Log24

Tuesday, May 7, 2019

Symbols and Mysteries

Filed under: General — Tags: , — m759 @ 11:21 AM

IMAGE- Like motions of a pattern's parts can induce motions of the whole. Escher-'Fishes and Scales,' Cullinane-'Invariance'

Monday, May 6, 2019

In Memoriam Goro Shimura (d. May 3, 2019)

Filed under: General — Tags: , — m759 @ 3:33 PM

From Richard Taylor, "Modular arithmetic:  driven by inherent beauty
and human curiosity
," The Letter of the Institute for Advanced Study  [IAS],
Summer 2012, pp. 6– 8 (links added) :

"Stunningly, in 1954, Martin Eichler (former IAS Member)
found a totally new reciprocity law . . . .

Within less than three years, Yutaka Taniyama and Goro Shimura
(former IAS Member) proposed a daring generalization of Eichler’s
reciprocity law to all cubic equations in two variables. A decade later,
André Weil (former IAS Professor) added precision to this conjecture,
and found strong heuristic evidence supporting the Shimura-Taniyama
reciprocity law. This conjecture completely changed the development of
number theory."

Friday, May 3, 2019

“As a Chinese jar” — T. S. Eliot

Filed under: General — Tags: , , — m759 @ 1:06 PM

 

The Structure of Story Space

Filed under: General — Tags: , — m759 @ 11:11 AM

T. S. Eliot

Four Quartets

. . . Only by the form, the pattern,
Can words or music reach
The stillness, as a Chinese jar still
Moves perpetually in its stillness.

Lévi-Strauss

A Permanent Order of Wondertale Elements

In Vol. I of Structural Anthropology , p. 209, I have shown that this analysis alone can account for the double aspect of time representation in all mythical systems: the narrative is both "in time" (it consists of a succession of events) and "beyond" (its value is permanent). With regard to Propp's theories my analysis offers another advantage: I can reconcile much better than Propp himself  his principle of a permanent order of wondertale elements with the fact that certain functions or groups of functions are shifted from one tale to the next (pp. 97-98. p. 108). If my view is accepted, the chronological succession will come to be absorbed into an atemporal matrix structure whose form is indeed constant. The shifting of functions is then no more than a mode of permutation (by vertical columns or fractions of columns).

Or by congruent quarter-sections.

Thursday, May 2, 2019

Story Space

Filed under: General — Tags: , — m759 @ 9:27 PM

"Let the Wookiee win." — C-3PO

See as well the April 8, 2019, post

Misère Play.

Friday, April 19, 2019

Math Death

Filed under: General — Tags: , — m759 @ 10:27 AM

Berlekamp reportedly died on Tuesday, April 9, 2019.

See as well this  journal on that date, in posts now tagged
Berlekamp's Game.

Monday, April 8, 2019

Misère Play

Filed under: General — Tags: , — m759 @ 5:21 PM

Facebook on Bloomsday 2017 —

Also on that Bloomsday —

Chalkroom Jungle Revisited —

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