Log24

Thursday, November 30, 2017

Far Out

Filed under: General — 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

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: General — m759 @ 2:45 pm

For those who prefer mathematics to narrative —

Wednesday, November 29, 2017

Definitions

Filed under: General,Geometry — Tags: — 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: General — m759 @ 11:41 am

Or: "Use the Source, Luke"

The Room

Filed under: General — 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: General — m759 @ 1:00 am

See also Mackey + Nash in this  journal.

Tuesday, November 28, 2017

Comedy from a Cartoon Graveyard

Filed under: General — Tags: — m759 @ 5:19 pm

For Quantum Mystics

Filed under: General — 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.

Monday, November 27, 2017

Aesthetic Qualities

Filed under: General — m759 @ 3:10 pm

See also Sunday's Upper West Side Story.

The Golay Code via Witt’s Construction

Filed under: General,Geometry — Tags: — m759 @ 2:08 pm

Reference

Hansen, Robert Peter, "Construction and Simplicity of
the Large Mathieu Groups" (2011). Master's Theses. 4053. 
http://scholarworks.sjsu.edu/etd_theses/4053.

See also The Matrix Meets the Grid (Log24, Nov. 24).
More generally, see SPLAG in this journal.

Sunday, November 26, 2017

Upper West Side Story:

Filed under: General — Tags: — m759 @ 1:00 pm

The Linotype Fixer

( Sequel to "The Typewriter Fixer" * )

From The Hollywood Reporter  on Tuesday, Nov. 7, 2017 —

* "The Typewriter Fixer" refers to a typewriter repair shop
   on New York's Upper West Side —

The Hollywood Reporter 's  promotional piece  above is from
Tuesday, November 7, 2017.  For another meditation suited to
the Upper West Side, see this  journal on that date —

Tuesday, November 7, 2017

Polarities and Correlation

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

Adam Gopnik on Philip Roth

Adam Gopnik on Philip Roth and Mickey Sabbath

Saturday, November 25, 2017

Night at the Museum

Filed under: General — Tags: — m759 @ 9:45 pm

The previous post suggests a review of remarks by Adam Gopnik
in The New Yorker  on February 27, 2017 on "The Matrix" hypothesis—

"The thesis that we are in a simulation is, as people who
track such things know—my own college-age son has
explained it to me—far from a joke, or a mere conceit.
The argument, actually debated at length at the
American Museum of Natural History just last year, is that
the odds are overwhelming that ours is a simulated universe.
The argument is elegant."

No, it is not. 

See as well my own remarks on the date of the above museum debate
Tuesday, April 5, 2016.

From those remarks, a Halloween 2014 image that provides a
companion-piece to the "Easy E" of today's previous post

E-Elements

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

German mathematician Wolf Barth reportedly died
on December 30, 2016.

Flashback to this journal on that date *

From "The Man Who Tried to Redeem the World with Logic" —

"The following June, 1945, von Neumann penned
what would become a historic document entitled
'First Draft of a Report on the EDVAC,' the first published
description of a stored-program binary computing machine—
the modern computer."

Image from von Neumann's report —

Version converted to text —


* And, of course, to the later post  Easy E for Cullinan  (Feb. 28, 2017).
    Cullinan, second from left below, is the now-famous Oscars accountant.

Friday, November 24, 2017

Scholia

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

From this evening's online New York Times : 

"Eric Salzman, a composer and music critic who
championed a new art form, music theater,
that was neither opera nor stage musical, died
on Nov. 12 at his home in Brooklyn. He was 84."

. . . .

"The first American Music Theater Festival 
took place in the summer of 1984.

Among that first festival’s featured works was 
'Strike Up the Band!,' Mr. Salzman’s 'reconstructed
and adapted' version of a satirical musical
with a score by George and Ira Gershwin
that had not been staged in 50 years. The director
of that production, Frank Corsaro, died 
the day before Mr. Salzman did."

Synchronology check :

"The day before" above was November 11, 2017.

Links from this  journal  on November 11

A Log24 search for Michael Sudduth and an 
October 28, 2017, Facebook post by Sudduth.

Detail of Sudduth's Nov. 11 Facebook home page

Click the above for an enlarged view of the Sudduth profile picture.

Related material :

Harold Schonberg, 1977 review of Corsaro production of Busoni's 'Dr. Faust'

Aooo.

The Typewriter Fixer

Filed under: General — m759 @ 5:37 pm

Adelman reportedly died on Wednesday, November 22, 2017.

The Matrix Meets the Grid

Filed under: G-Notes,General,Geometry — Tags: , — m759 @ 2:00 pm

The Matrix —

  The Grid —

  Picturing the Witt Construction

     "Read something that means something." — New Yorker  ad

Thursday, November 23, 2017

The Matrix

Filed under: General — Tags: , — m759 @ 10:00 pm

David Brooks in The New York Times  today

"We once had a unifying national story, celebrated each Thanksgiving.
It was an Exodus story. Americans are the people who escaped oppression,
crossed a wilderness and are building a promised land. The Puritans brought
this story with them. Each wave of immigrants saw themselves in this story.
The civil rights movement embraced this story.

But we have to admit that many today do not resonate with this story. . . .

Today, we have no common national narrative, no shared way
of interpreting the flow of events. Without a common story,
we don’t know what our national purpose is. We have no
common set of goals or ideals.

We need a new national narrative."

From a post of August 15, 2010

http://www.log24.com/log/pix10B/100815-NeoAndOracle.jpg

For some background, see Java Jive and Today's Theology.

Related readings —

From 1928:

From the previous post:

"Thus, instead of Propp's chronological scheme,
in which the order of succession of events
is a feature of the structure . . .
another scheme should be adopted, which would present
a structural model defined as the group of transformations
of a small number of elements. This scheme would appear
as a matrix . . . ."

Claude Lévi-Strauss, 1960 

Lévi-Strauss vs. Propp

Filed under: General,Geometry — Tags: , , , — m759 @ 12:25 pm
​Claude Lévi-Strauss

From his Structure and Form:
Reflections on a Work by Vladimir Propp
” *

To maintain. as I have done. that the permutability of contents is not arbitrary amounts to saying that, if the analysis is carried to a sufficiently deep level, behind diversity we will discover constancy. And, of course. the avowed constancy of form must not hide from us that functions are also permutable.

The structure of the folktale as it is illustrated by Propp presents a chronological succession of qualitatively distinct functions. each constituting an independent genre. One can wonder whether—as with dramatis personae and their attributes— Propp does not stop too soon, seeking the form too close to the level of empirical observation. Among the thirty-one functions that he distinguishes, several are reducible to the same  function reappearing at different  moments of the narrative but after undergoing one or a number of transformations . I have already suggested that this could be true of the false hero (a transformation of the villain), of assigning a difficult task (a transformation of the test), etc. (see p. 181 above), and that in this case the two parties  constituting the fundamental tale would themselves be transformations of each other.

Nothing prevents pushing this reduction even further and analyzing each separate partie  into a small number of recurrent functions, so that several of Propp’s functions would constitute groups of transformations of one and the same function. We could treat the “violation” as the reverse of the “prohibition” and the latter as a negative transformation of the “injunction.” The “departure” of the hero and his “return” would appear as the negative and positive expressions of the same disjunctive function. The “quest” of the hero (hero pursues someone or something) would become the opposite of “pursuit” (hero is pursued by something or someone), etc.

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). With regard to Propp’s theories my analysis offers another advantage: I can reconcile much better than Propp himself  his principle of a permanent order of wondertale elements with the fact that certain functions or groups of functions are shifted from one tale to the next (pp. 97-98. p. 108) If my view is accepted, the chronological succession will come to be absorbed into an atemporal matrix structure whose form is indeed constant. The shifting of functions is then no more than a mode of permutation (by vertical columns or fractions of columns).

These critical remarks are certainly valid for the method used by Propp and for his conclusions. However. it cannot be stressed enough that Propp envisioned them and in several places formulated with perfect clarity the solutions I have just suggested. Let us take up again from this viewpoint the two essential themes of our discussion: constancy of the content (in spite of its permutability) and permutability of functions (in spite of their constancy).

* Translated from a 1960 work in French.  It appeared in English as Chapter VIII
of Structural Anthropology, Volume 2  (U. of Chicago Press, 1976).  Chapter VIII
was originally published in Cahiers de l’Institut de Science 
Économique Appliquée , 
No. 9 (Series M, No. 7) (Paris: ISEA, March 1960).

See also “Lévi-Strauss” + Formula  in this journal.

Some background related to the previous post

Wednesday, November 22, 2017

Goethe on All Souls’ Day

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

David E. Wellbery on Goethe

From an interview published on 2 November 2017 at

http://literaturwissenschaft-berlin.de/interview-with-david-wellbery/

as later republished in 

https://thepointmag.com/2017/dialogue/
irreducible-significance-david-wellbery-literature-goethe-cavell
 —

 

The logo at left above is that of The Point .
The menu icon at right above is perhaps better
suited to illustrate Verwandlungslehre .

Weyl on symmetry, the eightfold cube, the Fano plane, and trigrams of the I Ching

The Prize

Filed under: General,Geometry — Tags: — m759 @ 2:45 pm

Bernd Sturmfels to Receive 2018
George David Birkhoff Prize in Applied Mathematics
 

— American Mathematical Society on
     Monday, November 20th, 2017

See also Sturmfels and Birkhoff + Geometry in this  journal.

“Design is how it works” — Steve Jobs

Filed under: General,Geometry — Tags: , , — m759 @ 1:00 pm

News item from this afternoon —

Apple AI research on 'mapping systems'

The above phrase "mapping systems" suggests a review
of my own very different  "map systems." From a search
for that phrase in this journal —

Map Systems (decomposition of functions over a finite field)

See also "A Four-Color Theorem: Function Decomposition
Over a Finite Field.
"

Tuesday, November 21, 2017

Provocative Exhibitions

Filed under: General — Tags: — m759 @ 1:02 pm

Wikipedia on a figure from the previous post

" Antonelli  was recognized with an AIGA Medal in 2015
for 'expanding the influence of design in everyday life
by sharing fresh and incisive observations and
curating provocative exhibitions at MoMA'.[4] She was
rated one of the one hundred most powerful people in
the world of art by Art Review and Surface Magazine.[5]  "

Speaking of exhibitions —

Monday, November 20, 2017

Dating Charlie*

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

Washington Post  dateline . . .

November 20 at 6:34 PM

Address . . .

https://www.washingtonpost.com/investigations/
eight-women-say-charlie-rose-sexually-harassed-them–
with-nudity-groping-and-lewd-calls/2017/11/20/ . . .

See also Charlie Rose in this  journal.

The only post found in a Log24 search for "Charlie Rose" is about
his May 7, 2008, interview with a Museum of Modern Art figure,
Paola Antonelli.  A more recent appearance by Antonelli —

Synchronolgy check — Log24 on the date 5 June 2012.

* Title and wording of post revised the following day.

Snowflake

Filed under: General — m759 @ 3:24 pm

Made-up quote from an imaginary celebrity 
in today's online New York Times

"Lighten up and enjoy the act, snowflake."

Related material —

Ending Credits, a Log24 post of Jan. 26, 2015.

Sunday, November 19, 2017

Nightmare for Midsummer

Filed under: General — m759 @ 9:36 pm

In memory of a Brooklyn art figure who reportedly killed himself
on November 9, 2017 —

From an obituary linked to here  in a post, "Information from the Middle 
of the Night
," at 2:02 AM ET on June 23, 2017 —

"In 1976, Ms. DeAk, with Mr. Robinson, Sol LeWitt and
Lucy Lippard, helped found Printed Matter, a publisher
and distributor of artists’ books."

"A version of this article appears in print on June 23, 2017,
on Page B15 of the New York edition with the headline:
Edit DeAk, a Champion of Artists Outside the Mainstream,
Dies at 68."

Related material —

Galois Space

Filed under: General,Geometry — Tags: , — m759 @ 8:00 pm

This is a sequel to yesterday's post Cube Space Continued.

Other Entertainment

Filed under: General — m759 @ 11:02 am

Suggested by the previous post

Wikipedia

" 'Dark Horse' is a song recorded by American singer
Katy Perry featuring rapper Juicy J. It was originally
released on September 17, 2013, by Capitol Records
as the first promotional single from Perry's fourth
studio album, Prism (2013)."

See also a link from the above date in this journal —

"In the Neighborhood of Mathematical Space,"
by Karen Shenfeld (1993).

Review

Filed under: General,Geometry — m759 @ 12:00 am

"New to the series are the Trials of the Gods events
that pit players against Ancient Egyptian gods."

Review of the new game  Assassin's Creed: Origins 

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

Geometry of the I Ching (Box Style)

Saturday, November 18, 2017

Cube Space Continued

Filed under: General,Geometry — Tags: , — m759 @ 4:44 am

James Propp in the current Math Horizons  on the eightfold cube

James Propp on the eightfold cube

For another puerile approach to the eightfold cube,
see Cube Space, 1984-2003 (Oct. 24, 2008).

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