Saturday, September 16, 2023
Monday, September 11, 2023
“64 Likes”
Sunday, July 2, 2023
Saturday, December 3, 2022
The Primes of LCM:
2 and 3.
(See The Rimshot Muse
and Interality Again.)
This post was suggested in part by
a thoughtful obituary yesterday for
the author of The Number Devil .
I prefer Numberland .
Wednesday, August 10, 2022
A Space
"Snowman author Raymond Briggs dies aged 88"
See as well a Log24 search: Stoppard + "Leave a space" .
Related literary notes:
-
"Curiously, Fosse and actress Mariel Hemingway –
who plays Stratten – choose to depict the ill-fated Playmate
and aspiring starlet as more or less a cypher: a passive
participant in her own life. Fosse’s characterization of
Stratten, at times, borders on elliptical."
— Nick Laskin two days ago at Collider.com .
-
In this journal, "Nothing + Snowman."
- At Amazon.com: An elliptical cypher —
Monday, August 8, 2022
The Rimshot Muse
Related philosophical reflections . . .
Waxing poetic . . .
"In the Garden of Adding live Even and Odd" — E. L. Doctorow
To wit:
1/2 + 1/3 = 5/6, since the LCM of 2 and 3 is 6.
See as well . . .
Thursday, August 4, 2022
Skully*
Wednesday, August 3, 2022
From the “Shifting Phantasmagoria” of Joan Didion
Scully Disambiguation
In order, approximately, of increasing popularity:
Sean Scully, artist, whose work is the subject of
the recent book and exhibition, "The Shape of Ideas."
Vincent Scully, architectural historian at Yale.
Vincent Edward ("Vin") Scully, "Voice of the Dodgers"
Tuesday, August 2, 2022
A Separatrix for Kipnis*
8/2
* See Kipnis in this journal. For instance . . .
The trait of Derrida is mentioned also in
the paper from yesterday's Gefüge post.
Monday, August 1, 2022
Enowning
Related material — The Eightfold Cube.
See also . . .
"… Mathematics may be art, but to the general public it is
a black art, more akin to magic and mystery. This presents
a constant challenge to the mathematical community: to
explain how art fits into our subject and what we mean by beauty."
— Sir Michael Atiyah, “The Art of Mathematics”
in the AMS Notices , January 2010
Interality Again: The Art of the Gefüge
"Schufreider shows that a network of linguistic relations
is set up between Gestalt, Ge-stell, and Gefüge, on the
one hand, and Streit, Riß, and Fuge, on the other . . . ."
— From p. 14 of French Interpretations of Heidegger ,
edited by David Pettigrew and François Raffoul.
State U. of New York Press, Albany, 2008. (Links added.)
One such "network of linguistic relations" might arise from
a non-mathematician's attempt to describe the diamond theorem.
(The phrase "network of linguistic relations" appears also in
Derrida's remarks on Husserl's Origin of Geometry .)
For more about "a system of slots," see interality in this journal.
The source of the above prefatory remarks by editors Pettigrew and Raffoul —
"If there is a specific network that is set up in 'The Origin of the Work of Art,'
a set of structural relations framed in linguistic terms, it is between
Gestalt, Ge-stell and Gefüge, on the one hand, and Streit, Riß and Fuge,
on the other; between (as we might try to translate it)
configuration, frame-work and structure (system), on the one hand, and
strife, split (slit) and slot, on the other. On our view, these two sets go
hand in hand; which means, to connect them to one another, we will
have to think of the configuration of the rift (Gestalt/Riß) as taking place
in a frame-work of strife (Ge-stell/Streit) that is composed through a system
of slots (Gefüge/Fuge) or structured openings."
— Quotation from page 197 of Schufreider, Gregory (2008):
"Sticking Heidegger with a Stela: Lacoue-Labarthe, art and politics."
Pp. 187-214 in David Pettigrew & François Raffoul (eds.),
French Interpretations of Heidegger: An Exceptional Reception.
State University of New York Press, 2008.
Update at 5:14 AM ET Wednesday, August 3, 2022 —
See also "six-set" in this journal.
"There is such a thing as a six-set."
— Saying adapted from a 1962 young-adult novel.
Review
From Log24 posts tagged Art Space —
From a paper on Kummer varieties,
arXiv:1208.1229v3 [math.AG] 12 Jun 2013,
“The Universal Kummer Threefold,” by
Qingchun Ren, Steven V Sam, Gus Schrader,
and Bernd Sturmfels —
Two such considerations —
Monday, July 18, 2022
“The Shape of Ideas”
Some may prefer other concepts of shape. For instance …
… and, from Log24 on the above Yalebooks date —
Related material:
From "Higman- Sims Graph," a webpage by A. E. Brouwer — "Similar to the 15+35 construction of the Hoffman-Singleton graph is the 30+70 construction of the Higman-Sims graph. In the former the starting point was that the lines of PG(3,2) can be labeled with the triples in a 7-set such that lines meet when the corresponding triples have 1 element in common. This time we label the lines of PG(3,2) with the 4+4 splits of an 8-set, where intersecting lines correspond to splits with common refinement 2+2+2+2. Clearly, both descriptions of the lines of PG(3,2) are isomorphic. Take as vertices of the Higman-Sims graph the 15 points and 15 planes of PG(3,2) together with the 70 4-subsets of an 8-set. Join two 4-sets when they have 1 element in common. A 4-set determines a 4+4 split and hence a line in PG(3,2), and is adjacent to the points and planes incident with that line. A plane is adjacent to the nonincident points. This yields the Higman-Sims graph." |
See also PG(3,2) in this journal.