Log24

Thursday, March 2, 2017

Midnight in the Garden

Filed under: General — Tags: — m759 @ 12:00 AM

(Continues, for Warren Beatty)

Howard Hughes in Spruce Goose

“A Passion that Kills,” by Markus Pierson (wood sculpture, 1988)

Wednesday, June 15, 2016

The Garden of Allah

Filed under: General — Tags: — m759 @ 10:00 PM

Continues .

From "The Back Page," Notices of the American Mathematical Society ,
June-July 2016 —

Related material:  Page 1 of Screenland , April 1923 —

Saturday, January 14, 2012

Derrida at Villanova

Filed under: General — Tags: — m759 @ 8:00 PM

"As Derrida said at Villanova,
"We wait for something we would not like to wait for.
That is another name for death."

— Brian D. Ingraffia, "Is the Postmodern Post-Secular?,"
p. 50 in Postmodern Philosophy and Christian Thought ,
ed. by Merold Westphal, Indiana University Press, 1999, pp. 44-68

See also Derrida at Villanova in this journal.

The link to Ingraffia's remarks was suggested by
this evening's New York Times  obituaries—

http://www.log24.com/log/pix12/120114-NYTobits-642PM.jpg

Friday, January 6, 2012

The Garden Path

Filed under: General — Tags: — m759 @ 4:01 AM

"Not all those who have sought to decode the symbolism of the Tarot pack
have been occultists; some have been serious scholars…."

— Michael Dummett, The Game of Tarot , Ch. 20

“Eliot by his own admission took the ‘still point of the turning world’
in Burnt Norton  from the Fool in Williams’s The Greater Trumps .”

Humphrey Carpenter, The Inklings , Ballantine Books, 1981, p. 106

From a talk on April 16, 2010, in Cuernavaca

http://www.log24.com/log/pix12/120106-UNAM-slide.jpg

Related material—

IMAGE- 'A Walk in the Noncommutative Garden'

See also The Martial Art of Giving Talks.

(Thanks to Lieven Le Bruyn for his Twelfth Night post on this topic.)

Saturday, October 24, 2020

The Galois Tesseract

Filed under: General — Tags: — m759 @ 9:32 AM

Stanley E. Payne and J. A. Thas in 1983* (previous post) —

“… a 4×4 grid together with
the affine lines on it is AG(2,4).”

Payne and Thas of course use their own definition
of affine lines on a grid.

Actually, a 4×4 grid together with the affine lines on it
is, viewed in a different way, not AG(2,4) but rather AG(4,2).

For AG(4,2) in the proper context, see
Affine Groups on Small Binary Spaces and
The Galois Tesseract.

* And 26 years later,  in 2009.

Grids

Filed under: General — Tags: — m759 @ 9:00 AM

Wikipedia on what has been called “the doily” —

“The smallest non-trivial generalized quadrangle
is GQ(2,2), whose representation* has been dubbed
‘the doilyby Stan Payne in 1973.”

A later publication relates the doily to grids.

From Finite Generalized Quadrangles , by Stanley E. Payne
and J. A. Thas, December 1983, at researchgate.net, pp. 81-82—

“Then the lines … define a 3×3 grid G  (i.e. a grid
consisting of 9 points and 6 lines).”
. . . .
“So we have shown that the grid G  can completed [sic ]
in a unique way to a grid with 8 lines and 16 points.”
. . . .
“A 4×4 grid defines a linear subspace
of  the 2−(64,4,1) design, i.e. a 4×4 grid
together with the affine lines on it is AG(2,4).”

A more graphic approach from this journal —

Seven is Heaven...

Click the image for further details.

* This wording implies that GQ(2,2) has a unique
visual representation. It does not. See inscape .

Friday, October 23, 2020

Language Game:  The Doily Curse

Filed under: General — Tags: — m759 @ 5:01 PM

“Quadrangle” is also a mathematical term.

Example: The Doily.

See also  The Crosswicks Curse .

Tuesday, October 20, 2020

The Browning Methods

Filed under: General — Tags: , — m759 @ 6:00 AM

The Ballad of Goo Ballou —
the Sequel to . . .

Let me count  the ways” is an appropriate request
for students of the discrete ,  as opposed to the
continuous , which instead requires measurement .

Related academic material —

Raymond Cattell on crystallized  vs. fluid  intelligence.
For a more literary approach, see Crystal and Dragon
and For Trevanian.

This post was inspired in part by
the American Sequel Society and . . .

Sunday, October 18, 2020

The Limits of Language

Filed under: General — Tags: — m759 @ 9:37 AM

Wittgenstein, Philosophical Investigations  118-119 —

118. Where does our investigation get its importance from,
since it seems only to destroy everything interesting,
that is, all that is great and important? (As it were all
the buildings, leaving behind only bits of stone and
rubble.) What we are destroying is nothing but
houses of cards  and we are clearing up the ground
of language on which they stand.
119. The results of philosophy are the uncovering of one
or another piece of plain nonsense and of bumps
that the understanding has got by running its head up against the limits of language. These bumps make us
see the value of the discovery.

Unfolded

Filed under: General — Tags: — m759 @ 5:10 AM

See “Unfolded.jpg” in this journal.  From that search —

Pentagon with pentagram    

Compare and contrast these figures with images by Wittgenstein in . . .

Wittgenstein's pentagram and 4x4 'counting-pattern'

Related material from last night’s post Modernist Cuts

Schlick also appears in recent posts tagged Moriarty Variations.

Saturday, October 17, 2020

Modernist Cuts

Filed under: General — Tags: , — m759 @ 10:05 PM

“The bond with reality is cut.”

— Hans Freudenthal, 1962

Indeed it is.

Related screenshot of a book review
from the November AMS Notices

“I Could a Tale …”

Filed under: General — Tags: — m759 @ 9:51 AM

Unfold

The Doily Man

Filed under: General — Tags: — m759 @ 12:06 AM

Monday, October 12, 2020

New Fields

Filed under: General — Tags: — m759 @ 12:12 PM

Old Fields

Filed under: General — Tags: — m759 @ 3:00 AM

Wednesday, October 7, 2020

Between Pyramid and Pentagon

Filed under: General — Tags: — m759 @ 12:34 AM

The 35 small squares between the pyramid and the pentagon
in the above search result illustrate the role of finite geometry
in the Miracle Octad Generator  of R. T. Curtis.

'Then a miracle occurs' cartoon

Cartoon by S. Harris

Tuesday, October 6, 2020

Only Connect :  Bulk Apperception* Continues.

Filed under: General — Tags: , — m759 @ 11:49 AM

The above Vanity Fair  article was republished on the Web by VF
on September 3, 2013.  See also this  journal on that date.

Related religious remarks —

* “Bulk apperception” is a phrase from Westworld. See Log24 notes.

Sunday, September 27, 2020

Remarks on Gordon Baker’s Death Day*

Filed under: General — Tags: , — m759 @ 12:59 PM

* Baker was a writer on philosophy.
See a memorial by the Harvard Class of 1960.

Narratives

Filed under: General — Tags: , — m759 @ 2:00 AM

Gleaming the Cube

Filed under: General — Tags: , — m759 @ 1:30 AM

From a search in this journal for “Paradise of Childhood” —

Page from 'The Paradise of Childhood,' 1906 edition

Thursday, September 24, 2020

The Seventh Function

Filed under: General — Tags: — m759 @ 7:30 PM

But did you find the ‘Antebellum’ hatchet? 

Wednesday, September 23, 2020

Geometry of Even Subsets

Filed under: General — Tags: , — m759 @ 12:06 AM

Various posts here on the geometry underlying the Mathieu group M24
are now tagged with the phrase “Geometry of Even Subsets.”

For example, a post with this diagram . . .

Tuesday, September 22, 2020

Vanity Fair Cover Girl

Filed under: General — Tags: , , — m759 @ 11:15 AM

Elle Fanning recently played Catherine the Great.

Starring J. J. Abrams as Leonhard Euler?

Autumn Equinox at the Temple of Art

Filed under: General — Tags: , — m759 @ 9:29 AM

Detail of illustration by Frederick Alfred Rhead of Vanity Fair,
page 96 in the John Bunyan classic Pilgrim’s Progress
(New York, The Century Co., 1912)

Thursday, September 17, 2020

Structure and Mutability . . .

Filed under: General — Tags: , , — m759 @ 9:51 PM

Continues in The New York Times :

“One day — ‘I don’t know exactly why,’ he writes — he tried to
put together eight cubes so that they could stick together but
also move around, exchanging places. He made the cubes out
of wood, then drilled a hole in the corners of the cubes to link
them together. The object quickly fell apart.

Many iterations later, Rubik figured out the unique design
that allowed him to build something paradoxical:
a solid, static object that is also fluid….” — Alexandra Alter

Another such object: the eightfold cube .

Wednesday, September 9, 2020

Portrait with Holocron

Filed under: General — Tags: , , — m759 @ 11:08 PM

Novus Ordo Seclorum — Harold Bloom and the Tetrahedral Model of PG(3,2)

Sith Holocron in 'Star Wars Rebels'

For a Jedi  holocron of sorts, see this  journal on the above YouTube date

Monday, September 7, 2020

A Discovery of Species

Filed under: General — Tags: — m759 @ 2:20 PM

From the subtitles to “A Discovery of Witches,”
Season 1, Episode 2 —

An actor playing a contemporary (2018) fictional Oxford professor —

378
00:35:54,235 –> 00:35:56,593
We’re among hundreds of laboratories
using genetics

379
00:35:56,595 –> 00:35:59,713
to study species origin,
but in our lab

380
00:35:59,715 –> 00:36:02,315
humans aren’t the only species
we’re studying.

An earlier non-fictional Oxford student  writes —

Related material:  Other posts tagged Structure and Mutability.

Saturday, September 5, 2020

Ikonologie des Zwischenraums

Filed under: General — Tags: — m759 @ 11:28 AM

The title is from a Cornell page in the previous post.

Related material (click to enlarge) —

The above remarks on primitive mentality suggest
a review of Snakes on a Plane.

Friday, September 4, 2020

Force Field of Dreams

Filed under: General — Tags: — m759 @ 2:21 PM

(Continued from September 22, 2002.)

“As you read, watch for patterns. Pay special attention to
imagery that is geometric….” — “Pattern in The Defense

See as well Wednesday’s Smile,  and “Expanding the Spielraum .

Thursday, September 3, 2020

LA Stories

Filed under: General — Tags: — m759 @ 11:22 PM

Recreation of a 1960s LA marquee in “Once Upon a Time in Hollywood” —

But seriously . . .

See also a “Once-Upon-a-Time”-related death.

Wednesday, September 2, 2020

Smile.

Filed under: General — Tags: — m759 @ 10:31 PM

https://www.shutterstock.com/editorial/image-editorial/various-film-stills-390863md

Monday, August 31, 2020

Hollywood Logic

Filed under: General — Tags: — m759 @ 8:19 PM

See as well a recent post in memory of “Chariots of Fire” actor Ben Cross.

From  a Chrome Browser announcement  today

Compare and contrast  “The Ghost and the Darkness” (Constellation, 1996)
and the new film “Rogue” (Lionsgate, 2020).

“Elijah?… Elijah?!” — Megan Fox in “Rogue” (00:41:47)

Ars Gratia Artis — MGM.

How Deep the Darkness*

Filed under: General — Tags: — m759 @ 11:51 AM

http://www.log24.com/log/pix08/080413-Marabar.jpg

* See the title phrase in this journal.

Saturday, August 29, 2020

Shadowlands

Filed under: General — Tags: — m759 @ 1:46 PM

“What have they done to my song?”. . . C. S. Lewis might ask.

To Wakanda

Filed under: General — Tags: — m759 @ 4:30 AM

      Update of 5:01 PM ET the same day

Thursday, August 27, 2020

The Complete Extended Binary Golay Code

Filed under: General — Tags: — m759 @ 12:21 PM

All 4096 vectors in the code are at . . .

http://neilsloane.com/oadir/oa.4096.12.2.7.txt.

Sloane’s list* contains the 12 generating vectors
listed in 2011 by Adlam —

As noted by Conway in Sphere Packings, Lattices and Groups ,
these 4096 vectors, constructed lexicographically, are exactly
the same vectors produced by using the Conway-Sloane version
of the Curtis Miracle Octad Generator (MOG). Conway says this
lexico-MOG equivalence was first discovered by M. J. T. Guy.

(Of course, any  permutation of the 24 columns above produces
a version of the code qua  code. But because the lexicographic and
the MOG constructions yield the same result, that result is in
some sense canonical.)

See my post of July 13, 2020 —

The lexicographic Golay code
contains, embedded within it,
the Miracle Octad Generator.

For some related results, Google the twelfth generator:

* Sloane’s list is of the codewords as the rows of  an orthogonal array

See also http://neilsloane.com/oadir/.

Acid Snark

Filed under: General — Tags: — m759 @ 2:00 AM

Another historical quote: “Don’t take the Brown acid.”

Tuesday, August 25, 2020

Gail Sheehy and the Source

Filed under: General — Tags: — m759 @ 3:45 PM

Sheehy reportedly died on Monday, August 24, 2020.

YouTube has the Vermont speech:

From this  journal on that date

From 'The Politics of Experience,' by R.D. Laing

Summary:  “Turn on, tune in, drop dead.

Saturday, August 15, 2020

Hidden Figures Matter

Filed under: General — Tags: — m759 @ 3:00 PM

“Don’t forget the portcullis, Dutch Boy!”

Lives of the Painters: Dutch Boy

Filed under: General — Tags: — m759 @ 2:32 PM

Harry decides his chief peacetime duty is to use his
gift for gab to further his ‘overriding purpose,’ namely:
By recalling the past and freezing the present he could
open the gates of time and through them see all
allegedly sequential things as a single masterwork
with neither boundaries nor divisions.’ Once he opens
these gates, Harry will flood his audience with his
redemptive epiphanic impression that ‘the world was
saturated with love.’ ”

— Liesl Schillinger, review of Mark Helprin’s novel
In Sunlight and in Shadow  in The New York Times ,
Oct. 5, 2012

Friday, August 14, 2020

Devoutly Wished

Filed under: General — Tags: — m759 @ 1:10 PM

Saturday, August 8, 2020

Bullshit Studies

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

In memory of Wilford Brimley:

“The polymorphic Thing, capable of absorbing the human
as but one among other morphological possibilities in its
seemingly infinite repertoire, can be understood, that is,
as the embodiment of evolution.”

— Eric White,  Science Fiction Studies  #61  (Vol. 20, Part 3, Nov. 1993),
The Erotics of Becoming: XENOGENESIS and The Thing

A Natural Diagram

Filed under: General — Tags: , — m759 @ 7:54 PM

See also other posts now tagged
       Natural Diagram .

Related remarks by J. H. Conway

Thursday, August 6, 2020

Structure and Mutability . . .

Filed under: General — Tags: , — m759 @ 8:33 PM

Continues.

See a Log24 search for Beadgame Space.

This  post might be regarded as a sort of “checked cell”
for the above concepts listed as tags . . .

Related material from a Log24 search for Structuralism

IMAGE- Stella Octangula and Claude Levi-Strauss

Saturday, August 1, 2020

A Cross for von Sydow

Filed under: General — Tags: — m759 @ 9:59 AM

See also Joseph Malkevitch’s memorial essay on Richard K. Guy,
who reportedly died on March 9, 2020, and Log24 on that date.

Thursday, July 30, 2020

A Picture Show for Quanta Magazine

Filed under: General — Tags: , , , — m759 @ 8:33 AM

An article yesterday at Quanta Magazine  suggests a review . . .

From Diamond Theorem  images at Pinterest —

Some background —

Wednesday, July 22, 2020

Card

Filed under: General — Tags: , — m759 @ 2:48 AM

“The pattern of the thing precedes the thing.
I fill in the gaps of the crossword at any spot
I happen to choose. These bits I write on
index cards until the novel is done.”

— Vladimir Nabokov, interview,
Paris Review  No. 41 (Summer-Fall 1967).

Another story

Related material:  Mathematics as a Black Art.

Friday, July 17, 2020

Poetic as Well as Prosaic

Filed under: General — Tags: , — m759 @ 9:51 AM

Prosaic —

Structure and Mutability

Poetic —

Crystal and Dragon

 

Prosaic —

These devices may have some
theoretical as well as practical value.

Poetic —

Counting symmetries with the orbit-stabilizer theorem

Theoretical as Well as Practical Value

Filed under: General — Tags: , , — m759 @ 12:25 AM

See also The Lexicographic Octad Generator (LOG) (July 13, 2020)
and Octads and Geometry (April 23, 2020).

Monday, July 13, 2020

The Lexicographic Octad Generator (LOG)*

Filed under: General — Tags: , , — m759 @ 5:43 PM

The lexicographic Golay code
contains, embedded within it,
the Miracle Octad Generator.

By Steven H. Cullinane, July 13, 2020

Background —


The Miracle Octad Generator (MOG)

of R. T. Curtis (Conway-Sloane version) —

A basis for the Golay code, excerpted from a version of
the code generated in lexicographic order, in

Constructing the Extended Binary Golay Code
Ben Adlam
Harvard University
August 9, 2011:

000000000000000011111111
000000000000111100001111
000000000011001100110011
000000000101010101010101
000000001001011001101001
000000110000001101010110
000001010000010101100011
000010010000011000111010
000100010001000101111000
001000010001001000011101
010000010001010001001110
100000010001011100100100

Below, each vector above has been reordered within
a 4×6 array, by Steven H. Cullinane, to form twelve
independent Miracle Octad Generator  vectors
(as in the Conway-Sloane SPLAG version above, in
which Curtis’s earlier heavy bricks are reflected in
their vertical axes) —

01 02 03 04 05 . . . 20 21 22 23 24 -->

01 05 09 13 17 21
02 06 10 14 18 22
03 07 11 15 19 23
04 08 12 16 20 24

0000 0000 0000 0000 1111 1111 -->

0000 11
0000 11
0000 11
0000 11 as in the MOG.

0000 0000 0000 1111 0000 1111 -->

0001 01
0001 01
0001 01
0001 01 as in the MOG.

0000 0000 0011 0011 0011 0011 -->

0000 00
0000 00
0011 11
0011 11 as in the MOG.

0000 0000 0101 0101 0101 0101 -->

0000 00
0011 11
0000 00
0011 11 as in the MOG.

0000 0000 1001 0110 0110 1001 -->

0010 01
0001 10
0001 10
0010 01 as in the MOG.

0000 0011 0000 0011 0101 0110 -->

0000 00
0000 11
0101 01
0101 10 as in the MOG.

0000 0101 0000 0101 0110 0011 -->

0000 00
0101 10
0000 11
0101 01 as in the MOG.

0000 1001 0000 0110 0011 1010 -->

0100 01
0001 00
0001 11
0100 10 as in the MOG.

0001 0001 0001 0001 0111 1000 -->

0000 01
0000 10
0000 10
1111 10 as in the MOG.

0010 0001 0001 0010 0001 1101 -->

0000 01
0000 01
1001 00
0110 11 as in the MOG.

0100 0001 0001 0100 0100 1110 -->

0000 01
1001 11
0000 01
0110 00 as in the MOG.

1000 0001 0001 0111 0010 0100 -->

10 00 00
00 01 01
00 01 10
01 11 00 as in the MOG (heavy brick at center).

Update at 7:41 PM ET the same day
A check of SPLAG shows that the above result is not new:

And at 7:59 PM ET the same day
Conway seems to be saying that at some unspecified point in the past,
M.J.T. Guy, examining the lexicographic Golay code,  found (as I just did)
that weight-8 lexicographic Golay codewords, when arranged naturally
in 4×6 arrays, yield certain intriguing visual patterns. If the MOG existed
at the time of his discovery, he would have identified these patterns as
those of the MOG.  (Lexicographic codes have apparently been
known since 1960, the MOG since the mid-1970s.)

* Addendum at 4 AM ET  the next day
See also Logline  (Walpurgisnacht 2013).

Saturday, July 11, 2020

Raiders of the Lost Arkenstone

Filed under: General — Tags: — m759 @ 6:25 PM

See also the previous post and the Red Books of May 30.

Philosophy for Murdoch Fans

Filed under: General — Tags: — m759 @ 5:03 AM

The previous post contained a passage from Iris Murdoch’s
1961 essayAgainst Dryness.”  Some related philosophy

'Crystal and Dragon' by David Wade, publisher's description

For those who prefer pure mathematics to philosophical ruminations
there are some relevant remarks in my webpage of August 27, 2003.

Thursday, July 9, 2020

Fashion Space

Filed under: General — Tags: — m759 @ 7:59 PM

In memoriam

Click the quotation below for “Foster’s Space” posts.

Quote related to the 'Crystal and Dragon' concept.

The Enigma Glyphs

Filed under: General — Tags: , , — m759 @ 5:53 AM

IMAGE- The Diamond Theorem

For those who  prefer fiction —

Twenty-four glyphs, each one representing not a letter, not a word,
but a concept, arranged into four groups, written in Boris’s own hand,
an artifact that seemed to have resurrected him from the dead. It was
as if he were sitting across from Bourne now, in the dim antiquity of
the museum library.

This was what Bourne was staring at now, written on the unfolded
bit of onionskin.”

— “Robert Ludlum’s”  The Bourne Enigma , published on June 21, 2016

Passing, on June 21, 2016, into a higher dimension —

Sunday, July 5, 2020

It’s Still the Same Old Story

Filed under: General — Tags: , , — m759 @ 4:29 PM

“He recounted the story of Adam and Eve, who were banished
from paradise because of their curiosity. Their inability to resist
the temptation of the forbidden fruit. Which itself was a metaphorical
stand-in for knowledge and power. He urged us to find the restraint
needed to resist the temptation of the cube—the biblical apple
in modern garb. He urged us to remain in Eden until we were able
to work out the knowledge the apple offered, all by ourselves.”

— Richards, Douglas E.. The Enigma Cube  (Alien Artifact Book 1)
(pp. 160-161). Paragon Press, 2020. Kindle Edition.

The biblical apple also appears in the game, and film, Assassin’s Creed .

Related material —

See the cartoon version of Alfred North Whitehead in the previous post,
and some Whitehead-related projective geometry

Tuesday, June 30, 2020

Classics of Jewish Humor —

Filed under: General — Tags: — m759 @ 7:07 PM

The Polish starlet joke

Related material — Costume design for New Year’s Eve.

“Show me all  the blueprints.” —  attributed to Howard Hughes.

The Social Network

Filed under: General — Tags: , , , — m759 @ 5:27 PM

Writer Robert Avrech on director Brian De Palma —

“Both Brian and I greatly admire Alfred Hitchcock so we were
pretty much on the same page aesthetically. That’s how I came
to write Body Double , a superb thriller that immediately thrust
me into the Hollywood limelight.”

— https://www.opednews.com/populum/page.php?
f=Behind-the-Scenes-with-Hol-by-Joan-Brunwasser-
American-Jews_Hollywood_Interviews_Judaism-Jewish-
131219-897.html

 

Monday, June 29, 2020

The Same Page

Filed under: General — Tags: , — m759 @ 4:54 PM

Writer Robert Avrech on director Brian De Palma —

“Both Brian and I greatly admire Alfred Hitchcock so we were
pretty much on the same page aesthetically. That’s how I came
to write Body Double , a superb thriller that immediately thrust
me into the Hollywood limelight.”

— https://www.opednews.com/populum/page.php?
f=Behind-the-Scenes-with-Hol-by-Joan-Brunwasser-
American-Jews_Hollywood_Interviews_Judaism-Jewish-
131219-897.html

See also Avrech in this  journal —

Dark Comedy

Filed under: General — Tags: — m759 @ 2:42 AM

“There are dark comedies. There are screwball comedies.
But there aren’t many dark screwball comedies.
And if Nora Ephron’s Lucky Numbers  is any indication,
there’s a good reason for that.”

— Todd AnthonySouth Florida Sun-Sentinel 

Perhaps another indication — De Palma’s  Body Double .

“Like a rose under the April snow . . . .” — Streisand

The De Palma Balcony

Filed under: General — Tags: , , — m759 @ 1:44 AM

The Demolished Man  was a novel that had fascinated De Palma
since the late 1950s and appealed to his background in mathematics
and avant-garde storytelling. Its unconventional unfolding of plot
(exemplified in its mathematical layout of dialogue) and its stress on
perception have analogs in De Palma’s filmmaking.”  — Wikipedia

This, together with the Cuernavaca balcony in Deschooling MIT, is
perhaps enough of a clue for mystified theologians on St. Peter’s Day.

Sunday, June 28, 2020

From MOM back to WOW —

Filed under: General — Tags: — m759 @ 11:55 PM

Wild Thing.

Mystic Cristal Revelation

Filed under: General — Tags: — m759 @ 11:26 PM

In memory of actress Linda Cristal — The New York Times  today —

“After a modest film career, followed by guest roles on television,
Ms. Cristal auditioned for ‘The High Chaparral,’ a western
developed by David Dortort, the creator and producer of ‘Bonanza.’
In her telling, it was a memorable occasion.”

Judy Carne and Hoss in NBC’s “Bonanza,”  a nemesis of
CBS Sunday programming.

The New York Times  on “Bonanza” in 2010

“Mr. Dortort oversaw production of the show for most of its run. In addition
to telling stories based on historical events involving the Comstock Lode and
the oncoming Civil War, the show dealt with themes like racial prejudice and
religious tolerance. Mostly, though, its drama, and its popularity, were because
of its focus on the Cartwrights and their tightknit bond.

‘What is the message?’ Mr. Dortort said. ‘Love is the message.’

David Solomon Katz was born in Brooklyn to Jewish immigrant parents from
Eastern Europe on Oct. 23, 1916, and grew up in a neighborhood famous for
the gangsters of Murder Inc. …”

Jazz for Fosse: The Quotation Dance

Filed under: General — Tags: — m759 @ 9:54 PM

Friday, June 26, 2020

Compare and Contrast

Filed under: General — Tags: — m759 @ 5:11 PM

Compare and contrast —

Roz Chast's Math Cliff

Persons and Operators and Things

Filed under: General — Tags: , — m759 @ 4:13 PM
Harvard University Press on a book,
Persons and Things,
it published on March 31, 2010

Moving effortlessly between symbolist poetry and Barbie dolls, artificial intelligence and Kleist, Kant, and Winnicott, Barbara Johnson not only clarifies psychological and social dynamics; she also re-dramatizes the work of important tropes—without ever losing sight of the ethical imperative with which she begins: the need to treat persons as persons. In Persons and Things , Johnson turns deconstruction around to make a fundamental contribution to the new aesthetics. She begins with

the most elementary thing we know:
deconstruction calls attention to
gaps

and reveals that their claims upon us are fraudulent. Johnson revolutionizes the method by showing that the inanimate thing exposed as a delusion is central to fantasy life, that fantasy life, however deluded, should be taken seriously, and that although a work of art “is formed around something missing,” this “void is its vanishing point, not its essence.” She shows deftly and delicately that the void inside Keats’s urn, Heidegger’s jug, or Wallace Stevens’s jar forms the center around which we tend to organize our worlds.

The new aesthetics should restore fluidities between persons and things. In pursuing it, Johnson calls upon Ovid, Keats, Poe, Plath, and others who have inhabited this in-between space. The entire process operates via a subtlety that only a critic of Johnson’s caliber could reveal to us.

I prefer the more straightforward insanity of  Operators and Things .

Barbara Johnson reportedly died on Aug. 27, 2009.  See that date
in other posts now tagged Autistic Enchantment. (That phrase is
the sort of sneering tag one may expect from deplorable academics.)

Tuesday, June 23, 2020

Serious Numbers

Filed under: General — Tags: — m759 @ 3:01 PM

Monday, June 22, 2020

Serious Leary

Filed under: General — Tags: — m759 @ 2:55 PM

The director of the 2007 film “The Number 23reportedly died today.
In his memory — An image that appeared in the Leary link of last night’s
post on “a combination of Kafka and Joyce, with a touch of Orwell” —

The Long Hello…

Filed under: General — Tags: — m759 @ 1:51 AM

Continues.

“In July, 1960, having just received a doctorate from Harvard
and a research and training fellowship from the National Institute
of Mental Health, I drove, together with my wife, Sandylee,
from Cambridge, Massachusetts to Cuernavaca, Mexico.”

Michael Maccoby, June 26, 2014

This is the Michael Maccoby of . . .

First published, with a less lurid cover,  in 1958 by Arlington Books
of Cambridge, Mass.

What appears to be that 1958 edition, with the Maccoby introduction,
is available as a PDF —

http://paragoninspects.com/articles/pdfs/temp/operators_and_things.pdf .

Some Harvard-related material — See Leary and 6 Prescott .

Sunday, June 21, 2020

Equals

Filed under: General — Tags: — m759 @ 7:07 PM

A love story of epicepicepic proportion” — Kristen Stewart on “Equals

“Some things are more equal than others.” — Adapted from Orwell

Wednesday, June 3, 2020

Lynchburg Law Continues.

Filed under: General — Tags: — m759 @ 4:45 PM

Flashback to November 22, 2004

Charles Williams  on the
Salem witchcraft trials:

“The afflicted children continued to testify; there entered into the cases
what was called ‘spectral evidence,’ a declaration by the witness that
he or she could see that else invisible shape before them, perhaps hurting them.
It was a very ancient tendency of witnesses, and it had occurred at a number of
trials in Europe.”

— Witchcraft , Meridian Books, Inc., New York,
1959 (first published 1941), page 281

Charles Williams, 'Witchcraft'

The Ghost Writer

Filed under: General — Tags: , , — m759 @ 3:14 PM

See also Litsky’s obituary from All Saints’ Day, 2018.

Litsky reportedly died on October 30, 2018 — Devil’s Night.

Theology for Jews

Filed under: General — Tags: , , — m759 @ 2:42 PM

See also Aloha.

But see as well . . .

Click to enlarge the above story by Paul Meyer, Dayton sports writer.

Tuesday, June 2, 2020

The Imperfect Storm*

Filed under: General — Tags: — m759 @ 10:36 AM

* Update at 10:45 AM EDT —

A title check yields a comedian’s book.

I  prefer Wallace Stevens . . .
See Thunderstorms of Yucatan.

Stormy, Jack.  Jack, Stormy .

Thursday, May 28, 2020

Unity Game

Filed under: General — Tags: , , — m759 @ 11:59 PM

“Old men ought to be explorers.” — T. S. Eliot

Everybody’s lost but me!” — Young Indiana Jones, quoted
in a book review (“Knox Peden on Martin Hägglund”) in
Sydney Review of Books  on May 26 . . .

” Here I am reminded of the words of
the young Indiana Jones alone in the desert,
decades before the Last Crusade:
Everybody’s lost but me.’ “

 Related remarks — Now You See It, Now You Don’t.

Finite Geometry at GitHub

Filed under: General — Tags: , , — m759 @ 5:04 PM

My website on finite geometry is now available
on GitHub at http://m759.github.io/ . The part
of greatest interest to coders is also at
https://repl.it/@m759/View-4x4x4#index.html .

Wednesday, May 20, 2020

Scholarly History

Filed under: General — Tags: — m759 @ 10:39 PM

On “emergence, institutionalization and (importantly) legitimation …
(with its resource allocation system and authority structure)” —

“It’s still the same old story.” — Song lyric

See as well other posts now tagged Raiding Minsky’s.

Something to Look At

Filed under: General — Tags: , — m759 @ 4:24 PM

Stephen Ornes in Quanta Magazine  today

ARTIFICIAL INTELLIGENCE:
Symbolic Mathematics Finally Yields to Neural Networks

“Another possible direction for the neural net to explore
is the development of automated theorem generators.
Mathematicians are increasingly investigating ways to
use AI to generate new theorems and proofs, though
‘the state of the art has not made a lot of progress,’
Lample said.  ‘It’s something we’re looking at.’ “

As is Stephanie Dick.

Mathematics as a Black Art

Filed under: General — Tags: , , — m759 @ 11:34 AM

Sunday, May 17, 2020

Gran Torino

Filed under: General — Tags: — m759 @ 3:55 PM

Source citation for an article quoted here last night

Hegel’s Conceptual Group Action —

A check of that source yields the seal of the University of Torino —

Related material —

Saturday, May 16, 2020

Bullshit Studies

Filed under: General — Tags: , — m759 @ 11:59 PM

From https://www.mathunion.org/outreach/logos/versions-all-logos

Click the logo for some IMU history.

Related bullshit —

Hegel’s Conceptual Group Action

Click the banner below for the background of the logo

Monday, May 11, 2020

Nietzsche for Comedians

Filed under: General — Tags: — m759 @ 9:33 AM

See also Shangri-La  and  “At the Back of the North Wind .”

Update from the Times —

Some things that happen for the first time….” — Song lyric

Sunday, May 10, 2020

Plato Again Thanks the Academy

Filed under: General — Tags: — m759 @ 10:41 PM

I prefer  The Pride of Lowell —

IMAGE- Scenes from 'The Fighter'- Amy Adams, Christian Bale

Some literary background— Doctor Sax.

Deschooling* M.I.T.

Filed under: General — Tags: , , — m759 @ 1:29 PM

New York Times  opinion yesterday from a professor at M.I.T.

* For some background on Deschooling, see (for instance) . . .

Thursday, May 7, 2020

Now You See It, Now You Don’t

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

“Mathematics may be art, but to the general public it is
a black art, more akin to magic and mystery. This presents
a constant challenge to the mathematical community: to explain
how art fits into our subject and what we mean by beauty.”

— Sir Michael Atiyahquoted here on April 4, 2016

 

Illustrations, from the American Mathematical Society Spring
2020 book sale, of a book scheduled to be published May 28.

Friday, May 1, 2020

The H-State

Filed under: General — Tags: , , , — m759 @ 9:27 PM

Related pure mathematics —

The Escape from Plato’s Cave to . . .

See also Numberland and Walpurgisnacht Geometry.

Bullshit Studies

Filed under: General — Tags: , , , — m759 @ 2:55 PM

The following passage is from Amanda Gefter’s  Trespassing
on Einstein’s Lawn  (Bantam Books, 2014).

You know the story of Plato’s cave?” my father asked. “All the prisoners are chained up in the cave and they can’t see the real world outside, only the shadows on the wall? That’s supposed to be a negative thing, like they’ll never know reality. But the truth is, you have to be stuck inside a limited reference frame for there to be any reality at all! If you weren’t chained to your light cone, you’d see nothing. The H-state.”

I nodded. “You’d have no information. You need the broken symmetry, the shadow, to have information and information gives rise to the world. It from bit.”

I couldn’t help but grin with excitement. The message was clear: having a finite frame of reference creates the illusion of a world, but even the reference frame itself is an illusion. Observers create reality, but observers aren’t real. There is nothing ontologically distinct about an observer, because you can always find a frame in which that observer disappears: the frame of the frame itself, the boundary of the boundary.

“If physicists discover an invariant someday, the game will be up,” my father mused. “That would rule out the hypothesis that the universe is really nothing.”

That was true. But so far, at least, every last invariant had gone the way of space and time, rendered relative and observer-dependent. Spacetime, gravity, electromagnetism, the nuclear forces, mass, energy, momentum, angular momentum, charge, dimensions, particles, fields, the vacuum, strings, the universe, the multiverse, the speed of light— one by one they had been downgraded to illusion. As the surface appearance of reality fell away, only one thing remained. Nothing.

My path to Gefter’s father’s musing led from a quotation attributed,
probably falsely, to John Archibald Wheeler on page 52 of Octavio
Paz’s  Claude Lévi-Strauss: An Introduction  (Cornell, 1970)

“There is a point at which

‘something is nothing and nothing is something.’

The quote may actually be by AP writer John Barbour reporting
on a 1967 American Physical Society talk by Wheeler, “The End
of Time.”

Gefter mentions Wheeler 369 times:

See as well Introduction to Quantum Woo.

Wednesday, April 29, 2020

Curtis at Pilsen, Thursday, July 5, 2018

Filed under: General — Tags: , — m759 @ 11:48 AM

For an account by R. T. Curtis of how he discovered the Miracle Octad Generator,
see slides by Curtis, “Graphs and Groups,” from his talk on July 5, 2018, at the
Pilsen conference on algebraic graph theory, “Symmetry vs. Regularity: The first
50 years since Weisfeiler-Leman stabilization” (WL2018).

See also “Notes to Robert Curtis’s presentation at WL2018,by R. T. Curtis.

Meanwhile, here  on July 5, 2018

Simultaneous perspective does not look upon language as a path because it is not the search for meaning that orients it. Poetry does not attempt to discover what there is at the end of the road; it conceives of the text as a series of transparent strata within which the various parts—the different verbal and semantic currents—produce momentary configurations as they intertwine or break apart, as they reflect each other or efface each other. Poetry contemplates itself, fuses with itself, and obliterates itself in the crystallizations of language. Apparitions, metamorphoses, volatilizations, precipitations of presences. These configurations are crystallized time: although they are perpetually in motion, they always point to the same hour—the hour of change. Each one of them contains all the others, each one is inside the others: change is only the oft-repeated and ever-different metaphor of identity.

— Paz, Octavio. The Monkey Grammarian
(Kindle Locations 1185-1191).
Arcade Publishing. Kindle Edition.

The 2018 Log24 post containing the above Paz quote goes on to quote
remarks by Lévi-Strauss. Paz’s phrase “series of transparent strata”
suggests a review of other remarks by Lévi-Strauss in the 2016 post
Key to  All Mythologies.

Sunday, April 19, 2020

Easter Egg for Wittgenstein

Filed under: General — Tags: — m759 @ 1:24 PM

A language game on Orthodox Easter —

See also Geometric Theology and Trinity Staircase.

Friday, April 17, 2020

A Mechanism of Fission

Filed under: General — Tags: , — m759 @ 3:01 PM

The above title was suggested by the previous post, Explosive Remarks.

'On Froebel's Third Gift,' from 'Paradise of Childhood,' 1906

Explosive Remarks

Filed under: General — Tags: — m759 @ 2:15 PM

Here is the background to Wheeler’s explosive remarks.

John Archibald Wheeler, director of the Center
for Theoretical Physics at the University of Texas,
is one of the world’s top theoretical physicists.
In 1939 he and Niels Bohr published a paper on
‘The Mechanism of Nuclear Fission”
that laid the groundwork for atomic and hydrogen bombs.
Wheeler later played major roles in their development.”

For a rather different explosion of Wheeler’s views, see the previous post.

Introduction to Quantum Woo

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

“In his big book, Gravity  [sic ], Wheeler puts our space
into what he calls superspace, and speculates on the
most basic physical laws which operate on superspace.
He comes to the (to me) surprising conclusion that the
rock-bottom laws are the laws of the propositional calculus!”

— Martin Gardner, letter to Donald E. Knuth, 8 January 1976,
on cover of Notices of the American Mathematical Society ,
March 2011 issue.

Fact check —

Related reading —

Sunday, April 5, 2020

Plan 9 from The New York Times

Filed under: General — Tags: — m759 @ 12:02 PM

Click the image above for a tweet on the advertised IQ test.

Click the image below for the tweet’s details of the IQ test’s billing plan.

The Ghost in the Shell

Filed under: General — Tags: — m759 @ 10:57 AM

Wednesday, April 1, 2020

The Ghost

Filed under: General — Tags: — m759 @ 2:10 PM

Related material —

Sunday’s Plan 9 from Yale  as well as

http://www.arcadiainstitution.org/?page_id=16  and

https://www.flickr.com/photos/lselibrary/4114751310/in/photolist-7gBbd7.

Sunday, March 29, 2020

Metatextuality at Yale

Filed under: General — Tags: — m759 @ 5:37 PM

See also this  journal on the date — February 19, 2009
of the above Ibsen opening, as well as today’s previous post.

Plan 9 from Yale

Filed under: General — Tags: — m759 @ 3:48 PM

Play ‘Stella by Starlight’ for Lady Macbeth” — Bob Dylan

Friday, March 27, 2020

Annals of Literature

Filed under: General — Tags: — m759 @ 7:58 AM

Recent posts now tagged Paycheck suggest . . .

Related material —

See too “The Bond with Reality” in posts tagged Voids.

The Lottery Midrash

Filed under: General — Tags: — m759 @ 6:55 AM

NY Lottery numbers, midday and evening, March 26, 2020

For yesterday’s midday 179, see interpellation.

For yesterday’s evening 376, see transparencies.

Thursday, March 26, 2020

Line for a National Comedy Center

Filed under: General — Tags: — m759 @ 9:05 AM

Log24 last Sunday:

Two years earlier —

Saturday Night Live on March 24, 2018 (a repeat) —

Related literature: The 1953 Philip K. Dick story
Paycheck” —

A punchline for Saoirse —

Manly, yes, but I like it too.”

Wednesday, March 25, 2020

Spectral Evidence

Filed under: General — Tags: — m759 @ 3:00 PM

See the recent post “On the Spectrum” and

See also The Matthias Defense.

Sunday in the Park

Filed under: General — Tags: — m759 @ 6:56 AM

Some notes suggested by recent posts now also tagged Three Days

Sporkin in 1975, according to his obituary in this morning’s print edition
of The New York Times

He reportedly died at 88 of natural causes on Monday, March 23.

Tuesday, March 24, 2020

No Ordinary Venue

Filed under: General — Tags: , — m759 @ 4:24 AM

See the above title in this journal.  See also the Paradiso in Amsterdam.

 

Sunday, March 22, 2020

Three Days of the Breakthrough Institute

Filed under: General — Tags: — m759 @ 7:58 PM

For the Institute itself, see a March 9 death.

Related drama — Three Days in this journal and . . .

Tuesday, March 17, 2020

Geometric Theology

Filed under: General — Tags: — m759 @ 12:00 AM

“Before time began” — Optimus Prime

IMAGE- The Trinity of Max Black (a 3-set, with its eight subsets arranged in a Hasse diagram that is also a cube)

See also posts tagged Aitchison.

 

Sunday, March 15, 2020

The “Octad Group”

Filed under: General — Tags: — m759 @ 4:17 PM

The phrase “octad group” discussed here in a post
of March 7 is now a domain name, “octad.group,”
that leads to that post. Remarks by Conway and
Sloane now quoted there indicate how the group
that I defined in 1979 is embedded in the large
Mathieu group M24.

Related literary notes — Watson + Embedding.

Saturday, March 14, 2020

Compare and Contrast.

Filed under: General — Tags: , , — m759 @ 9:38 PM

Logos —

See also Devs .

Possession

Filed under: General — Tags: — m759 @ 7:09 AM

Detail of Box Style I Ching: Hexagram 14.

Click the above image for details.

There was, however, a challenge by Cozzens himself:

Cozzens replies to Macdonald, March 1958

The apparent source:

 

Friday, March 13, 2020

Missa Brevis

Filed under: General — Tags: , — m759 @ 9:19 PM

In memory of a composer who reportedly died on Wednesday,
March 11, 2020 —

From a   synchronology  check

Wednesday, March 11, 2020

Hunger Game for a “Pop Culture Star”

Filed under: General — Tags: , , — m759 @ 9:46 PM

"A hunger to be more serious"

Arts & Letters Daily  on the late
    George Steiner, who reportedly
    died on February 3, 2020

The New York Times  on a Sunday death —

A Midrash —

Serious —

Elegy for a Language Animal

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

Visualizing Mathieu Group Generators

Filed under: General — Tags: — m759 @ 6:23 AM

Marston Conder's M24 generators are illustrated by Cullinane's diamond-theorem (2x2 case) figures.

Update of March 17, 2020 —

The graphic images illustrate nicely Conder's six 4-cycles, but
their relationship, if any, to his eight 2-cycles is a mystery

The Conder paper is at 
https://core.ac.uk/download/pdf/82622574.pdf.

 
 

Tuesday, March 10, 2020

Labeling a Cuboctahedron

Filed under: General — Tags: , , — m759 @ 12:01 PM

The above arrangement of graphic images on  cube faces is purely
decorative and static, and of  little mathematical interest. 

(A less static, but structurally chaotic, artifact might be made by
pasting the above 24 graphic images in the "Cosets in S4" picture
above onto the 24 faces of a 2x2x2 Rubik cube. This suggests the
reflection below on the poet Wallace Stevens, whose "Connoisseur
of Chaos" first appeared on page 90 of Twentieth Century Verse ,
Numbers 12-13, October 1938.)

If mathematically interesting  permutations of the graphic images
are to be done, the images should be imagined as situated on 
parallel  planes, as in the permutahedron below —

IMAGE- 'Permutahedron of Opposites'-- 24 graphic patterns arranged in space as 12 pairs of opposites

Click the above permutahedron for an analysis of its structure.

Monday, March 9, 2020

“Archimedes at Hiroshima” Continues.

Filed under: General — Tags: , , — m759 @ 7:34 PM

The title is from a post of January 10, 2019.

A figure from this journal on June 1, 2019

The following figure may help relate labelings of the
truncated octahedron (“permutahedron”) to labelings
of its fellow Archimedean solid, the cuboctahedron.

See as well other posts tagged Aitchison.

Max von Sydow

Filed under: General — Tags: , — m759 @ 9:08 AM

The Bucharest Wheel

Filed under: General — Tags: , — m759 @ 8:14 AM

From the Bucharest author in last night's 12:12 AM post

From this  journal on the above date, Feb. 16, 2011 —

The Bucharest Cross

Filed under: General — Tags: , , — m759 @ 12:12 AM

For fans of "The Zero Theorem" —

The 24 permutations of S4 arranged on a cube
by Cristi Stoica of Bucharest at
http://www.unitaryflow.com/2009/06/polyhedra-and-groups.html:

Sunday, March 8, 2020

A Tool

Filed under: General — Tags: — m759 @ 2:23 PM

Detail: 

Click on the above date for further details.

Wednesday, March 4, 2020

Architect’s Elegy

Filed under: General — Tags: , — m759 @ 2:31 PM

On Boston's Hancock Tower:

"I reflect that all art, all beauty, is reflection."

Fictional character by John Updike (July 1976)

The architect of the tower reportedly died Monday.

See as well "Reflections: Disturbing the Universe I"
by the late Freeman Dyson in The New Yorker
issue dated August 6, 1979.

A reflection I prefer:

Monday, March 2, 2020

The Alohomora Code

Filed under: General — Tags: — m759 @ 10:02 PM

Entertainment and More  Entertainment

Filed under: General — Tags: — m759 @ 2:33 PM

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