Log24

Saturday, August 8, 2020

Bullshit Studies

Filed under: General — Tags: — m759 @ 9:00 PM

In memory of Wilford Brimley:

“The polymorphic Thing, capable of absorbing the human
as but one among other morphological possibilities in its
seemingly infinite repertoire, can be understood, that is,
as the embodiment of evolution.”

— Eric White,  Science Fiction Studies  #61  (Vol. 20, Part 3, Nov. 1993),
The Erotics of Becoming: XENOGENESIS and The Thing

A Natural Diagram

Filed under: General — Tags: , — m759 @ 7:54 PM

See also other posts now tagged
       Natural Diagram .

Related remarks by J. H. Conway —

Thursday, August 6, 2020

Structure and Mutability . . .

Filed under: General — Tags: , — m759 @ 8:33 PM

Continues.

See a Log24 search for Beadgame Space.

This  post might be regarded as a sort of “checked cell”
for the above concepts listed as tags . . .

Related material from a Log24 search for Structuralism

IMAGE- Stella Octangula and Claude Levi-Strauss

Thursday, July 30, 2020

A Picture Show for Quanta Magazine

Filed under: General — Tags: , , , — m759 @ 8:33 AM

An article yesterday at Quanta Magazine  suggests a review . . .

From Diamond Theorem  images at Pinterest —

Some background —

Wednesday, July 22, 2020

Card

Filed under: General — Tags: , — m759 @ 2:48 AM

“The pattern of the thing precedes the thing.
I fill in the gaps of the crossword at any spot
I happen to choose. These bits I write on
index cards until the novel is done.”

— Vladimir Nabokov, interview,
Paris Review  No. 41 (Summer-Fall 1967).

Another story —

Related material:  Mathematics as a Black Art.

Friday, July 17, 2020

Poetic as Well as Prosaic

Filed under: General — Tags: , — m759 @ 9:51 AM

Prosaic —

Structure and Mutability

Poetic —

Crystal and Dragon

 

Prosaic —

These devices may have some
theoretical as well as practical value.

Poetic —

Counting symmetries with the orbit-stabilizer theorem

Theoretical as Well as Practical Value

Filed under: General — Tags: , , — m759 @ 12:25 AM

See also The Lexicographic Octad Generator (LOG) (July 13, 2020)
and Octads and Geometry (April 23, 2020).

Saturday, July 11, 2020

Raiders of the Lost Arkenstone

Filed under: General — Tags: — m759 @ 6:25 PM

See also the previous post and the Red Books of May 30.

Philosophy for Murdoch Fans

Filed under: General — Tags: — m759 @ 5:03 AM

The previous post contained a passage from Iris Murdoch’s
1961 essay “Against Dryness.”  Some related philosophy —

'Crystal and Dragon' by David Wade, publisher's description

For those who prefer pure mathematics to philosophical ruminations
there are some relevant remarks in my webpage of August 27, 2003.

Thursday, July 9, 2020

Fashion Space

Filed under: General — Tags: — m759 @ 7:59 PM

In memoriam

Click the quotation below for “Foster’s Space” posts.

Quote related to the 'Crystal and Dragon' concept.

The Enigma Glyphs

Filed under: General — Tags: , — m759 @ 5:53 AM

IMAGE- The Diamond Theorem

For those who  prefer fiction —

“Twenty-four glyphs, each one representing not a letter, not a word,
but a concept, arranged into four groups, written in Boris’s own hand,
an artifact that seemed to have resurrected him from the dead. It was
as if he were sitting across from Bourne now, in the dim antiquity of
the museum library.

This was what Bourne was staring at now, written on the unfolded
bit of onionskin.”

— “Robert Ludlum’s”  The Bourne Enigma , published on June 21, 2016

Passing, on June 21, 2016, into a higher dimension —

Tuesday, August 13, 2019

Putting the Structure  in Structuralism

Filed under: General — Tags: — m759 @ 8:34 PM

The Matrix of Lévi-Strauss —

(From his “Structure and Form: Reflections on a Work by Vladimir Propp.”
Translated from a 1960 work in French. It appeared in English as
Chapter VIII of Structural Anthropology, Volume 2  (U. of Chicago Press, 1976).
Chapter VIII was originally published in Cahiers de l’Institut de Science
Économique Appliquée 
, No. 9 (Series M, No. 7) (Paris: ISEA, March 1960).)

The structure  of the matrix of Lévi-Strauss —

Illustration from Diamond Theory , by Steven H. Cullinane (1976).

The relevant field of mathematics is not Boolean algebra, but rather
Galois geometry.

Friday, March 1, 2019

Solomon and the Image

Filed under: General — Tags: , , — m759 @ 2:27 AM

"Maybe an image is too strong
Or maybe is not strong enough."

— "Solomon and the Witch,"
      by William Butler Yeats

Thursday, December 22, 2016

The Meadow in December

Filed under: General — Tags: — m759 @ 7:00 PM

"icy white and crystalline" — Johnny Mercer

From a search in this journal for Hudson Hawk

See also Stella Octangula.

Monday, April 30, 2007

Monday April 30, 2007

Filed under: General,Geometry — Tags: , — m759 @ 6:24 PM
Structure and Logic

The phrase “structural logic” in yesterday’s entry was applied to Bach’s cello suites.  It may equally well be applied to geometry.  In particular:

“The aim of this thesis is to classify certain structures which are, from a certain point of view, as homogeneous as possible, that is which have as many symmetries as possible.”

Alice Devillers, “Classification of Some Homogeneous and Ultrahomogeneous Structures,” Ph.D. thesis, Université Libre de Bruxelles, academic year 2001-2002

Related material:

New models of some small finite spaces

In Devillers’s words, the above spaces with 8 and 16 points are among those structures that have “as many symmetries as possible.” For more details on what this means, see Devillers’s thesis and Finite Geometry of the Square and Cube.

 

The above models for the corresponding projective spaces may be regarded as illustrating the phrase “structural logic.”

For a possible application of the 16-point space’s “many symmetries” to logic proper, see The Geometry of Logic.

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