“The yarns of seamen have a direct simplicity, — Joseph Conrad in Heart of Darkness
“By groping toward the light we are made to realize
— Arthur Koestler, The Call Girls: A Tragi-Comedy, |
“The yarns of seamen have a direct simplicity, — Joseph Conrad in Heart of Darkness
“By groping toward the light we are made to realize
— Arthur Koestler, The Call Girls: A Tragi-Comedy, |
Financial Times today informs us that the new 48-page novel by
Nobel Lit Prize winner Jon Fosse, with title translated as
"A Shining," will be published not on Halloween, as previously
reported here, but instead on the next day, All Hallows. Good.
The novel's original title, in Norwegian, is Kvitleik .
The Web indicates that this means "White Game."
See as well yesterday's post "Void Game." A relevant quote —
"By groping toward the light we are made to realize
how deep the darkness is around us."
— Arthur Koestler, The Call Girls: A Tragi-Comedy ,
Random House, 1973, page 118
The title refers to a Log24 post of Feb. 8, 2021.
Detail from an image in that post:
By groping toward the light we are made to realize
how deep the darkness is around us." — Arthur Koestler
Related Hollywood remark:
"You've blown communication
…as we've known it… right out of
the water. You know that, don't you?"
— Cliff Robertson in Brainstorm (1983)
Ave
A letter in The Mathematical Intelligencer , January 1988
http://www.log24.com/noindex-pdf/
Cullinane-letter-Artes_Liberales-Intelligencer.pdf —
Vale
A farewell lecture at Yale, April 2013
Kagan's obituary in the online New York Times tonight
says that he died at 89 on August 6, 2021.
The above farewell lecture of Kagan was on Thursday, April 25, 2013.
From this journal on Kagan's "born yesterday" date — April 24, 2013 —
"By groping toward the light we are made to realize
how deep the darkness is around us."
— Arthur Koestler, The Call Girls: A Tragi-Comedy ,
Random House, 1973, page 118
Heng today states clearly the obvious problem with peer review —
“… because reviewers must have a certain level of authority
in the subject, their work is often in direct competition with
what’s presented in these potential publications.”
Thursday, August 21, 2014
NoxFiled under: Uncategorized — m759 @ 1:00 AM ( A sequel to Lux ) “By groping toward the light we are made to realize — Arthur Koestler, The Call Girls: A Tragi-Comedy , Robin Williams and the Stages of Math i) shock & denial A related description of the process — “You know how sometimes someone tells you a theorem, — Tom Leinster yesterday at The n-Category Café |
“Why did no one tell me this before?” See The Crimson .
Related material for comedians —
Thursday, August 21, 2014
NoxFiled under: Uncategorized — m759 @ 1:00 AM ( A sequel to Lux ) “By groping toward the light we are made to realize — Arthur Koestler, The Call Girls: A Tragi-Comedy , Robin Williams and the Stages of Math i) shock & denial A related description of the process — “You know how sometimes someone tells you a theorem, — Tom Leinster yesterday at The n-Category Café |
See as well . . .
Damonizing Your Opponent
This post was suggested by a David Justice weblog post yesterday,
Coincidence and Cosmos. Some related remarks —
“The yarns of seamen have a direct simplicity, the whole meaning
of which lies within the shell of a cracked nut. But Marlow was not
typical (if his propensity to spin yarns be excepted), and to him the
meaning of an episode was not inside like a kernel but outside,
enveloping the tale which brought it out only as a glow brings out a
haze, in the likeness of one of these misty halos that sometimes
are made visible by the spectral illumination of moonshine.”
— Joseph Conrad in Heart of Darkness
“By groping toward the light we are made to realize
how deep the darkness is around us.”
— Arthur Koestler, The Call Girls: A Tragi-Comedy,
Random House, 1973, page 118
See as well posts now tagged Crux.
From a post this morning by Peter J. Cameron
in memory of John Horton Conway —
” This happened at a conference somewhere in North America. I was chairing the session at which he was to speak. When I got up to introduce him, his title had not yet been announced, and the stage had a blackboard on an easel. I said something like ‘The next speaker is John Conway, and no doubt he is going to tell us what he will talk about.’ John came onto the stage, went over to the easel, picked up the blackboard, and turned it over. On the other side were revealed five titles of talks. He said, ‘I am going to give one of these talks. I will count down to zero; you are to shout as loudly as you can the number of the talk you want to hear, and the chairman will judge which number is most popular.’ “ |
Thursday, August 21, 2014
NoxFiled under: Uncategorized — m759 @ 1:00 AM ( A sequel to Lux ) “By groping toward the light we are made to realize — Arthur Koestler, The Call Girls: A Tragi-Comedy , Robin Williams and the Stages of Math i) shock & denial A related description of the process — “You know how sometimes someone tells you a theorem, — Tom Leinster yesterday at The n-Category Café |
“By groping toward the light we are made to realize
how deep the darkness is around us.”
— Arthur Koestler, The Call Girls: A Tragi-Comedy ,
Random House, 1973, page 118
Flashback —
Thursday, August 21, 2014
Nox
|
"By groping toward the light we are made to realize
how deep the darkness is around us."
— Arthur Koestler, The Call Girls: A Tragi-Comedy ,
Random House, 1973, page 118
"Dear boys — We’re going to have some fun, aren’t we?"
— Maeve in "Westworld," Season 1, Episode 6,
after her "bulk apperception" has been upgraded
to the maximum.
"Bulk apperception" is defined in the script as "basically,
overall intelligence." The phrase is apparently unique to "Westworld."
These two words do, however, nearly occur together in
at least one book — Andrew Feffer's The Chicago Pragmatists
and American Progressivism :
This journal on Saturday, Dec. 19 —
“By groping toward the light we are made to realize how deep the darkness is around us.” — Arthur Koestler, The Call Girls: A Tragi-Comedy, Random House, 1973, page 118 |
In memory of Madame Claude, who
reportedly died in Nice December 19:
"There were fairies and spirits."
Amen.
“By groping toward the light we are made to realize how deep the darkness is around us.” — Arthur Koestler, The Call Girls: A Tragi-Comedy, Random House, 1973, page 118 |
"The Tesseract is where it belongs: out of our reach."
— Samuel L. Jackson as Nick Fury,
quoted here on Epiphany 2013
Earlier … (See Jan. 27, 2012) …
"And the Führer digs for trinkets in the desert."
The previous post mentions an Amos Oz
novel, A Tale of Love and Darkness
(Sipour Al Ahava Vehoshekh, סיפור על אהבה וחושך),
apparently first published in Hebrew in 2002.
“By groping toward the light we are made to realize
how deep the darkness is around us.”
— Arthur Koestler, The Call Girls: A Tragi-Comedy ,
Random House, 1973, page 118
( A sequel to Lux )
“By groping toward the light we are made to realize
how deep the darkness is around us.”
— Arthur Koestler, The Call Girls: A Tragi-Comedy ,
Random House, 1973, page 118
Robin Williams and the Stages of Math
i) shock & denial
ii) anger
iii) bargaining
iv) depression
v) acceptance
A related description of the process —
“You know how sometimes someone tells you a theorem,
and it’s obviously false, and you reach for one of the many
easy counterexamples only to realize that it’s not a
counterexample after all, then you reach for another one
and another one and find that they fail too, and you begin
to concede the possibility that the theorem might not
actually be false after all, and you feel your world start to
shift on its axis, and you think to yourself: ‘Why did no one
tell me this before?’ “
— Tom Leinster yesterday at The n-Category Café
“The yarns of seamen have a direct simplicity, the whole meaning
of which lies within the shell of a cracked nut. But Marlow was not
typical (if his propensity to spin yarns be excepted), and to him the
meaning of an episode was not inside like a kernel but outside,
enveloping the tale which brought it out only as a glow brings out a
haze, in the likeness of one of these misty halos that sometimes
are made visible by the spectral illumination of moonshine.”
— Joseph Conrad in Heart of Darkness
“By groping toward the light we are made to realize
how deep the darkness is around us.”
— Arthur Koestler, The Call Girls: A Tragi-Comedy,
Random House, 1973, page 118
“Spectral evidence is a form of evidence
based upon dreams and visions.” —Wikipedia
See also Moonshine (May 15, 2014) and, from the date of the above
New York Times item, two posts tagged Wunderkammer .
Related material: From the Spectrum program of the Mathematical
Association of America, some non-spectral evidence.
The title, that of a novel by Arthur Koestler,
has appeared before in this journal.
The title was quoted in a Log24 note of
May 29, 2002 (G.K. Chesterton's birthday).
The link in Saturday evening's post to a Chesterton
essay suggested a further search that yielded
the following quotation—
Then silence sank. And slowly
Arose the sea-land lord
Like some vast beast for mystery,
He filled the room and porch and sky,
And from a cobwebbed nail on high
Unhooked his heavy sword.
— G. K. Chesterton,
The Ballad of the White Horse
This, together with some Log24 remarks
from 2004, suggests two images—
Above: A 1955 cover design by Robert Flynn.
The arrow theme also appears in a figure from
John Sealander's Road to Nowhere in the 2004
remarks:
The remarks quoting the Sealander image, from
March 5, 2004, were on mathematics and narrative.
Related material from a year later:
See an announcement, saved from March 16, 2005,
of a conference on mathematics and narrative that
was held in July 2005. Some context: Koestler's novel.
"By groping toward the light we are made to realize how deep the darkness is around us."
— Arthur Koestler, The Call Girls: A Tragi-Comedy , Random House, 1973, page 118
… and Arthur Koestler
The theme of the January 2010 issue of the
Notices of the American Mathematical Society was “Mathematics and the Arts.”
Related material:
|
See also two posts from the day Peter Jennings died—
The New Yorker 's review of The Great Escape (Simon & Schuster, $27), by Kati Marton—
"Marton, who fled Hungary as a child in 1957, illuminates Budapest's vertiginous Golden Age and the darkness that followed (a darkness that some of her subjects, notably Arthur Koestler, never shook)."
— Issue dated November 6, 2006
See also The Ninth Gate in this journal and the life of Marton's second husband, Peter Jennings.
Hexagram 55 "Be not sad. |
A Meditation on the NY Lottery of May 29
Yesterday's NY Lottery— Midday 981, Evening 275.
As noted in yesterday morning's linked-to post,
The Shining of May 29…
"By groping toward the light we are made to realize
how deep the darkness is around us."
— Arthur Koestler, The Call Girls: A Tragi-Comedy ,
Random House, 1973, page 118
One interpretation of the mystic numbers revealed by the Lottery yesterday—
981 as the final page* of David Foster Wallace's famed novel Infinite Jest …
275 as a page in Wallace's non-fiction book about infinity Everything and More …
Gregory Chaitin points out that this is nonsense …
As noted elsewhere in this journal, I have a different concept of "math's absolute
Prince of Darkness"— and, indeed, of a "quest for Omega." (See posts of May 2010.)
Yesterday's numbers indicate a different struggle between darkness and light—
Light —
Darkness —
* From infinitesummer.org/archives/168 — "A note about editions:
As it turns out, all (physical) editions of Infinite Jest have 981 pages:
the one from 1996, the one from 2004, the paperback, the hardcover, etc.
A big thank you to the men and women in the publishing industry who
were kind and/or lazy enough to keep things consistent."
Also known, roughly speaking, as confluence or the Church-Rosser property.
From “NYU Lambda Seminar, Week 2” —
[See also the parent page Seminar in Semantics / Philosophy of Language or:
What Philosophers and Linguists Can Learn From Theoretical Computer Science But Didn’t Know To Ask)]
A computational system is said to be confluent, or to have the Church-Rosser or diamond property, if, whenever there are multiple possible evaluation paths, those that terminate always terminate in the same value. In such a system, the choice of which sub-expressions to evaluate first will only matter if some of them but not others might lead down a non-terminating path.
The untyped lambda calculus is confluent. So long as a computation terminates, it always terminates in the same way. It doesn’t matter which order the sub-expressions are evaluated in.
A computational system is said to be strongly normalizing if every permitted evaluation path is guaranteed to terminate. The untyped lambda calculus is not strongly normalizing: ω ω
doesn’t terminate by any evaluation path; and (\x. y) (ω ω)
terminates only by some evaluation paths but not by others.
But the untyped lambda calculus enjoys some compensation for this weakness. It’s Turing complete! It can represent any computation we know how to describe. (That’s the cash value of being Turing complete, not the rigorous definition. There is a rigorous definition. However, we don’t know how to rigorously define “any computation we know how to describe.”) And in fact, it’s been proven that you can’t have both. If a computational system is Turing complete, it cannot be strongly normalizing.
There is no connection, apart from the common reference to an elementary geometric shape, between the use of “diamond” in the above Church-Rosser sense and the use of “diamond” in the mathematics of (Cullinane’s) Diamond Theory.
Any attempt to establish such a connection would, it seems, lead quickly into logically dubious territory.
Nevertheless, in the synchronistic spirit of Carl Jung and Arthur Koestler, here are some links to such a territory —
Link One — “Insane Symmetry” (Click image for further details)—
See also the quilt symmetry in this journal on Christmas Day.
Link Two — Divine Symmetry
(George Steiner on the Name in this journal on Dec. 31 last year (“All about Eve“)) —
“The links are direct between the tautology out of the Burning Bush, that ‘I am’ which accords to language the privilege of phrasing the identity of God, on the one hand, and the presumptions of concordance, of equivalence, of translatability, which, though imperfect, empower our dictionaries, our syntax, our rhetoric, on the other. That ‘I am’ has, as it were, at an overwhelming distance, informed all predication. It has spanned the arc between noun and verb, a leap primary to creation and the exercise of creative consciousness in metaphor. Where that fire in the branches has gone out or has been exposed as an optical illusion, the textuality of the world, the agency of the Logos in logic—be it Mosaic, Heraclitean, or Johannine—becomes ‘a dead letter.'”
– George Steiner, Grammars of Creation
(See also, from Hanukkah this year, A Geometric Merkabah and The Dreidel is Cast.)
Link Three – Spanning the Arc —
Part A — Architect Louis Sullivan on “span” (see also Kindergarten at Stonehenge)
Part B — “Span” in category theory at nLab —
Also from nLab — Completing Spans to Diamonds
“It is often interesting whether a given span in some partial ordered set can be completed into a diamond. The property of a collection of spans to consist of spans which are expandable into diamonds is very useful in the theory of rewriting systems and producing normal forms in algebra. There are classical results e.g. Newman’s diamond lemma, Širšov-Bergman’s diamond lemma (Širšov is also sometimes spelled as Shirshov), and Church-Rosser theorem (and the corresponding Church-Rosser confluence property).”
The concepts in this last paragraph may or may not have influenced the diamond theory of Rudolf Kaehr (apparently dating from 2007).
They certainly have nothing to do with the Diamond Theory of Steven H. Cullinane (dating from 1976).
For more on what the above San Francisco art curator is pleased to call “insane symmetry,” see this journal on Christmas Day.
For related philosophical lucubrations (more in the spirit of Kaehr than of Steiner), see the New York Times “The Stone” essay “Span: A Remembrance,” from December 22—
“To understand ourselves well,” [architect Louis] Sullivan writes, “we must arrive first at a simple basis: then build up from it.”
Around 300 BC, Euclid arrived at this: “A point is that which has no part. A line is breadthless length.”
See also the link from Christmas Day to remarks on Euclid and “architectonic” in Mere Geometry.
"What exactly was Point Omega?"
This is Robert Wright in Nonzero: The Logic of Human Destiny.
Wright is discussing not the novel Point Omega by Don DeLillo,
but rather a (related) concept of the Jesuit philosopher Pierre Teilhard de Chardin.
My own idiosyncratic version of a personal "point omega"—
The circular sculpture in the foreground
is called by the artist "The Omega Point."
This has been described as
"a portal that leads in or out of time and space."
For some other sorts of points, see the drawings
on the wall and Geometry Simplified—
The two points of the trivial affine space are represented by squares,
and the one point of the trivial projective space is represented by
a line segment separating the affine-space squares.
For related darkness at noon, see Derrida on différance
as a version of Plato's khôra—
The above excerpts are from a work on and by Derrida
published in 1997 by Fordham University,
a Jesuit institution— Deconstruction in a Nutshell—
For an alternative to the Villanova view of Derrida,
see Angels in the Architecture.
"By groping toward the light we are made to realize
how deep the darkness is around us."
— Arthur Koestler, The Call Girls: A Tragi-Comedy,
Random House, 1973, page 118
A 1973 review of Koestler's book—
"Koestler's 'call girls,' summoned here and there
by this university and that foundation
to perform their expert tricks, are the butts
of some chilling satire."
Examples of Light—
Felix Christian Klein (1849- June 22, 1925) and Évariste Galois (1811-1832)
Klein on Galois—
"… in France just about 1830 a new star of undreamt-of brilliance— or rather a meteor, soon to be extinguished— lighted the sky of pure mathematics: Évariste Galois."
— Felix Klein, Development of Mathematics in the 19th Century, translated by Michael Ackerman. Brookline, Mass., Math Sci Press, 1979. Page 80.
"… um 1830 herum in Frankreich als ein neuer Stern von ungeahntem Glanze am Himmel der reinen Mathematik aufleuchtet, um freilich, einem Meteor gleich, sehr bald zu verlöschen: Évariste Galois."
— Felix Klein, Vorlesungen Über Die Entwicklung Der Mathematick Im 19. Jahrhundert. New York, Chelsea Publishing Co., 1967. (Vol. I, originally published in Berlin in 1926.) Page 88.
Examples of Darkness—
Martin Gardner on Galois—
"Galois was a thoroughly obnoxious nerd,
suffering from what today would be called
a 'personality disorder.' His anger was
paranoid and unremitting."
Gardner was reviewing a recent book about Galois by one Amir Alexander.
Alexander himself has written some reviews relevant to the Koestler book above.
See Alexander on—
The 2005 Mykonos conference on Mathematics and Narrative
A series of workshops at Banff International Research Station for Mathematical Innovation between 2003 and 2006. "The meetings brought together professional mathematicians (and other mathematical scientists) with authors, poets, artists, playwrights, and film-makers to work together on mathematically-inspired literary works."
Leibniz Medal Background: |
Related material— Street of the Fathers and Game Over.
Continued from yesterday evening's "Long Day's Journey into Nighttown"—
A detail from that post—
Related material from Nighttown—
The Sebastian Horsley Guide to Whoring—
Horsley, the author of Dandy in the Underworld, was
found dead this morning of a suspected heroin overdose.
"By groping toward the light we are made to realize
how deep the darkness is around us."
— Arthur Koestler, The Call Girls: A Tragi-Comedy,
Random House, 1973, page 118
David Levine's portrait of Arthur Koestler (see Dec. 30, 2009) —
See also this morning's post as well as
Monday's post quoting George David Birkhoff —
"If I were a Leibnizian mystic… I would say that…
God thinks multi-dimensionally — that is,
uses multi-dimensional symbols beyond our grasp."
The late mathematician V.I. Arnold was born on this date in 1937.
"By groping toward the light we are made to realize
how deep the darkness is around us."
— Arthur Koestler, The Call Girls: A Tragi-Comedy
Light
Choosing light rather than darkness, we observe Arnold's birthday with a quotation from his 1997 Paris talk 'On Teaching Mathematics.'
"The Jacobi identity (which forces the heights of a triangle to cross at one point) is an experimental fact…."
The "experimental fact" part, perhaps offered with tongue in cheek, is of less interest than the assertion that the Jacobi identity forces the altitude-intersection theorem.
Albert Einstein on that theorem in the "holy geometry book" he read at the age of 12—
"Here were assertions, as for example the intersection of the three altitudes of a triangle in one point, which– though by no means evident– could nevertheless be proved with such certainty that any doubt appeared to be out of the question. This lucidity and certainty made an indescribable impression upon me.”
Arnold's much less evident assertion about altitudes and the Jacobi identity is discussed in "Arnol'd, Jacobi identity, and orthocenters" (pdf) by Nikolai V. Ivanov.
Ivanov says, without giving a source, that the altitudes theorem "was known to Euclid." Alexander Bogomolny, on the other hand, says it is "a matter of real wonderment that the fact of the concurrency of altitudes is not mentioned in either Euclid's Elements or subsequent writings of the Greek scholars. The timing of the first proof is still an open question."
For other remarks on geometry, search this journal for the year of Arnold's birth.
"Why is a raven like a writing-desk?" — Alice's Adventures in Wonderland
Arthur Koestler, The Roots of Coincidence —
"In his The Nature of the Physical World (1928) Sir Arthur Eddington introduced his famous 'parable of the two writing desks.' One is the antique piece of furniture on which his elbows solidly rest while writing; the other is the desk as the physicist conceives it, consisting almost entirely of empty space, sheer nothingness…. Eddington concluded:
In the world of physics we watch a shadowgraph performance of familiar life. The shadow of my elbow rests on the shadow-table as the shadow-ink flows over the shadow-paper….
Though the constituents of matter could be described with great mathematical accuracy as patterns of vibrations, the question remained— what was it that vibrated? On the one hand, these matter-waves produced physically real phenomena, such as interference patterns on a screen, or the currents in a transistor radio. On the other hand, the whole conception of matter-waves excludes by definition any medium with physical attributes as a carrier of the waves. A wave is movement; but what is that something that moves, producing the shadows on Eddington's shadow-desk? Short of calling it the grin of the Cheshire Cat, it was named the 'psi field' or 'psi function.'"
What is it that moves? Perhaps not the Cheshire Cat, but rather The Raven—
Closeup, he’s blue—streaked iris blue, india-ink blue—and
black—an oily, fiery set of blacks—none of them
true—as where hate and order touch—something that cannot
become known. Stages of black but without
graduation. So there is no direction.
All of this happened, yes.
— Jorie Graham, "The Dream of the Unified Field"
See also notes on darkness in this journal.
"By groping toward the light we are made to realize
how deep the darkness is around us."
— Arthur Koestler, The Call Girls: A Tragi-Comedy,
Random House, 1973, page 118
Continued from Christmas 2009 and from last Sunday—
The serious reflection is composed
Neither of comic nor tragic but of commonplace."
Anne Applebaum in the current New York Review of Books on Arthur Koestler—
"At the moment, he still seems like yesterday's man, unfashionable and obsolete."
Rather like God. See this journal yesterday– Darkness at Noon.
See also David Levine's portrait of Koestler (Dec. 30, 2009)–
— and an objective correlative to yesterday's post —
NY Times obituary of Knox Burger,
book editor and agent, who died at 87 on January 4—
"As a magazine editor in the 1950s, Knox Burger published Kurt Vonnegut’s first short story….
During Mr. Burger’s tenure at Collier’s, a short story by Vonnegut, whom he had known slightly when both were at Cornell and who was then working in public relations for General Electric, crossed his desk. He asked for changes, which Vonnegut made, and the story, 'Report on the Barnhouse Effect,' appeared in the magazine in February 1950. It was the first published work of fiction for Vonnegut, who recounted the episode decades later….
At least half a dozen authors… honored Mr. Burger by dedicating books to him. Vonnegut, who died in 2007, did, too. His dedication of Welcome to the Monkey House, a 1968 collection of short stories that included 'Report on the Barnhouse Effect,' read:
'To Knox Burger. Ten days older than I am. He has been a very good father to me.'"
A Jesuit at the
Gerard Manley Hopkins Archive—
"Bisociation": The Act of Creation
"Koestler’s concept of ‘bisociation’… enters into the very ‘act of creation.’ In every such act, writes Koestler, the creator ‘bisociates,’ that is, combines, two ‘matrices’– two diverse patterns of knowing or perceiving– in a new way. As each matrix carries its own images, concepts, values, and ‘codes,’ the creative person brings together– ‘bisociates’– two diverse matrices not normally connected."
– Joseph J. Feeney, S.J.
Robert Stone in A Flag for Sunrise
(Knopf hardcover, 1981)–
"The eye you see him with is the same eye with which he sees you."
– Father Egan on page 333
Pablo on page 425–
"'…You know, he told me– that old man told me– the eye you look at it with, well, that's the eye it sees you with. That's what he told me.'
Holliwell was moved to recall an experiment he had once read about; he had clipped the report of it for his class. An experimenter endeavoring to observe chimpanzee behavior had fashioned a spy hole in the door of the animals' chamber through which he might watch them unobserved. Putting his eye to it, he had seen nothing more than what he finally identified as the eye of a chimpanzee on the other side of the door. Ape stuff."
More ape stuff from a Jesuit–
"This Jack, joke, poor potsherd, patch, matchwood, immortal diamond,
Is immortal diamond."
— Gerard Manley Hopkins,
"That Nature is a Heraclitean Fire
and of the comfort of the Resurrection"
More ape stuff from myself–
Problem: Perform this transformation
by combining the sorts of permutations allowed
in the diamond puzzle. A solution: click here.
A Medal
In memory of Byzantine scholar Ihor Sevcenko,
who died at 87 on St. Stephen's Day, 2009–
William Grimes on Sevcenko in this morning's New York Times:
"Perhaps his most fascinating, if uncharacteristic, literary contribution came shortly after World War II, when he worked with Ukrainians stranded in camps in Germany for displaced persons. In April 1946 he sent a letter to Orwell, asking his permission to translate 'Animal Farm' into Ukrainian for distribution in the camps. The idea instantly appealed to Orwell, who not only refused to accept any royalties but later agreed to write a preface for the edition. It remains his most detailed, searching discussion of the book." |
See also a rather different medal discussed
here in the context of an Orwellian headline from
The New York Times on Christmas morning,
the day before Sevcenko died.
That headline, at the top of the online front page,
was "Arthur Koestler, Man of Darkness."
The medal, offered as an example of brightness
to counteract the darkness of the Times, was designed
by Leibniz in honor of his discovery of binary arithmetic.
See Brightness at Noon and Brightness continued.
"By groping toward the light we are made to realize
how deep the darkness is around us."
— Arthur Koestler, The Call Girls: A Tragi-Comedy,
Random House, 1973, page 118
Arthur Koestler by David Levine,
New York Review of Books,
December 17, 1964
A Jesuit at the Gerard Manley Hopkins Archive: ‘Bisociation’: The Act of Creation Koestler’s concept of ‘bisociation’… enters into the very ‘act of creation.’ In every such act, writes Koestler, the creator ‘bisociates,’ that is, combines, two ‘matrices’– two diverse patterns of knowing or perceiving– in a new way. As each matrix carries its own images, concepts, values, and ‘codes,’ the creative person brings together– ‘bisociates’– two diverse matrices not normally connected. — Joseph J. Feeney, S.J. |
See also December 9, 2009:
The theme of the January 2010 issue of the
Notices of the American Mathematical Society
is “Mathematics and the Arts.”
Related material:
This journal’s Christmas Day entry, Brightness at Noon, was in response to the Orwellian headline “Arthur Koestler, Man of Darkness,” at the top of the online New York Times front page on Christmas morning.
The entry offered, as an example of brightness, some thoughts of Leibniz on his discovery of binary arithmetic.
Related material:
“To make all things from nothing, unity suffices.” So it is written on a medal entitled Imago Creationis and designed by Leibniz to “exhibit to posterity in silver” his discovery of the binary system. Baron Gottfried Wilhelm von Leibniz (also Leibnitz) 1646-1716. Philosopher and mathematician. Invented calculus independently of Newton. Proposed the metaphysical theory that we live in “the best of all possible worlds.” He also discovered binary number system and believed in its profound metaphysical significance. He noticed similarity with the ancient Chinese divination system “I Ching.” We chose him for our patron, for Krawtchuk polynomials can be understood as a sophistication of the simple counting of 0 and 1… — Philip Feinsilver and Jerzy Kocik, 17 July 2001 |
From Mikhail Krawtchouk: Short Biography—
Anyone knowing even a little Soviet history of the thirties can conclude that Krawtchouk could not avoid the Great Terror. During the Orwellian “hours of hatred” in 1937 he was denounced as a “Polish spy,” “bourgeois nationalist,” etc. In 1938, he was arrested and sentenced to 20 years of confinement and 5 years of exile.
Academician Krawtchouk, the author of results which became part of the world’s mathematical knowledge, outstanding lecturer, member of the French, German, and other mathematical societies, died on March 9, 1942, in Kolyma branch of the GULAG (North-Eastern Siberia) more than 6 months short of his 50th birthday.
Incidentally, happy birthday
to John von Neumann.
New York Times online front page
Christmas morning:
"Arthur Koestler, Man of Darkness"–
The photo is of Koestler in 1931 on a zeppelin expedition to the North Pole.
"The Act of Creation is, I believe, a more truly creative work than any of Koestler’s novels…. According to him, the creative faculty in whatever form is owing to a circumstance which he calls ‘bisociation.’ And we recognize this intuitively whenever we laugh at a joke, are dazzled by a fine metaphor, are astonished and excited by a unification of styles, or ’see,’ for the first time, the possibility of a significant theoretical breakthrough in a scientific inquiry. In short, one touch of genius—or bisociation—makes the whole world kin. Or so Koestler believes.”
– Henry David Aiken, The Metaphysics of Arthur Koestler, New York Review of Books, Dec. 17, 1964
From Opus Postumum by Immanuel Kant, Eckart Förster, Cambridge U. Press, 1995, p. 260:
"In January 1697, Leibniz accompanied his New Year Congratulations to Rudolf August with the design of a medal with the duke's likeness on one side, and the 'image of Creation' in terms of the binary number system on the other. Concerning the inscription on this side, Leibniz writes: 'I have thought for a while about the Motto dell'impresa and finally have found it good to write this line: omnibus ex nihilo ducendis SUFFICIT UNUM [To make all things from nothing, UNITY SUFFICES], because it clearly indicates what is meant by the symbol, and why it is imago creationis' (G. F. Leibniz, Zwei Briefe über das binäre Zahlensystem und die chinesische Philosophie, ed. Renate Loosen and Franz Vonessen, Chr. Belser Verlag: Stuttgart 1968, p. 21)."
Figure from Rudolf Nolte’s
Gottfried Wilhelms Baron von Leibniz
Mathematischer Beweis der Erschaffung und
Ordnung der Welt in einem Medallion…
(Leipzig: J. C. Langenheim, 1734).
"And so that I won’t come entirely empty-handed this time, I enclose a design of that which I had the pleasure of discussing with you recently. It is in the form of a memorial coin or medallion; and though the design is mediocre and can be improved in accordance with your judgment, the thing is such, that it would be worth showing in silver now and unto future generations, if it were struck at your Highness’s command. Because one of the main points of the Christian Faith, and among those points that have penetrated least into the minds of the worldly-wise and that are difficult to make with the heathen is the creation of all things out of nothing through God’s omnipotence, it might be said that nothing is a better analogy to, or even demonstration of such creation than the origin of numbers as here represented, using only unity and zero or nothing. And it would be difficult to find a better illustration of this secret in nature or philosophy; hence I have set on the medallion design IMAGO CREATIONIS [in the image of creation]. It is no less remarkable that there appears therefrom, not only that God made everything from nothing, but also that everything that He made was good; as we can see here, with our own eyes, in this image of creation. Because instead of there appearing no particular order or pattern, as in the common representation of numbers, there appears here in contrast a wonderful order and harmony which cannot be improved upon….
Such harmonious order and beauty can be seen in the small table on the medallion up to 16 or 17; since for a larger table, say to 32, there is not enough room. One can further see that the disorder, which one imagines in the work of God, is but apparent; that if one looks at the matter with the proper perspective, there appears symmetry, which encourages one more and more to love and praise the wisdom, goodness, and beauty of the highest good, from which all goodness and beauty has flowed."
See also Parable.
A Sequel to Koestler's
The Call Girls
Gilles Deleuze, Negotiations 1972-1990,
Columbia University Press paperback, 1997, p. 137–
"Academics' lives are seldom interesting."
But then there is Matt Lee of the University of Greenwich.
See his weblog subtitled "notes and thoughts on philosophy"… particularly his post "Diamond time, daimon time," of August 20, 2009.
See also my own post of August 20, 2009– "Sophists"– and my earlier post "Daimon Theory" of March 12, 2003:
More about Lee:
"Chaos majik is a form of modern witchcraft."
More about magick:
Noetic Symbology
(Log24 on October 25, 2009)
From Koestler’s Darkness at Noon, a fictional Communist on propaganda:
“It is necessary to hammer every sentence into the masses by repetition and simplification. What is presented as right must shine like gold; what is presented as wrong must be black as pitch.”
Thanks for this quotation to Kati Marton, author of The Great Escape: Nine Jews Who Fled Hitler and Changed the World (Simon & Schuster, paperback edition Nov. 6, 2007). One of Marton’s nine was Koestler.
From another book related to this exodus:
“Riesz was one of the most elegant mathematical writers in the world, known for his precise, concise, and clear expositions. He was one of the originators of the theory of function spaces– an analysis which is geometrical in nature.”
— Stanislaw Ulam, Adventures of a Mathematician
And from Gian-Carlo Rota, a friend of Ulam:
“Riesz’s example is well worth following today.”
Related material: Misunderstanding in the Theory of Design and Geometry for Jews.
For a different approach to ethnicity and the number nine that is also “geometrical in nature,” see The Pope in Plato’s Cave and the four entries preceding it, as well as A Study in Art Education.
(at Google News):
In other words:
|
Revelation for
April 16, 2008 —
day of the Pennsylvania
Clinton-Obama debate and
of the Pope’s birthday —
The Pennsylvania Lottery:
Make of this revelation
what you will.
My own interpretations:
the Lichtung of 4/13 and
the Dickung of page 441
of Heidegger’s
Basic Writings, where
the terms Lichtung and
Dickung are described.
See also “The Shining of
May 29” (JFK’s birthday).
“By groping toward the light
we are made to realize
how deep the darkness is
around us.”
— Arthur Koestler,
The Call Girls:
A Tragi-Comedy
Happy birthday, Robert M. Pirsig.
Readings for the hour of the wolf:
Yesterday was Arthur Koestler’s birthday.
“By groping toward the light
we are made to realize
how deep the darkness is
around us.”
— Arthur Koestler,
The Call Girls: A Tragi-Comedy,
Random House, 1973, page 118
For John F. Kennedy's birthday:
See The Shining of May 29
from 2002
and the references to
the marriage theorem
in Dharwadker's Alleged Proof
from 2005.
"By groping toward the light
we are made to realize
how deep the darkness is
around us."
— Arthur Koestler,
The Call Girls: A Tragi-Comedy,
Random House, 1973, page 118
For related material on
academic darkness, see
Mathematics and Narrative.
Quarter to Three
(continued from
Dec. 20, 2003,
and from
April 3, 2006)
… so put another nickel in the machine….
Related material:
— Arthur Koestler
It turns out that Medawar (see previous entry) also wrote a deeply hostile review of Koestler’s The Act of Creation. (See Pluto’s Republic.)
There are plenty more like Medawar, so it may be that a further effort at documentation of Diamond Theory is needed. See this evening’s entry, to follow.
“What did he fear? It was not a fear or dread, It was a nothing that he knew too well. It was all a nothing and a man was a nothing too. It was only that and light was all it needed and a certain cleanness and order. Some lived in it and never felt it but he knew it all was nada y pues nada y nada y pues nada. Our nada who art in nada, nada be thy name thy kingdom nada thy will be nada in nada as it is in nada. Give us this nada our daily nada and nada us our nada as we nada our nadas and nada us not into nada but deliver us from nada; pues nada. Hail nothing full of nothing, nothing is with thee.”
“By groping toward the light we are made to realize how deep the darkness is around us.” — Arthur Koestler, The Call Girls: A Tragi-Comedy, Random House, 1973, page 118 |
“It would have been |
“He’s good.”
“Good? He’s the fucking
Prince of Darkness!”
— Paul Newman
and Jack Warden
in “The Verdict“
Sanskrit (transliterated) —
nada: “So Nada Brahma means not only: — Joachim-Ernst Berendt, |
“This book is the outcome of
a course given at Harvard
first by G. W. Mackey….”
— Lynn H. Loomis, 1953, preface to
An Introduction to
Abstract Harmonic Analysis
For more on Mackey and Harvard, see
the Log24 entries of March 14-17.
“In The Painted Word, a rumination on the state of American painting in the 1970s, Tom Wolfe described an epiphany….”
— Peter Berkowitz, “Literature in Theory”
“I had an epiphany.”
— Apostolos Doxiadis, organizer of last summer’s conference on mathematics and narrative. See the Log24 entry of 1:06 PM last August 23 and the four entries that preceded it.
“… das Durchleuchten des ewigen Glanzes des ‘Einen’ durch die materielle Erscheinung“
— A definition of beauty from Plotinus, via Werner Heisenberg
“By groping toward the light we are made to realize how deep the darkness is around us.”
— Arthur Koestler, The Call Girls: A Tragi-Comedy, Random House, 1973, page 118, quoted in The Shining of May 29
“Perhaps we are meant to see the story as a cubist retelling of the crucifixion….”
— Adam White Scoville, quoted in Cubist Crucifixion, on Iain Pears’s novel, An Instance of the Fingerpost
Readings for
St. Patrick's Day
Time of this entry: 12:00:36 PM.
Hence,
"Here the climax of the darkening is reached. The dark power at first held so high a place that it could wound all who were on the side of good and of the light. But in the end it perishes of its own darkness, for evil must itself fall at the very moment when it has wholly overcome the good, and thus consumed the energy to which it owed its duration."
Narrativity: Theory and Practice, by Philip John Moore Sturgess
Sturgess's book deals with the narrative logic of the above novels by Koestler and Conrad, as well as some Irish material:
Narrativity: Theory and Practice | |||||||||||||||||||||||||||||||||||||||||||||||||||
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These readings are in opposition to the works of Barbara Johnson published by Harvard University Press.
For some background, see The Shining of May 29 (JFK's birthday).
Discussion question:
In the previous entry, who represents the
Hexagram 36 "dark power"
Scoop
This afternoon I came across, in a briefcase I seldom use, two books I had not looked at since I bought them last month:
At the time I purchased the books, indeed until I looked up Iles on the Web today, I was not aware of the Mississippi connection. Their physical connection, lying together today in my briefcase, is, of course, purely coincidental. My view of coincidence is close to that of Arthur Koestler, who wrote The Challenge of Chance and The Roots of Coincidence, and to that of Loren Eiseley, who wrote of a dice game and of "the Other Player" in his autobiography, All the Strange Hours.
A Log24 entry yesterday referred to a comedic novel on the role of chance in physics, Cosmic Banditos. Today's New York Times quotes an entertainer who referred to President Bush yesterday, at a political fund-raiser, as a bandito. Another coincidence… this one related directly to the philosophy of coincidences expounded jokingly in Cosmic Banditos.
I draw no conclusions from such coincidences, but they do inspire me to look a little deeper into life's details — where, some say, God is. Free association on these details, together with a passage in Sanctuary, inspired the following collage:
Faulkner on a trinity of women
in Sanctuary (Ch. 25):
"When I was helping Frito corn chips expand its core user group in the mid-'90s, we didn't ask Frito-Lay to just wave the Fritos banner. The brand was elevated to a place where it could address its core users in a way that was relevant to their lifestyle. We took the profile of the audience and created a campaign starring Reba McEntire. It captured the brand's essence, and set Frito eaters amidst good music, good people, and good fun."
Loren Eiseley,
Notes of an Alchemist:
I never found
the hole in the wall;
I never found
Pancho Villa country
where you see the enemy first.
— "The Invisible Horseman"
Parable
"A comparison or analogy. The word is simply a transliteration of the Greek word: parabolé (literally: 'what is thrown beside' or 'juxtaposed'), a term used to designate the geometric application we call a 'parabola.'…. The basic parables are extended similes or metaphors."
— http://religion.rutgers.edu/nt/
primer/parable.html
"If one style of thought stands out as the most potent explanation of genius, it is the ability to make juxtapositions that elude mere mortals. Call it a facility with metaphor, the ability to connect the unconnected, to see relationships to which others are blind."
— Sharon Begley, "The Puzzle of Genius," Newsweek magazine, June 28, 1993, p. 50
"The poet sets one metaphor against another and hopes that the sparks set off by the juxtaposition will ignite something in the mind as well. Hopkins’ poem 'Pied Beauty' has to do with 'creation.' "
— Speaking in Parables, Ch. 2, by Sallie McFague
"The Act of Creation is, I believe, a more truly creative work than any of Koestler's novels…. According to him, the creative faculty in whatever form is owing to a circumstance which he calls 'bisociation.' And we recognize this intuitively whenever we laugh at a joke, are dazzled by a fine metaphor, are astonished and excited by a unification of styles, or 'see,' for the first time, the possibility of a significant theoretical breakthrough in a scientific inquiry. In short, one touch of genius—or bisociation—makes the whole world kin. Or so Koestler believes."
— Henry David Aiken, The Metaphysics of Arthur Koestler, New York Review of Books, Dec. 17, 1964
For further details, see
Speaking in Parables:
A Study in Metaphor and Theology
by Sallie McFague
Fortress Press, Philadelphia, 1975
Introduction
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
"Perhaps every science must start with metaphor and end with algebra; and perhaps without metaphor there would never have been any algebra."
— attributed, in varying forms (1, 2, 3), to Max Black, Models and Metaphors, 1962
For metaphor and algebra combined, see
"Symmetry invariance in a diamond ring," A.M.S. abstract 79T-A37, Notices of the Amer. Math. Soc., February 1979, pages A-193, 194 — the original version of the 4×4 case of the diamond theorem.
Eleven Years Ago Today…
On October 23, 1991, I placed in my (paper) journal various entries that would remind me of the past… of Cuernavaca, Mexico, and a girl I knew there in 1962. One of the entries dealt with a book by Arthur Koestler, The Challenge of Chance. A search for links related to that book led to the following site, which I find very interesting:
http://www.geocities.com/Athens/2740/.
This is a commonplace-book site, apparently a collection of readings for the end of the century and millennium. No site title or owner is indicated, but the readings are excellent. Accepting the challenge of chance, I reproduce one of the readings… The author was not writing about Cuernavaca, but may as well have been.
From Winter’s Tale, Harcourt Brace (1983):
Four Gates to the CityBy MARK HELPRIN Every city has its gates, which need not be of stone. Nor need soldiers be upon them or watchers before them. At first, when cities were jewels in a dark and mysterious world, they tended to be round and they had protective walls. To enter, one had to pass through gates, the reward for which was shelter from the overwhelming forests and seas, the merciless and taxing expanse of greens, whites, and blues–wild and free–that stopped at the city walls. In time the ramparts became higher and the gates more massive, until they simply disappeared and were replaced by barriers, subtler than stone, that girded every city like a crown and held in its spirit. Some claim that the barriers do not exist, and disparage them. Although they themselves can penetrate the new walls with no effort, their spirits (which, also, they claim do not exist) cannot, and are left like orphans around the periphery. To enter a city intact it is necessary to pass through one of the new gates. They are far more difficult to find than their solid predecessors, for they are tests, mechanisms, devices, and implementations of justice. There once was a map, now long gone, one of the ancient charts upon which colorful animals sleep or rage. Those who saw it said that in its illuminations were figures and symbols of the gates. The east gate was that of acceptance of responsibility, the south gate that of the desire to explore, the west gate that of devotion to beauty, and the north gate that of selfless love. But they were not believed. It was said that a city with entryways like these could not exist, because it would be too wonderful. Those who decide such things decided that whoever had seen the map had only imagined it, and the entire matter was forgotten, treated as if it were a dream, and ignored. This, of course, freed it to live forever. |
The Fourth Man:
In Lieu of Rosebud, Part III
Carlos Castañeda, who led
El Nuevo Herald, dies at 70
Carlos Castañeda, the publisher emeritus of El Nuevo Herald whose passionate belief in a free press helped guide several newspapers across Latin America, died Thursday morning in Lisbon, Portugal. He was 70.
From a site titled |
The Active Side of Infinityby Carlos CastañedaCarlos’ last book before his untimely death. In his desperate search for meaning, Carlos recapitulates Don Juan’s teachings in perhaps his best effort. The nature of silence, and the statement that the egoic mind is a foreign implant, give deep resonance to these final teachings of Don Juan. |
Arthur Koestler’s somewhat more respectable mystical thoughts about infinity may be found here. Related material: my September 5 entry, Arrow in the Blue.
Added ca. 10 to 11:40 p.m. October 11, 2002:
A review of Castaneda seems in order… the bad Carlos, not the good Carlos. (The bad Carlos being, of course, the bullshit artist who apparently died in 1998, and the good Carlos the publisher who died yesterday.)
From the LiveJournal site of fermina —
Today’s Public Service Message:
Hi. You’re going to die. |
My comment:
From a review of Carlos Castaneda’s last book, The Active Side of Infinity:
“We wind up learning something more of Castaneda but not much at all about the active side of infinity, which is mystically translated as ‘intent.’ It appears that we ought to live with intent, never forgetting that we will die, regardless. Death (and the knowledge of it) should thus inform all of our actions and relationships, providing a perspective and enforcing our humility. This is hardly an original idea, and it can’t justify wading through Castaneda’s welter of self-indulgence, which might translate better to a bumper-sticker adage.”
Hmm… What adage might that be?
As for the good Carlos, see “In Lieu of Rosebud, Part II,” below… As was said of Saint Francis Borgia, whose feast is celebrated on the day good Carlos died, he
rendered glorious a name which, but for him, would have remained a source of humiliation.
Arrow in the Blue
A description by Arthur Koestler (born Sept. 5, 1905) of a
close encounter with the divine:
“…a wordless essence, a fragrance of eternity, a quiver of the arrow in the blue.”
Koestler also mentions the “blue Andalusian sky.”
Some thoughts suggested by the above and by the Sept. 5, 2002, New York Times story on the first anniversary of the murder of the Mexican lawyer
1. The blue of the Andalusian sky is essentially the same as the blue of the sky above Baja California. See photographs of the last Jesuit mission in Mexico,
2. A Google search for “blue Andalusian sky” yielded two results: the Koestler page quoted above, and a page on the Gypsy film “Vengo.” For a reasonable likeness of St. Sara, patron saint of the Gypsies, also known as The Dark Lady, also known as Kali, see the poster of dancer
Sara Baras at Flamenco-world.com.
“MONCHO ELCHE, ALICANTE, ESPAÑA |
For the music Sara dances to, composed and played by Jesús de Rosario, listen to audio clips at
Juana la Loca: Vivir por Amor.
3. For an American version of The Dark Lady, see an homage from Catalonia to
For a Harris song that seems appropriate to the blue-sky theme above, see
Trifecta
Born today: Arthur Koestler,
former Communist and writer on parapsychology
From To Ride Pegasus, by Anne McCaffrey, 1973:
“Mary-Molly luv, it’s going to be accomplished in steps, this establishment of the Talented in the scheme of things. Not society, mind you, for we’re the original nonconformists…. and Society will never permit us to integrate. That’s okay!” He consigned Society to insignificance with a flick of his fingers. “The Talented form their own society and that’s as it should be: birds of a feather. No, not birds. Winged horses! Ha! Yes, indeed. Pegasus… the poetic winged horse of flights of fancy. A bloody good symbol for us. You’d see a lot from the back of a winged horse…”
“Yes, an airplane has blind spots. Where would you put a saddle?” Molly had her practical side.
He laughed and hugged her. Henry’s frequent demonstrations of affection were a source of great delight to Molly, whose own strength was in tactile contacts.
“Don’t know. Lord, how would you bridle a winged horse?”
“With the heart?”
“Indubitably!” The notion pleased him. “Yes, with the heart and the head because Pegasus is too strong a steed to control or subdue by any ordinary method.”
Born today: Darryl F. Zanuck,
producer of “Viva Zapata!”
Director Eliza Kazan consults with scriptwriter John Steinbeck about the production of “Viva Zapata!” in Cuernavaca, Mexico:
When John woke, I asked him, “Isn’t the Syndicate of Film Technicians and Workers here Communist-dominated?”
Elia Kazan on Darryl Zanuck’s insistence that Zapata’s white horse be emphasized:
Darryl made only one suggestion that he was insistent on. He’d stolen it, no doubt, from an old Warner western, but he offered it as if it were pristine stuff. “Zapata must have a white horse,” he said, “and after they shoot him, we should show the horse running free in the mountains — get the idea? A great fade-out.” We got the idea, all right. Darryl was innocent about the symbol in his suggestion, but so enthusiastic about the emotion of it that he practically foamed at the mouth. John’s face was without expression. Actually, while I thought it was corny, the idea worked out well in the end.
Born today: comedian Bob Newhart
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If Kazan hadn’t directed “Viva Zapata!”…
Zanuck would have ended up shouting, “I said a WHITE horse!” |
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