Log24

Monday, June 29, 2026

Steiner Revisited . . . Reality for “Language Animals”

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

George Steiner on chess in “A Death of Kings,” The New Yorker,
issue dated September 7, 1968, page 133 —

At the sight of a set, even the tawdriest of plastic pocket sets, one’s fingers arch and a coldness as in a light sleep steals over one’s spine. Not for gain, not for knowledge or renown, but in some autistic enchantment, pure as one of Bach’s inverted canons or Euler’s formula for polyhedra. There, surely, lies one of the real connections. For all their wealth of content, for all the sum of history and social institution vested in them, music, mathematics, and chess are resplendently useless (applied mathematics is just higher plumbing, a kind of music for the police band). They are metaphysically trivial, irresponsible. They refuse to relate outward, to take reality for arbiter. This is the source of their witchery. They tell us, as does a kindred but much later process, abstract art, of man’s unique capacity to “build against the world,” to devise forms that are zany, totally useless, austerely frivolous. Such forms are irresponsible to reality, and therefore inviolate, as is nothing else, to the banal authority of death.

See also . . .

http://m759.net/wordpress/?
s=Steiner+Language+Animal

Wednesday, January 27, 2016

Game Theory for Steiner

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

"The definition of easy to learn, hard to master"

Alex Hern in The Guardian  today on the game of Go

Not unlike music, mathematics, and chess.

A Singer 7-Cycle

Saturday, November 23, 2013

Chess

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

Norwegian, 22, Takes World Chess Title

Quoted here on Thursday, the date of Kavli‘s death:

Herbert Mitgang’s New York Times 
obituary of Cleanth Brooks

“The New Critics advocated close reading of literary texts
and detailed analysis, concentrating on semantics, meter,
imagery, metaphor and symbol as well as references to
history, biography and cultural background.”

See also Steiner, Chess, and Death.

Wednesday, July 1, 2026

Da Capo

Filed under: General — Tags: — m759 @ 3:04 am
 

"For all their wealth of content, for all the sum of history and social institution vested in them, music, mathematics, and chess are resplendently useless (applied mathematics is just higher plumbing, a kind of music for the police band). They are metaphysically trivial, irresponsible. They refuse to relate outward, to take reality for arbiter. This is the source of their witchery."

— George Steiner on chess in “A Death of Kings,”
The New Yorkerissue dated September 7, 1968, page 133

Steiner says that mathematics refuses "to relate outward,
to take reality for arbiter." 

Related reading . . .

"The bond with reality is cut."

— Hans Freudenthal, 1962

Wednesday, March 30, 2022

Games

Filed under: General — Tags: , , — m759 @ 7:28 am

Click to enlarge.

Related reading — George Steiner's Fields of Force , on chess in Iceland, and . . .

The New Yorker , article by Sam Knight dated March 28, 2022 —

They went to Björk’s house. She cooked salmon.
She had seen “The Witch” and introduced Eggers
to Sjón, who had written a novel about seventeenth-
century witchcraft in Iceland. When he got home,
Eggers read Sjón’s books. “I was, like, this guy’s
a fucking magician,” Eggers said. “He sees all time,
in time, out of time.” 

Tuesday, January 5, 2021

The Shop on the Corner

Filed under: General — Tags: , , — m759 @ 10:38 am

George Steiner on chess —

"… the common bond between chess, music, and mathematics
may, finally, be the absence of language."

— George Steiner, Fields of Force: Fischer and Spassky at Reykjavik ,
Viking hardcover, June 1974.

In memory of George Steiner, of Walter Tevis, and of B&B Smoke Shop,
corner of Third Ave. and Liberty St., Warren, Pennsylvania, in the 1950s,
where I purchased . . .

At that point in my life, language interested me more than chess.
But I can identify with the protagonist of Walter Tevis's  Queen's Gambit ,
(the book, not the film) who visited a similar smoke shop in 1960 —

… There was a long rack of magazines behind her. When she
got the cigarettes, she turned 
and began looking.  Senator
Kennedy’s picture was on the 
cover of Time  and Newsweek :
he was running for Pres
ident . . . . 

. . . Walking home with the folded [chess] magazine tucked
securely against her flat belly she thought again about that
rook move Morphy hadn’t made. The magazine said
Morphy was “perhaps the most brilliant player in the
history of the game.” The rook could come to bishop seven,
and Black had better not take it with his knight because…
She stopped, halfway down the block. A dog was barking
somewhere, and across the street from her on a well-mowed
lawn two small boys were loudly playing tag. After  the
second pawn moved to king knight five, then the remaining
rook could slide over, and if the black player took
the pawn, the bishop could uncover, and if he didn’t…

      She closed her eyes. If he didn’t capture it, Morphy
could force a mate in two, starting with the bishop sacrificing
itself with a check. If he did  take it, the white pawn
moved again, and then the bishop went the other way
and there was nothing Black could do. There it was.  One
of the little boys across the street began crying. There was
nothing Black could do.  The game would be over in
twenty-nine moves at least. The way it was in the book, it
had taken Paul Morphy thirty-six moves to win. He
hadn’t seen the move with the rook. But she had. 

      Overhead the sun shone in a blank blue sky. The dog
continued barking. The child wailed. Beth walked slowly
home and replayed the game. Her mind was as lucid as a
perfect, stunning diamond.

***

Sunday, January 10, 2016

Field of Force

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

The title is adapted from that of George Steiner's book
Fields of Force: Fischer and Spassky at Reykjavik 
(Published by Viking Adult on June 25, 1974.)

For fields of narrative  force, see the previous post.

See as well a memorable review by the late Florence King
of the novel The Eight  by Katherine Neville. An illustration 
from that review (The New York Times , January 15, 1989) —

Related material Closing the Circle (Log24, Sept. 24, 2009).

Wednesday, July 22, 2015

Ein Kampf

Filed under: General — Tags: , — m759 @ 9:29 pm

"Die Philosophie ist ein Kampf gegen die Verhexung
unsres Verstandes durch die Mittel unserer Sprache."

— Wittgenstein, Philosophical Investigations  (1953),  Section 109

Actor portraying Bobby Fischer

Related material —

"… the common bond between chess, music, and mathematics
may, finally, be the absence of language."

— George Steiner, Fields of Force: Fischer and Spassky at Reykjavik ,
     Viking hardcover, June 1974.

Saturday, June 27, 2015

A Death of Kings

Filed under: General — m759 @ 10:25 pm

The title is that of  a classic 1968 New Yorker  essay
by George Steiner. See previous posts on this topic.

Friday, October 10, 2014

Autistic Enchantment

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

(Continued from Sept. 3, 2009)

George Steiner on chess:

"At the sight of a set, even the tawdriest of plastic pocket sets,
one’s fingers arch and a coldness as in a light sleep steals over
one’s spine. Not for gain, not for knowledge or reknown, but
in some autistic enchantment, pure as one of Bach’s inverted
canons or Euler’s formula for polyhedra."

— George Steiner in “A Death of Kings,” The New Yorker,
issue dated September 7, 1968, page 133

A related remark from Dudeney:

See also a different context for 16 squares and 322,560 arrangements.

Saturday, November 23, 2013

Rabbi

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

“We’ll give the week-end to wisdom, to Weisheit, the rabbi….”

— Wallace Stevens in “Things of August” (see Storyville yesterday)

My choice for a rabbi would be George Steiner.

INTERVIEWER

You once referred to the “patience of apprehension” and “open-endedness of asking” which fiction can enact, and yet you have described your fictions as “allegories of argument, stagings of ideas.” Do you still consider them to be “stagings of ideas”?

GEORGE STEINER

Very much so. My writing of fiction comes under a very general heading of those teachers, critics, scholars who like to try their own hand once or twice in their lives.

The Paris Review, Winter 1995

For one such staging, see today’s earlier posts Chess and Frame Tale.

Sunday, December 2, 2012

Realism

Filed under: General — Tags: , , — m759 @ 4:30 pm

From the Los Angeles Times  yesterday

"Chess player Elena Akhmilovskaya Donaldson sits
in deep concentration at the U.S. chess championship
in Seattle in 2002. (Greg Gilbert / Seattle Times / 
January 5, 2002)"

Linda Shaw, Seattle Times :

"Elena Akhmilovskaya Donaldson, who was once the world's
second-ranked women's chess player and eloped in 1988
with the captain of the U.S. chess team when they were both
playing at a tournament in Greece, has died. She was 55.

Donaldson, who earned the title of international women's
grandmaster, died Nov. 18 in her adopted hometown of Seattle…."

more »

From the Log24 post "Sermon" on the date of Donaldson's death,
Sunday, Nov. 18, 2012—

"You must allow us to play every conceivable combination of chess."
— Marie-Louise von Franz in Number and Time

An October 2011 post titled  Realism in Plato's Cave displays
the following image:

Cover illustration: Durer's 'Knight, Death, and the Devil'

Cover illustration: Knight, Death, and the Devil,
by Albrecht Dürer

George Steiner and myself  in Closing the Circle, a Log24 post
of Sept. 4, 2009: 

“Allegoric associations of death with chess are perennial….”

"Yes, they are."

For related remarks on knight moves and the devil, see
today's previous two posts, Knight's Labyrinth and The Rite.

Thursday, January 19, 2012

Hegel

Filed under: General — m759 @ 8:08 pm

Those impressed by George Steiner's remark on Hegel in the previous post may consult…

(Click to enlarge.)

(The Christian Examiner.  Volume LXXX. New Series, Volume I.  January, March, May, 1866.
New York: James Miller, Publisher, 522, Broadway.  Boston: Walker, Fuller, & Co.

No. CCLIV, Art. IV.– THE SECRET OF HEGEL.
By C. C. Everett, pp. 196-207.

A review of…

The Secret of Hegel, being the Hegelian System in Origin, Principle, Form, and Matter.
By James Hutchinson Sterling. In two volumes.
London: Longman, Green, Longman, Roberts, & Green. 1865. 8vo, 2 vols.)

On Hegel, from the review—

"He starts not from the beginning, but from the heart, of the world.
There never was a time when this pure Being— which, in its
undivided absoluteness, is indistinguishable from nothing;
as pure, unbroken light is indistinguishable from darkness—

was by itself alone; but this absolute Being is yet the foundation
and the groundwork of whatever is."

For more on Hegel's logic, see Marxists.org.

See also Steiner on chess and Lenin in The New Yorker
(September 7, 1968, page 133).

Friday, September 4, 2009

Friday September 4, 2009

Filed under: General — Tags: , , — m759 @ 2:02 pm
Closing the Circle

Continued from Monday

"This is a chapel 
 of mischance;
ill luck betide it, 'tis
the cursedest kirk
  that ever I came in!"

Philip Kennicott on
Kirk Varnedoe in
The Washington Post:

"Varnedoe's lectures were
ultimately about faith,
about his faith in
the power of abstraction,
 and abstraction as a kind of
    anti-religious faith in itself…."

Kennicott's remarks were
 on Sunday, May 18, 2003.
They were subtitled
"Closing the Circle
on Abstract Art."

Also on Sunday, May 18, 2003:

 "Will the circle be unbroken?
  As if some southern congregation
  is praying we will come to understand."

Princeton University Press:

Empty canvas on cover of Varnedoe's 'Pictures of Nothing'

See also

Parmiggiani's 
  Giordano Bruno

Parmiggiani's Bruno: empty canvas with sculpture of Durer's solid

Dürer's Melencolia I

Durer, Melencolia I

and Log24 entries
of May 19-22, 2009,
ending with
    "Steiner System" —

Diamond-shaped face of Durer's 'Melencolia I' solid, with  four colored pencils from Diane Robertson Design

George Steiner on chess
(see yesterday morning):

"There are siren moments when quite normal creatures otherwise engaged, men such as Lenin and myself, feel like giving up everything– marriage, mortgages, careers, the Russian Revolution– in order to spend their days and nights moving little carved objects up and down a quadrate board."

Steiner continues

"Allegoric associations of death with chess are perennial…."

Yes, they are.

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

Mathematics and Art: Totentanz from Seventh Seal

Cf. both of yesterday's entries.

Thursday, September 3, 2009

Thursday September 3, 2009

Filed under: General,Geometry — Tags: , , , — m759 @ 11:07 am
Autistic Enchantment

“Music and mathematics are among the pre-eminent wonders of the race. Levi-Strauss sees in the invention of melody ‘a key to the supreme mystery’ of man– a clue, could we but follow it, to the singular structure and genius of the species. The power of mathematics to devise actions for reasons as subtle, witty, manifold as any offered by sensory experience and to move forward in an endless unfolding of self-creating life is one of the strange, deep marks man leaves on the world. Chess, on the other hand, is a game in which thirty-two bits of ivory, horn, wood, metal, or (in stalags) sawdust stuck together with shoe polish, are pushed around on sixty-four alternately coloured squares. To the addict, such a description is blasphemy. The origins of chess are shrouded in mists of controversy, but unquestionably this very ancient, trivial pastime has seemed to many exceptionally intelligent human beings of many races and centuries to constitute a reality, a focus for the emotions, as substantial as, often more substantial than, reality itself. Cards can come to mean the same absolute. But their magnetism is impure. A mania for whist or poker hooks into the obvious, universal magic of money. The financial element in chess, where it exists at all, has always been small or accidental.

To a true chess player, the pushing about of thirty-two counters on 8×8 squares is an end in itself, a whole world next to which that of a mere biological or political or social life seems messy, stale, and contingent. Even the patzer, the wretched amateur who charges out with his knight pawn when the opponent’s bishop decamps to R4, feels this daemonic spell. There are siren moments when quite normal creatures otherwise engaged, men such as Lenin and myself, feel like giving up everything– marriage, mortgages, careers, the Russian Revolution– in order to spend their days and nights moving little carved objects up and down a quadrate board. At the sight of a set, even the tawdriest of plastic pocket sets, one’s fingers arch and a coldness as in a light sleep steals over one’s spine. Not for gain, not for knowledge or reknown, but in some autistic enchantment, pure as one of Bach’s inverted canons or Euler’s formula for polyhedra.”

— George Steiner in “A Death of Kings,” The New Yorker, issue dated September 7, 1968, page 133

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

Quaternion rotations in a finite geometry
Click above images for some context.

See also:

Log24 entries of May 30, 2006, as well as “For John Cramer’s daughter Kathryn”– August 27, 2009— and related material at Wikipedia (where Kathryn is known as “Pleasantville”).

Saturday, April 4, 2009

Saturday April 4, 2009

Filed under: General,Geometry — Tags: , — m759 @ 7:01 pm
Steiner Systems

 
"Music, mathematics, and chess are in vital respects dynamic acts of location. Symbolic counters are arranged in significant rows. Solutions, be they of a discord, of an algebraic equation, or of a positional impasse, are achieved by a regrouping, by a sequential reordering of individual units and unit-clusters (notes, integers, rooks or pawns). The child-master, like his adult counterpart, is able to visualize in an instantaneous yet preternaturally confident way how the thing should look several moves hence. He sees the logical, the necessary harmonic and melodic argument as it arises out of an initial key relation or the preliminary fragments of a theme. He knows the order, the appropriate dimension, of the sum or geometric figure before he has performed the intervening steps. He announces mate in six because the victorious end position, the maximally efficient configuration of his pieces on the board, lies somehow 'out there' in graphic, inexplicably clear sight of his mind…."

"… in some autistic enchantment,http://www.log24.com/images/asterisk8.gif pure as one of Bach's inverted canons or Euler's formula for polyhedra."

— George Steiner, "A Death of Kings," in The New Yorker, issue dated Sept. 7, 1968

Related material:

A correspondence underlying
the Steiner system S(5,8,24)–

http://www.log24.com/log/pix09/090404-MOGCurtis.gif

The Steiner here is
 Jakob, not George.

http://www.log24.com/images/asterisk8.gif See "Pope to Pray on
   Autism Sunday 2009."
    See also Log24 on that
  Sunday– February 8:

Memorial sermon for John von Neumann, who died on Feb. 8,  1957

 

Saturday, March 21, 2009

Saturday March 21, 2009

Filed under: General,Geometry — Tags: , — m759 @ 12:25 am

Counters in Rows

"Music, mathematics, and chess are in vital respects dynamic acts of location. Symbolic counters are arranged in significant rows. Solutions, be they of a discord, of an algebraic equation, or of a positional impasse, are achieved by a regrouping, by a sequential reordering of individual units and unit-clusters (notes, integers, rooks or pawns)."

— George Steiner
   (See March 10, "Language Game.")
 



For example:

Model of the 21-point projective plane consisting of the 1- and 2- subsets of a 6-set

Click to enlarge.

Context:

Notes on Finite Geometry
(Section on 6-set structures)
 

Tuesday, March 10, 2009

Tuesday March 10, 2009

Filed under: General,Geometry — Tags: , — m759 @ 9:26 am
Language Game

“Music, mathematics, and chess are in vital respects dynamic acts of location. Symbolic counters are arranged in significant rows. Solutions, be they of a discord, of an algebraic equation, or of a positional impasse, are achieved by a regrouping, by a sequential reordering of individual units and unit-clusters (notes, integers, rooks or pawns). The child-master, like his adult counterpart, is able to visualize in an instantaneous yet preternaturally confident way how the thing should look several moves hence. He sees the logical, the necessary harmonic and melodic argument as it arises out of an initial key relation or the preliminary fragments of a theme. He knows the order, the appropriate dimension, of the sum or geometric figure before he has performed the intervening steps. He announces mate in six because the victorious end position, the maximally efficient configuration of his pieces on the board, lies somehow ‘out there’ in graphic, inexplicably clear sight of his mind….”

“… in some autistic enchantment, pure as one of Bach’s inverted canons or Euler’s formula for polyhedra.”

— George Steiner, “A Death of Kings,” in The New Yorker, issue dated Sept. 7, 1968

Related material:

“Classrooms are filled with discussions not of the Bible and Jesus but of 10 ‘core values’– perseverance and curiosity, for instance– that are woven into the curriculum.”

— “Secular Education, Catholic Values,” by Javier C. Hernandez, The New York Times, Sunday, March 8, 2009

“… There was a problem laid out on the board, a six-mover. I couldn’t solve it, like a lot of my problems. I reached down and moved a knight…. I looked down at the chessboard. The move with the knight was wrong. I put it back where I had moved it from. Knights had no meaning in this game. It wasn’t a game for knights.”


— Raymond Chandler, The Big Sleep

The Chandler quotation appears in “Language Game,” an entry in this journal on April 7, 2008.

Some say the “Language Game” date, April 7, is the true date (fixed, permanent) of the Crucifixion– by analogy, Eliot’s “still point” and Jung’s “centre.” (See yesterday, noon.)

Monday, January 5, 2009

Monday January 5, 2009

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

A Wealth of
Algebraic Structure

A 4x4 array (part of chessboard)

A 1987 article by R. T. Curtis on the geometry of his Miracle Octad Generator (MOG) as it relates to the geometry of the 4×4 square is now available online ($20):

Further elementary techniques using the miracle octad generator
, by R. T. Curtis. Abstract:

“In this paper we describe various techniques, some of which are already used by devotees of the art, which relate certain maximal subgroups of the Mathieu group M24, as seen in the MOG, to matrix groups over finite fields. We hope to bring out the wealth of algebraic structure* underlying the device and to enable the reader to move freely between these matrices and permutations. Perhaps the MOG was mis-named as simply an ‘octad generator’; in this paper we intend to show that it is in reality a natural diagram of the binary Golay code.”

 

(Received July 20 1987)

Proceedings of the Edinburgh Mathematical Society (Series 2) (1989), 32: 345-353, doi:10.1017/S0013091500004600.

(Published online by Cambridge University Press 19 Dec 2008.)

In the above article, Curtis explains how two-thirds of his 4×6 MOG array may be viewed as the 4×4 model of the four-dimensional affine space over GF(2).  (His earlier 1974 paper (below) defining the MOG discussed the 4×4 structure in a purely combinatorial, not geometric, way.)

For further details, see The Miracle Octad Generator as well as Geometry of the 4×4 Square and Curtis’s original 1974 article, which is now also available online ($20):

A new combinatorial approach to M24, by R. T. Curtis. Abstract:

“In this paper, we define M24 from scratch as the subgroup of S24 preserving a Steiner system S(5, 8, 24). The Steiner system is produced and proved to be unique and the group emerges naturally with many of its properties apparent.”

 

(Received June 15 1974)

Mathematical Proceedings of the Cambridge Philosophical Society (1976), 79: 25-42, doi:10.1017/S0305004100052075.

(Published online by Cambridge University Press 24 Oct 2008.)

* For instance:

Algebraic structure in the 4x4 square, by Cullinane (1985) and Curtis (1987)

Click for details.

Saturday, January 19, 2008

Saturday January 19, 2008

Filed under: General — Tags: , — m759 @ 7:00 am
In Memory of
Bobby Fischer

Edward Rothstein has a piece on Bobby Fischer in today’s New York Times.  The Rothstein opening:

“There may be only three human activities in which miraculous accomplishment is possible before adulthood: mathematics, music and chess.”

This echoes the opening of a classic George Steiner essay (The New Yorker, Sept. 7, 1968):

“There are three intellectual pursuits, and, so far as I am aware, only three, in which human beings have performed major feats before the age of puberty. They are music, mathematics, and chess.”

— “A Death of Kings,” reprinted in George Steiner: A Reader, Oxford University Press, 1984, pp. 171-178.

Despite its promising (if unoriginal) opening, the New York Times piece is mainly an attack on Fischer’s anti-Jewish stance.  Rothstein actually has little of interest to say about what he calls the “glass-bead games” of music, mathematics, and chess. For a better-written piece on chess and madness, see Charles Krauthammer’s 2005 essay in TIME. The feuilletons of Rothstein and Krauthammer do not, of course, come close to the genuinely bead-game-like writing of Steiner.

Related material on
chess and religion:
Magical Thinking
(December 7th, 2005)

Sunday, April 1, 2007

Sunday April 1, 2007

Filed under: General — m759 @ 12:00 pm
Doubly Appropriate

From Log24’s Xanga footprints this morning:

France Weblog http://search.ke.voila…. 4/1/2007
8:33 AM

The “Weblog” link is to a Log24 page containing the last five entries dated Sept. 22, 2002, or earlier.

The first impression one has on clicking “Weblog” is that the visitor was interested in George Steiner, C. S. Lewis, and a game of chess with God– appropriate topics for today, Palm Sunday.

This, however, is just the top entry of the five on the page.  A check of the referring link shows the visitor to have been interested in neither chess nor God, but rather in sombreros– an appropriate topic for today, April Fools’ Day.

The image “http://www.log24.com/log/pix07/070401-Sombrero.jpg” cannot be displayed, because it contains errors.
 
Related material:
A Log24 page from Dec. 10, 2002,
whose entries also deal with
God and hats.

Sunday, September 22, 2002

Sunday September 22, 2002

Filed under: General,Geometry — Tags: , , , , , — m759 @ 8:02 pm

Force Field of Dreams

Metaphysics and chess in today's New York Times Magazine:

  • From "Must-See Metaphysics," by Emily Nussbaum:

    Joss Whedon, creator of a new TV series —

    "I'm a very hard-line, angry atheist" and
    "I want to invade people's dreams."

  • From "Check This," by Wm. Ferguson:

    Garry Kasparov on chess —

    "When the computer sees forced lines,
    it plays like God."

Putting these quotations together, one is tempted to imagine God having a little game of chess with Whedon, along the lines suggested by C. S. Lewis:

As Lewis tells it the time had come for his "Adversary [as he was wont to speak of the God he had so earnestly sought to avoid] to make His final moves." (C. S. Lewis, Surprised by Joy, Harcourt, Brace, and World, Inc., 1955, p. 216) Lewis called them "moves" because his life seemed like a chess match in which his pieces were spread all over the board in the most disadvantageous positions. The board was set for a checkmate….

For those who would like to imagine such a game (God vs. Whedon), the following may be helpful.

George Steiner has observed that

The common bond between chess, music, and mathematics may, finally, be the absence of language.

This quotation is apparently from

Fields of Force:
Fischer and Spassky at Reykjavik
. by George Steiner, Viking hardcover, June 1974.

George Steiner as quoted in a review of his book Grammars of Creation:

"I put forward the intuition, provisional and qualified, that the 'language-animal' we have been since ancient Greece so designated us, is undergoing mutation."

The phrase "language-animal" is telling.  A Google search reveals that it is by no means a common phrase, and that Steiner may have taken it from Heidegger.  From another review, by Roger Kimball:

In ''Grammars of Creation,'' for example, he tells us that ''the classical and Judaic ideal of man as 'language animal,' as uniquely defined by the dignity of speech . . . came to an end in the antilanguage of the death camps.''

This use of the Holocaust not only gives the appearance of establishing one's credentials as a person of great moral gravity; it also stymies criticism. Who wants to risk the charge of insensitivity by objecting that the Holocaust had nothing to do with the ''ideal of man as 'language animal' ''?

Steiner has about as clear an idea of the difference between "classical" and "Judaic" ideals of man as did Michael Dukakis. (See my notes of September 9, 2002.)

Clearly what music, mathematics, and chess have in common is that they are activities based on pure form, not on language. Steiner is correct to that extent. The Greeks had, of course, an extremely strong sense of form, and, indeed, the foremost philosopher of the West, Plato, based his teachings on the notion of Forms. Jews, on the other hand, have based their culture mainly on stories… that is, on language rather than on form. The phrase "language-animal" sounds much more Jewish than Greek. Steiner is himself rather adept at the manipulation of language (and of people by means of language), but, while admiring form-based disciplines, is not particularly adept at them.

I would argue that developing a strong sense of form — of the sort required to, as Lewis would have it, play chess with God — does not require any "mutation," but merely learning two very powerful non-Jewish approaches to thought and life: the Forms of Plato and the "archetypes" of Jung as exemplified by the 64 hexagrams of the 3,000-year-old Chinese classic, the I Ching.

For a picture of how these 64 Forms, or Hexagrams, might function as a chessboard,

click here.

Other relevant links:

"As you read, watch for patterns. Pay special attention to imagery that is geometric…"

and


from Shakhmatnaia goriachka

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