Sunday, December 3, 2023
Monday, October 23, 2023
Elegy for Mrs. Davis*— When Starlets Are Produced
Mrs. Davis was the wife of Chandler Davis, an editor of
The Mathematical Intelligencer .
Related reading —
* Vide "Mrs. Davis" in this journal.
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Thursday, September 21, 2023
Math for Snowflakes — “When Starlets Are Produced”
The Mathematical Intelligencer Vol. 10, Issue 1, page 3 (Dec. 1988) . . .
http://www.log24.com/noindex-pdf/
Cullinane-letter-Artes_Liberales-Intelligencer.pdf —
Not a snowflake . . .
Related material . . . "Omnibus ex Nihilo."
And, for the Church of Synchronology —
Log24 on the above Instagram date:
September 8, 2022 — Chevron Variations.
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Friday, September 9, 2022
The Station
On the Way to Burning Man 2022 —
Chevrons serve as a contrast to the more highly symmetric figures
at left in yesterday morning's Analogy in Mathematics illustration —
Poetry enthusiasts might view the brick at left as
symbolizing the scepter'd isle off the west coast
of Europe, and the gap between as the English
Channel. Mind the gap.
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Thursday, September 8, 2022
Analogy in Mathematics: Chevron Variations
André Weil in 1940 on analogy in mathematics —
| . "Once it is possible to translate any particular proof from one theory to another, then the analogy has ceased to be productive for this purpose; it would cease to be at all productive if at one point we had a meaningful and natural way of deriving both theories from a single one. In this sense, around 1820, mathematicians (Gauss, Abel, Galois, Jacobi) permitted themselves, with anguish and delight, to be guided by the analogy between the division of the circle (Gauss’s problem) and the division of elliptic functions. Today, we can easily show that both problems have a place in the theory of abelian equations; we have the theory (I am speaking of a purely algebraic theory, so it is not a matter of number theory in this case) of abelian extensions. Gone is the analogy: gone are the two theories, their conflicts and their delicious reciprocal reflections, their furtive caresses, their inexplicable quarrels; alas, all is just one theory, whose majestic beauty can no longer excite us. Nothing is more fecund than these slightly adulterous relationships; nothing gives greater pleasure to the connoisseur, whether he participates in it, or even if he is an historian contemplating it retrospectively, accompanied, nevertheless, by a touch of melancholy. The pleasure comes from the illusion and the far from clear meaning; once the illusion is dissipated, and knowledge obtained, one becomes indifferent at the same time; at least in the Gitâ there is a slew of prayers (slokas) on the subject, each one more final than the previous ones." |
"The pleasure comes from the illusion" . . .
Exercise:
Compare and contrast the following structure with the three
"bricks" of the R. T. Curtis Miracle Octad Generator (MOG).
Note that the 4-row-2-column "brick" at left is quite
different from the other two bricks, which together
show chevron variations within a Galois tesseract —
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