Log24

Tuesday, September 6, 2022

Gell-Mann Meets Bosch* at Hiroshima

Filed under: General — Tags: — m759 @ 3:18 am

Gell-Mann Meets Bosch . . .

At Hiroshima . . .

Iain Aitchison's 'dice-labelled' cuboctahedron at Hiroshima, March 2018

* The Bosch  cuboctahedron is from an exhibition at Napoli in 2021.

See also, from that exhibition's starting date,
the Log24 post Desperately Seeking Symmetry.

Monday, September 5, 2022

Annals of Science: Cognitive Testing

Filed under: General — m759 @ 6:03 pm

See also http://m759.net/wordpress/?s="Block+Design"

2001: A Time Odyssey

Filed under: General — m759 @ 4:15 pm

See as well a search for intelligent life at Santa Cruz —

Related art —

Sunday, September 4, 2022

Dice and the Eightfold Cube

Filed under: General — Tags: , , , , — m759 @ 4:47 pm

At Hiroshima on March 9, 2018, Aitchison discussed another
"hexagonal array" with two added points… not at the center, as
in the Gell-Mann picture above, but rather at the ends  of one of
a cube's four diagonal axes of symmetry.

See some related illustrations below. 

Fans of the fictional "Transfiguration College" in the play
"Heroes of the Fourth Turning" may recall that August 6,
another Hiroshima date, was the Feast of the Transfiguration.

Iain Aitchison's 'dice-labelled' cuboctahedron at Hiroshima, March 2018

The exceptional role of  0 and  in Aitchison's diagram is echoed
by the occurence of these symbols in the "knight" labeling of a 
Miracle Octad Generator octad —

Transposition of  0 and  in the knight coordinatization 
induces the symplectic polarity of PG(3,2) discussed by 
(for instance) Anne Duncan in 1968.

Saturday, September 3, 2022

1984 Revisited

Filed under: General — m759 @ 2:46 pm

Cube Bricks 1984 —

An Approach to Symmetric Generation of the Simple Group of Order 168

Related material

Note the three quadruplets of parallel edges  in the 1984 figure above.

Further Reading

The above Gates article appeared earlier, in the June 2010 issue of
Physics World , with bigger illustrations. For instance —

Exercise: Describe, without seeing the rest of the article,
the rule used for connecting the balls above.

Wikipedia offers a much clearer picture of a (non-adinkra) tesseract —

      And then, more simply, there is the Galois tesseract

For parts of my own  world in June 2010, see this journal for that month.

The above Galois tesseract appears there as follows:

Image-- The Dream of the Expanded Field

See also the Klein correspondence in a paper from 1968
in yesterday's 2:54 PM ET post

Friday, September 2, 2022

Kyoto Prize

Filed under: General — Tags: — m759 @ 9:43 pm

Related material —

Wittgenstein and Fly from Fly-Bottle

Fly from Fly Bottle

History of Mathematics

Filed under: General — m759 @ 2:54 pm

Anne Duncan in 1968 on a 1960 paper by Robert Steinberg —


_______________________________________________________________________________

Related remarks in this  journal — Steinberg + Chevalley.

Related illustrations in this journal — 4×4.

Related biographical remarksSteinberg Deathdate.

Independence

Filed under: General — m759 @ 11:22 am

On the wife of the fictional billionaire Byron Gogol

Continuing the theme of independence, a less fictional Byron . . .

Thursday, September 1, 2022

Plan 9: A Recurring Theme

Filed under: General — m759 @ 7:23 pm

September Morn Concludes

Filed under: General — Tags: , — m759 @ 11:56 am

"This is the worst trip I've ever been on"

Sloop John B lyrics.  

That song was played at the end of the TV series
"The Resort," which concluded today.

Wednesday, August 31, 2022

Release Dates: The Iceman Goeth

Filed under: General — Tags: , — m759 @ 1:41 pm

Part I —

Also in May 1986 —

86-05-08… A linear complex related to M24 .

Anatomy of the polarity pictured in the 86-04-26 note.

86-05-26… The 2-subsets of a 6-set are the points of a PG(3,2).

Beutelspacher's model of the 15 points of PG(3,2)
compared with a 15-line complex in PG(3,2).


Part II — (36 years later)

Tuesday, August 30, 2022

Geometry d’Or

Filed under: General — Tags: — m759 @ 8:20 pm

On the director of "The Square" —

For Gaynil

Filed under: General — m759 @ 7:19 pm

Related material — The Hunt for Blue August.

http://www.log24.com/log10/saved/100813-Contact.jpg

Space Notes

Filed under: General — Tags: — m759 @ 11:09 am

Also on January 17, 2022 . . .

Related space remarks:  Overarching.space.

Quartets.space

Filed under: General — Tags: — m759 @ 3:22 am

Four Quartets

Monday, August 29, 2022

Euphoria High Meets Dragonrider School

Filed under: General — Tags: — m759 @ 2:19 pm

A literary  prequel to the new HBO series "House of the Dragon" —

Sunday, August 28, 2022

Upriver

Filed under: General — Tags: — m759 @ 12:30 pm

From http://usuarios.lycos.es/jabizanda/album/miscelanea/tn/Apocal.jpg.index.html

The Turning

Filed under: General — Tags: — m759 @ 11:00 am

For fans of the fictional Transfiguration College, an institution
in the play "Heroes of the Fourth Turning" — now reportedly
featuring Sophia Lillis in an upcoming Washington, D.C., production

See "theatrical Hiroshimas" and "Jolt" in this journal.

Related philosophy — Taiji.

Saturday, August 27, 2022

Lullaby 86

Filed under: General — Tags: — m759 @ 10:18 pm

In memory of a founder of MCC Theater:

A musical rendition of the ending of the classic
1947  E. B. White short story
"The Second Tree from the Corner."

Endings

Filed under: General — Tags: — m759 @ 1:23 pm

"In my beginning is my end." — T. S. Eliot

Two readings from December 7, 2008 —

  • A column on Eliot's remark that reportedly "originally appeared in 
    the December 7, 2008, edition of Our Sunday Visitor  newspaper"
  • "Space and the Soul," a Log24 post, also from December 7, 2008.

A related quotation, suggested by the now-deceased professor David Lavery
of Middle Tennessee State University —

Lavery, a professor of English, was born in 1949 in Oil CIty, Pa.

Friday, August 26, 2022

“A Room Somewhere” — Song Lyric

Filed under: General — Tags: , , — m759 @ 7:59 pm

The Peacock series "The Resort" yesterday presented its concept
of "a room outside of time" (the Pasaje ) as a hole in the ground.

A concept I prefer

The 'High Life' concept of 'Room' (cf. German 'Raum')

Thursday, August 25, 2022

Affine I Ching

Filed under: General — Tags: — m759 @ 10:45 pm

'Affine I Ching' image search

Affine Lo Shu

Filed under: General — Tags: , — m759 @ 5:37 pm

'Affine Lo Shu' Google search

Meditation on a Song Lyric

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

"I saw a werewolf with a Chinese menu in his hand
Walking through the streets of Soho in the rain"

— Warren Zevon

See other posts now tagged Structure Character.

Wednesday, August 24, 2022

Metaphor

Filed under: General — m759 @ 2:53 pm

The Wondertale Tag

Filed under: General — m759 @ 1:19 am

See as well the Tolkien  release date in Wondertale posts.

Tuesday, August 23, 2022

Pasaje:  Raiders of the Lost Chord

Filed under: General — Tags: — m759 @ 1:17 pm

Season 1 of "The Resort" will end as "The Lord of the Rings:
The Rings of Power
" begins.

For seekers of the Pasaje — "The Room Outside of Time" —

"The Vision is of what the transliteration of their collaborative
Great Music into a material reality would be like. They are
shown that the Music has a point, has a result and effect
beyond its composition and singing: it amounts to no less
than a highly detailed template commensurate with the entire
history – beginning to end – of a material, 'physical' Universe
that could exist inside 'time'." 

— https://lotr.fandom.com/wiki/Ainulindal%C3%AB

Chair

Filed under: General — Tags: — m759 @ 2:40 am

"Where fashion sits" — Song lyric

Monday, August 22, 2022

Tokens/Totems

Filed under: General — Tags: , , — m759 @ 7:23 pm

See Ballet Blanc  and Black Art in this journal.

From the former:

"A blank underlies the trials of device."

— Wallace Stevens

From the latter:

IMAGE- 'Inception' totems: red die and chess bishop, with Inception 'Point Man' poster

La Chair et l’Esprit

Filed under: General — m759 @ 2:17 pm

Lilyjcollins, https://www.instagram.com/p/ChiBYx2PsaO/

Sunday, August 21, 2022

Ophelia’s Song

Filed under: General — m759 @ 3:27 pm

Lilyjcollins, https://www.instagram.com/p/ChiBYx2PsaO/

Or: Verbum Sat .

Saturday, August 20, 2022

Recent Configuration Geometry

Filed under: General — Tags: — m759 @ 3:37 pm

From "A special configuration of 12 conics and generalized Kummer surfaces,"
by David Kohel, Xavier Roulleau, and Alessandra Sarti.
(arXiv:2004.11421 (math), submitted on 23 Apr 2020 (v1),
last revised 17 May 2021 (this version, v2)) —

"… we study the set C12 of conics that contain at least 6 points in P9.  One has

Theorem 1. The set C12 has cardinality 12. Each conic in C12 contains exactly
6 points in P9 and through each point in P9 there are 8 conics. The sets (P9, C12)
form therefore a (98, 126)-configuration.

The configuration (P9, C12) has interesting symmetries, e.g. there are 8 conics
among the 12 passing through a fixed point q in P9 and the 8 points in P9 \ {q},
which form a 85 point-conic configuration. The freeness of the arrangement of
curves C12 is studied in [19], where we learned that this configuration has been
also independently discovered in [11]."

[11] Dolgachev I., Laface A., Persson U., Urzúa G.,
"Chilean configuration of conics, lines and points," preprint.
(arXiv:2008.09627 (math), submitted on 21 Aug 2020)

[19] Pokora P., Szemberg T.,
"Conic-line arrangements in the complex projective plane," preprint
(arXiv:2002.01760 (math), submitted on 5 Feb 2020 (v1),
last revised 10 Feb 2022 (this version, v3))

Friday, August 19, 2022

The Guy Embedding

Filed under: General — Tags: , , — m759 @ 3:43 pm

M. J. T. Guy discovered that the lexicographic  version
of the Golay code contains, embedded within it, the
Miracle Octad Generator  (MOG)  of R. T. Curtis.

For 12 basis vectors of the lexicographic version, see below.

Basis vectors for the lexicographic version of the binary Golay code

For some context, click the embedded guy.

For a closely related, but simpler, mathematical
structure, see posts tagged The Omega Matrix.

Mathematical Evolution

Filed under: General — Tags: , — m759 @ 2:49 am

From the Stillwell remembrance, a Shenitzer quote —

"An English major may or may not be a novelist or a poet,
but would undoubtedly be expected to be able to evaluate
a novel or a poem. The term 'English major' implies some
historical, philosophical, and evaluative training and
competence. It is sad but true that the term 'mathematician'
does not imply corresponding training and competence."

Related material — The previous post, and posts tagged Super-8.

Cut  Geometry

Filed under: General — Tags: , — m759 @ 12:15 am

"… the new geometries … provide the best example of
the power of the human mind, for the mind had to defy
and overcome habit, intuition, and sense perceptions
to produce these geometries."

— Morris Kline, Mathematics in Western Culture ,
Oxford University Press, 1953, page 430.
 

Points  as Cuts

Points as Cuts: Some Small Finite Spaces

Thursday, August 18, 2022

The Razr’s Edge

Filed under: General — Tags: , — m759 @ 2:42 pm

A view from Hollywood

A view from Silicon Valley

A view from the Holiday Hotel

'The Resort' S1E1 - The 2007 Razr

Wednesday, August 17, 2022

Carnival Knowledge

Filed under: General — Tags: — m759 @ 8:03 pm
 

"This discussion, intended to define the nature and the largest common denominator of all games, has at the same time the advantage of placing their diversity in relief and enlarging very meaningfully the universe ordinarily explored when games are studied. In particular, these remarks tend to add two new domains to this universe: that of wagers and games of chance, and that of mimicry and interpretation. Yet there remain a number of games and entertainments that still have imperfectly defined characteristics— for example, kite-flying and top-spinning, puzzles such as crossword puzzles, the game of patience, horsemanship, seesaws, and certain carnival attractions."

Caillois, Roger. 1913-1978, in
Man, Play and Games, Chapter 1, "The Definition of Play."

Translated by Meyer Barash from Les jeux et les hommes .
French original © 1958 by Librairie Gallimard, Paris.
English translation © 1961 by The Free Press of Glencoe, Inc.

See also Caillois in the previous post.

The Holiday Hotel

Filed under: General — Tags: — m759 @ 6:01 pm

'Desperate Games' cover

See as well the discussion of 

"the flag of the nude above the holiday hotel,"

on pages 108-109 in 

Leon Surette, “Wallace Stevens, Roger Caillois and
‘The Pure Good of Theory'
,” Paideuma , Vol. 32, 
Nos. 1-2-3 (Spring, Fall and Winter 2003), pp. 95-122

Cold Comfort Dam

Filed under: General — Tags: , — m759 @ 10:50 am

"And, as with all retold tales that are in people's hearts,
there are only good and bad things and black and white
things and good and evil things and no in-between anywhere."

— John Steinbeck, author's epigraph to The Pearl

From the Season 4 finale of Westworld :
uploading Dolores's pearl at Hoover Dam —

For those who prefer greater theological simplicity . . .

Optimus Prime on a different Hoover Dam figure, that of 
the AllSpark: "Before time began, there was the Cube."

Simplifying even more . . .

“A set having three members is a single thing
wholly constituted by its members but distinct from them.
After this, the theological doctrine of the Trinity as
‘three in one’ should be child’s play.”

– Max Black, Caveats and Critiques: Philosophical Essays
in Language, Logic, and Art
 , Cornell U. Press, 1975

IMAGE- The Trinity of Max Black (a 3-set, with its eight subsets arranged in a Hasse diagram that is also a cube)

As above, Black's theology forms a cube.

Cold Comfort

Filed under: General — Tags: , — m759 @ 9:32 am

Some will prefer Leonard  Bernstein.

From a search in this  journal for Bernstein + Mahler

IMAGE- 'Bernstein conducts Mahler 9th ending'

Tuesday, August 16, 2022

The Central Forum

Filed under: General — m759 @ 10:11 am

A Web search shows that the above 2014 photo is, specifically,
from June 26, 2014, when the guest speaker was Jules Feiffer.

See as well this  journal on June 26, 2014.

The Pristine Edge of Darkness

 

Westworld Season 4 Episode 8 (Finale)

Christina: Where am I? 
Maya: You're nowhere. Unplugged from the rest of the world. (Wind swooshing)
Christina: I'm alone again. In the walled garden. 
Maya: You're scared. So you brought me back. Talk to me, Chrissie. 
Christina: Everything is destroyed. Everyone is dying. I don't know. (Wind whooshing) (Leaves rustling) But I think it may be my fault. (Melancholic music playing) 
Maya: You know, people think they know what a tree is. They have no idea. What we see, it's only part of the story. But beneath the ground… everything's connected and working together. There's violence and chaos everywhere. And you can choose to focus on all of that. And that's all you'll see. But if you sit still… (Leaves rustling) …long enough… you'll sense an ancient order. A deep peace. (Breathes deeply) And that's what I choose to see. (Inhales) I see the beauty in this world. 
Christina: Yes. (Chuckles softly) I know the feeling. 
Maya: I thought you might. (Melancholic music concludes)

Read more at
https://tvshowtranscripts.ourboard.org/
viewtopic.php?f=738&t=55566

From a college botany laboratory in the 1915
D. H. Lawrence novel The Rainbow

"Suddenly she had passed away into
an intensely-gleaming light of knowledge."

A later passage in the same novel, under
a metaphorical Tree of Life —

"She passed away as on a dark wind, far, far away,
into the pristine darkness of paradise, into the original
immortality. She entered the dark fields of immortality."

Some will prefer . . .

For further context, see posts tagged Screw Theory.

Monday, August 15, 2022

Holding the Center: A Study in Composition

Filed under: General — Tags: — m759 @ 1:58 pm

Earlier . . .

The Dark Fields… Continues.

Filed under: General — Tags: , — m759 @ 1:36 pm

See also Dark Fields in this journal.

Pyramid Song

Filed under: General — m759 @ 3:55 am

Sunday, August 14, 2022

The Fourth Poet*

Filed under: General — Tags: — m759 @ 10:00 am

* See the previous post.

Saturday, August 13, 2022

Summer Reading

Filed under: General — Tags: , — m759 @ 11:28 am

At the End

Filed under: General — m759 @ 10:44 am

See as well the above eight-ray star in Damnation Morning posts.

For the Late Zoltan Dienes (and Charles Kinbote)*

Filed under: General — m759 @ 4:56 am

[Shortly after 4 p.m. in Cetinje would have been shortly after 10 a.m. ET.]

* See Dienes and Kinbote in this journal.

Friday, August 12, 2022

The Representation Stage

Filed under: General — Tags: — m759 @ 6:40 pm

See also "Abstract Signature" in this journal.

Line of Action

Filed under: General — Tags: , — m759 @ 10:39 am

The art-school phrase "line of action" has a mathematical counterpart.

Some background . . .

In memoriam —

For those who prefer bullshit . . .

https://www.forbes.com/sites/chadorzel/2016/11/21/
the-physics-that-got-left-out-of-arrival/?sh=40db87855a0a
.

Mathematical Games: The Common Core

Filed under: General — Tags: — m759 @ 8:17 am

'The Resort' S1E5 - Shapes Puzzle

“There comes a time when the learner has identified
the abstract content of a number of different games
and is practically crying out for some sort of picture
by means of which to represent that which has been
gleaned as the common core of the various activities.”

— Article  at Zoltan Dienes’s website

This quote is from a Log24 post of Feb. 6, 2014,
The Representation of Minus One.

Thursday, August 11, 2022

“Enhance your line of action”

Filed under: General — Tags: , , — m759 @ 6:55 pm

Space X

Filed under: General — Tags: — m759 @ 11:18 am

"Leave a space." — Tom Stoppard, "Jumpers"

See also Lily Collins's recent ice-cream-cone post.

The number 105 displayed in that post may suggest,
to sufferers from apophenia, the date  1/05.

See that date in this journal. For the color  of Collins's
ice cream — lavender — see posts now tagged Space X.

Wednesday, August 10, 2022

Hollywood Reality Check

Filed under: General — m759 @ 11:39 am

For Jeff Bridges and John Lithgow

(as well as Old Man creators Steinberg and Levine) —

A Space

Filed under: General — Tags: — m759 @ 9:20 am

"Snowman author Raymond Briggs dies aged 88"

See as well a Log24 search Stoppard + "Leave a space" .

Related literary notes:

Tuesday, August 9, 2022

Book Lovers Day

Filed under: General — Tags: , — m759 @ 11:43 am

Click El Catalejo  below for some book-related remarks.

Nihilism for Science Groupies

Filed under: General — Tags: — m759 @ 10:21 am

Related, but only poetically —

The Pure Mathematics of Power Sets.

The Yosemite Six

Filed under: General — Tags: — m759 @ 9:39 am

"Jurassic World: Maisie Lockwood Adventures 2: The Yosemite Six ​​​​
will be released on September 27, 2022."

Thanks for the warning.

Of greater interest to some: The Number  Six.

Mirror, Mirror

Filed under: General — Tags: — m759 @ 3:04 am

A phrase from the above scene: "the metaphysics of identity."

I prefer a May 1986 looking-glass from pure mathermatics.

Story Line

Filed under: General — Tags: — m759 @ 12:44 am

"Down the arches of the years"

The above phrase was quoted in a novel by Joan Didion.

Monday, August 8, 2022

“An Air of Freedom”

Filed under: General — Tags: , — m759 @ 4:10 pm

Update of 4:50 PM ET the same day —

Summer Camp: De Bas* en Haut**

Filed under: General — Tags: — m759 @ 12:25 pm

See more? Yes, Yes!


* See this morning's Rimshot Muse.

** See Lillian Roth in Madam Satan (1930, pre-Code).

Centro Linden

Filed under: General — m759 @ 6:52 am

The centrolinden.com address in the previous post
suggests a search for Navarre  in this journal that yields

“D’exterieur en l’interieur entre
Qui va par moi, et au milieu du centre
Me trouvera, qui suis le point unique,
La fin, le but de la mathematique;
Le cercle suis dont toute chose vient,
Le point ou tout retourne et se maintient.”

— Marguerite de Navarre

The Rimshot Muse

Filed under: General — Tags: — m759 @ 6:11 am

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 . . .

Sunday, August 7, 2022

For the Church of the Wicked Stepmother:

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

Progressive Matrices

A sample Raven's Progressive Matrices  test item —

IMAGE- Raven's Progressive Matrices item with symbols from Cullinane's box-style I Ching

IMAGE- Charlize Theron as Ravenna with raven in poster for 'Snow White and the Huntsman'

Update of 10 AM ET Sunday, August 7, 2022 —

See as well Siobhan Roberts on geometry in The New York Times
on March 22, 2022, and a Log24 post on geometry on that date.

From Coxeter’s Nutshell: Points and Marks

Filed under: General — Tags: — m759 @ 12:00 am

Saturday, August 6, 2022

Atman

Filed under: General — Tags: — m759 @ 2:29 pm

Bob and Carol

… And then there is the Jack Carr version of Snuggles.

Myth Space Date Note

Filed under: General — Tags: , — m759 @ 11:54 am

The above obituary reports a death that happened on July 23.
Also on that date . . . Myth Space and Date Note.

Metadata

Filed under: General — Tags: , — m759 @ 6:29 am

Also on Aug. 2, 2019 —

Later that August —

Also on Aug. 6, 2019 —

The Story of Q:  Quantity/Quality

Filed under: General — Tags: , — m759 @ 5:12 am

"“Quantity has a quality all its own.”
James Stavridis, quoted on Aug. 5, 2022.

Friday, August 5, 2022

A Lockscreen for Sunrise

Filed under: General — Tags: — m759 @ 5:13 am

Thursday, August 4, 2022

Motif

Filed under: General — Tags: , , — m759 @ 7:34 pm

The New York Times  today reports a July 18 death —

Skully*

Filed under: General — Tags: — m759 @ 5:44 am

Click image to enlarge.

* An instance of ambiguation, as opposed to dis   ambiguation.

Wednesday, August 3, 2022

From the “Shifting Phantasmagoria” of Joan Didion

Filed under: General — Tags: , — m759 @ 12:45 pm

Also on July 30 . . .

Scully Disambiguation

Filed under: General — Tags: , — m759 @ 5:41 am

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

Recent Reading List

Filed under: General — m759 @ 11:33 am

A Separatrix for Kipnis*

Filed under: General — Tags: , — m759 @ 12:00 am
 

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

Filed under: General — Tags: — m759 @ 3:26 pm

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

Filed under: General — Tags: , , — m759 @ 2:52 pm

"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

Filed under: General — Tags: , — m759 @ 5:12 am

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 —

IMAGE- 'Consider the 6-dimensional vector space over the 2-element field,' from 'The Universal Kummer Threefold'

Two such considerations —

IMAGE- 'American Hustle' and Art Cube

IMAGE- Cube for study of I Ching group actions, with Jackie Chan and Nicole Kidman 

Sunday, July 31, 2022

The Space Joker: A Shiva for Star Trek

Filed under: General — m759 @ 9:12 pm

"Show me all  the Natalie Portmans!"

Domingo for Ramos*

Filed under: General — m759 @ 10:31 am

The reference to Vallega-Neu in posts that last night were tagged
The Ereignis Sanction leads to . . .

Heidegger’s ‘Contributions to Philosophy.’ An Introduction
(Indiana University Press, 2003).

That book is about . . .

Martin Heidegger, Contributions to Philosophy (From Enowning) ,
trans. Parvis Emad and Kenneth Maly (Bloomington:
Indiana University Press, 1999). German edition:
Beiträge zur Philosophie (vom Ereignis) ,
ed. F.-W. von Herrmann, Gesamtausgabe, vol. 65
(Frankfurt a. M.: Klostermann, 1989).

* See today's news and a Log24 search for "Philippine."

For Camp Sontag*

Filed under: General — Tags: , — m759 @ 4:21 am
 

"We need the word 'metaphor' for the whole double unit, and to use it sometimes for one of the two components in separation from the other is as injudicious as that other trick by which we use 'the meaning' here sometimes for the work that the whole double unit does and sometimes for the other component–the tenor, as I am calling it–the underlying idea or principal subject which the vehicle or figure means. It is not surprising that the detailed analysis of metaphors, if we attempt it with such slippery terms as these, sometimes feels like extracting cube-roots in the head."​

— I. A. Richards, The Philosophy of Rhetoric .
Oxford University Press, 1936.

The above quotation was appropriated  from
https://www.thoughtco.com/tenor-metaphors-1692531 .

* See yesterday's post Summer Camp.

The Ereignis Sanction: Traumlogik Continued.

Filed under: General — m759 @ 3:36 am

The posts of February 1, 2, and 3, 2020, have now 
been tagged "The Ereignis Sanction."

Saturday, July 30, 2022

Literary Figures

Filed under: General — m759 @ 7:48 pm

"… the tesseract, identified with a figure too inclusive,
contradictory, and all-pervasive to be seen as a character,
connects multiple dimensions in a manner counter to
ordinary thought…."

— Catherine Flynn, "From Dowel to Tesseract" (2016)

As does the I Ching .

Modal Diamond Box

Filed under: General — m759 @ 10:54 am
 

A  mnemonic  from a course titled
Galois Connections and Modal Logics“—

“Traditionally, there are two modalities, namely,
possibility and necessity. The basic modal operators
are usually written box (square) for necessarily
and diamond (diamond) for possibly.
Then, for example, diamondP  can be read as
‘it is possibly the case that P .'”

See also Intensional Semantics , lecture notes
by Kai von Fintel and Irene Heim, MIT,
Spring 2007 edition—

“The diamond  symbol for possibility is due to C.I. Lewis, first introduced in Lewis & Langford (1932), but he made no use of a symbol for the dual combination ¬¬. The dual symbol  was later devised by F.B. Fitch and first appeared in print in 1946 in a paper by his doctoral student Barcan (1946). See footnote 425 of Hughes & Cresswell (1968). Another notation one finds is L for necessity and M for possibility, the latter from the German möglich  ‘possible.’”

Barcan, Ruth C.: 1946. “A Functional Calculus of First Order Based on Strict Implication.” Journal of Symbolic Logic, 11(1): 1–16. URL http://www.jstor.org/pss/2269159.

Hughes, G.E. & Cresswell, M.J.: 1968. An Introduction to Modal Logic. London: Methuen.

Lewis, Clarence Irving & Langford, Cooper Harold: 1932. Symbolic Logic. New York: Century.

For less rigorous remarks, search Log24 for Modal Diamond Box.

Summer Camp

Filed under: General — Tags: — m759 @ 1:07 am

Or: The Sontag Puzzlement

Wikipedia on "Heavenly Creatures"

"Juliet introduces Pauline to the idea of 'the Fourth World',
a Heaven without Christians where music and art are
celebrated. Juliet believes she will go there when she dies.
Certain actors and musicians have the status of saints in
this afterlife, such as singer Mario Lanza, with whom
both girls are obsessed."

   Related material — Sontag + Camp .

Friday, July 29, 2022

… From the Stadium

Filed under: General — Tags: — m759 @ 12:05 pm

(A sequel to the previous post — "To the Lighthouse")

From that same date . . .

Log24 on August 5, 2002 —

"To really know a subject you've got to learn a bit of its history."

— John Baez, August 4, 2002

"We both know what memories can bring;
They bring diamonds and rust."

—  Joan Baez, April 1975 

"Venn considered three discs R, S, and T as typical subsets of a set U. The intersections of these discs and their complements divide U into 8 nonoverlapping regions."

— History of Mathematics at St. Andrews

"Who would not be rapt by the thought of such marvels?"

— Saint Bonaventure on the Trinity

"Who would not be rapt?" . . . Cristin Milioti? —

'The Resort' S1E1 - The 2007 Razr

To the Lighthouse Continues.

Filed under: General — Tags: — m759 @ 9:18 am

Midrash on Woolf for Reiner —

Illustrated! —

Christmas in July: The Milioti Version

Filed under: General — Tags: — m759 @ 2:25 am

From a review of "The Resort" at another website

"The phrase 'The attempt to recall your past
is a waste of time' is repeated throughout the series."

A waste of time? …  Perhaps.  In "The Resort," Milioti is drawn
into an investigation of fictional events from December 2007.

A check of my own memories from that December
may or may not be a waste of time, but it yields a
page from a book that I fondly recall . . .

Thursday, July 28, 2022

Familiar Quotation

Filed under: General — m759 @ 12:31 pm

The artist Jennifer Bartlett reportedly died at 81 on July 25.

An image excerpted from Log24 posts that were tagged 
"Butterfly Song" on that date, with an added quotation from
a 1918 poem by Wallace Stevens —

The Gibson Gambit

Filed under: General — Tags: , — m759 @ 1:48 am
 

OPINION DYNAMICS ON DISCOURSE SHEAVES

By  JAKOB HANSEN AND ROBERT GHRIST

arXiv:2005.12798 (math)  [Submitted on 26 May 2020]

Funding: This work was funded by the Office of the Assistant Secretary of Defense Research & Engineering through a Vannevar Bush Faculty Fellowship, ONR N00014-16-1-2010.

HANSEN — Department of Mathematics, University of Pennsylvania, Philadelphia, PA (jhansen@math.upenn.edu)

GHRIST — Department of Mathematics and Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA (ghrist@math.upenn.edu)

See as well this  journal on the above date (26 May 2020) —

Wednesday, July 27, 2022

The Narratives Nutshell

Filed under: General — Tags: — m759 @ 3:07 pm

Related literary notes — On April 28 The New York Times
reported a death from the above date (Tuesday, April 26, 2022).
See a followup in the Times  today on "New York literary royalty."

Tuesday, July 26, 2022

Dog Day in the Multiverse of Madness

Filed under: General — m759 @ 10:09 pm

Meanwhile . . .

Where's Waldo  Meets  Where's Logan :

The Titanic Omen

Filed under: General — Tags: — m759 @ 12:12 am

"So we beat on, boats against the current…" — F. Scott Fitzgerald

Monday, July 25, 2022

The Oslo Prize

Filed under: General — Tags: — m759 @ 5:28 pm

The Quiet Man

Filed under: General — Tags: — m759 @ 4:44 pm

What’s your story?

Filed under: General — Tags: , , — m759 @ 4:02 pm

Plan 9 Continues:

Salinger's 'Nine Stories,' paperback with 3x3 array of titles on cover, adapted in a Jan. 2, 2009, Log24 post on Nabokov's 1948 'Signs and Symbols'

Homage to Patagonia

Filed under: General — m759 @ 3:25 pm

In memory of a political figure who reportedly died on Sunday —

Wm. F. Buckley as Archimedes, moving the world with a giant pen as lever. The pen's point is applied to southern South America.

Note the approximate target of the holy nib.

Narratives in the Multiverse of Madness

Filed under: General — Tags: , , — m759 @ 3:53 am

Modernism, Fiction and Mathematics
by Nina Engelhardt
(Edinburgh Critical Studies in Modernist Culture)

From a review by Johann A. Makowsky in
Notices of the American Mathematical Society,
November 2020, pp. 1589-1595 —

"Engelhardt’s goal in this study is to put the interplay
between fiction and mathematical conceptualizations
of the world into its historical context. She sees her work
as a beginning for further studies on the role of mathematics,
not only modern, in fiction in the wider field of literature and
science. It is fair to say that in her book Nina Engelhardt does
succeed in giving us an inspiring tour d’horizon of this interplay."

Another such tour —


 

On the title of Westworld Season 4 Episode 5, "Zhuangzi" —

A song for Teddy: "Across my dreams, with nets of wonder . . ."

See Zhuangzi also in the 2022 Black Rock CIty manifesto, "Waking Dreams" . . . 

Midnight Clear

Filed under: General — Tags: , — m759 @ 12:00 am

See the title in this journal.

Related material — A Log24 search for "in 1937."

Sunday, July 24, 2022

Pianist Dreams

Filed under: General — Tags: — m759 @ 6:30 pm

The Manifestation Manifesto

Filed under: General — Tags: , , — m759 @ 4:58 pm

Some may prefer their own, less collective, manifestations.

Magic Mikes Continues:

"I get no kick from champagne…." — Cole Porter

But . . .

See too another item with the BRC "Waking Dreams" date —

The editor/author in that  Oct. 14, 2021, post is Russ Kick.

Revolutionizing the Public Image

Filed under: General — Tags: , , , — m759 @ 2:51 pm

See as well . . .

Saturday, July 23, 2022

Myth Space

Filed under: General — Tags: , — m759 @ 5:40 pm

From the new URL mythspace.org, which forwards to . . .

http://m759.net/wordpress/?tag=mythspace

From Middlemarch  (1871-2), by George Eliot, Ch. III —

"Dorothea by this time had looked deep into the ungauged reservoir of Mr. Casaubon's mind, seeing reflected there in vague labyrinthine extension every quality she herself brought; had opened much of her own experience to him, and had understood from him the scope of his great work, also of attractively labyrinthine extent. For he had been as instructive as Milton's 'affable archangel;' and with something of the archangelic manner he told her how he had undertaken to show (what indeed had been attempted before, but not with that thoroughness, justice of comparison, and effectiveness of arrangement at which Mr. Casaubon aimed) that all the mythical systems or erratic mythical fragments in the world were corruptions of a tradition originally revealed. Having once mastered the true position and taken a firm footing there, the vast field of mythical constructions became intelligible, nay, luminous with the reflected light of correspondences. But to gather in this great harvest of truth was no light or speedy work."

See also the term correspondence  in this journal.

Date Note: An Oxford Puzzlement

Filed under: General — Tags: , , — m759 @ 9:15 am
 

Oxford University Press Blog

On Hammerstein and Sondheim

Geoffrey Block, Distinguished Professor of Music History at the University of Puget Sound, is the author of Enchanted Evenings: The Broadway Musical From Show Boat  to Sondheim and Lloyd Webber.  The book offers theater lovers an illuminating behind-the-scenes tour of some of America’s best loved, most admired, and most enduring musicals, as well as a riveting history.  In the excerpt below we learn about how Hammerstein mentored Sondheim.

Sondheim, a native New Yorker whose father could play harmonized show tunes by ear after hearing them once or twice, was the beneficiary of a precocious, suitably specialized musical education.  While still a teenager and shortly after the premiere of Carousel ,  Sondheim had the opportunity to be critiqued at length by the legendary Hammerstein, who, by a fortuitous coincidence that would be the envy of Show Boat’s second act, happened to be a neighbor and the father of Sondheim’s friend and contemporary, James Hammerstein. Sondheim’s unique apprenticeship with the first of his three great mentors, Oscar Hammerstein 2nd, one of the giants of the Broadway musical from the 1920s until long after his death in 1960, might serve as a Hegelian metaphor for Sondheim’s thesis, antithesis, and synthesis of modernism and traditionalism, high-brow and low-brow. 

Note the above Oxford University Press date. Also on that date —

Tuesday September 29, 2009

Filed under: General — m759 @ 3:00 AM 

From Harper’s Magazine
for the Feast of
St. Michael and All Angels:

Note on a poem by Rilke

"Is a puzzlement." — Oscar Hammerstein II

“Not games. Puzzles. Big difference. That’s a whole other matter.
All art — symphonies, architecture, novels — it’s all puzzles.
The fitting together of notes, the fitting together of words have
by their very nature a puzzle aspect. It’s the creation of form
out of chaos. And I believe in form.”

— Stephen Sondheim, in Stephen Schiff,
    “Deconstructing Sondheim,” 
    The New Yorker,  issue of March 8, 1993, p. 76

Friday, July 22, 2022

A Fork for Yogi

Filed under: General — Tags: , , — m759 @ 3:27 pm

"When you come to a fork in the road, take it." — Yogi Berra

The Story Game
Two players of interest . . .

Jack Carr:

Author Jack Carr with some of his reading list books.

David Morrell:

Author David Morrell.

Thursday, July 21, 2022

Siamese Combinatorial Remarks

Filed under: General — Tags: , , — m759 @ 6:14 am

Further combinatorial properties* of 24261120 may 
be investigated with the aid of a 9×9 square grid, and
perhaps (eventually) also with its triangular counterpart

.

* Cap sets, gerechte designs, etc.

Wednesday, July 20, 2022

Lampoon Elegy

Filed under: General — Tags: , — m759 @ 7:37 pm

"Sean Kelly, a wry master of literary and musical parodies
who helped infuse National Lampoon with the sharp-edged
and often crude humor it became known for, died on July 11
in Manhattan. He was 81."

— Richard Sandomir in the online New York Times  today

This  journal on July 11 —

Mark Zuckerberg at Harvard, May 25, 2017 —

"No one writes math formulas on glass. That’s not a thing."

Tuesday, July 19, 2022

For 7/20 Eve

Filed under: General — m759 @ 11:59 pm

Mosses from an Old Manse   (Hawthorne Recycled)

Click the above image to enlarge it.

This lockscreen suggests happy memories of J3 . . .

Two for the Undercroft

Filed under: General — Tags: — m759 @ 7:54 pm

From The New York Times  this afternoon —

Transylvania III, a 1973 tapestry made of horsehair and goat hair.

Backstory —

Record-Breaking Enrollment

Filed under: General — Tags: — m759 @ 1:50 pm

IMAGE- Richard Kiley in 'Blackboard Jungle,' with grids and broken records

Tommy Tucker’s Song

Filed under: General — Tags: — m759 @ 1:05 pm

Related material — "Put on your red dress, baby."

The Lost Message

Filed under: General — Tags: , — m759 @ 12:10 pm

“Somehow, a message had been lost on me. Groups act .
The elements of a group do not have to just sit there,
abstract and implacable; they can do  things, they can
‘produce changes.’ In particular, groups arise
naturally as the symmetries of a set with structure.”

— Thomas W. Tucker, review of Lyndon’s Groups and Geometry
in The American Mathematical Monthly , Vol. 94, No. 4
(April 1987), pp. 392-394.

"…groups are invariably best studied through their action on some structure…."

— R. T. Curtis, “Symmetric Generation of the Higman-Sims Group” in
Journal of Algebra  171 (1995), pp. 567-586.

Related material — Other posts now tagged Groups Act.

Monday, July 18, 2022

The Big Shuttlecock

Filed under: General — Tags: , , — m759 @ 1:31 pm

"Oldenburg … died on Monday at his home and studio in
the Soho section of Manhattan." —  Martha Schwendener, NYT 

“The Shape of Ideas”

Filed under: General — Tags: , , — m759 @ 3:01 am

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.

Sunday, July 17, 2022

Debriefing Ava

Filed under: General — Tags: , , , — m759 @ 8:24 pm

Her lips are pips
I call her hips
“Twirly” and “Whirly.” 

Song lyric

(Pips are the dots on dice. The above "choose us" image in the form of a
St. Bridget's cross is from Twirly Industries, a sportswear maker in Pakistan.)

See as well a Polish poet's meditation
quoted here on St. Bridget's Day, 2012:

In Memory of “the Gilded Lily”

Filed under: General — Tags: — m759 @ 1:46 am

For the Lily of the title, see The New York Times  online tonight
on the life of a socialite-philanthropist who reportedly died on
July 9, 2022.

Related art

 

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