The previous post's link to The Lindbergh Manifesto
and Thursday's post on Basel-born artist Wolf Barth
suggest the following —
See as well a June 14 New York Times
piece on Art Basel.
The logo of the University of Basel …
… suggests a review of The Holy Field —
.
|
The Tempest
A tropical storm over Florida (lower left) as described by William Shakespeare in 1611.
“Wind over Water” in the I Ching, Dissolving: Our revels now are ended. These our actors, as I foretold you, were all spirits and are melted into air, into thin air: and, like the baseless fabric of this vision, the cloud-capp’d towers, the gorgeous palaces, the solemn temples, the great globe itself, yea, all which it inherit, shall dissolve and, like this insubstantial pageant faded, leave not a rack behind. We are such stuff as dreams are made on, and our little life is rounded with a sleep. (Prospero, IV.i) |
Earlier, above some other bodies of water . . .
|
The Tempest
A tropical storm over Florida (lower left) as described by William Shakespeare in 1611.
“Wind over Water” in the I Ching, Dissolving: Our revels now are ended. These our actors, as I foretold you, were all spirits and are melted into air, into thin air: and, like the baseless fabric of this vision, the cloud-capp’d towers, the gorgeous palaces, the solemn temples, the great globe itself, yea, all which it inherit, shall dissolve and, like this insubstantial pageant faded, leave not a rack behind. We are such stuff as dreams are made on, and our little life is rounded with a sleep. (Prospero, IV.i) |
"Nietzsche in Basel studied the deep pool
Of these discolorations, mastering
The moving and the moving of their forms
In the much-mottled motion of blank time."
— Wallace Stevens, "Description Without Place"
Also in Basel, a mathematics professor contemplated the Lo Shu —
Philip Roth's 2004 paranoid classic premieres on TV tonight.
I prefer an alternative Lindbergh plot. See Peter Lindbergh in this journal.
At right below, a work of art that the fashion photographer Lindbergh
made when he was young and known as "Sultan."
What is going on in this picture?
Two visions of happy neurons:
This post was suggested by a link in today's New York Times —
"Simon Denny, the New Zealand artist whose work incorporates
board games, intervenes by introducing his own pieces into an attic of
the late-18th-century Haus zum Kirschgarten, already filled with
'old historical dollhouses, board games, chess games' and the like …."
Detail of an image in the previous post —
This suggests a review of a post on a work of art by fashion photographer
Peter Lindbergh, made when he was younger and known as "Sultan."
The balls in the foreground relate Sultan's work to my own.
Linguistic backstory —
The art space where the pieces by Talman and by Lindbergh
were displayed is Museum Tinguely in Basel.
As the previous post notes, the etymology of "glamour" (as in
fashion photography) has been linked to "grammar" (as in
George Steiner's Grammars of Creation ). A sculpture by
Tinguely (fancifully representing Heidegger) adorns one edition
of Grammars .
"Sultan" was a pseudonym of Peter Lindbergh, now a
well-known fashion photographer. Click image for the source.
Related art — Diamond Theory Roullete, by Radames Ajna,
2013 (Processing code at ReCode Project based on
"Diamond Theory" by Steven H. Cullinane, 1977).
"(CBS News) Two decades after Morley Safer took
a critical look at contemporary art in his 60 Minutes
story 'Yes…But is it Art?' he has found the definitive
answer to his snide question . . . ."
— March 30, 2012, introduction to a "60 Minutes" piece
dated April 1, 2012
"William Tell’s weapon of choice has become
the symbol of Switzerland, a sign of sovereignty
and a guarantee of Swiss quality. On the eve of
the Second World War, these values seemed
especially important and necessary to the Swiss.
This five-centime green stamp was issued for
the 1939 national exhibition."
Related material in this journal: Basel.
See also Jung + Imago.
"Creation is the birth of something, and
something cannot come from nothing."
— Photographer Peter Lindbergh at his website
From a biography of Lindbergh —
"… it took Lindbergh awhile to find his true métier.
Born in Krefeld, Germany, in 1944….
Barely out of his teens, he became a painter who
embraced conceptual art and — for reasons he
has since forgotten — adopted the professional
name « Sultan. » Lindbergh… was a few years
short of his 30th birthday when he turned to
photography…."
— "The Man Who Loves Women," by Pamela Young,
Toronto Globe & Mail , September 19, 1996
A Lindbergh work (at right below) from his conceptual-art days —
For a connection between the above work by Paul Talman and the
above "Mono Type 1" of Lindbergh, see…
The New Yorker —
Artificial Intelligence Goes to the Arcade
BY NICOLA TWILLEY
Evariste Galois, 1811-1832 (Vita Mathematica, V. 11)
Awarded 5 stars by Christopher G. Robinson (Cambridge, MA USA).
See also other reviews by Robinson.
Galois was shot in a duel on today's date, May 30, in 1832. Related material for those who prefer entertainment to scholarship—
"It is a melancholy pleasure that what may be [Martin] Gardner’s last published piece, a review of Amir Alexander’s Duel at Dawn: Heroes, Martyrs & the Rise of Modern Mathematics, will appear next week in our June issue." —Roger Kimball of The New Criterion, May 23, 2010.
Today is, incidentally, the feast day of St. Joan of Arc, Die Jungfrau von Orleans. (See "against stupidity" in this journal.)
Lucy in the Sky
with Diamonds
and Sacred Heart
PARIS — Albert Hofmann, the mystical Swiss chemist who gave the world LSD, the most powerful psychotropic substance known, died Tuesday at his hilltop home near Basel, Switzerland. He was 102.
Related material:
and
a film by Julie Taymor,
Across the Universe:
Detail of the
Strawberry Fields Forever
Sacred Heart:
A song:
Julie Taymor
“Shinin’ like a diamond,
she had tombstones
in her eyes.”— Album “The Dark,”
by Guy ClarkFor related tombstones,
see May 16-19, 2006,
and April 19, 2008.Further background:
Art Wars for
Red October.
Oct. 18, 1866 – Aug. 12, 1951
“The Indogermanic family of languages. The great family of languages, in which Sanskrit belongs, is called the Indogermanic, Indoceltic or Aryan…. The word Indogermanic dates from a time, when it was not yet proved, that the Celtic dialects also make part of our family of languages, and indicates by the combined name of the utmost branches, Indian and Germanic, the whole territory of speech, to which they belong. Now that it is certain, that Celtic also is a member of our family, it would be accurate to replace the word Indogermanic by Indoceltic, because not Germanic, but Celtic is the utmost branch in the Occident. The name Indogermanic however is generally adopted and it would be impossible to supplant it by another. By the word Aryan is generally understood a certain subdivision of the Indogermanic family, viz. the Indo-Iranian, and therefore it would seem unsuitable to use this name also for the whole Indogermanic family.”
A Santa understudy:
Transcript of
“Miracle on 34th Street”—
KRIS: Bye. Merry Christmas!
Well, young lady,
what's your name?
MOTHER: I'm sorry.
She doesn't speak English.
She's Dutch. She just came over.
She's been living
in an orphans home...
in Rotterdam ever since...
We've adopted her.
I told her you wouldn't
be able to speak to her...
but when she saw you
in the parade yesterday...
she said you were
"Sinter Claes"...
and you could talk to her.
I didn't know what to do.
KRIS: Hello. [Speaking Dutch]
[Speaking Dutch]
[Singing in Dutch]
DORIS: Now do you understand?
Related material:
Pope Approves Wider
Use of Latin Mass,
(Click on image for details),
and
Today is the 21st birthday of my note “The Relativity Problem in Finite Geometry.”
Some relevant quotations:
“This is the relativity problem: to fix objectively a class of equivalent coordinatizations and to ascertain the group of transformations S mediating between them.”
— Hermann Weyl, The Classical Groups, Princeton University Press, 1946, p. 16
Describing the branch of mathematics known as Galois theory, Weyl says that it
“… is nothing else but the relativity theory for the set Sigma, a set which, by its discrete and finite character, is conceptually so much simpler than the infinite set of points in space or space-time dealt with by ordinary relativity theory.”
— Weyl, Symmetry, Princeton University Press, 1952, p. 138
Weyl’s set Sigma is a finite set of complex numbers. Some other sets with “discrete and finite character” are those of 4, 8, 16, or 64 points, arranged in squares and cubes. For illustrations, see Finite Geometry of the Square and Cube. What Weyl calls “the relativity problem” for these sets involves fixing “objectively” a class of equivalent coordinatizations. For what Weyl’s “objectively” means, see the article “Symmetry and Symmetry Breaking,” by Katherine Brading and Elena Castellani, in the Stanford Encyclopedia of Philosophy:
“The old and natural idea that what is objective should not depend upon the particular perspective under which it is taken into consideration is thus reformulated in the following group-theoretical terms: what is objective is what is invariant with respect to the transformation group of reference frames, or, quoting Hermann Weyl (1952, p. 132), ‘objectivity means invariance with respect to the group of automorphisms [of space-time].‘[22]
22. The significance of the notion of invariance and its group-theoretic treatment for the issue of objectivity is explored in Born (1953), for example. For more recent discussions see Kosso (2003) and Earman (2002, Sections 6 and 7).
References:
Born, M., 1953, “Physical Reality,” Philosophical Quarterly, 3, 139-149. Reprinted in E. Castellani (ed.), Interpreting Bodies: Classical and Quantum Objects in Modern Physics, Princeton, NJ: Princeton University Press, 1998, pp. 155-167.
Earman, J., 2002, “Laws, Symmetry, and Symmetry Breaking; Invariance, Conservation Principles, and Objectivity,’ PSA 2002, Proceedings of the Biennial Meeting of the Philosophy of Science Association 2002, forthcoming [Abstract/Preprint available online]
Kosso, P., 2003, “Symmetry, objectivity, and design,” in K. Brading and E. Castellani (eds.), Symmetries in Physics: Philosophical Reflections, Cambridge: Cambridge University Press, pp. 410-421.
Weyl, H., 1952, Symmetry, Princeton, NJ: Princeton University Press.
See also
Archives Henri Poincaré (research unit UMR 7117, at Université Nancy 2, of the CNRS)–
“Minkowski, Mathematicians, and the Mathematical Theory of Relativity,” by Scott Walter, in The Expanding Worlds of General Relativity (Einstein Studies, volume 7), H. Goenner, J. Renn, J. Ritter and T. Sauer, editors, Boston/Basel: Birkhäuser, 1999, pp. 45-86–
“Developing his ideas before Göttingen mathematicians in April 1909, Klein pointed out that the new theory based on the Lorentz group (which he preferred to call ‘Invariantentheorie’) could have come from pure mathematics (1910: 19). He felt that the new theory was anticipated by the ideas on geometry and groups that he had introduced in 1872, otherwise known as the Erlangen program (see Gray 1989: 229).”
References:
Gray, Jeremy J. (1989). Ideas of Space. 2d ed. Oxford: Oxford University Press.
Klein, Felix. (1910). “Über die geometrischen Grundlagen der Lorentzgruppe.” Jahresbericht der deutschen Mathematiker-Vereinigung 19: 281-300. [Reprinted: Physikalische Zeitschrift 12 (1911): 17-27].
Related material: A pathetically garbled version of the above concepts was published in 2001 by Harvard University Press. See Invariances: The Structure of the Objective World, by Robert Nozick.
The Tempest
A tropical storm over Florida (lower left)
and a hurricane at Bermuda (upper right)
at 3:15 p.m. EDT on Friday, Sept. 5, 2003:
as described by William Shakespeare in 1611.
“Wind over Water” in the I Ching,
the Classic of Transformations,
signifies huan, “dissolving.”
Dissolving:
Our revels now are ended. These our actors, as I foretold you, were all spirits and are melted into air, into thin air: and, like the baseless fabric of this vision, the cloud-capp’d towers, the gorgeous palaces, the solemn temples, the great globe itself, yea, all which it inherit, shall dissolve and, like this insubstantial pageant faded, leave not a rack behind. We are such stuff as dreams are made on, and our little life is rounded with a sleep. (Prospero, IV.i)
The Unity of Mathematics,
or “Shema, Israel”
A conference to honor the 90th birthday (Sept. 2) of Israel Gelfand is currently underway in Cambridge, Massachusetts.
The following note from 2001 gives one view of the conference’s title topic, “The Unity of Mathematics.”
Reciprocity in 2001by Steven H. Cullinane
|
For four different proofs of Euler’s result, see the inexpensive paperback classic by Konrad Knopp, Theory and Application of Infinite Series (Dover Publications).
Evaluating Zeta(2), by Robin Chapman (PDF article) Fourteen proofs!
Zeta Functions for Undergraduates
Reciprocity Laws
Reciprocity Laws II
Recent Progress on the Langlands Conjectures
For more on
the theme of unity,
see
Powered by WordPress
