means evident– could nevertheless be proved with such certainty that any doubt appeared to be out of the question. This lucidity and certainty made an indescribable impression upon me."

The image “http://www.log24.com/log/pix05/050228-Graveyard.jpg” cannot be displayed, because it contains errors.

   "I need a photo opportunity,   
      I want a shot at redemption…."

Sunday, December 12, 2004

Sunday December 12, 2004

Filed under: General — Tags: — m759 @ 7:59 pm

Ideas, Stories, Values:
Literati in Deep Confusion

Joan Didion, The White Album:

“We tell ourselves stories in order to live….

We interpret what we see, select the most workable of multiple choices. We live entirely, especially if we are writers, by the imposition of a narrative line upon disparate images, by the ‘ideas‘ with which we have learned to freeze the shifting phantasmagoria which is our actual experience.

Or at least we do for a while. I am talking here about a time when I began to doubt the premises of all the stories I had ever told myself, a common condition but one I found troubling.”

Interview with Joseph Epstein:

“You can do in stories things that are above those in essays,” says Epstein.  “In essays and piecework, you are trying to make a point, whereas in stories you are not quite sure what the point is. T.S. Eliot once said of Henry James, ‘He had a mind so fine no idea could violate it,’ which, I think, is the ultimate compliment for an author. Stories are above ideas.”

Harvard President Lawrence H. Summers, Sept. 12, 2004:

“You are entering a remarkable community, the Harvard community. It is a community built on the idea of searching for truth… on the idea of respect for others….

… we practice the values we venerate. The values of seeking truth, the values of respecting others….”

Paul Redding on Hegel:

“… Hegel discusses ‘culture’ as the ‘world of self-alienated spirit.’ The idea seems to be that humans in society not only interact, but that they collectively create relatively enduring cultural products (stories, dramas, and so forth) within which they can recognise their own patterns of life reflected.”

The “phantasmagoria” of Didion seems related to the “phenomenology” of Hegel…

From Michael N. Forster,  Hegel’s Idea of a Phenomenology of Spirit:

“This whole system is conceived, on one level at least, as a defense or rational reworking of the Christian conception of God.  In particular, its three parts are an attempt to make sense of the Christian idea of a God who is three in one — the Logic depicting God as he is in himself, the Philosophy of Nature God the Son, and the Philosophy of Spirit God the Holy Spirit.”

and, indeed, to the phenomenology of narrative itself….

From Patrick Vert,
The Narrative of Acceleration:

“There are plenty of anecdotes to highlight the personal, phenomenological experience of railway passage…

… a unique study on phantasmagoria and the history of imagination. The word originates [in] light-projection, the so-called ghost-shows of the early 19th century….

… thought becomes a phantasmagorical process, a spectral, representative location for the personal imagination that had been marginalized by scientific rationalism….

Truly, ‘immediate experience is [or becomes] the phantasmagoria of the idler’ [Walter Benjamin, The Arcades Project.  Cambridge: Harvard University Press, 1999.  Page 801.]….

Thought as phantasm is a consequence of the Cartesian split, and… a further consequence to this is the broad take-over of perceptual faculty…. What better example than that of the American railway?  As a case-study it offers explanation to the ‘phantasmagoria of the idler’….

This phantasmagoria became more mediated over time…. Perception became increasingly visually oriented…. As this occurred, a narrative formed to encapsulate the phenomenology of it all….”

For such a narrative, see
the Log24.net entries of

November 5, 2002, 2:56 AM,
November 5, 2002, 6:29 AM,
January 3, 2003, 11:59 PM,
August 17, 2004, 7:29 PM,
August 18, 2004, 2:18 AM,
August 18, 2004, 3:00 AM, and
November 24, 2004, 10:00 AM.

Tuesday, December 7, 2004

Tuesday December 7, 2004

Filed under: General — m759 @ 1:00 pm

White Christmas

Starring W. V. Quine as
the Ghost of Christmas Past

“Birthday, death-day —
   what day is not both?”
   — John Updike

“We tell ourselves stories in order to live….

We interpret what we see, select the most workable of multiple choices. We live entirely, especially if we are writers, by the imposition of a narrative line upon disparate images, by the ‘ideas’ with which we have learned to freeze the shifting phantasmagoria which is our actual experience.

Or at least we do for a while. I am talking here about a time when I began to doubt the premises of all the stories I had ever told myself, a common condition but one I found troubling.”

Joan Didion, The White Album

The image “http://www.log24.com/log/pix04B/041207-Quine.gif” cannot be displayed, because it contains errors.

0! = 1

Quine’s Shema

Monday, November 8, 2004

Monday November 8, 2004

Filed under: General — m759 @ 7:11 am
Ship of State

“The president would say that
he relied on his ‘gut’ or his “instinct”
to guide the ship of state,
and then he ‘prayed over it.’ “

Ron Suskind in
The New York Times Magazine
,
Sunday, Oct. 17, 2004

The image “http://www.log24.com/log/pix04B/041108-Clark.jpg” cannot be displayed, because it contains errors.

Commander
Gard J. Clark

Clark is the commanding officer
of the USS Dallas (see previous entry).

He is a native of Jamestown, New York,
and a 1981 graduate of
Frewsburg Central School
and Jamestown Community College.
He is a 1985 graduate of the
United States Naval Academy.

The image “http://www.log24.com/log/pix04B/041108-Church.jpg” cannot be displayed, because it contains errors.

Kiantone Congregational Church

Monday, August 30, 2004

Monday August 30, 2004

Filed under: General,Geometry — Tags: — m759 @ 12:07 pm

Q.E.D.

A Log24 entry of Aug. 17, 2004, on the
three Semitic (or “Abrahamic”) religions:

“Looney.”

From Scotsman.com News
Mon., 30 Aug., 2004
11:43 AM (UK)

Ex-Priest Sentenced
for Disrupting Marathon

By Pat Hurst, PA News, in Athens

An ex-priest who lives in Britain was given a 12-month suspended sentence today for disrupting the men’s Olympic marathon in Athens.

Cornelius Horan, 57, a former Catholic priest living in London, appeared before a Greek judge this morning, local police said.

He was sentenced and released from custody but his whereabouts are unknown.

Irishman Horan, originally from Kerry, dashed from the sidelines to attack the marathon front-runner during yesterday’s event.

He told officers he staged the disruption to “prepare for the second coming”.

A police spokesman said: “He has got mental problems. He is not very well.

“His only explanation for his behaviour was that it was for the second coming.”

Horan also disrupted last year’s Silverstone Formula One Grand Prix by dashing across the track.

Leslie Broad, of Deunant Books, which publishes Mr Horan’s books on its website, said: “We publish two of his books on biblical prophecies and he seems to be fairly convinced that the second coming is due fairly shortly.

“After the incident at Silverstone, he did say he would never do anything like that again.

“He comes across as a shy, very intelligent and compassionate man but as is often the way with people who are very intelligent, it sometimes manifests itself in very strange ways.

“I think he found prison a fairly uplifting experience. He came out feeling that he had met a lot of people he wouldn’t normally have met, people who had committed serious crimes.”

Horan’s victim yesterday, Vanderlei De Lima, from Brazil, was at the head of the race just three miles from the finish.

Horan grabbed him and bundled him into spectators at the side of the road.

After a scuffle, the runner managed to get away, but he was clearly ruffled and finished third.

The Brazilian Olympic Committee put in an official complaint to the Greeks and at one point the final medal ceremony to be staged during the closing ceremony was in doubt.

Horan was arrested and taken to the General Police Division of Attica, where he stayed overnight.

Author biography
from
Deunant Books:

Father Cornelius (“Neil”) Horan


Horan

“Neil Horan was born in 1947, in Scartaglen, County Kerry, in the Republic of Ireland. After schooling in Ireland he was ordained a Catholic Priest in Saint Mary’s Cathedral, Killarney, in 1973.

He has served all his priestly life in the Southwark Diocese, covering London south of the River Thames and Kent, his first Parish being Bexley in Kent. His interest in Bible prophecy began when he attended a lecture in 1974, given by the Apostolic Fellowship of Christ, a group which had originated with the Christadelphians. Meaning ‘Brothers in Christ’, the Christadelphians were a small Church formed in 1861 by Dr John Thomas. Father Horan says he owes a debt of gratitude to the Christadelphian tradition for the understanding of the Bible which they gave him. He regards the Bible as the greatest Book in the world and has devoted his life to making it better known, especially the Prophecies.

He is not a prophet, considering himself to be merely an interpreter, has never received a Divine message or vision, and God has never spoken to him. He feels that he is right only in so far as he interprets the Book of Books correctly.

He is still a Catholic Priest, listed in the Catholic Directory under his full name of Cornelius Horan. Cornelius, a Centurian [sic] in the Roman army, was the first Christian convert; Father Horan is proud to bear that name and hopes to meet his famous namesake soon, when Jesus comes.”

A Glorious New World
by Father Neil Horan

“Are there passages in the Bible that foretell events that were, at the time it was written, far in the future? Father Neil Horan argues eloquently, knowledgeably and persuasively in this book, first published in 1985, that this is so. It is easy to scoff at predictions of events that were, according to the book, to have taken place a few years ago but which have not happened, but to do that would be wrong. With only the most subtle changes of emphasis in interpretation, it could just as easily be argued that events in the Middle East particularly have to a large degree fulfilled the prophecies for the years since 1985.

Then there are the events yet to come. They are, according to the author and his sources, to be the most significant in the history of mankind, and are going to happen soon. With a little thought, certain current-day world figures are a disconcertingly comfortable match for some of the characters who will act out the earth-shattering dramas to come. Even the most hardened cynic will get that prickly feeling down the back of his neck as he reads this book.

Taken together with Father Horan’s later work ‘Christ Will Soon Take Power From All Governments’ (also available from Deunant Books) the two books represent one of the most remarkable and significant bodies of work seen in this field for many, many years.”

Deunant Books on Theology

Ludwig Wittgenstein,
Philosophical Investigations:

373. Grammar tells what kind of object anything is. (Theology as grammar.)

Grammar and Geometry:
The Euclidean Proposition,
by J. B. Calvert:

For more on Wittgenstein, theology, and grammar, see the Log24

entries of Jan. 14, 2004.

Related material:

God Goes Hollywood,
by Jeremiah Cullinane

Tuesday, June 15, 2004

Tuesday June 15, 2004

Filed under: General — m759 @ 4:00 pm

Kierkegaard on death:

“I have thought too much about death not to know that he cannot speak earnestly about death who does not know how to employ (for awakening, please note) the subtlety and all the profound waggery which lies in death.  Death is not earnest in the same way the eternal is.  To the earnestness of death belongs precisely that capacity for awakening, that resonance of a profound mockery which, detached from the thought of the eternal, is an empty and often brash jest, but together with the thought of the eternal is just what it should be, utterly different from the insipid solemness which least of all captures and holds a thought with tension like that of death.”

Works of Love,
  
Harper Torchbooks, 1964, p. 324

For more on “the thought of the eternal,”  see the discussion of the number 373 in Directions Out and Outside the World, both of 4/26/04.

“… as an inscription over the graveyard gate one could place ‘No compulsion here’ or ‘With us there is no compulsion.’ “

Works of Love,
  
Harper Torchbooks, 1964, p. 324

“In the summer of 1943 I was eight, and my father and mother and small brother and I were in Peterson Field in Colorado Springs.  A hot wind blew through that summer…. There was not much to do…. There was an Officers’ Club, but no swimming pool; all the Officers’ Club had of interest was artificial blue rain behind the bar.  The rain interested me a good deal, but I could not spend the summer watching it, and so we went, my brother and I, to the movies.

We went three and four afternoons a week, sat on folding chairs in the darkened Quonset hut which served as a theater, and it was there, that summer of 1943 while the hot wind blew outside, that I first saw John Wayne. Saw the walk, heard the voice.  Heard him tell a girl in a picture called War of the Wildcats that he would build her a house, ‘at the bend in the river where the cottonwoods grow.’  As it happened I did not grow up to be the kind of woman who is the heroine in a Western, and although the men I have known have had many virtues and have taken me to live in many places I have come to love, they have never been John Wayne, and they have never taken me to that bend in the river where the cottonwoods grow.  Deep in that part of my heart where the artificial rain forever falls, that is still the line I wait to hear.

… When John Wayne spoke, there was no mistaking his intentions; he had a sexual authority so strong that even a child could perceive it.  And in a world we understood early to be characterized by venality and doubt and paralyzing ambiguities, he suggested another world, one which may or may not have existed ever but in any case existed no more: a place where a man could move free. could make his own code and live by it; a world in which, if a man did what he had to do, he could one day take the girl and go riding through the draw and find himself home free, not in a hospital with something wrong inside, not in a high bed with the flowers and the drugs and the forced smiles, but there at the bend in the bright river, the cottonwoods shimmering in the early morning sun.”

— Joan Didion,
   “John Wayne: A Love Song,” 1965

“He is home now. He is free.”

— Ron Reagan, Friday, June 11, 2004

“Beware, therefore, of the dead!  Beware of his kindness; beware of his definiteness, beware of his strength; beware of his pride!  But if you love him, then remember him lovingly, and learn from him, precisely as one who is dead, learn the kindness in thought, the definiteness in expression, the strength in unchangeableness, the pride in life which you would not be able to learn as well from any human being, even the most highly gifted.”

Works of Love,
   Harper Torchbooks, 1964, p. 328

Saturday, May 8, 2004

Saturday May 8, 2004

Filed under: General,Geometry — m759 @ 12:00 am

Royal Roads

“Here were assertions, as for example the intersection of the three altitudes of a triangle in one point, which — though by no means evident — could nevertheless be proved with such certainty that any doubt appeared to be out of the question. This lucidity and certainty made an indescribable impression upon me.”

— Albert Einstein
   on his “holy geometry book”
   (entry of 3/14/04)  

“We’ll try to understand
  how people decide what is true.”

— Nathaniel Miller
    on his geometry course

“People make up stories
 about what they experience.
 Stories that catch on are called ‘true.’ “

— Richard J. Trudeau
    on his geometry course

“There is no royal road to geometry.”

— Saying attributed to Euclid

“The royal road to knowledge,
  it is easy to express:
  to err, and err, and err again,
  but less, and less, and less.”

Nathaniel Miller‘s
    geometry course 

Prison-Abuse Panel is Third
in Bush’s War on Terrorism

— Headline from today’s
    New York Times 

“The royal road to ruin
  is easy to explore:
  err, and err, and err again,
  but more, and more, and more.”

— George W. Bush’s
    unholy geometry book

Sunday, May 2, 2004

Sunday May 2, 2004

Filed under: General — m759 @ 11:00 pm

The Script

Hollywood Writers, Producers
 Fail to Reach Agreement

Some scripts just write themselves.

Falluja Plan in Doubt
as U.S. Deals With
Furor Over Abuse


The Siege, 1998

Our Man in Baghdad
by Jon Lee Anderson
The New Yorker
,
issue of 2004-05-03,
posted 2004-04-26:

“My host was a Shiite cleric, Ayad Jamaluddin…. He lives on the river, in an imposing house supplied by the Coalition Provisional Authority, to which he has close ties….

Ayad Jamaluddin dismissed the idea of the Iraqis policing themselves any time in the near future. He believed that Iraq needed shock treatment, and that it would be best administered by the Americans.


The New Yorker,
online images

‘Iraqis are sick, you know, and what they need is a psychiatrist,’ he said. ‘For thirty-five years, Saddam Hussein didn’t allow Iraqis to think. The Iraqi people are missing something: they are missing a soul. They need a dictator—that is their problem. The Shia want their dictator; the Sunnis want theirs. Unfortunately for us, the Iraqi people’s only model of a leader is Saddam Hussein.’

I remarked that his hopes for a sweeping transformation of a national psyche had few historical precedents, at least under modern American stewardship. The postwar transformations of Germany and Japan were possible only because there was a wholesale capitulation by the regimes in both countries after devastating military assaults. In Japan’s case, this had come about after the atomic blasts at Hiroshima and Nagasaki and after Emperor Hirohito’s radio broadcast offering Japan’s unconditional surrender, and the admission that he was not a divine being. Jamaluddin smiled: ‘Then maybe what we need is another Hiroshima for Iraq. Maybe Fallujah will be our Hiroshima. Inshallah.’ ”

“Lovely.
Just lovely.” 

 

 


Devil’s
Advocate

See, too, The New Yorker‘s press release for

 May 1, 2004 — Law Day —

on the legal career of presidential candidate John Kerry:

“Kerry says his background as a prosecutor made criminal-defense work unappealing. ‘I took a court appointment once in a criminal case,’ Kerry says, ‘and I realized I just didn’t want the guy out on the street. I knew he was guilty. It takes a certain kind of makeup as a lawyer to dedicate yourself to having someone like that out on the street. I know our system says someone has to represent everyone, but I just couldn’t do it. I went to the court and asked them to take me off the case.’ “

Recall the conclusion of Devil’s Advocate:

“Vanity is definitely my favorite sin.”

Thursday, April 8, 2004

Thursday April 8, 2004

Filed under: General — m759 @ 12:00 am

Triple Crown

“The tug of an art that unapologetically sees itself as on a par with science and religion is not to be underestimated…. Philosophical ambition and formal modesty still constitute Minimalism’s bottom line.”

Michael Kimmelman, April 2, 2004 

________________

From Hans Reichenbach‘s

The Rise of Scientific Philosophy:

Ch. 18 – The Old and the New Philosophy

“The speculative philosophers allotted to art a dignified position by putting art on a par with science and morality: truth, beauty and the good were for them the triple crown of human searching and longing.”

Ch. 15 – Interlude: Hamlet’s Soliloquy

“I have good evidence.  The ghost was very conclusive in his arguments.  But he is only a ghost.  Does he exist?  I could not very well ask him.  Maybe I dreamed him.  But there is other evidence….

It is really a good idea: that show I shall put on.  It will be a crucial experiment.  If they murdered him they will be unable to hide their emotions.  That is good psychology.  If the test is positive I shall know the whole story for certain.  See what I mean?  There are more things in heaven and earth than are dreamt of in your philosophy, my dear logician.
    I shall know it for certain?  I see your ironical smile.  There is no certainty….
   There I am, the eternal Hamlet.  What does it help me to ask the logician….?  His advice confirms my doubt rather than giving me the courage I need for my action.  One has to have more courage than Hamlet to be always guided by logic.”

________________

On this Holy Thursday, the day of Christ’s Last Supper, let us reflect on Quine’s very pertinent question in Quiddities (under “Communication”):

“What transubstantiation?”

“It is easiest to tell what transubstantiation is by saying this: little children should be taught about it as early as possible. Not of course using the word…because it is not a little child’s word. But the thing can be taught… by whispering…”Look! Look what the priest is doing…He’s saying Jesus’ words that change the bread into Jesus’ body. Now he’s lifting it up. Look!”

From “On Transubstantiation” by Gertrude Elizabeth Margaret Anscombe, Collected Philosophical Papers, V.III: Ethics, Religion, and Politics, 1981, Univ. of Minnesota Press, as quoted in the weblog of William Luse, Sept, 28, 2003

A perhaps more credible instance of transubstantiation may be found in this account of Anscombe on the Feast of Corpus Christi:

“In her first year at Oxford, she converted to Catholicism. In 1938, after mass at Blackfriars on the Feast of Corpus Christi, she met Peter Geach, a young man three years her senior who was also a recent convert to Catholicism. Like her, Geach was destined to achieve eminence in philosophy, but philosophy played no role in bringing about the romance that blossomed. Smitten by Miss Anscombe’s beauty and voice, Geach immediately inquired of mutual friends whether she was ‘reliably Catholic.’ Upon learning that she was, he pursued her and, swiftly, their hearts were entangled.”

— John M. Dolan, Living the Truth

Christ plays in ten thousand places,
Lovely in limbs, and
    lovely in eyes not his
To the Father through
    the features of men’s faces.

— Gerard Manley Hopkins

Concluding reflections for Holy Thursday:

Truth, Beauty, and The Good

Art is magic delivered from
the lie of being truth.
 — Theodor Adorno, Minima moralia,
London, New Left Books, 1974, p. 222
(First published in German in 1951.)

The director, Carol Reed, makes…
 impeccable use of the beauty of black….
V. B. Daniel on The Third Man 

I see your ironical smile.
Hans Reichenbach (see above)

Adorno, The Third Man, and Reichenbach
are illustrated below (l. to r.) above the names of cities with which they are associated. 

 

In keeping with our transubstantiation theme, these three cities may be regarded as illustrating the remarks of Jimmy Buffett

on culinary theology.

Thursday, April 1, 2004

Thursday April 1, 2004

Filed under: General — Tags: — m759 @ 9:17 pm

Loretta’s Rainbow

AMC April 1, 2004:

8:00 PM Coal Miner’s Daughter
10:30 PM Love with the Proper Stranger

From an interview
with Iris Dement

(b. 5 January, 1961, Paragould, Arkansas)

Your songs are filled with hints of a very complicated, difficult life.

ID:  Well, I turned 36 this year, and I feel like I’ve been through some difficult things in my life. By far the most difficult thing was leaving the church. My whole life revolved around the church, all through growing up and even as an adult. I didn’t leave it out of rebelliousness, because I loved the feeling of being in the church, with the music and the preaching. But there was an awakening one day, a realization that I didn’t believe in a large part of this stuff, and I could either go on and pretend to be a part of the group or acknowledge that it was not me or something I could live with.

What’s your first musical memory?

ID:  The first music that I consciously remember, no doubt about it, was a Loretta Lynn record. I was very young, maybe four, and it was the middle of the day when my mom and dad brought it home from the store. It was a Loretta Lynn gospel record and on the cover she was wearing a lacy yellow dress and she had pretty red hair. I immediately liked it before even hearing it, she was so pretty.

My parents’s first record player was one of those suitcase types with the lid that flipped up and I listened to it over and over again and probably had that whole album memorized in a week. We didn’t have a lot of records so I played the same ones over and over, and I think there’s something really neat about not having too much coming at you so you really absorb just one or two things. Because something really gets into your bones when you don’t have a lot of choices. You get to know things inside out.

So now with all the choices out there, are you listening to more stuff?

ID:  No, I don’t really listen to a whole lot of music. I never did. I had a few things I really liked like the Loretta Lynn record that I listened to constantly. I’m kind of embarrassed to say this, but I still listen to those same records. When I’m out on the road, I take them with me. I put on my Merle, my Johnny, my Loretta.

eBay item 4004170928:

Loretta Lynn, Hymns, 1965

And the rain’s comrade,
the bow of Iris
,
wove her many colours
into a rounded track.”
Dionysiaca 2.200

Tuesday, March 23, 2004

Tuesday March 23, 2004

Filed under: General — m759 @ 2:00 am

President Queeg

“Over the weekend, Richard A. Clarke, Bush’s former counterterrorism coordinator, said Bush focused too little attention on al Qaeda before the Sept. 11, 2001, attacks and too much on Iraq afterward.

Clarke detailed his allegations in a book released yesterday. In it, he echoes criticism of Bush’s judgment and fixation on Iraq that were leveled by former Treasury secretary Paul H. O’Neill in his book, which was published in January.”

Jim VandeHei, Washington Post,
    March 23, 2004

“Pity poor George Bush. For some reason, he has been beset by delusional aides who, once they leave the White House, write books containing lies and exaggerations and — this is the lowest blow of all — do not take into account the president’s genius and all-around wisdom.”

— “Bush, Clarke and A Shred of Doubt,”
    Richard Cohen, Washington Post,
    March 23, 2004

 

“He was no different than any officer in the wardroom — they were all disloyal. I tried to run the ship properly, by the book, but they fought me at every turn.

… Naturally, I can only cover these things from memory…  If I’ve left anything out, why, just ask me specific questions and I’ll be glad to answer them… one-by-one…”

The Caine Mutiny

(With apologies to Paul Krugman… See Krugman’s column on President Queeg from March 14 last year — abstract or full text.)

Sunday, March 14, 2004

Sunday March 14, 2004

Filed under: General,Geometry — m759 @ 3:28 pm

Clarity and Certainty

“At the age of 12 I experienced a second wonder of a totally different nature: in a little book* dealing with Euclidean plane geometry, which came into my hands at the beginning of a schoolyear. Here were assertions, as for example the intersection of the three altitudes of a triangle in one point, which — though by no means evident — could nevertheless be proved with such certainty that any doubt appeared to be out of the question. This lucidity and certainty [Klarheit und Sicherheit] made an indescribable impression upon me….  For example I remember that an uncle told me the Pythagorean theorem before the holy geometry booklet* had come into my hands. After much effort I succeeded in ‘proving’ this theorem on the basis of the similarity of triangles … for anyone who experiences [these feelings] for the first time, it is marvellous enough that man is capable at all to reach such a degree of certainty and purity [Sicherheit und Reinheit] in pure thinking as the Greeks showed us for the first time to be possible in geometry.”

— from “Autobiographical Notes” in Albert Einstein: Philosopher-Scientist, edited by Paul Arthur Schilpp

“Although our intellect always longs for clarity and certainty, our nature often finds uncertainty fascinating.”

— Carl von Clausewitz at Quotes by Clausewitz

For clarity and certainty, consult All About Altitudes (and be sure to click the “pop it up” button).

For murkiness and uncertainty, consult The Fog of War.

Happy birthday, Albert.

* Einstein’s “holy geometry booklet” was, according to Banesh Hoffman, Lehrbuch der Geometrie zum Gebrauch an höheren Lehranstalten, by Eduard Heis (Catholic astronomer and textbook writer) and Thomas Joseph Eschweiler.

Thursday, December 11, 2003

Thursday December 11, 2003

Filed under: General — m759 @ 1:15 pm

Rough Beast

The title is a reference to the horse in yesterday’s entry of 6:13 PM.

The time of that entry, 6:13, is a deliberate reference* to the date of a June 13, 2003, entry, for the birthday of W. B. Yeats.

That entry contains the following —

Behold a Pale Horse:
A link in memory of Gregory Peck,

which leads to…

“It was not a mere soldier’s courage, like gripping a weapon and charging the foe: it was like charging Death itself on his pale horse.

Even at his best, his island parrot, the better loved of the two, spoke no word he was not taught to speak by his master. How then has it come about that this man of his, who is a kind of parrot and not much loved, writes as well as or better than his master? For he wields an able pen, this man of his, no doubt of that. Like charging Death himself on his pale horse. His own skill, learned in the counting house, was in making tallies and accounts, not in turning phrases. Death himself on his pale horse: those are words he would not think of. Only when he yields himself up to this man of his do such words come.”

— J. M. Coetzee, Nobel Prize Lecture
   of Dec. 10, 2003

* As is the time of this entry.

Tuesday, September 23, 2003

Tuesday September 23, 2003

Filed under: General — m759 @ 1:15 pm

Intelligence Test

At left:
Reuters
Offers
IQ Test

Today’s British Intelligence Award
goes to Reuters news agency:

Key Phrase Was Dropped
from UK Iraq Dossier

Tue September 23, 2003 12:33 PM ET
By Katherine Baldwin and Janet McBride

LONDON (Reuters) – The British intelligence chief responsible for a pre-war dossier on Iraq’s weapons dropped a key sentence from it days before publication after prompting from Downing Street, an inquiry heard Tuesday.

He did it at the suggestion of Jonathan Powell, chief of staff to Prime Minister Tony Blair, the inquiry heard.

The offending sentence stated that former Iraqi President Saddam Hussein was prepared to use chemical and biological weapons “if he believes his regime is under threat.”

Powell argued that phrase suggested Iraq was only a threat if attacked.

The revelation that Powell ordered the sentence to be omitted raises fresh doubts over the intervention of Blair’s office in the compilation of the September dossier.

Today’s British Stupidity Award goes,
of course, to Jonathan Powell.

Thursday, September 4, 2003

Thursday September 4, 2003

Filed under: General — m759 @ 2:42 am

Monolith

“Music can name the unnameable
and communicate the unknowable.”

— Quotation attributed to Leonard Bernstein

“Finally we get to Kubrick’s ultimate trick….  His secret is in plain sight…. The film is the monolith. In a secret that seems to never have been seen by anyone: the monolith in the film has the same exact dimensions as the movie screen on which 2001 was projected.”

—  Alchemical Kubrick 2001, by Jay Weidner 

My entry of Saturday, August 30,
included the following illustration:

My entry of Monday, September 1,
concluded with the black monolith.

“There is little doubt that the black monolith
in 2001 is the Philosopher’s Stone.”

—  Alchemical Kubrick 2001, by Jay Weidner 

 The philosopher Donald Davidson
died on Saturday, August 30.

The New York Times says that as an undergraduate, Davidson “persuaded Harvard to let him put on ‘The Birds’ by Aristophanes and played the lead, Peisthetairos, which meant memorizing 700 lines of Greek. His friend and classmate Leonard Bernstein, with whom he played four-handed piano, wrote an original score for the production.”

Perhaps they are still making music together.

Monday, August 4, 2003

Monday August 4, 2003

Filed under: General — m759 @ 2:00 am

A Queer Religion

August 4 headline:

Gay bishop on way to win

This suggests the following theological meditation by a gay Christian:

“I can’t resist but end by pointing out the irony of the doctrine of the Trinity as seen by gay eyes. Please don’t take what I say next too seriously. I don’t believe that gender is very important or that it is any more present in God than is ‘green-ness,’ however, I simply can’t resist.

The Trinity seems to be founded on the ecstatic love union of two male persons; the Father and the Son. If one takes this seriously it is incestuous pedophilia. There is no doubt that this union is generative (and so in the origin of the meaning ‘sexual’) in character, because from it bursts forth a third person: Holy Spirit; neuter in Greek, feminine in Hebrew! Whereas Islam detests the Catholic idea that the Blessed Virgin was ‘impregnated’ by God, as demeaning to the transcendence of God, the internal incestuous homosexuality that the doctrine of the Trinity amounts to should really offend more!

Any orthodox  account of the inner life of God is at best highly uncongenial to the paradigm of the heterosexual nuclear family. Amusingly, the contemporary Magisterium fails to notice this and even attempts to use the doctrine of the procession of the Spirit from the Father and the Son to bolster its conventional championing of ‘male-female complementarity’ and the centrality of procreation to all authentically ‘self-giving’ relationships. Absurdities will never cease!”

Amen to the conclusion, at least.

The author of this meditation, “Pharsea,” is a “traditional Catholic” and advocate of the Latin Mass — just like Mel Gibson.  One wonders how Gibson might react to Pharsea’s theology.

As for me… I always thought there was something queer about that religion.

Sunday, July 27, 2003

Sunday July 27, 2003

Filed under: General — m759 @ 11:59 pm

Catholic Tastes

In memory of New York Times music critic Harold C. Schonberg, who died Saturday, July 26, 2003:

Nous Voici Dans La Ville – A Christmas song from 15th century France (midi by John Philip Dimick).

In memory of my own youth:

Formaggio
Address Paseo del Conquistador # 144 Food Type Italian Dress Casual Tel 777-313-0584
Comment Chef Lorenzo Villagra is formally trained in Italian Cuisine. Great food and views of the valley of Cuernavaca.

In memory of love:

Volverán del amor en tus oídos

Las palabras ardientes a sonor;

Tu corazón de su profundo sueño

Tal vez despertará;

Pero mudo y absorto y de rodillas,

Como se adora a Dios ante su altar,

Como yo te he querido…desengáñate,

¡Así no te querrán!

— from Rima LIII
    by Gustavo Adolfo Bécquer
   (1836-1870)

Translation by Young Allison, 1924:

Burning words of love will come
Again full oft within thine ears to sound;
Perchance thy heart will even be aroused
From its sleep profound;

But mute and prostrate and absorbed,
As God is worshipped in His holy fane,
As I have loved thee…undeceive thyself:
Thou wilt not be thus loved again!

The Robert Lowell version of
the complete poem by Bécquer:

Will Not Come Back
(Volverán)

Dark swallows will doubtless come back killing
the injudicious nightflies with a clack of the beak:
but these that stopped full flight to see your beauty
and my good fortune… as if they knew our names–
they’ll not come back. The thick lemony honeysuckle,
climbing from the earthroot to your window,
will open more beautiful blossoms to the evening;
but these… like dewdrops, trembling, shining, falling,
the tears of day–they’ll not come back…
Some other love will sound his fireword for you
and wake your heart, perhaps, from its cool sleep;
but silent, absorbed, and on his knees,
as men adore God at the altar, as I love you–
don’t blind yourself, you’ll not be loved like that.

“…my despair with words as instruments of communion is often near total.”

— Charles Small, Harvard ’64 25th Anniversary Report, 1989 (See 11/21/02).

Perhaps dinner and a movie?
The dinner — 
at Formaggio in Cuernavaca.
The movie —
Michael.

Lucero
(Bright Star),
portrayed by
Megan Follows

 

Hoc est enim
corpus meum…

See also
A Mass for Lucero.

See, too, my entry for the feast day of
Saint Gustavo Adolfo Bécquer,
which happens to be
December 22.

Monday, July 21, 2003

Monday July 21, 2003

Filed under: General — m759 @ 2:40 pm

For Hemingway’s Birthday:
The Hong Kong
Candidate

 

“Blair, on his first trip to China in five years, expressed his belief that the strengthened relationship between Britain and China would, beyond any doubt, continue to develop…”
People’s Daily, Beijing, July 21, 2003

“Now he’s poppin’ the piano just to raise the price of a ticket to the land of the free….”
— “Hong Kong Blues,”  sung by Hoagy Carmichael in “To Have and Have Not,” a film based on a Hemingway novel.

“The U.S. government repatriated on Monday 15 migrants from a Cuban government vessel that was taken illegally from Cuba…. The island’s communist government said the ship was hijacked and demanded the return of the occupants and the boat.”
Reuters, Miami, July 21, 2003, 1:08 PM ET

As a review at Amazon.com notes,

“The movie concerns a brave fishing-boat captain in World War II-era Martinique who aids the French Resistance, battles the Nazis, and gets the girl in the end. The novel concerns a broke fishing-boat captain who agrees to carry contraband between Cuba and Florida in order to feed his wife and daughters. Of the two, the novel is by far the darker, more complex work.”

Monday, May 26, 2003

Monday May 26, 2003

Filed under: General — m759 @ 3:14 am

Mental Health Month, Day 26:

Many Dimensions

John Baez on why bosonic string theory is said to require 26 dimensions —

“By now, if you’re a rigorous sort of pure mathematician, you must be suffering from grave doubts about the sanity of this whole procedure.”

Doubts?  Let us just say I prefer

G-string theory:

“The G-string is unique in that it combines the properties of all known string theories. It has 26-dimensional modes propagating to the left, 10-dimensional modes propagating to the right, and 2-dimensional modes just sitting around wondering what the hell is going on.”

Friday, May 2, 2003

Friday May 2, 2003

Filed under: General — m759 @ 4:15 pm

ART WARS:

The following flashback to March 2002 seems a suitable entry for May, which is Mental Health Month.

Zen and Language Games

by Steven H. Cullinane
on March First, 2002

Two Experts Speak —

A Jew on Language Games

From On Certainty, by Ludwig Wittgenstein (Oxford, Basil Blackwell, 1969):

#508: What can I rely on?
#509: I really want to say that a language game is only possible if one trusts something. (I did not say “can trust something”).
— Quoted by Hilary Putnam in Renewing Philosophy, Chapter 8 (Harvard University Press, 1992)

An Arab on Deconstruction

From “Deconstructing Postmodernism,” by Ziauddin Sardar, at the website “The Free Arab Voice”:

Doubt, the perpetual and perennial condition of postmodernism, is best described by the motto of the cult television series The X-files: ‘Trust no One’….

Deconstruction – the methodology of discursive analysis – is the norm of postmodernism. Everything has to be deconstructed. But once deconstruction has reached its natural conclusion, we are left with a grand void: there is nothing, but nothing, that can remotely provide us with meaning, with a sense of direction, with a scale to distinguish good from evil.

Those who, having reviewed a thousand years of lies by Jews, Arabs, and Christians, are sick of language games, and who are also offended by the recent skillful deconstruction of the World Trade Center, may find some religious solace in the philosophy of Zen.

Though truth may be very hard to find in the pages of most books, the page numbers are generally reliable. This leads to the following Zen meditations.

From a review of the film “The Terminator”:

Some like to see Sarah as a sort of Mother of God, and her son as the saviour in a holy context. John Connor, J.C. , but these initials are also those of the director, so make up your own mind.
— http://www.geocities.com/
   hackettweb2/terminator.html

From a journal note on religion, science, and the meaning of life written in 1998 on the day after Sinatra died and the Pennsylvania lottery number came up “256”:

“What is 256 about?”
— S. H. Cullinane

From Michael Crichton’s Rising Sun (Ballantine paperback, 1993) —
John Connor (aka J. C.) offers the following metaphysical comment on the page number that appears above his words (256):

“It seems to be.”
“Is your investigation finished?”
“For all practical purposes, yes,” Connor said.

Connor is correct. The number 256 does indeed seem to be, and indeed it seemed to be again only yesterday evening, when the Pennsylvania lottery again made a metaphysical statement.

Our Zen meditation on the trustworthiness of page numbers concludes with another passage from Rising Sun, this time on page 373:

Connor sighed.
“The clock isn’t moving.”

Here J. C. offers another trenchant comment on his current page number.

The metaphysical significance of 373, “the eternal in the temporal,” is also discussed in the Buddhist classic A Flag for Sunrise, by Robert Stone (Knopf hardcover, 1981)… on, of course, page 373.

Friday, April 18, 2003

Friday April 18, 2003

Filed under: General,Geometry — Tags: — m759 @ 1:17 pm

To the Society of Jesus (also known as the Jesuits):

Have a Good Friday, Traitors

Prompted by Pilate’s question “What is truth?” and by my March 24 attack on Noam Chomsky, I decided this afternoon to further investigate what various people have written about Chomsky’s posing of what he calls “Plato’s problem” and “Orwell’s problem.”  The former concerns linguistics, the latter, politics.  As my March 24 entry indicates, I have nothing but contempt for both Chomsky’s linguistics and Chomsky’s politics.  What I discovered this afternoon is that Georgetown University, a Jesuit institution, in 2001 appointed a Chomskyite, David W. Lightfoot, as Dean of the Graduate School of Arts and Sciences.

“Why do we know so much more than we have evidence for in certain areas, and so much less in others? In tackling these questions — Plato’s and Orwell’s problem — Chomsky again demonstrates his unequalled capacity to integrate vast amounts of material.” — David W. Lightfoot, review of Chomsky’s Knowledge of Language

What, indeed, is truth?  I doubt that the best answer can be learned from either the Communist sympathizers of MIT or the “Red Mass” leftists of Georgetown.  For a better starting point than either of these institutions, see my note of April 6, 2001, Wag the Dogma.

See, too, In Principio Erat Verbum, which notes that “numbers go to heaven who know no more of God on earth than, as it were, of sun in forest gloom.”

Since today is the anniversary of the death of MIT mathematics professor Gian-Carlo Rota, an example of “sun in forest gloom” seems the best answer to Pilate’s question on this holy day.  See

The Shining of May 29.

“Examples are the stained glass windows of knowledge.” — Vladimir Nabokov

AGEOMETRETOS MEDEIS EISITO

Motto of Plato’s Academy


The Exorcist, 1973

Tuesday, February 11, 2003

Tuesday February 11, 2003

Filed under: General — Tags: , , — m759 @ 5:10 pm

St. John von Neumann's Song

The mathematician John von Neumann, a heavy drinker and party animal, advocated a nuclear first strike on Moscow.*  Confined to a wheelchair before his death, he was, some say, the inspiration for Kubrick's Dr. Strangelove.  He was a Jew converted to Catholicism.  His saint's day was February 8.  Here is an excerpt from a book titled Abstract Harmonic Analysis**, just one of the fields illuminated by von Neumann's brilliance:

"…von Neumann showed that an intrinsic definition can be given for the mean M(f) of an almost periodic function…. Von Neumann proved the existence and properties of M(f) by completely elementary methods…."

Should W. B. Yeats wander into the Catholic Anticommunists' section of Paradise, he might encounter, as in "Sailing to Byzantium," an unexpected set of "singing-masters" there: the Platonic archetypes of the Hollywood Argyles.

The Argyles' attire is in keeping with Yeats's desire for gold in his "artifice of eternity"… In this case, gold lamé, but hey, it's Hollywood.  The Argyles' lyrics will no doubt be somewhat more explicit in heaven.  For instance, in "Alley Oop," the line

"He's a mean motor scooter and a bad go-getter"

will in its purer heavenly version be rendered

"He's a mean M(f)er and…"

in keeping with von Neumann's artifice of eternity described above.

This theological meditation was suggested by previous entries on Yeats, music and Catholicism (see Feb. 8, von Neumann's saint's day) and by the following recent weblog entries of a Harvard senior majoring in mathematics:

"I changed my profile picture to Oedipus last night because I felt cursed by fate…."

"It's not rational for me to believe that I am cursed, that the gods are set against me.  Because I don't even believe in any gods!"

The spiritual benefits of a Harvard education are summarized by this student's new profile picture:

The image “http://log24.com/log/pix03/030211-oedipus.gif” cannot be displayed, because it contains errors.

M(f)

*Source: Von Neumann and the Development of Game Theory

**by Harvard professor Lynn H. Loomis, Van Nostrand, 1953, p. 169.

Tuesday, January 28, 2003

Tuesday January 28, 2003

Filed under: General — m759 @ 7:11 pm

State of the Communion

Relevant readings:

  • Definition of the communion of saints in the Catholic Encylopedia

    “In that communion there is no loss of individuality, yet such an interdependence that the saints are ‘members one of another’ (Rom., xii, 5)….”

  • Ephesians 4:16
  • “…the whole body fitly joined together and compacted by that which every joint supplieth….”

  • A Game Designer’s Holy Grail —

    “Herman Melville described the exact process beautifully in his novel, Mardi:

    ‘In me, many worthies recline, and converse. I list to St. Paul who argues the doubts of Montaigne…'”

  • Invitation to the HipBone Games —

    “…man is seen as he is sub specie aeternitatis, an ‘immortal diamond.'”

  • Your Hip Bone Connected —

    “Now hear the word of the Lord” 

Tuesday, December 31, 2002

Tuesday December 31, 2002

Filed under: General — m759 @ 3:17 pm

To Sir Anthony Hopkins
on His Birthday

From “The Wardrobe Wars,” by Paul Willis:

“I was back at Wheaton for a conference just a couple of years ago. During a period of announcements, a curator from the Wade Collection invited the conference participants to visit the collection and see the many books and papers that had belonged to Lewis and his associates. At the end of her announcement, she told us, ‘We also have the wardrobe that served as the original for the one in the Narnia Chronicles.’

There it was, that definite article again. In a remarkable display of maturity I put up my hand and said, ‘Excuse me, but the wardrobe is at Westmont College in Santa Barbara.’

The woman gave me a long, hard look of the ‘we are not amused’ variety. That was all. I wasn’t able to find her after the session was over to clear things up.

Not that we could have, really. Of course, if pressed, I suspect we would both admit the wardrobe we are really concerned with exists only within the covers of a book, and that not even this wardrobe is so important as the story of which it is a part, and that the story is not so important as the sense of infinite longing that it stirs within our souls, and that this longing is not so important as the One—more real than Aslan himself—to whom it directs us. But that would be asking too much of either the curator or myself. To worship at our respective wardrobes, whether they be in Jerusalem or Samaria, is indeed to live in the shadowlands. And that is where we like it.

Lewis himself would doubtless say that the physical wardrobes in our possession are but copies of a faint copy. He might even claim, to our horror, that no single wardrobe inspired the one found in his book. Then he might add under his breath, like the professor in The Last Battle who has passed on to the next life, ‘It’s all in Plato, all in Plato: bless me, what do they teach them at these schools!'”

Thursday, December 5, 2002

Thursday December 5, 2002

Filed under: General — m759 @ 12:00 pm

Key

Today is Joan Didion’s birthday.  It is also the date that the first Phi Beta Kappa chapter was formed, at the College of William and Mary.

A reading for today, from a web page called Respect:

“In her book Slouching Toward Bethlehem Didion writes about being a student in college. She says she expected to be voted into Phi Beta Kappa but discovered she didn’t have the grades for it. She says: ‘I had somehow thought myself [as being] exempt from the cause-effect relationships which hampered others.’ But, Didion continues:

Although even the humorless nineteen-year-old that I was must have recognized that the situation lacked tragic stature, the day that I did not make Phi Beta Kappa nonetheless marked the end of something, and innocence may well be the word for it. I lost the conviction that lights would always turn green for me, the pleasant certainty that those rather passive virtues which had won me approval as a child automatically guaranteed me not only Phi Beta Kappa keys but happiness, honor, and the love of a good man. I lost a certain touching faith in the totem power of good manners, clean hair, and proven competence on the Stanford-Binet scale. To such doubtful amulets had my self-respect been pinned, and I faced myself that day with the nonplused apprehension of someone who has come across a vampire and has no crucifix in hand.

What Joan Didion discovered in the wake of this incident was that self-respect, although it was of importance, had to come from something inside her, rather than from the approval of others. She says she learned that self-respect has to do with ‘a separate peace, a private reconciliation,’ and at the heart of it is a willingness to accept responsibility for one’s own life, whatever its rewards or lack of them. Didion says:

… people with self-respect have the courage of their mistakes. They know the price of things…. People with self-respect exhibit a certain toughness, a kind of moral nerve; they display what was once called character, a quality which, although approved in the abstract, sometimes loses ground to other, more instantly negotiable virtues.

— Comments by David Sammons

For more of Didion’s essay, click here.

Thursday, September 5, 2002

Thursday September 5, 2002

Filed under: General — m759 @ 3:06 pm

Trifecta

Born today: Arthur Koestler,
former Communist and writer on parapsychology

From To Ride Pegasus, by Anne McCaffrey, 1973: 

“Mary-Molly luv, it’s going to be accomplished in steps, this establishment of the Talented in the scheme of things. Not society, mind you, for we’re the original nonconformists…. and Society will never permit us to integrate.  That’s okay!”  He consigned Society to insignificance with a flick of his fingers.  “The Talented form their own society and that’s as it should be: birds of a feather.  No, not birds.  Winged horses!  Ha!  Yes, indeed. Pegasus… the poetic winged horse of flights of fancy.  A bloody good symbol for us.  You’d see a lot from the back of a winged horse…”

“Yes, an airplane has blind spots.  Where would you put a saddle?”  Molly had her practical side.

He laughed and hugged her.  Henry’s frequent demonstrations of affection were a source of great delight to Molly, whose own strength was in tactile contacts. 

“Don’t know.  Lord, how would you bridle a winged horse?”

“With the heart?”

“Indubitably!”  The notion pleased him.  “Yes, with the heart and the head because Pegasus is too strong a steed to control or subdue by any ordinary method.” 

Born today:  Darryl F. Zanuck,
producer of “Viva Zapata!”

Director Eliza Kazan consults with scriptwriter John Steinbeck about the production of “Viva Zapata!” in Cuernavaca, Mexico:

When John woke, I asked him, “Isn’t the Syndicate of Film Technicians and Workers here Communist-dominated?”

Elia Kazan on Darryl Zanuck’s insistence that Zapata’s white horse be emphasized:

Darryl made only one suggestion that he was insistent on. He’d stolen it, no doubt, from an old Warner western, but he offered it as if it were pristine stuff. “Zapata must have a white horse,” he said, “and after they shoot him, we should show the horse running free in the mountains — get the idea? A great fade-out.” We got the idea, all right. Darryl was innocent about the symbol in his suggestion, but so enthusiastic about the emotion of it that he practically foamed at the mouth. John’s face was without expression. Actually, while I thought it was corny, the idea worked out well in the end. 

Born today: comedian Bob Newhart

 

If Kazan hadn’t directed “Viva Zapata!”…

Zanuck would have ended up shouting,

“I said a WHITE horse!”

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