Yesterday's post The Eightfold Cube in Oslo suggests a review of
posts that mention The Lost Crucible.
(The crucible in question is from a book by Katherine Neville,
The Eight . Any connection with Arthur Miller's play "The Crucible"
is purely coincidental.)
A detail from the previous post —
"Last thing I remember,
I was running for the door . . . ."
— Eagles, "Hotel California"
A KUNSTforum.as article online today (translation by Google) —
Update of Sept. 7, 2016: The corrections have been made,
except for the misspelling "Cullinan," which was caused by
Google translation, not by KUNSTforum.
"The quotes create the illusion
that the dead are still speaking
to the reader. Faust writes about
the efforts of spiritualists to believe
in an afterlife for their slain kin, but
she’s the one summoning spirits."
— April Yee, Harvard Crimson
staff writer, February 7, 2008
"0! = 1"
See also yesterday's Into the Woods
and posts now tagged Willow and Mandorla.
This afternoon's online New York Times on the late
Gene Wilder, who reportedly died Sunday night —
"Mr. Wilder’s rule for comedy was simple:
Don’t try to make it funny; try to make it real.
'I’m an actor, not a clown,' he said more than once."
— Daniel Lewis
Update of Sept. 3, 2016 —
See the Chautauqua Season post of June 25
and a search for Notation in this journal.
See as well the previous post and Bullshit Studies .
(A sequel to "Folk Question ," the previous post)
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See also Alexandra Bellow's "Flashbacks of a Mathematical Life"
in the September 2016 Notices of the American Mathematical Society .
A figure from Dec. 27, 2003 —
Quoted here on that date —
“If little else, the brain is an educational toy."
— Tom Robbins, Even Cowgirls Get the Blues
"What else did you get for Christmas?"
— Folk question
See a search for the title in this journal.
Related material:
The incarnation of three permutations,
named A, B, and C,
on the 7-set of digits {1, 2, 3, 4, 5, 6, 7}
as permutations on the eightfold cube.
See Minimal ABC Art, a post of August 22, 2016.
A star figure and the Galois quaternion.
The square root of the former is the latter.
See also a search in this journal for "Set a Structure."
1. Tom Wolfe has a new book on Chomsky, "The Kingdom of Speech."
2. This suggests a review of a post of Aug. 11, 2014, Syntactic/Symplectic.
To paraphrase Wittgenstein, sentence 1 above is about "correlating in real life"
(cf. Crooked House and Wolfe's From Bauhaus to Our House ), and may be
compared to sentence 2 above, which links to a sort of "correlating in
mathematics" that is a particular example of the more general sort of
mathematical correlating mentioned by Wittgenstein in 1939.
The previous post dealt with a talk by Cora Diamond
on April 3, 2015, at 32 Vassar St., Cambridge, Mass.
The MIT building at that address suggests a review
of the phrase "Crooked House" in this journal.
A check of Cora Diamond, editor of the 1976 Wittgenstein
book shown in the previous post, yields …
The date of the above talk was April 3, 2015.
For this journal on that date, see a link, "by Steven H. Cullinane,"
in yesterday's post Core Statements.
(Continued from April 29, Uma Thurman's birthday )
April 29, 2016, was the opening date for a film
about Ramanujan, "The Man Who Knew Infinity,"
as well as Uma Thurman's birthday. (Uma is
named for a Hindu goddess.)
"That in which space itself is contained" — Wallace Stevens
An image by Steven H. Cullinane from April 1, 2013:
The large Desargues configuration of Euclidean 3-space can be
mapped canonically to the 4×4 square of Galois geometry —
On an Auckland University of Technology thesis by Kate Cullinane —
The thesis reportedly won an Art Directors Club award on April 5, 2013.
Today is said to be the 25th anniversary of the
opening to the public of the World Wide Web.
Related material: Click on the above icon for
posts mentioning "Spider Woman."
For an authority on Japanese art —
Text Tiles*
Compare to and contrast with …
Remarks on art, contemplation. and Puritanism
from a recent Princeton University Press book —
“Lucy Lippard distinguished Asian art
(ego-less and contemplative)
from New York Minimalism
(moralistic and puritanical).”
— Mathematics and Art ,
Princeton U. Press, Fall 2015
* Update of Aug. 24, 2016 — See also Nov. 2, 2014.
For the Igor of the title, see the previous post.
See also Log24 on the above Berlin date — April 16, 2016 —
For some historical background, see
the post ABC Art of November 8, 2015.
Fugue No. 21
B-Flat Major
Well-Tempered Clavier Book II
Johann Sebastian Bach
by Timothy A. Smith
Theme and Variations
by Steven H. Cullinane
The beginning of each —
Some context —
See also an obit for Robert Stone by Ashley Southall
rewritten by Bruce Weber.
* The title refers to a Saturday night post of 11:29 PM ET,
"Stone Cold Open," from January 10, 2015.
| 1. e4 |
See also Geometry of the I Ching and "Miracle on 34th Street." |
From a review, in the context of Hollywood, of a Princeton
University Press book on William Blake from 1947 —
The orange and black Princeton colors in the previous post
suggest a review of Halloween 2013 —
The above clickbait was "Recommended by Outbrain." The photo
shown does not appear on the site linked to. Background on the photo —
See also Brainstorm in this journal.
Or, "An Education Continued"
This journal on May 29, 2010, had a followup to
the previous day's post "Multispeech for Oxford"—
An Oxford workshop, "Quantum Physics and Logic," began
on the date of the above Log24 "Packed" post, May 29, 2010.
The first talk was by John Baez —
Baez's notes on his talk begin …
"Duality has many manifestations in logic and physics." —
Yes, it does.
"Brutal choreography and dramatic intelligence"
— Phrase from the subtitle of a review
in The New Yorker , issue dated Aug. 22, 2016
A Midrash for Edmonton
Choreography — Sister Act —
Judy Carne and Hoss in NBC's "Bonanza," a nemesis
of CBS Sunday programming.
Intelligence — These Little Town Blues —
Carey Mulligan and Michael Fassbender in "Shame" (2011).
The New York Times on a film director who reportedly died today —
"Mr. Hiller was born on Nov. 13, 1923, in Edmonton, Alberta,
one of three children of Harry Hiller and the former Rose Garfin,
Jewish immigrants from Poland. His father ran a secondhand
musical instrument store in Edmonton.
His first contact with show business came through his parents,
who formed a community theater in Edmonton to present plays
in Yiddish. He helped his parents build and paint sets, and made
his acting debut at age 11."
Other news from Edmonton —
The images in the previous post do not lend themselves
to any straightforward narrative. Two portions of the
large image search are, however, suggestive —
Cross and Boolean lattice.
The improvised cross in the second pair of images
is perhaps being wielded to counteract the
Boole of the first pair of images. See the heading
of the webpage that is the source of the lattice
diagram toward which the cross is directed —
Update of 10 am on August 16, 2016 —
See also Atiyah on the theology of
(Boolean) algebra vs. (Galois) geometry:
Today Reviews the Concept of "Göpel Inscape ."
Shown below is a condensed version of
Google-as-Galatea's full 11.7 MB image search
based on the two words Göpel inscape .
Continued from earlier posts on Boole vs. Galois.
From a Google image search today for “Galois Boole.”
Click the image to enlarge it.
The previous post dealt with a death on August 6.
On that date nine years earlier —
"Atle Selberg, who had a major influence in mathematics
and especially in analytic number theory during the 20th century,
died on August 6 [2007]. Born on June 14, 1917, in Langesund,
Norway, he received his Ph.D. in 1943 from the University of Oslo. . . ."
— American Mathematical Society, 2007
See also Selberg in this journal —
Click image for the full version of the above post
and some remarks from the date of Selberg's death.
See this evening's online New York Times for
a notable death on August 6, 2016.
Related material: This journal on that date.
Below: The NY Times "Summer Thrills" Sunday Book Review
of July 31, 2016. Click image to enlarge.
Verrückt genug?
The previous post suggests a review of posts tagged Wheeler in this journal.
See also a post from the date of Wheeler's death, The Echo in Plato's Cave.
Peter Galison, a Harvard professor, is a defender of
the Vienna Circle and the religion of Scientism.
From Galison's “Structure of Crystal, Bucket of Dust,” in
Circles Disturbed: The Interplay of Mathematics and Narrative ,
edited by Apostolos Doxiadis and Barry Mazur, pp. 52-78
(Princeton: Princeton U. Press, 2012) …
Galison's final paragraph —
"Perhaps, then, it should not surprise us too much if,
as Wheeler approaches the beginning-end of all things,
there is a bucket of Borelian dust. Out of this filth,
through the proposition machine of quantum mechanics
comes pregeometry; pregeometry makes geometry;
geometry gives rise to matter and the physical laws
and constants of the universe. At once close to and far
from the crystalline story that Bourbaki invoked,
Wheeler’s genesis puts one in mind of Genesis 3:19:
'In the sweat of thy face shalt thou eat bread, till thou
return unto the ground; for out of it wast thou taken:
for dust thou art, and unto dust shalt thou return.' "
For fans of Scientism who prefer more colorful narratives —
(Continued from April 2013 and later)
This is what I called "the large Desargues configuration"
in posts of April 2013 and later.
"Emily Eden … a hardened New York City homicide detective,
goes undercover to investigate the murder of a Hasidic
diamond-cutter."
Midrash — See "Diamond + Dust + Glitter."
"Dust is a fictional elementary particle that is of
fundamental importance within the story."
— Wikipedia on Philip Pullman's His Dark Materials trilogy
A review of posts tagged Kabbalah yields —
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"If all that 'matters' are fundamentally mathematical relationships, then there ceases to be any important difference between the actual and the possible. (Even if you aren't a mathematical Platonist, you can always find some collection of particles of dust to fit any required pattern. In Permutation City this is called the 'logic of the dust' theory.)….
— Danny Yee, review of Permutation City , |
See also in this journal a search for Dark Matter.
"Logos and logic, crystal hypothesis,
Incipit and a form to speak the word
And every latent double in the word…."
— Wallace Stevens,
"Notes Toward a Supreme Fiction,"
Section I, Canto VIII
The novel Blood on Snow , set in Oslo, was published
by Knopf on April 7, 2015. This journal on that date —
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Log24 on Tuesday, April 7, 2015 Filed under: Uncategorized — m759 @ 7:00 PM Seven years ago in this journal —
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A related image —
Obituary for Wilford Stanton Miller, author in 1926
of the Miller Analogies Test —
Marshall McLuhan writing to Ezra Pound on Dec. 21, 1948—
"The American mind is not even close to being amenable
to the ideogram principle as yet. The reason is simply this.
America is 100% 18th Century. The 18th century had
chucked out the principle of metaphor and analogy—
the basic fact that as A is to B so is C to D. AB:CD.
It can see AB relations. But relations in four terms are still
verboten. This amounts to deep occultation of nearly all
human thought for the U.S.A.
I am trying to devise a way of stating this difficulty as it exists.
Until stated and publicly recognized for what it is, poetry and
the arts can’t exist in America."
A line for W. S. Miller, taken from "Annie Hall" —
"You know nothing of my work."
2:3 :: 4:6
Midrash —
Notes and frequency ratios
For a Monkey Grammarian (Viennese Version)
|
"At the point of convergence by Octavio Paz, translated by Helen Lane
|
A logo that may be interpreted as one-eighth of a 2x2x2 array
of cubes —
The figure in white above may be viewed as a subcube representing,
when the eight-cube array is coordinatized, the identity (i.e., (0, 0, 0)).
Shown below are a few variations on the figure by VCQ,
the Vienna Center for Quantum Science and Technology —
(Click image to enlarge.)
A search for Finkelstein in this journal yields an image …
Notes and frequency ratios
See also the remarks of a character in Martin Cruz Smith's
novel Stallion Gate on piano keys —
"I hate arguments. I'm a coward. Arguments are full of words,
and each person is sure he's the only one who knows
what the words mean. Each word is a basket of eels,
as far as I'm concerned. Everybody gets to grab just one eel
and that's his interpretation and he'll fight to the death for it….
Which is why I love music. You hit a C and it's a C and that's all it is.
Like speaking clearly for the first time. Like being intelligent.
Like understanding. A Mozart or an Art Tatum sits at the piano
and picks out the undeniable truth."
A metaphysical book search from about 10 PM ET 48 hours ago —
An earlier search from July 1, 2016, may serve as a companion piece —
The late physicist David Ritz Finkelstein on the magic square
in Dürer's "Melencolia I" —
"As a child I wondered why such a square was called magic.
The Occult Philosophy [of Agrippa] answers this question
at least. They were used as magical talismans."
The correspondence in the previous post between
Figures A and B may serve as a devotional talisman
in memory of Finkelstein, a physicist who, in the sort of
magical thinking enjoyed by traditional Catholics, might
still be lingering in Purgatory.
See also this journal on the date of Finkelstein's death —
The Cube and the Hexagram
The above illustration, by the late Harvey D. Heinz,
shows a magic cube* and a corresponding magic
hexagram, or Star of David, with the six cube faces
mapped to the six hexagram lines and the twelve
cube edges mapped to the twelve hexagram points.
The eight cube vertices correspond to eight triangles
in the hexagram (six small and two large).
Exercise: Is this noteworthy mapping** of faces to lines,
edges to points, and vertices to triangles an isolated
phenomenon, or can it be viewed in a larger context?
* See the discussion at magic-squares.net of
"perimeter-magic cubes"
** Apparently derived from the Cube + Hexagon figure
discussed here in various earlier posts. See also
"Diamonds and Whirls," a note from 1984.
Do you know where your Olympics are?
Update of a half-hour later, 10:27 PM ET —
Hints
From an earlier Log24 post —
Friday, July 11, 2014
|
From a post of the next day, July 12, 2014 —
"So there are several different genres and tones
jostling for prominence within Lexicon :
a conspiracy thriller, an almost abstract debate
about what language can do, and an ironic
questioning of some of the things it’s currently used for."
— Graham Sleight in The Washington Post
a year earlier, on July 15, 2013
For the Church of Synchronology, from Log24 on the next day —
From a post titled Circles on the date of Marc Simont's death —
See as well Verhexung in this journal.
Recent amateur psychological profiles of Trump
suggest a review of Cliff Gorman as Goebbels
in "The Bunker" (1981) —
"Well … That's their problem now."
Peter Gelzinis in the Boston Herald today —
"What has become painfully clear this week
is that there is no Republican campaign for
the presidency. There is only The Donald,
his
reflex tweets, the folded pieces of paper
he pulls out of his coat pocket and a crazy
stand-up routine that is part Lenny Bruce
and part professor Irwin Corey."
Professor Soltan, a fan of James Joyce, would do well
to apply her diagnostic powers to Finnegans Wake ,
a word salad if ever there was one.
Related recommended reading:
Compare and contrast the recent films
"The Diary of a Teenage Girl" and "Strangerland."
(This post was suggested by yesterday's
"How Deep the Rabbit Hole Goes.")
"Mathematics is a process of making your metaphors ever more precise."
— Dave Carter, quoted at AmericanSongwriter.com today
"Meticulously mapped" — Ben Brantley, review of the play "Rabbit Hole"
in The New York Times , February 3, 2006
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Dave Carter, quoted in "Dave Carter's Final Class," "Eyes closed, you will feel your body traveling at great speed over the landscape. Somewhere there will be a hole down into the ground. As you go down into that tunnel, there may be creatures that try to stop you, stand in your path. You have to go right through them. Finally you will come to something down there in the ground, a new place with some kind of gift for you. You just look around for it there, and you will find it." |
Carter reportedly died on July 19, 2002.
The next day …
"And should you glimpse my wandering form out on the borderline
Between death and resurrection and the council of the pines
Do not worry for my comfort, do not sorrow for me so
All your diamond tears will rise up and adorn the sky beside me
when I go"
— Dave Carter, song lyric, "When I Go"
From the online New York Times this afternoon —
|
James Houghton, the founder and, until recently, the artistic director of the Signature Theater Company, one of Off Broadway’s essential nonprofit theaters and perhaps the nation’s leading safe house for playwrights, died on Tuesday at his home in Manhattan. He was 57. …. From 2006 until his death, he was director of the drama division at the Juilliard School, which was founded in 1968 … by John Houseman. Like Professor Kingsfield, the Harvard law scholar famously played by Houseman in the 1973 film “The Paper Chase,” the drama division was long known for its emphasis on discipline and for upholding rigorous standards that kept the pressure on the small number of students who were admitted after auditions. (In 2016 there 2,000 applicants for 18 spots.) Mr. Houghton altered the Juilliard audition process and is credited with relaxing the atmosphere of the program. …. “I don’t think there was anyone in the theater community more beloved than Jim,” the playwright Tony Kushner… wrote in an email …. — Bruce Weber |
Related theater — Child's Play.
See the search for an Inarticulate Square in this journal.
Or: Shema, SXSW
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The doors open slowly. I step into a hangar. From the rafters high above, lights blaze down, illuminating a twelve-foot cube the color of gunmetal. My pulse rate kicks up. I can’t believe what I’m looking at. Leighton must sense my awe, because he says, “Beautiful, isn’t it?” It is exquisitely beautiful. At first, I think the hum inside the hangar is coming from the lights, but it can’t be. It’s so deep I can feel it at the base of my spine, like the ultralow-frequency vibration of a massive engine. I drift toward the box, mesmerized.
— Crouch, Blake. Dark Matter: A Novel |
Related reading —
"Do you know there is a deliberate sinister conspiracy at work?"
"No, but hum a few bars and I'll fake it."
A few bars —
* Not the Dark Tower of Stephen King, but that of the
University of Texas at Austin, back in time 50 years and a day.
From this journal —
See (for instance) Sacred Order, July 18, 2006 —
From a novel published July 26, 2016, and reviewed
in yesterday's (print) New York Times Book Review —
|
The doors open slowly. I step into a hangar. From the rafters high above, lights blaze down, illuminating a twelve-foot cube the color of gunmetal. My pulse rate kicks up. I can’t believe what I’m looking at. Leighton must sense my awe, because he says, “Beautiful, isn’t it?” It is exquisitely beautiful. At first, I think the hum inside the hangar is coming from the lights, but it can’t be. It’s so deep I can feel it at the base of my spine, like the ultralow-frequency vibration of a massive engine. I drift toward the box, mesmerized.
— Crouch, Blake. Dark Matter: A Novel |
See also Log24 on the publication date of Dark Matter .
Review of "Criminal," a recent Tommy Lee Jones film:
"The only problem is that the procedure requires
a certain type of mind, the mind of a psychopath."
Skip Hollandsworth in Texas Monthly, Feb. 2006,
discussing an interview wtih Texas actor Jones, mentions …
"Jones’ strangely mesmerizing performance as
a vicious psychopath who hijacks a battleship."
A sample of that performance suitable for Manic Monday —
"You have to reconsider your entire philosophy."
— Tommy Lee Jones in "Under Siege"
The New York Times Book Review yesterday advertised
such a reconsideration, for sale by a Smith College Buddhist —
(Click image to enlarge.)
For your consideration —
"And there’s a lot of humor in the collision between Easter [sic ]
mysticism and Western scientific, sort of logical binary."
— Benedict Cumberbatch on his new film "Doctor Strange."
Lead-balloon humor:
"Funny, you don't look Buddhist."
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