Log24

Friday, May 21, 2004

Friday May 21, 2004

Filed under: General — Tags: — m759 @ 10:26 am

Parable, Part II

The juxtaposition in this morning's Google news of the two wedding stories below calls for some commentary.  The best I can do is the illustrations above the wedding stories, along with a link to some of the best Romani music I have ever heard, from

La Perla de Cadiz.

See also this morning's comments
on a May 24, 2003, entry
regarding the Dark Lady,
as well as the following
classic remarks by Jack Kerouac:

"So what do we all do in this life which comes on so much like an empty voidness yet warns us that we will die in pain, decay, old age, horror—?  Hemingway called it a dirty trick.  It might even be an ancient Ordeal laid down on us by an evil Inquisitor in Space, like the ordeal of the sieve and scissors, or even the water ordeal where they dump you in the water with toes tied to thumbs, O God— Only Lucifer could be so mean and I am Lucifer and I'm not that mean, in fact Lucifer goes to Heaven— The warm lips against warm necks in beds all over the world trying to get out of the dirty Ordeal by Death—

When Ben and I sober up I say 'How goes it with all that horror everywhere?'

'It's Mother Kali dancing around to eat up everything she gave birth to, eats it right back—  She wears dazzling dancing jewels and covered all over with silks and decorations and feathers, her dance maddens men, the only part of her aint covered is her vagina which is surrounded with a Mandala Crown of jade, lapis lazuli, cornelean, red pearls and mother of pearl.'

'No diamonds.'

'No, that's beyond…' "

Desolation Angels,
1960-65, Book Two, Chapter 79

Thursday, May 20, 2004

Thursday May 20, 2004

Filed under: General,Geometry — Tags: — m759 @ 7:00 am

Parable

"A comparison or analogy. The word is simply a transliteration of the Greek word: parabolé (literally: 'what is thrown beside' or 'juxtaposed'), a term used to designate the geometric application we call a 'parabola.'….  The basic parables are extended similes or metaphors."

http://religion.rutgers.edu/nt/
    primer/parable.html

"If one style of thought stands out as the most potent explanation of genius, it is the ability to make juxtapositions that elude mere mortals.  Call it a facility with metaphor, the ability to connect the unconnected, to see relationships to which others are blind."

Sharon Begley, "The Puzzle of Genius," Newsweek magazine, June 28, 1993, p. 50

"The poet sets one metaphor against another and hopes that the sparks set off by the juxtaposition will ignite something in the mind as well. Hopkins’ poem 'Pied Beauty' has to do with 'creation.' "

Speaking in Parables, Ch. 2, by Sallie McFague

"The Act of Creation is, I believe, a more truly creative work than any of Koestler's novels….  According to him, the creative faculty in whatever form is owing to a circumstance which he calls 'bisociation.' And we recognize this intuitively whenever we laugh at a joke, are dazzled by a fine metaphor, are astonished and excited by a unification of styles, or 'see,' for the first time, the possibility of a significant theoretical breakthrough in a scientific inquiry. In short, one touch of genius—or bisociation—makes the whole world kin. Or so Koestler believes."

— Henry David Aiken, The Metaphysics of Arthur Koestler, New York Review of Books, Dec. 17, 1964

For further details, see

Speaking in Parables:
A Study in Metaphor and Theology

by Sallie McFague

Fortress Press, Philadelphia, 1975

Introduction
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7

"Perhaps every science must start with metaphor and end with algebra; and perhaps without metaphor there would never have been any algebra."

— attributed, in varying forms (1, 2, 3), to Max Black, Models and Metaphors, 1962

For metaphor and algebra combined, see

"Symmetry invariance in a diamond ring," A.M.S. abstract 79T-A37, Notices of the Amer. Math. Soc., February 1979, pages A-193, 194 — the original version of the 4×4 case of the diamond theorem.

Wednesday, May 19, 2004

Wednesday May 19, 2004

Filed under: General,Geometry — Tags: , — m759 @ 2:00 pm

Style

In memory of Lynn H. Loomis:

The above diagram is from a
(paper) journal note of October 21, 1999.

It pictures the relationship of my own discovery, diamond theory (at center), to the field, harmonic analysis, of Professor Loomis, a writer whose style I have long admired.

A quotation from the 1999 note:

"…it is not impossible to draw a fairly sharp dividing line between our mental disposition in the case of esthetic response and that of the responses of ordinary life.  A far more difficult question arises if we try to distinguish it from the responses made by us to certain abstract mental constructions such as those of pure mathematics…. Perhaps the distinction lies in this, that in the case of works of art the whole end and purpose is found in the exact quality of the emotional state, whereas in the case of mathematics the purpose is the constatation of the universal validity of the relations without regard to the quality of the emotion accompanying apprehension.  Still, it would be impossible to deny the close similarity of the orientation of faculties and attention in the two cases."
— Roger Fry, Transformations (1926), Doubleday Anchor paperback, 1956, p. 8

In other words, appreciating mathematics is much like appreciating art.

(Digitized diagram courtesy of Violet.)

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