Log24

Friday, August 2, 2019

The 7/11 Meditation

Filed under: General — Tags: — m759 @ 10:04 am

Tuesday, June 18, 2019

The 7/11 Manifesto

Filed under: General — Tags: — m759 @ 10:07 pm

See 7/11, 2006.

Related material — Dabblers in the Collective Unconscious.

Friday, January 12, 2024

Thursday, January 11, 2024

Thursday, July 13, 2023

Blank Tablets

Filed under: General — Tags: — m759 @ 9:57 am

Mark Oppenheimer on John McPhee

Tuesday, July 11, 2023

For St. Benedict’s Day

Filed under: General — m759 @ 6:46 am

The 7/11 Meditation.

Wednesday, July 13, 2022

Wilderness Tale

Filed under: General — Tags: — m759 @ 3:44 pm

"He feels responsible for her, and he can’t shake
the sense that she’s in danger and is out there in
the wilderness of the world."

— Rachel Kushner in New Yorker  interview 
dated July 4, 2022, discussing a short story she wrote.

Some background for Kushner's phrase —

Monday, July 11, 2022

Forevermore

Filed under: General — m759 @ 1:46 pm

From New York Times  obituary today —

By Robert D. McFadden

Francis X. Clines, a reporter, columnist and foreign correspondent
for The New York Times whose commentaries on the news and
lyrical profiles of ordinary New Yorkers were widely admired as a
stylish, literary form of journalism, died on Sunday at his home in
Manhattan. He was 84.

. . . . 

As a national correspondent … he tracked political campaigns
and the Washington scene, taking occasional trips through the
hills and hollows of Appalachia to write of a largely hidden
Other America. 

. . . .

From an Editorial Notebook piece by Clines in 2010 —

The sound of that student’s holler tale remains — how to say? — precious or cool or awesome, worthy of preserving. A good phrase was offered by Kathy Williams, the teacher who invited Dr. Hazen to deal with her students’ inferiority complex. She quoted her 93-year-old grandmother’s version of “cool!” “Grandma Glenna always says, ‘Forever more !’ ” “Forever more !” she shouted, offering the youngsters something old that sounded new.

"A version of this article appears in print on Aug. 23, 2010, Section A, Page 22 of the New York edition with the headline: Say It Loud." 

From Piligrimage: The Book of the People  by Zenna Henderson
(a 1961 collection, published by Doubleday, of earlier stories) —

But all things have to end, and I sat one May afternoon, 
staring into my top desk drawer, the last to be cleaned out, 
wondering what to do with the accumulation of useless 
things in it. But I wasn’t really seeing the contents of the 
drawer, I was concentrating on the great weary emptiness 
that pressed my shoulders down and weighted my mind. 
“It’s not fair,” I muttered aloud and illogically, "to show 
me Heaven and then snatch it away.” 

“That’s about what happened to Moses, too, you know.” 

My surprised start spilled an assortment of paper clips 
and thumb tacks from the battered box I had just picked up. 

“Well forevermore!” I said, righting the box. "Dr. Curtis! 
What are you doing here?” 

"Returning to the scene of my crime,” he smiled, coming 
through the open door.

This is from Henderson's "Pottage," a story first published in 1955.

Sunday, May 22, 2022

Social Physics

Filed under: General — Tags: — m759 @ 2:42 pm

From The Washington Post  yesterday

"Ben Roy Mottelson, an American-born physicist who shared the Nobel Prize for a groundbreaking explanation of the structure and behavior of the atomic nucleus, including its shape, its rotations and its oscillations, died May 13. He was 95. . . . .

Knowledge of nuclear structure is regarded as vital in weapons research, power generation and in solving the problems of astrophysics and the history of the universe.

In what is still regarded as one of the crowning achievements of nuclear physics, Dr. Mottelson helped show, using arguments and techniques from quantum theory, how each individual constituent of the nucleus — each proton and each neutron — exerted an effect on the properties and character of the nucleus as a whole. And vice versa." . . . . 

—  By Martin Weil, May 21, 2022, at 4:04 p.m. EDT

From this  journal on Friday the 13th of May —

"In magic, the will unites with the intellect in an
impassioned desire for supersensible knowledge.
This is the intellectual, aggressive, and scientific
temperament trying to extend its field of consciousness
[…] (Underhill 84; see also 178ff.)"

The reference above is to Underhill, Evelyn:
Mysticism: A Study in the Nature and Development
of Man’s Spiritual Consciousness
.
New York: Dutton, 1911.

Friday, May 13, 2022

“Program or Be Programmed” continues . . .

Filed under: General — Tags: — m759 @ 12:56 am

Byron Gogol's "Dutton" remark suggests a search for that term
in this journal.  That search, and tonight's previous post, suggest
a passage on magic and mysticism published by Dutton in 1911 —

"The fundamental difference between the two is this:
magic wants to get, mysticism wants to give […]
In mysticism the will is united with the emotions in
an impassioned desire to transcend the sense-world
in order that the self may be joined by love to
the one eternal and ultimate Object of love […]
In magic, the will unites with the intellect in an
impassioned desire for supersensible knowledge.
This is the intellectual, aggressive, and scientific
temperament trying to extend its field of consciousness
[…] (Underhill 84; see also 178ff.)"

The reference above is to Underhill, Evelyn:
Mysticism: A Study in the Nature and Development
of Man’s Spiritual Consciousness
.
New York: Dutton, 1911.

Saturday, October 3, 2020

Language

Filed under: General — m759 @ 11:00 am

Thursday, April 2, 2020

Clarity and Precision

Filed under: General — m759 @ 11:55 am

Continued from August 2, 2019
( a date suggested by the following search ) —

An image from “The 7/11 Meditation” ( Log24  on August 2, 2019 ) —

The search suggested above on 7/11, 2018, yields . . .

Monday, October 21, 2019

Algebra and Space… Illustrated.

Filed under: General — Tags: , — m759 @ 4:26 pm

Related entertainment —

Detail:

   George Steiner

"Perhaps an insane conceit."

 

Perhaps.

 

See Quantum Tesseract Theorem .

 

Perhaps Not.

 

 See Dirac and Geometry .

Friday, September 20, 2019

Garbage-Pail Kid

Filed under: General — Tags: — m759 @ 10:02 am

In the spirit of the Linz website in the previous post
the title refers to New Yorker  writer Adam Gopnik:

Garbage-Pail Kids: Adam Bomb

Tuesday, November 7, 2017

Polarities and Correlation

Filed under: Uncategorized — Tags:  
— m759 @ 11:00 PM 

Adam Gopnik on Philip Roth

Adam Gopnik on Philip Roth and Mickey Sabbath

See also a search in this  journal for Polarity + Correlation.

Wednesday, July 31, 2019

Monumental

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

A post in memory of a sculptor who reportedly died on 7/11 —

Tuesday, November 13, 2018

Blackboard Jungle Continues.

Filed under: G-Notes,General,Geometry — Tags: , , — m759 @ 6:19 pm

From the 1955 film "Blackboard Jungle" —

From a trailer for the recent film version of A Wrinkle in Time

Detail of the phrase "quantum tesseract theorem":

From the 1962 book —

"There's something phoney
in the whole setup, Meg thought.
There is definitely something rotten
in the state of Camazotz."

Related mathematics from Koen Thas that some might call a
"quantum tesseract theorem" —

Some background —

Koen Thas, 'Unextendible Mututally Unbiased Bases' (2016)

See also posts tagged Dirac and Geometry. For more
background on finite  geometry, see a web page
at Thas's institution, Ghent University.

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.

Wednesday, May 16, 2018

Same Old Story

Filed under: General — Tags: , , — m759 @ 9:00 am

. . . as time goes by.

Wednesday, April 18, 2018

A Missing Link

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

Ben Brantley's review  tonight of an Irish Repertory Theater
production of "The Seafarer" suggests a look at an
earlier New York Times  article on the same play.

From that article  (Sunday, Nov. 11, 2007) —

The target of a link in this  journal on the above 2007 date —

Reflection groups in Wikipedia

"You've got to pick up every stitch . . . ." — Donovan

Sunday, February 4, 2018

Logos for Sunday, February 4

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

"The walls in the back of the room show geometric shapes
that remind us of the logos on a space shuttle. "

Web page on an Oslo art installation by Josefine Lyche.

See also Subway Art posts.

The translation above was obtained via Google.

The Norwegian original —

"På veggene bakerst i rommer vises geometriske former
som kan minne om logoene på en romferge."

Related logos — Modal Diamond Box in this journal:

Nietzsche, 'law in becoming' and 'play in necessity'

Logos for Philosophers
(Suggested by Modal Logic) —

Nietzsche, 'law in becoming' and 'play in necessity'

Wednesday, January 17, 2018

Language Game

Filed under: General — m759 @ 11:30 am

Continued from Zen and Language Games
(a post of May 2, 2003, written on March 1, 2002)

From The Harvard Crimson  on St. Andrew's Day 2017 —

See also a larger, clearer view of the titles in the above file photo.

Dialogue suggested by the above Harvard Crimson  line
"I am a book today . . . . I know it all." —

A problem child* of sorts in the 2017 film "Gifted"

Mary- "Maybe this school isn't as great as you think it is."

Mary is returned to the place of her examination.

Professor- "Mary, you knew that the problem was incorrect, 
            why didn't you say anything?"

Mary- "Frank says I'm not supposed to correct older people. 
       Nobody likes a smart-ass."

* "Problem Child" was a working title related to a novel
    Heinlein wrote in 1941, Beyond This Horizon —

Thursday, December 21, 2017

Wrinkles

Filed under: General — Tags: — m759 @ 1:00 pm

TIME magazine, issue of December 25th, 2017 —

" In 2003, Hand worked with Disney to produce a made-for-TV movie.
Thanks to budget constraints, among other issues, the adaptation
turned out bland and uninspiring. It disappointed audiences,
L’Engle and Hand. 'This is not the dream,' Hand recalls telling herself.
'I’m sure there were people at Disney that wished I would go away.' "

Not the dream?  It was, however, the nightmare, presenting very well
the encounter in Camazotz of Charles Wallace with the Tempter.

From a trailer for the latest version —

Detail:

From the 1962 book —

"There's something phoney in the whole setup, Meg thought.
There is definitely something rotten in the state of Camazotz."

Song adapted from a 1960 musical —

"In short, there's simply not
A more congenial spot
For happy-ever-aftering
Than here in Camazotz!"

Saturday, December 16, 2017

Triptychs

Filed under: General,Geometry — Tags: , — m759 @ 12:24 am

Two readings by James Parker —

From next year’s first Atlantic  issue

New Testament 'logos' in a review of a David Bentley Hart translation.

From last month’s Atlantic  issue

“Let’s return to that hillside where Clayton exited his Mercedes.
In the gray light, he climbs the pasture. Halfway up the slope,
three horses are standing: sculpturally still, casually composed
in a perfect triptych of horsitude.”

James Parker in The Atlantic , Nov. 2017 issue

Logos-related material 

Friday, December 8, 2017

Mythos and Logos

Filed under: General,Geometry — Tags: — m759 @ 9:48 pm

Part I:  Black Magician

"Schools of criticism create their own canons, elevating certain texts,
discarding others. Yet some works – Malcolm Lowry’s Under the Volcano
is one of them – lend themselves readily to all critical approaches."

— Joan Givner, review of 
A Darkness That Murmured: Essays on Malcolm Lowry and the Twentieth Century
by Frederick Asals and Paul Tiessen, eds.

The Asals-Tiessen book (U. of Toronto Press, 2000) was cited today
by Margaret Soltan (in the link below) as the source of this quotation —

"When one thinks of the general sort of snacky
under-earnest writers whose works like wind-chimes
rattle in our heads now, it is easier to forgive Lowry
his pretentious seriousness, his old-fashioned ambitions,
his Proustian plans, [his efforts] to replace the reader’s
consciousness wholly with a black magician’s."

A possible source, Perle Epstein, for the view of Lowry as black magician —

Part II:  Mythos  and Logos

Part I above suggests a review of Adam Gopnik as black magician
(a figure from Mythos ) —

Tuesday, November 7, 2017

Polarities and Correlation

Filed under: Uncategorized — Tags:  
— m759 @ 11:00 PM 

— and of an opposing figure from Logos
     Paul B. Yale, in the references below:

Thursday, November 30, 2017

Far Out

Filed under: General — m759 @ 11:10 pm

"Archimedes thought that he could move the world
if only he could get outside of it, and the same idea
inspires writers in the transcendental genre of fiction.
Find some place sufficiently far out and put your fulcrum there."

The late Jerry Fodor, who reportedly died on Nov. 29, 2017

Wednesday, November 29, 2017

The Beacon

Filed under: General — m759 @ 11:41 am

Or: "Use the Source, Luke"

Sunday, November 26, 2017

Upper West Side Story:

Filed under: General — Tags: — m759 @ 1:00 pm

The Linotype Fixer

( Sequel to "The Typewriter Fixer" * )

From The Hollywood Reporter  on Tuesday, Nov. 7, 2017 —

* "The Typewriter Fixer" refers to a typewriter repair shop
   on New York's Upper West Side —

The Hollywood Reporter 's  promotional piece  above is from
Tuesday, November 7, 2017.  For another meditation suited to
the Upper West Side, see this  journal on that date —

Tuesday, November 7, 2017

Polarities and Correlation

Filed under: Uncategorized — Tags:  
— m759 @ 11:00 PM 

Adam Gopnik on Philip Roth

Adam Gopnik on Philip Roth and Mickey Sabbath

Friday, November 24, 2017

Scholia

Filed under: General — m759 @ 11:00 pm

From this evening's online New York Times : 

"Eric Salzman, a composer and music critic who
championed a new art form, music theater,
that was neither opera nor stage musical, died
on Nov. 12 at his home in Brooklyn. He was 84."

. . . .

"The first American Music Theater Festival 
took place in the summer of 1984.

Among that first festival’s featured works was 
'Strike Up the Band!,' Mr. Salzman’s 'reconstructed
and adapted' version of a satirical musical
with a score by George and Ira Gershwin
that had not been staged in 50 years. The director
of that production, Frank Corsaro, died 
the day before Mr. Salzman did."

Synchronology check :

"The day before" above was November 11, 2017.

Links from this  journal  on November 11

A Log24 search for Michael Sudduth and an 
October 28, 2017, Facebook post by Sudduth.

Detail of Sudduth's Nov. 11 Facebook home page

Click the above for an enlarged view of the Sudduth profile picture.

Related material :

Harold Schonberg, 1977 review of Corsaro production of Busoni's 'Dr. Faust'

Aooo.

The Typewriter Fixer

Filed under: General — m759 @ 5:37 pm

Adelman reportedly died on Wednesday, November 22, 2017.

Thursday, November 23, 2017

The Matrix

Filed under: General — Tags: , — m759 @ 10:00 pm

David Brooks in The New York Times  today

"We once had a unifying national story, celebrated each Thanksgiving.
It was an Exodus story. Americans are the people who escaped oppression,
crossed a wilderness and are building a promised land. The Puritans brought
this story with them. Each wave of immigrants saw themselves in this story.
The civil rights movement embraced this story.

But we have to admit that many today do not resonate with this story. . . .

Today, we have no common national narrative, no shared way
of interpreting the flow of events. Without a common story,
we don’t know what our national purpose is. We have no
common set of goals or ideals.

We need a new national narrative."

From a post of August 15, 2010

http://www.log24.com/log/pix10B/100815-NeoAndOracle.jpg

For some background, see Java Jive and Today's Theology.

Related readings —

From 1928:

From the previous post:

"Thus, instead of Propp's chronological scheme,
in which the order of succession of events
is a feature of the structure . . .
another scheme should be adopted, which would present
a structural model defined as the group of transformations
of a small number of elements. This scheme would appear
as a matrix . . . ."

Claude Lévi-Strauss, 1960 

Wednesday, November 22, 2017

“Design is how it works” — Steve Jobs

Filed under: General,Geometry — Tags: , — m759 @ 1:00 pm

News item from this afternoon —

Apple AI research on 'mapping systems'

The above phrase "mapping systems" suggests a review
of my own very different  "map systems." From a search
for that phrase in this journal —

Map Systems (decomposition of functions over a finite field)

See also "A Four-Color Theorem: Function Decomposition
Over a Finite Field.
"

Monday, November 20, 2017

Dating Charlie*

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

Washington Post  dateline . . .

November 20 at 6:34 PM

Address . . .

https://www.washingtonpost.com/investigations/
eight-women-say-charlie-rose-sexually-harassed-them–
with-nudity-groping-and-lewd-calls/2017/11/20/ . . .

See also Charlie Rose in this  journal.

The only post found in a Log24 search for "Charlie Rose" is about
his May 7, 2008, interview with a Museum of Modern Art figure,
Paola Antonelli.  A more recent appearance by Antonelli —

Synchronolgy check — Log24 on the date 5 June 2012.

* Title and wording of post revised the following day.

Snowflake

Filed under: General — m759 @ 3:24 pm

Made-up quote from an imaginary celebrity 
in today's online New York Times

"Lighten up and enjoy the act, snowflake."

Related material —

Ending Credits, a Log24 post of Jan. 26, 2015.

Sunday, November 19, 2017

Nightmare for Midsummer

Filed under: General — m759 @ 9:36 pm

In memory of a Brooklyn art figure who reportedly killed himself
on November 9, 2017 —

From an obituary linked to here  in a post, "Information from the Middle 
of the Night
," at 2:02 AM ET on June 23, 2017 —

"In 1976, Ms. DeAk, with Mr. Robinson, Sol LeWitt and
Lucy Lippard, helped found Printed Matter, a publisher
and distributor of artists’ books."

"A version of this article appears in print on June 23, 2017,
on Page B15 of the New York edition with the headline:
Edit DeAk, a Champion of Artists Outside the Mainstream,
Dies at 68."

Related material —

Thursday, November 16, 2017

Orison

Filed under: General — Tags: — m759 @ 11:59 pm

The title, which of course means "Prayer,"
may also mean "Smartphone"  — See
other Log24 posts tagged Orisons.

Detail from a Log24 post on May 21, 2005

Tuesday, November 14, 2017

Dissident Bunk

Filed under: General — m759 @ 3:03 pm

Published today —

        One man's Bunk  is another man's  Dissident Gardens .

Monday, November 13, 2017

Plan 9 at Yale

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

Yale Professors Race Google and IBM to the First Quantum Computer

"So, after summer, in the autumn air, 
Comes the cold volume*  of forgotten ghosts,

But soothingly, with pleasant instruments, 
So that this cold, a children's tale of ice, 
Seems like a sheen of heat romanticized."

— Wallace Stevens,
"An Ordinary Evening in New Haven"

* Update of 10:20 the same evening:

An alternative to The Snow Queen  
as "the cold volume" of Wallace Stevens

On The King in the Window , by Adam Gopnik —

"The book is dedicated to Adam Gopnik's son,
Luke Auden, and his late, great godfathers,
Kirk Varnedoe and Richard Avedon.

'A fantasy that is as ambitious in theme,
sophisticated in setting, and cosmic in scope
as the works of Madeline L'Engle.

The unlikely eponymous hero is Oliver Parker,
an 11-year-old American boy living in Paris
with his mother and journalist father.
After he finds a prize in his slice of cake on
The Night of Epiphany and dons the customary
gilt-paper crown, the boy is plunged into
a battle over nothing less than control of the universe.

His enemy is the dreaded Master of Mirrors,
who rose to power during the reign of Louis XIV,
when Parisians developed technology for making
sheet glass. This faceless, evil being,
capable of capturing souls
through mirrors and enslaving them
in an alternate world that lies beyond all mirrors,
now seeks to dominate the entire universe by
mounting a quantum computer on the Eiffel Tower.

Oliver's mission is to defeat the Master of Mirrors
and save his father's stolen soul.' "

— Description at https://biblio.co.nz/. . . .

In Nomine Patris

Filed under: General — m759 @ 12:28 pm

See also Norbert Wiener  in this  journal  and

Related material for the Church of Synchronology

The Log24 post on the above New York Times  death date.

Sunday, November 12, 2017

Meta Property

Filed under: General — m759 @ 12:36 pm

<meta property="article:published" itemprop="datePublished"
content="2017-11-12T12:05:08-05:00" />

Related entertainment —

Friday, November 10, 2017

The Rogin Gambit

Filed under: General — m759 @ 7:59 pm

See today's New York Times  Rogin obituary.

"What happens next?"
Good question.

See also this  journal on November 4.

Influenz

Filed under: General — m759 @ 6:00 pm

Influenz , by Paul Klee —

Tuesday, November 7, 2017

Polarities and Correlation

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

"Read something that means something."
                — New Yorker  ad

'Knight' octad labeling by the 8 points of the projective line over GF(7) .

Monday, November 6, 2017

The Chomsky Koan

Filed under: General — Tags: — m759 @ 12:45 pm

"Colorless green ideas sleep furiously   is a sentence
composed by Noam Chomsky in his 1957 book 
Syntactic Structures  as an example of a sentence 
that is grammatically correct, but semantically nonsensical."

Wikipedia article on the sentence

Buddhist midrash from The New York Times  today

"For example, psychology has lately started to let go of its
once-sharp distinction between 'cognitive' and 'affective' 
parts of the mind; it has started to see that feelings are so
finely intertwined with thoughts as to be part of their very
coloration." 

See also other recent Log24 posts now tagged Coloration.

Sunday, November 5, 2017

Spectrum at the Center

Filed under: General — Tags: — m759 @ 12:48 pm

The top article in the New York Times Wire  list below is about
a new play that opened at the Sheen Center on All Souls' Day.

Friday

Filed under: General — m759 @ 12:00 pm

Friday, November 3, 2017

You Can Ride

Filed under: General — m759 @ 12:31 pm

(Continued from the previous post, The Trojan Pony.)

Stevie Nicks- 'High atop your pony'

Thursday, November 2, 2017

Of Many Changes

Filed under: General — m759 @ 11:40 am

Thanks to Emily Wilson and Wyatt Mason for an excellent
discussion in today's online New York Times  on Wilson's
new translation of Homer's Odyssey  (to be released Nov. 7).

A detail from the Wilson-Mason article —

See as well

Wednesday, November 1, 2017

Cameron on All Saints’ Day

Filed under: General,Geometry — Tags: , — m759 @ 2:01 pm

"Nowdays, Halloween involves plastic figures of ghosts and bats
bought from the supermarket; this is driven by commerce and
in some people’s view is an American import. But it is clear that
this time of year was traditionally regarded as one where the barrier
between this world and the other was low, and supernatural
manifestations were to be expected."

Peter J. Cameron today.

Remarks related to another "barrier" and vértigo horizontal

See also a search for  Horizon + "Western Australia"  in this  journal.

From that search:  A sort of horizon, a "line at infinity," that is perhaps
more meaningful to most Cameron readers than the above remarks
by Borges —

Friday, October 13, 2017

Speak, Memra

Filed under: General,Geometry — Tags: — m759 @ 11:59 am

The above was suggested by a Log24 review of October 13, 2002,
which in turn suggested a Log24 search for Carousel that yielded
(from Bloomsday Lottery) —

See as well Asimov's "prime radiant," and an illustration
of the number 13 as a radiant prime

"The Prime Radiant can be adjusted to your mind,
and all corrections and additions can be made
through mental rapport. There will be nothing to
indicate that the correction or addition is yours.
In all the history of the Plan there has been no
personalization. It is rather a creation of all of us 
together. Do you understand?"  

"Yes, Speaker!"

— Isaac Asimov, 
    Second Foundation , Ch. 8: Seldon's Plan

"Before time began, there was the Cube."
— Optimus Prime

See also Transformers in this journal.

Tuesday, July 11, 2017

A Date at the Death Cafe

Filed under: General,Geometry — Tags: , — m759 @ 8:48 pm

The New York TImes  reports this evening that
"Jon Underwood, Founder of Death Cafe Movement,"
died suddenly at 44 on June 27. 

This  journal on that date linked to a post titled "The Mystic Hexastigm."

A related remark on the complete 6-point   from Sunday, April 28, 2013

(See, in Veblen and Young's 1910 Vol. I, exercise 11,
page 53: "A plane section of a 6-point in space can  
be considered as 3 triangles perspective in pairs
from 3 collinear points with corresponding sides
meeting in 3 collinear points." This is the large  
Desargues configuration. See Classical Geometry
in Light of Galois Geometry
.)

This  post was suggested, in part, by the philosophical ruminations
of Rosalind Krauss in her 2011 book Under Blue Cup . See 
Sunday's post  Perspective and Its Transections . (Any resemblance
to Freud's title Civilization and Its Discontents  is purely coincidental.)

Monday, November 21, 2016

Inner, Outer

Filed under: General,Geometry — Tags: , — m759 @ 1:04 pm

Detail of a note from 7/11, 1986

Backstory: Notes on Groups and Geometry, 1978-1986.

Sunday, July 10, 2016

Confession of a Heretic

Filed under: General — Tags: — m759 @ 9:57 pm

“At St. Patrick’s Cathedral in New York, Cardinal Timothy M. Dolan
spoke of a country ‘worried, frustrated and fatigued over senseless
violence.’  ‘From Minnesota to Louisiana and Texas, one nation
under God examines its soul,’ he said.”

— Richard Fausset, Campbell Robertson, and
Nikole Hannah-Jones in this evening’s online  New York Times

Nations, of course, do not  have souls. See May 6, 2015.

Friday, July 10, 2015

O Seven, O Eight

Filed under: General — Tags: — m759 @ 11:24 pm

A meditation from the date of death,
07/08/15,
of poet James Tate, 71 —

Saturday, September 27, 2014

Plan B: Books

Filed under: General — m759 @ 9:48 am
http://www.log24.com/log/pix10B/101008-StartingOut.jpg

Above: Frank Langella in
Starting Out in the Evening

Right: Johnny Depp in
The Ninth Gate

http://www.log24.com/log/pix10B/101008-NinthGate.jpg

“One must proceed cautiously, for this road— of truth and falsehood
in the realm of fiction— is riddled with traps and any enticing oasis
is usually a mirage.”

– “Is Fiction the Art of Lying?” by Mario Vargas Llosa,
New York Times  essay of October 7, 1984

For the title plan, see Sisteen in this journal.

Thursday, July 10, 2014

The Agency

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

Strike That Pose.

Monday, September 30, 2013

A Line for Frank

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

(Continued from High White Noon
Finishing Up at Noon, and A New York Jew.)

http://www.log24.com/log/pix10B/101008-StartingOut.jpg

Above: Frank Langella in "Starting Out in the Evening"

Below: Frank Langella and Johnny Depp in "The Ninth Gate"

"Not by the hair on your chinny-chin-chin."

IMAGE- Author's shirt with a Dharma Logo from 'Lost'

Above: Detail from a Wikipedia photo.

For the logo, see Lostpedia.

For some backstory, see Noether.

Those seeking an escape from the eightfold nightmare
represented by the Dharma logo above may consult
the remarks of Heisenberg (the real one, not the
Breaking Bad  version) to the Bavarian Academy
of Fine Arts.

Those who prefer Plato's cave to his geometry are
free to continue their Morphean adventures.

Thursday, May 2, 2013

Character

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

For the Church of St. Frank:

The phrase “Church of St. Frank” was coined in 1995 by
a Harvard professor sneering at literary critic Frank Kermode.
(See a related Log24 note from 1995.)

Now that Frank Kermode is gone, perhaps the phrase suits Frank Langella.

http://www.log24.com/log/pix11B/11720-WallStreetAtCannesSm.jpg

Above: Langella at Cannes with fellow actors from
Wall Street: Money Never Sleeps . He also starred in
the film version of Starting Out in the Evening  (quoted above).

Some related reflections on character:

Diamond Speech (this journal, July 3, 2012) and
Robert Diamond’s Next Life in today’s online New York Times .

Monday, July 16, 2012

Finishing Up at Noon

Filed under: General — m759 @ 12:00 pm

(Continued.)

Jaws for Frank

Part I: October 8, 2010

http://www.log24.com/log/pix10B/101008-StartingOut.jpg

Above: Frank Langella in
"Starting Out in the Evening"

Right: Johnny Depp in
"The Ninth Gate"

http://www.log24.com/log/pix10B/101008-NinthGate.jpg

Part II: Noon Today

IMAGE- Moby Dick bites boat 'in twain' 

"The rest is the madness of art."

See also Patterns in the Carpets
and Saturday's Shadows.

Saturday, May 26, 2012

Desert of the Real Numbers

Filed under: General — m759 @ 10:30 pm

New York Lottery today—

Without imagination, these digits are a meaningless jumble.

With  imagination…

608 might refer to June 8, the Saint's Day  of Gerard Manley Hopkins.
        (See the date July 29, 2002, that appeared in an earlier post today
         as the publication date of Geometrical Landscapes . In this
         journal, a post on that date, "At Random," referred to Hopkins.)

8516 might refer to 8/5/1916. A check of a hometown newspaper
         on that date yields…
         "St. Joseph's Garden Party and Bazaar 22, 23, 24.
          Pictures. Everybody Welcome. Admission to Garden Ten Cents"

And in the evening…

937 might refer to a post on the nihilistic philosophy of Joan Didion, and

7609 might refer to an occurrence of these digits in a link 
          to "7/11" in a post from the feast of St. Ignatius of Loyola last year.

For a more cynical view of lottery hermeneutics, see
"High on RAM (overload)," by Jo Lyxe.

Happy birthday to Stevie Nicks.

Thursday, March 8, 2012

Heralds of Light

Filed under: General — m759 @ 8:00 am

On Harvard's Memorial Church in 2007—

"John Harvard left no male heir to carry on the Harvard family name. Instead, the naming of the College in his honor was the undying legacy that his friends decided to grant to him. In so doing, they were saying to every succeeding generation that this was the kind of man whom they wanted others to emulate, whose spirit of courage, self-sacrifice and generosity embodied the very best of what they hoped Harvard College should become. 

On November 4, 2007, the gift of a tablet was presented to Harvard Memorial Church by the dean of Southwark Cathedral, London, the Rev. Colin Slee, and Emmanuel College, to commemorate the 400th anniversary of John Harvard's baptism. This, along with a combined brief exhibit called 'Heralds of Light,' which consisted in part of showing John Harvard's baptismal page from the Southwark records and his Emmanuel College signature— brought over for the occasion from England by Southwark and Emmanuel representatives—was about all the attention that Harvard University could muster to remember the 400th birthday of its namesake."

— Arseny James Melnick (A.M., Harvard University, 1977),
     personal website on John Harvard

Related material from the entertainment world—

Phoenix Senior: "As the plaque reads, this is John Harvard,
founder of Harvard University in 1638. It's also called
the Statue of Three Lies. What are the three lies?"

— "The Social Network"

Also on November 4, 2007—

Sunday, July 31, 2011

Short Stories

Filed under: General — Tags: — m759 @ 2:02 am

An Amazon.com reader review of Algis Budrys's Writing to the Point: A Complete Guide to Selling Fiction

"Mr. Budrys claims to have the secret to writing fiction that will sell. His secret is very useful but short enough to include here:

Beginning: Must consist of introducing a character, in a particular context, with a problem. And if there are important yet unique/unusual aspects of the character that will be revealed later in the story they must be foreshadowed in the beginning.

Middle: Must involve the character attempting to solve the problem and encountering unexpected failure. During this attempt he begins to learn more about the problem and himself. The character must undergo stress which causes hitherto concealed facets of him to be revealed-that must fit in. The character must try to overcome the problem a total of 3 times on a rising scale of effort, commitment, and depth of knowledge of the problem and one's self. At the last possible moment, with maximum effort and staking everything, he achieves victory. This must be done by wagering everything in a do-or-die situation. Conversely the villain, coming closer to his goal experiences defeat snatched from the jaws of victory-because of some flaw in character.

End: Validation and foreclosure by someone who has no other vested interest in the story. They step forward and say 'He's dead, Jim' or 'Who was that masked man?' This serves to close the story in the reader's mind."

Here are two parallel stories suggested by yesterday's New York Lottery numbers:

Evening: 003 and 8997—

From an author born on 8/9/97:

http://www.log24.com/log/pix11B/110731-WyckoffSpaceGroups-Passage240w.jpg

For the 003, see

http://www.log24.com/log/pix11B/110711-CubeHypostases.gif

7/11.

Midday: 004 and 1931—

From an author born on 1/9/31:

http://www.log24.com/log/pix11B/110731-RogueMoon240w.jpg

For the 004, see the ideogram

http://www.log24.com/log/pix11B/110731-Elements.gif

in Beyond the Limits.

See also the day of the author's
death and the next day.

Happy Feast of St. Ignatius of Loyola.

Sunday, April 10, 2011

Finishing Up at Noon

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

From last October—

Friday, October 8, 2010

m759 @ 12:00 PM
 

Starting Out in the Evening
… and Finishing Up at Noon

This post was suggested by last evening's post on mathematics and narrative and by Michiko Kakutani on Vargas Llosa in this morning's New York Times .

http://www.log24.com/log/pix10B/101008-StartingOut.jpg

Above: Frank Langella in
"Starting Out in the Evening"

Right: Johnny Depp in
"The Ninth Gate"

http://www.log24.com/log/pix10B/101008-NinthGate.jpg

"One must proceed cautiously, for this road— of truth and falsehood in the realm of fiction— is riddled with traps and any enticing oasis is usually a mirage."

– "Is Fiction the Art of Lying?"* by Mario Vargas Llosa,
    New York Times  essay of October 7, 1984

* The Web version's title has a misprint—
   "living" instead of "lying."

"You've got to pick up every stitch…"

A stitch in time…

http://www.log24.com/log/pix11/110410-BeastFavicon.jpg

Related material—

    This journal on April 8
http://www.log24.com/log/pix11/110408-HopkinsAsExorcist.jpg

See also "Putting Mental Health on the Map at Harvard"—

Harvard Crimson , Friday, April 8, 2011, 2:09 AM—

They're outside the Science Center with their signs, their cheer, and their smiles. They've been introducing themselves over House lists, and they want you to ask questions. They're here for you. They're the Student Mental Heath Liaisons.

Harvard's SMHL crewthey pronounce it smilehave recently launched a new website and recruited more members in their effort to foster an informed and understanding environment on campus….

Mental Health Services, SMHL said, are not meant for "students who are really 'crazy.'" Everyone is entitled to a little help smiling.

http://www.log24.com/log/pix11/110410-DrLecter.jpg

Friday, April 8, 2011

Windows

Filed under: General — m759 @ 12:00 pm

Roberta Smith in today's New York Times

"… the argument that painting may ultimately be about
little more than the communication of some quality of
light and space, however abstract or indirect."

— Review of "Rooms With a View" at the Met

Lowry —

http://www.log24.com/log/pix10B/101101-LowryWindow.jpg

Malcolm Lowry, author of Under the Volcano

Hollywood —

http://www.log24.com/log/pix11/110408-HopkinsAsExorcist.jpg

Related material —

Friday, October 8, 2010

m759 @ 12:00 PM
 

Starting Out in the Evening
… and Finishing Up at Noon

This post was suggested by last evening's post on mathematics and narrative and by Michiko Kakutani on Vargas Llosa in this morning's New York Times .

http://www.log24.com/log/pix10B/101008-StartingOut.jpg

Above: Frank Langella in
"Starting Out in the Evening"

Right: Johnny Depp in
"The Ninth Gate"

http://www.log24.com/log/pix10B/101008-NinthGate.jpg

"One must proceed cautiously, for this road— of truth and falsehood in the realm of fiction— is riddled with traps and any enticing oasis is usually a mirage."

– "Is Fiction the Art of Lying?"* by Mario Vargas Llosa,
    New York Times  essay of October 7, 1984

* The Web version's title has a misprint—
   "living" instead of "lying."

"You've got to pick up every stitch…"

Tuesday, April 5, 2011

For Ned*

Filed under: General — m759 @ 12:00 pm

(A sequel to last night's "For Taylor")

On Joan Tewkesbury, who wrote the script for the 1975 film "Nashville"—

She urges writers to continue to generate new ideas
and new material. "Keep writing. The hardest thing
is to sell one script and not have another to follow it with."

One script— Yesterday's link titled "An Ordinary Evening in Tennessee"

Another— "A Point of Central Arrival"

Related material from last October—

Friday, October 8, 2010

m759 @ 12:00 PM
 

Starting Out in the Evening
… and Finishing Up at Noon

This post was suggested by last evening's post on mathematics and narrative and by Michiko Kakutani on Vargas Llosa in this morning's New York Times .

http://www.log24.com/log/pix10B/101008-StartingOut.jpg

Above: Frank Langella in
"Starting Out in the Evening"

Right: Johnny Depp in
"The Ninth Gate"

http://www.log24.com/log/pix10B/101008-NinthGate.jpg

"One must proceed cautiously, for this road— of truth and falsehood in the realm of fiction— is riddled with traps and any enticing oasis is usually a mirage."

– "Is Fiction the Art of Lying?"* by Mario Vargas Llosa,
    New York Times  essay of October 7, 1984

* The Web version's title has a misprint—
   "living" instead of "lying."

"You've got to pick up every stitch…"

* A former governor of Tennessee who died at 80 yesterday in Nashville

Saturday, January 8, 2011

True Grid (continued)

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

"Rosetta Stone" as a Metaphor
  in Mathematical Narratives

For some backgound, see Mathematics and Narrative from 2005.

Yesterday's posts on mathematics and narrative discussed some properties
of the 3×3 grid (also known as the ninefold square ).

For some other properties, see (at the college-undergraduate, or MAA, level)–
Ezra Brown, 2001, "Magic Squares, Finite Planes, and Points of Inflection on Elliptic Curves."

His conclusion:

When you are done, you will be able to arrange the points into [a] 3×3 magic square,
which resembles the one in the book [5] I was reading on elliptic curves….

This result ties together threads from finite geometry, recreational mathematics,
combinatorics, calculus, algebra, and number theory. Quite a feat!

5. Viktor Prasolov and Yuri Solvyev, Elliptic Functions and Elliptic Integrals ,
    American Mathematical Society, 1997.

Brown fails to give an important clue to the historical background of this topic —
the word Hessian . (See, however, this word in the book on elliptic functions that he cites.)

Investigation of this word yields a related essay at the graduate-student, or AMS, level–
Igor Dolgachev and Michela Artebani, 2009, "The Hesse Pencil of Plane Cubic Curves ."

From the Dolgachev-Artebani introduction–

In this paper we discuss some old and new results about the widely known Hesse
configuration
  of 9 points and 12 lines in the projective plane P2(k ): each point lies
on 4 lines and each line contains 3 points, giving an abstract configuration (123, 94).

PlanetMath.org on the Hesse configuration

http://www.log24.com/log/pix11/110108-PlanetMath.jpg

A picture of the Hesse configuration–

The image “http://www.log24.com/log/pix05B/grid3x3med.bmp” cannot be displayed, because it contains errors.

(See Visualizing GL(2,p), a note from 1985).

Related notes from this journal —

From last November —

Saturday, November 13, 2010

Story

m759 @ 10:12 PM

From the December 2010 American Mathematical Society Notices

http://www.log24.com/log/pix10B/101113-Ono.gif

Related material from this  journal—

Mathematics and Narrative and

Consolation Prize (August 19, 2010)

From 2006 —

Sunday December 10, 2006

 

 m759 @ 9:00 PM

A Miniature Rosetta Stone:

The image “http://www.log24.com/log/pix05B/grid3x3med.bmp” cannot be displayed, because it contains errors.

“Function defined form, expressed in a pure geometry
that the eye could easily grasp in its entirety.”

– J. G. Ballard on Modernism
(The Guardian , March 20, 2006)

“The greatest obstacle to discovery is not ignorance –
it is the illusion of knowledge.”

— Daniel J. Boorstin,
Librarian of Congress, quoted in Beyond Geometry

Also from 2006 —

Sunday November 26, 2006

 

m759 @ 7:26 AM

Rosalind Krauss
in "Grids," 1979:

"If we open any tract– Plastic Art and Pure Plastic Art  or The Non-Objective World , for instance– we will find that Mondrian and Malevich are not discussing canvas or pigment or graphite or any other form of matter.  They are talking about Being or Mind or Spirit.  From their point of view, the grid is a staircase to the Universal, and they are not interested in what happens below in the Concrete.

Or, to take a more up-to-date example…."

"He was looking at the nine engravings and at the circle,
checking strange correspondences between them."
The Club Dumas ,1993

"And it's whispered that soon if we all call the tune
Then the piper will lead us to reason."
Robert Plant ,1971

The nine engravings of The Club Dumas
(filmed as "The Ninth Gate") are perhaps more
an example of the concrete than of the universal.

An example of the universal*– or, according to Krauss,
a "staircase" to the universal– is the ninefold square:

The image “http://www.log24.com/theory/images/grid3x3.gif” cannot be displayed, because it contains errors.

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

For more on the field of reason, see
Log24, Oct. 9, 2006.

A reasonable set of "strange correspondences"
in the garden of Apollo has been provided by
Ezra Brown in a mathematical essay (pdf).

Unreason is, of course, more popular.

* The ninefold square is perhaps a "concrete universal" in the sense of Hegel:

"Two determinations found in all philosophy are the concretion of the Idea and the presence of the spirit in the same; my content must at the same time be something concrete, present. This concrete was termed Reason, and for it the more noble of those men contended with the greatest enthusiasm and warmth. Thought was raised like a standard among the nations, liberty of conviction and of conscience in me. They said to mankind, 'In this sign thou shalt conquer,' for they had before their eyes what had been done in the name of the cross alone, what had been made a matter of faith and law and religion– they saw how the sign of the cross had been degraded."

– Hegel, Lectures on the History of Philosophy ,
   "Idea of a Concrete Universal Unity"

"For every kind of vampire,
there is a kind of cross."
– Thomas Pynchon   

And from last October —

Friday, October 8, 2010

 

m759 @ 12:00 PM
 

Starting Out in the Evening
… and Finishing Up at Noon

This post was suggested by last evening's post on mathematics and narrative and by Michiko Kakutani on Vargas Llosa in this morning's New York Times .

http://www.log24.com/log/pix10B/101008-StartingOut.jpg

 

Above: Frank Langella in
"Starting Out in the Evening"

Right: Johnny Depp in
"The Ninth Gate"

http://www.log24.com/log/pix10B/101008-NinthGate.jpg

"One must proceed cautiously, for this road— of truth and falsehood in the realm of fiction— is riddled with traps and any enticing oasis is usually a mirage."

– "Is Fiction the Art of Lying?"* by Mario Vargas Llosa,
    New York Times  essay of October 7, 1984

* The Web version's title has a misprint—
   "living" instead of "lying."

"You've got to pick up every stitch…"

Friday, October 8, 2010

Starting Out in the Evening

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

… and Finishing Up at Noon

This post was suggested by last evening’s post on mathematics and narrative
and by Michiko Kakutani on Vargas Llosa in this morning’s New York Times.

http://www.log24.com/log/pix10B/101008-StartingOut.jpg

Above: Frank Langella in
Starting Out in the Evening

Right: Johnny Depp in
The Ninth Gate

http://www.log24.com/log/pix10B/101008-NinthGate.jpg

“One must proceed cautiously, for this road— of truth and falsehood in the realm of fiction— is riddled with traps and any enticing oasis is usually a mirage.”

— “Is Fiction the Art of Lying?”* by Mario Vargas Llosa, New York Times  essay of October 7, 1984

My own adventures in that realm— as reader, not author— may illustrate Llosa’s remark.

A nearby stack of paperbacks I haven’t touched for some months (in order from bottom to top)—

  1. Pale Rider by Alan Dean Foster
  2. Franny and Zooey by J. D. Salinger
  3. The Hobbit by J. R. R. Tolkien
  4. Le Petit Prince by Antoine de Saint Exupéry
  5. Literary Reflections by James A. Michener
  6. The Ninth Configuration by William Peter Blatty
  7. A Streetcar Named Desire by Tennessee Williams
  8. Nine Stories by J. D. Salinger
  9. A Midsummer Night’s Dream by William Shakespeare
  10. The Tempest by William Shakespeare
  11. Being There by Jerzy Kosinski
  12. What Dreams May Come by Richard Matheson
  13. Zen and the Art of Motorcycle Maintenance by Robert M. Pirsig
  14. A Gathering of Spies by John Altman
  15. Selected Poems by Robinson Jeffers
  16. Hook— Tinkerbell’s Challenge by Tristar Pictures
  17. Rising Sun by Michael Crichton
  18. Changewar by Fritz Leiber
  19. The Painted Word by Tom Wolfe
  20. The Hustler by Walter Tevis
  21. The Natural by Bernard Malamud
  22. Truly Tasteless Jokes by Blanche Knott
  23. The Man Who Was Thursday by G. K. Chesterton
  24. Under the Volcano by Malcolm Lowry

What moral Vargas Llosa might draw from the above stack I do not know.

Generally, I prefer the sorts of books in a different nearby stack. See Sisteen, from May 25. That post the fanciful reader may view as related to number 16 in the above list. The reader may also relate numbers 24 and 22 above (an odd couple) to By Chance, from Thursday, July 22.

* The Web version’s title has a misprint— “living” instead of “lying.”

Tuesday, July 20, 2010

Midnight in the Garden continued

Filed under: General — m759 @ 12:00 am

Lottery hermeneutics for yesterday's numbers—

PA— Midday 711, Evening 039.

NY— Midday 440, Evening 704.

Simple interpretive methods— numbers as dates and as hexagram numbers— yield 7/11, hexagram 39, and 7/04.

The reader may supply his own interpretations of 7/11 and 7/04; for hexagram 39, see Wilhelm's commentary

"The hexagram pictures a dangerous abyss lying before us
  and a steep, inaccessible mountain rising behind us."

— and the cover of Cold Mountain

The image 
“http://www.log24.com/log/pix05A/050703-Cold.jpg” cannot be displayed, 
because it contains errors.

Adapted from cover of
German edition of Cold Mountain

This suggests revisiting The Edge of Eternity (July 5, 2005).

The hermeneutics of the NY midday 440 is more difficult. A Google search suggests that a Log24 post for Epiphany 2004, "720 in the Book," might yield a clue to the 440 riddle.

Image-- 'What is a closed-form number?'

By all means, let us 440.

Wednesday, September 2, 2009

Wednesday September 2, 2009

Filed under: General — m759 @ 11:09 am
Back to School

Canto I:

NY Times-- 'Soul' of a Party Is Memorialized

Canto II:

Friday, August 28, 2009,
in this journal

Annals of Religion:

Rites of Passage

“Things fall apart;
   the centre cannot hold….

Part I:

“Inside the church,  
    the grief was real….”

Canto III:

Sunday, August 30, 2009,
in The New York Times

“Things fall apart; the center cannot hold. Facebook, the online social grid, could not command loyalty forever.”

— Virginia Heffernan, “Facebook Exodus,” NY Times Magazine, Sunday, August 30, 2009

Canto IV:

A Season in Purgatory, by Dominick Dunne

Click for details.
 
Canto V:
 
Dorm Room Feng Shui: 'YOU ARE HERE'

Tuesday, March 17, 2009

Tuesday March 17, 2009

Filed under: General,Geometry — Tags: — m759 @ 11:07 am
Deep Structures

The traditional 'Square of Opposition'

The Square of Oppositon
at Stanford Encylopedia of Philosophy


The Square of Opposition diagram in its earliest known form

The Square of Opposition
in its original form

"The diagram above is from a ninth century manuscript of Apuleius' commentary on Aristotle's Perihermaneias, probably one of the oldest surviving pictures of the square."

Edward Buckner at The Logic Museum

From the webpage "Semiotics for Beginners: Paradigmatic Analysis," by Daniel Chandler:
 

The Semiotic Square of Greimas

The Semiotic Square

"The structuralist semiotician Algirdas Greimas introduced the semiotic square (which he adapted from the 'logical square' of scholastic philosophy) as a means of analysing paired concepts more fully (Greimas 1987,* xiv, 49). The semiotic square is intended to map the logical conjunctions and disjunctions relating key semantic features in a text. Fredric Jameson notes that 'the entire mechanism… is capable of generating at least ten conceivable positions out of a rudimentary binary opposition' (in Greimas 1987,* xiv). Whilst this suggests that the possibilities for signification in a semiotic system are richer than the either/or of binary logic, but that [sic] they are nevertheless subject to 'semiotic constraints' – 'deep structures' providing basic axes of signification."

* Greimas, Algirdas (1987): On Meaning: Selected Writings in Semiotic Theory (trans. Paul J Perron & Frank H Collins). London: Frances Pinter

Another version of the semiotic square:

Rosalind Krauss's version of the semiotic square, which she calls the Klein group

Krauss says that her figure "is, of course, a Klein Group."

Here is a more explicit figure representing the Klein group:

The Klein Four-Group, illustration by Steven H. Cullinane

There is also the logical
    diamond of opposition

The Diamond of Opposition (figure from Wikipedia)

A semiotic (as opposed to logical)
diamond has been used to illustrate
remarks by Fredric Jameson,
 a Marxist literary theorist:

"Introduction to Algirdas Greimas, Module on the Semiotic Square," by Dino Felluga at Purdue University–

 

The semiotic square has proven to be an influential concept not only in narrative theory but in the ideological criticism of Fredric Jameson, who uses the square as "a virtual map of conceptual closure, or better still, of the closure of ideology itself" ("Foreword"* xv). (For more on Jameson, see the [Purdue University] Jameson module on ideology.)

Greimas' schema is useful since it illustrates the full complexity of any given semantic term (seme). Greimas points out that any given seme entails its opposite or "contrary." "Life" (s1) for example is understood in relation to its contrary, "death" (s2). Rather than rest at this simple binary opposition (S), however, Greimas points out that the opposition, "life" and "death," suggests what Greimas terms a contradictory pair (-S), i.e., "not-life" (-s1) and "not-death" (-s2). We would therefore be left with the following semiotic square (Fig. 1):

A semiotic 'diamond of opposition'

 

As Jameson explains in the Foreword to Greimas' On Meaning, "-s1 and -s2"—which in this example are taken up by "not-death" and "not-life"—"are the simple negatives of the two dominant terms, but include far more than either: thus 'nonwhite' includes more than 'black,' 'nonmale' more than 'female'" (xiv); in our example, not-life would include more than merely death and not-death more than life.

 

* Jameson, Fredric. "Foreword." On Meaning: Selected Writings in Semiotic Theory. By Algirdas Greimas. Trans. Paul J. Perron and Frank H. Collins. Minneapolis: U of Minnesota P, 1976.

 

 

"The Game in the Ship cannot be approached as a job, a vocation, a career, or a recreation. To the contrary, it is Life and Death itself at work there. In the Inner Game, we call the Game Dhum Welur, the Mind of God."

The Gameplayers of Zan, by M.A. Foster

"For every kind of vampire,
there is a kind of cross."
— Thomas Pynchon,
 Gravity's Rainbow

Crosses used by semioticians
to baffle their opponents
are illustrated above.

Some other kinds of crosses,
and another kind of opponent:

Monday, July 11, 2005

Logos
for St. Benedict's Day

Click on either of the logos below for religious meditations– on the left, a Jewish meditation from the Conference of Catholic Bishops; on the right, an Aryan meditation from Stormfront.org.

Logo of Conference of Catholic Bishops     Logo of Stormfront website

Both logos represent different embodiments of the "story theory" of truth, as opposed to the "diamond theory" of truth.  Both logos claim, in their own ways, to represent the eternal Logos of the Christian religion.  I personally prefer the "diamond theory" of truth, represented by the logo below.

Illustration of the 2x2 case of the diamond theorem

See also the previous entry
(below) and the entries
  of 7/11, 2003.
 

Sunday, July 10, 2005

Mathematics
and Narrative

 
Click on the title
for a narrative about

Nikolaos K. Artemiadis

Nikolaos K. Artemiadis,
 (co-) author of

Artemiadis's 'History of Mathematics,' published by the American Mathematical Society
 

From Artemiadis's website:
1986: Elected Regular Member
of the Academy of Athens
1999: Vice President
of the Academy of Athens
2000: President
of the Academy of Athens
Seal of the American Mathematical Society with picture of Plato's Academy

 

"First of all, I'd like to
   thank the Academy…"

— Remark attributed to Plato

Thursday, February 28, 2008

Thursday February 28, 2008

Filed under: General,Geometry — Tags: — m759 @ 7:20 pm
Popularity of MUB’s

From an entry today at the weblog of Lieven Le Bruyn (U. of Antwerp):

“MUBs (for Mutually Unbiased Bases) are quite popular at the moment. Kea is running a mini-series Mutual Unbias….”

The link to Kea (Marni Dee Sheppeard (pdf) of New Zealand) and a link in her Mutual Unbias III (Feb. 13) lead to the following illustration, from a talk, “Discrete phase space based on finite fields,” by William Wootters at the Perimeter Institute in 2005:

http://www.log24.com/log/pix08/080228-Wooters2.jpg

This illustration makes clear the
close relationship of MUB’s to the
finite geometry of the 4×4 square.

The Wootters talk was on July 20, 2005. For related material from that July which some will find more entertaining, see “Steven Cullinane is a Crank,” conveniently reproduced as a five-page thread in the Mathematics Forum at groupsrv.com.

Sunday, December 2, 2007

Sunday December 2, 2007

Filed under: General — Tags: — m759 @ 9:00 am
Icarus

Part I: Matisse

The Wisdom of the Ego, by George E. Vaillant

The Wisdom of the Ego
,
by George E. Vaillant,
Harvard University Press (1993)

Cover illustration:
“Icarus,” from Jazz, by Henri Matisse

Publisher’s description of author:

George E. Vaillant is Professor of Psychiatry;
Director of the Study of Adult Development,
Harvard University Health Services;
and Director of Research in
the Division of Psychiatry,
Brigham and Women’s Hospital.

A review:

“This is a remarkable synthesis of the best current thinking on ego psychology as well as a many-faceted picture of what Robert White would call ‘lives in progress.’ It makes on its own not only a highly innovative contribution to ego psychology but an equally original and impressive contribution to longitudinal research. A remarkable and many-faceted work.”

— The late George W. Goethals    
of Harvard University

Part II:
The Hospital

Cached from http://bostonist.com/2007/12/01/boston_blotter_164.php

December 1, 2007

Boston Blotter: More on Harvard Student Found Dead

'Boston Blotter body outline–John Edwards, the Harvard sophomore whose body was found yesterday at Harvard Medical School,* committed suicide. People who knew him, such as a professor and his roommate are mystified. Eva Wolchover lists Edwards’ many accomplishments. He was a top science student (and that’s saying something around here), a stem cell researcher, and a guitar player.

A Facebook group named “In Memory of John Edwards” has already been established.

* Other reports say the body was found at about 11 PM on Thursday, Nov. 29– the presumed date of Edwards’s death.  Edwards was said to have conducted stem cell research at Brigham and Women’s Hospital, a teaching affiliate of Harvard Medical School.


Part III:
Down to Earth

The reviewer in Icarus, Part I, above,
Dr. Goethals, was my teacher in a
1960-61 freshman seminar at Harvard.
He admired the work of
Harry Stack Sullivan.

The cover of the Sullivan book below
may serve to illustrate yesterday’s
“Plato’s Horses” remarks.

http://www.log24.com/log/pix07A/ClinicalStudies.jpg

The ego defenses of today’s
Harvard students seem to need some
  strengthening. Perhaps Vaillant, Sullivan,
and the philosophies of Pirsig and of Plato
discussed in yesterday’s entry
may be of use in this regard.

Related material:

In the Details and
The Crimson Passion.

Friday, November 23, 2007

Friday November 23, 2007

Filed under: General — m759 @ 5:24 am
Another Pattern

“It seems, as one becomes older,
That the past has another pattern,
and ceases to be
      a mere sequence….”

— T. S. Eliot, Harvard ’10

Quoted in Log24 on
November 11, 2003

A search at the New York Times
for the subject of the previous entry
reveals another aspect of that date:

What Happened Before the Big Bang?

“…trying to imagine how the universe made its ‘quantum leap from eternity into time,’ as the physicist Dr. Sidney Coleman of Harvard once put it. Some physicists speculate that on the other side of the looking glass of Time Zero is another…”

November 11, 2003

– By DENNIS OVERBYE
– Technology – 819 words

Related material:

Peter Woit in his weblog
on Nov. 12, 2007:

“Is it a good idea for physicists to appear on a radio show discussing what happened before the big bang, or does the lack of any evidence about this or of a convincing model mean that this is just inherently too speculative a topic to be sold as serious science to a wide audience? Should one perhaps leave this topic to the Bogdanovs?”

Or to T.S. Eliot,
Annie Dillard, and
William Shakespeare?
 
For more on the date
11/11, see
Plato, Pegasus, and
the Evening Star.

Tuesday, November 20, 2007

Tuesday November 20, 2007

Filed under: General — m759 @ 1:44 am
Death on a Friday

and the
Magic of Numbers

PA Lottery Friday, Nov. 16, 2007: Midday 717, Evening 419

Above: PA Lottery on
Friday, November 16th,
the date of death
for noted leftist attorney
Victor Rabinowitz

“Mr. Rabinowitz was a member
of the Communist Party
from 1942 until the early 1960s,
he wrote in his memoir,
Unrepentant Leftist (1996).
He said the party
seemed the best vehicle
to fight for social justice.”

The New York Times,
 Nov. 20, 2007

Related material:

7/17,
4/19,
and
 Friday.

From the Harvard Crimson on Friday:

“Robert Scanlan, a professor of theater
who knew Beckett personally,
directed the plays….
He said that performing Beckett as part of
the New College Theatre’s inaugural series
represents an auspicious beginning.”

From Log24 on 4/19–
Drama Workshop“–
a note of gratitude
from the Virginia Tech killer:

“Thanks to you, I die like Jesus Christ,
to inspire generations of the weak
and the defenseless people.”

“It’s not for me. For my children,
for my brothers and sisters…
I did it for them.”

Manifesto of Cho  

Party on, Victor.

For further drama, see

The Crimson Passion.

Tuesday, November 6, 2007

Tuesday November 6, 2007

Filed under: General — m759 @ 12:25 pm
The Third Person

Of Modern Art


The New York Times
November 6, 2007

More on the Career of
the Genius Who Boldly
Compared Himself to God

By MICHIKO KAKUTANI

“Picasso… once said…

‘… No wonder his [Picasso’s] style is so ambiguous. It’s like God’s. God is really only another artist. He invented the giraffe, the elephant and the cat. He has no real style. He just keeps on trying other things. The same with this sculptor….’

The comparison to God, like the use of the third person, was deliberate, of course.”

Of Modern Poetry

The poem of the mind
    in the act of finding
What will suffice ….
                            … It has
To construct a new stage.
    It has to be on that stage,
And, like an insatiable actor,
    slowly and
With meditation, speak words
    that in the ear,
In the delicatest ear
    of the mind, repeat,
Exactly, that which it
    wants to hear, at the sound
Of which, an invisible
    audience listens,
Not to the play, but to
    itself, expressed
In an emotion as of
    two people, as of two
Emotions becoming one.
   The actor is
A metaphysician in the dark….

— Wallace Stevens in
    Parts of a World, 1942


Of Modern Metaphysics

“For every work [or act] of creation is threefold, an earthly trinity to match the heavenly.

First, [not in time, but merely in order of enumeration] there is the Creative Idea, passionless, timeless, beholding the whole work complete at once, the end in the beginning: and this is the image of the Father.

Second, there is the Creative Energy [or Activity] begotten of that idea, working in time from the beginning to the end, with sweat and passion, being incarnate in the bonds of matter: and this is the image of the Word.

Third, there is the Creative Power, the meaning of the work and its response in the lively soul: and this is the image of the indwelling Spirit.

And these three are one, each equally in itself the whole work, whereof none can exist without other: and this is the image of the Trinity.”

— Concluding speech of St. Michael the Archangel in a 1937 play, “The Zeal of Thy House,” by Dorothy Sayers, as quoted in her 1941 book The Mind of the Maker. That entire book was, she wrote, an expansion of St. Michael’s speech.

Related material:

Monday, July 16, 2007

Monday July 16, 2007

Filed under: General — Tags: — m759 @ 8:06 am
Confirmation

“They took all the trees,
put ’em in a tree museum
and they charged the people
a dollar and a half just to see ’em”

Joni Mitchell

From an article (full version contains spoiler) on Bridge to Terabithia:

“In the book, a girl named Leslie Burke moves in next door to a chore-ridden farm boy, Jess Aarons, and imagines for him a kingdom she names Terabithia. Over a fall and winter, they ride the bus home from school together (sharing a seat in spite of catcalls from schoolmates), dump their backpacks at the edge of the road, and run across an empty field to the edge of a creek bed, where ‘someone long forgotten had hung a rope.’ They use the rope to swing across the gully into Terabithia, a wooded glade that Leslie makes magic….”

The image “http://www.log24.com/log/pix07/070716-MagicTime.jpg” cannot be displayed, because it contains errors.

Art by Wendell Minor from the cover
of Magic Time, by Doug Marlette

From Bridge to Terabithia:

“I know”– she was getting excited– “it could be a magic country like Narnia, and the only way you can get in is by swinging across on this enchanted rope.” Her eyes were bright. She grabbed the rope. “Come on,” she said.

LOS ANGELES – Roger Cardinal Mahony, leader of the Los Angeles Catholic Archdiocese, the nation’s largest, apologized yesterday for what he called a “terrible sin and crime” as the church confirmed it would pay a record $660 million to people sexually abused by priests.

Log24 7/11,
“Magic Time”

Mary Karr,
Facing Altars:
  Poetry and Prayer“–

“There is a body
on the cross  
 in my church.”

“Don’t it always seem to go
that you don’t know
what you’ve got
till it’s gone”

Joni Mitchell

Thursday, July 12, 2007

Thursday July 12, 2007

Filed under: General — m759 @ 1:00 pm
Heaven was
kind of a hat

on the universe,
a lid that kept
everything underneath it
where it belonged.”

 — Carrie Fisher,
Postcards from the Edge

Texas Lottery logo: cowboy hat in air

Texas Lottery on 7/11, 2007: Mid-day 511, Evening 234

5/11:

“Going Up.”

— “Love at the  
 Five and Dime
,”
by
Nanci Griffith

234:

“One two three four,
who are we for?”

Saturday, March 10, 2007

Saturday March 10, 2007

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

The Logic of Dreams

From A Beautiful Mind–

“How could you,” began Mackey, “how could you, a mathematician, a man devoted to reason and logical proof…how could you believe that extraterrestrials are sending you messages? How could you believe that you are being recruited by aliens from outer space to save the world? How could you…?”

Nash looked up at last and fixed Mackey with an unblinking stare as cool and dispassionate as that of any bird or snake. “Because,” Nash said slowly in his soft, reasonable southern drawl, as if talking to himself, “the ideas I had about supernatural beings came to me the same way that my mathematical ideas did. So I took them seriously.”

Ideas:

The image “http://www.log24.com/log/pix07/070309-NYlottery.jpg” cannot be displayed, because it contains errors.

The image “http://www.log24.com/log/pix07/070309-PAlottery.jpg” cannot be displayed, because it contains errors.

These numbers may, in the mad way so well portrayed by Sylvia Nasar in the above book, be regarded as telling a story… a story that should, of course, not be taken too seriously.

Friday’s New York numbers (midday 214, evening 711) suggest the dates 2/14 and 7/11.  Clicking on these dates will lead the reader to Log24 entries featuring, among others, T. S. Eliot and Stephen King– two authors not unacquainted with the bizarre logic of dreams.

A link in the 7/11 entry leads to a remark of Noel Gray on Plato’s Meno and “graphic austerity as the tool to bring to the surface, literally and figuratively, the inherent presence of geometry in the mind of the slave.”

Also Friday: an example of graphic austerity– indeed, Gray graphic austerity– in Log24:

Chessboard (Detail)

This illustration refers to chess rather than to geometry, and to the mind of an addict rather than to that of a slave, but chess and geometry, like addiction and slavery, are not unrelated.


Friday’s Pennsylvania numbers, midday 429 and evening 038, suggest that the story includes, appropriately enough in view of the above Beautiful Mind excerpt, Mackey himself.  The midday number suggests the date 4/29, which at Log24 leads to an entry in memory of Mackey.

(Related material: the Harvard Gazette of April 6, 2006, “Mathematician George W. Mackey, 90: Obituary“–  “A memorial service will be held at Harvard’s Memorial Church on April 29 at 2 p.m.“)

Friday’s Pennsylvania evening number 038 tells two other parts of the story involving Mackey…

As Mackey himself might hope, the number may be regarded as a reference to the 38 impressive pages of Varadarajan’s “Mackey Memorial Lecture” (pdf).

More in the spirit of Nash, 38 may also be taken as a reference to Harvard’s old postal address, Cambridge 38, and to the year, 1938, that Mackey entered graduate study at Harvard, having completed his undergraduate studies at what is now Rice University.

Returning to the concept of graphic austerity, we may further simplify the already abstract chessboard figure above to obtain an illustration that has been called both “the field of reason” and “the Garden of Apollo” by an architect, John Outram, discussing his work at Mackey’s undergraduate alma mater:

The image “http://www.log24.com/theory/images/grid3x3.gif” cannot be displayed, because it contains errors.

Let us hope that Mackey,
a devotee of reason,
is now enjoying the company
of Apollo rather than that of
Tom O’Bedlam:

The image “http://www.log24.com/log/pix05A/050613-Crowe.jpg” cannot be displayed, because it contains errors.

For John Nash on his birthday:

I know more than Apollo,
For oft when he lies sleeping
I see the stars at mortal wars
In the wounded welkin weeping.

Tom O’Bedlam’s Song

Monday, July 11, 2005

Monday July 11, 2005

Filed under: General — m759 @ 12:00 am
Logos
for St. Benedict’s Day

Click on either of the logos below for religious meditations — on the left, a Jewish meditation from the Conference of Catholic Bishops; on the right, an Aryan meditation from Stormfront.org.

     

Both logos represent different embodiments of the “story theory” of truth, as opposed to the “diamond theory” of truth.  Both logos claim, in their own ways, to represent the eternal Logos of the Christian religion.  I personally prefer the “diamond theory” of truth, represented by the logo below.

See also the previous entry
and the entries of 7/11, 2003.

Wednesday, July 14, 2004

Wednesday July 14, 2004

Filed under: General — m759 @ 1:20 pm
Value

American Heritage Dictionary

val·ue NOUN:
6. Mathematics An assigned
or calculated numerical quantity.

The image “http://www.log24.com/log/pix04A/040714-Lottery.jpg” cannot be displayed, because it contains errors.

Commentary —
See Boyz N the Hood:
Kerry, Edwards Emphasize Values
(Log24 7/11, 2004)
.

Time Magazine,
issue dated July 19, 2004 —

“Second-Helping Summer:
Movie sequels are getting raves…”

Boyz N the Hood,
Part II

The image “http://www.log24.com/log/pix04A/040714-Hood.jpg” cannot be displayed, because it contains errors.

First Family Visits Hood:

After the service, Bush spoke with the press outside the chapel.

“These incidents were basically thrust upon the innocent Iraqi people by gangs, violent gangs….”

“I know this, that we’re plenty tough, and we’ll remain tough….”

“Happy Easter to everybody. Thank you.”

   Happy Bastille Day, Fort Hood.

Monday, July 12, 2004

Monday July 12, 2004

Filed under: General — m759 @ 10:31 pm
Character and Values

In response to this morning’s Wizard-of-Id example (see 1:22 PM entry) of a political Bob-Hope-style Christian wisecrack (a style more apt to make me gag than laugh), some further quotations:

I need a photo-opportunity,
I want a shot at redemption.
Don’t want to end up a cartoon
In a cartoon graveyard.
— Paul Simon

The image “http://www.log24.com/log/pix04A/040712-Rockefeller.jpg” cannot be displayed, because it contains errors.

The Washington Post on the gigolo candidate in Boston Monday:

“In a lunch speech to more than 1,000 women who had donated $500 to $2,000 to his campaign or the Democratic Party, Kerry was joined on stage by his wife, Teresa Heinz Kerry….  He focused his comments on improving health care and creating more jobs — notions that he said ‘are not Democratic values. They’re not Republican values. They are American values.’ “

Let us pass over Kerry’s ignorance of the difference between desiderata (things considered desirable) and values (principles, standards, or qualities considered desirable).

A definition of “values” in a different sense, one that might appeal to the late St. Laurance Rockefeller, dead on 7/11, who majored in philosophy at Princeton:

“In an artistical composition, the character of any one part in its relation to other parts and to the whole — often used in the plural: as, the values are well given, or well maintained.”

Webster’s Unabridged Dictionary, 1913

Rockefeller is, I hope, now in a place where he can discuss this definition with Bach as it applies to, say, that composer’s “Goldberg Variations.”

Here below, another sort of Goldberg Variations seems appropriate to the times we live in …

The following composition was inspired by Whoopi Goldberg’s remarks at last Thursday’s Radio City Music Hall Democratic Party fund-raiser.

Democratic Political Art:
Motherhood and Apple Pie

The image “http://www.log24.com/log/pix04A/040712-Ikex3.jpg” cannot be displayed, because it contains errors.

Sources:

Ike Turner, Bad Dreams album,
Mom’s Apple Pie album (X-rated),
and Log24 entries of
July 9-10 and July 12.

Update of 3:17 AM July 13, 2004:

A place in Heaven next to St. Laurance
seems to have been reserved:

The image “http://www.log24.com/log/pix04A/040713-Obits.jpg” cannot be displayed, because it contains errors.

Monday, May 10, 2004

Monday May 10, 2004

Filed under: General — m759 @ 6:06 am

Lamed-Vavnik

Click on the above for further details.

Jane Marie Law, professor of world religions at Cornell, who spoke at the funeral April 23 at Temple Beth-El in Ithaca, said Fuller had told her she believed a society is judged not by its artistic or scientific achievements but ‘by how it treats its prisoners.’ “

Cornell Chronicle, April 29, 2004

Sunday, October 13, 2002

Sunday October 13, 2002

Filed under: General — Tags: — m759 @ 10:55 pm

Two Literary Classics
(and a visit from a saint)

On this date in 1962, Edward Albee's classic play, "Who's Afraid of Virginia Woolf?" opened on Broadway.


George and Martha by
Edward Albee
  

Click to enlarge.
George and Martha by
 St. James Marshall

As I was preparing this entry, based on the October 13 date of the Albee play's opening, after I looked for a picture of Marshall's book I thought I'd better check dates related to Marshall, too.   This is what I was surprised to find:  Marshall (b. Oct. 10, 1942) died in 1992 on today's date, October 13.  This may be verified at

The James Edward Marshall memorial page,

A James Edward Marshall biography, and

Author Anniversaries for October 13.

The titles of the three acts of Albee's play suffice to indicate its dark spiritual undercurrents:

"Fun and Games" (Act One),
"Walpurgisnacht" (Act Two) and
"The Exorcism" (Act Three).

A theological writer pondered Albee in 1963:

"If, as Tillich has said of Picasso's Guernica, a 'Protestant' picture means not covering up anything but looking at 'the human situation in its depths of estrangement and despair,' then we could call Edward Albee's Who's Afraid of Virginia Woolf? a 'Protestant' play. On any other definition it might be difficult to justify its religious significance except as sheer nihilism."
— Hugh T. Kerr, Theological Table-Talk, July 1963

It is a great relief to have another George and Martha (who first appeared in 1972) to turn to on this dark anniversary, and a doubly great relief to know that Albee's darkness is balanced by the light of Saint James Edward Marshall, whose feast day is today.

For more on the carousel theme of the Marshall book's cover, click the link for "Spinning Wheel" in the entry below.

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