Wednesday, February 28, 2007 7:59 AM
Parts of a Whole:
In German, the same root yields steigen, to step, to mount, and in Sanskrit we find stigh, to mount....
Stoicheia are the degrees or steps from one end to the other, the constituent parts of a whole, forming a complete series, whether as hours, or letters, or numbers, or parts of speech, or physical elements, provided always that such elements are held together by a systematic order."
Tuesday, February 27, 2007 9:25 PM
Harvard Design, continued
A Trinity Sunday sermon
"... to apprehend
See also The Diamond Project.
-- Wallace Stevens,
"The Owl in the Sarcophagus"
Some context for these figures:
The Diamond Theory of Truth
Tuesday, February 27, 2007 7:59 AM
ART WARS: Time and Chance
Monday, February 26, 2007 9:29 AM
From the Academy:
Sunday, February 25, 2007 10:31 AM
For Oscar Night
|I caught the sudden look of some dead master|
Whom I had known, forgotten, half recalled
Both one and many; in the brown baked features
The eyes of a familiar compound ghost
Both intimate and unidentifiable.
So I assumed a double part, and cried
And heard another's voice cry: 'What! are you here?'
Although we were not. I was still the same,
Knowing myself yet being someone other—
And he a face still forming; yet the words sufficed
To compel the recognition they preceded.
And so, compliant to the common wind,
Too strange to each other for misunderstanding,
In concord at this intersection time
Of meeting nowhere, no before and after,
We trod the pavement in a dead patrol.
I said: 'The wonder that I feel is easy,
Yet ease is cause of wonder. Therefore speak:
I may not comprehend, may not remember.'
And he: 'I am not eager to rehearse
My thoughts and theory which you have forgotten.
These things have served their purpose: let them be.
So with your own, and pray they be forgiven
By others, as I pray you to forgive
Both bad and good. Last season's fruit is eaten
And the fullfed beast shall kick the empty pail.
For last year's words belong to last year's language
And next year's words await another voice.
But, as the passage now presents no hindrance
To the spirit unappeased and peregrine
Between two worlds become much like each other,
So I find words I never thought to speak
In streets I never thought I should revisit
When I left my body on a distant shore.
Since our concern was speech, and speech impelled us
To purify the dialect of the tribe
And urge the mind to aftersight and foresight,
Let me disclose the gifts reserved for age
To set a crown upon your lifetime's effort.
First, the cold friction of expiring sense
Without enchantment, offering no promise
But bitter tastelessness of shadow fruit
As body and soul begin to fall asunder.
Second, the conscious impotence of rage
At human folly, and the laceration
Of laughter at what ceases to amuse.
And last, the rending pain of re-enactment
Of all that you have done, and been; the shame
Of motives late revealed, and the awareness
Of things ill done and done to others' harm
Which once you took for exercise of virtue.
Then fools' approval stings, and honour stains.
From wrong to wrong the exasperated spirit
Proceeds, unless restored by that refining fire
Where you must move in measure, like a dancer.'
Sunday, February 25, 2007 10:30 AM
"Mystery surrounds the death of young actor River Phoenix.... The
actor... was declared dead at 1:51 a.m. PT Sunday [Oct. 31, 1993].
Phoenix died about 50 minutes after collapsing in front of the Viper
Room, a new club on the Sunset Strip...."
-- Karen Thomas, USA Today, Monday, November 1, 1993
The five Log24 entries
ending on Yom Kippur, 2006.
Tuesday, February 20, 2007 10:15 AM
For Mardi Gras:
Tuesday, February 20, 2007 7:09 AM
"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. 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).
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.
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)."
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.
Sunday, February 18, 2007 10:30 AM
The Practical Cat, or...
The next novel starring
|Fishburne To Receive Honors at Cultural Rhythms |
Acclaimed actor and humanitarian chosen as the Harvard Foundation's Artist of the Year
By DORIS A. HERNANDEZ
Friday, February 16, 2007
Tony and Emmy Award-winning actor Laurence Fishburne will take the stage later this month as the 2007 Artist of the Year during the 22nd annual Cultural Rhythms festival, the Harvard Foundation for Intercultural and Race Relations announced Friday afternoon.
"Metaphor for Morphean morphosis,
Dreams that wake, transform, and die,
Calm and lucid this psychosis,
Joyce's nightmare in Escher's eye....
-- Steven H. Cullinane,
November 7, 1986,
More on metamorphosis--
Sunday, February 18, 2007 2:00 AM
O O O O that Shakespeherian Rag...
|"Many dreams have been brought to your doorstep |
They just lie there and they die there
Are you warm, are you real, Mona Lisa?
Or just a cold and lonely lovely work of art?"
-- Ray Evans, who died at 92
on Thursday, Feb. 15, 2007
Saturday, February 17, 2007 9:00 AM
The Stuff That Dreams Are Made Of:Zen Mind, Empty Mind
Friday, February 16, 2007 6:16 AM
Proposed book title:
"The much-borrowed Brown formula involves some very specific things. The name of a great artist, artifact or historical figure must be in the book’s story, not to mention on its cover. The narrative must start in the present day with a bizarre killing, then use that killing as a reason to investigate the past. And the past must yield a secret so big, so stunning, so saber-rattling that all of civilization may be changed by it. Probably not for the better.