On a mathematician who died on All Souls' Day 2012—
"… he enthusiastically shared with us the many stories
of Indian epics like Mahabharata." — Online tribute
This suggests a pictorial review incorporating some
images from past Log24 posts.
Best Exotic Ananga Ranga
Click images for some background.
Judy Davis in the Marabar Caves
The above image is from this journal on Sunday, April 13, 2008.
The preceding cover of a book by Northrop Frye was suggested
by material in this journal from February 2003.
See also Yankee Puzzle and Doodle Dandy.
A Passage to India… With Slides and Chanting
"Why art thou here,
Come from the farthest Steppe of India?"
— Midsummer Night's Dream
"After graduating, Mr. Franken headed for Harvard,
while Mr. Davis chose the University of the Pacific
in Stockton, Calif., because, he said, he had heard
that it had a foreign study program in India, where
he hoped to smoke opium. (They did, and he did.)"
— Obituary of Saturday Night Live writer Tom Davis
by Douglas Martin in this evening's online New York Times
"Frances Alenikoff, a dancer, choreographer and visual artist
whose performances often interwove movement with slides,
film, speaking, tape recordings and chant, died on June 23
in Southampton, N.Y. She was 91."
— Margalit Fox, online NY Times of July 8, 2012
"Is our children learning?"
— George W. Bush, January 11, 2000 (according to TIME)
"… our politics seems so tough right now, and
facts and science and argument does not seem to be winning the day…."
— Barack Obama, October 16, 2010 (according to whitehouse.gov)
The same Obama quotation appeared in The New York Times.
Related material on facts and science and argument —
"If you’re interested in particle physics and not regularly reading
Tommaso Dorigo’s blog, you should be."
— Peter Woit at Not Even Wrong , March 21, 2009
Click on the above for further details.
See also Plotting Obama's Passage to India (AP)
“Anakin Skywalker, otherwise known
as Darth Vader, is arguably
the central character in
George Lucas’s ‘Star Wars’….“
— Amazon.com review
Ken Annakin, classic action
filmmaker, dies at 94 —
“Annakin’s last name
was the source
of the name for
Anakin Skywalker.”
“Contrary to previous reports that George Lucas named the ‘Star Wars’ character Anakin Skywalker (Darth Vader) after Annakin, Lucas said via his publicist Thursday that he did not.”
Mike O’Sullivan, Voice of America LA bureau chief, in 2007:
“Annakin inadvertently gave his own name to a film character, although the spelling is slightly different, when the actor Alec Guinness suggested the name to director George Lucas for a character in the Star Wars films.
At a screening of the film, Annakin asked Lucas about it.
‘He was running his picture with Anakin Skywalker in it, and I went over to him and said, “you know, you never got permission for this.” He said, “but I dropped an ‘n’ and therefore I got away with it,”‘ Annakin said.”
This morning’s NY Times
obituaries include…
The British-born Annakin
(best known for war epics),
British cinematographer Jack Cardiff,
and Santha Rama Rau (author
of a 1960 play based on the
novel A Passage to India) —
Passage O soul to India!
Eclaircise the myths Asiatic,
the primitive fables.
Not you alone proud truths of the world,
Nor you alone ye facts of modern science,
But myths and fables of eld,
Asia’s, Africa’s fables,
The far-darting beams of the spirit,
the unloos’d dreams,
The deep diving bibles and legends….
For Cardiff, cinematographer
of “A Matter of Life and Death“
and of “Black Narcissus” —
Happy Birthday
to a Dark Lady
“It is said that the students of medieval Paris came to blows in the streets over the question of universals. The stakes are high, for at issue is our whole conception of our ability to describe the world truly or falsely, and the objectivity of any opinions we frame to ourselves. It is arguable that this is always the deepest, most profound problem of philosophy.”
— Simon Blackburn, Think (Oxford, 1999)
Michael Harris, mathematician at the University of Paris:
“… three ‘parts’ of tragedy identified by Aristotle that transpose to fiction of all types– plot (mythos), character (ethos), and ‘thought’ (dianoia)….”
— paper (pdf) to appear in Mathematics and Narrative, A. Doxiadis and B. Mazur, eds.
Mythos —
A visitor from France this morning viewed the entry of Jan. 23, 2006: “In Defense of Hilbert (On His Birthday).” That entry concerns a remark of Michael Harris.
A check of Harris’s website reveals a new article:
“Do Androids Prove Theorems in Their Sleep?” (slighly longer version of article to appear in Mathematics and Narrative, A. Doxiadis and B. Mazur, eds.) (pdf).
From that article:
“The word ‘key’ functions here to structure the reading of the article, to draw the reader’s attention initially to the element of the proof the author considers most important. Compare E.M. Forster in Aspects of the Novel:
[plot is] something which is measured not be minutes or hours, but by intensity, so that when we look at our past it does not stretch back evenly but piles up into a few notable pinnacles.”
Ethos —
“Forster took pains to widen and deepen the enigmatic character of his novel, to make it a puzzle insoluble within its own terms, or without. Early drafts of A Passage to India reveal a number of false starts. Forster repeatedly revised drafts of chapters thirteen through sixteen, which comprise the crux of the novel, the visit to the Marabar Caves. When he began writing the novel, his intention was to make the cave scene central and significant, but he did not yet know how:
When I began a A Passage to India, I knew something important happened in the Malabar (sic) Caves, and that it would have a central place in the novel– but I didn’t know what it would be… The Malabar Caves represented an area in which concentration can take place. They were to engender an event like an egg.”
— E. M. Forster: A Passage to India, by Betty Jay
Dianoia —
“Despite the flagrant triviality of the proof… this result is the key point in the paper.”
— Michael Harris, op. cit., quoting a mathematical paper
Online Etymology Dictionary:
flagrant c.1500, “resplendent,” from L. flagrantem (nom. flagrans) “burning,” prp. of flagrare “to burn,” from L. root *flag-, corresponding to PIE *bhleg– (cf. Gk. phlegein “to burn, scorch,” O.E. blæc “black”). Sense of “glaringly offensive” first recorded 1706, probably from common legalese phrase in flagrante delicto “red-handed,” lit. “with the crime still blazing.”
A related use of “resplendent”– applied to a Trinity, not a triviality– appears in the Liturgy of Malabar:
— The Liturgies of SS. Mark, James, Clement, Chrysostom, and Basil, and the Church of Malabar, by the Rev. J.M. Neale and the Rev. R.F. Littledale, reprinted by Gorgias Press, 2002
Judy Davis in the Marabar Caves
In mathematics
(as opposed to narrative),
somewhere between
a flagrant triviality and
a resplendent Trinity we
have what might be called
“a resplendent triviality.”
For further details, see
“A Four-Color Theorem.”
In memory of Marian Cannon Schlesinger,
who reportedly died on Saturday, October 14, 2017
University Diaries on December 25, 2016 —
"You could say UD currently sits (she’s in the library
at five AM) at the pinnacle of elitism; you could say
she ain’t climbing any higher than atop this soft
leather chair resting on one of the gargantuan rugs
Galbraith or Galbraith junior brought back from India
or Afghanistan. But it’s only the trappings. What’s
been able to be held in amber. This place is the
genuine Henry James (Harvard Law, 1872):
The affluent society, expansive, sedate; and
the cry of pain almost out of earshot."
Presumably UD means the noted author Henry James.
A fact check does not bear out her "Harvard Law, 1872" remark.
For this Halloween season, a creepy passage from James —
Leading The New York Times obituaries on the evening of
May 7th, 2012, was "Bob Stewart, Inventor of Game Shows"—
From a publication linked to here on May 4th,
the reported date of Stewart's death—
A PASSAGE TO INDIA—
For Eastern illusion involving a (presumably different)
"Bob Stewart," see this journal on May 7th six years ago.
Dr. Joe Emerson, April 24, 2005–
— Text: I Peter 2:1-9
Dr. Emerson falsely claims that the film "On the Waterfront" was based on a book by the late Budd Schulberg (who died yesterday). (Instead, the film's screenplay, written by Schulberg– similar to an earlier screenplay by Arthur Miller, "The Hook"– was based on a series of newspaper articles by Malcolm Johnson.)
"The movie 'On the Waterfront' is once more in rerun. (That’s when Marlon Brando looked like Marlon Brando. That’s the scary part of growing old when you see what he looked like then and when he grew old.) It is based on a book by Budd Schulberg."
Emerson goes on to discuss the book, Waterfront, that Schulberg wrote based on his screenplay–
"In it, you may remember a scene where Runty Nolan, a little guy, runs afoul of the mob and is brutally killed and tossed into the North River. A priest is called to give last rites after they drag him out."
New York Times today
Dr. Emerson's sermon is, as noted above (Text: I Peter 2:1-9), not mainly about waterfronts, but rather about the "living stones" metaphor of the Big Fisherman.
My own remarks on the date of Dr. Emerson's sermon—
Those who like to mix mathematics with religion may regard the above 4×6 array as a context for the "living stones" metaphor. See, too, the five entries in this journal ending at 12:25 AM ET on November 12 (Grace Kelly's birthday), 2006, and today's previous entry.
“Yo es que nací un 8 de marzo,
Día de la Mujer Trabajadora,
y no he hecho más que
trabajar toda mi vida.”
For background on Aldecoa,
see a paper (pdf) by
Sara Brenneis:
“Josefina Aldecoa intertwines
history, collective memory
and individual testimony in her
historical memory trilogy…”
The Triangle Shirtwaist Factory Fire in New York City on March 25, 1911, was the largest industrial disaster in the history of the city of New York, causing the death of 146 garment workers who either died in the fire or jumped to their deaths.
Propaganda, March 1977:
“On March 8, 1908, after the death of 128 women trapped in a fire at the Triangle Shirtwaist Factory in New York City, 15,000 women workers from the garment and textile industry marched echoing the demands of their sisters 50 years earlier…”
Propaganda, March 2006:
“First of all, on March 8th, 1857, a large number of factory workers in the United States took to the streets to demand their economic and political rights. The owners called the police who arrived immediately and opened fire, engaging in blind repression… Later on, in 1908, the same date of March 8th was once again a memorable date of struggle. On this day, capitalist bosses in Chicago set fire to a textile factory where over a thousand women worked. A very large number was terribly burnt. 120 died!”
Propaganda disguised as news, March 2007:
From today’s top story in 24 HoursTM, a commuter daily in Vancouver published by Sun Media Corporation:
Fight still on for equality
By Robyn Stubbs and Carly Krug
“International Women’s Day commemorates a march by female garment workers protesting low wages, 12-hour workdays and bad working conditions in New York City on March 8, 1857.
Then in 1908, after 128 women were trapped and killed in a fire at a New York City garment and textile factory, 15,000 women workers again took their protests to the street.”
Related historical fiction:
A version of the
I Ching’s Hexagram 19:
— Katherine Neville, The Eight
|
“What does this have to do with why we’re here?”
“I saw it in a chess book Mordecai showed me. The most ancient chess service ever discovered was found at the palace of King Minos on Crete– the place where the famous Labyrinth was built, named after this sacred axe. The chess service dates to 2000 B.C. It was made of gold and silver and jewels…. And in the center was carved a labrys.” … “But I thought chess wasn’t even invented until six or seven hundred A.D.,” I added. “They always say it came from Persia or India. How could this Minoan chess service be so old?” “Mordecai’s written a lot himself on the history of chess,” said Lily…. “He thinks that chess set in Crete was designed by the same guy who built the Labyrinth– the sculptor Daedalus….” Now things were beginning to click into place…. “Why was this axe carved on the chessboard?” I asked Lily, knowing the answer in my heart before she spoke. “What did Mordecai say was the connection?”…. “That’s what it’s all about,” she said quietly. “To kill the King.” The sacred axe was used to kill the King. The ritual had been the same since the beginning of time. The game of chess was merely a reenactment. Why hadn’t I recognized it before? |
Perhaps at the center of
Aldecoa’s labyrinth lurk the
capitalist bosses from Chicago
who, some say, set fire
to a textile factory
on this date in 1908.
For a Freudian perspective
on the above passage,
see yesterday’s entry
In the Labyrinth of Time,
with its link to
John Irwin‘s essay
“The False Artaxerxes:
Borges and the
Dream of Chess.”
Symbols
S. H. Cullinane
March 7, 2007
Today, by the way, is the
feast of a chess saint.
Seven
“Research & Ideas” memo from Harvard Business School dated April 17, 2006:
“The word experience comes from the Latin words ex pericolo, which mean ‘from danger.'”
— Etymology by Professor Joseph Badaracco of Harvard University. Badaracco gives no evidence for his dubious claim.
Related (if only temporally):
Easter Monday, April 17, 2006.
The title of this entry refers to the time it was posted. Related references to seven: April 7, 2003, and today’s previous entry.
See also an entry from 2/29, 2004
(Leap Day and Oscar Night):
|
Vita Brevis “In many ways, the arts are the highest achievements of man.” — Harvard President ”We intensively train children in the Arts and ritual because deep down we know that these are the only things that really MATTER. This is what we must share first with the young, in case they DIE.” — Lucy Ellmann, Dot in the Universe, quoted in today’s [2/29/04] New York Times |
Harvard persons from parts of the university that are more scholarly than the Business School may sneer at the above-quoted Online Etymology Dictionary. They can consult the following:
On “experience”
From
J.L. Austin,From Ritual to Theatre: The Human Seriousness of Play:“Scholars, such as Julius Pokorny (Indogermanisches Etymolgisches Worterbuch, 1959), trace ‘experience’ right back to hypothetical Indo-European base or root *per-, ‘to attempt, venture, risk,’ whence the Greek peira,”experience,” the source of our word ’empirical.’ It is also the verbal root which derives the Germanic *feraz, giving rise to Old English faer, “danger, sudden calamity,” whence Modern English ‘fear.’ Already, we see the ‘cognitive’ directions taken by * per-, through the Greek route, and affective ones, through the Germanic — which would have interested Dilthey, one may be sure! But more directly ‘experience’ derives, via Middle English and Old French, from the Latin experientia, denoting ‘trial, proof, experiment,’ itself generated from experiens, the present participle of experiri, ‘to try, test,’ from from ex-, ‘out’ + base per as in peritus, ‘experienced,’ ‘having learned by trying.’ The suffixed extended form of *per is peri-tlo-, whence the Latin periclum, periculum, “trial, danger, peril. Once more, we find experience linked with risk, straining towards ‘drama,’ crisis, rather than bland cognitive learning!”
“… Finally, ‘experiment,’ like ‘experience,’ is derived from Latin experiri “to try or test.” If we put these various senses together we have a ‘laminated’ semantic system focused on ‘experience,’ which portrays it as a journey, a test (of self, of suppositions about others), a ritual passage, an exposure to peril or risk, a source of fear. By means of experience, we ‘fare’ ‘fearfully’ through ‘perils,’ taking ‘experimental’ steps. …” (17-18)
The above is taken from an anonymous weblog entry. The author of the entry identified the source as From Ritual to Theatre: The Human Seriousness of Play. The author of the entry falsely stated that the author of this book was J. L. Austin. In fact, the book was written by Victor Turner, apparently the same philosophical sociologist whom we encountered in the previous entry and in the Log24 entry for the recent feast of St. Max Black. Turner may have been quoting Austin; pages from the book are not available online. Another author, however, says the quotation is by Turner himself. See Rena Fraden’s Imagining Medea, pp. 218-219.
Today’s previous entry is a sort of “ritual passage” for a Nobel Prize winner. For a ritual passage more directly related to Professor Badaracco, see the Brookline TAB obituary of his 23-year-old daughter, who died on Monday, August 21, 2006. According to today’s online Harvard Crimson, “she was walking along Hammond Street in Newton [Mass.] when an 84-year-old driver jumped the curb and struck her.”
From her Brookline TAB obituary of Thursday, Aug. 24, 2006:
“Funeral services will be held Friday [Aug. 25, 2006] at 10 a.m. at St. Mary’s of the Assumption Church, at 67 Harvard St.
The family asks that in lieu of flowers, donations be made to the Centro Romero Community Center in Chicago: 6216 N. Clark St., Chicago, IL 60660.”
Hope of Heaven
“Heaven is a state,
a sort of metaphysical state.”
— John O’Hara, Hope of Heaven, 1938
“The old men know
when an old man dies.”
— Ogden Nash
See also the five Log24 entries
ending with the 9 PM entry of
Tuesday, December 10, 2002.
From today’s New York Times:
“Joseph S. Frelinghuysen, whose memoir, Passages to Freedom, chronicled his escape from a prison camp in Italy during World War II, died on Saturday in Morristown, N.J. He was 92.”
A web page on the Indiantown Gap army camp quotes Frelinghuysen’s Passages to Freedom… He is describing July 1942, just before Frelinghuysen’s unit was sent overseas:
“In the last week of July, his wife Emily came to Indiantown to stay at the old Hershey Hotel so they could steal a few of the remaining hours together. He explained, ‘On my last night with Emily, she wore an evening dress with a full green and rose colored skirt, and I put on my best garrison uniform …. we had California champagne, lobster, and flaming crepes with ice cream. We danced to some old tunes; Cole Porter’s ‘Night and Day’ and Irving Berlin’s tunes from ‘Top Hat.’ Then they played a new one slowly, and a young girl sang the lyrics to ‘The White Cliffs of Dover.’ Noting that England had been at war for three years, he reminisced that it was a song that speaks of ‘love and laughter’ and ‘peace ever after.’ Nostalgically, he said, ‘We finished the dance in an embrace. She took my hand and we walked out through the lobby onto the terrace for a last look at the gardens in the pale light of a quarter moon.’ “
Mark
Today is the feast of Saint Mark. It seems an appropriate day to thank Dr. Gerald McDaniel for his online cultural calendar, which is invaluable for suggesting blog topics.
Yesterday's entry "Cross-Referenced" referred to a bizarre meditation of mine titled "The Matthias Defense," which combines some thoughts of Nabokov on lunacy with some of my own thoughts on the Judeo-Christian tradition (i.e., also on lunacy). In this connection, the following is of interest:
From a site titled Meaning of the Twentieth Century —
"Freeman Dyson has expressed some thoughts on craziness. In a Scientific American article called 'Innovation in Physics,' he began by quoting Niels Bohr. Bohr had been in attendance at a lecture in which Wolfgang Pauli proposed a new theory of elementary particles. Pauli came under heavy criticism, which Bohr summed up for him: 'We are all agreed that your theory is crazy. The question which divides us is whether it is crazy enough to have a chance of being correct. My own feeling is that is not crazy enough.' To that Freeman added: 'When a great innovation appears, it will almost certainly be in a muddled, incomplete and confusing form. To the discoverer, himself, it will be only half understood; to everyone else, it will be a mystery. For any speculation which does not at first glance look crazy, there is no hope!' "
— Kenneth Brower, The Starship and the Canoe, 1979, pp. 146, 147
It is my hope that the speculation, implied in The Matthias Defense, that the number 162 has astonishing mystical properties (as a page number, article number, etc.) is sufficiently crazy to satisfy Pauli and his friend Jung as well as the more conventional thinkers Bohr and Dyson. It is no less crazy than Christianity, and has a certain mad simplicity that perhaps improves on some of that religion's lunatic doctrines.
Some fruits of the "162 theory" —
Searching on Google for muses 162, we find the following Orphic Hymn to Apollo and a footnote of interest:
27 Tis thine all Nature's music to inspire,
28 With various-sounding, harmonising lyre;
29 Now the last string thou tun'ft to sweet accord,
30 Divinely warbling now the highest chord….
"Page 162 Verse 29…. Now the last string…. Gesner well observes, in his notes to this Hymn, that the comparison and conjunction of the musical and astronomical elements are most ancient; being derived from Orpheus and Pythagoras, to Plato. Now, according to the Orphic and Pythagoric doctrine, the lyre of Apollo is an image of the celestial harmony…."
For the "highest chord" in a metaphorical sense, see selection 162 of the 1919 edition of The Oxford Book of English Verse (whose editor apparently had a strong religious belief in the Muses (led by Apollo)). This selection contains the phrase "an ever-fixèd mark" — appropriately enough for this saint's day. The word "mark," in turn, suggests a Google search for the phrase "runes to grave" Hardy, after a poem quoted in G. H. Hardy's A Mathematician's Apology.
Such a search yields a website that quotes Housman as the source of the "runes" phrase, and a further search yields what is apparently the entire poem:
Smooth Between Sea and Land
by A. E. Housman
Smooth between sea and land
Is laid the yellow sand,
And here through summer days
The seed of Adam plays.Here the child comes to found
His unremaining mound,
And the grown lad to score
Two names upon the shore.Here, on the level sand,
Between the sea and land,
What shall I build or write
Against the fall of night?Tell me of runes to grave
That hold the bursting wave,
Or bastions to design
For longer date than mine.Shall it be Troy or Rome
I fence against the foam
Or my own name, to stay
When I depart for aye?Nothing: too near at hand
Planing the figured sand,
Effacing clean and fast
Cities not built to last
And charms devised in vain,
Pours the confounding main.(Said to be from More Poems (Knopf, 1936), p. 64)
Housman asks the reader to tell him of runes to grave or bastions to design. Here, as examples, are one rune and one bastion.
|
Represents |
Dagaz: (Pronounced thaw-gauze, but with the "th" voiced as in "the," not unvoiced as in "thick") (Day or dawn.)
From Rune Meanings:
Dagaz means "breakthrough, awakening, awareness. Daylight clarity as opposed to nighttime uncertainty. A time to plan or embark upon an enterprise. The power of change directed by your own will, transformation. Hope/happiness, the ideal. Security and certainty. Growth and release. Balance point, the place where opposites meet."
Also known as "the rune of transformation."
For the Dagaz rune in another context, see Geometry of the I Ching. The geometry discussed there does, in a sense, "hold the bursting wave," through its connection with Walsh functions, hence with harmonic analysis.
Temple of Athena Nike on the Nike Bastion, the Acropolis, Athens. Here is a relevant passage from Paul Valéry's Eupalinos ou L'Architecte about another temple of four columns:
Et puis… Écoute, Phèdre (me disait-il encore), ce petit temple que j'ai bâti pour Hermès, à quelques pas d'ici, si tu savais ce qu'il est pour moi ! — Où le passant ne voit qu'une élégante chapelle, — c'est peu de chose: quatre colonnes, un style très simple, — j'ai mis le souvenir d'un clair jour de ma vie. Ô douce métamorphose ! Ce temple délicat, nul ne le sait, est l'image mathématique d'une fille de Corinthe que j'ai heureusement aimée. Il en reproduit fidèlement les proportions particulières. Il vit pour moi !
Four columns, in a sense more suited to Hardy's interests, are also a recurrent theme in The Diamond 16 Puzzle and Diamond Theory.
Apart from the word "mark" in The Oxford Book of English Verse, as noted above, neither the rune nor the bastion discussed has any apparent connection with the number 162… but seek and ye shall find.
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