“Between Analogies” « Search Results

Monday, September 28, 2026

Analogies Between Analogies*

Filed under: General — Tags: Duelle, Sun and Moon — m759 @ 4:37 pm

Exhibit A —

The Doubloon of Ahab versus
The Shield of Achilles

These circular shiny objects are said
to have inspired . . .

Exhibit B —

"Entirely different meanings" versus
"Many different interpretations"

Exhibit C —

The sun and moon are somewhat more notable
circular shiny objects . . .

Sunday, September 13, 2020, Log24 Post —

The Night Clerk in Duelle (1976)

— m759 @ 10:51 pm

“As for amateur detective Lucie, she meets Viva and
begins to realize that both Viva and her client, Leni,
are after the same jewel. Her brother reluctantly reveals
their true natures: Viva is the daughter of the Sun, and
Leni the daughter of the Moon. They can stay on Earth
for only 40 days between the last full moon of winter
and the first full moon of spring. The magic jewel can
allow them to stay.”

— Jeff Kuykendall at Midnight Only on June 3, 2017

* Vide https://mathoverflow.net/questions/13832/
analogies-between-analogies

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Monday, October 6, 2025

Analogy Between Analogies

Filed under: General — Tags: Fano Labelings, Shadow Guests — m759 @ 9:27 pm

Consider . . .

A. The nontrivial analogy between the two parts of the well-known natural
15+15 partition of the 30 labelings of the Fano plane PG(2, 2)

B. The nontrivial analogy between the two parts of the well-known natural
15+15 partition of the 30 planes of the Klein quadric in PG(5, 2)

Are A and B nontrivially analogous? If so, how?

Update of 6:58 PM EDT Oct. 7 . . .

Hint:

Use as labels for PG(2, 2) points the seven nonzero vectors in the
3-space over GF(2), expressed as 001, 010, 011, 100, 101, 110, 111.
Then form three seven-digit vectors by taking the first, second, and third
digit in each 3-digit vector. View these seven-digit vectors as points of
the Klein quadric in PG(5, 2).

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Wednesday, September 26, 2018

Analogies Between Analogies

Filed under: General — Tags: Alias: Red One, Promises, Red One UP — m759 @ 8:05 pm

On the new Netflix series "Maniac" —

(Spoiler alert)

"The treatment Owen and Annie sign up for promises to fix
its subjects’ brains with just three little pills—A, B, and C—
administered one after another over the span of three days.
The first forces you to relive your trauma;
the second exposes your blind spots; and
the third pill forces a confrontation."

— Kara Weisenstein at vice.com, Sept. 26, 2018, 12:19 PM

Friday, June 29, 2018

Analogies Between Analogies:

Filed under: General — Tags: McLuhan Analogy — m759 @ 3:33 am

Literary Meditation for the Feast of SS Peter and Paul

Background: McLuhan on analogy.

See a publication offering facsimiles of the original 4×6 cards
of John Shade's "Pale Fire," as Nabokov described them.

Regarding these card proportions, note that 4/6 = 333/500, approximately —
the proportions of the text box in a post from yesterday.

"Continue a search for thirty-three and three" — Katherine Neville.

These rather pointless, but vaguely poetic, analogies were suggested by …

Yesterday morning's "The Corrections," a post
featuring spider ballooning and a dead poet, and
"Blue Dream," a post of Feb. 11, 2006.

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Tuesday, January 10, 2017

Analogies Between Analogies

Filed under: General — m759 @ 9:27 pm

"Do you like puzzles?" — J. K. Simmons

See also Sunday's post "A Theory of Everything"
and an obituary in this evening's New York Times .

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Tuesday, August 9, 2016

Analogies Between Analogies (continued)

Filed under: General — m759 @ 11:30 pm

2:3 :: 4:6

Midrash —

Piano keys with C, E, G as 4, 5, 6

Notes and frequency ratios

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Wednesday, October 8, 2025

Cube-Brick Columns

Filed under: General — Tags: 105 Partitions, Fano Labelings, Klein Space, Shadow Guests — m759 @ 4:58 am

This post was suggested by yesterday's update to
the "Analogy Between Analogies" post of October 6.

The reason for the above columns . . .

The action of S₈ on the rows of an 8-row 3-column matrix

000
001
010
011
100
101
110
111

is intimately connected, via the 30 labelings of a Fano plane
and via the Klein quadric in PG(5, 2), with the action of a
group of order 322,560 on the 16 squares of a 4×4 array.
See Conwell, 1910 [1] and the Log24 tag 105 partitions.

1. Conwell, George M. “The 3-Space PG(3, 2) and Its Group.”
Annals of Mathematics, vol. 11, no. 2, 1910, pp. 60–76.
JSTOR, https://doi.org/10.2307/1967582.

For those who prefer narratives to mathematics: The Cubes.

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Thursday, April 14, 2016

Banach Revisited

Filed under: General — m759 @ 12:00 pm

A 1960 analogy by Max Black —

"Those who see a model as a mere crutch
are like those who consider metaphor
a mere decoration or ornament."

This suggests a search for "Analogies between Analogies" —

“A mathematician is a person who can find analogies
between theorems; a better mathematician is one who
can see analogies between proofs and the best
mathematician can notice analogies between theories.
One can imagine that the ultimate mathematician is one
who can see analogies between analogies.”

— Stefan Banach, according to MacTutor.

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Tuesday, April 3, 2012

Catholic View

Filed under: General — m759 @ 9:48 am

"When shall we three meet again?"

Left to right— John von Neumann, Richard Feynman, Stanislaw Ulam

The source of the above book's title, "Analogies between Analogies,"
was misattributed in a weblog post linked to here on March 4th, 2012.
It occurs in a quote due not to Stanislaw Ulam but to Stefan Banach—

IMAGE- 'Catholic view' quote in foreword of book 'Analogies between Analogies'

Ulam was Jewish. Banach was not.

From a webpage on Banach—

"On 3 April 1892, he was baptized in the Roman Catholic
Parish of St. Nicholas in Krakow."

Thursday, June 7, 2007

Thursday June 7, 2007

Filed under: General — Tags: The Framing — m759 @ 4:15 pm

Framing
truth

On "framing" and "spin"
in journalism:

"… Packaging is unavoidable.
Facts rarely, if ever,
speak for themselves."

— Matthew C. Nisbet,
Assistant Professor
of "Communication,"
June 6, 2007

If they could, they might
say "We was framed!"

Facts cannot, of course,
speak for themselves
to those who do not
understand their language.

Example:

A picture that appeared in
Log24 on June 7, 2005:

Click for details.

Attempt to
frame the picture:

Analogies

"A functor is an analogy."
— Anonymous

The best mathematicians "see
analogies between analogies."
— Banach, according to Ulam

For further details,
click on the link
"Analogies" above.

See also the analogies in
the previous entry.

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Tuesday, March 30, 2004

Tuesday March 30, 2004

Filed under: General — Tags: on040330 — m759 @ 12:00 am

Banach’s Birthday

“A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between proofs and the best mathematician can notice analogies between theories. One can imagine that the ultimate mathematician is one who can see analogies between analogies.”

— Stefan Banach, according to MacTutor.

The quotation is perhaps taken from Through a Reporter’s Eyes: The Life of Stefan Banach, by Roman Kauza (a.k.a. Roman Kaluza).

“What we today call ‘Banach spaces’
are called
‘spaces of type (B)’
in Banach’s book.”
— Sheldon Axler

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