Log24

Thursday, March 4, 2021

Continuity

Filed under: General — Tags: — m759 @ 12:49 PM

Actually, Dirac “bridged math and physics” much earlier —

“Spinors, which are a kind of square root of vectors, had been introduced
in algebra and also in physics as part of Paul Dirac’s theory of the electron.
A spin structure on a manifold allows such square roots to exist.”

Quanta Magazine  today, article by Daniel S. Freed

See The Eddington Song  and . . .

Poetic paraphrase
“How can we tell the singer from the song?”

Parallelisms

Filed under: General — Tags: , — m759 @ 12:16 PM

Teaching the Academy to See

Filed under: General — Tags: , — m759 @ 11:03 AM

“Art bears the same relationship to society
that the dream bears to mental life. . . .
Like art, the dream mediates between order
and chaos. So, it is half chaos. That is why
it is not comprehensible. It is a vision, not
a fully fledged articulated production.
Those who actualize those half-born visions
into artistic productions are those who begin
to transform what we do not understand into
what we can at least start to see.”

— A book published on March 2, 2021:
Beyond Order , by Jordan Peterson

The inarticulate, in this case, is Rosalind Krauss:

A “raid on the inarticulate” published in Notices of the
American Mathematical Society  in the February 1979 issue —

The Cullinane diamond theorem, AMS Notices, Feb. 1979, pp. A-193-194

Wednesday, March 3, 2021

Out on the Cutting Edge*

Filed under: General — Tags: — m759 @ 1:45 PM
That edge, where artists are always transforming chaos into order, can be a very rough and dangerous place. Living there, an artist constantly risks falling fully into the chaos, instead of transforming it. But artists have always lived there, on the border of human understanding. Art bears the same relationship to society that the dream bears to mental life. You are very creative when you are dreaming. That is why, when you remember a dream, you think, “Where in the world did that come from?” It is very strange and incomprehensible that something can happen in your head, and you have no idea how it got there or what it means. It is a miracle: nature’s voice manifesting itself in your psyche. And it happens every night. Like art, the dream mediates between order and chaos. So, it is half chaos. That is why it is not comprehensible. It is a vision, not a fully fledged articulated production. Those who actualize those half-born visions into artistic productions are those who begin to transform what we do not understand into what we can at least start to see. That is the role of the artist, occupying the vanguard. That is their biological niche. They are the initial civilizing agents.

— Peterson, Jordan B., Beyond Order  (p. 215),
published on March 2, 2021.
Penguin Publishing Group. Kindle Edition.

See also . . .

 

* Title credit

Click for a clearer version —

Tuesday, March 2, 2021

For Fans of Chaos Magic

Filed under: General — Tags: — m759 @ 10:51 PM

The phrase “Chaos Magic” in the conclusion of last week’s
WandaVision episode suggests . . .

Friday, February 26, 2021

Non-Chaos Non-Magic

Filed under: General — Tags: , — m759 @ 12:21 PM

For fans of “WandaVision” —

“1978 was perhaps the seminal year in the origin of chaos magic. . . .”

Wikipedia article on Chaos Magic

Non-Chaos Non-Magic from Halloween 1978 —

The Cullinane diamond theorem, AMS Notices, Feb. 1979, pp. A-193-194

Related material —

A doctoral student of a different  Peter Cameron

( Not to be confused with The Tin Man’s Hat. )

Saturday, January 20, 2018

The Chaos Symbol of Dan Brown

Filed under: General,Geometry — Tags: — m759 @ 1:30 AM

In the following passage, Dan Brown claims that an eight-ray star
with arrowheads at the rays’ ends is “the mathematical symbol for
entropy.”  Brown may have first encountered this symbol at a
questionable “Sacred Science” website.  Wikipedia discusses
some even less  respectable uses of the symbol.

Related news —

Related symbolism —

http://www.log24.com/log/pix11/110219-SquareRootQuaternion.jpg

A star figure and the Galois quaternion.

The square root of the former is the latter.

Powered by WordPress