Log24

Thursday, November 30, 2023

The Chronic Gap

Filed under: General — Tags: — m759 @ 11:03 am

— Niall Ferguson, Kissinger, 1923-1968: The Idealist

From this journal on Guy Fawkes Day, 2011—

Shadows

m759 @ 7:59 AM

Between the idea
And the reality
Between the motion
And the act
Falls the Shadow

— T. S. Eliot,
"The Hollow Men"    

Wednesday, November 29, 2023

Headline*

Filed under: General — Tags: , — m759 @ 9:18 pm

* "Rhymes with . . . ."

Cards of Identity . . . by B. Traven

Filed under: General — m759 @ 12:16 pm

For a Labyrinth of Solitude

Filed under: General — Tags: , — m759 @ 11:24 am

Hood Ornament for Wednesday Addams

Filed under: General — Tags: — m759 @ 10:37 am

Charade: Rhymes with “Ice-Nine”

Filed under: General — Tags: — m759 @ 9:35 am

Tuesday, November 28, 2023

A Midrash for Chatbots

Filed under: General — Tags: , — m759 @ 8:41 am

"Some obviously very irrelevant and wildly nonsensical
interpretations that are not worth serious comment
are being put forward all the time."

— Fritz Senn, "Quoint a quincidence (Finnegans Wake 299.8)."
James Joyce Quarterly, Vol. 7, No. 3 (Spring, 1970), pp. 210-217

Indeed they are.

Monday, November 27, 2023

Birkhoff-von Neumann Symmetry* over Finite Fields

Filed under: General — Tags: — m759 @ 8:09 pm

See David G. Poole, "The Stochastic Group,"
American Mathematical Monthly,  volume 102, number 9
(November, 1995), pages 798–801.

* This post was suggested by the phrase "The Diamond Theorem,
also known as the von Neumann-Birkhoff conjecture" in a
ChatGPT-3.5 hallucination today.

That phrase suggests a look at the Birkhoff-von Neumann theorem:

The B.-von N. theorem suggests a search for analogous results
over finite fields. That search yields the Poole paper above,
which is  related to my own "diamond theorem" via affine groups.

The Diamond Theorem According to Llama 2

Filed under: General — Tags: , — m759 @ 1:51 pm

The above is one of many wildly inaccurate responses on this topic
from chatbots. A chatbot combined with search,  however —
such as Bing Chat with GPT-4 —  can be both accurate and helpful.

A Confused AI Asks for Help

Filed under: General — Tags: , , — m759 @ 9:14 am

Problems with the Process

Filed under: General — Tags: , — m759 @ 5:52 am

Condensed from Peter J. Cameron's weblog today —

“Words that tear and strange rhymes”

"In his youth, Paul Simon thought of himself as a poet . . . .

And surprisingly often he describes problems with the process:

And the song I was writing is left undone
I don’t know why I spend my time
Writing songs I can’t believe
With words that tear and strange rhymes

For me, things were somewhat similar. Like many people, I wrote poetry in my youth. Julian Jaynes says something like 'Poems are rafts grasped at by men drowning in inadequate minds', but I think I knew from early on that one of the main reasons was to practise my writing, so that when I had something to say I could say it clearly. When Bob Dylan renounced the over-elaborate imagery of Blonde on Blonde  for the clean simplicity of John Wesley Harding, I took that as a role model.

Could Simon’s experience happen in mathematics? It is possible to imagine that an important mathematical truth is expressed in 'words that tear and strange rhymes'. More worryingly, an argument written in the most elegant style could be wrong, and we may be less likely to see the mistake because the writing is so good."

The problem with the process in this  case is Cameron's misheard lyrics.

From https://www.paulsimon.com/track/kathys-song-2/

And a song I was writing is left undone
I don’t know why I spend my time
Writing songs I can’t believe
With words that tear and strain to rhyme

A rather different artist titled a more recent song
"Strange Rhymes Can Change Minds."

See also . . .


 

Sunday, November 26, 2023

Leftover Pi:  A Goldberg Variation

Filed under: General — Tags: — m759 @ 6:37 pm

From the "Hi Pi" post of November 21 —

Followups this evening to the "Hi Pi" post of November 21 —

Stella for Macbeth

Filed under: General — m759 @ 4:54 pm

"Play Stella by Starlight for Lady Macbeth" — Bob Dylan

Die Fahne Hoch,
Frank Stella,
1959


Dorothy Miller,
MoMA curator,

died at 99 on
July 11, 2003
.

A variation for Macbeth

For enthusiasts of arithmetic rather than geometry —

"4 + 12 = 16."

And for fans of Christoper Nolan — Window Panes :

In the Style of Belafonte

Filed under: General — Tags: , — m759 @ 8:01 am

For Sam Levinson, a narrow window

And away he gone day
And away he gone night
And away he gone dark
And away he gone light

— Song lyric, Edward Sharpe & the Magnetic Zeros

Related material from Wikipedia

" 'Brother' was named after Ebert's good friend and famed actor
Heath Ledger, who died in 2008.* Ebert said in an interview with
the BuildSeriesNYC in early 2020 that he and Ledger, the night
before Ledger's death, were talking about a movie script concept
where they are brothers, and one of them dies, and the spirit is
with the other. Ebert talked about being stunned the next morning
to find out Ledger had died."

* Specifically, on January 22, 2008.

Related material from this  journal —

A post of 11:30 PM ET January 21, 2008: Serious Numbers.

Saturday, November 25, 2023

Phrases by Archimedes —
“A Place to Stand” and “The Sand Reckoner”

Filed under: General — m759 @ 7:50 am

"The hard sand breaks,
And the grains of it
Are clear as wine."

— By  "H. D."… “Hermes of the Ways,” 
Pp. 21-23, Vol. 1, No. 5 of  The Glebe
Des Imagistes , February, 1914.

Seize the “Dia-”

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

https://www.etymonline.com/word/dia-

"… before vowels, di-, word-forming element meaning
'through, in different directions, between,' also often
merely intensive, 'thoroughly, entirely,' from Greek
dia  'through; throughout,' probably cognate with bi-
and related to duo  'two' (from PIE root *dwo- 'two')
with a base sense of 'twice.' "

A midrash for Heidegger  —

Here "PIE" does not refer to food. It is an acronym
for "Proto-Indo-European."

See as well "Language Animal" in this journal.

Putting the “Pi” in “Pioneer”

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

Friday, November 24, 2023

Two Pioneering Women

Filed under: General — Tags: — m759 @ 7:45 pm

The above two reported death dates:

Accuracy check for a post from midnight, October 10-11, 2023 —

"Vermeers are small."

Pioneering Pedagogy

Filed under: General — Tags: , — m759 @ 10:59 am

A Harvard Crimson  piece from Tuesday, November 21, 2023 —

See also "Pedagogy" in this  journal.

Thursday, November 23, 2023

Art Puzzle

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

Speak, Memory: 12 Panes or 16?

Filed under: General — m759 @ 3:20 am

"Blackboard Jungle," 1955 —

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

"Through the unknown, remembered gate . . . ."

— T. S. Eliot, Four Quartets

A differently remembered gate —

Historical photo

Wednesday, November 22, 2023

Home for Thanksgiving

Filed under: General — m759 @ 2:51 pm

A publication from 1938

509 Fourth Avenue, Warren, Pennsylvania —

From The Phantom Tollbooth

Related material —

For E. Lily Yu* — Devs Setting

Filed under: General — Tags: , , , — m759 @ 12:49 pm
 

Friday, July 11, 2014

Spiegel-Spiel des Gevierts

Filed under: Uncategorized — m759 @ 12:00 PM

See Cube Symbology.

Robert Langdon (played by Tom Hanks) and a corner of Solomon's Cube

Da hats ein Eck 

* Author of Jewel Box: Stories  ( Erewhon Books, Oct. 24, 2023).

Tuesday, November 21, 2023

Mathematics and Narrative: Symmetry and the Snow Queen

Filed under: General — Tags: , , — m759 @ 7:22 pm

The phrase "the mathematical concept of invariance of symmetry"
in the previous post suggests a Google search . . .

For those who prefer narrative to mathematics, the search result
"The Time Invariance of Snow" is not without interest.

See also "Snow Queen" in this  journal.

Hi Pi

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

Gold Dust

Filed under: General — Tags: — m759 @ 7:42 am

For a California novelist
who reportedly died at 99
on Sunday, Nov. 19, 2023 —
cf.  Friday,  Oct, 20,  2023.

Monday, November 20, 2023

The Tumultuous Weekend

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

Annals of Symbology

Filed under: General — Tags: , , — m759 @ 8:16 am

See also Log24 on August 30, 2006.

Sunday, November 19, 2023

Six Dimensions

Filed under: General — Tags: , — m759 @ 9:59 am

Heinlein:

"Sharpie, we have condensed six dimensions into four,
then we either work by analogy into six, or we have to use math
that apparently nobody but Jake and my cousin Ed understands.
Unless you can think of some way to project six dimensions into three–
you seem to be smart at such projections."

I closed my eyes and thought hard. "Zebbie, I don't think it can be done.
Maybe Escher could have done it."

Image-- Escher's 'Verbum'

Escher’s Verbum

Image-- Solomon's Cube

Solomon’s Cube

For the First Church of Aquaman . . .

Filed under: General — Tags: — m759 @ 8:10 am

From "Glamour" in this journal —

 

Meets . . .

 

Creature from the Blue Lagoon

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