Log24

Thursday, February 2, 2023

“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 —

Saturday, January 21, 2023

Dead-Poet Witcraft

Filed under: General — Tags: , , — m759 @ 2:40 pm

"Death is the mother of beauty." — Wallace Stevens

From the 2020 Feast of St. Wallace Stevens,
who reportedly died in 1955 on August 2 —

Related material —

Durer magic square as an affine transformation

Exercise Can each  order-4 magic square be obtained by some
transformation like the one above (i.e., preserving affine hyperplanes)?
If not, why not?

Update of 31 Jan. 2023 — Spoiler Remarks by Tilman Piesk.

Sunday, August 2, 2020

Zero-Sum Theorem

Filed under: General — Tags: — m759 @ 6:41 am

Durer Magic Square as an affine transformation

Wednesday, April 1, 2020

Books at Perlego

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

Jung's Aion four-diamond diagram vs. recreational mathematics

" How small is the evil that may be safely ignored…? "
— "QBass" at Wikipedia, April 1, 2020

Good question.

Thursday, February 13, 2020

Zero Sum

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

The novel Zero Sum Game  by S. L. Huang is reviewed in the
March 2020 Notices of the American Mathematical Society .

For the same novel in this  journal, see posts tagged Berlekamp’s Game.

Tuesday, April 9, 2019

Old Guy with a Cane

Filed under: General — Tags: , — m759 @ 1:10 am

From yesterday's post Misère Play —

See as well New York Times  book review of the novel Point Omega .
(The Times 's "Wrinkle in Time" is the title of the review, not of the novel.)

Related material suggested by the publication date — March 27, 2014
of a novel titled Zero Sum Game  —

Zero Sum Game

Filed under: General — Tags: , — m759 @ 12:30 am

Compare and contrast —

Monday, September 17, 2018

Lying at the Axis

Filed under: G-Notes,General,Geometry — Tags: — m759 @ 12:00 am

Or:  Zero Dark Zero

" Lying at the axis of everything, zero is both real and imaginary. Lovelace was fascinated by zero; as was Gottfried Leibniz, for whom, like mathematics itself, it had a spiritual dimension. It was this that let him to imagine the binary numbers that now lie at the heart of computers: 'the creation of all things out of nothing through God's omnipotence, it might be said that nothing is a better analogy to, or even demonstration of such creation than the origin of numbers as here represented, using only unity and zero or nothing.' He also wrote, 'The imaginary number is a fine and wonderful recourse of the divine spirit, almost an amphibian between being and nonbeing.' "

— A footnote from page 229 of Sydney Padua's
    April 21, 2015, book on Lovelace and Babbage

Thursday, August 31, 2017

A Conway-Norton-Ryba Theorem

Filed under: General,Geometry — Tags: , — m759 @ 1:40 pm

In a book to be published Sept. 5 by Princeton University Press,
John Conway, Simon Norton,  and Alex Ryba present the following
result on order-four magic squares —

A monograph published in 1976, “Diamond Theory,” deals with
more general 4×4 squares containing entries from the Galois fields
GF(2), GF(4), or GF(16).  These squares have remarkable, if not
“magic,” symmetry properties.  See excerpts in a 1977 article.

See also Magic Square and Diamond Theorem in this  journal.

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