Log24

Sunday, January 21, 2018

Spiritual Memoir

Filed under: Uncategorized — m759 @ 9:09 AM

In her new spiritual memoir . . . .

Armies of the Night —

Armies of the Day —

Cole Porter —

Night and Day —

Saturday, January 20, 2018

Closed Set

Filed under: Uncategorized — m759 @ 10:00 AM

From "Charmed," a Log24 post of Jan. 13, 2018 :

'The World of A-bar' by A. E. van Vogt, first published as a serial in 1945

The Chaos Symbol of Dan Brown

Filed under: Uncategorized — m759 @ 1:30 AM

In the following passage, Dan Brown claims that an eight-ray star
with arrowheads at the rays' ends is "the mathematical symbol for
entropy."  Brown may have first encountered this symbol at a 
questionable "Sacred Science" website.  Wikipedia discusses
some even less  respectable uses of the symbol.

Related news —

Related symbolism —

http://www.log24.com/log/pix11/110219-SquareRootQuaternion.jpg

A star figure and the Galois quaternion.

The square root of the former is the latter.

Friday, January 19, 2018

The Pentagram Papers

Filed under: Uncategorized — Tags: — m759 @ 11:45 AM

(Continued)

Jodie Foster in  a Dec. 15, 2017, sketch  with Stephen Colbert —

"People invest in and take ownership of brands,
and they wonder why the brand didn’t
ask their permission to change."

— Michael Bierut of Pentagram Design
in  a Design Week  article  of Jan. 17, 2018

Details

Filed under: Uncategorized — Tags: — m759 @ 4:04 AM

Thursday, January 18, 2018

A Phrase That Might Have Been

Filed under: Uncategorized — m759 @ 5:12 PM

The online New York Times  reports this afternoon
the death of a production designer on January 9th —

"In addition to the two Oscars Mr. Marsh won
(which he shared with others), he was nominated
for two more: for 'Scrooge' (1970), with Albert Finney and
Alex [sic ] Guinness, and 'Mary, Queen of Scots' (1971),
with Vanessa Redgrave and Glenda Jackson."

" The Little Broomstick  by  Mary Stewart,
illustrated by Shirley Hughes, published Brockhampton 1971.
The story is about Mary, staying at Great-Aunt Charlotte's house,
bored until she meets the black cat Tib and finds the purple flower
fly-by-night that makes the little broomstick fly. In chapter 10
'gay go up and gay go down' Mary hides in Endor College,
the witch school, after hours and finds Tib transformed into a frog
(Madame Mumblechook had taken him from her as her entry fee).
She recites the Master Spell to release him. ' It was a simple,
gay little rhyme, and it ended on a phrase that might have been
(but wasn't) "the dancing ring of days".'  
"  

"Bah, humbug!" — A Christmas Carol

Wednesday, January 17, 2018

Language Game

Filed under: Uncategorized — m759 @ 11:30 AM

Continued from Zen and Language Games
(a post of May 2, 2003, written on March 1, 2002)

From The Harvard Crimson  on St. Andrew's Day 2017 —

See also a larger, clearer view of the titles in the above file photo.

Dialogue suggested by the above Harvard Crimson  line
"I am a book today . . . . I know it all." —

A problem child* of sorts in the 2017 film "Gifted"

Mary- "Maybe this school isn't as great as you think it is."

Mary is returned to the place of her examination.

Professor- "Mary, you knew that the problem was incorrect, 
            why didn't you say anything?"

Mary- "Frank says I'm not supposed to correct older people. 
       Nobody likes a smart-ass."

* "Problem Child" was a working title related to a novel
    Heinlein wrote in 1941, Beyond This Horizon —

“Before Time Began, There Was the Cube”

Filed under: Uncategorized — m759 @ 8:00 AM

See Eightfold Froebel.

The Paradise of Childhood'-- Froebel's Third Gift

At Heaven’s Gate

Filed under: Uncategorized — Tags: — m759 @ 7:30 AM

(Continued from September 12, 2005)

The previous post contrasted the number-triple 11-7-8 below
with number triples 12-9-5 and 12-5-9.

Magic cube and corresponding hexagram, or Star of David, with faces mapped to lines and edges mapped to points

A perhaps more logical counterpart of the triple 11-7-8, based
on opposite  locations of star-points or cube-edges, is
the triple 9-12-5. For a theological interpretation, see 9/12/05.

Tuesday, January 16, 2018

An Orison for Ha-Why

Filed under: Uncategorized — Tags: , — m759 @ 1:00 PM

'Cloud Atlas' book cover illustrating the film

Lines from characters played in the film by Tom Hanks and Halle Berry —

— Cloud Atlas , by David Mitchell (2004).

An orison of sorts from a post on Martin Scorsese's
birthday, Sunday, Nov. 18, 2007 —

BlackBerry with pictures from Log24

Displayed on the BlackBerry are parts
of Log24 posts from October 25, 2007,
and October 24, 2007.

Related pattern geometry 

From a Log24 search for Angleton + Brotherhood:
A photo of Angleton in a post from 12/9/5

The image “http://www.log24.com/log/pix05B/051209-Angleton.jpg” cannot be displayed, because it contains errors.

From a post of 11/7/8

http://www.log24.com/log/pix08A/081107-Tilespuzzle.jpg

A cryptic note for Dan Brown:

The above dates 11/7/8 and 12/9/5 correspond to the corner-labels
(read clockwise and counter-clockwise) of the two large triangles
in the Finkelstein Talisman

Magic cube and corresponding hexagram, or Star of David, with faces mapped to lines and edges mapped to points

Above: More symbology for Tom Hanks from
this morning's post The Pentagram Papers.

The above symbology is perhaps better suited to Hanks in his
role as Forrest Gump than in his current role as Ben Bradlee.

The image “http://www.log24.com/log/pix05B/051211-gump.jpg” cannot be displayed, because it contains errors.

For Hanks as Dan Brown's Harvard symbologist 
Robert Langdon, see the interpretation 12/5/9, rather
than 12/9/5, of the above triangle/cube-corner label.

A Moriarty for Sherlock

Filed under: Uncategorized — m759 @ 10:01 AM

The Pentagram Papers

Filed under: Uncategorized — Tags: — m759 @ 9:16 AM

Other intersection-points-counting material —

The Finkelstein Talisman:

Magic cube and corresponding hexagram, or Star of David, with faces mapped to lines and edges mapped to points

See also Hanks + Cube in this journal —

Robert Langdon (played by Tom Hanks) and a corner of Solomon's Cube.

Game

Filed under: Uncategorized — m759 @ 2:00 AM

"There was a game we used to play . . . ."

— The Cranberries on "Charmed,"
Season 2, Episode 5 (aired Nov.  4, 1999)

Monday, January 15, 2018

IT Strategy

Filed under: Uncategorized — m759 @ 1:06 PM

See also posts tagged Systems Programming.

Boston News

Filed under: Uncategorized — m759 @ 11:14 AM

Related material in this  journal —

The final link in a post of 8:07 AM ET on Friday, June 27, 2008, 
pointed to http://www.gateofheavenparish.com. That 2008 link
now leads to a more recent, quite different, webpage.

The page that the link led to in 2008 is now archived at
https://web.archive.org/web/20080509125920/
http://www.gateofheavenparish.com/
.

Sunday, January 14, 2018

Horizon

Filed under: Uncategorized — m759 @ 11:24 PM

"Wer gab uns den Schwamm, um den ganzen Horizont wegzuwischen?"

— Nietzsche, "Der Tolle Mensch
 

Plea

Filed under: Uncategorized — Tags: — m759 @ 4:00 AM

Ken Yuszkus, Salem News  staff photo

SALEM — The former MIT professor from Hamilton
accused of trying to swindle his son’s widow and children
out of nearly $5 million pleaded not guilty to the charges
on Friday in Salem Superior Court. 

John Donovan Sr., 75, was clutching a set of rosary beads
as he entered his plea before Judge Timothy Feeley. 

Donovan was indicted last month by an Essex County grand jury
on 13 counts, including larceny, forgery and witness intimidation. 

. . . .


— Julie Manganis, Salem News  staff writer, Jan. 13, 2018

See also other posts tagged Systems Programming.

Saturday, January 13, 2018

Charmed

Filed under: Uncategorized — m759 @ 1:00 AM

From an obituary in this morning's online New York Times

"John Tunney seemed to have a charmed political life until 1976,
when at age 42 he lost his Senate seat after just one term
to the unlikeliest of Republican challengers, a former Democrat
named Samuel I. Hayakawa."

Topology punchline —

"Sorry, but A is closed."

For more tasteless mathematical humor, see . . .

'Mathemati-Con: A day of free events open to the public

Friday, January 12, 2018

Cold Case

Filed under: Uncategorized — m759 @ 11:00 PM

The butler did it.

Twelfth Tradition for San Diego

Filed under: Uncategorized — m759 @ 10:24 AM

Background

AMS-MAA Joint Mathematics Meetings, Jan. 10-13, 2018, San Diego

From The New York Times  online last October —

"A version of this article appears in print on October 6, 2017,
on Page A1 of the New York edition with the headline:
Genre-Spanning Author of ‘The Remains of the Day’
Wins Nobel
." 

From Log24 last October

From The San Diego Union-Tribune  on that October 6th —

"October 6, 2017, 4:25 PM"

"UC San Diego is mourning the loss of mathematician Jeff Remmel,
who died unexpectedly on Sept. 29th."

From Log24 on that Sept. 29th —

Principles Before Personalities:
Some Remarks for Science Addicts.

Thursday, January 11, 2018

The Bourne Report

Filed under: Uncategorized — m759 @ 5:06 PM

From the Hannah Goldfield link in today's 7 AM ET
post "In the Bag" —

"… the bride . . . . is a daughter of Gaylord Bourne and
Carl Goldfield of New Haven."

— Wedding story, New York Times , Oct. 18, 2015

A search indicates that Bourne may be the person of that name 
associated with Achievement First charter schools.

Here is a related story from today's online New York Times —

"Can a ‘No Excuses’ Charter Teach Students
to Think for Themselves?
(11:40 AM ET)

Upper West Side Story Continues

Filed under: Uncategorized — m759 @ 3:33 PM

In memory of a resident of the Upper West Side
who reportedly died on Twelfth Night 2018

“… the horizon is not the limit of meaning,
but that which extends meaning
from what is directly given
to the whole context in which it is given,
including a sense of a world.”

— David Vessey, Department of Philosophy,
Grand Valley State University,
Gadamer and the Fusion of Horizons,
International Journal of Philosophical Studies, 
17/4 (2009), 531-42.

In the Bag

Filed under: Uncategorized — m759 @ 7:00 AM

See as well Hannah Goldfield as Pennywise the Dancing Clown
in this morning's online New York Times —

<meta property="og:description" content="Life doesn’t present us
with many opportunities to put to use the facts that we know
for no other reason than that we know them." />

<meta property="article:published" itemprop="datePublished"
content="2018-01-11T05:00:26-05:00" />

Grab-Bag

Filed under: Uncategorized — m759 @ 6:18 AM

In a new film, "The Commuter," Liam Neeson fights
a conspiracy

"so vast and preposterous that it becomes
nothing more than a grab-bag of plot twists."

A. O. Scott in The New York Times , 5 AM Jan. 11

Update of 6:29 AM —

"What's purple and commutes?"

Wednesday, January 10, 2018

Logos

Filed under: Uncategorized — m759 @ 8:35 PM

(Continued)

New logo of the American Mathematical Society, Jan. 10, 2018

Updates of 9:40 PM ET Jan. 10
to 5:45 AM ET the next day:

See a letter from the AMS on their new logo.

      Recent revision (pre-2018) of the former AMS logo

The Society's letter describes perceptions of the pre-2018 logo —

"… market research on our current logo revealed that
the connection between a Greek temple and
a mathematical society has become increasingly tenuous
among non-members and younger mathematicians, who
associate the Greek temple with a financial institution."

The omission of the alleged motto of Plato's Academy,
AGEOMETRETOS ME EISITO, in the recent (pre-2018)
revision of the logo was part of the Society's ongoing
process of politically correct dumbing-down. That omission
may have influenced the perception of the logo as picturing
a Greek temple rather than the Academy.

Some related remarks from 2005 —

Tuesday, January 9, 2018

Unpleasantly Discursive

Filed under: Uncategorized — m759 @ 10:12 PM

Background for the remarks of Koen Thas in the previous post —
Schumacher and Westmoreland, "Modal Quantum Theory" (2010).

Related material —

" There is a pleasantly discursive treatment 
of Pontius Pilate’s unanswered question
‘What is truth?’ "

— Coxeter, 1987, introduction to Trudeau’s
     The Non-Euclidean Revolution

The whole  truth may require an unpleasantly  discursive treatment.

Example —

1. The reported death on Friday, Jan. 5, 2018, of a dancer
     closely associated with George Balanchine

2. This journal on Friday, Jan. 5, 2018:

3. Illustration from a search related to the above dancer:

4. "Per Mare Per Terras" — Clan slogan above, illustrated with
     what looks like a cross-dagger.

    "Unsheathe your dagger definitions." — James Joyce.

5. Discursive remarks on quantum theory by the above
    Schumacher and Westmoreland:

6. "How much story do you want?" — George Balanchine

Koen Thas and Quantum Theory

Filed under: Uncategorized — Tags: — m759 @ 9:23 AM

'General Quantum Theory,' by Koen Thas, Dec. 13, 2017, preprint

This post supplies some background for earlier posts tagged
Quantum Tesseract Theorem.

Monday, January 8, 2018

Raiders of the Lost Theorem

Filed under: Uncategorized — Tags: — m759 @ 11:15 PM
 

The Quantum Tesseract Theorem 

 


 

Raiders —

A Wrinkle in Time
starring Storm Reid,
Reese Witherspoon,
Oprah Winfrey &
Mindy Kaling

 

Time Magazine  December 25, 2017 – January 1, 2018

The Overnight Case

Filed under: Uncategorized — m759 @ 9:45 PM

The previous post suggests a look at a baggage tale
from this evening's New York Times —

"Domestic airlines hoped to reunite all bags at the airport
with their owners by the end of Monday."


Yana Paskova for The New York Times

Time

Filed under: Uncategorized — m759 @ 12:00 AM

Sunday, January 7, 2018

Clueless:

Filed under: Uncategorized — Tags: — m759 @ 11:00 AM

Peter Zhang and Eric McLuhan on Interality

Space Program

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

Or:  Interality Illustrated

See also Seven Seals.

Saturday, January 6, 2018

Report from Red Mountain

Filed under: Uncategorized — Tags: — m759 @ 4:00 PM

Tom Wolfe in The Painted Word  (1975):

"It is important to repeat that Greenberg and Rosenberg
did not create their theories in a vacuum or simply turn up
with them one day like tablets brought down from atop
Green Mountain or Red Mountain (as B. H. Friedman once
called the two men). As tout le monde  understood, they
were not only theories but … hot news,
straight from the studios, from the scene."

Harold Rosenberg in The New Yorker  (click to enlarge)

See also Interality  and the Eightfold Cube .

Yale News

Filed under: Uncategorized — m759 @ 5:24 AM

The Yale of the title is not the university, but rather the
mathematician Paul B. Yale. Yale's illustration of the Fano
plane is below.

IMAGE- Triangular models of the 4-point affine plane A and 7-point projective plane PA

A different illustration from a mathematician named Greenberg —

This illustration of the ominous phrase "line at infinity"
may serve as a sort of Deathly Hallows  for Greenberg.
According to the AMS website yesterday, he died on
December 12, 2017:

A search of this  journal for Greenberg yields no mention of
the dead mathematician, but does yield some remarks
on art that are pehaps less bleak than the above illustration.

For instance —

Art adapted from the Google search screen. Discuss.

Friday, January 5, 2018

Tamagawa

Filed under: Uncategorized — Tags: — m759 @ 9:45 PM

Wikipedia — "Tamagawa's doctoral students included 
Doris Schattschneider and Audrey Terras."

See also Schattschneider and Terras in this  journal.

Subway Art for Plato’s Ghost

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

Suggested by the previous post

See also the post Plato's Ghost of March 3, 2010.

Subway Art Continues

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

Subway art related to an event of January 3, 2018

Monday, November 7, 2016

Subway Art for Times Square Church

Filed under: Uncategorized — m759 @ 9:11 PM 

Click images for related material.

 

Types of Ambiguity

Filed under: Uncategorized — Tags: , — m759 @ 2:56 AM

From "The Principle of Sufficient Reason," by George David Birkhoff
in "Three Public Lectures on Scientific Subjects,"
delivered at the Rice Institute, March 6, 7, and 8, 1940 —

From the same lecture —

Up to the present point my aim has been to consider a variety of applications of the Principle of Sufficient Reason, without attempting any precise formulation of the Principle itself. With these applications in mind I will venture to formulate the Principle and a related Heuristic Conjecture in quasi-mathematical form as follows:

PRINCIPLE OF SUFFICIENT REASON. If there appears in any theory T a set of ambiguously  determined ( i e . symmetrically entering) variables, then these variables can themselves be determined only to the extent allowed by the corresponding group G. Consequently any problem concerning these variables which has a uniquely determined solution, must itself be formulated so as to be unchanged by the operations of the group G ( i e . must involve the variables symmetrically).

HEURISTIC CONJECTURE. The final form of any scientific theory T is: (1) based on a few simple postulates; and (2) contains an extensive ambiguity, associated symmetry, and underlying group G, in such wise that, if the language and laws of the theory of groups be taken for granted, the whole theory T appears as nearly self-evident in virtue of the above Principle.

The Principle of Sufficient Reason and the Heuristic Conjecture, as just formulated, have the advantage of not involving excessively subjective ideas, while at the same time retaining the essential kernel of the matter.

In my opinion it is essentially this principle and this conjecture which are destined always to operate as the basic criteria for the scientist in extending our knowledge and understanding of the world.

It is also my belief that, in so far as there is anything definite in the realm of Metaphysics, it will consist in further applications of the same general type. This general conclusion may be given the following suggestive symbolic form:

Image-- Birkhoff diagram relating Galois's theory of ambiguity to metaphysics

While the skillful metaphysical use of the Principle must always be regarded as of dubious logical status, nevertheless I believe it will remain the most important weapon of the philosopher.

Related remarks by a founding member of the Metaphysical Club:

See also the previous post, "Seven Types of Interality."

Seven Types of Interality*

Filed under: Uncategorized — Tags: , — m759 @ 1:00 AM

* See the term interality  in this journal.
For many synonyms, see 
"The Human Seriousness of Interality,"
by Peter Zhang, Grand Valley State University,
China Media Research  11(2), 2015, 93-103.

Thursday, January 4, 2018

Perspectives from a Chinese Jar

Filed under: Uncategorized — Tags: , — m759 @ 4:40 PM

" . . . Only by the form, the pattern,
Can words or music reach
The stillness, as a Chinese jar still
Moves perpetually in its stillness."

— T. S. Eliot, Four Quartets

"The Grand Valley spirit never dies."

— Adapted from the Tao Te Ching

For T. S. Eliot

Filed under: Uncategorized — Tags: — m759 @ 5:01 AM

“I need a photo opportunity, I want a shot at redemption.
 Don’t want to end up a cartoon in a cartoon graveyard.”

 — Paul Simon

For a Cartoon Graveyard

Filed under: Uncategorized — Tags: — m759 @ 4:56 AM

“… the horizon is not the limit of meaning,
but that which extends meaning
from what is directly given
to the whole context in which it is given,
including a sense of a world.”

— David Vessey,
Gadamer and the Fusion of Horizons

(Quoted here on Saturday, June 4, 2005.)

Tuesday, January 2, 2018

Hell and Easter

Filed under: Uncategorized — m759 @ 11:22 PM

This post was suggested by the reported Monday, Jan. 1, 2018
death of the Juilliard String Quartet founding violinist and by the
reported Thursday, Feb. 25, 2016 death of his brother, a
biotech entrepreneur.

Details from Feb. 25-26, 2016

Related material from this evening's New York Times

The archaeologist above reportedly died on Friday, Dec. 29, 2016. 
See too a Log24 post from that date, On Becket's Day.

Debs and Redhead

Filed under: Uncategorized — m759 @ 3:15 PM

Or:  Schoolgirl Problems

The above images were suggested in part by the birthdays
on Sept. 21, 2011, of Bill Murray and Stephen King.

More seriously, also in this journal on that date, from a post
titled Symmetric Generation —

Monday, January 1, 2018

Diamond Theory 1976

Filed under: Geometry — m759 @ 8:26 PM

The first 12 pages of my 1976 preprint "Diamond Theory" are 
now scanned and uploaded.  See a slideshow.

For downloading, all 12 pages are combined in a PDF.

Sunday, December 31, 2017

Where Parallels Meet

Filed under: Uncategorized — m759 @ 5:00 PM

The previous post, together with a New York Times  report on
an Upper West Side figure's  death on Friday, suggests a review . . .

Related material —

Illustrations from  a post of Oct. 11, 2010

http://www.log24.com/log/pix10B/101011-137JungPauli-sm.jpg   http://www.log24.com/log/pix10B/101011-SkeletonCrew.jpg

Ich, Du, etc., etc.

Filed under: Uncategorized — m759 @ 9:00 AM

Recent posts involving the English pronoun IT referred to
classic tales of horror by Madeleine L'Engle and Stephen King.

Those posts suggest some further remarks by Martin Buber

THE WORLD IS TWOFOLD for man
     in accordance with his twofold attitude.
The attitude of man is twofold
     in accordance with the two basic words he can speak.
The basic words are not single words but word pairs.
One basic word is the word pair I-You.
The other basic word is the word pair I-It;
     but this basic word is not changed when
     He or She takes the place of It.
Thus the I of man is also twofold.
For the I of the basic word I-You is different from
     that in the basic word I-It.

— Buber, Martin. I and Thou, Trans. Kaufmann
     (p. 53). Kindle Edition. 

Four German pronouns from the above passage
by Martin Buber lead to six pronoun pairs:

ich-du, ich-es, ich-sie, du-es, du-sie, es-sie.

This is in accordance with some 1974 remarks by
Marie-Louise von Franz

The following passage by Buber may confuse readers of
L'Engle and King with its use, in translation, of "it" instead of
the original German "sie" ("she," corresponding to "die Welt") —

Here, for comparison, are the original German and the translation.

As for "that you in which the lines of relation, though parallel,
intersect," and "intimations of eternity," see Log24 posts on
the concept "line at infinity" as well as "Lost Horizon."

Saturday, December 30, 2017

Aliveness*

Filed under: Uncategorized — m759 @ 1:08 PM

"It was a dark and stormy night . . ."

* See also other posts using this word.

A Dream

Filed under: Uncategorized — Tags: — m759 @ 11:26 AM

Say You, Say Me

Lionel Richie
. . . .

"I had a dream,
     I had an awesome dream
People in the park
     playing games in the dark
And what they played
     was a masquerade
And from behind walls of doubt
     a voice was crying out"
. . . .

 "Something else was behind this . . .
  because it makes no sense.”

— The author reviewed in today's previous post,
as quoted yesterday in The Boston Globe

Say you, say me, say  IT . . .

A comment on Sean Kelly's Christmas Morning column on "aliveness"
in the New York Times  philosophy series The Stone  —

About IT

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

Goodreads review of 'Systems Programming,' a book by John J. Donovan

Background: See Wrinkle  in this journal and a post,
Field of Manifestation, from the above 2015 date.

See as well the Goodreads page below.

The six books reviewed by this user were written or
co-written by the author in the review shown above.
Each review gave the highest rating, five stars.

Friday, December 29, 2017

On Becket’s Day

Filed under: Uncategorized — m759 @ 1:22 PM

For those who prefer Becket to Beckett
See a Log24 search for True Grid.

Update of 1:37 PM —

Thursday, December 28, 2017

Rocky Start

Filed under: Uncategorized — m759 @ 9:11 PM

The above prose suggests a musical alternative to the Dec. 21
Camazotz song in the posts tagged Quantum Tesseract Theorem . . .

 

To Play the Villain

Filed under: Uncategorized — m759 @ 7:47 PM

See as well Faustus in this  journal.

Memorandum of Misunderstanding

Filed under: Uncategorized — m759 @ 11:40 AM

Harrison Ford in "Blade Runner 2049" —

Click the above quote for a scholium.

See also the previous post and . . .

Wednesday, December 27, 2017

On Fiction and Mathematics

Filed under: Uncategorized — m759 @ 1:01 PM

"There is always an awareness in her fiction
of the subjectivity of perception, and
the kaleidoscopic permutations
that memory can work on reality."

This is from a New York Times  article subtitled
"Alice Munro, Nobel Winner, Mines the Inner Lives
of Girls and Women" 

The New York Times  article was linked to by Marjorie Senechal
in a Huffington Post article of All Saints' Day 2013.

Further material on kaleidoscopic permutations —

See the Log24 post Symmetry of May 3, 2016.

For further material on mining, see Diamond-Mine:

'The Seven Dwarfs and their Diamond Mine

"SEE HEAR READ" — Walt Disney Productions

Winter Fire

Filed under: Uncategorized — m759 @ 5:55 AM

For Day 27 of December 2017

Filed under: Uncategorized — m759 @ 3:57 AM

See the 27-part structure of
the 3x3x3 Galois cube

IMAGE- The 3x3x3 Galois cube
as well as Autism Sunday 2015.

Tuesday, December 26, 2017

Raiders of the Lost Stone

Filed under: Uncategorized — m759 @ 8:48 PM

(Continued

 

Two Students of Structure

A comment on Sean Kelly's Christmas Morning column on "aliveness"
in the New York Times  philosophy series The Stone  —

Diana Senechal's 1999 doctoral thesis at Yale was titled
"Diabolical Structures in the Poetics of Nikolai Gogol."

Her mother, Marjorie Senechal, has written extensively on symmetry
and served as editor-in-chief of The Mathematical Intelligencer .
From a 2013 memoir by Marjorie Senechal —

"While I was in Holland my enterprising student assistant at Smith had found, in Soviet Physics – Crystallography, an article by N. N. Sheftal' on tetrahedral penetration twins. She gave it to me on my return. It was just what I was looking for. The twins Sheftal' described had evidently begun as (111) contact twins, with the two crystallites rotated 60o with respect to one another. As they grew, he suggested, each crystal overgrew the edges of the other and proceeded to spread across the adjacent facet.  When all was said and done, they looked like they'd grown through each other, but the reality was over-and-around. Brilliant! I thought. Could I apply this to cubes? No, evidently not. Cube facets are all (100) planes. But . . . these crystals might not have been cubes in their earliest stages, when twinning occurred! I wrote a paper on "The mechanism of certain growth twins of the penetration type" and sent it to Martin Buerger, editor of Neues Jarbuch für Mineralogie. This was before the Wrinch symposium; I had never met him. Buerger rejected it by return mail, mostly on the grounds that I hadn't quoted any of Buerger's many papers on twinning. And so I learned about turf wars in twin domains. In fact I hadn't read his papers but I quickly did. I added a reference to one of them, the paper was published, and we became friends.[5]

After reading Professor Sheftal's paper I wrote to him in Moscow; a warm and encouraging correspondence ensued, and we wrote a paper together long distance.[6] Then I heard about the scientific exchanges between the Academies of Science of the USSR and USA. I applied to spend a year at the Shubnikov Institute for Crystallography, where Sheftal' worked. I would, I proposed, study crystal growth with him, and color symmetry with Koptsik. To my delight, I was accepted for an 11-month stay. Of course the children, now 11 and 14, would come too and attend Russian schools and learn Russian; they'd managed in Holland, hadn't they? Diana, my older daughter, was as delighted as I was. We had gone to Holland on a Russian boat, and she had fallen in love with the language. (Today she holds a Ph.D. in Slavic Languages and Literature from Yale.) . . . . 
. . .
 we spent the academic year 1978-79 in Moscow.

Philosophy professors and those whose only interest in mathematics
is as a path to the occult may consult the Log24 posts tagged Tsimtsum.

Stoned: A Reading for St. Stephen’s Day

Filed under: Uncategorized — m759 @ 10:22 AM

See also Log24 posts now tagged Apperception.

Monday, December 25, 2017

New Kids on a Block:

Filed under: Uncategorized — m759 @ 11:59 PM

A Midnight Special for Charles Wallace


Peter Block —

Old Kid on Peter Block —

See the remarks today of Harvard philosophy professor Sean D. Kelly
in The New York Times :

Alexander's "15 properties that create the wholeness and aliveness" —

This is the sort of bullshit that seems to go over well at Harvard.
See Christopher Alexander in this journal.

Every Picture Tells a Story

Filed under: Uncategorized — m759 @ 12:00 PM

The movie marquee below
("Batman" and "Lethal Weapon 2")
indicates that the recent film "IT" 
is set in the summer of 1989.

The marquee suggests a review.  Also . . . .

" the thing that has shown up every twenty-seven years
     or so . . . .   It always comes back, you see.  It."
     — King, Stephen.  IT  (p. 151). Scribner. Kindle Edition. 

    Note that the flashback summer in King's book,
    1958  plus 27 is 1985  plus 27 is 2012.

The Weintraub Opening

Filed under: Uncategorized — m759 @ 3:48 AM

See also posts now tagged Weintraub.

Sunday, December 24, 2017

Piano Roll

Filed under: Uncategorized — m759 @ 12:00 PM

See also posts tagged Root Circle.

Saturday, December 23, 2017

Search Result

Filed under: Uncategorized — m759 @ 9:29 PM

The Right Stuff

Filed under: Geometry — Tags: — m759 @ 1:12 PM

A figure related to the general connecting theorem  of Koen Thas —

Anticommuting Dirac matrices as spreads of projective lines

Ron Shaw on the 15 lines of the classical generalized quadrangle W(2), a general linear complex in PG(3,2)

See also posts tagged Dirac and Geometry in this  journal.

Those who prefer narrative to mathematics may, if they so fancy, call
the above Thas connecting theorem a "quantum tesseract theorem ."

The Patterning

Filed under: Uncategorized — Tags: — m759 @ 12:25 PM

See a Log24 search for "Patterning Windows."

Related material (Click for context) —

.

IT Girl (for Sweet Home Alabama)

Filed under: Uncategorized — Tags: — m759 @ 3:35 AM

Friday, December 22, 2017

IT

Filed under: Geometry — Tags: — m759 @ 4:08 PM

Movie marquee on Camazotz, from the 2003 film of 'A Wrinkle in Time'

From a Log24 post of October 10, 2017

Koen Thas, 'Unextendible Mututally Unbiased Bases' (Sept. 2016)

Related material from May 25, 2016 —

Thursday, December 21, 2017

Wrinkles

Filed under: Uncategorized — Tags: — m759 @ 1:00 PM

TIME magazine, issue of December 25th, 2017 —

" In 2003, Hand worked with Disney to produce a made-for-TV movie.
Thanks to budget constraints, among other issues, the adaptation
turned out bland and uninspiring. It disappointed audiences,
L’Engle and Hand. 'This is not the dream,' Hand recalls telling herself.
'I’m sure there were people at Disney that wished I would go away.' "

Not the dream?  It was, however, the nightmare, presenting very well
the encounter in Camazotz of Charles Wallace with the Tempter.

From a trailer for the latest version —

Detail:

From the 1962 book —

"There's something phoney in the whole setup, Meg thought.
There is definitely something rotten in the state of Camazotz."

Song adapted from a 1960 musical —

"In short, there's simply not
A more congenial spot
For happy-ever-aftering
Than here in Camazotz!"

For Winter Solstice 2017

Filed under: Geometry — m759 @ 10:30 AM

A review —

Some context —

Webpage demonstrating symmetries of 'Solomon's Cube'

Wednesday, December 20, 2017

A Snow Ball for Clifford Irving (1930-2017)

Filed under: Geometry — m759 @ 11:45 PM

William Grimes in The New York Times  this evening —

"Clifford Irving, who perpetrated one of the biggest literary hoaxes
of the 20th century in the early 1970s when he concocted a
supposedly authorized autobiography of the billionaire Howard Hughes
based on meetings and interviews that never took place, died on Tuesday
at a hospice facility near his home in Sarasota, Fla. He was 87."

A figure reproduced here on Tuesday

A related figure —

See too the 1973 Orson Welles film "F for Fake."

Some background on the second figure above —
posts tagged April 8-11, 2016.

Some background on the first figure above —
today's previous post, January 2018 AMS Notices.

January 2018 AMS Notices

Filed under: Uncategorized — m759 @ 3:03 PM

Update of 9:29 PM ET Dec. 20, 2017 —

See in particular, in the above Notices , the article

"Algebraic Structures on Polytopes," by Federico Ardila,
within the 2018 Joint Mathematics Meeting Lecture Sampler.

Related reading:

arXiv:1711.09102v1 [hep-th] 24 Nov 2017,

"Scattering Forms and the Positive Geometry of
Kinematics, Color and the Worldsheet," by
Nima Arkani-Hamed, Yuntao Bai, Song He, Gongwang Yan
(Submitted to the arXiv on 24 Nov. 2017).

Devil’s Claws, Etc., Etc.

Filed under: Geometry — m759 @ 1:04 PM

"And Cabots speak only to God."

Departed

Filed under: Uncategorized — m759 @ 1:28 AM

(Tuesday, Boston time; early Wednesday, Rome time.)

"The metaphor for metamorphosis no keys unlock."

Tuesday, December 19, 2017

A Mythologem for Meletinsky

Filed under: Geometry — m759 @ 11:00 AM

The word "mythologem" on page 55 of The Burning Fountain 
by Philip Wheelwright, revised edition of 1968 (p. 91 in the 1954
edition), suggests a Web search for that word. It was notably often
used in the 1998 English translation of a book by Eleazar Meletinsky
first published in Russian in 1976 —

Meletinsky reportedly died on December 17, 2005.

In his memory, Log24 posts from that date are now tagged Mythologem Day.

"And we may see the meadow in December,
icy white and crystalline" — Johnny Mercer

Monday, December 18, 2017

Mathematics and Art

Filed under: Geometry — m759 @ 5:09 PM

From the American Mathematical Society homepage today —

From concinnitasproject.org

"Concinnitas  is the title of a portfolio of fine art prints. . . .
The portfolio draws its name from a word famously used
by the Renaissance scholar, artist, architect, and philosopher
Leon Battista Alberti (1404-1472) to connote the balance of
number, outline, and position (in essence, number, geometry,
and topology) that he believed characterize a beautiful work of art."

The favicon of the Concinnitas Project —

The structure of the Concinnitas favicon —

This structure is from page 15 of
"Diamond Theory," a 1976 preprint —

 .

Wheelwright and the Dance

Filed under: Geometry — m759 @ 1:00 PM

The page preceding that of yesterday's post  Wheelwright and the Wheel —

See also a Log24 search for 
"Four Quartets" + "Four Elements".

A graphic approach to this concept:

"The Bounded Space" —

'Space Cross' from the Cullinane diamond theorem

"The Fire, Air, Earth, and Water" —

Logo for 'Elements of Finite Geometry'

Sunday, December 17, 2017

Wheelwright and the Wheel

Filed under: Uncategorized — m759 @ 9:00 PM

Wheelwright on 'the still point' at the center of a turning wheel, in 'The Burning Fountain'

From the 1968 "new and revised edition" —

See also the previous post.

For the phrase "burning fountain," see Shelley's "Adonais,"
as well as Logos (a post of Dec. 4) and The Crimson Abyss.

Concrete Universals

Filed under: Uncategorized — Tags: — m759 @ 6:45 PM

The remarks on universals in the previous post linked to the following
note by James Hillman:

James Hillman, Re-Visioning Psychology
Harper Collins, 1977, p. 155 —

"Myths also make concrete particulars into universals,
so that each image, name, thing in my life when
experienced mythically takes on universal sense,
and all abstract universals, the grand ideas of
human fate, are presented as concrete actions." 
[See note 48.]

Note 48:  Cf. P. Wheelwright's discussion of concrete universality
in The Burning Fountain  (Bloomington, Ind.: Indiana University
Press, 1968), pp. 52-54.

For Wheelwright's discussion, see the following excerpts from his book:

Pages 50-5152-5354-55.

Saturday, December 16, 2017

Dagger Definitions (Review)

Filed under: Geometry — Tags: — m759 @ 11:30 AM

The previous post suggests a review of
the philosophical concept of universals —

A part of the above-mentioned 2011 "Saturday evening's post" that is
relevant to the illustration at the end of today's previous post —

http://www.log24.com/log/pix11/110101-Singer377abridged.jpg

Note the whatness of Singer's  dagger definitions —

Triptychs

Filed under: Geometry — Tags: — m759 @ 12:24 AM

Two readings by James Parker —

From next year's first Atlantic  issue

From last month's Atlantic  issue

"Let’s return to that hillside where Clayton exited his Mercedes.
In the gray light, he climbs the pasture. Halfway up the slope,
three horses are standing: sculpturally still, casually composed
in a perfect triptych of horsitude."

James Parker in The Atlantic , Nov. 2017 issue
 

Logos-related material 

Friday, December 15, 2017

Matter

Filed under: Uncategorized — m759 @ 3:15 PM

The previous post, "Mind," suggests a search for "n+1" in this journal.
From that search —

The above psychoanalytic remarks suggest . . .

See also "Transformers" (2007).

"Before time began, there was the Cube."

— Optimus Prime

Thursday, December 14, 2017

Mind

Filed under: Uncategorized — m759 @ 8:00 PM
 

Justin E. H. Smith


Detail from a Log24 post of last Sunday

Philosophy

Filed under: Uncategorized — m759 @ 12:00 PM

The above reading was suggested by a post of
New Year's Day, Jan. 1, 2013 — The Simplest Situation.

See also Ahem (Sunday morning, Dec. 10, 2017).

Wednesday, December 13, 2017

Portland News

Filed under: Uncategorized — Tags: — m759 @ 9:00 PM

An obituary from this afternoon suggests a review of
a Log24 post from last year — 

See also today's earlier post Once in a Lullaby and yesterday's
London Daily Mail — "Kristen Stewart Cuts a Cool Figure" —

.

Over the Rainbow Bridge

Filed under: Uncategorized — Tags: — m759 @ 12:52 PM

Once in a Lullaby

Filed under: Uncategorized — m759 @ 12:21 PM

Trends

Filed under: Uncategorized — Tags: , — m759 @ 2:04 AM

"The philosopher Jerry Fodor was important for the same reason
you’ve probably never heard of him: he was unimpressed,
to put it politely, by the intellectual trends of the day."

—  Stephen Metcalf in The New Yorker , Dec. 12, 2017

See also "The French Invasion," a Dec. 11 Quarterly Conversation
essay about Derrida in Baltimore in 1966, and the Dec. 10 posts
in this  journal tagged Interlacing Derrida. (The deplorable Derrida
trend is apparently still alive in Buffalo.)

According to Metcalf, Fodor's "occasional review-essays in the L.R.B. 
were masterpieces of a plainspoken and withering sarcasm. To Steven
Pinker’s suggestion that we read fiction because ' it supplies us with a
mental catalogue of the fatal conundrums we might face someday,' for
instance, Fodor replied, ' What if it turns out that, having just used the ring
that I got by kidnapping a dwarf to pay off the giants who built me my
new castle, I should discover that it is the very ring that I need in order to
continue to be immortal and rule the world? ' "

In the Fodor-Pinker dispute, my sympathies are with Pinker.

Related material — Google Sutra (the previous Log24 post) and earlier posts
found in a Log24 search for Ring + Bear + Jung —

Four Colours and Waiting for Logos.

Tuesday, December 12, 2017

Google Sutra

Filed under: Uncategorized — m759 @ 12:08 PM

Suggested by a Diamond Sutra webpage, by a recent Log24 post . . .

Logos for Philosophers
(Suggested by Modal Logic) —

Nietzsche, 'law in becoming' and 'play in necessity'

. . . and by the Google Play Store logo —

For further details, see . . .

https://play.google.com/store/books/details/
Gemmell_William_The_Diamond_Sutra_Chin_kang_ching?
id=VufuAgAAQBAJ
.

Pivot

Filed under: Uncategorized — m759 @ 1:00 AM

A Web search for "diamond pivot bright" yields . . .

Page 103 of 'Conceptions of Reality in Modern American Poetry,' by L. S. Dembo


An "irrational image" from Log24 (Nov. 26, 2002) —
 

"The beautiful in mathematics resides in contradiction.  
Incommensurability, logoi alogoi , was the first splendor
in mathematics."

Simone Weil, Oeuvres Choisies , 
éd. Quarto, Gallimard, 1999, p. 100

Monday, December 11, 2017

A Diamond Metaphor

Filed under: Uncategorized — m759 @ 11:24 PM

For some remarks related to the title, see Black + Algebra + Metaphor.

Illustration of a 'diamond' in Scholze's 2014 lectures on p-adic geometry

There is apparently no relationship between Scholze's metaphor
and my own use of the word "diamond" in finite  geometry.

The Diamond Theorem at SASTRA

Filed under: Geometry — m759 @ 12:35 PM

The following IEEE paper is behind a paywall,
but the first page is now available for free
at deepdyve.com

For further details on the diamond theorem, see
finitegeometry.org/sc/ or the archived version at . . .

DOI

Sunday, December 10, 2017

Geometry

Filed under: Geometry — Tags: , — m759 @ 8:45 PM

Google search result for Plato + Statesman + interlacing + interweaving

See also Symplectic in this journal.

From Gotay and Isenberg, “The Symplectization of Science,”
Gazette des Mathématiciens  54, 59-79 (1992):

“… what is the origin of the unusual name ‘symplectic’? ….
Its mathematical usage is due to Hermann Weyl who,
in an effort to avoid a certain semantic confusion, renamed
the then obscure ‘line complex group’ the ‘symplectic group.’
… the adjective ‘symplectic’ means ‘plaited together’ or ‘woven.’
This is wonderfully apt….”

IMAGE- A symplectic structure -- i.e. a structure that is symplectic (meaning plaited or woven)

The above symplectic  figure appears in remarks on
the diamond-theorem correlation in the webpage
Rosenhain and Göpel Tetrads in PG(3,2). See also
related remarks on the notion of  linear  (or line ) complex
in the finite projective space PG(3,2) —

Anticommuting Dirac matrices as spreads of projective lines

Ron Shaw on the 15 lines of the classical generalized quadrangle W(2), a general linear complex in PG(3,2)

Numbers

Filed under: Uncategorized — Tags: — m759 @ 4:10 PM

See also The Derrida Reader: Writing Performances, edited by
Julian Wolfreys (U. of Nebraska Press, 1998), pages 112-113,
discussed here in the previous two posts, and this  journal on
1/12-1/13. Related material: Polytropos .

Algebra

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

Derrida quote from the previous post

See also Black + Algebra + Metaphor.

Interlacing, Interweaving

Filed under: Uncategorized — Tags: — m759 @ 2:00 PM

The above title should be sung to the following tune

"Right through hell
 there is a path…."
 — Malcolm Lowry,
Under the Volcano

Ahem

Filed under: Uncategorized — m759 @ 2:48 AM

(Click to enlarge. Note the infinity favicon.)

" Indeed, one might say that it is possible (ahem ), in another world,
for this article to have been entitled, 'The modal logic of various
set-theoretic multiverse conceptions
.' "

Saturday, December 9, 2017

Lackaday Quotation

Filed under: Uncategorized — m759 @ 9:45 AM

The previous post discussed an alleged description by
William H. Gass of his fellow author Malcolm Lowry as 
"a black magician."

In defense of Gass, it seems that quote is inaccurate:

Friday, December 8, 2017

Mythos and Logos

Filed under: Geometry — m759 @ 9:48 PM

Part I:  Black Magician

"Schools of criticism create their own canons, elevating certain texts,
discarding others. Yet some works – Malcolm Lowry’s Under the Volcano
is one of them – lend themselves readily to all critical approaches."

— Joan Givner, review of 
A Darkness That Murmured: Essays on Malcolm Lowry and the Twentieth Century
by Frederick Asals and Paul Tiessen, eds.

The Asals-Tiessen book (U. of Toronto Press, 2000) was cited today
by Margaret Soltan (in the link below) as the source of this quotation —

"When one thinks of the general sort of snacky
under-earnest writers whose works like wind-chimes
rattle in our heads now, it is easier to forgive Lowry
his pretentious seriousness, his old-fashioned ambitions,
his Proustian plans, [his efforts] to replace the reader’s
consciousness wholly with a black magician’s."

A possible source, Perle Epstein, for the view of Lowry as black magician —

Part II:  Mythos  and Logos

Part I above suggests a review of Adam Gopnik as black magician
(a figure from Mythos ) —

Tuesday, November 7, 2017

Polarities and Correlation

Filed under: Uncategorized — Tags:  
— m759 @ 11:00 PM 

— and of an opposing figure from Logos
     Paul B. Yale, in the references below:

Logos (Continued)

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

Nietzsche, 'law in becoming' and 'play in necessity'

"Denn die Welt braucht ewig die Wahrheit,
also braucht sie ewig Heraklit:
obschon er ihrer nicht bedarf.
Was geht ihn sein Ruhm an?
Der Ruhm bei »immer fortfließenden Sterblichen!«,
wie er höhnisch ausruft.
Sein Ruhm geht die Menschen etwas an, nicht ihn,
die Unsterblichkeit der Menschheit braucht ihn,
nicht er die Unsterblichkeit des Menschen Heraklit.
Das, was er schaute, die Lehre vom Gesetz im Werden
und vom
Spiel in der Notwendigkeit 
, muß von jetzt
ab ewig geschaut werden: er hat von diesem größten
Schauspiel den Vorhang aufgezogen."

Logos for Philosophers
(Suggested by Modal Logic) —

Nietzsche, 'law in becoming' and 'play in necessity'

Thursday, December 7, 2017

William H. Gass reportedly died on December 6

Filed under: Uncategorized — m759 @ 2:04 PM

"William H. Gass, a proudly postmodern author
who valued form and language
more than literary conventions
like plot and character
and who had a broad influence
on other experimental writers
of the 1960s, ’70s and beyond,
died on Wednesday in St. Louis. He was 93."

Dee Wedemeyer, The New York Times ,
    12:40 AM ET Thursday, December 7, 2017

"Mr. Gass was widely credited with coining the term
'metafiction' to describe writing in which the author
is part of the story. He himself was one of the form’s
foremost practitioners." — ibid.

See as well yesterday's Log24 post and
Discovery of Heaven  in this journal.

Wednesday, December 6, 2017

The Capital Dome

Filed under: Uncategorized — m759 @ 6:00 PM

See also Dome Rock in this  journal.

Tuesday, December 5, 2017

Scully on Architecture

Filed under: Uncategorized — m759 @ 10:18 PM

"It is not easy to set aside firmly seated preconceptions
in order to look at old material with fresh eyes —
hardest of all to face facts which, if true, are 
so obvious and simple that they should patently have been 
recognized long before."

— Vincent Scully, preface to the 1969 edition of
The Earth, the Temple, and the Gods: Greek Sacred Architecture

See also, in this journal, Slave Boy.

Update of 10:30 PM ET —

This post was suggested by the following eulogy:

"All work and no play . . . ." — The Shining

Bucharest for Kinbote

Filed under: Uncategorized — m759 @ 3:00 PM

New York Times  online headline this afternoon —

King Michael of Romania Is Dead at 96

See as well . . .

Log24 posts on Bucharest.

Space Tune

Filed under: Uncategorized — m759 @ 1:00 PM

Wikipedia on "Dancing in the Moonlight" —

"The song was played as a wake-up call for Daniel M. Tani,
an astronaut on board the STS-120: Discovery mission
headed for the International Space Station,
on the early morning of October 24, 2007."

See also Log24 on October 24, 2007.

Monday, December 4, 2017

Logos

Filed under: Uncategorized — m759 @ 8:42 PM

See also The Crimson Abyss (March 29, 2017).

In the Service of Narrative

Filed under: Uncategorized — m759 @ 12:00 AM

See also posts tagged May 19 Gestalt.

Sunday, December 3, 2017

Number Two

Filed under: Uncategorized — m759 @ 9:01 PM

The Unreliable Narrator

Filed under: Uncategorized — m759 @ 2:00 PM

"We are very much within the mind of an unreliable narrator . . . ."

— Jim Holt, "Obsessive-Genius Disorder,"
    NYT Sunday Book Review , Sept. 3, 2006

Saturday, December 2, 2017

Songs for Saoirse

Filed under: Uncategorized — m759 @ 1:07 PM

See also Songs of Experience in this journal.

Friday, December 1, 2017

The Architect and the Matrix

Filed under: Geometry — m759 @ 1:00 PM

In memory of Yale art historian Vincent Scully, who reportedly
died at 97 last night at his home in Lynchburg, Va., some remarks
from the firm of architect John Outram and from Scully —

Update from the morning of December 2 —

The above 3×3 figure is of course not unrelated to
the 4×4 figure in The Matrix for Quantum Mystics:

 .

See as well Tsimtsum in this journal.

Harold Bloom on tsimtsum as sublimation

Thursday, November 30, 2017

Far Out

Filed under: Uncategorized — m759 @ 11:10 PM

"Archimedes thought that he could move the world
if only he could get outside of it, and the same idea
inspires writers in the transcendental genre of fiction.
Find some place sufficiently far out and put your fulcrum there."

The late Jerry Fodor, who reportedly died on Nov. 29, 2017

The Matrix for Quantum Mystics

Filed under: Geometry — m759 @ 10:29 PM

Scholia on the title — See Quantum + Mystic in this journal.

The Matrix of Lévi-Strauss

"In Vol. I of Structural Anthropology , p. 209, I have shown that
this analysis alone can account for the double aspect of time
representation in all mythical systems: the narrative is both
'in time' (it consists of a succession of events) and 'beyond'
(its value is permanent)." — Claude Lévi-Strauss, 1976

I prefer the earlier, better-known, remarks on time by T. S. Eliot
in Four Quartets , and the following four quartets (from
The Matrix Meets the Grid) —

.

From a Log24 post of June 26-27, 2017:

A work of Eddington cited in 1974 by von Franz

See also Dirac and Geometry and Kummer in this journal.

Ron Shaw on Eddington's triads "associated in conjugate pairs" —

For more about hyperbolic  and isotropic  lines in PG(3,2),
see posts tagged Diamond Theorem Correlation.

For Shaw, in memoriam — See Contrapuntal Interweaving and The Fugue.

Typewriter Wars

Filed under: Uncategorized — m759 @ 2:45 PM

For those who prefer mathematics to narrative —

Wednesday, November 29, 2017

Definitions

Filed under: Geometry — m759 @ 11:25 PM

See also Inscape in this journal and, for a related Chapel Hill thesis,
the post Kummer and Dirac.

The Beacon

Filed under: Uncategorized — m759 @ 11:41 AM

Or: "Use the Source, Luke"

The Room

Filed under: Uncategorized — m759 @ 11:00 AM

The concluding instance of a search for "the room"
in this journal (from Mike Nichols's birthday, 2002) —

"His visitor sat upright, oppressed by the silence,
acutely conscious that the doors to the room were locked."

— Recreation by Sylvia Nasar of a scene starring
mathematicians George Mackey and John Nash.

The reviews are in!

See also today's previous post, Perhaps Not Strange Enough.

Perhaps Not Strange Enough

Filed under: Uncategorized — m759 @ 1:00 AM

See also Mackey + Nash in this  journal.

Tuesday, November 28, 2017

Comedy from a Cartoon Graveyard

Filed under: Uncategorized — m759 @ 5:19 PM

For Quantum Mystics

Filed under: Uncategorized — m759 @ 2:48 PM

"An awful lot of important dualities in four and fewer dimensions
follow from this six-dimensional theory and its properties."

— Edward Witten, interviewed by Natalie Wolchover,
     in Quanta Magazine  on November 28, 2017

See also Six Dimensions in this  journal.

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