Thursday, June 20, 2024
Saturday, May 11, 2024
The Pilot Fish
"That year the rich came led by the pilot fish.
A year before they would never have come.
There was no certainty then.
The work was as good and the happiness was greater
but no novel had been written, so they could not be sure.
They never wasted their time nor their charm
on something that was not sure. Why should they?"
A Bridge for Brolin*
This journal on the above Bridge date — July 10, 2013 —
"…des carreaux mi-partis de deux couleurs
par une ligne diagonale…."
See also Josefine Lyche in Vril Chick
and Bowling in Diagon Alley.
* The Brolin of "No Country for Old Men" and "Sicario."
Friday, May 10, 2024
Jews and Space
A relevant author (click to enlarge) —
For a related tune, see the concepts of space in the previous post.
Requiem for a Different Drummer
See also this journal on the above YouTube date — April 4, 2010.
Annals of Set Design
Thursday, May 9, 2024
Raiders of the Unifying Theory
Halle Berry as Rosetta Stone:
From Tablet Magazine on Monday, May 6, 2024 . . .
<div class="BlockContent col-12 lg:col-10 xl-wide:col-8 mxauto"> <p>Thus do we find ourselves in a regular <a href="https://www.youtube.com/watch?v=4ToUAkEF_d4"> lattice of coincidence</a>.</p></div>
That link leads to . . .
Those who prefer Sting's approach to synchronistic theory may
consult this journal on the above YouTube date — Dec. 1, 2008.
Wednesday, May 8, 2024
An Antidote to Quanta Magazine
From Quanta Magazine on Monday, May 6, 2024, in
"A Rosetta Stone for Mathematics," by Kevin Hartnett —
" Then he came to the main point of his letter:
He was building such a bridge. He wrote,
'Just as God defeats the devil: this bridge exists.'
The bridge that Weil proposed
is the study of finite fields…."
This is damned nonsense.
From Log24 on June 23, 2005 —
In “A 1940 Letter of André Weil on Analogy in Mathematics,” (pdf), translated by Martin H. Krieger, Notices of the A.M.S., March 2005, Weil writes that “The purely algebraic theory of algebraic functions in any arbitrary field of constants is not rich enough so that one might draw useful lessons from it. The ‘classical’ theory (that is, Riemannian) of algebraic functions over the field of constants of the complex numbers is infinitely richer; but on the one hand it is too much so, and in the mass of facts some real analogies become lost; and above all, it is too far from the theory of numbers. One would be totally obstructed if there were not a bridge between the two. And just as God defeats the devil: this bridge exists; it is the theory of the field of algebraic functions over a finite field of constants…. On the other hand, between the function fields and the ‘Riemannian’ fields, the distance is not so large that a patient study would not teach us the art of passing from one to the other, and to profit in the study of the first from knowledge acquired about the second, and of the extremely powerful means offered to us, in the study of the latter, from the integral calculus and the theory of analytic functions. That is not to say that at best all will be easy; but one ends up by learning to see something there, although it is still somewhat confused. Intuition makes much of it; I mean by this the faculty of seeing a connection between things that in appearance are completely different; it does not fail to lead us astray quite often. Be that as it may, my work consists in deciphering a trilingual text {[cf. the Rosetta Stone]}; of each of the three columns I have only disparate fragments; I have some ideas about each of the three languages: but I know as well there are great differences in meaning from one column to another, for which nothing has prepared me in advance. In the several years I have worked at it, I have found little pieces of the dictionary. Sometimes I worked on one column, sometimes under another.” |
Quanta Magazine's statement:
"The bridge that Weil proposed
is the study of finite fields…."
Here "the study of finite fields" is a contemptibly distorted
dumbing-down of Weil's phrase
"the theory of the field of algebraic functions
over a finite field of constants."
For that topic, see (for instance) . . .
Update at 5:35 PM ET —A different reaction to the Hartnett article —
Thursday, May 11, 2023
Approaching the End of the Route
Images suggested by the above route number, 948 —
This post was suggested by the reported death last Friday (May 5)
at 91 of Christian Alexander Maria Strachwitz, folk music collector.
Sunday, January 22, 2023
The Stillwell Dichotomies
Number | Space |
Arithmetic | Geometry |
Discrete | Continuous |
Related literature —
From a "Finite Fields in 1956" post —
The Nutshell:
Related Narrative: