Log24

Friday, February 3, 2023

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."

Sunday, July 19, 2015

Lying Rhyme

Filed under: General,Geometry — m759 @ 6:45 pm
 

Tom Stoppard, Jumpers —

“Heaven, how can I believe in Heaven?” 
she sings at the finale.
“Just a lying rhyme for seven!”

“To begin at the beginning: Is God?…”
[very long pause]

Leave a space.”

See as well a search for "Heaven.gif" in this journal.

For the more literate among us —

     … and the modulation from algebra to space.

Saturday, June 22, 2024

O Carina

Filed under: General — m759 @ 7:24 am

From a 2016 graphic novel by Douglas Rushkoff

See as well . . .

https://zelda.fandom.com/wiki/Triforce and Galois Rhyme.

Related reading:

In that 2016 Rushkoff book,  vide the foreword, dated March 1, 2016 …
and, from that same date in this  journal, posts tagged Buttressed.

Monday, November 27, 2023

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 . . .


 

Monday, September 18, 2023

The Passage of Time

Filed under: General — Tags: , — m759 @ 9:55 am

The figure above summarizes a new way of looking at 
so-called "figurate numbers." The old  way goes back
at least to the time of Pythagoras.

A more explicit presentation —

Tuesday, February 7, 2023

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."

Thursday, June 13, 2013

Gate

Filed under: General,Geometry — Tags: , , , — m759 @ 2:13 pm

"Eight is a Gate." — Mnemonic rhyme

Today's previous post, Window, showed a version
of the Chinese character for "field"—

This suggests a related image

The related image in turn suggests

Unlike linear perspective, axonometry has no vanishing point,
and hence it does not assume a fixed position by the viewer.
This makes axonometry 'scrollable'. Art historians often speak of
the 'moving' or 'shifting' perspective in Chinese paintings.

Axonometry was introduced to Europe in the 17th century by
Jesuits returning from China.

Jan Krikke

As was the I Ching.  A related structure:

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