From The Man Who Knew Infinity to The Man Who Knew Zero.
Related mathematics: The Diamond Theorem Correlation, which
results from interchanging infinity and zero in the figure below.
"Read something that means something."
— New Yorker ad
.
Click image for
related posts.
Background — Relativity Problem in Log24.
* The name "Blue Monkey" is from a 2003 film. See also Hanuman
in this journal. The image described by Vertex AI is from IMDb …
The New York Times today reports a Monday, April 8, 2024, death —
For my own arrival at CERN, see Zenodo in this journal.
* A title suggested by the work of Lawrence Durrell and by
geometric quartets in figurate geometry.
"To enlarge this contemplation unto all the mysteries and secrets,
accomodable unto this number, were inexcusable Pythagorism…."
— Sir Thomas Browne, Hydriotaphia: Urn Burial
https://r-a-w.net/artwork/le-sacre-du-printemps/ .
This post was suggested by . . .
. . . and by an Instagram link to an art museum in Denmark.
A search in Fandom for Saul Durand leads back,
as often happens, to Indiana Jones . . .
Fandom page with a completely irrelevant Indiana Jones video.
See also a Manchester post in this journal.
See also Figurate Geometry at Zenodo —
Amazon order for Here in the Dark: A Novel by Alexis Soloski,
author of today's New York Times obituary for a playwright
who reportedly died last night ——
Update at 12:03 PM ET Wednesday — From April 1 . . .
Report of a Tuesday death:
For another such mixture, see yesterday's posts
now also tagged Art Humor.
"Always with a little humor." — Dr. Yen Lo
The New York Times reports that novelist and academic John Barth
died yesterday at 93. For Barth in this journal, vide . . .
For more extensive remarks by Barth on minimalism, see . . .
https://archive.nytimes.com/www.nytimes.com/books/
98/06/21/specials/barth-minimalism.html.
Tuesday Weld in the 1972 film of Didion's Play It As It Lays :
Note the making of a matching pattern.
Earlier . . .
A Riddler Wannabe —
Related material — The Krauss passage quoted as above
by Shechtman in The New Yorker in December 2021 appears
also in a Log24 post of October 18, 2017: "Three Small Grids."
"How's tricks, dangerous love triangle?"
The Source:
From this journal on October 15, 2023 —
|
"Can you make it any more complicated?" |
One approach . . .
Related viewing —
"… the essence of what has come to be known as film noir …." —
Related material — Plaid in this journal.
Meanwhile . . .
The above post is from the date of the Hollywood premiere of
"Looney Tunes: Back in Action." See also tonight's previous post
and . . .
"Directed by Joe Dante" . . . See also "The Harrowing."
Related reading: Blue Monkey.
See Maniac Monday in this journal and .…
Related reading: "Where credit is due."
"Don’t be distracted by the numbers of people who
haven’t heard of ChatGPT yet—the real bellwethers,
particularly among well-educated or younger people,
are in those business numbers. The recent leap in
work use might indicate that those who are already
augmenting their work with the brainy verbosity of LLMs
are advocating it to colleagues."
— Steven Levy at Wired.com today
https://www.wired.com/story/
plaintext-proof-the-ai-boom-is-people-tapping-chatgpt-at-work/ —
"The sample was taken between February 7 and 11 of this year."
See also, in this journal,
From the above Baez essay —
"And when the hero arrives, there should be
a little flourish of trumpets, like:
And now we come to a key player:
the group of deck transformations."
This remark and Baez's statement that
"Ideally the tricks I’m suggesting here
will be almost invisible…."
suggest a non-mathematical "deck transformation"
that some will prefer —
In the March 21 Netflix series "3 Body Problem,"
the deck of the ship Judgment Day is transformed
in a spectacular manner by an invisible trick.
Above: Episode 2 of "3 Body Problem" on Netflix. This suggests
a review of the phrase "Set the controls for the heart of the sun."
That phrase appeared here in a post of Wednesday, March 6.
Related material from Boxing Day, 2016 —
"Who knows, really…" — Perhaps James Joyce.
From an Instagram ad today —
See also this meaning of "manifest" in Sphere —
novel by Michael Crichton, film by Barry Levinson.
Related material —
"Program or be programmed."
— A saying by the author of the above graphic novel.
From a New York Times art obituary yesterday by Roberta Smith —
"Although frequently called a Minimalist, he came of age
with the slightly younger Post-Minimalist generation
and helped define its concerns."
And then there is the Post-it Minimalist generation . . .
"This is by way of a pep talk, mes petites . . ."
Musical and theatrical accompaniment . . .
Musical: Valse pour les petites , reportedly recorded on March 2, 2019;
Theatrical: A Log24 post from that same date, Schoolgirls for Galois.
From the above: "electronically published on October 6. 2023."
See as well that date in other Log24 posts tagged The Prize Shining.
A co-author of the book reviewed has appeared here previously.
The above solar art is . . .
(By John Baez, cousin of Joan)
(The Baez art was also displayed here on Saturday, March 23, 2024 —
the second day of the 2024 Biennale in the Desert Sun article.)
The image of a mathematician reading Life of Pi in today's 8:36 AM ET post
suggests some further reading, not about a fictional tiger —
As for the tiger . . .
The Phenomenology Part —
Art adapted from a student* artwork in a public gallery display
this month in my hometown library that I saw on March 20 —
The Multispeech Part —
From a New York Times obituary yesterday, March 22 —
https://www.nytimes.com/2024/03/22/books/lyn-hejinian-dead.html —
"With its use of ambiguous language and disjunctive sentences,
the book forsook the traditional language of autobiography,
beginning with a haunting evocation of Ms. Hejinian’s earliest memory,
her father returning from World War II:
A moment yellow, just as four years later, when my father returned
home from the war, the moment of greeting him, as he stood at
the bottom of the stairs, younger, thinner than when he had left,
was purple — though moments are no longer so colored."
I do not endorse the dead poet's philosophy, but the language is striking.
* The artist is much too young to be identified by name on the Internet,
but may (or may not) become much better known in later life.
Related material for comedy writers —
(The above review is from SIAM News, Vol. 25 , No. 3, 1992, p. 6.)
The following article discusses the Gelernter book, and also discusses
an extremely negative review by the late Ted Kaczynski.
See also Menacing Mirrors, a Log24 post from
the morning of Wednesday, March 20, 2024.
|
"Chang noted that 'the story starts slowly, for
1. Chang, Margaret A. "The King in the Window". |
Some will prefer exposition more closely related to Chicago.
From a Log24 search for that word . . .
The above phrase "the intersection of storytelling and visual arts"
suggests a review . . .
Some exposition that does not go back thousands of years —
Addendum for Christopher Nolan — Dice and the Eightfold Cube.
The above cultural comment is by Adam Gopnik,
the author of the novel The King in the Window .
|
An alternative to The Snow Queen On The King in the Window , by Adam Gopnik —
"The book is dedicated to Adam Gopnik's son,
'A fantasy that is as ambitious in theme,
The unlikely eponymous hero is Oliver Parker,
His enemy is the dreaded Master of Mirrors,
Oliver's mission is to defeat the Master of Mirrors — Description at https://biblio.co.nz/. . . . |
See also the menacing quantum computer (or "quamputer")
in Black Mirror — "Joan Is Awful" (June 15, 2023).
|
Shining Mathematics: Pop upbeat V2 March 19, 2024
[Verse]
|
Click the image below to hear the song at app.suno.ai —
Miller's Note to Self : "Don't underestimate Wednesday."
For more about the mathematics itself, see other octad posts.
|
"I am serious about my study. I am a distinguished professor of mathematics at Brown University, though I have not for decades concerned myself with arithmetic, calculus, matrices, theorems, Hausdorff spaces, finite lattice representations, or anything else that involves values or numbers or representations of values or numbers or any such somethings, whether they have substance or not. I have spent my career in my little office on George Street in Providence contemplating and searching for nothing. I have not found it."
Everett, Percival. Dr. No: A Novel (p. 6). |
From a New York Times obituary today . . .
"Armed with his work on the German phenomenologist Edmund Husserl,
in his late 20s and early 30s Mr. Hountondji undertook to confront head-on
'Bantu Philosophy,' a book by a Belgian missionary priest, Placide Tempels…."
A New York Times report today of a March 13 death
suggests a review of . . .
Supplementary tune for Sam Levinson . . .
"Whose barn, what barn, my barn" — Song lyric
From the Belgian artist of the March 25 New Yorker cover —
“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
The New York Times today reports a February 8 death —
Also from February 8, related fashion images —
Before and After . . .
" David Seidler in 2011 after winning two British Academy Film Awards,
or BAFTAs, for his screenplay for 'The King’s Speech.' " —
"Whose barn, what barn, my barn" — Song lyric
See as well Macbeth and the Black Arts, and a report today
by The New York Times of a death on February 7th.
|
" 'The S[elf] is invariant, origin, locus or field, it’s a functional property of consciousness' (C, 15:170 [2: 315]). Just as in transformational geometry, something remains fixed in all the projective transformations of the mind’s momentary systems, and that something is the Self (le Moi, or just M, as Valéry notates it so that it will look like an algebraic variable)." C Valéry, Cahiers, 29 vols. (Paris: Centre National de le Recherche Scientifique, 1957-61) This is from page 157 of . . .
Flight from Eden: The Origins of |
"Time for you to see the field." — Bagger Vance.
I noticed today that the April 2024 issue of the AMS Notices
is now online. Its cover features art by Max Bill (uncredited
on the cover, though not inside). Bill appeared here last week:
For some background, see a webpage at artsandculture.google.com.
The above Livingstone obituary is dated January 29, 2024.
See as well that date in this journal, and some remarks
by Bernd Witte on Walter Benjamin, science, language, and religion.
"… if the system were complete, it would turn out to have been
interrogated during the investigation of one problem or another."
Vide . . .
(Illustration updated at 6:32 AM ET Mon., March 18, 2024.)
See also the post "Fundamental Figurate Geometry"
in this journal on Monday, March 11, 2024.
The word "creamy" in this journal suggests a look at . . .
See also "Circle in the Square" and Fulcrum.
The above is from a post, "Immanentizing the Eschaton," in this
journal on March 6, 2024. For the significance of that date to
San Juan Capistrano , see a New York Times obituary online today.
See as well the source of the above remarks by Walter Benjamin.
See other posts now tagged Word Farm and Whanganui.
… And for Whanganui's Cullinane College, an "OED" that
does not mean "Oxford English Dictionary" . . .
From Theodore Sturgeon's story "What Dead Men Tell" . . .
Update of 1:09 AM ET Saturday, March 16, 2024
(Source: a Substack email received at 12:37 AM ET) —
The post, on triangles and figurate geometry, has had some
minor image corrections, and these corrections have now
also been made in a new Zenodo version.
(Some aesthetic background: In the words of Alan D. Perlis,
that post concerns "a conception that embodies action and
the passing of time in the rigid and timeless structure of an
art form.")
"Alan Perlis also addresses the artist’s freezing of
time as he looks at As I Lay Dying. He sees Darl as
an artist-figure who catches “action in the tension
of stopped-time” (104). Both critics link Faulkner to
John Keats, whose poetry often seeks immortality,
like that of an object such as a Grecian urn or an
Ozymandian monument. Perlis sums this up, saying
that Faulkner 'is an idealist in the manner of a Keats
or a Wallace Stevens, who ponder the paradoxical
nature of a conception that embodies action and the
passing of time in the rigid and timeless structure of
an art form.' "
The work cited:
Perlis, Alan D. “As I Lay Dying as a Study of Time.”
South Dakota Review 10.1 (1972): 103-10
The source of the citation:
I SEE, HE SAYS, PERHAPS, ON TIME:
VISION, VOICE, HYPOTHETICAL NARRATION,
AND TEMPORALITY IN WILLIAM FAULKNER’S FICTION
*****
DISSERTATION
Presented in Partial Fulfillment of the Requirements for
The Degree Doctor of Philosophy in
the Graduate School of The Ohio State University
By David S. FitzSimmons, B.A., M.A.
*****
The Ohio State University, 2003.
A search in this journal for Dakota yields the author Kathleen Norris.
See, for instance . . .
In memory of . . .
Good Seed: Sydell.
Not So Good: Pearl.
This post was suggested by Sam Levinson's work in Whanganui NZ
and Alan D. Perlis's work in Birmingham AL —
From South Dakota, related material for Bible fans —
An image suggested by the posts Fulcrum (Feb. 19, 2024)
and "Fundamental Figurate Geometry" (March 11, 2024) —
Related reading — http://m759.net/wordpress/?s="Arrow+in+the+Blue" .
For Harlan Kane, a post from this journal on July 26, 2022 —
the date of Oettinger's reported death:
Related reading: a death on Oscars weekend . . .
* See as well today's previous post.
Click to enlarge.
See as well "Triangles are Square," at
http://finitegeometry.org/sc/16/trisquare.html.
(I happened to find the Basu-Owen paper tonight
via a Google image search for "congruent subsets" . . .
as opposed to the "congruent subarrays" of
the previous post.)
Update of 3:54 PM ET Monday, March 11, 2024 —
This Stanford version of my square-to-triangle mapping
is the first publication in a new Zenodo community —
Citation for the research note:
Cullinane, Steven H. (2024). Fundamental Figurate Geometry:
Triangle Subdivision (Version 2). Zenodo.
https://doi.org/10.5281/zenodo.10822848
(latest version as of March 15, 2024)
The groups generated as above are affine groups in finite geometries.
What other results are known from this area of research,
which might be called "groups generated by permutations of
congruent subarrays"? (Search phrase: "congruent subarrays")
Finnegans Wake —
"The quad gospellers may own the targum
but any of the Zingari shoolerim may pick a peck
of kindlings yet from the sack of auld hensyne."
Contrast the following page from Daniel Albright in 1997
with the previous post's remarks by Sarah Kennedy in 2018.
Related reading: The Log24 post "Real Beyond Artifice," with a
"Seventh Seal" image from the date of Albright's death.
For Pullman, see previous instances of "wilde abyss" in this journal.
For a less fictional approach to the abyss, see the following.
|
From T. S. Eliot and the Dynamic Imagination
Chapter 7
Would you have me – Shakespeare, Coriolanus, III.ii. [Link added.] . . . .
Eliot describes the creative germ as the The phrase echoes Milton’s Paradise Lost :
Into this wilde Abyss,
Eliot’s creative logic retains an aspect of the divine |
"The phrase echoes Milton's Paradise Lost" —
In describing his abyss, Milton invokes not "psychic material" but
rather the classical view of Nature as composed of the four elements
Water, Earth, Air and Fire.
Note that one source* of the "psychic material" phrase in Eliot's work
gives a rather different picture . . .
"And now I should like to return for a moment to Gottfried Benn
and his unknown, dark psychic material —
we might say, the octopus or angel with which the poet struggles."
* "The Three Voices of Poetry," by T. S. Eliot, The Atlantic, April 1954.
Related entertainment . . .
The remarks of Charles Taylor in the previous post, and
the date — Nov. 4, 2020 — of an article by legal scholar
Chloë Kennedy on deceptive sex that referenced Taylor's
work suggest a look back at a Nov. 4, 2020, post on deceptive
fiction … fiction about the politics of gender, not of sex —
I found the above essay via the references cited in . . .
From a post of March 8, 2017 —
This is from posts tagged Glitch.
"There's plenty of dives
to be someone you're not. . . ."
— Rosanne Cash, Seven-Year Ache
"Dr Kennedy’s project, entitled ‘Identity Deception: A Critical History’,
asks when, if ever, it is appropriate to punish a person who engages
in identity deception (pretending to be someone they are not)."
— Edinburgh Law School, "Wed 14 August 2019"
Also on the above "Double Veil" date, 14 August 2019 —
Summary for International Women's Day —
"Why can't a woman be more like a man?"
— Professor Henry Higgins
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