Thursday, August 14, 2008 4:19 AM
A classic now online:
Monday, August 11, 2008 9:00 PM
Finite Geometry note:
Sunday, August 10, 2008 10:31 AM
Annals of Philosophy:
Friday, August 8, 2008 8:08 AM
Wednesday, August 6, 2008 12:00 PM
Review:From the last link within the last link of yesterday's entry:
Tuesday, August 5, 2008 2:02 PM
Mathematics and Narrative, continued:
"The Last Theorem is a story of one man’s mathematical obsession, and a celebration of the human spirit and the scientific method. It is also a gripping intellectual thriller....For a similar third-world fantasy about another famous theorem, see the oeuvre of Ashay Dharwadker.
In 1637, the French mathematician Pierre de Fermat scrawled a note in the margin of a book about an enigmatic theorem: 'I have discovered a truly marvelous proof of this proposition which this margin is too narrow to contain.' He also neglected to record his proof elsewhere. Thus began a search for the Holy Grail of mathematics-- a search that didn’t end until 1994, when Andrew Wiles published a 150-page proof. But the proof was burdensome, overlong, and utilized mathematical techniques undreamed of in Fermat’s time, and so it left many critics unsatisfied-- including young Ranjit Subramanian, a Sri Lankan with a special gift for mathematics and a passion for the famous 'Last Theorem.'
When Ranjit writes a three-page proof of the theorem that relies exclusively on knowledge available to Fermat, his achievement is hailed as a work of genius, bringing him fame and fortune...."
Monday, August 4, 2008 9:57 AM
Happy Birthday, Dennis Lehane:
Summer of '36
of Another Show
From the film "Contact"--
Jodie Foster and the
opening of the 1936 Olympics
| "Heraclitus.... says: 'The ruler
whose prophecy occurs at Delphi
oute legei oute kryptei,
neither gathers nor hides,
alla semainei, but gives hints.'"
-- An Introduction to Metaphysics,
by Martin Heidegger, Yale University
Press paperback, 1959, p. 170
Sunday, August 3, 2008 10:00 PM
Annals of Lughnasa:
"Credences of Summer," VII,
by Wallace Stevens, from
Transport to Summer (1947)
"Three times the concentred
self takes hold, three times
The thrice concentred self,
The object, grips it
in savage scrutiny,
Once to make captive,
once to subjugate
Or yield to subjugation,
once to proclaim
The meaning of the capture,
this hard prize,
Fully made, fully apparent,
Sunday, August 3, 2008 7:20 PM
Every Good Boy Deserves...
"Russian writer Alexander Solzhenitsyn, who exposed Stalin's prison system in his novels and spent 20 years in exile, has died near Moscow at the age of 89.
The author of The Gulag Archipelago and One Day In The Life Of Ivan Denisovich, who returned to Russia in 1994, died of either a stroke or heart failure.
The Nobel laureate had suffered from high blood pressure in recent
After returning to Russia, Solzhenitsyn wrote several polemics on Russian history and identity.
His son Stepan was quoted by one Russian news agency as saying his father died of heart failure, while another agency quoted literary sources as saying he had suffered a stroke.
He died in his home in the Moscow area, where he had lived with his wife Natalya, at 2345 local time (1945 GMT) [3:45 PM EDT], Stepan told Itar-Tass.
Russian President Dmitry Medvedev sent his condolences to the writer's family, a Kremlin spokesperson said...."
Sunday, August 3, 2008 3:00 PM
Mathematics and Narrative, continued:
Review of the same play as presented at Chautauqua Institution on July 24, 2008:
The place, Town Hall, West 43rd Street. The time, 8 p.m., Friday, March 14. One single performance only, to the tinkle-- or the clang?-- of a triangle. Echoing perhaps the clang-clack of Warsaw Pact tanks muscling into Prague in August 1968.
The “u” in favour is the British way, the Stoppard way, "EGBDF" being "a Play for Actors and Orchestra" by Tom Stoppard (words) and André Previn (music).
And what a play!-- as luminescent as always where Stoppard is concerned. The music component of the one-nighter at Town Hall-- a showcase for the Boston University College of Fine Arts-- is by a 47-piece live orchestra, the significant instrument being, well, a triangle.
When, in 1974, André Previn, then principal conductor of the London Symphony, invited Stoppard "to write something which had the need of a live full-time orchestra onstage," the 36-year-old playwright jumped at the chance.One hitch: Stoppard at the time knew "very little about 'serious' music… My qualifications for writing about an orchestra," he says in his introduction to the 1978 Grove Press edition of "EGBDF," "amounted to a spell as a triangle player in a kindergarten percussion band."
-- Jerry Tallmer in The Villager, March 12-18, 2008
"Stoppard's modus operandi-- to teasingly introduce numerous clever tidbits designed to challenge the audience."
-- Jane Vranish, Pittsburgh Post-Gazette, Saturday, August 2, 2008
| Finnegans Wake,
Book II, Episode 2, pp. 296-297:
I'll make you to see figuratleavely the whome of your eternal geomater. And if you flung her headdress on her from under her highlows you'd wheeze whyse Salmonson set his seel on a hexengown.1 Hissss!, Arrah, go on! Fin for fun!
1 The chape of Doña Speranza of the Nacion.
From my entry of Sept. 1, 2003:
"...the principle of taking and giving, of learning and teaching, of listening and storytelling, in a word: of reciprocity....
... E. M. Forster famously advised his readers, 'Only connect.' 'Reciprocity' would be Michael Kruger's succinct philosophy, with all that the word implies."
-- William Boyd, review of Himmelfarb, a novel by Michael Kruger, in The New York Times Book Review, October 30, 1994
Last year's entry on this date:
The picture above is of the complete
Diamond theory describes how the 15 two-element subsets of a six-element set (represented by edges in the picture above) may be arranged as 15 of the 16 parts of a 4x4 array, and how such an array relates to group-theoretic concepts, including Sylvester's synthematic totals as they relate to constructions of the Mathieu group M24.
If diamond theory illustrates any general philosophical principle, it is probably the interplay of opposites.... "Reciprocity" in the sense of Lao Tzu. See
For a sense of "reciprocity" more closely related to Michael Kruger's alleged philosophy, see the Confucian concept of Shu (Analects 15:23 or 24) described in
Kruger's novel is in part about a Jew: the
quintessential Jewish symbol, the star of David, embedded in the
Click on the design for details.
Those who prefer a Jewish approach to physics can
find the star of David, in the form of
The star of David also appears, if only as a heuristic arrangement, in a note that shows generating partitions of the affine group on 64 points arranged in two opposing triplets.
Having thus, as the New York Times advises, paid tribute to a Jewish symbol, we may note, in closing, a much more sophisticated and subtle concept of reciprocity due to Euler, Legendre, and Gauss. See
Salmonson set his seel:Wikipedia:
"Finn MacCool ate the Salmon of Knowledge."
"George Salmon spent his boyhood in Cork City, Ireland. His father was a linen merchant. He graduated from Trinity College Dublin at the age of 19 with exceptionally high honours in mathematics. In 1841 at age 21 he was appointed to a position in the mathematics department at Trinity College Dublin. In 1845 he was appointed concurrently to a position in the theology department at Trinity College Dublin, having been confirmed in that year as an Anglican priest."
Saturday, August 2, 2008 3:52 PM
You Say Adieu, I Say...
|Front page top center,
online New York Times,
3:12 PM Saturday, August 2, 2008:
Finlay MacKay for The New York Times
The Great Endorsement Scramble
For gold-medal hopefuls like Nastia Liukin, there’s just one big chance to make it as a marketing darling.
for the above photo:
Eye of Apollo
The Hidden Sign.
Saturday, August 2, 2008 2:02 PM
ART WARS continued:
Saturday, August 2, 2008 6:23 AM
Simon tells me he has a quasi-religious faith in the Monster. One day, he says, ... the Monster will expose the structure of the universe.
... although Simon says he is keen for me to write a book about him and his work on the Monster and his obsession with buses, he doesn't like talking, has no sense of anecdotes or extended conversation, and can't remember (or never paid any attention to) 90 per cent of the things I want him to tell me about in his past. It is not modesty. Simon is not modest or immodest: he just has no self-curiosity. To Simon, Simon is a collection of disparate facts and no interpretative glue. He is a man without adjectives. His speech is made up almost entirely of short bursts of grunts and nouns.
This is the main reason why we spent three weeks together .... I needed to find a way to make him prattle."
Those in search of prattle
and interpretive glue should consult Anthony Judge's essay ""Potential Psychosocial Significance of Monstrous
Moonshine: An Exceptional Form of Symmetry as a Rosetta Stone for
Cognitive Frameworks." This was cited here in Thursday's
entry "Symmetry in Review." (That entry is just a
list of items related in part by synchronicity, in part by mathematical
content. The list, while meaningful to me and perhaps a few others, is
also lacking in prattle and interpretive glue.)
Those in search of knowledge, rather than glue and prattle, should consult Symmetry and the Monster, by Mark Ronan. If they have a good undergraduate education in mathematics, Terry Gannon's survey paper "Monstrous Moonshine: The First Twenty-Five Years" (pdf) and book-- Moonshine Beyond the Monster-- may also be of interest.
Friday, August 1, 2008 2:42 PM
Annals of Burlesque:
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Friday, August 1, 2008 2:56 AM
One for my baby...