Log24

Wednesday, March 15, 2023

Firewater Chat: Fear Himself

Filed under: General — m759 @ 5:29 pm

Images from posts tagged Fire Water


Scholium —

Death Proof*  continues.

Filed under: General — Tags: , , — m759 @ 4:06 pm

Full fathom five?

* See that phrase in this journal, as well as Griswold.

For Storyholics: Distilled Fire Water

Filed under: General — Tags: , , — m759 @ 1:43 pm

". . . The last of the river diamonds . . . .
bright alluvial diamonds,
burnished clean by mountain torrents,
green and blue and yellow and red.

In the darkness, he could feel them burning,
like fire and water of the universe, distilled."

At Play in the Fields of the Lord ,
by Peter Matthiessen (Random House, 1965)

Related Log24 posts are now tagged Fire Water.

See as well, from posts tagged Heartland Sutra

♫   "Red and Yellow, Blue and Green"

— "Prism Song," 1964

In Lieu of Ayahuasca

Filed under: General — Tags: , , — m759 @ 6:26 am

From this  journal on Dec. 3, 2011

http://www.log24.com/log/pix11C/111203-WeinbergerTheory.jpg

Some Weinberger-related art —

See as well the prose of Peter Matthiessen —

Tuesday, March 14, 2023

Pathmark Award

Filed under: General — Tags: , — m759 @ 10:49 am

"Some cartoon graveyards are better than others."

For Pi Day

Filed under: General — Tags: — m759 @ 8:02 am

Also on January 16, 2014 —

Disney Endings

Filed under: General — Tags: — m759 @ 7:01 am

The New York Times  reports a Monday,
March 13, 2023, death:

This  journal Monday —

Final image of the above "diamond theorem" penrose  search on Monday —

From March 2 —

Monday, March 13, 2023

Frontiers of Artificial Mathematics

Filed under: General — Tags: , , — m759 @ 11:57 am

Previous posts have shown ChatGPT answering the question
"What is the diamond theorem?" with references to Thurston
and, later, to Conway. Today it is Penrose's turn.

Related search results (click to enlarge) —

 

Sunday, March 12, 2023

The Phantom of Christmas Past

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

Colossus: The Forbes Project*

Filed under: General — Tags: — m759 @ 4:14 pm

Forbes  magazine on April 1, 2022

Log24  on April 1, 2022

* Title suggested by "Colossus: The Forbin Project" (1970)

Las Mañanitas de Nuestro Jardin

Filed under: General — m759 @ 9:19 am

Sunday’s Child

Filed under: General — Tags: — m759 @ 8:00 am

Related fiction —

'Forty-two' in 'The Padre'

The March of the Slow Children

Filed under: General — Tags: — m759 @ 7:02 am

Related material — 7/02, 2021.

Saturday, March 11, 2023

Law Play

Filed under: General — Tags: , , — m759 @ 8:43 am
 

   Nietzsche, 'law in becoming' and 'play in necessity'   Nietzsche on Heraclitus— 'play in necessity' and 'law in becoming'— illustrated.

Simplified version —

'Law Play' by Cullinane, 11 March 2023

Friday, March 10, 2023

New bio summary site from Squarespace:

Filed under: General — m759 @ 12:08 pm

https://bio.site/cullinane .

Hofstadter on Geometry

Filed under: General — Tags: , — m759 @ 10:54 am

See also http://m759.net/wordpress/?s=Rota+Heidegger+As .

Thursday, March 9, 2023

In Memoriam

Filed under: General — Tags: — m759 @ 11:10 pm

Art Theory

Filed under: General — Tags: — m759 @ 10:41 pm

Image from Kate Beckinsale's 2021 film "Jolt" —

Interpreting the "back 10 seconds" symbol as "back 10 years" . . .

Colors For Kristen: Red Meets Moody Blue

Filed under: General — Tags: — m759 @ 10:36 am

The RGB code of the "9" in the 6-and-9 symbol below
on the cover of Susan Sontag's Against Interpretation
is said to be (134,128,198) — moody blue.

Meditation on a URL:
Putting the “de” in
https://www.hu-berlin.de/

Filed under: General — Tags: — m759 @ 9:28 am

From other posts tagged Tetrahedron vs. Square —

A Scholium for Chomsky

The ABC of words —

A nutshell —

Naming Names

Filed under: General — Tags: — m759 @ 9:05 am

The name "Kilgore Trout" in the previous post suggests a passage in
Wikipedia on authors — two real, one imaginary

"The 'Kilgore Trout' name was a transparent reference to
the older writer (substituting 'Kilgore' for 'Theodore' and
'Trout' for 'Sturgeon'), but since the characterization was
less than flattering (both Sturgeon and Trout were financially
unsuccessful and seemingly slipping into obscurity),
Vonnegut did not publicly state the connection, nor did
Sturgeon encourage the comparison."

See also, in this  journal, Theodore Sturgeon's "The Dreaming Jewels."

Sylvia Kristel at the Black Door

Filed under: General — m759 @ 7:56 am

In memory of film auteur  Bert I. Gordon, who reportedly
died at 100 yesterday —

"Make me young again." — Attributed to Kilgore Trout

Mathematical Induction*

Filed under: General — m759 @ 7:01 am

The previous post suggests a search in this journal for Netanyahu.
That search suggests a Wikipedia article on n+1  magazine.

* See Wikipedia for a definition.

Death Takes a Holi Day

Filed under: General — m759 @ 6:03 am

On a reported Wednesday, March 8, death —

Wednesday, March 8, 2023

Releasing the Crimson Kraken

Filed under: General — m759 @ 10:37 am

From Chomsky's remarks in The New York Times  today

"It is at once comic and tragic, as Borges might have noted,
that so much money and attention should be concentrated
on so little a thing — something so trivial when contrasted
with the human mind, which by dint of language, in the
words of Wilhelm von Humboldt, can make 'infinite use of
finite means,' creating ideas and theories with universal reach."

A search in this  journal for Humboldt University  yields . . .

"Cum grano salis" — Boris Karloff in "The Black Cat."

Opening the Local/Global Seal

Filed under: General — Tags: — m759 @ 9:09 am

Interplay of local symmetry with global symmetry

The above figures are from a 2016 post
on local and global symmetries.
 

“… and I want it painted black”

Filed under: General — Tags: — m759 @ 8:28 am

The Adapter

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

See Helen Mirren with a plastic 45-rpm record adapter.

Related Log24 posts — Galois Seals.

Tuesday, March 7, 2023

The Seal Joke

Filed under: General — Tags: , , — m759 @ 11:45 pm

Note the yin-yang favicon.

Monday, March 6, 2023

Date with a Dark Lady

Filed under: General — Tags: , , , , — m759 @ 11:02 pm

The name "Vrinda Madan" from the above book cover metadata
yields a webpage that may or may not have the same  Madan as
an author — " Howie Michels' Epic Dreamscapes."

The date  of that webpage — Sept. 15, 2022 — seems of particular
interest. See as well this  journal on that date for some other posts
that are also now tagged The Cavalier Date.

Wednesday may or may not want to play "Paint it Black" to honor
the cover of the above newly published book.

(Michels is reportedly married to Francine Prose,
 author of Bigfoot Dreams and Mister Monkey .)

Exploring Square Space

Filed under: General — m759 @ 12:02 pm

Introducing the new Squarespace Asset Library

String Theory

Filed under: General — m759 @ 11:38 am

The Cut Mudra

Filed under: General — m759 @ 4:00 am

The image “http://www.log24.com/log/pix06/060301-Moore.jpg” cannot be displayed, because it contains errors.

Author Susanna Moore,
photo by Paresh Gandhi

Points  as Cuts —

Points as Cuts: Some Small Finite Spaces

Sunday, March 5, 2023

Annals of Artificial Mathematics

Filed under: General — Tags: , , — m759 @ 9:11 pm

The response of ChatGPT to a question about my work
continues to evolve.  It now credits Conway, not Thurston,*
for the diamond theorem.

The paragraph beginning "The theorem states" appears** to be based
on the following 24 patterns — which number only 8, if rotated or
reflected patterns are considered equivalent.

* For Thurston in an earlier ChatGPT response to the same question,
see a Log24 post of Feb. 25.

** The illustration above is based on the divison of a square into
four smaller subsquares.  If the square is rotated by 45 degrees,
it becomes a diamond  that can be, in the language of ChatGPT,
divided into "four smaller diamonds ."

Geometry and Death Continued* —
The Case of Richard Brautigan

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

See The Maxwell Enticement.

* Continued from the previous post.

Saturday, March 4, 2023

Geometry and Death: The Pacific Version

Filed under: General — m759 @ 5:38 am

An actor's obituary in The New York Times  today suggests
a review of the phrase "geometry and death" in this  journal.
In that review, the phrase, by J. G. Ballard in a 2006 article
refers to German fortifications in World War II.  Ballard had
earlier used the same phrase in connection with French
nuclear-test structures in the Pacific —

— From Rushing to Paradise  by J. G. Ballard, 1994.

Those interested in the religious  meaning of the phrase "Saint-Esprit"
may consult this  journal on the date of Ballard's death.

Thursday, March 2, 2023

Bullshit Studies

Filed under: General — Tags: , — m759 @ 11:01 pm

The above phrase "interpellative assemblages" suggests . . .

See also this  journal on the above Won Choi date —

For a Tim Burton Fan

Filed under: General — Tags: , — m759 @ 12:22 pm

Artist: Jose Ortiz

Wednesday, March 1, 2023

Title Cards

Filed under: General — Tags: , , — m759 @ 9:23 pm

"Say the secret word and divide a hundred dollars."

Groucho duck with 'You Bet Your Life' title card

The Key with Three Sharps

Filed under: General — Tags: — m759 @ 9:01 pm

See Street Theater.

Geometry for Jews . . .

Filed under: General — m759 @ 10:18 am

Continues.

The Spice of Life: Quantumania 2001

Filed under: General — m759 @ 9:58 am

A story from Variety  on January 9, 2001 —

Reality as a Third-Rate Joke

Filed under: General — Tags: , — m759 @ 1:00 am

For Sean Carroll, author of . . .

See also Carroll in this  journal.

Related humor for Doctor Strange

Windows Lockscreen at 12:43 AM ET tonight —

https://stock.adobe.com/search?k=mount+everest&asset_id=532177317.

I prefer the non-humor of Cold Mountain .

Tuesday, February 28, 2023

Once Upon a Time: Camped Out

Filed under: General — m759 @ 10:43 pm

For His Nibs Andrew Cusack*

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

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

* See his post published at 10:00 pm on Monday 27 February 2023.
His categories and tags: Categories — Argentina Heraldry History Monarchy 
Tags — .

The Bing Swing Thing

Filed under: General — m759 @ 1:29 am

"Oh, would you like to swing on a star?" — Song lyric

"Depends on the star, baby." — Sinatra.

Robot Love (“Welcome to the new Bing”)

Filed under: General — m759 @ 1:07 am

"What is the 16 puzzle?" . . . Good question.

Body/Antibody: The Robot Test

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

"You show me your control panel and I'll show you mine."

See also this journal on what, according to IMDb, was the
release date of the film "Body/Antibody" — June 7, 2007.

Monday, February 27, 2023

The Producer

Filed under: General — Tags: — m759 @ 2:00 pm

Boston Globe  AP story yesterday — 

LOS ANGELES — Walter Mirisch, the astute and Oscar-winning
film producer who oversaw such classics as “Some Like It Hot,”
“West Side Story,” and “In the Heat of the Night,” died on Friday
of natural causes in Los Angeles, the Academy of Motion Picture
Arts and Sciences said Saturday. He was 101.

Therapy Dog

Filed under: General — m759 @ 1:18 pm

Good question. See Spring Fire.

For Gen Z: The Mark of Zorro

Filed under: General — m759 @ 12:50 pm

Galois space of six dimensions represented in Euclidean spaces of three and of two dimensions

Tab Art

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

Scholium:

A Capsule Named Desire

Filed under: General — Tags: — m759 @ 3:00 am

The Epstein Scholia: “Back in the Day”

Filed under: General — Tags: — m759 @ 1:00 am

Scholia: threnody, oxymoron.

And then there is carnal  knowledge.

Sunday, February 26, 2023

Memorial Sermon

Filed under: General — m759 @ 11:00 am

And then there is the Richard  Zanuck Award . . .

TOE

Filed under: General — Tags: — m759 @ 2:24 am


 

Related images from The Crimson Abyss —

1984 —

IMAGE- 'Affine Groups on Small Binary Spaces,' illustration

2010 —

Logo design for Stack Exchange Math by Jin Yang

Saturday, February 25, 2023

The Replacement Suggestion

Filed under: General — Tags: — m759 @ 3:50 pm

From last night's 'Gutfeld,' a remark by Guy Benson

See also the previous post.

The Al Goldstein Variations

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

From other posts now tagged "W. L. Edge" —

The Diamond Theorem according to ChatGPT

Filed under: General — Tags: , , — m759 @ 2:38 am

ChatGPT on the diamond theorem, Feb. 25, 2023.

The part about tilings, group actions, and the diamond-shaped
pattern is more or less OK.  The parts about Thurston and 
applications are utterly false. 

Compare and contrast . . .

Friday, February 24, 2023

Dementia Revisited

Filed under: General — m759 @ 10:10 pm

"… based on true events, in much the same way that
'Pinocchio' is based on string theory. "

Film review by Anthony Lane today

Sein Feld

Filed under: General — Tags: — m759 @ 8:40 pm

Mood Indigo

Filed under: General — Tags: — m759 @ 10:27 am

Cinemablend on the 'butt necklace' of Euphoria's Sweeney

And then there is the beaver doily . . .

Thursday, February 23, 2023

Stewart Berlinale: Requiem for a Lyricist

Filed under: General — Tags: — m759 @ 3:34 pm

"Headin' into twilight . . ."

Related lyrics —

"Spread your wings and let me come inside."
Rod Stewart, October 1976

Kristen, Rod . . . Rod, Kristen.

“Where Whirled and Well”

Filed under: General — m759 @ 1:32 pm

"Where whirled and well"

— Conrad Aiken, Great Circle

And the light shone in darkness and
Against the Word the unstilled world still whirled
About the centre of the silent Word.

— T. S. Eliot, "Ash Wednesday"
 

About the Centre:

IMAGE- The eight Galois quaternions

See also Dorm Room.

Wednesday, February 22, 2023

The Showcase

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

Two Shades of Grey:

Some will prefer . . .

From https://math.stackexchange.com/questions/101530/showing-a-4-is-not-simple

Update at 9:16 PM ET Feb. 22, 2023 — A Rising Star  —

 

Death* on Presidents’ Day

Filed under: General — Tags: , — m759 @ 6:23 pm

Cary Grant in 'North by Northwest'

* See this evening's online New York Times  obituaries.

Plan 9 from Warren Public Library*

Filed under: General — Tags: — m759 @ 6:45 am

Art based on a cover of Salinger's 'Nine Stories'

The above image is from "Nine Stories" in this journal.

* See "Turning Nine."

Tuesday, February 21, 2023

For Harlan Kane: The Zenodo Files

Filed under: General — m759 @ 10:55 pm

Google cullinane zenodo  to  . . .

View "The Square Model"  or download "Notes on finite geometry." 

Annals of Media: Carr Keys

Filed under: General — Tags: — m759 @ 1:28 pm

 

For Carr as dominant and
Boston University students
as submissive, see . . .

 .

Carr's BU syllabus is dated Aug. 4, 2014.
For some other content from that date, see . . .

The Omega Portal.

Sunday, February 19, 2023

Requiem for a Clown*

Filed under: General — Tags: , — m759 @ 4:48 pm

* See his media tributes from today.

The Great 73

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

Hoarding Space

Filed under: General — Tags: , — m759 @ 1:53 pm

See also the star of the previous post in . . .

Quantum Tesseract Theorem .

Saturday, February 18, 2023

The Seeming . . .

Filed under: General — Tags: , — m759 @ 9:48 pm

Continues.

Normal . . . for Berlin

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

Probing the Wormhole

Filed under: General — Tags: — m759 @ 7:43 pm

In memory of illustrator Istvan Banyai,
who reportedly died on Dec. 15, 2022 . . .

https://www.nytimes.com/2023/02/18/
arts/istvan-banyai-dead.html
 —

Berlinale Revisited

Filed under: General — Tags: — m759 @ 10:25 am

"US actor Stewart, who previously depicted Princess Diana
in Spencer, is president of the international jury at the 73rd
Berlin International Film Festival, where filming will begin for
the project." — Mona Tabbara at screendaily.com, 10 Feb. 2023

From an earlier Berlinale . . .

The Gatekeeper

Filed under: General — Tags: , — m759 @ 9:47 am

Friday, February 17, 2023

Old PUP, New Tricks

Filed under: General — Tags: , — m759 @ 5:50 pm

The Wormhole Ride

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

This post was suggested by Peter Woit's weblog today and by . . .

Update of 4:48 PM ET on Friday, Feb. 17, 2023 —

Other Norman-Yao-related reading —

An Urn for Harvard

Filed under: General — Tags: , , , — m759 @ 4:43 am

In memory of a Harvard Corporation Senior Fellow
who reportedly died at 86 on December 20, 2022 —

Thursday, February 16, 2023

Reaching the Stillness

Filed under: General — Tags: , , — m759 @ 9:13 pm

See http://m759.net/wordpress/?s="Mac+Lane"+Boolean.

An image from that search —

The image “http://www.log24.com/theory/images/PeirceBox.bmp” cannot be displayed, because it contains errors. .

A related image 
for T. S. Eliot:

Wednesday, February 15, 2023

Categorization Theory

Filed under: General — Tags: — m759 @ 5:55 pm

"And then there’s the ultimate unknown known:
the 'enlightenment' (satori, kensho) of Zen practice.
If my sense of it from accounts I have read is accurate,
it involves seeing the world and realizing that you always
knew its true nature, but you just didn’t know you knew
because you were too busy putting it into boxes and
matrices and categories and words. Which reminds us
again that while logical deductions and categorizations
can lead us to discoveries, they can also lead us away
from them."

James Harbeck on Groundhog Day, 2023

This post was suggested by a Log24 image from All Saints' Day, 2018

Related verbiage: Unthought Known.

Mathematics and Narrative . . .

Filed under: General — Tags: — m759 @ 3:47 pm

Continues.
 

Mathematics:

From Log24 "Pyramid Game" posts —

The letter labels, but not the tetrahedron, are from Whitehead’s
The Axioms of Projective Geometry  (Cambridge U. Press, 1906), page 13.
 

Narrative:

“Buy on Proof”

Filed under: General — m759 @ 5:25 am

The above title is a commercial slogan from Westinghouse Studio One —

in particular, from its "June Moon" broadcast on June 22, 1949.

The Police, 'Synchronicity' album, detail of cover

The date August 4, 2011, from the previous post suggests a review . . .

Tuesday, February 14, 2023

The Mobius Chapel

Filed under: General — m759 @ 4:16 pm

From a Swedish singer's IG on Feb. 14, 2023 —

Related woo-woo literature —

See also . . .

Fiat Lux … Cut!

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

Also from August 19 (2022) —

Monday, February 13, 2023

At Play in the Fields

Filed under: General — Tags: , — m759 @ 1:22 pm

Cult Space

Filed under: General — Tags: — m759 @ 9:44 am

"Nine is a very powerful Nordic number." — Katherine Neville

The Adelson Shadow

Filed under: General — Tags: — m759 @ 12:45 am

Related search results —

From a different Adelson, in a Log24 post from 2003

Related geometric entertainment —

Saturday, February 11, 2023

Zwei Seelen

Filed under: General — Tags: — m759 @ 7:39 pm

"Zwei Seelen wohnen, ach! in meiner Brust,
die eine will sich von der andern trennen:
Die eine hält in derber Liebeslust
sich an die Welt mit klammernden Organen;
die andre hebt gewaltsam sich vom Dust
zu den Gefilden hoher Ahnen."

— Faust 1, Vers 1112 – 1117; Vor dem Tor. (Faust),
according to www.gutzitiert.de.

A version in English "In me there are two souls."

This post was suggested by  a New York Times  obituary today.

Equality Manifestos: Thomas Jefferson vs. Barry Mazur et al.

Filed under: General — Tags: — m759 @ 3:59 pm

"These are not the examples most of us want to follow."

— Julian Hanna in The Atlantic , June 24, 2014.

Annals of Entertainment

Filed under: General — Tags: — m759 @ 12:13 am

The New York Times  on a set designer who
reportedly died at 83 on Monday (Feb. 6, 2023) —

"Adrian Hall, the founding artistic director,
brought him in as resident designer.
(Mr. Hall died on Feb. 4 in Van, Texas.)"

Hall was the founding artistic director of
Trinity Repertory Company, Providence, R.I.

Not-so-holy writ ….

Panthers — "Dimensions," Log24, Feb. 5, 2023.
Beast Belly — Tonight's previous post, "Gutter Mathematics."

Friday, February 10, 2023

Introduction to Gutter Mathematics

Filed under: General — Tags: , , — m759 @ 10:19 pm

From the Feb. 7 post "The Graduate School of Design" —

Related material —

Illustrations — From The previous post . . .

The 24 interstices of a 4x4 array

From Google —

Interstices and Symmetry

Filed under: General — Tags: , — m759 @ 10:02 am

Call a 4×4 array labeled with 4 copies each
of 4 different symbols a foursquare.

The symmetries of foursquares are governed
by the symmetries of their 24 interstices

The 24 interstices of a 4x4 array

(Cullinane, Diamond Theory, 1976.)

From Log24 posts tagged Mathieu Cube

A similar exercise might involve the above 24 interstices of a 4×4 array.

Thursday, February 9, 2023

Claves Regni:  The Key with One Flat

Filed under: General — Tags: , — m759 @ 11:19 am

Wednesday, February 8, 2023

Local-Global lnduced Actions

Filed under: General — Tags: , , , — m759 @ 7:08 pm

See "Two Approaches to Local-Global Symmetry"
(this journal, Jan. 19, 2023), which discusses 
local group actions on plane and solid graphic
patterns 
that induce global group actions.

See also local and global group actions of a different sort in
the July 11, 1986, note "Inner and Outer Group Actions."

This  post was suggested by some remarks of Barry Mazur,
quoted in the previous post, on " Wittgenstein's 'language game,' "
Grothendieck, global views, local views and "locales."

Further reading on "locales" — Wikipedia, Pointless topology.

The word  "locale" in mathematics was apparently* introduced by Isbell —

ISBELL, JOHN R. “ATOMLESS PARTS OF SPACES.” 
Mathematica Scandinavica, vol. 31, no. 1, 1972, pp. 5–32. 
JSTOR, http://www.jstor.org/stable/24490585. 

* According to page 841 of . . .

Johnstone, P. (2001). "Elements of the History of Locale Theory."
Pp. 835–851 in: Aull, C.E., Lowen, R. (eds) Handbook of the
History of General Topology, 
Vol 3. Springer, Dordrecht.

Text and Context: The Epiphany Shibboleth

Filed under: General — Tags: , — m759 @ 4:05 pm

The epigraph to Chapter 2 of Category Theory in Context  by Emily Riehl  —

[Maz16] Barry Mazur. Thinking about Grothendieck.
Notices of the AMS, 63(4):404–405, 2016.

The above epigraph in context, in a paper dated
January 6, 2016 (Epiphany) —

Also on Epiphany 2016 —

Wednesday, January 6, 2016

Galois.io

Filed under: General,Geometry — m759 @ 8:35 AM 

The title is a new URL.

Midrash on the URL suffix —

" 'I/O' is a computer term of very long standing
that means 'input/output,' i.e. the means by which
a computer communicates with the outside world.
In a domain name, it's a shibboleth that implies
that the intended audience for a site is other
programmers."

— Phil Darnowsky on Dec. 18, 2014

Remarks for a wider audience —

See some Log24 posts related to Dec. 18, 2014.

Tuesday, February 7, 2023

The Graduate School of Design

Filed under: General — Tags: , , — m759 @ 1:03 pm

The above cubic equation may also be written as

x3 – x – 1 = 0.

The equation occurred in my own work in 1985:

An architects' equation appears also in Galois geometry.

An architects' equation that appears also in Galois geometry.

For further details on the plastic number, see an article by
Siobhan Roberts on John Baez  in  The New York Times —

Interstices

Filed under: General — Tags: , , , — m759 @ 10:34 am

Perhaps Crossan should have consulted Galois, not Piaget . . .

From Hermann Weyl's 1952 classic Symmetry —

"Galois' ideas, which for several decades remained
a book with seven seals  but later exerted a more
and more profound influence upon the whole
development of mathematics, are contained in
a farewell letter written to a friend on the eve of
his death, which he met in a silly duel at the age of
twenty-one. This letter, if judged by the novelty and
profundity of ideas it contains, is perhaps the most
substantial piece of writing in the whole literature
of mankind."

Monday, February 6, 2023

For February 6

Filed under: General — Tags: , — m759 @ 11:48 pm

Epigraph to The Dark Interval ,  by John Dominic Crossan —

“I am the pause between two notes that fall
into a real accordance scarce at all:
for Death’s note tends to dominate
Both, though, are reconciled in the dark interval,
tremblingly.
                And the song remains immaculate.”

—Rilke, The Book of Hours , I 

"What we do may be small, but it has
a certain character of permanence."

— G. H. Hardy in A Mathematician's Apology

Clown

Filed under: General — Tags: , , — m759 @ 2:02 pm

For Bill Irwin —

<meta property="article:published_time"
content="2023-02-06T11:00:00.000Z"/>

The Source —

view-source:https://www.newyorker.com/magazine/2023/02/13/
finding-laughs-amid-the-gray-in-becketts-endgame

See as well the previous post and . . .

Interality Studies

Filed under: General — Tags: , — m759 @ 12:26 pm
 

You, Xi-lin; Zhang, Peter. "Interality in Heidegger." 
The Free Library , April 1, 2015.  
. . . .

The term "interology" is meant as an interventional alternative to traditional Western ontology. The idea is to help shift people's attention and preoccupation from subjects, objects, and entities to the interzones, intervals, voids, constitutive grounds, relational fields, interpellative assemblages, rhizomes, and nothingness that lie between, outside, or beyond the so-called subjects, objects, and entities; from being to nothing, interbeing, and becoming; from self-identicalness to relationality, chance encounters, and new possibilities of life; from "to be" to "and … and … and …" (to borrow Deleuze's language); from the actual to the virtual; and so on. As such, the term wills nothing short of a paradigm shift. Unlike other "logoi," which have their "objects of study," interology studies interality, which is a non-object, a no-thing that in-forms and constitutes the objects and things studied by other logoi.
. . . .

Some remarks from this  journal on April 1, 2015 —

Manifest O

Tags:  

— m759 @ 4:44 AM April 1, 2015

The title was suggested by
http://benmarcus.com/smallwork/manifesto/.

The "O" of the title stands for the octahedral  group.

See the following, from http://finitegeometry.org/sc/map.html —

83-06-21 An invariance of symmetry The diamond theorem on a 4x4x4 cube, and a sketch of the proof.
83-10-01 Portrait of O  A table of the octahedral group O using the 24 patterns from the 2×2 case of the diamond theorem.
83-10-16 Study of O  A different way of looking at the octahedral group, using cubes that illustrate the 2x2x2 case of the diamond theorem.
84-09-15 Diamonds and whirls Block designs of a different sort — graphic figures on cubes. See also the University of Exeter page on the octahedral group O.

The above site, finitegeometry.org/sc, illustrates how the symmetry
of various visual patterns is explained by what Zhang calls "interality."

Sunday, February 5, 2023

Negative Space: Examples

Filed under: General — Tags: , , — m759 @ 11:22 pm

Cullinane, 1977 —

Patterns in the space
between   subsquares —

Designer unknown, 2023 —

Figures in the space
between  fingers —

NAM-NAM for Riri

Filed under: General — Tags: , — m759 @ 3:09 pm

A different NAM that some will prefer —

Experiential Events in this  journal
on the above DC program date —

Dimensions

Filed under: General — Tags: , , , — m759 @ 2:01 am

A Logo for Riri

The above Nick Romano passage is from Knock on Any Door,
a 1947 novel by Willard Motley.  Another Motley novel about
Chicago, from 1958 . . .

Let No Man Write My Epitaph

Page 41

The city was a blue-black panther that slunk along beside them. The tall, skyscraper night-grass hemmed them in. The thousand neon animal eyes watched their going.

Page 67

The blue-black panther of a city watched their going. The un- blinking neon animal eyes watched their going. Thousands of neon signs lit their way. In an alley behind West Madison Street half an

Page 68

hour before, a bum, drunk, had frozen to death lying in the back doorway of a pawnshop. The blue-black panther crouched over him.

Page 70

First the creak of ice as an automobile goes by. Then the frown into your room of the red brick building across the street, its windows frosted over like cold, unfriendly eyes. Then a bum stumbling along trying to keep warm. Now a drunk, unevenly. And the wind like the howling voice of the blue-black panther, hunting, finding. And the clanging of impersonal streetcars. And each bar of neon, cold, dead. No message. The clown takes his bow and it is Christmas Day.

Page 79

The blue-black panther followed them, sniffing at their heels.

Page 106

Above them the blue-black panther lay on the roof of a tenement house, its feline chin on the cornice, its yellow-green eyes staring down onto the black night street of Maxwell. Its tail, wagging slowly back and forth, was like a lasso, a noose, sending little shivers of pebbles rolling loosely across the roof.

Page 154

Then he went down to the Shillelagh Club. Through the pane, in the crowded, noisy place, he saw her. She was sitting at a table near the back, alone. Her cigarette had fallen from her lips and rolled away from her on the table top. It had burned itself to a long gray ash. Her head hung loosely on her neck as if she was asleep. A half-empty glass of beer was in front of her. Please, Mother, please come out, he prayed to her. And he stood next door to the tavern, waiting, his small shoulders drawn in, his head down in shame. And often he walked to the window and stood on tiptoe. She was still there. In the same position. He waited. He would be late to school tomorrow. He waited, keeping the long vigil. He waited. Twelve years old. And the thousand neon-animal eyes stared at him savagely. He waited. The blue-black panther lashed out its tail, flicking its furry tip against his ankles. He waited.

Page 250

Alongside the blue-black patrol wagon the blue-black panther walks majestically.

Page 262

Outside the door the blue-black panther rubs its back like a house cat.

Page 409

Nick held the cigarette listlessly. The smoke curled up his wrist and arm like a snake. The blue-black panther licked his hand.

Saturday, February 4, 2023

More Literary Transformations

Filed under: General — Tags: — m759 @ 2:58 pm

For remarks more closely related to United States  history,
see a Masonic  view  of the Phoenix.

Signage for Transformers

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

MOM WOW

("Miniaturist of Modernism" "Windows on World")

CHAT 'N' CHILL M 'N' O

(Women's Center  Central  Intelligence)

This post was inspired by eBay —

'Body/Antibody' at eBay

The Reviewer Reviewed

Filed under: General — m759 @ 12:38 am

On a concert at Carnegie Hall 
on Saturday, Jan. 28, 2023 —
"The ravished NYT reviewer offers
some nice writing …."

Related Log24 posts —
"Just 17," Dec. 17, 2020, and
"Just 17," June 17, 2022.

Friday, February 3, 2023

Putting the “n” back in Mensa

Filed under: General — Tags: , — m759 @ 4:20 pm

"The child is father of the man." — Wordsworth

"Suck any sense from that who can." — Hopkins

Illustration —

Sucking the sense from Albright.

Shadow Work

Filed under: General — Tags: — m759 @ 3:39 pm

Financial Times, January 30, 2023

Related material —

Expansive Sensibilities

Filed under: General — Tags: — m759 @ 3:12 pm

See as well Expanding the Spielraum.

Rhyme Time

Filed under: General — Tags: , — m759 @ 2:16 pm

From Wednesday, St. Bridget's Day, 2023

Galois Additions of Space Partitions

Poetic meditation from The New Yorker  today

"If the tendency of rhyme, like that of desire,
is to pull distant things together
and force their boundaries to blur,
then the countervailing force in this book,
the one that makes it go, is the impulse
toward narrative, toward making sense of
the passage of time."

Nevermore Academy Meets the London School

Filed under: General — Tags: , — m759 @ 1:03 am

"Intended for a white European male audience, the sensual
reclining nude belongs to a long artistic tradition."

— The Courtauld Gallery on Gaugin's "Nevermore" (1897)

"After decades abroad, Mr Doig has returned again to London.
On February 10th he opens a new exhibition at the Courtauld Gallery ….
The Courtauld is also the home of Britain’s finest Impressionist collection,
and some of the paintings in the new show recall and respond to those works.
A depiction of an alpinist by Mr Doig speaks to Paul Cézanne’s view of
Lake Annecy, a tropical bather . . . gestures at Paul Gauguin’s nude
'Nevermore'."

— https://www.economist.com/culture/2023/02/02/
look-closely-at-peter-doigs-paintings-then-look-again

The London School of Economics has a more direct approach to art —

Thursday, February 2, 2023

BFFR

Filed under: General — m759 @ 11:59 pm

The Menand Lede

Filed under: General — Tags: — m759 @ 4:29 pm

"When the Washington Post  unveiled the slogan
'Democracy Dies in Darkness,' on February 17, 2017,
people in the news business made fun of it.
'Sounds like the next Batman movie,' the New York Times’ 
executive editor, Dean Baquet, said."

— Louis Menand in The New Yorker ,
"When Americans Lost Faith in the News," Jan. 30, 2023.

See also Darkness  in this  journal.

Not so dark:

A Log24 post from February 17, 2017
regarding that year's Groundhog Day — The dies natalis
(in the Catholic sense) of St. Bertram Kostant.

“Solid Objects Precipitating”

Filed under: General — m759 @ 2:52 pm

Daniel Albright, 'Representation and the Imagination' (1981), summary

See also Doktor Faustus  (Mann) and Symmetry  (Weyl).

From Albright's book, see passages on Nabokov.

“Here I Come Again”

Filed under: General — Tags: — m759 @ 1:09 am

From tonight's previous post

"here I come again . . . the square root of minus one,
having terminated my humanities" — 

Samuel Beckett, Stories and Texts for Nothing
(New York: Grove, 1967), 128.

From The French Mathematician
by Tom Petsinis (Nov. 30, 1998) —

0

I had foreseen it all in precise detail.
One step led inevitably to the next,
like the proof of a shining theorem,
down to the conclusive shot that still echoes
through time and space. 
Facedown in the damp pine needles,
I embraced that fatal sphere
with my whole body. Dreams, memories,
even the mathematics I had cherished
and set down in my last will and testament–
all receded. I am reduced to
a singular point; in an instant
I am transformed to .

i = an imaginary being

Here, on this complex space,
i  am no longer the impetuous youth
who wanted to change the world
first with a formula and then with a flame.
Having learned the meaning of infinite patience,
i  now rise to the text whenever anyone reads 
about Evariste Galois, preferring to remain 
just below the surface, 
like a goldfish nibbling the fringe of a floating leaf.
Ink is more mythical than blood
(unless some ancient poet slit his 
vein and wrote an epic in red):
The text is a two-way mirror 
that allows me to look into
the life and times of the reader. 
Who knows, someday i  may rise
to a text that will compel me 
to push through to the other side.
Do you want proof that i  exist? Where am ?
Beneath every word, behind each letter, 
on the side of a period that will never see the light.

Related reading . . .

See also "William Lawvere, Category Theory, Hegel, Mao, and Code."

( https://www.reddit.com/r/socialistprogrammers/comments/m1oe88/
william_lawvere_category_theory_hegel_mao_and_code/ )

Also relating category theory and computation —
the interests of Lawvere and those of Davis — is
an article at something called The Topos Institute (topos.site) —

"Computation and Category Theory," by Joshua Meyers,
Wednesday, 10 Aug., 2022.

Meyers on Davis —

Wednesday, February 1, 2023

The Sham Man

Filed under: General — Tags: , , — m759 @ 11:11 pm

Albright on Beckett and Wordsworth

For Sidney Powell: The Crimson Kraken

Filed under: General — Tags: , — m759 @ 3:29 pm

Variations in Memory of a Designer

Last updated at 22:46 PM ET on 1 February 2023.

Galois Additions of Space Partitions

Click for a designer's obituary.

Paraphrase for a road-sign collector:

See as well Today's New York Times  obituary
of the Harvard Business School Publishing 
Director of Intellectual Property.

« Newer PostsOlder Posts »

Powered by WordPress