Log24

Saturday, March 19, 2016

Anonymous Content*

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

See Anonymous in this journal.

* For the origin of the title, see the previous post.

Thursday, October 12, 2023

“Another Opening, Another Show”

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

"Romy and Michele's High School Reunion  opens with an aerial shot
of Venice Beach, CA, zooming (east) into the girls' apartment window."

Other views —

Venice-Beach-related images with Flashdance

"Fake it until you make it." — AA saying.

Monday, November 7, 2022

Prescott Street Revisited: The Boys in the Kitchen

Filed under: General — Tags: , — m759 @ 3:57 pm

Or:  MDT-48 Meets COMP360.

‘It doesn’t have a street-name and that’s because, as yet,
it doesn’t have any street profile – which is incidentally
the way we want it to stay. The boys in the kitchen are
keeping it low-key and anonymous. They’re calling it MDT-48.’

The boys in the kitchen?

— Glynn, Alan. Limitless: A Novel  (p. 40).
     Picador. Kindle Edition.
     (Originally published by Little, Brown
     in Great Britain in 2001 as The Dark Fields .) 

From Log24 on Nov. 29, 2020

IMAGE- Cover image for a free mixtape, 'Lawrence Class - The Diamond Theory,' that contains images from Steven H. Cullinane's 'Diamond Theory.'

CNN story from All Souls' Day 2022

“This drug can be extracted from magic mushrooms,
but that is not the way our compound is generated.
It’s synthesized in a purely chemical process
to produce a crystalline form,” said Goodwin, who is
the chief medical officer of COMPASS Pathways,
the company that manufactures COMP360 and
conducted the study."

See as well "To Think That It Happened on Prescott Street"
and related posts.

Sunday, April 24, 2022

The Well and the Stone

Filed under: General — Tags: , — m759 @ 10:29 pm

From a post of October 25, 2002 —

"A work of art has an author and yet,
when it is perfect, it has something
which is essentially anonymous about it."
— Simone Weil, Gravity and Grace

This flashback was suggested by a quotation
in today's previous post

"Go back to the darkest roots of civilisation
and you will find them knotted round
some sacred stone or encircling
some sacred well."

— G. K. Chesterton, Orthodoxy , Ch. 5 
"The Flag of the World."

Sunday, May 2, 2021

Weimar 360

Filed under: General — m759 @ 10:19 pm

“… an internal ‘360’ review — in which staff members
offer anonymous feedback — revealed negative evaluations….”

The New York Times  today on MOCA, the
Los Angeles Museum of Contemporary Art

History of the “360 review” —

“The origins are with the German Reichswehr around 1930,
when the military psychologist Johann Baptist Rieffert
developed a methodology to select officer candidates.”

Wikipedia

Related material suggested by a Harvardwood email today
reporting a recent alumni death —

See also CV Books.

Saturday, December 19, 2020

Quackers

Filed under: General — Tags: — m759 @ 12:43 pm

An Internet search for the anonymous author Quack5quack yields . . .

Thursday, December 17, 2020

Square Space at Wikipedia

Filed under: General — Tags: , — m759 @ 11:45 pm

The State of Square-Space Art at Wikipedia  as of December 16, 2020,
after a revision by an anonymous user on that date:

See also Square Space at Squarespace.

Wednesday, December 9, 2020

“Identity Work”

Filed under: General — m759 @ 2:07 pm

The title is a phrase I encountered today in a search for background
on the anonymous Wikipedia user whose first “user talk” page is as
follows —

First Wikipedia 'user talk' page for 'Redactedentity' with a reference to 'CrazyMinecart88'

See also CrazyMinecart88 at
https://en.wikipedia.org/wiki/User:CrazyMinecart88 .

“… the disclosure of knowledge as it is
intimately bound up with identity work”

— “Awarding the self in Wikipedia : Identity work
and the disclosure of knowledge,” by Daniel Ashton.
First Monday, Volume 16, Number 1 – 3 January 2011.

Some mine cart  “identity work” of my own —

Tuesday, December 8, 2020

Another Damned Dyslexic

Filed under: General — Tags: — m759 @ 5:11 pm

The Importance of Being Ernst —

In the above Wikipedia revision today, the anonymous user “Redactedentity”
found that the article Kummer surface omitted Kummer’s first name
and so changed “authorlink=Ernst Kummer|last=Kummer” to
“authorlink=Ernst Kummer|last=Ernst Kummer.” This fixed the
omission but makes no sense as a statement of parameters.

“Redactedentity” was apparently unable to read the following page,
which explains that “last=” is for the author’s last  name —

Of course, this revision may be merely an instance of trolling or of
the sort of humor sometimes found among  people with the following
interests:

See also Pazouzou.

Sunday, December 6, 2020

“Binary Coordinates”

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

The title phrase is ambiguous and should be avoided.
It is used indiscriminately to denote any system of coordinates
written with 0 ‘s and 1 ‘s, whether these two symbols refer to
the Boolean-algebra truth values false  and  true , to the absence
or presence  of elements in a subset , to the elements of the smallest
Galois field, GF(2) , or to the digits of a binary number .

Related material from the Web —

Some related remarks from “Geometry of the 4×4 Square:
Notes by Steven H. Cullinane” (webpage created March 18, 2004) —

A related anonymous change to Wikipedia today —

The deprecated “binary coordinates” phrase occurs in both
old and new versions of the “Square representation” section
on PG(3,2), but at least the misleading remark about Steiner
quadruple systems has been removed.

Monday, July 6, 2020

Caliber

Filed under: General — Tags: — m759 @ 2:59 pm
Lines from “Impulse,” a 1990 Sondra Locke film —

He died by two contact
gunshots to the head.

Definitely small caliber.
Probably .22.

There’s almost no rigor,

so time of death
must be about 12:30 a.m.

an anonymous woman
caller reported it.

If a broad did it,

she sure knew
how to use a gun.

“Bing bang . . . .” — Song lyric quoted here on 7/01.

Thursday, June 11, 2020

Spacek’s File*

Filed under: General — Tags: — m759 @ 5:00 am

From a search in this journal for Spacek

"Honesty's the best policy."
— Miguel de Cervantes

"Liars prosper."
— Anonymous

— Epigraphs to On Writing:
A Memoir of the Craft
,
by Stephen King

Lavender Blue,
Dilly, Dilly,
Lavender Green…
Image-- Spacek as Carrie

* A title suggested by the previous post.

Saturday, June 6, 2020

Night at the Museum of Unnatural History

Filed under: General — m759 @ 12:00 am

“When men and women pour so much alcohol into themselves
that they destroy their lives, they commit a most unnatural act.”

Twelve Steps and Twelve Traditions , Step Six

Thursday, August 15, 2019

Schoolgirl Space — Tetrahedron or Square?

Filed under: General — Tags: , , — m759 @ 9:03 pm

The exercise in the previous post  was suggested by a passage
purporting to "use standard block design theory" that was written
by some anonymous author at Wikipedia on March 1, 2019:

Here "rm OR" apparently means "remove original research."

Before the March 1 revision . . .

The "original research" objected to and removed was the paragraph
beginning "To explain this further."  That paragraph was put into the
article earlier on Feb. 28 by yet another anonymous author (not  by me).

An account of my own (1976 and later) original research on this subject 
is pictured below, in a note from Feb. 20, 1986 —

'The relativity problem in finite geometry,' 1986

Sunday, July 7, 2019

Schoolgirl Problem

Filed under: General — Tags: , , , — m759 @ 11:18 pm

Anonymous remarks on the schoolgirl problem at Wikipedia —

"This solution has a geometric interpretation in connection with 
Galois geometry and PG(3,2). Take a tetrahedron and label its
vertices as 0001, 0010, 0100 and 1000. Label its six edge centers
as the XOR of the vertices of that edge. Label the four face centers
as the XOR of the three vertices of that face, and the body center
gets the label 1111. Then the 35 triads of the XOR solution correspond
exactly to the 35 lines of PG(3,2). Each day corresponds to a spread
and each week to a packing
."

See also Polster + Tetrahedron in this  journal.

There is a different "geometric interpretation in connection with
Galois geometry and PG(3,2)" that uses a square  model rather
than a tetrahedral  model. The square  model of PG(3,2) last
appeared in the schoolgirl-problem article on Feb. 11, 2017, just
before a revision that removed it.

Battlefield Geometry

Filed under: General — Tags: — m759 @ 1:40 pm

Mind game on the birthday of Évariste Galois:

Wednesday, March 6, 2019

The Relativity Problem and Burkard Polster

Filed under: General,Geometry — Tags: — m759 @ 11:28 am
 

From some 1949 remarks of Weyl—

"The relativity problem is one of central significance throughout geometry and algebra and has been recognized as such by the mathematicians at an early time."

— Hermann Weyl, "Relativity Theory as a Stimulus in Mathematical Research," Proceedings of the American Philosophical Society , Vol. 93, No. 7, Theory of Relativity in Contemporary Science: Papers Read at the Celebration of the Seventieth Birthday of Professor Albert Einstein in Princeton, March 19, 1949  (Dec. 30, 1949), pp. 535-541

Weyl in 1946—:

"This is the relativity problem: to fix objectively a class of equivalent coordinatizations and to ascertain the group of transformations S mediating between them."

— Hermann Weyl, The Classical Groups , Princeton University Press, 1946, p. 16

For some context, see Relativity Problem  in this journal.

In the case of PG(3,2), there is a choice of geometric models 
to be coordinatized: two such models are the traditional
tetrahedral model long promoted by Burkard Polster, and
the square model of Steven H. Cullinane.

The above Wikipedia section tacitly (and unfairly) assumes that
the model being coordinatized is the tetrahedral model. For
coordinatization of the square model, see (for instance) the webpage
Finite Relativity.

For comparison of the two models, see a figure posted here on
May 21, 2014 —

Labeling the Tetrahedral Model  (Click to enlarge) —

"Citation needed" —

The anonymous characters who often update the PG(3,2) Wikipedia article
probably would not consider my post of 2014, titled "The Tetrahedral
Model of PG(3,2)
," a "reliable source."

Friday, March 1, 2019

Wikipedia Scholarship (Continued)

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

This post continues a post from yesterday on the square model of
PG(3,2) that apparently first appeared (presented as such*) in . . .

Cullinane, "Symmetry invariance in a diamond ring,"
Notices of the AMS , pp. A193-194, Feb. 1979.

The Cullinane diamond theorem, AMS Notices, Feb. 1979, pp. A-193-194

Yesterday's Wikipedia presentation of the square model was today
revised by yet another anonymous author —

Revision history accounting for the above change from yesterday —

The jargon "rm OR" means "remove original research."

The added verbiage about block designs is a smokescreen having
nothing to do with the subject, which is square  representation
of the 35 points and lines.

* The 35 squares, each consisting of four 4-element subsets, appeared earlier
   in the Miracle Octad Generator (MOG) of R. T. Curtis (published in 1976).
  They were not at that time  presented as constituting a finite geometry, 
  either affine (AG(4,2)) or projective (PG(3,2)).

Thursday, February 28, 2019

Wikipedia Scholarship

Filed under: General — Tags: , , — m759 @ 12:31 pm

Cullinane's Square Model of PG(3,2)

Besides omitting the name Cullinane, the anonymous Wikipedia author
also omitted the step of representing the hypercube by a 4×4 array —
an array called in this  journal a Galois  tesseract.

Sunday, September 30, 2018

Iconology of the Eightfold Cube

Filed under: General,Geometry — Tags: , — m759 @ 11:13 am

Found today in an Internet image search, from the website of
an anonymous amateur mathematics enthusiast

Forming Gray codes in the eightfold cube with the eight
I Ching  trigrams (bagua ) —

Forming Gray codes in the eightfold cube with the eight I Ching trigrams (bagua)

This  journal on Nov. 7, 2016

A different sort of cube, from the makers of the recent
Netflix miniseries "Maniac" —

See also Rubik in this  journal.

Monday, December 12, 2016

Symbology for Dan Brown and Stephen King

Filed under: General — m759 @ 6:16 pm

Thirty-year medallion from
Alcoholics Anonymous —


 

Error Icon —

Context —

Monday, October 24, 2016

Princeton Space

Filed under: General — m759 @ 12:00 pm
 

From the Thursday, Oct. 13, 2016, Daily Princetonian —
The opening paragraphs of an article by Andie Ayala,
"In Pursuit of Space":

The ever-elusive “space” is a word spoken into a great expanse of hopes and fears and delusions: “safe spaces,” “inclusive spaces,” “open spaces,” “green spaces,” “learning spaces.” In this space, words float around abstractly, almost effortlessly, seemingly without the weight of any gravity; appearing to be a distant glimmer of an idea, a once bright and assuring light, which— without much definition— easily fades into obscurity.

Coming to Princeton, it’s tempting to feel as though the rhetoric surrounding the term “space” stretches the word out, magnifies it, and tacks it onto well-designed brochures and anonymous invitations. Yet the question remains— how do you comfortably situate yourself within the incredibly abstruse concept of “space,” especially when you happen to exist in a territory that has been occupied and claimed by an endless sea of others, and which has been upheld by an impregnable and deeply rooted history?

In the process of interviewing various members of the University, one thing has become clear; the question of space is an issue that is pertinent to all members of the Princeton community.

For greater depth on this topic, see the previous post.

For less depth, see a post of January 18, 2005.

Wednesday, March 30, 2016

Romanesque

Filed under: General — Tags: — m759 @ 12:20 pm

From New York Times  obituary
of Ellsworth Kelly by Holland Cotter —

"The anonymous role of
the Romanesque church artist
remained a model."

See as well 

Note the contradiction between the URL date (last Monday's)
and the printed date below it (that of Epiphany 2016).
 

Who's trolling whom?

Sunday, March 20, 2016

Where

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

"Where indeed might the literary scholar expect to find, 
if not in literature, the measure  of modern thought?"

— "Ruins of the Ogdoad," by Michael Keefer

"Seven is Heaven, Eight is a Gate, Nine is a Vine."

— Mnemonic rhyme; author anonymous

Saturday, March 19, 2016

Two-by-Four

Filed under: General,Geometry — Tags: , — m759 @ 11:27 am

For an example of "anonymous content" (the title of the
previous post), see a search for "2×4" in this journal.

A 2x4 array of squares

Friday, March 18, 2016

The Stone…

Filed under: General — Tags: — m759 @ 10:30 pm

of  Woody Allen's  philosopher

"Deadline reports that Stone is finalizing a deal
to star in Maniac , a 30-minute television series with
her former Superbad  castmate Jonah Hill.
The project, a dark comedy, will be directed by 
True Detective  alum Cary Fukunaga and is based
on a 2014 Norwegian series about a mental-institution
patient living out a fantasy life in his dreams."

Vanity Fair  today

See as well the previous post and Jews Telling Stories.

Update of 11:07 PM ET —

From Variety  today — "Hill and Stone would also make their
TV producing debut as the two stars are attached to exec produce
with  Anonymous Content’s Michael Sugar and Doug Wald …."

"The problem is having a solid business plan and knowing what
you're doing, whether it's a movie, a TV series or a company."
Steve Golin in The Hollywood Reporter , Sept. 4, 2013

Monday, December 28, 2015

Mirrors, Mirrors, on the Wall

Filed under: General,Geometry — m759 @ 8:00 am

The previous post quoted Holland Cotter's description of
the late Ellsworth Kelly as one who might have admired 
"the anonymous role of the Romanesque church artist." 

Work of a less anonymous sort was illustrated today by both
The New York Times  and The Washington Post

'Artist Who Shaped Geometries on a Bold Scale' - NY Times

'Ellsworth Kelly, the master of the deceptively simple' - Washington Post

The Post 's remarks are of particular interest:

Philip Kennicott in The Washington Post , Dec. 28, 2015,
on a work by the late Ellsworth Kelly —

“Sculpture for a Large Wall” consisted of 104 anodized aluminum panels, colored red, blue, yellow and black, and laid out on four long rows measuring 65 feet. Each panel seemed different from the next, subtle variations on the parallelogram, and yet together they also suggested a kind of language, or code, as if their shapes, colors and repeating patterns spelled out a basic computer language, or proto-digital message.

The space in between the panels, and the shadows they cast on the wall, were also part of the effect, creating a contrast between the material substance of the art, and the cascading visual and mental ideas it conveyed. The piece was playful, and serious; present and absent; material and imaginary; visually bold and intellectually diaphanous.

Often, with Kelly, you felt as if he offered up some ideal slice of the world, decontextualized almost to the point of absurdity. A single arc sliced out of a circle; a single perfect rectangle; one bold juxtaposition of color or shape. But when he allowed his work to encompass more complexity, to indulge a rhetoric of repetition, rhythmic contrasts, and multiple self-replicating ideas, it began to feel like language, or narrative. And this was always his best mode.

Compare and contrast a 2010 work by Josefine Lyche

IMAGE- The 2x2 case of the diamond theorem as illustrated by Josefine Lyche, Oct. 2010

Lyche's mirrors-on-the-wall installation is titled
"The 2×2 Case (Diamond Theorem)."

It is based on a smaller illustration of my own.

These  variations also, as Kennicott said of Kelly's,
"suggested a kind of language, or code."

This may well be the source of their appeal for Lyche.
For me, however, such suggestiveness is irrelevant to the
significance of the variations in a larger purely geometric
context.

This context is of course quite inaccessible to most art
critics. Steve Martin, however, has a phrase that applies
to both Kelly's and Lyche's installations: "wall power."
See a post of Dec. 15, 2010.

Sunday, December 27, 2015

Rigorous Imagist*

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

The death of a well-known artist today suggested
a search for Pythagorean Stone in this journal.

An image from that search, together with a sentence
from his obituary, may serve as a memorial.

From a New York Times  obituary
by Holland Cotter tonight —

"The anonymous role of
the Romanesque church artist
remained a model."

* For the title, see the two previous posts.

Saturday, November 1, 2014

Not Saints

Filed under: General — m759 @ 1:00 pm

“We are not saints.” — Alcoholics Anonymous , Chapter 5

The New York Times  on AA’s co-founder Bill Wilson in 1934:

Click for the rest of the story.

Sunday, December 22, 2013

The Bronfman Catechism

Filed under: General — m759 @ 10:21 am

Meanwhile

Log24 on Sunday, October 5, 2008

Theologian James Edwin Loder:

“In a game of chess, the knight’s move is unique because it alone goes around corners. In this way, it combines the continuity of a set sequence with the discontinuity of an unpredictable turn in the middle. This meaningful combination of continuity and discontinuity in an otherwise linear set of possibilities has led some to refer to the creative act of discovery in any field of research as a ‘knight’s move’ in intelligence.”

Related material:

Terence McKenna:

“Schizophrenia is not a psychological disorder peculiar to human beings. Schizophrenia is not a disease at all but rather a localized traveling discontinuity of the space time matrix itself. It is like a travelling whirl-wind of radical understanding that haunts time. It haunts time in the same way that Alfred North Whitehead said that the color dove grey ‘haunts time like a ghost.’”

Anonymous author:

“‘Knight’s move thinking’ is a psychiatric term describing a thought disorder where in speech the usual logical sequence of ideas is lost, the sufferer jumping from one idea to another with no apparent connection. It is most commonly found in schizophrenia.”

Related journalism

IMAGE- Scene from a blackboard jungle

"What's the 'S'  stand for?" — Amy Adams

Friday, April 5, 2013

The Crucible

Filed under: General — Tags: — m759 @ 6:12 am

"Though we had many pieces, we did not have the whole.
It was thirty years before we deciphered the formula.
But we did it at last.

There at night in the darkness of Fourier’s laboratory,
the four of us stood and watched the philosophers’ stone
forming in the crucible."

The Eight , by Katherine Neville
     (2008 Ballantine Books mass market edition, p. 640)

A journal post from August 25, 2009:

Image from a different journal earlier that same day, August 25, 2009:

Thirty-year medallion from Alcoholics Anonymous —

 

See also, in this  journal, "The Eight" + Damnation.

Saturday, March 30, 2013

Bright Star

Filed under: General — m759 @ 10:30 pm

An earlier (noon) version of this post showed a photo of a
heartbreakingly beautiful young woman I encountered on
the Web today by chance. Perhaps it is best if she remains
anonymous here.

A detail taken today from her Facebook page:

IMAGE- Facebook 'places' nightclub location dated 'about 3 weeks ago'

Location of a nightclub in Bucharest

Related material: Shining Forth by myself and Malcolm Lowry,
and Lucifer  by Mihai Eminescu.

See also this journal "about 3 weeks ago."

Thursday, February 7, 2013

Mathematics and Narrative, continued…

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

Primes Are Forever

"If diamonds are a girl's best friend,
prime numbers are a mathematician's….

A Mersenne prime is of the form 2P-1,
where the variable P is itself a prime—
making the Mersenne an elite sort of prime,
a James Bond among spies."

— Anonymous author at
    Fox News, Feb. 5, 2013

The author notes that the smaller
Mersenne primes include 7.

Related Material

April 7, 2003:

April is Math Awareness Month.

This year's theme is "mathematics and art."

Mathematics and Art: Totentanz from Seventh Seal

Update of 2:56 PM Feb. 7:

See also Paul Bateman and, in this journal, the date of Bateman's death.

For mathematics rather than narrative, see (for instance)

.

Thursday, November 29, 2012

The Place of the Lion

Filed under: General — m759 @ 11:22 pm

For C. S. Lewis, who was born on this date in 1898,
and Natalie Wood, who died on this date in 1981

"He was accustomed to receiving manuscripts from strangers…."
— C. P. Snow on mathematician G. H. Hardy

"Whoever you are— I have always depended on
the kindness of strangers." — A Streetcar Named Desire

From this journal on September 24, 2012

"A single self-transcendence" — Aldous Huxley

From an anonymous author at the website Kill Devil Hill

"This little story… has that climactic moment of 
heightened awareness…. This is a moment where
two individuals become one, empowering them
to transcend the limitations of their own individual
frailty and society. It's an epiphany, an almost
divine spark. It is an experience when one plus one
don't equal two, but something far greater."

Kill Devil Hills also appears in a 1983 film—

"Suppose it were possible to transfer
from one mind to another
the experience of another person."

— Trailer for "Brainstorm" (1983),
the last film of Natalie Wood

Monday, September 24, 2012

Nice Job, Jimmy

Filed under: General — Tags: — m759 @ 9:29 am

"… and now thanks to Philo T. Farnsworth,
we have 'Here Comes Honey Boo Boo.'"

Jimmy Kimmel at last night's Emmy Awards

Related material—

Aldous Huxley in last evening's Log24 post—

"Embraced, the lovers desperately try
to fuse their insulated ecstasies into
a single self-transcendence…."

From an anonymous author at the website Kill Devil Hill

"This little story… has that climactic moment of
heightened awareness….  This is a moment where
two individuals become one, empowering them
to transcend the limitations of their own individual
frailty and society. It's an epiphany, an almost
divine spark. It is an experience when one plus one
don't equal two, but something far greater."

Kill Devil Hills also appears in a 1983 film

"Suppose it were possible to transfer
from one mind to another
the experience of another person."

Trailer for "Brainstorm" (1983),
     the last film of Natalie Wood

Saturday, February 18, 2012

Symmetry

Filed under: General,Geometry — m759 @ 7:35 pm

From the current Wikipedia article "Symmetry (physics)"—

"In physics, symmetry includes all features of a physical system that exhibit the property of symmetry—that is, under certain transformations, aspects of these systems are 'unchanged', according to a particular observation. A symmetry of a physical system is a physical or mathematical feature of the system (observed or intrinsic) that is 'preserved' under some change.

A family of particular transformations may be continuous  (such as rotation of a circle) or discrete  (e.g., reflection of a bilaterally symmetric figure, or rotation of a regular polygon). Continuous and discrete transformations give rise to corresponding types of symmetries. Continuous symmetries can be described by Lie groups while discrete symmetries are described by finite groups (see Symmetry group)."….

"A discrete symmetry is a symmetry that describes non-continuous changes in a system. For example, a square possesses discrete rotational symmetry, as only rotations by multiples of right angles will preserve the square's original appearance."

Note the confusion here between continuous (or discontinuous) transformations  and "continuous" (or "discontinuous," i.e. "discrete") groups .

This confusion may impede efforts to think clearly about some pure mathematics related to current physics— in particular, about the geometry of spaces made up of individual units ("points") that are not joined together in a continuous manifold.

For an attempt to forestall such confusion, see Noncontinuous Groups.

For related material, see Erlanger and Galois as well as the opening paragraphs of Diamond Theory

Symmetry is often described as invariance under a group of transformations. An unspoken assumption about symmetry in Euclidean 3-space is that the transformations involved are continuous.

Diamond theory rejects this assumption, and in so doing reveals that Euclidean symmetry may itself  be invariant under rather interesting groups of non-continuous (and a-symmetric) transformations. (These might be called noncontinuous  groups, as opposed to so-called discontinuous  (or discrete ) symmetry groups. See Weyl's Symmetry .)

For example, the affine group A on the 4-space over the 2-element field has a natural noncontinuous and asymmetric but symmetry-preserving action on the elements of a 4×4 array. (Details)

(Version first archived on March 27, 2002)

Update of Sunday, February 19, 2012—

The abuse of language by the anonymous authors
of the above Wikipedia article occurs also in more
reputable sources. For instance—

IMAGE- Brading and Castellani, 'Symmetries in Physics'- Four main sections include 'Continuous Symmetries' and 'Discrete Symmetries.'

Some transformations referred to by Brading and Castellani
and their editees as "discrete symmetries" are, in fact, as
linear transformations of continuous spaces, themselves
continuous  transformations.

This unfortunate abuse of language is at least made explicit
in a 2003 text, Mathematical Perspectives on Theoretical
Physics 
(Nirmala Prakash, Imperial College Press)—

"… associated[*] with any given symmetry there always exists
a continuous or a discrete group of transformations….
A symmetry whose associated group is continuous (discrete)
is called a continuous  (discrete ) symmetry ." — Pp. 235, 236

[* Associated how?]

Saturday, October 8, 2011

Found in Translation

Filed under: General — Tags: — m759 @ 5:48 am

For the morning of Yom Kippur

"Amanecer— ¿Tienes una Bandera para mí?"

— Emily Dickinson

The link above leads to an anonymous photo taken on July 18, 2006.

See also a large image search (1.9 MB) from yesterday
and a Log24 post from July 18, 2006, Sacred Order.

Wednesday, September 21, 2011

The Forking

Filed under: General — m759 @ 10:16 pm

"When you come to a fork in the road, take it." — Yogi Berra

http://www.log24.com/log/pix11B/110921-NYlotteryEvening.jpg

This evening's NY Lottery numbers were 375 and 3141.

Subjective interpretations—

There seems to be only one relevant result of a Google search for "375 Log24"—

http://www.log24.com/log/pix11B/110921-Search-375-Log24.jpg

There are, however, two  relevant interpretations of the number 3141—

1. The Saturday Evening Post  3/1/41 article by Jack Alexander on AA—

"The members of Alcoholics Anonymous do not pursue or coddle
a malingering prospect, and they know the strange tricks of the alcoholic
as a reformed swindler knows the art of bamboozling."

2. Post number 3141 in this  journal— Aesthetics for Jesuits.

Sunday, July 31, 2011

Validation

Filed under: General — m759 @ 6:09 pm

From a writer's requiem—

"Algis points out that at the end of each story, there should be a moment of validation, a place where a person in authority makes some sort of statement that lets the reader know that the story has reached its conclusion." David Farland, June 9, 2008

Paraphrase of a version by an anonymous reader at Amazon.com (see previous post)—

"… someone who has no other vested interest in the story… steps forward and says 'He's dead, Jim' or 'Who was that masked man?'"

Moments of validation from today's midday NY Lottery4639 and 575.

For "He's dead, Jim," see April 6, 1939* (4/6/39) at St. Joseph's Church in Springfield, Mass.

For "Who was that masked man?," see the Mark of Zorro in Post  575.

* This was a Maundy Thursday, not the Good Friday indicated in the linked narrative.

Thursday, July 28, 2011

Winning

Filed under: General — m759 @ 10:30 am

From a short story:

One day his mother and his Uncle Oscar came in when he was on one of his furious rides. He did not speak to them.

"Hallo, you young jockey! Riding a winner?" said his uncle.

"Aren't you growing too big for a rocking-horse? You're not a very little boy any longer, you know," said his mother.

But Paul only gave a blue glare from his big, rather close-set eyes. He would speak to nobody when he was in full tilt. His mother watched him with an anxious expression on her face.

At last he suddenly stopped forcing his horse into the mechanical gallop and slid down.

"Well, I got there!" he announced fiercely, his blue eyes still flaring, and his sturdy long legs straddling apart.

"Where did you get to?" asked his mother.

"Where I wanted to go," he flared back at her.

"That's right, son!" said Uncle Oscar. "Don't you stop till you get there. What's the horse's name?"

"He doesn't have a name," said the boy.

— "The Rocking-Horse Winner," by D. H. Lawrence

"In the desert you can remember your name,
'Cause there ain't no one for to give you no pain."

America

See also June 12, 2005September 11, 2007, and Something Anonymous.

"A New York Jew imitates D. H. Lawrence at his peril."

Tuesday, July 26, 2011

Venus at St. Anne’s

Filed under: General — Tags: , — m759 @ 7:20 pm

The title is that of a chapter in the C.S. Lewis classic  That Hideous Strength .

A search suggested by this afternoon's NY Lottery four-digit number,
8002, yields a forum post at WebOfNarcissism.com—

"a book that changed my life"—

"Here is the book:

http://www.amazon.com/What-Loved-Novel-Siri-Hustvedt/dp/0312421192

Warning.  It is dark.  But it is also lovely."

Whether it is deep as well, the reader may judge.

The quoted review is from a discussion by an anonymous user
of her relationship with someone called N. See also, in this journal,
The Story of N.

Happy St. Anne's Day.

Thursday, May 26, 2011

Prime Cubes

Filed under: General,Geometry — Tags: — m759 @ 11:09 am

The title refers not to numbers  of the form p 3, p  prime, but to geometric  cubes with p 3 subcubes.

Such cubes are natural models for the finite vector spaces acted upon by general linear groups viewed as permutation  groups of degree  (not order ) p 3.

IMAGE- From preface to Larry C. Grove, 'Classical Groups and Geometric Algebra

For the case p =2, see The Eightfold Cube.

For the case p =3, see the "External links" section of the Nov. 30, 2009, version of Wikipedia article "General Linear Group." (That is the version just prior to the Dec. 14, 2009, revision by anonymous user "Greenfernglade.")

For symmetries of group actions for larger primes, see the related 1985 remark* on two -dimensional linear groups—

"Actions of GL(2,p )  on a p ×p  coordinate-array
have the same sorts of symmetries,
where p  is any odd prime."

* Group Actions, 1984-2009

Thursday, March 31, 2011

Women’s History Month

Filed under: General — m759 @ 3:48 pm

The Center

http://www.log24.com/log/pix11/110331-CrimsonWomensCenter-Censored.jpg

Anonymous Woman

Adapted from Harvard Crimson
March 2008 photo by Isabella N. Lai
at the Harvard Women's Center

See also …

Yeats –
the centre cannot hold,”

Stevens –
the center of resemblance,”

and Zelazny –
center loosens,
forms again elsewhere
.”

Wednesday, January 5, 2011

True Grid (continued)

Filed under: General — m759 @ 7:59 pm

For material related to the Dec. 29, 2010, posts Toy Stories and True Grid

See Theological Points of Tron: Legacy, by the anonymous blogger hilbertthm90.

An excerpt —

Another story told in the movie is how this girl was about to be destroyed by the evil guys only to find “the father” standing over her after she blacked out and he “saved her”. The father’s disk contains all the information about everything in the grid, so in a sense the father is omniscient. Clearly the father is a stand in for the Biblical God since he creates a whole universe and is omniscient (and by some of the actions he performs in the movie, he seems omnipotent as well). I don’t think the Christian parallels are all in my head.

There is some sketchy theology that occurs that might be in my head, though. The “real world” outside of the grid seems to be a symbol for heaven. If this is true, it presents a very interesting theological point.

Compare and contrast —

Woody and Buzz  from Christmas Day, 2010 —

http://www.log24.com/log/pix10B/101229-WoodyOrBuzz.jpg

Update of 8:55 PM — Related material from today's  Ghost Light weblog

http://www.log24.com/log/pix11/110105-GhostLightWarGames.jpg

See also today's New York midday lottery number, 596, as it appears in a search
for "legacy code" in this journal. It is China's code for its first nuclear test.

Today's evening New York number is less alarming — 401, suggesting the date
4/01 — i.e., April Fools' Day.

Wednesday, November 17, 2010

Church Narrative

Filed under: General,Geometry — Tags: — m759 @ 2:22 am

Thanks to David Lavery for the following dialogue on the word "narrative" in politics—

"It's like – does this fit into narrative?
It's like, wait, wait, what about a platform? What about, like, ideas?
What about, you know, these truths we hold to be self-evident?
No, it's the narrative."

"Is narrative a fancy word for spin?"

Related material —

Church Logic (Log24, October 29) —

  What sort of geometry
    is the following?

IMAGE- The four-point, six-line geometry

 

"What about, you know, these truths we hold to be self-evident?"

Some background from Cambridge University Press in 1976 —

http://www.log24.com/log/pix10B/101117-CameronIntro2.jpg

Commentary —

The Church Logic post argues that Cameron's implicit definition of "non-Euclidean" is incorrect.

The four-point, six-line geometry has as lines "all subsets of the point set" which have cardinality 2.

It clearly satisfies Euclid's parallel postulate.  Is it, then, not  non-Euclidean?

That would, according to the principle of the excluded middle (cf. Church), make it Euclidean.

A definition from Wikipedia that is still essentially the same as it was when written on July 14, 2003

"Finite geometry describes any geometric system that has only a finite number of points. Euclidean geometry, for example, is not finite, because a Euclidean line contains infinitely many points…."

This definition would seem to imply that a finite geometry (such as the four-point geometry above) should be called non -Euclidean whether or not  it violates Euclid's parallel postulate. (The definition's author, unlike many at Wikipedia, is not  anonymous.)

See also the rest  of Little Gidding.

Saturday, August 14, 2010

Annals of Web Mathematics

Filed under: General — m759 @ 7:59 pm

Lead news item tonight at the website of the American Mathematical Society—

AMS Research Journals Archive Is Digitized

"The American Mathematical Society has established a complete digital archive of its mathematical research journals. Over 34,000 articles are available from more than one hundred years of high-quality mathematical research in Journal of the AMS, Mathematics of Computation, Proceedings of the AMS, Transactions of the AMS, and Bulletin of the AMS. All back issues, starting with each journal's inaugural issue through 2005, are now freely available in electronic format. Researchers can browse the contents of each journal to find articles and authors in each volume and issue and search across the entire archive by journal or group of journals. View the abstract, references (with links to MathSciNet), bibliographic information, and Mathematics Subject Classifications for each article or view a PDF of the full article. The AMS makes the digitized archive of these important research journals freely available to all mathematicians through the generosity of an anonymous donor."

Thursday, July 1, 2010

Omega at Eight

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

The "compact key to universal wisdom" passage in the previous post seemed
too well written to be the work of an anonymous webforum author.

Here is a slightly expanded version—

Throughout history mystics and philosophers have sought
a compact key to universal wisdom, a finite formula or text
that would provide the answer to every question. The use of
the Bible, the Koran and the I Ching for divination and the
tradition of the secret books of Hermes Trismegistus and the
medieval Jewish Cabala exemplify this belief or hope.  Such
sources of universal wisdom are traditionally protected from
casual use by being difficult to find as well as difficult to un-
derstand and dangerous to use, tending to answer more quest-
ions and deeper ones than the searcher wishes to ask. The
esoteric book is, like God, simple yet undescribable. It is om-
niscient, and it transforms all who know it. The use of clas-
sical texts to foretell mundane events is considered supersti-
tious nowadays, yet in another sense science is in quest of its
own Cabala, a concise set of natural laws that would explain
all phenomena. In mathematics, where no set of axioms can
hope to prove all true statements, the goal might be a concise
axiomatization of all "interesting" true statements.
      Ω is in many senses a Cabalistic number. It can be known
of through human reason, but not known. To know it in detail
one must accept its uncomputable sequence of digits on faith,
like words of a sacred text.   

This is Martin Gardner's* and Charles H. Bennett's
revised version of a passage from Bennett's  paper
"On Random and Hard-to-Describe Numbers," 1979.

The original passage from Bennett's paper—

Throughout history mystics and philosophers have sought a compact key to
universal wisdom, a finite formula or text which, when known and understood,
would provide the answer to every question. The Bible, the Koran, the mythical
secret books of Hermes Trismegistus, and the medieval Jewish Cabala have
been so regarded. Sources of universal wisdom are traditionally protected from
casual use by being hard to find, hard to understand when found, and dangerous
to use, tending to answer more and deeper questions than the user wishes to
ask. Like God the esoteric book is simple yet undescribable, omniscient, and
transforms all who know It. The use of classical texts to fortell [sic] mundane events
is considered superstitious nowadays, yet, in another sense, science is in quest of
its own Cabala, a concise set of natural laws which would explain all phenomena.
In mathematics, where no set of axioms can hope to prove all true statements,
the goal might be a concise axiomatization of all "interesting" true statements.
      Ω is in many senses a Cabalistic number. It can be known of, but not known,
through human reason. To know it in detail, one would have to accept its un-
computable digit sequence on faith, like words of a sacred text.

The Bennett paper deals with Gregory Chaitin's concept of an "Omega Number."

I prefer the Omega of Josefine Lyche—

Image-- Uncertified copy of 1986 figures by Cullinane in a 2009 art exhibit in Oslo

Click for further details.

See also All Hallows' Eve, 2002.

* Martin Gardner's Mathematical Games  column
"The Random Number Omega Bids Fair to Hold the Mysteries of the Universe,"
Scientific American, November 1979, 241(5), pp. 20–34.
The column is reprinted as "Chaitin's Omega," Ch. 21, pp. 307-319 in the
collection of Gardner's columns titled Fractal Music, Hypercards and More,
W.H. Freeman & Co., 1991

Saturday, May 1, 2010

An Education

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

天鈞

 

Made famous by Ursula K. Le Guin
as the book title "Lathe of Heaven,"
this Chinese phrase, tianjun, apparently
means something more like "Scales of Heaven"–
an appropriate image for Law Day 2010.

Image--Scales (the legal symbol)

An anonymous forum user says that

"…if you switch the two characters around,
you get: 鈞天, which is one of
the nine heavens, more specifically,
the middle heaven."

This is supported by a
non-anonymous source:

"I follow A.C. Graham’s translation of
Juntian as 'Level Heaven (the innermost
of the nine divisions of heaven)';
he renders Juntian guangyue as
'the mighty music of the innermost heaven.'"

— "Music in the World of Su Shi (1037-1101):
Terminology
," by Stuart H. Sargent,
Colorado State University,
Journal of Sung-Yuan Studies 32 (2002), 39-81

The Nine Divisions of Heaven–

Image-- Routledge Encyclopedia of Taoism, Vol. I, on the Nine Heavens, 'jiutian,' ed. by Fabrizio Pregadio

Some context–

The 3x3 ('ninefold') square

"This pattern is a square divided into nine equal parts.
It has been called the 'Holy Field' division and
was used throughout Chinese history for many
different purposes, most of which were connected
with things religious, political, or philosophical."

The Magic Square: Cities in Ancient China,
by Alfred Schinz, Edition Axel Menges, 1996, p. 71

Friday, April 16, 2010

The Craft, continued

Filed under: General — Tags: , — m759 @ 2:22 pm

Image--Movie poster for 'The Craft'

"Honesty's the best policy."
— Miguel de Cervantes   

"Liars prosper."
— Anonymous   

— Epigraphs to On Writing:
A Memoir of the Craft
,
by Stephen King

Lavender Blue,
Dilly, Dilly,
Lavender Green…
Image-- Spacek as Carrie

The cruelest month continues…

"…as Newton conceived it, the distinction between
the individualities of two particles is so marked that
it is impossible for them ever to coincide or for
either of them to alter the being of the other…."

"Waves interfere with each other because they are
interchangeable and thus not distinguishable;
two processes can coincide in space and time
but two substances cannot. Thus the wave
reveals a whole new possibility of identity…."

"The concept of a field is elusive."

— Peter Pesic, Seeing Double: Shared Identities
in Physics, Philosophy, and Literature
,
Chapter 6, "The Fields of Light"

Monday, December 14, 2009

Peer Review at Wikipedia

Filed under: General,Geometry — m759 @ 5:40 pm

Recent Wikipedia activity in the area of finite geometry–

A list, complete up to now, of all Wikipedia changes made by anonymous user Marconet:

Note that all these items are related to changes in links that lead to my own web pages– with one exception, rather technical pages on finite geometry.

A list, complete up to now, of all Wikipedia changes made by anonymous user Greenfernglade:

Again, all these items are related to changes (in this case, deletions) in links that lead to my own web pages. Greenfernglade may or may not be the same person as Marconet. Neither one has a user home page at Wikipedia, but use of the pseudonyms has apparently served to cover up the IP address(es?) of the changes’ originator(s?).

For similar changes in the past, see my “user talk” page at Wikipedia. As I noted there on May 31, 2007, “There seems little point in protesting the deletions while Wikipedia still allows any anonymous user to change their articles.”

Thursday, December 3, 2009

Out of What Chaos

Filed under: General — Tags: — m759 @ 2:28 pm

Mathematics and Narrative, continued…

Out of What Chaos, a novel by Lee Oser

"This book is more or less what one would expect if Walker Percy wrote about a cynical rock musician who converts to Catholicism, and then Nabokov added some of his verbal pyrotechnics, and then Buster Keaton and the Marquis de Sade and Lionel Trilling inserted a few extra passages. It is a loving and yet appalled description of the underground music scene in the Pacific Northwest. And it is a convincing representation of someone very, very smart."

Matt Greenfield in The Valve

"If Evelyn Waugh had lived amid the American Northwest rock music scene, he might have written a book like this."

–Anonymous Amazon.com reviewer

A possible source for Oser's title–

"…Lytton Strachey described Pope's theme as 'civilization illumined by animosity; such was the passionate and complicated material from which he wove his patterns of balanced precision and polished clarity.' But out of what chaos did that clarity and precision come!"

Authors at Work, by  Herman W. Liebert and Robert H. Taylor, New York, Grolier Club, 1957, p. 16

Related material:

Unthought Known

Pearl Jam 'Backspacer' album released Sept. 20, 2009

and the

Catholic Analyst's Couch, White Cube Gallery, 2002

White Cube Gallery, 2002

Saturday, August 15, 2009

Saturday August 15, 2009

Filed under: General — m759 @ 11:09 am

An Honest Question:

“Did the Catholic Church just jump the shark by electing Cardinal Joseph Ratzinger? This is an honest question… not a slam.”

— Anonymous user at an online forum on April 19, 2005

A Munificent Answer:

No. That leap of faith was taken long before, on November 1, 1950. See the note below.

Catholic Encyclopedia:

“The Feast of the Assumption of the Blessed Virgin Mary, 15 August….

…has a double object: (1) the happy departure of Mary from this life; (2) the assumption of her body into heaven. It is the principal feast of the Blessed Virgin….

Note: By promulgating the Bull Munificentissimus Deus, 1 November, 1950, Pope Pius XII declared infallibly that the Assumption of the Blessed Virgin Mary was a dogma of the Catholic Faith.”

Also on today’s date (AP, Today in History)–

“In 1998, 29 people were killed by a car bomb that tore apart the center of Omagh, Northern Ireland; a splinter group calling itself the Real IRA claimed responsibility.”

On the same day in 1998, The New York Times published Sarah Boxer’s century-end summary:

Think Tank: At the End of
a Century of Philosophizing,
the Answer Is Don’t Ask

Tuesday, July 28, 2009

Tuesday July 28, 2009

Filed under: General — m759 @ 6:00 am
Monumental
Anniversary

Four hundredth anniversary of the Sea Venture's shipwreck at Bermuda

The Associated Press this morning —

“Today’s Highlight in History:

On July 28, 1609, the English ship Sea Venture, commanded by Admiral Sir George Somers, ran ashore on Bermuda after nearly foundering at sea during a storm.”

“… the Sea Venture story is two tales in one. There’s the hurricane at sea, and then there is the Bermuda wreck becoming an inspiration for ‘The Tempest.’ The first is one of the most dramatic adventures of the era, and the second is a fascinating detective story.”

Robert Sean Brazil, scholar


“It has been a commonplace in English literary criticism that Shakespeare’s play, ‘The Tempest,’ was modeled on these accounts…. However, this common wisdom is almost certainly a falsity. A monumental error.”
Related material:

Plot summary by “Anonymous” at imdb.com of a feminist film version of “The Tempest” (now in post-production):

“In Julie Taymor’s version of ‘The Tempest,’ the gender of Prospero has been switched to Prospera. Going back to the 16th or 17th century, women practicing the magical arts of alchemy were often convicted of witchcraft.”

Taymor’s “Tempest” stars, as Prospera, the famed portrayer of monarchs Helen Mirren. Another work dealing with alchemy suitable for Mirren (who is also known as Detective Inspector Jane Tennison):

The Eight, by Katherine Neville, is perhaps the greatest bad novel of the twentieth century. If it were made into a movie, who should be cast as the Black Queen? (“…the dignified silver-haired woman danced sinuously…” — p. 241)


'Prime Suspect'-- Helen Mirren as Inspector Tennison

Thursday, April 23, 2009

Thursday April 23, 2009

Filed under: General — Tags: — m759 @ 5:24 pm
Star Quality

Eight-pointed star, background image for the E! Online logo

This deliberately cryptic entry is to thank an anonymous reader in Sweden for the following footprint:

Sweden
Speedy
…&uid=37798719 4/23/2009
4:33 PM

“Speedy” is the browser name supplied to the server. The link is to a Columbus Day, 2003, entry with the song phrase “spinnin’ wheel, spinnin’ true.” The time is Eastern Daylight.

Related material:

Vide today’s midday PA lottery number, 177, the 1919 edition of The Oxford Book of English Verse, and the time (interpreted, in a Joycean manner, as a date) of this morning’s first entry.

Happy birthday to Judy Davis
and happy Day of the Book.

Oxford Book of English Verse 1250-1900

Sunday, October 5, 2008

Sunday October 5, 2008

Filed under: General — Tags: — m759 @ 4:23 pm
Nash Equilibrium or:
To Make a Short Story Long

Last night's entry presented a
short story summarized by
four lottery numbers.

Today's mid-day lotteries
and associated material:

Pennsylvania, 201– i.e., 2/01:
Kindergarten Theology

Theologian James Edwin Loder:

"In a game of chess, the knight's move is unique because it alone goes around corners. In this way, it combines the continuity of a set sequence with the discontinuity of an unpredictable turn in the middle. This meaningful combination of continuity and discontinuity in an otherwise linear set of possibilities has led some to refer to the creative act of discovery in any field of research as a 'knight's move' in intelligence."

New York, 229– i.e., 2/29:
I Have a Dreamtime

"One must join forces with friends of like mind"

Related material:

Terence McKenna:

"Schizophrenia is not a psychological disorder peculiar to human beings. Schizophrenia is not a disease at all but rather a localized traveling discontinuity of the space time matrix itself. It is like a travelling whirl-wind of radical understanding that haunts time. It haunts time in the same way that Alfred North Whitehead said that the color dove grey 'haunts time like a ghost.'"

Anonymous author:

"'Knight's move thinking' is a psychiatric term describing a thought disorder where in speech the usual logical sequence of ideas is lost, the sufferer jumping from one idea to another with no apparent connection. It is most commonly found in schizophrenia."

Star Wars:
 
John Nash, as portrayed by Russell Crowe

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

For more on the sleep of Apollo,
see the front page of today's
New York Times Book Review.

Garrison Keillor's piece there,
"Dying of the Light," is
about the fear of death felt
by an agnostic British twit.

For relevant remarks by
a British non-twit, see
William Dunbar–

Timor Mortis conturbat me.

Sunday, July 6, 2008

Sunday July 6, 2008

Filed under: General — m759 @ 9:00 am
The Pursuit of Happyness

“Remember that we deal with
Mary Chapin Carpenter —
cunning, baffling, and powerful.”

— Saying adapted
from the Big Book of
Alcoholics Anonymous

Mary Chapin Carpenter sings 'I Am a Town'

“I’m Pabst Blue Ribbon, American.”

Barack Obama hoists a Pabst at the Raleigh Times Bar in Raleigh, North Carolina, on May 6, 2008

The Telegraph, May 7, 2008

Former U.S. Senator Jesse Helms

was city editor at the Raleigh Times.

See the Fourth of July
.

SHOE cartoon, Sunday, July 6, 2008: At a bar, a patron to the editor: 'Each day is a gift.' Editor: 'Oh? Then where do I go to return last Thursday?'

See also last Thursday.

Friday, April 11, 2008

Friday April 11, 2008

Filed under: General — m759 @ 8:35 am
Pegasus

With thanks to my
anonymous reader(s?)
in France:

NYT obituaries, morning of Friday, April 11, 2008-- Carousel designer and others

Click on image for further details.

Ride a painted pony
let the spinning
wheel spin
.

Sunday, March 30, 2008

Sunday March 30, 2008

Filed under: General — m759 @ 3:14 pm
The Thing Itself

From a summary of Sartre’s Being and Nothingness:

“The human can never know being as it truly is, for to do that, one would have to be the thing itself. To know a rock, we have to be the rock (and of course, the rock, as a being-in-itself, lacks consciousness). Yet the being-for-itself sees and intuits the world through what is not present. In this way, the being-for-itself, already wholly free, also possesses the power of imagination. Even if absolute beauty (to Sartre, the absolute union of being and consciousness) cannot be apprehended, knowing it through its absence, as in the way one feels the emptiness left by a departed loved one, is its own truth.”

— Anonymous author at sparknotes.com

Saturday, March 1, 2008

Saturday March 1, 2008

Filed under: General — m759 @ 11:02 am

Doonesbury 2/29/08-- Assignment: Identify Sources

Heraclitus: '...so deep is its logos'

— Heraclitus in
   Death by Philosophy,
   by Ava Chitwood

Related material:


International Journal of the Classical Tradition

“Ava Chitwood, ‘The Anonymous Philosopher of Charles Frazier’s Cold Mountain: A Heraclitean Hero in a Homeric World,’ IJCT 11 (2004-2005), pp. 232-243.

1997’s surprise best-seller, Cold Mountain, is the first novel of North Carolina native and travel writer, Charles Frazier. Two ancient Greek authors shape and drive the novel, set in the post-war Southern Appalachians of 1865. Homer’s Odyssey frames the novel: the hero Inman undergoes epic adventures after the war, has his own Penelope waiting, and travels back to a land as remote as any island, Cold Mountain, North Carolina. But fragments of an anonymous philosopher who can be identified as Heraclitus alienate Inman from the Homeric world around him and determine his fate. Ada, his Penelope, also casts off her shroud of tradition: impatient with the ‘glorious war,’ no longer content to wait, Ada plunges into the new business of living. And just as the archaic, post-Homeric Greek world produced new ways of living and thought, as exemplified by Heraclitus, so too does the post-bellum world of Cold Mountain, as exemplified by Inman and Ada; their struggle, and the novel’s tension, speak to and about all those caught between two worlds, epic and philosophic, whether driven by love or strife.”

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:

Thursday, October 25, 2007

Thursday October 25, 2007

Filed under: General,Geometry — Tags: — m759 @ 9:19 am

Something Anonymous

From this date–
Picasso's birthday–
five years ago:
 
"A work of art has an author
and yet,
when it is perfect,
it has something
which is
essentially anonymous about it."

Simone Weil, Gravity and Grace   

 
Michelangelo's birthday, 2003

4x4 square grid

Yesterday:

The color-analogy figures of Descartes

Nineteenth-century quilt design:

Tents of Armageddon quilt design

Related material:

Battlefield Geometry
 

Thursday, June 14, 2007

Thursday June 14, 2007

Filed under: General,Geometry — Tags: — m759 @ 4:00 pm
A Flag for Sunset

"Kurt Waldheim, the former United Nations Secretary General and President of Austria whose hidden ties to Nazi organizations and war crimes was [sic] exposed late in his career, died today at his home in Vienna. He was 88." —The New York Times this afternoon
 

Related material:

From a story by
Leonard Michaels
linked to on
Aaron Sorkin's
birthday, June 9:

"Induction and analogy, in which he was highly gifted, were critical to mathematical intelligence.

It has been said that the unexamined life isn't worth living. Nachman wasn't against examining his life, but then what was a life? ….

… As for 'a life,' it was what you read about in newspaper obituaries. He didn't need one. He would return to California and think only about mathematics."

Mathematics:

1.  A quotation from George Polya,
     the author of
     Induction and Analogy
     in Mathematics

2.  A quotation from an anonymous
     Internet user signed
     "George Polya"–
     "Steven Cullinane is a Liar."

3.  L'Affaire Dharwadker continues
     (May 31, 2007)

4.  Geometry for Jews

The image “http://log24.com/theory/images/070614-Whirl.gif” cannot be displayed, because it contains errors.

"One two three four,
who are we for?"

 

Thursday, June 7, 2007

Thursday June 7, 2007

Filed under: General — Tags: — m759 @ 4:15 pm
Framing
truth

On "framing" and "spin"
in journalism:

"… Packaging is unavoidable.
Facts rarely, if ever, 
  speak for themselves."

Matthew C. Nisbet,  
Assistant Professor
  of "Communication,"
June 6, 2007

If they could, they might
say "We was framed!"

Facts cannot, of course,
speak for themselves
to those who do not
understand their language.

Example:

A picture that appeared in
Log24 on June 7, 2005:

Natural Transformation

Click for details.

Attempt to
frame the picture:

Analogies

"A functor is an analogy."
— Anonymous

  The best mathematicians "see
analogies between analogies."
Banach, according to Ulam 

For further details,
click on the link
"Analogies" above.

See also the analogies in
the previous entry.

Thursday, May 31, 2007

Thursday May 31, 2007

Filed under: General,Geometry — Tags: , — m759 @ 8:06 pm

Blitz by anonymous
New Delhi user

From Wikipedia on 31 May, 2007:

Shown below is a list of 25 alterations to Wikipedia math articles made today by user 122.163.102.246.

All of the alterations involve removal of links placed by user Cullinane (myself).

The 122.163… IP address is from an internet service provider in New Delhi, India.

The New Delhi anonymous user was apparently inspired by an earlier blitz by Wikipedia administrator Charles Matthews. (See User talk: Cullinane.)

Related material:

Ashay Dharwadker and Usenet Postings
and Talk: Four color theorem/Archive 2.
See also some recent comments from 122.163…
at Talk: Four color theorem.

May 31, 2007, alterations by
user 122.163.102.246:

  1. 17:17 Orthogonality (rm spam)
  2. 17:16 Symmetry group (rm spam)
  3. 17:14 Boolean algebra (rm spam)
  4. 17:12 Permutation (rm spam)
  5. 17:10 Boolean logic (rm spam)
  6. 17:08 Gestalt psychology (rm spam)
  7. 17:05 Tesseract (rm spam)
  8. 17:02 Square (geometry) (rm spam)
  9. 17:00 Fano plane (rm spam)
  10. 16:55 Binary Golay code (rm spam)
  11. 16:53 Finite group (rm spam)
  12. 16:52 Quaternion group (rm spam)
  13. 16:50 Logical connective (rm spam)
  14. 16:48 Mathieu group (rm spam)
  15. 16:45 Tutte–Coxeter graph (rm spam)
  16. 16:42 Steiner system (rm spam)
  17. 16:40 Kaleidoscope (rm spam)
  18. 16:38 Efforts to Create A Glass Bead Game (rm spam)
  19. 16:36 Block design (rm spam)
  20. 16:35 Walsh function (rm spam)
  21. 16:24 Latin square (rm spam)
  22. 16:21 Finite geometry (rm spam)
  23. 16:17 PSL(2,7) (rm spam)
  24. 16:14 Translation plane (rm spam)
  25. 16:13 Block design test (rm spam)

The deletions should please Charles Matthews and fans of Ashay Dharwadker’s work as a four-color theorem enthusiast and as editor of the Open Directory sections on combinatorics and on graph theory.

There seems little point in protesting the deletions while Wikipedia still allows any anonymous user to change their articles.

Cullinane 23:28, 31 May 2007 (UTC)

Saturday, May 12, 2007

Saturday May 12, 2007

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

Last night's entry "A Midrash for Hollywood" discussed a possible interpretation of yesterday's Pennsylvania Lottery numbers– mid-day 384, evening 952.

In memory of a blacklisted Hollywood screenwriter who died yesterday, here is another interpretation of those numbers.

First, though, it seems appropriate to quote again the anonymous source from "Heaven, Hell, and Hollywood" on screenwriters– "You can be replaced by some Ping Pong balls and a dictionary."  An example was given illustrating this saying.  Here is another example:

Yesterday's PA lottery numbers in the dictionary–

Webster's New World Dictionary,
College Edition, 1960–

Page 384: "Defender of the Faith"
Related Log24 entries:
"To Announce a Faith," Halloween 2006,
and earlier Log24 entries from
that year's Halloween season

Page 952: "monolith"
Related Log24 entries:
"Shema, Israel," and "Punch Line"
(with the four entries that preceded it).

It may not be entirely irrelevant that a headline in last night's entry– "Lonesome No More!"– was linked to a discussion of Kurt Vonnegut's Slapstick, that a film version of that novel starred Jerry Lewis, and that yesterday afternoon's entry quoted a vision of "an Ingmar Bergman script as directed by Jerry Lewis."

 

See also April 7, 2003:

 

April is Math Awareness Month.
This year's theme is "mathematics and art."

"Art isn't easy."
— Stephen Sondheim    

Wednesday, August 30, 2006

Wednesday August 30, 2006

Filed under: General — m759 @ 7:00 pm

Seven

“Research & Ideas” memo from Harvard Business School dated April 17, 2006:

“The word experience comes from the Latin words ex pericolo, which mean ‘from danger.'”

— Etymology by Professor Joseph Badaracco of Harvard University.  Badaracco gives no evidence for his dubious claim.

Related (if only temporally):
Easter Monday, April 17, 2006.

experience

1377, from O.Fr. experience, from L. experientia “knowledge gained by repeated trials,” from experientem (nom. experiens), prp. of experiri “to try, test,” from ex- “out of” + peritus “experienced, tested.” The v. (1533) first meant “to test, try;” sense of “feel, undergo” first recorded 1588.

      — Online Etymology Dictionary

The title of this entry refers to the time it was posted. Related references to seven: April 7, 2003, and today’s previous entry.

See also an entry from 2/29, 2004
(Leap Day and Oscar Night):

Vita Brevis

“In many ways, the arts are the highest achievements of man.”

— Harvard President
   Lawrence H. Summers,
   Feb. 26, 2004 

”We intensively train children in the Arts and ritual because deep down we know that these are the only things that really MATTER. This is what we must share first with the young, in case they DIE.”

— Lucy Ellmann, Dot in the Universe, quoted in today’s [2/29/04] New York Times

Harvard persons from parts of the university that are more scholarly than the Business School may sneer at the above-quoted Online Etymology Dictionary.  They can consult the following:

On “experience”

From J.L. Austin, From Ritual to Theatre: The Human Seriousness of Play:

“Scholars, such as Julius Pokorny (Indogermanisches Etymolgisches Worterbuch, 1959), trace ‘experience’ right back to hypothetical Indo-European base or root *per-, ‘to attempt, venture, risk,’ whence the Greek peira,”experience,” the source of our word ’empirical.’ It is also the verbal root which derives the Germanic *feraz, giving rise to Old English faer, “danger, sudden calamity,” whence Modern English ‘fear.’ Already, we see the ‘cognitive’ directions taken by * per-, through the Greek route, and affective ones, through the Germanic — which would have interested Dilthey, one may be sure! But more directly ‘experience’ derives, via Middle English and Old French, from the Latin experientia, denoting ‘trial, proof, experiment,’ itself generated from experiens, the present participle of experiri, ‘to try, test,’ from from ex-, ‘out’ + base per as in peritus, ‘experienced,’ ‘having learned by trying.’ The suffixed extended form of *per is peri-tlo-, whence the Latin periclum, periculum, “trial, danger, peril. Once more, we find experience linked with risk, straining towards ‘drama,’ crisis, rather than bland cognitive learning!”

“… Finally, ‘experiment,’ like ‘experience,’ is derived from Latin experiri “to try or test.” If we put these various senses together we have a ‘laminated’ semantic system focused on ‘experience,’ which portrays it as a journey, a test (of self, of suppositions about others), a ritual passage, an exposure to peril or risk, a source of fear. By means of experience, we ‘fare’ ‘fearfully’ through ‘perils,’ taking ‘experimental’ steps. …” (17-18)

The above is taken from an anonymous weblog entry.  The author of the entry identified the source as From Ritual to Theatre: The Human Seriousness of Play.  The author of the entry falsely stated that the author of this book was J. L. Austin.  In fact, the book was written by Victor Turner, apparently the same philosophical sociologist whom we encountered in the previous entry and in the Log24 entry for the recent feast of St. Max Black.  Turner may have been quoting Austin; pages from the book are not available online.  Another author, however, says the quotation is by Turner himself.  See Rena Fraden’s Imagining Medea, pp. 218-219.

Today’s previous entry is a sort of “ritual passage” for a Nobel Prize winner. For a ritual passage more directly related to Professor Badaracco, see the Brookline TAB obituary of his 23-year-old daughter, who died on Monday, August 21, 2006.  According to today’s online Harvard Crimson, “she was walking along Hammond Street in Newton [Mass.] when an 84-year-old driver jumped the curb and struck her.”

From her Brookline TAB obituary of Thursday, Aug. 24, 2006:

“Funeral services will be held Friday [Aug. 25, 2006] at 10 a.m. at St. Mary’s of the Assumption Church, at 67 Harvard St.

The family asks that in lieu of flowers, donations be made to the Centro Romero Community Center in Chicago: 6216 N. Clark St., Chicago, IL 60660.”

Wednesday, August 9, 2006

Wednesday August 9, 2006

Filed under: General — Tags: — m759 @ 2:02 pm
Two-Bar Hook
 

Wikipedia on Mel Gibson:

"The arrest was supported by…
an open container… 75% full,
labeled 'Cazador [sic] tequila'
(a strong type of mezcal)."

Today's New York Times:

Refined Tequilas,
Meant to be Savored:

The image “http://www.log24.com/log/pix06A/060809-Bottle.jpg” cannot be displayed, because it contains errors.
 
Photo by Lars Klove for
The New York Times

— Essay by Eric Asimov,
  "Spirits of the Times"

"Remember that we deal with
Herb Alpert–

The image “http://www.log24.com/log/pix06A/060809-Alpert.jpg” cannot be displayed, because it contains errors.
First album, 1962

cunning, baffling, and powerful."

(Adapted from Chapter 5
of Alcoholics Anonymous)

Related Material:

"Tequila,"
by The Champs
(1958)

The Spirituality of
Addiction and Recovery

Kylie on Tequila:

"Turns out she's a party girl
who loves Tequila:
'Time disappears with Tequila.
It goes elastic, then vanishes.'"

Yvonne returns to the Bella Vista
in Under the Volcano:

"… a glass partition
that divided the room
(from yet another bar,
she remembered now,
giving on a side street)"

David Sanborn
(a reply to Alpert's
Lonely Bull ):

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

"Just listen to how he attacks the two-bar hook of  'Tequila.' After planting it firmly in our brains, he finds new ending notes for each measure; then he drops half a bar by an octave; then he substitutes a new melodic detour for the first bar, retaining the second; then he inverts that approach. He keeps twisting the phrase into new melodic shapes, but he never obscures the original motif and he never loses the beat."

Review of Sanborn's album "Timeagain"
    by Geoffrey Himes in Jazz Times,
    June 2003

Update of 3:57 PM:
Robin Williams in Rehab

"It may be that Kylie is,
in her own way, an artist…
with a 357."

Symmetry and Change

Monday, June 19, 2006

Monday June 19, 2006

Filed under: General — m759 @ 4:00 pm

Snippets:
A Reply to John Updike

See Updike on digitized snippets.

The following four snippets were pirated from the end of MathPages Quotations, compiled by Kevin Brown.

They are of synchronistic interest in view of the previous two Log24 entries, which referred (implicitly) to a Poe story and (explicitly) to Pascal.

"That is another of your odd notions,"
said the Prefect, who had the fashion
of calling everything 'odd' that was
beyond his comprehension, and thus
lived amid an absolute legion of 'oddities.'
Edgar Allan Poe

I knew when seven justices could not
take up a quarrel, but when the parties
were met themselves, one of them
thought but of an If, as, 'If you said so,
then I said so'; and they shook hands
and swore brothers. Your If is the only
peacemaker; much virtue in If.
Shakespeare

I have made this letter longer than usual
because I lack the time to make it shorter.
Blaise Pascal

S'io credessi che mia risposta fosse
a persona che mai tornasse al mondo,
questa fiamma staria senza piu scosse.
Ma per cio che giammai di questo fondo
non torno vivo alcun, s'i'odo il vero,
senza tema d'infamia ti rispondo.
Dante, 1302

For translations of the Dante (including one by Dorothy Sayers), see everything2.com.

An anonymous author there notes that Dante describes a flame in which is encased a damned soul. The flame vibrates as the soul speaks:

If I thought that I were making
Answer to one that might return to view
The world, this flame should evermore
cease shaking.

But since from this abyss, if I hear true,
None ever came alive, I have no fear
Of infamy, but give thee answer due.

-- Dante, Inferno, Canto 27, lines 61-66,
translated by Dorothy Sayers

Updike says,

“Yes, there is a ton of information on the web but much of it is grievously inaccurate, unedited, unattributed and juvenile. The electronic marvels that abound around us serve, I have the impression, to inflame what is most informally and non-critically human about us. Our computer screens stare back at us with a kind of giant, instant aw-shucks, disarming in its modesty.”

Note Updike’s use of “inflame.”

For an aw-shucks version of “what is most informally and non-critically human about us,” as well as a theological flame, see both the previous entry and the above report from Hell.

Note that the web serves also to correct material that is inaccurate, unedited, unattributed, and juvenile. For examples, see Mathematics and Narrative. The combination of today’s entry for Pascal’s birthday with that web page serves both to light one candle and to curse the darkness.

Thursday, March 2, 2006

Thursday March 2, 2006

Filed under: General,Geometry — m759 @ 1:06 pm
Father Figure

Women’s History Month
continues…

“My father is, of course,
as mad as a hatter.”

— Diana Rigg in “The Hospital,”
as transcribed at
script-o-rama.com

The image “http://www.log24.com/log/pix06/060302-Eureka.jpg” cannot be displayed, because it contains errors.

“A vesicle pisces* is the name that author Philip K. Dick gave to a symbol he saw (on February 2**, 1974) on the necklace of a delivery woman.

PKD was probably conflating the names of two related symbols, the ichthys consisting of two intersecting arcs resembling the profile of a fish… used by the early Christians as a secret symbol, and the vesica piscis, from the centre of which the ichthys symbol can be drawn.”

Wikipedia

Related material at Wikipedia:

Related material at Log24:

Related material elsewhere:

* Wikipedia’s earliest online history for this incorrect phrase is from 25 November, 2003, when the phrase was attributed to Dick by an anonymous Wikipedia user, 216.221.81.98, who at that time apparently did not know the correct phrase, “vesica piscis,” which was later supplied (16 February, 2004) by an anonymous user (perhaps the same as the first user, perhaps not) at a different IP address, 217.158.203.103Wikipedia authors have never supplied a source for the alleged use of the phrase by Dick. This comedy of errors would be of little interest were it not for its strong resemblance to the writing process that resulted in what we now call the Bible.

** Other accounts (for instance, Divine Invasions: A Life of Philip K. Dick, by Lawrence Sutin,  Carroll & Graf paperback (copyright 1989, republished on August 9, 2005), page 210) say Dick’s encounter was not on Groundhog Day (also known as Candlemas), but rather on February 20, 1974.

Wednesday, January 11, 2006

Wednesday January 11, 2006

Filed under: General — m759 @ 4:09 am
Chick Flicks
The image “http://www.log24.com/log/pix06/060111-Hen1a.jpg” cannot be displayed, because it contains errors.

From NT Gateway Weblog,
Sunday, Nov. 6, 2005:

Question:
 What does Chicken Little
have in common with
The Passion of the Christ?

An anonymous commenter’s answer: “The title character announces the coming of the end, suffers mockery and condemnation, and ends up saving the world through his actions.”

(The “real” answer: “The music for each was composed by John Debney.”)

Related sermon:
Click on the chicken.

Related hymn:

  “Till Armageddon,
no Shalam, no Shalom.
Then the father hen will
  call his chickens home.”

— Johnny Cash

Monday, October 17, 2005

Monday October 17, 2005

Filed under: General — m759 @ 1:00 pm

Place

“Critics have compared Mr. Stone to Conrad, Faulkner, Hemingway, Graham Greene, Malcolm Lowry, Nathanael West; all apt enough, but there’s a James T. Farrell, Raymond Chandler, Dashiell Hammett strain as well – a hard-edged, lonely intelligence that sets bright promise off against stark failure and deals its mordant hand lightly. In A Flag for Sunrise (1981), an anthropologist observes: ‘There’s always a place for God. . . . There is some question as to whether He’s in it.'”

—  Jean Strouse on Robert Stone

“When times are mysterious
Serious numbers will always be heard
And after all is said and done
And the numbers all come home
The four rolls into three
The three turns into two
And the two becomes a
One”

— Paul Simon,
    “When Numbers Get Serious,” from
    “Hearts and Bones”  album, 1983

“Hickory Dickory Dock….”

Anonymous folk tune

Tuesday, July 12, 2005

Tuesday July 12, 2005

Filed under: General,Geometry — Tags: — m759 @ 2:08 am

Reply to my fan mail

Discussions in Internet forums indicate that at least three people seem deeply interested in my work in finite geometry:

  1. Someone falsely using the name of R. T. Curtis, a U. of Birmingham group theorist,
  2. Someone falsely using the name of George Polya, a deceased mathematician, and
  3. Someone using the nickname crankbuster.

Unfortunately, remarks posted under these names are all extremely negative.  This is understandable, given that the author or authors have completely failed to comprehend what I was getting at.  Actually, I suspect that all three authors are the same person, who was inspired to bitter hatred by my negative review of an attempted proof of the four-color theorem.  I do not suspect the author of that attempted proof, but rather one of his countrymen; attacks posted using the forged name “R. T. Curtis” were posted from an address somewhere in Bombay, and “crankbuster” claims to be posting from Sri Lanka.

As the real R. T. Curtis has noted, “If someone is deliberately using my name to attack Steven Cullinane anonymously, it shows malice and cowardice unusual in the mathematical world.”  At least my anonymous fan has, it seems, stopped using other people’s names to hide behind… although the latest attacks, under the name “crankbuster,” seem to be trying to imply, falsely, a connection with the Crank Dot Net website.

Thursday, June 16, 2005

Thursday June 16, 2005

Filed under: General — Tags: — m759 @ 2:02 pm
Final Arrangements, continued:

"Joe Strauss to
Joe Six-Pack"

(Editor's sneering headline
for a David Brooks essay
in today's New York Times)
and Back Again

"I was emptying some boxes in my basement the other day and I came across an essay somebody had clipped on Ernest Hemingway from the July 14, 1961, issue of Time magazine. The essay was outstanding. Over three pages of tightly packed prose, with just a few photos, the anonymous author performed the sort of high-toned but accessible literary analysis that would be much harder to find in a mass market magazine today….

The sad thing is that this type of essay was not unusual in that era….

The magazines would devote pages to the work of theologians like Abraham Joshua Heschel* or Reinhold Niebuhr. They devoted as much space to opera as to movies because an educated person was expected to know something about opera, even if that person had no prospect of actually seeing one….

Back in the late 1950's and early 1960's, middlebrow culture, which is really high-toned popular culture, was thriving in America. There was still a sense that culture is good for your character, and that a respectable person should spend time absorbing the best that has been thought and said."

— David Brooks,
   The New York Times,
   June 16, 2005

The Time essay begins by quoting Hemingway himself:

"All stories,
 if continued far enough,
 end in death,
 and he is no true storyteller
 who would keep that from you."

Here is the top section of today's
New York Times obituaries.
 
The image “http://www.log24.com/log/pix05A/050616-NYTobits.jpg” cannot be displayed, because it contains errors.

Here is the
middlebrow part —

The image “http://www.log24.com/log/pix05A/050616-NYTbrow.jpg” cannot be displayed, because it contains errors.
Esteemed Conductor
Dies at 91

— and here is a link that returns,
as promised in this entry's headline,
to "Joe Strauss"
complete with polkas.

*  "Judaism is a religion of time, not space."
    — Wikipedia on Heschel.
    See the recent Log24 entries
    Star Wars continued,
    Dark City, and
    Cross-Referenced, and last year's
    Bloomsday at 100.

Saturday, June 11, 2005

Saturday June 11, 2005

Filed under: General — m759 @ 3:11 am

The Last Word

Beethoven Week on the BBC ended at midnight June 10.

“With Beethoven, music did not grow up, it regressed to adolescence. He was a hooligan who could reduce Schiller’s Ode to Joy to madness, bloodlust, and megalomania.”

Arts and Letters Daily, lead-in to an opinion piece in The Guardian of Tuesday, June 7, 2005:

Beethoven Was a Narcissistic Hooligan

“If Beethoven had dedicated his obvious talents to serving the noble Pythagorean view of music, he might well have gone on to compose music even greater than that of Mozart. You can hear this potential in his early string quartets, where the movements often have neat conclusions and there is a playfulness reminiscent of Mozart or Haydn. If only Beethoven had nourished these tender shoots instead of the darker elements that one can also hear. For the darkness is already evident in the early quartets too, in their sombre harmonies and sudden key changes. As it was, however, his darker side won out; compare, for example, the late string quartets. Here the youthful humour has completely vanished; the occasional signs of optimism quickly die out moments after they appear and the movements sometimes end in uncomfortably inconclusive cadences….

In A Clockwork Orange it is the fourth movement of Beethoven’s Ninth Symphony that echoes in the mind of Alex whenever he indulges in one of his orgies of violence. Alex’s reaction may be rather extreme, but he is responding to something that is already there in this dark and frenzied setting of Schiller’s Ode to Joy; the joy it invites one to feel is the joy of madness, bloodlust and megalomania. It is glorious music, and seductive, but the passions it stirs up are dark and menacing.”

The image “http://www.log24.com/log/pix05A/050611-Clock.jpg” cannot be displayed, because it contains errors.

Dylan Evans, former Lacanian psychotherapist (pdf) and now head of the undergraduate robotics program at the University of the West of England.

Speak for yourself, Dylan.

“Evil did not have the last word.”

—  Richard John Neuhaus, April 4, 2005

Evil may have had the last word in Tuesday’s Guardian, but now that Beethoven Week has ended, it seems time for another word.

For another view of Beethoven, in particular the late quartets, see the Log24 Beethoven’s Birthday entry of December 16, 2002:

Beethoven’s Birthday

“Ludwig van Beethoven’s String Quartet in A Minor, Opus 132, is one of the transcendent masterworks of the Western classical tradition. It is built around its luminous third movement, titled ‘Holy song of thanksgiving by one recovering from an illness.’

In this third movement, the aging Beethoven speaks, clearly and distinctly, in a voice seemingly meant both for all the world and for each individual who listens to it. The music, written in the ancient Lydian mode, is slow and grave and somehow both a struggle and a celebration at the same time.

This is music written by a supreme master at the height of his art, saying that through all illness, tribulation and sorrow there is a strength, there is a light, there is a hope.”

—  Andrew Lindemann Malone

“Eliot’s final poetic achievement—and, for many, his greatest—is the set of four poems published together in 1943 as Four Quartets…. Structurally—though the analogy is a loose one—Eliot modeled the Quartets on the late string quartets of Beethoven, especially… the A Minor Quartet; as early as 1931 he had written the poet Stephen Spender, ‘I have the A Minor Quartet on the gramophone, and I find it quite inexhaustible to study. There is a sort of heavenly or at least more than human gaiety about some of his later things which one imagines might come to oneself as the fruit of reconciliation and relief after immense suffering; I should like to get something of that into verse before I die.'”

— Anonymous author at a
Longman Publishers website

“Each of the late quartets has a unique structure, and the structure of the Quartet in A Minor is one of the most striking of all. Its five movements form an arch. At the center is a stunning slow movement that lasts nearly half the length of the entire quartet…

The third movement (Molto adagio) has a remarkable heading: in the score Beethoven titles it ‘Hymn of Thanksgiving to the Godhead from an Invalid,’ a clear reflection of the illness he had just come through. This is a variation movement, and Beethoven lays out the slow opening section, full of heartfelt music. But suddenly the music switches to D major and leaps ahead brightly; Beethoven marks this section ‘Feeling New Strength.’ These two sections alternate through this movement (the form is A-B-A-B-A), and the opening section is so varied on each reappearance that it seems to take on an entirely different character each time: each section is distinct, and each is moving in its own way (Beethoven marks the third ‘With the greatest feeling’). This movement has seemed to many listeners the greatest music Beethoven ever wrote. and perhaps the problem of all who try to write about this music is precisely that it cannot be described in words and should be experienced simply as music.”

—  Eric Bromberger,
Borromeo Quartet program notes 

In accordance with these passages, here is a web page with excellent transcriptions for piano by Steven Edwards of Beethoven’s late quartets:

The 16 String Quartets.

Our site music for today, Beethoven’s String Quartet No. 15 in A Minor, Opus 132, Movement 3 (1825), is taken from this web page.

See also the previous entry.
 

Sunday, February 27, 2005

Sunday February 27, 2005

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

Necessity

The image “http://www.log24.com/log/pix05/050227-Tie4.jpg” cannot be displayed, because it contains errors.

Above: Detail from an editor’s necktie
on the New York Times  obituary page
of Sunday, Feb. 27, 2005:

The image “http://www.log24.com/log/pix05/050227-Obits.jpg” cannot be displayed, because it contains errors.

“The form, the pattern”
T. S. Eliot

“We symbolize logical necessity
with the box (box.gif (75 bytes))….”
Keith Allen Korcz

“4 x 4 = 16”
Anonymous

“Es muss sein!”
Beethoven

Saturday, February 26, 2005

Saturday February 26, 2005

Filed under: General — m759 @ 1:23 pm

Four Quartets

"The form, the pattern"
— T. S. Eliot

"4 x 4 = 16"
— Anonymous

The image “http://www.log24.com/log/pix05/050226-Quartets.jpg” cannot be displayed, because it contains errors.

Related material:
The Form, the Pattern
and
  1. Opus   18 no. 1:
    String Quartet No.  1 in F major
  2. Opus   18 no. 2:
    String Quartet No.  2 in G major
  3. Opus   18 no. 3:
    String Quartet No.  3 in D major
  4. Opus   18 no. 4:
    String Quartet No.  4 in C minor
  5. Opus   18 no. 5:
    String Quartet No.  5 in A major
  6. Opus   18 no. 6:
    String Quartet No.  6 in B flat major
  7. Opus   59 no. 1:
    String Quartet No.  7 in F major "Rasumovsky 1"
  8. Opus   59 no. 2:
    String Quartet No.  8 in E minor "Rasumovsky 2"
  9. Opus   59 no. 3:
    String Quartet No.  9 in C major "Rasumovsky 3"
  10. Opus   74:        
    String Quartet No. 10 in E flat major "Harp"
  11. Opus   95:        
    String Quartet No. 11 in F minor "Serioso"
  12. Opus 127:        
    String Quartet No. 12 in E flat major
  13. Opus 130:        
    String Quartet No. 13 in B flat major
  14. Opus 131:        
    String Quartet No. 14 in C sharp minor
  15. Opus 132:        
    String Quartet No. 15 in A minor
  16. Opus 135:        
    String Quartet No. 16 in F major

Wednesday, January 5, 2005

Wednesday January 5, 2005

Filed under: General — Tags: , — m759 @ 7:11 am

Death and the Spirit

A meditation for Twelfth Night
on "the whirligig of time"

Today's New York Times obituaries feature two notable graphic artists: 
  • Frank Kelly Freas, who created, among other works, 400 portraits of saints for the Franciscans and the covers of Mad Magazine from 1958 through 1962. "I found it difficult to shift my artistic gears from the sublime to the ridiculous and back again," he said of his departure from Mad.
  • Will Eisner, "an innovative comic-book artist who created the Spirit, a hero without superpowers, and the first modern graphic novel."

Yesterday's entry provided an approach to The Dark Lady, Kali, that was, in Freas's apt word, "ridiculous."  The illustration below, "Mate," is an attempt to balance yesterday's entry with an approach that is, if not sublime, at least more serious.  It is based on a similar illustration from Jan. 31, 2003, with actress Judy Davis playing The Dark Lady.  Today it seems appropriate to replace Davis with another actress (anonymous here, though some may recognize her).  I once knew her (unlike Davis) personally.  One of my fondest memories of high school is reading Mad Magazine with her in the school lunch room.  Our lives diverged after high school, but I could happily have spent my life in her company.

Mate

– S. H. Cullinane, Twelfth Night, 2005

The image “http://log24.com/log/pix05/050105-Mate.jpg” cannot be displayed, because it contains errors.

A diamond and its dual "whirl" figure—
or a "jewel-box and its mate"

For details, see the five Log24 entries
ending on Feb. 1, 2003, and the
perceptive remarks of Ryan Benedetti
on Sam Spade and Brigid O'Shaughnessy.

As for Eisner and "The Spirit,"
which has been called
"the quintessential noir detective series,"
those preferring non-graphic stories
may picture Spade or his creator,
Dashiell Hammett, in the title role.

Then, of course, there are Eisner's later
  story, "A Contract With God,"
  John 4:24, and 1916 4/24.

Friday, October 29, 2004

Friday October 29, 2004

Filed under: General — m759 @ 12:12 pm

Song

"Each epoch has its singer."
Jack London, Oakland, California, 1901

"Anything but the void. And so we keep hoping to luck into a winning combination, to tap into a subtle harmony, trying like lock pickers to negotiate a compromise with the 'mystery tramp,' as Bob Dylan put it…."
— Dennis Overbye, Quantum Baseball,
    New York Times, Oct.  26, 2004

"You said you'd never compromise
With the mystery tramp,
    but now you realize
He's not selling any alibis
As you stare into
    the vacuum of his eyes
And ask him do you want to
    make a deal?"
— Bob Dylan, Like a Rolling Stone

"About a century ago scientists began to realize that beneath the too, too solid veneer of what had passed for reality for 2,000 years there was some pretty funny and fuzzy business going on….

Most of us, I suspect, would rather believe that the devil is running things than that no one is in charge, that our lives, our loves, World Series victories, hang on the whims of fate and chains of coincidences, on God throwing dice, as Einstein once referred to quantum randomness….

[But] we are people, with desires and memories and a sense of humor – not Ping Pong balls."
— Dennis Overbye, Quantum Baseball,
    New York Times, Oct.  26, 2004

"You can be replaced by some Ping Pong balls and a dictionary."
Anonymous source, March 29, 2001

Friday, May 14, 2004

Friday May 14, 2004

Filed under: General — m759 @ 11:01 pm

Popcorn Theology

Today is the birthday of Star Wars director George Lucas and also the date of Frank Sinatra’s death.

Two notes that may be
suitable for the occasion

From All Saints’ Episcopal Church in Atlanta:

POPCORN THEOLOGY
“On Friday, May 14 at 7:00 p.m. in Ellis Hall, Popcorn Theology is pleased to present Chicago. This is a cautionary tale set during the Great Depression of the 1930s, told with sharp satire and black humor.”

From Chicago photographer Art Shay:

His Kind of Town 

 

“We are not saints”
Alcoholics Anonymous

Sunday, November 16, 2003

Sunday November 16, 2003

Filed under: General — m759 @ 2:45 pm

The Empty Center

From Stephen Mitchell, foreword to
The Enlightened Heart:
An Anthology of Sacred Poetry
:

“We dance round in a ring and suppose,
But the Secret sits in the middle
    and knows,”
Robert Frost wrote,
looking in from the outside.
Looking out from the inside,
    Chuang-tzu wrote,
“When we understand, we are at
    the center of the circle,
and there we sit while Yes and No
    chase each other
around the circumference.”
This anonymous center—
which is called God
in Jewish, Christian, and Moslem cultures,
and Tao, Self, or Buddha
in the great Eastern Traditions—
is the realest of realities.

From Wallace Stevens’s
A Primitive Like an Orb:

The essential poem
    at the center of things….

We do not prove
    the existence of the poem.
It is something seen and known
    in lesser poems.

From Namkaran Samskar:

There is only one center in existence;
the ancients used to call it
Tao, Dharma, God.

Those words have become old now;
you can call it Truth.

There is only one center of existence.

Sunday, August 24, 2003

Sunday August 24, 2003

Filed under: General — m759 @ 2:56 pm

Passing the Crown

Today’s New York Times Book Review vilifies author John O’Hara as a “jerk.”  Earlier this week, the Times called him a “lout.”  These attacks amount to a virtual crown of thorns. For commentary on these attacks by the Times (a publication generally more sympathetic to Jews than to Catholics), see

The Crucifixion of John O’Hara.

But there is, to use a term of Harvard philosopher Ralph Waldo Emerson, “compensation.”

Today’s New York Times Magazine paints an excellent portrait of Harvard President Larry Summers.  This portrait, by author James Traub, is less than flattering.  Traub notes that Summers is “a blunt and overbearing figure,” and quotes an anonymous faculty friend of Summers as saying that many on campus “just despise him. The level of the intensity of their dislike for him is just shocking.”

Traub notes that at Harvard, “Despite the protections of tenure, virtually all of Summers’s critics were too afraid of him to be willing to be quoted by name.”

At Yale, however, at least one professor has dared to criticize Summers openly.

In the Boston Globe on August 14, Alex Beam, Globe columnist, quoted Yale music professor John Halle as saying that Summers, an economist, “knows the price of everything and the value of nothing. By all accounts, he is a deeply vulgar individual….”

These remarks suggest the following illustrations, based on today’s Times Book Review and Times Magazine, of a thorny crown being thoughtfully passed to a new generation.

Author O’Hara

President Summers

Friday, June 27, 2003

Friday June 27, 2003

Filed under: General,Geometry — Tags: — m759 @ 6:16 pm

For Fred Sandback:
Time's a Round

The following entry of Feb. 25, 2003, was written for painter Mark Rothko, and may serve as well for minimalist artist Fred Sandback, also connected to the de Menil family of art patrons, who, like Rothko, has killed himself.

Plagued in life by depression — what Styron, quoting Milton, called "darkness visible" — Rothko took his own life on this date [Feb. 25] in 1970.  As a sequel to the previous note, "Song of Not-Self," here are the more cheerful thoughts of the song "Time's a Round," the first of Shiva Dancing: The Rothko Chapel Songs, by C. K. Latham.  See also my comment on the previous entry (7:59 PM).

Time’s a round, time’s a round,
A circle, you see, a circle to be.

— C. K. Latham

 

10/23/02

The following is from the cover of
"Finnegans Wake: a Symposium,"

a reprint of

Our Exagmination Round His Factification
for Incamination of Work in Progress
,

 

Paris, Shakespeare and Company, 1929.

As well as being a memorial to Rothko and Sandback, the above picture may serve to mark the diamond anniversary of a dinner party at Shakespeare and Company on this date in 1928.  (See previous entry.)

A quotation from aaparis.org also seems relevant on this, the date usually given for the death of author Malcolm Lowry, in some of whose footsteps I have walked:

"We are not saints." 

— Chapter V, Alcoholics Anonymous

Tuesday, April 22, 2003

Tuesday April 22, 2003

Filed under: General — m759 @ 4:23 pm

Temptation


Locomotive

The Star
of Venus


Locomotion

In memory of Nina Simone, a singer who died April 21, whose autobiography was titled (after the Screamin’ Jay Hawkins song) I Put a Spell on You, and in honor of Aaron Spelling, producer of “Satan’s School for Girls,” whose birthday is today, I suggest the following three cultural milestones.

First, an accurate, if tasteless, recounting of Scripture at a Christian site that correctly notes that Satan may appear as “an angel of light”… rather like Aaron Spelling?  This site also offers, as background music, a lame parody of the evils of Rock ‘n’ Roll in the form of a midi of “Fire” that would hardly tempt even someone Hell-bent on sinning. 

Second, a book, The Club Dumas, by Arturo Perez-Reverte, the basis of the Roman Polanski film “The Ninth Gate.”  This book is notable for the way it skillfully, and perhaps accurately, depicts Satan as an “angel of light” who does not resemble Aaron Spelling in the least.   This Satan could really tempt me.

Finally, my favorite music video of all time: the 1988 Kylie Minogue “Locomotion.”  If the Devil could now look, sing, and dance like Kylie in 1988, I would be lost.  Fortunately, perhaps, the days when Kylie could make me fall in love with one glance are now over.  Still, if I had to fall, I would much rather do it with Kylie than with Spelling.  As she herself says,  

It’s better the Devil you know.”

For more on Kylie, trains, and death, see the Jan. 3 entry The Shanghai Gesture

The locomotive image is courtesy of a website that may, in view of the subject of this entry, prefer to remain anonymous.

Saturday, April 19, 2003

Saturday April 19, 2003

Filed under: General — Tags: , — m759 @ 2:45 am

Harrowing

In memory of the many who have died on April 19, most notably Octavio Paz.

"There is a suggestion of Christ descending into the abyss for the harrowing of Hell.  But it is the Consul whom we think of here, rather than of Christ."

— Introduction to Malcolm Lowry's classic novel Under the Volcano, by Stephen Spender

"Hey, big Spender, spend a little time
with me." — Song lyric

For a somewhat deeper meditation on time, see Architecture of Eternity.

See also Literature of the Descent into Hell

"Mexico is a solar country — but it is also a black country, a dark country. This duality of Mexico has preoccupied me since I was a child."

Octavio Paz, quoted by Homero Aridjis

Amen.

Concluding Unscientific Postscripts:

"Once upon a time…" — Anonymous

"It's quarter to three…" — Sinatra

Wednesday, April 16, 2003

Wednesday April 16, 2003

Filed under: General — Tags: — m759 @ 9:36 pm

Keeping Time

The title of this entry comes from T. S. Eliot (see below).  The subject, and the relevance of the Kipling passage, are from Eleanor Cameron's Green and Burning Tree, itself the subject of an April 15 entry.

Part I

From Puck of Pook's Hill, by Rudyard Kipling

The Theatre lay in a meadow….  a large old Fairy Ring of darkened grass, which was the stage….  Shakespeare himself could not have imagined a more suitable setting for his play….

Their play went beautifully….  They were both so pleased that they acted it three times over from beginning to end before they sat down in the unthistly centre of the Ring to eat…, This was when they heard a whistle among the alders on the bank, and they jumped.

The bushes parted. In the very spot where Dan had stood as Puck they saw a small, brown, broad-shouldered, pointy-eared person….

He stopped, hollowed one hand round his ear, and, with a wicked twinkle in his eye, went on:

'What, a play toward? I'll be an auditor;
An actor, too, perhaps, if I see cause.'

The children looked and gasped. The small thing – he was no taller than Dan's shoulder – stepped quietly into the Ring. 

"I'm rather out of practice," said he; "but that's the way my part ought to be played."

Still the children stared at him — from his dark blue cap, like a big columbine flower, to his bare, hairy feet. At last he laughed.

"Please don't look at me like that. It isn't my fault. What else could you expect?" he said.

"We didn't expect anyone," Dan answered slowly. "This is our field."

"Is it?" said their visitor, sitting down. "Then what on Human Earth made you act Midsummer Night's Dream three times over, on Midsummer Eve, in the middle of a Ring, and under — right under one of my oldest hills in Old England? Pook's Hill — Puck's Hill — Puck's Hill — Pook's Hill! It's as plain as the nose on my face."

"…. You've done something that Kings and Knights and Scholars in old days would have given their crowns and spurs and books to find out. If Merlin himself had helped you, you couldn't have managed better!"

Part II

From "East Coker," by T. S. Eliot

In that open field
If you do not come too close,
    if you do not come too close,
On a summer midnight,
    you can hear the music
Of the weak pipe and the little drum….
… Round and round the fire
Leaping through the flames,
    or joined in circles….
… Keeping time,
Keeping the rhythm in their dancing….

Part III

From The Real World, by Anonymous:

Tonight is the night of the Paschal full moon, which is used to calculate the date of Easter.

On this date in 1871, playwright John Millington Synge was born.  He wrote of "the wonderfully tender and searching light that is seen only in Kerry."

On this date in 1991, director David Lean died.  He showed us the tender and searching light of Kerry in "Ryan's Daughter."

The summer harvest festival of County Kerry is known as "Puck Fair."

The song "The Kerry Dance" includes the following lyrics:

O the days of the Kerry dancing….
When the boys began to gather,
    in the glen of a summer's night.
And the Kerry piper's tuning 
    made us long with wild delight.

Tonight's site music is "The Kerry Dance" arranged in a form appropriate to the spirit of "East Coker" and the spirit of Puck Fair.

Eliot and Eleanor Cameron were both concerned with "keeping time" in a very deep sense.  For more on this subject, see my previous entries for April 2003, Poetry Month.

See, too, Midsummer Eve's Dream.
 

Wednesday, February 26, 2003

Wednesday February 26, 2003

Filed under: General — m759 @ 4:40 am

He Ain’t Heavy

Songwriter Tom Glazer, 88, died Friday, February 21, 2003.  From his New York Times obituary:

“Tom Glazer occasionally speculated about meeting St. Peter at the Pearly Gates and being asked what he accomplished in music.”

Glazer:

From the official Department of Defense
Korean War Commemoration website:

Title

Composer

America the Beautiful

W: Katherine Lee Baker,
M: Samuel A. Ward

The Battle Hymn
of the Republic

W: Julia Ward Howe,
M: Traditional

The Marine’s Hymn

W: Anonymous,
M: Jacques Offenbach

My Country ‘Tis of Thee

W: Samuel Francis Smith
M: Traditional

Old Soldiers Never Die

Tom Glazer

Sound Off

Willie Lee Duckworth

Stars and Stripes Forever

John Philip Sousa

Washington Post March

John Philip Sousa

West Point Suite

Darius Milhand

You’re a Grand Old Flag

George M. Cohan

Also from the New York Times:

“In 1957 he composed songs and background music for ‘A Face in the Crowd,’ a film directed by Elia Kazan.”

His brother, who spelled his name Sidney Glazier, died in December. He produced the 1968 movie version of ‘The Producers.'”

St. Peter: 

Welcome to The Music Staff.

Friday, January 24, 2003

Friday January 24, 2003

Filed under: General — Tags: — m759 @ 4:30 am

Steps

John Lahr on a current production of "Our Town":

"The play's narrator and general master of artifice is the Stage Manager, who gives the phrase 'deus ex machina' a whole new meaning. He holds the script, he sets the scene, he serves as an interlocutor between the worlds of the living and the dead, calling the characters into life and out of it; he is, it turns out, the Author of Authors, the Big Guy himself. It seems, in every way, apt for Paul Newman to have taken on this role. God should look like Newman: lean, strong-chinned, white-haired, and authoritative in a calm and unassuming way—if only we had all been made in his image!"

The New Yorker, issue of Dec. 16, 2002

On this date in 1971, Bill Wilson, co-founder of Alcoholics Anonymous, died. 


Newman


Wilson

"Each person is like an actor who wants to run the whole show; is forever trying to arrange the lights, the ballet, the scenery and the rest of the players in his own way. If his arrangements would only stay put, if only people would do as he wished, the show would be great. Everybody, including himself, would be pleased. Life would be wonderful….

First of all, we had to quit playing God. It didn't work. Next, we decided that hereafter in this drama of life, God was going to be our Director….

When we sincerely took such a position, all sorts of remarkable things followed….

We were now at Step Three."

Alcoholics Anonymous, also known as "The Big Book," Chapter 5 

Postscript of 5:15 AM, after reading the following in the New York Times obituaries:

"Must be a tough objective," says Willie to Joe as they huddle on the side of a road, weapons ready. "Th' old man says we're gonna have th' honor of liberatin' it."

"The old men know when an old man dies."

— Ogden Nash
 

Monday, December 16, 2002

Monday December 16, 2002

Filed under: General — m759 @ 2:22 am

Beethoven’s Birthday

“Ludwig van Beethoven’s String Quartet in A Minor, Opus 132, is one of the transcendent masterworks of the Western classical tradition. It is built around its luminous third movement, titled ‘Holy song of thanksgiving by one recovering from an illness.’

In this third movement, the aging Beethoven speaks, clearly and distinctly, in a voice seemingly meant both for all the world and for each individual who listens to it. The music, written in the ancient Lydian mode, is slow and grave and somehow both a struggle and a celebration at the same time.

This is music written by a supreme master at the height of his art, saying that through all illness, tribulation and sorrow there is a strength, there is a light, there is a hope.”

—  Andrew Lindemann Malone

“Eliot’s final poetic achievement—and, for many, his greatest—is the set of four poems published together in 1943 as Four Quartets…. Structurally—though the analogy is a loose one—Eliot modeled the Quartets on the late string quartets of Beethoven, especially… the A Minor Quartet; as early as 1931 he had written the poet Stephen Spender, ‘I have the A Minor Quartet on the gramophone, and I find it quite inexhaustible to study. There is a sort of heavenly or at least more than human gaiety about some of his later things which one imagines might come to oneself as the fruit of reconciliation and relief after immense suffering; I should like to get something of that into verse before I die.'”

— Anonymous author at a
Longman Publishers website

“Each of the late quartets has a unique structure, and the structure of the Quartet in A Minor is one of the most striking of all. Its five movements form an arch. At the center is a stunning slow movement that lasts nearly half the length of the entire quartet…

The third movement (Molto adagio) has a remarkable heading: in the score Beethoven titles it ‘Hymn of Thanksgiving to the Godhead from an Invalid,’ a clear reflection of the illness he had just come through. This is a variation movement, and Beethoven lays out the slow opening section, full of heartfelt music. But suddenly the music switches to D major and leaps ahead brightly; Beethoven marks this section ‘Feeling New Strength.’ These two sections alternate through this movement (the form is A-B-A-B-A), and the opening section is so varied on each reappearance that it seems to take on an entirely different character each time: each section is distinct, and each is moving in its own way (Beethoven marks the third ‘With the greatest feeling’). This movement has seemed to many listeners the greatest music Beethoven ever wrote. and perhaps the problem of all who try to write about this music is precisely that it cannot be described in words and should be experienced simply as music.”

—  Eric Bromberger,
Borromeo Quartet program notes 

In accordance with these passages, here is a web page with excellent transcriptions for piano by Steven Edwards of Beethoven’s late quartets:

The 16 String Quartets.

Our site music for today, Beethoven’s String Quartet No. 15 in A Minor, Opus 132, Movement 3 (1825), is taken from this web page.

Friday, October 25, 2002

Friday October 25, 2002

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

ART WARS:
Picasso's Birthday

From an art quotes website:

Dore Ashton's Picasso on Art —

"We all know that Art is not truth.
Art is a lie that makes us realize truth,
at least the truth that is given us
to understand." — Pablo Picasso

From "Xanadu" —

"You have to believe we are magic."
— Olivia Newton-John

The Muse
Picasso

 

Soul Kiss
Olivia
Newton-John

 

 

 

A is for Art
Cullinane

 
"A work of art has an author and yet,
when it is perfect, it has something
which is essentially anonymous about it."
Simone Weil, Gravity and Grace 

 

The image “http://www.log24.com/log/images/021025-AddsUp.jpg” cannot be displayed, because it contains errors.

Friday, October 18, 2002

Friday October 18, 2002

Filed under: General — m759 @ 5:55 am

Readings for the Oct. 18
Feast of St. Luke

A fellow Xangan is undergoing a spiritual crisis. Well-meaning friends are urging upon her all sorts of advice. The following is my best effort at religious counsel, meant more for the friends than for the woman in crisis.

Part I… Wallace Stevens 

From Brewer’s Dictionary of Phrase and Fable:

Ox Emblematic of St. Luke. It is one of the four figures which made up Ezekiel’s cherub (i. 10). The ox is the emblem of the priesthood….

   The dumb ox. St. Thomas Aquinas; so named by his fellow students at Cologne, on account of his dulness and taciturnity. (1224-1274.)
   Albertus said, “We call him the dumb ox, but he will give one day such a bellow as shall be heard from one end of the world to the other.” (Alban Butler.)

From Wallace Stevens, “The Latest Freed Man“:

It was how the sun came shining into his room:
To be without a description of to be,
For a moment on rising, at the edge of the bed, to be,
To have the ant of the self changed to an ox
With its organic boomings, to be changed
From a doctor into an ox, before standing up,
To know that the change and that the ox-like struggle
Come from the strength that is the strength of the sun,
Whether it comes directly or from the sun.
It was how he was free. It was how his freedom came.
It was being without description, being an ox.

Part II… The Rosy Cross

Readings:

  • Brautigan, Richard, The Hawkline Monster, Simon and Schuster, 1974…
    Just for the pleasure of reading it… A compelling work of fiction on spiritual matters that includes a conversion to Rosicrucianism in its concluding chapter.
  • Browning, Vivienne (Betty Coley, ed).
    My Browning Family Album. With a Foreword by Ben Travers, and a Poem by Jack Lindsay Springwood, London, 1979…
    The Rosicrucian tradition in Australia (highly relevant background reading for the 1994 film “Sirens”). Includes a mention of Aleister Crowley, dark mage, who also figures (prominently) in….
  • Wilson, Robert Anton, Masks of the Illuminati, Pocket Books, April 1981…
    James Joyce and Albert Einstein join in a metaphysical investigation.

    “He recited from the anonymous Muses Threnody of 1648:

    For we be brethren of the Rosy Cross
    We have the Mason Word and second sight
    Things for to come we can see aright.”

Part III… Stevens Again

A major critical work on Wallace Stevens that is not unrelated to the above three works on the Rosicrucian tradition:

Leonora Woodman, Stanza My Stone: Wallace Stevens and the Hermetic Tradition, West Lafayette, Indiana: Purdue University Press, 1983

From the Department of English, Purdue University:

Leonora Woodman came to Purdue in 1976. In 1979, she became Director of Composition, a position she held until 1986…. At the time of her death in 1991, she was in the midst of an important work on modernist poetry, Literary Modernism and the Fourth Dimension: The Visionary Poetics of D.H. Lawrence, H.D., and Hart Crane.

For more on Gnostic Christianity, see

  • Elaine Pagels, The Gnostic Gospels (Random House, 1979), and
  • Harold Bloom, Omens of Millenium: The Gnosis of Angels, Dreams, and Resurrection (Riverhead Books, 1996).

Monday, August 5, 2002

Monday August 5, 2002

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

History, Stephen said….

The Modern Word

— To really know a subject you've got to learn a bit of its history….

John Baez, August 4, 2002

We both know what memories can bring;
They bring diamonds and rust.

—  Joan Baez, April 1975 

All sorts of structures that can be defined for finite sets have analogues for the projective geometry of finite fields….

Clearly this pattern is trying to tell us something; the question is what. As always, it pays to focus on the simplest case, since that's where everything starts.

John Baez, August 4, 2002

In the beginning was the word….

The Gospel according to Saint John

The anonymous author of John makes liberal use of allegory and double-entendre to illustrate this theme.

The Gospel of John

Born yesterday: Logician John Venn

Venn considered three discs R, S, and T as typical subsets of a set U. The intersections of these discs and their complements divide U into 8 nonoverlapping regions….

History of Mathematics at St. Andrews

Who would not be rapt by the thought of such marvels?….

Saint Bonaventure on the Trinity

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