Log24

Wednesday, May 15, 2024

Alignment

Filed under: General — Tags: — m759 @ 11:08 pm

Click for other posts referring to "Alignment."

Sunday, March 12, 2023

Colossus: The Forbes Project*

Filed under: General — Tags: — m759 @ 4:14 pm

Forbes  magazine on April 1, 2022

Log24  on April 1, 2022

* Title suggested by "Colossus: The Forbin Project" (1970)

Thursday, August 12, 2021

A Square Crystal Paperweight

Filed under: General — Tags: — m759 @ 9:21 am
 

Friday March 31, 2006

Filed under: GeneralGeometry —
Tags:  —
m759 @ 12:00 PM 

Women's History Month continues…
 
Ontology Alignment

"He had with him a small red book of Mao's poems, and as he talked he squared it on the table, aligned it with the table edge first vertically and then horizontally.  To understand who Michael Laski is you must have a feeling for that kind of compulsion."

— Joan Didion in the Saturday Evening Post,
Nov. 18, 1967 (reprinted in Slouching Towards Bethlehem)

"Or were you," I said.
He said nothing.
"Raised a Catholic," I said.
He aligned a square crystal paperweight with the edge of his desk blotter.

— Joan Didion in The Last Thing He Wanted, Knopf, 1996

"It was Plato who best expressed– who veritably embodied– the tension between the narrative arts and mathematics….

Plato clearly loved them both, both mathematics and poetry.  But he approved of mathematics, and heartily, if conflictedly, disapproved of poetry.  Engraved above the entrance to his Academy, the first European university, was the admonition: Oudeis ageometretos eiseto.  Let none ignorant of geometry enter.  This is an expression of high approval indeed, and the symbolism could not have been more perfect, since mathematics was, for Plato, the very gateway for all future knowledge.  Mathematics ushers one into the realm of abstraction and universality, grasped only through pure reason.  Mathematics is the threshold we cross to pass into the ideal, the truly real."

— Rebecca Goldstein, 
Mathematics and the Character of Tragedy

Tuesday, February 24, 2015

Amy’s After-Party

Filed under: General — m759 @ 2:21 pm

Continued from Putting the A in VANITY,
Putting the AI in FAIR, and Core Problem:

Tuesday, August 13, 2013

Plan 9

Filed under: General — Tags: , — m759 @ 11:00 am

(Continued from August 28 last year)

Backstory— 

Reflections from today's date, August 13, in 2003, that included
the following remark by Aldous Huxley on an artist's work:

"All the turmoil, all the emotions of the scenes
have been digested by the mind into a
grave intellectual whole. It is as though
Bach had written the 1812 Overture."

Related art—

Josefine Lyche, from her 2013 Crackquarelle  series:

IMAGE- From the 2013 Josefine Lyche 'Crackquarelle' series

Steven H. Cullinane, The Story of N ,
from The Misalignment of Mars and Venus series:

http://www.log24.com/log/pix11B/110720-Misaligned.jpg

See, too, previous posts on The Story of N.

Sunday, July 28, 2013

Sermon

Filed under: General,Geometry — Tags: — m759 @ 11:00 am

(Simplicity continued)

"Understanding a metaphor is like understanding a geometrical
truth. Features of various geometrical figures or of various contexts
are pulled into revealing alignment with one another by  the
demonstration or the metaphor.

What is 'revealed' is not that the alignment is possible; rather,
that the alignment is possible reveals the presence of already-
existing shapes or correspondences that lay unnoticed. To 'see' a
proof or 'get' a metaphor is to experience the significance of the
correspondence for what the thing, concept, or figure is ."

— Jan Zwicky, Wisdom & Metaphor , page 36 (left)

Zwicky illustrates this with Plato's diamond figure
​from the Meno  on the facing page— her page 36 (right).

A more sophisticated geometrical figure—

Galois-geometry key to
Desargues' theorem:

   D   E   F
 S'  P Q R
 S  P' Q' R'
 O  P1 Q1 R1

For an explanation, see 
Classical Geometry in Light of Galois Geometry.

Wednesday, July 20, 2011

What Was I Thinking?

Filed under: General — Tags: — m759 @ 9:09 am

An 8:07 AM check of a link in this morning's 8 AM post,
The Misalignment of Mars and Venus, showed an ad—

http://www.log24.com/log/pix11B/110720-AnotherEarthAd.jpg

— that led to the website for the upcoming film "Another Earth."

At that website is an image that might well be titled…

"Mars and Venus Realigned"—

http://www.log24.com/log/pix11B/110720-AnotherEarthSm.jpg

Click to enlarge.

Cover Art

Filed under: General — Tags: , , — m759 @ 8:00 am

The Misalignment of Mars and Venus

A death in Sarasota on Sunday leads to a weblog post from Tuesday
that suggests a review of Dan Brown's graphic philosophy—

From The Da Vinci Code :

Langdon pulled a pen from his pocket.  “Sophie are you familiar with the modern icons for male and female?”  He drew the common male symbol ♂ and female symbol ♀.

“Of course,” she said.

“These,” he said quietly, are not the original symbols for male and female.  Many people incorrectly assume the male symbol is derived from a shield and spear, while the female represents a mirror reflecting beauty.  In fact, the symbols originated as ancient astronomical symbols for the planet-god Mars and the planet-goddess Venus.  The original symbols are far simpler.”  Langdon drew another icon on the paper.

 

 

 

“This symbol is the original icon for male ,” he told her.  “A rudimentary phallus.”

“Quite to the point,” Sophie said.

“As it were,” Teabing added.

Langdon went on.  “This icon is formally known as the blade , and it represents aggression and manhood.  In fact, this exact phallus symbol is still used today on modern military uniforms to denote rank.”

“Indeed.”  Teabing grinned.  “The more penises you have, the higher your rank.  Boys will be boys.”

Langdon winced.  “Moving on, the female symbol, as you might imagine, is the exact opposite.”  He drew another symbol on the page.  “This is called the chalice .”

 

 

Sophie glanced up, looking surprised.

Langdon could see she had made the connection.  “The chalice,” he said, “resembles a cup or vessel, and more important, it resembles the shape of a woman’s womb.  This symbol communicates femininity, womanhood, and fertility.”

Langdon's simplified symbols, in disguised form, illustrate
a musical meditation on the misalignment of Mars and Venus—

http://www.log24.com/log/pix11B/110720-Misaligned.jpg

This was adapted from an album cover by "Meyers/Monogram"—

http://www.log24.com/log/pix11B/110720-BladeAndChalice-RomeoAndJuliet-500w.jpg

  See also Secret History and The Story of N.

Friday, July 11, 2008

Friday July 11, 2008

Filed under: General — m759 @ 7:11 pm
De Haut en Bas
continued from July 3

"I say high, you say low,
you say why,
and I say I don't know.
Oh, no.
You say goodbye
and I say hello."

Hello Goodbye *

Thanks to NBC Nightly News tonight for a story on the following:

Manhattanhenge
is an evening when "the Sun sets in exact alignment with the Manhattan grid, fully illuminating every single cross-street…."

Full Sun on grid:
Friday, July 11–
8:24 PM EDT

Related material from the late
Tom Disch on St. Sarah's Day:
 

Saturday, May 24th, 2008

9:15 pm

What I Can See from Here

I face east toward the western wall
Of a tall many-windowed building
Some distance off. I don't see the sunset
Directly, only as it is reflected
From the facade of that building.
Those familiar with Manhattan know
How the evening sun appears to slide
Into the slot of any east/west street,
And so its beams are channeled
Along those canyon streets to strike
Large objects like that wall
And scrawl their anti-shadows there,
A Tau of twilight luminescence
At close of day. I've seen this
For some forty years and only tonight
Did I realize what I had been looking at:
The way god tries to say good-bye.

Tom Disch

* Walter Everett, in The Beatles as Musicians , has a note on the song "Hello Goodbye"–

"189. The extra-long coda… was referred to as the 'Maori finale' from the start…."

  (Updated Feb. 27, 2013, to replace an incorrect reference in the footnote
   to a book by Stanley Cavell instead of the correct book, by Walter Everett.)

Sunday, May 27, 2007

Sunday May 27, 2007

Filed under: General — m759 @ 8:00 am
Random Number
The previous entry links back to May 18’s “Devil in the Details,” an entry quoting Peter Woit.  Yesterday afternoon Woit, who sometimes writes on pure mathematics as well as physics, posted an entry on a talk said to be related to something called “the ABC-conjecture,” which has been called “the most important unsolved problem in diophantine analysis.” (Dorian Goldfeld,  “Beyond the Last Theorem,” The Sciences, March/April 1996, 34-40)

On the ABC-conjecture in number theory:

“We hope to elucidate the beautiful connections between elliptic curves, modular forms and the ABC–conjecture.” —Dorian Goldfeld (pdf)

An Edinburgh postgraduate student on the conjecture:

“… abc brings us full circle to Fermat’s Last Theorem….” —Graeme Taylor at Everything2.com

I regret I can add nothing to Taylor’s admirable exposition and to Goldfeld’s “beautiful connections” except the following observation of a rather ugly connection.

The previous Log24 entry, from yesterday afternoon, related the May 18 “details” entry to Friday’s PA evening lottery number, 005.  A  followup seems (if only to honor the madcap tradition of John Nash) to be called for.  The PA evening number yesterday evening, Saturday, was 443.  Nash, in his younger days, might have been pleased to note that this number is associated (if only by coincidence) with a topic Woit mentioned earlier yesterday– Fermat’s famed conjecture:

The image “http://www.log24.com/log/pix07/070527-Fermat.jpg” cannot be displayed, because it contains errors.
Page 443

in The Annals of Mathematics,
2nd Ser., Vol. 141, No. 3 (May, 1995)
This is the first page of a rather
 famous paper by Andrew Wiles.

Such coincidences are, of course, anathema to believers in the religion of Scientism.  But one such believer, Natalie Angier (yesterday morning’s entry), at least acknowledges the charm of “the atheist’s favorite Christmas movie, ‘Coincidence on 34th Street.'” (pdf)

Wednesday, August 2, 2006

Wednesday August 2, 2006

Filed under: General — m759 @ 2:00 am
Final Arrangements,
continued

Ontology Alignment is
the process of determining
correspondences between concepts.”

The image “http://www.log24.com/log/pix06A/060802-Deaths.jpg” cannot be displayed, because it contains errors.

Online New York Times today

The image “http://www.log24.com/log/pix05/050326-Garden.jpg” cannot be displayed, because it contains errors.

“With a little effort,
anything can be shown to
connect with anything else:
existence is infinitely
cross-referenced.”

— Opening sentence of
Martha Cooley’s The Archivist

“Frere Jacques, Cuernavaca,
ach du lieber August.”

— John O’Hara, Hope of Heaven, 1938

And now I was beginning to surmise:
Here was the library of Paradise.

Hermann Hesse, Magister Ludi 

(For Hesse in another context,
see the Log24 entries of
  Nov. 4-6, 2003.)

Wednesday, May 3, 2006

Wednesday May 3, 2006

Filed under: General — m759 @ 1:00 pm
Ontology Alignment
continued

“Mathematics ushers one into the realm of abstraction and universality, grasped only through pure reason.  Mathematics is the threshold we cross to pass into the ideal, the truly real.”

     — Rebecca Goldstein,
       Mathematics and
       the Character of Tragedy

Pennsylvania Lottery:

The winning numbers
for Tuesday, May 2–
the feast of
St. Athanasius:

Mid-day 703
Evening 462

“You gotta be true to your code”
— Sinatra (see previous entry)

 Dewey Decimal Code:

703 The Arts:
       Dictionaries &
       Encyclopedias
462 Spanish Etymology

Related material:

For the arts, see
the previous entry.
For Spanish etymology,
see the remarks on
a Spanish word in
Plato, Pegasus, and
the Evening Star,
a note linked to in the
April 30 memorial entry
for John Kenneth Galbraith.

The numbers 703 and 462 are, in Goldstein’s phrase, “truly real.”  However, their link to St. Athanasius and to the Spanish language is, as purveyors of fiction* say, “purely coincidental”– as is much of what makes life interesting.

“All persons living and dead are purely coincidental….”– Kurt Vonnegut, epigraph to Bagombo Snuff Box

* For instance,
   David Auburn in Proof,

   The image “http://www.log24.com/log/pix06A/060503-DrLecter2.jpg” cannot be displayed, because it contains errors.

   which also involves
   Dewey decimal numbers

Friday, March 31, 2006

Friday March 31, 2006

Filed under: General,Geometry — Tags: , — m759 @ 12:00 pm

Women's History Month continues…
 
Ontology Alignment

"He had with him a small red book of Mao's poems, and as he talked he squared it on the table, aligned it with the table edge first vertically and then horizontally.  To understand who Michael Laski is you must have a feeling for that kind of compulsion."

— Joan Didion in the
Saturday Evening Post,
Nov. 18, 1967 (reprinted in
Slouching Towards Bethlehem)

"Or were you," I said.
He said nothing.
"Raised a Catholic," I said.
He aligned a square crystal paperweight with the edge of his desk blotter.

— Joan Didion in
The Last Thing He Wanted,
Knopf, 1996

"It was Plato who best expressed– who veritably embodied– the tension between the narrative arts and mathematics….

Plato clearly loved them both, both mathematics and poetry.  But he approved of mathematics, and heartily, if conflictedly, disapproved of poetry.  Engraved above the entrance to his Academy, the first European university, was the admonition: Oudeis ageometretos eiseto.  Let none ignorant of geometry enter.  This is an expression of high approval indeed, and the symbolism could not have been more perfect, since mathematics was, for Plato, the very gateway for all future knowledge.  Mathematics ushers one into the realm of abstraction and universality, grasped only through pure reason.  Mathematics is the threshold we cross to pass into the ideal, the truly real."

— Rebecca Goldstein,
Mathematics and
the Character of Tragedy

Friday, June 4, 2004

Friday June 4, 2004

Filed under: General — m759 @ 11:22 am

Feel lucky?
Well, do you?

The image “http://www.log24.com/log/pix04A/040604-Sting.gif” cannot be displayed, because it contains errors.

The image “http://www.log24.com/log/pix04A/040604-Lucky.jpg” cannot be displayed, because it contains errors.  This entry was inspired by the following…
1.  A British blogger’s comment today.  This man, feeling like a miserable failure himself, was cheered up by the following practical joke: “If really fed up you could try putting in, miserable failure, (no quote marks) into Google and pressing the ‘I’m feeling lucky’ button.”

2. The page, excerpts from which are shown  above, that you get if you put lucky (no quote marks) into Google and press the “I’m feeling lucky” button.

3. My own entries of May 31 on Language Games and of June 1 on language and history,  Seize the Day and One Brief  Shining Moment.

4.  The related June 1 entry of Loren Webster, Carpe Diem, on the Marilyn Monroe rose.  Images from Carpe and Shining are combined below:

The image “http://www.log24.com/log/pix04A/040604-Feeling.jpg” cannot be displayed, because it contains errors.

5.  The fact that the “day” to be seized in Language Games is numbered 22, and that on day 22 of November 1963,  the  following died:

C. S. Lewis
John F. Kennedy
  Aldous Huxley.

6. The fact that November 22 is the feast of  Cecilia, patron saint of music.

7. Yesterday’s entry about the alignment of stars, combined with the alignment of Venus with Apollo (i. e., the sun) scheduled for June 8.

All of the above suggest the following readings from unholy scripture:

A.  The “long twilight struggle” speech of JFK

B.  “The Platters were singing ‘Each day I pray for evening just to be with you,’ and then it started to happen.  The pump turns on in ecstasy.  I closed my eyes, I held her with my eyes closed and went into her that way, that way you do, shaking all over, hearing the heel of my shoe drumming against the driver’s-side door in a spastic tattoo, thinking that I could do this even if I was dying, even if I was dying, even if I was dying; thinking also that it was information.  The pump turns on in ecstasy, the cards fall where they fall, the world never misses a beat, the queen hides, the queen is found, and it was all information.”

— Stephen King, Hearts in Atlantis, August 2000 Pocket Books paperback, page 437

C.  “I will show you, he thought, the war for us to die in, lady.  Sully your kind suffering child’s eyes with it.  Live burials beside slow rivers.  A pile of ears for a pile of arms.  The crisps of North Vietnamese drivers chained to their burned trucks…. Why, he wondered, is she smiling at me?”

— Robert Stone, A Flag for Sunrise,  Knopf hardcover, 1981, page 299

Thursday, June 3, 2004

Thursday June 3, 2004

Filed under: General — Tags: — m759 @ 3:17 pm

STAR WARS
Continued…

Today’s New York Times story on Richard Helms, together with my reminiscences in the entry that follows it below, suggest the following possibility for symbol-mongering:

Compare the 16-point star of the C.I.A.
with the classic 8-point star of Venus:

From today’s New York Times:

The image “http://www.log24.com/log/pix04A/040603-Tenet.jpg” cannot be displayed, because it contains errors.

Not even the most powerful
can alter the alignment
of the stars.

In a related story….

The Good Bad Boy
By Alison Lurie

“Today, many people have the illusion that they know who Pinocchio is. They think that he is a wooden marionette who becomes a human boy; that he was swallowed by a huge fish; and that when he told lies his nose grew longer. These people are right, but often in a very limited way. They know Pinocchio only from the sentimentalized and simplified Disney cartoon, or the condensed versions of his story that are thought more suitable for children. The original novel by Carlo Collodi, which today survives mainly in scholarly editions, is much longer, far more complex and interesting, and also much darker.”

The New York Review of Books, June 24, 2004

 

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