Log24

Wednesday, April 10, 2024

Folie à Quatre : A Four-Color Problem

Filed under: General — Tags: , , , , — m759 @ 12:40 pm

See as well, in this  journal, four colors.

Monday, April 8, 2024

Alexandria Quartets*

Filed under: General — Tags: , — m759 @ 11:57 am

Arrival at CERN

For my own arrival at CERN, see Zenodo in this journal.

* A title suggested by the work of Lawrence Durrell and by
geometric  quartets in figurate geometry.

Tuesday, January 17, 2023

Alexandria Quartets

Filed under: General — Tags: — m759 @ 4:55 pm

"Remember your epiphanies on green oval leaves,
deeply deep, copies to be sent if you died to all
the great libraries of the world, including Alexandria?"

Annals of Scientific Theology

Filed under: General — Tags: , , — m759 @ 2:11 pm

"Think of it as a cybernetic version of prayer…."

— Dennis Overbye in today's online New York Times ,

https://www.nytimes.com/2023/01/17/science/
cosmology-universe-programming.html
.

Related remarks:  The Log24 tag Geheimnis der Einheit, and . . .

Related art — "The Difference," a Log24 post of Epiphany 2010.

Saturday, January 14, 2023

Châtelet on Weil — A “Space of Gestures”

Filed under: General — Tags: , , , — m759 @ 2:21 pm
 

From Gilles Châtelet, Introduction to Figuring Space
(Springer, 1999) —

Metaphysics does have a catalytic effect, which has been described in a very beautiful text by the mathematician André Weil:

Nothing is more fertile, all mathematicians know, than these obscure analogies, these murky reflections of one theory in another, these furtive caresses, these inexplicable tiffs; also nothing gives as much pleasure to the researcher. A day comes when the illusion vanishes: presentiment turns into certainty … Luckily for researchers, as the fogs clear at one point, they form again at another.4

André Weil cuts to the quick here: he conjures these 'murky reflections', these 'furtive caresses', the 'theory of Galois that Lagrange touches … with his finger through a screen that he does not manage to pierce.' He is a connoisseur of these metaphysical 'fogs' whose dissipation at one point heralds their reforming at another. It would be better to talk here of a horizon that tilts thereby revealing a new space of gestures which has not as yet been elucidated and cut out as structure.

4 A. Weil, 'De la métaphysique aux mathématiques', (Oeuvres, vol. II, p. 408.)

For gestures as fogs, see the oeuvre of  Guerino Mazzola.

For some clearer remarks, see . . .


Illustrations of object and gestures
from finitegeometry.org/sc/ —

 

Object

 

Gestures

An earlier presentation
of the above seven partitions
of the eightfold cube:

Seven partitions of the 2x2x2 cube in a book from 1906

Related material: Galois.space .

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