Log24

Wednesday, December 13, 2017

Trends

Filed under: General — 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: General — 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: General — 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: General,Geometry — 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: General,Geometry — Tags: , — 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

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: General — 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: General — Tags: — m759 @ 2:55 pm

Derrida quote from the previous post

See also Black + Algebra + Metaphor.

Interlacing, Interweaving

Filed under: General — 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: General — 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: General — 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: General,Geometry — Tags: — 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: General — 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: General — 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: General — m759 @ 6:00 pm

See also Dome Rock in this  journal.

Tuesday, December 5, 2017

Scully on Architecture

Filed under: General — 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: General — 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: General — 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: General — Tags: , , — m759 @ 8:42 pm

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

In the Service of Narrative

Filed under: General — m759 @ 12:00 am

See also posts tagged May 19 Gestalt.

Sunday, December 3, 2017

Number Two

Filed under: General — m759 @ 9:01 pm

The Unreliable Narrator

Filed under: General — 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: General — m759 @ 1:07 pm

See also Songs of Experience in this journal.

Friday, December 1, 2017

The Architect and the Matrix

Filed under: General,Geometry — Tags: — 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: 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

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

For those who prefer mathematics to narrative —

Wednesday, November 29, 2017

Definitions

Filed under: General,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: 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 — 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 — 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).

Thursday, November 16, 2017

Orison

Filed under: General — Tags: — m759 @ 11:59 pm

The title, which of course means "Prayer,"
may also mean "Smartphone"  — See
other Log24 posts tagged Orisons.

Detail from a Log24 post on May 21, 2005

A Line at Infinity

Filed under: G-Notes,General,Geometry — m759 @ 12:00 pm

Lost Horizon

Filed under: G-Notes,General,Geometry — m759 @ 11:29 am

Related material —

The following image in this journal

  .

Wednesday, November 15, 2017

Orison as Smartphone

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

Cloud Atlas , by David Mitchell (2004).

See also the previous post as well as
other posts now tagged Orisons.

In Thy Orisons

Filed under: General — Tags: — m759 @ 10:28 am

Midrash from
http://www.online-literature.com/forums/
showthread.php?16457-Decoding-Shakespeare

"It's an extremely complicated scene that needs a great deal of discussion
to fully appreciate. But essentially, Hamlet is arguing 'beauty' versus 'truth.'

And notice that Hamlet bases his whole argument on how beautiful Ophelia is,
as he sees her. There's the old saying, and it's perfectly true, that beauty is in
the eye of the beholder. As Hamlet looks at Ophelia, she's the most beautiful
thing he ever saw.

So we know how Hamlet feels about Ophelia, no matter what he says. When
he says he doesn't love her, he's lying through his teeth. If he didn't love her,
she wouldn't look so beautiful to him.

The Nunnery Scene is one of the great scenes in all of literature, and it's
beastly intricate and complicated. It's Hamlet's logical argument about truth
versus beauty, and as he says it to Ophelia, he's lyin' like a dog."

— "Amleth," 03-28-2006, 08:55 PM

See also this  journal on that date.

Tuesday, November 14, 2017

Dissident Bunk

Filed under: General — m759 @ 3:03 pm

Published today —

        One man's Bunk  is another man's  Dissident Gardens .

Monday, November 13, 2017

Plan 9 at Yale

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

Yale Professors Race Google and IBM to the First Quantum Computer

"So, after summer, in the autumn air, 
Comes the cold volume*  of forgotten ghosts,

But soothingly, with pleasant instruments, 
So that this cold, a children's tale of ice, 
Seems like a sheen of heat romanticized."

— Wallace Stevens,
"An Ordinary Evening in New Haven"

* Update of 10:20 the same evening:

An alternative to The Snow Queen  
as "the cold volume" of Wallace Stevens

On The King in the Window , by Adam Gopnik —

"The book is dedicated to Adam Gopnik's son,
Luke Auden, and his late, great godfathers,
Kirk Varnedoe and Richard Avedon.

'A fantasy that is as ambitious in theme,
sophisticated in setting, and cosmic in scope
as the works of Madeline L'Engle.

The unlikely eponymous hero is Oliver Parker,
an 11-year-old American boy living in Paris
with his mother and journalist father.
After he finds a prize in his slice of cake on
The Night of Epiphany and dons the customary
gilt-paper crown, the boy is plunged into
a battle over nothing less than control of the universe.

His enemy is the dreaded Master of Mirrors,
who rose to power during the reign of Louis XIV,
when Parisians developed technology for making
sheet glass. This faceless, evil being,
capable of capturing souls
through mirrors and enslaving them
in an alternate world that lies beyond all mirrors,
now seeks to dominate the entire universe by
mounting a quantum computer on the Eiffel Tower.

Oliver's mission is to defeat the Master of Mirrors
and save his father's stolen soul.' "

— Description at https://biblio.co.nz/. . . .

New from Harlan Kane

Filed under: General — m759 @ 1:23 pm

"I wrote another book!" — Harlan Kane

The Crimson Staff

In Nomine Patris

Filed under: General — Tags: — m759 @ 12:28 pm

See also Norbert Wiener  in this  journal  and

Related material for the Church of Synchronology

The Log24 post on the above New York Times  death date.

Sunday, November 12, 2017

Alice

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

John Malkovich in the closing scene of
the recent film "Unlocked" —

1055
01:31:49,801 –> 01:31:53,301
We have time for a coffee.
There's a pastry shop by the river.

1056
01:31:54,092 –> 01:31:55,842
Excellent strudel.

Review

Filed under: General,Geometry — m759 @ 7:04 pm
 

Sunday, October 29, 2017

File System… Unlocked

Filed under: Uncategorized — m759 @ 2:16 PM 

. . . .

"Wikipedia's first true logo . . . . included a quote from the preface
of Euclid and His Modern Rivals  by Lewis Carroll . . . ." 

. . . .

Related dialogue from the new film "Unlocked" —

1057
01:31:59,926 –> 01:32:01,301
Nice to have you back, Alice.

1058
01:32:04,009 –> 01:32:05,467
Don't be a stranger.

See as well Chloë Grace Moretz portraying  a schoolgirl problem.

Meta Property

Filed under: General — m759 @ 12:36 pm

<meta property="article:published" itemprop="datePublished"
content="2017-11-12T12:05:08-05:00" />

Related entertainment —

Devil’s Music

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

From the groom in the previous post — Swedenborg Chapel

And from November 7 last year —

Monday, November 7, 2016

Subway Art for Times Square Church

Filed under: Uncategorized — m759 @ 9:11 PM

Click images for related material.

http://www.log24.com/log/pix12/120108-CardinalPreoccupied.jpg

The Cardinal seemed a little preoccupied today.

Swedenborg Chapel

Filed under: General — m759 @ 11:02 am

 

See a related political note from the bride.

Saturday, November 11, 2017

For Your Consideration

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

From today's online Wall Street Journal

A synchronology check of the above 2015 Taylor Swift date —

The above remarks suggest Swift as a possible presidential candidate:

From The Harvard Crimson  on Halloween

 .

Dating

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

Related material —

Michael Sudduth in this journal and an October 28, 2017,
Facebook post by Sudduth.

Friday, November 10, 2017

The Rogin Gambit

Filed under: General — m759 @ 7:59 pm

See today's New York Times  Rogin obituary.

"What happens next?"
Good question.

See also this  journal on November 4.

Influenz

Filed under: General — m759 @ 6:00 pm

Influenz , by Paul Klee —

A Mathematician’s Apology

Filed under: General — m759 @ 4:00 pm

(Click to enlarge.)

For the paper on Steiner systems, see the bibliographic link in
the previous Log24 post.

See as well Cameron's posts before and after his post above:

     .

Annals of Rarefied Scholarship

Filed under: General,Geometry — m759 @ 3:00 pm

From Cambridge Core, suggested by a reference to
that website in the previous post and by the following
bibliographic data . . .

https://doi.org/10.1017/fmp.2016.5

Downloaded from https://www.cambridge.org/core
on 10 Nov 2017 at 19:06:19 

See Conwell + Princeton in this journal.

Related art —

Style

Filed under: General — Tags: — m759 @ 6:38 am

“Johann Georg Hamann (1730-88) is, by any measure, an obscure figure,
little known outside the exclusive circles of a certain very rarefied kind of
scholarship, hardly read at all even in his native Germany, and perhaps
truly understood by next to no one. And yet . . . .”

— “The Laughter of the Philosophers,” by David Bentley Hart,
First Things , January 2005

Update at 7 the same morning . . .

Meanwhile, back in 1963

Cambridge 38 and the Fire Pit

and at 7:15 the same morning, from a different Cambridge

Thursday, November 9, 2017

Aesthetics: A Reading

Filed under: General — m759 @ 11:07 pm

A source for 'Aesthetica in Nuce' from Cambridge University Press

See also posts from St. Andrew's Day now tagged "In Nuce." 

Anti-Christian Rumor at St. Andrews

Filed under: General — m759 @ 3:14 pm

The St. Andrews in Focus  article is not available online.
That periodical is not affiliated with the University  of St. Andrews.

A University  of St. Andrews source —  "Honorary Reader" Peter Maxwell-Stuart — 
contradicts the above tale about the Archbishop of St. Andrews.

See his scholarly account in the following book —

See particularly pages 98, 99, 100, 101,
102, 103104, 105, 106, and 107.

Wednesday, November 8, 2017

Dyadic

Filed under: General — m759 @ 11:00 am

See also ICERM and Dyadic in this journal.

Tuesday, November 7, 2017

Polarities and Correlation

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

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

'Knight' octad labeling by the 8 points of the projective line over GF(7) .

The Seventh Symbol Revisited

Filed under: General — m759 @ 12:00 pm

The image “http://www.log24.com/log/pix06A/060830-Box.jpg” cannot be displayed, because it contains errors.

The above square is from
a post of Aug. 30, 2006.

Monday, November 6, 2017

The Chomsky Koan

Filed under: General — Tags: — m759 @ 12:45 pm

"Colorless green ideas sleep furiously   is a sentence
composed by Noam Chomsky in his 1957 book 
Syntactic Structures  as an example of a sentence 
that is grammatically correct, but semantically nonsensical."

Wikipedia article on the sentence

Buddhist midrash from The New York Times  today

"For example, psychology has lately started to let go of its
once-sharp distinction between 'cognitive' and 'affective' 
parts of the mind; it has started to see that feelings are so
finely intertwined with thoughts as to be part of their very
coloration." 

See also other recent Log24 posts now tagged Coloration.

Castle Rock…

Filed under: General — m759 @ 12:00 pm

According to a comment on the latest Instagram
post of Oslo artist Josefine Lyche —
 

🏰💎.


See also "Castle Rock" in this  journal.

Babble On

Filed under: General — Tags: , — m759 @ 4:04 am

A midrash on the previous post, "Spectrum at the Center" . . .

In lieu of Judy Garland singing "Somewhere Over the Spectrum," 
a flashback to a post from 2013 —

Sunday, September 15, 2013

Babble On

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

“ ’A babbled of green fields
— Phrase attributed to Shakespeare

Red to Green

ROYGBIV

Ite, missa est.

Sunday, November 5, 2017

Spectrum at the Center

Filed under: General — Tags: , — m759 @ 12:48 pm

The top article in the New York Times Wire  list below is about
a new play that opened at the Sheen Center on All Souls' Day.

Friday

Filed under: General — m759 @ 12:00 pm

Trinity

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

A model of the smallest projective  line:

Related drama:  See Wicker Man in this journal.

Saturday, November 4, 2017

Seven-Cycles in an Octad

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

Figures from a search in this journal for Springer Knight
and from the All Souls' Day post The Trojan Pony

     Binary coordinates for a 4x2 array  Chess knight formed by a Singer 7-cycle

For those who prefer pure abstraction to the quasi-figurative
1985 seven-cycle above, a different 7-cycle for M24 , from 1998 —


Compare and contrast with my own "knight" labeling
of a 4-row 2-column array (an M24 octad, in the system
of R. T. Curtis)  by the 8 points of the projective line
over GF(7),  from 2008 —

'Knight' octad labeling by the 8 points of the projective line over GF(7)

Friday, November 3, 2017

You Can Ride

Filed under: General — m759 @ 12:31 pm

(Continued from the previous post, The Trojan Pony.)

Stevie Nicks- 'High atop your pony'

Thursday, November 2, 2017

The Trojan Pony

Filed under: G-Notes,General,Geometry — Tags: — m759 @ 7:31 pm

From a search in this journal for Springer Knight

     Binary coordinates for a 4x2 array  Chess knight formed by a Singer 7-cycle

Related material from Academia —

Nash and Needleman, 'On Magic Finite Projective Space,' Dec. 4, 2014

See also Log24 posts from the above "magic" date,
December 4, 2014, now tagged The Pony Argument.

Of Many Changes

Filed under: General — m759 @ 11:40 am

Thanks to Emily Wilson and Wyatt Mason for an excellent
discussion in today's online New York Times  on Wilson's
new translation of Homer's Odyssey  (to be released Nov. 7).

A detail from the Wilson-Mason article —

See as well

History of Mathematics for All Souls’ Day

Filed under: General — m759 @ 9:00 am

Schoolgirl Problem  

"Buy this image" . . . Or not.

Related material from the date of the above photo —

For related drama, see "Child's Play" in this journal.

Wednesday, November 1, 2017

Many Years

Filed under: General,Geometry — m759 @ 9:00 pm

From Tony Phillips's American Mathematical Society column
for November 2017 —

" It is significant that the authors chose to place this announcement
of their results not in a mathematics journal but in one aimed at a
much larger scientific audience; their writing is appropriately
expository, especially in the introduction. Nature  itself ran an 
assessment of the paper in their 'News and Views' section,
October 4: 'Mathematics: A pariah finds a home,' by Terry Gannon.
Gannon sets the stage, again in terms suitable for wide consumption,
and sketches out the story. He ends 'It is always difficult to gauge
the importance of a mathematical result without the hindsight
that many years brings.
Nevertheless, Duncan et al.  have shown us
a door. Whether it is to a new closet, house or world, we cannot yet say,
but the results are certainly unexpected, and no one will think of
the pariahs in the same way again.' "

See as well Log24 on the above date — Text and Context.

Cameron on All Saints’ Day

Filed under: General,Geometry — Tags: , — m759 @ 2:01 pm

"Nowdays, Halloween involves plastic figures of ghosts and bats
bought from the supermarket; this is driven by commerce and
in some people’s view is an American import. But it is clear that
this time of year was traditionally regarded as one where the barrier
between this world and the other was low, and supernatural
manifestations were to be expected."

Peter J. Cameron today.

Remarks related to another "barrier" and vértigo horizontal

See also a search for  Horizon + "Western Australia"  in this  journal.

From that search:  A sort of horizon, a "line at infinity," that is perhaps
more meaningful to most Cameron readers than the above remarks
by Borges —

Aleph Meets Zahir

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

For the "Aleph" of the title in the seal of
the College of the Desert, see the final post
in a search for the College in this journal.

A better-known Aleph appears in a story by Borges.
See Borges + Aleph in this journal.

For the "Zahir" of the title, see another story by Borges
and the coin scenes in the films "No Country for Old Men"
(2007) and "Mojave" (2015).

The word "Zahir" has appeared previously in this journal
in a post of January 11, 2011, Soul and Spirit.

Tuesday, October 31, 2017

One Fell Shmoop

Filed under: General — m759 @ 12:48 pm

https://www.shmoop.com/no-country-for-old-men/coin-symbol.html —

"You know the date on this coin?"

Related material —

This journal on March 7, 2014

From Klein’s 1893  Lectures on Mathematics —

The varieties introduced by Wirtinger may be called 
  Kummer varieties….” — E. Spanier, 1956

From the "varieties introduced by Wirtinger" link above —

 .

For All Hallows’ Eve

Filed under: General — m759 @ 11:00 am

See the previous post and College of the Desert in this journal.

From the latter, see particularly Slide 69 in Geoff Hagopian's Symmetry.

Monday, October 30, 2017

For Devil’s Night

Filed under: General — Tags: — m759 @ 11:25 pm

Location,  Location,  Location

From a Los Angeles Times  piece on Epiphany (Jan. 6), 1988 —

“Some 30 paces east of the spooky old Chateau Marmont is
the intersection of Selma and Sunset Boulevard.” . . . .
“Though it is not much of an intersection, the owner of
the liquor store on that corner might resent that you have
slotted his parking lot in the Twilight Zone. . . .
And directly across Sunset from Selma looking south is
where the infamous Garden of Allah used to stand. . . .”

ID

Filed under: General,Geometry — m759 @ 10:28 pm

The Lore and Language of Dan Brown

Filed under: General — m759 @ 8:18 pm

In memory of  two beloved folklorists

"Iona Opie, a British folklorist who worked with her husband,
Peter, to produce major studies of nursery rhymes as well as
the oral traditions of games, jokes, nicknames, taunts and
pranks among schoolchildren, died on Oct. 23 in the town of
Petersfield, in Hampshire, England. She was 94."

The New York Times  this evening

Scholium on this  journal's remarks of October 23

"Hello there, Dapper Dan, where were you when …."

Plato and His Modern Rivals

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

The previous post's Lewis Carroll cover,
modified to illustrate Plato's diamond

Book cover modified to illustrate 'Plato and His Modern Rivals'

See also "To Forge
a Head
" (Oct. 27).

Sunday, October 29, 2017

Rivals

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

The passage from Lewis Carroll's Euclid and His Modern Rivals 
in the previous post suggests two illustrations —

Click the Trudeau book for related Log24 posts.

File System… Unlocked

Filed under: General,Geometry — Tags: — m759 @ 2:16 pm

Logo from the above webpage

See also the similar structure of  the eightfold cube,  and

Related dialogue from the new film "Unlocked"

1057
01:31:59,926 –> 01:32:01,301
Nice to have you back, Alice.

1058
01:32:04,009 –> 01:32:05,467
Don't be a stranger.

Sunday in the Park

Filed under: General — Tags: — m759 @ 1:18 pm

http://www.abc.net.au/news/2017-10-29/
mexico-city-day-of-dead-parade-honours-quake-rescuers/
9097134

Scholium —

Related material —  Sunday in the Park  in this  journal.

Damnation… Or Not?

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

Related material —

Faust Vivifies Death with Wit and Humor
by April H. N. Yee, Harvard Crimson , Feb. 7, 2008.

See as well all posts now tagged Willow and Mandorla.

Saturday, October 28, 2017

Lowell Brown at Vanity Fair

Filed under: G-Notes,General,Geometry — Tags: — m759 @ 8:18 pm

A sequel to the post  CP  is for Consolation Prize  (Sept. 3, 2016)

An image from Log24 on this date last year:

A recent comment on a discussion of CP symmetry

Dating Harvard

Filed under: General — m759 @ 12:00 pm

(Continued from 10 AM)

"Think of a DO NOT ENTER  pictogram,
a circle with a diagonal slash, a type of ideogram.
It tells you what to do or not do, but not why.
The why is part of a larger context, a bigger picture."

— Customer review at Amazon.com

Layered and Crisscrossed

Filed under: General — m759 @ 11:45 am

The title is from the previous post —

"It’s an aesthetic that presents,
so to speak, just the facts, 
as if the facts themselves weren’t
deeply layered with living history
and crisscrossed with vectors
of divergent ideas and ideals."

Richard Brody, Thursday, Oct. 26, 2017

From Brody's New Yorker  contributor page —

"Reading List:  Richard Brody recommends
Louis Menand’s “Browbeaten,” about Dwight Macdonald."

Just the Facts

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

The New Yorker  on the recent film "The Square"

"It’s an aesthetic that presents,
so to speak, just the facts, 
as if the facts themselves weren’t
deeply layered with living history
and crisscrossed with vectors
of divergent ideas and ideals."

— Richard Brody, Thursday, Oct. 26, 2017

For other images deeply layered  and crisscrossed ,
see Geometry of the I Ching.

Dating Harvard

Filed under: General,Geometry — Tags: — m759 @ 10:00 am

See also this journal on today's date four years ago.

Friday, October 27, 2017

To Forge a Head

Filed under: G-Notes,General,Geometry — Tags: — m759 @ 12:25 pm

The title was suggested by a 2014 Vanity Fair  piece
by James Toback (Harvard '66).

"He squinted at this vision of a Qualityless world for a while,
conjured up more details, thought about it, and then squinted
some more and thought some more and then finally circled
back to where he was before.

Squareness.

That's the look. That sums it. Squareness. When you subtract
quality you get squareness. Absence of Quality is the essence
of squareness."

— Robert M. Pirsig, Zen and the Art of Motorcycle Maintenance

And when you add  quality?

A related Zen joke from Final Club (June 19, 2017) —

.

Finite Geometry at Zenodo

Filed under: General,Geometry — Tags: — m759 @ 11:32 am

DOI

Thursday, October 26, 2017

To Forge Ahead

Filed under: General — m759 @ 9:48 pm

"Harvard Man" director James Toback (Harvard '66) in 2014 —

Film director James Toback on maintaining 'the energy to forge ahead'

See also, in this  journal, Preparation (April 1, 2013) —

A Center

Filed under: General,Geometry — Tags: — m759 @ 8:40 pm

This post was suggested by a New York Times  obituary this evening —

"Tom Mathews, Promoter of Liberal Causes and Candidates, Dies at 96."

Mathews reportedly died on October 14, 2017.

"Mr. Mathews and his business partner Roger Craver 'dreamed for years
of finding the perfect citizen-candidate,' the authors wrote, 'a man or
woman of the center-left with a feel for issues, a history of independence,
a winning television manner and, most important of all, a center — a core
of beliefs more important to him or her than getting elected.'

Dream on.

From the date of Mathews's death:

Posts now tagged A Center for Krauss

"Let no one ignorant of geometry enter"

SourceForge Finite Geometry Download

Filed under: General,Geometry — m759 @ 2:22 pm

Wednesday, October 25, 2017

To the Egress

Filed under: General — Tags: — m759 @ 9:24 pm

The New York Times  at 8:22 PM ET

"Knight Landesman, a longtime publisher of Artforum magazine
and a power broker in the art world, resigned on Wednesday
afternoon, hours after a lawsuit was filed in New York accusing
him of sexually harassing at least nine women in episodes that
stretched back almost a decade."

See as well, in this  journal, Way to the Egress.

The Palo Alto Edge

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

From Stanford — The death on October 9, 2017, of a man who
“always wanted to be at the most cutting of cutting-edge technology.”

Related material from Log24 on April 26, 2017

A sketch, adapted from Girl Scouts of Palo Alto —

Click the sketch for further details.

Harvard Canvas

Filed under: General — m759 @ 12:00 pm

Background:

https://canvas.harvard.edu/files/1075839/
download?download_frd=1
&verifier=hF1KBmm7pQJkJxgQ3lXk7qDlPWIhSQ89qrlnceIM
.

See posts now tagged Slab.

The Source (Not by Michener)

Filed under: General — m759 @ 11:18 am
 

Wikipedia:  Taiji (philosophy)

Etymology

The word 太極 comes from I Ching : "易有太極,是生兩儀,兩儀生四象,四象生八卦,八卦定吉凶,吉凶生大業。"

Taiji  (太極) is a compound of tai   "great; grand; supreme; extreme; very; too" (a superlative variant of da   "big; large; great; very") and ji   "pole; roof ridge; highest/utmost point; extreme; earth's pole; reach the end; attain; exhaust". In analogy with the figurative meanings of English pole, Chinese ji  極 "ridgepole" can mean "geographical pole; direction" (e.g., siji  四極 "four corners of the earth; world's end"), "magnetic pole" (Beiji  北極 "North Pole" or yinji  陰極 "negative pole; cathode"), or "celestial pole" (baji  八極 "farthest points of the universe; remotest place"). Combining the two words, 太極 means "the source, the beginning of the world".

Common English translations of the cosmological Taiji  are the "Supreme Ultimate" (Le Blanc 1985, Zhang and Ryden 2002) or "Great Ultimate" (Chen 1989, Robinet 2008); but other versions are the "Supreme Pole" (Needham and Ronan 1978), "Great Absolute", or "Supreme Polarity" (Adler 1999).

Tuesday, October 24, 2017

Visual Insight

Filed under: G-Notes,General,Geometry — m759 @ 1:00 pm

The most recent post in the "Visual Insight" blog of the
American Mathematical Society was by John Baez on Jan. 1, 2017


A visually  related concept — See Solomon's Cube in this  journal.
Chronologically  related — Posts now tagged New Year's Day 2017.
Solomon's cube is the 4x4x4 case of the diamond theorem — 

Monday, October 23, 2017

Plan 9 Continues

Filed under: G-Notes,General,Geometry — m759 @ 9:00 pm

Click for some background

Another approach, for Dan Brown fans —

In the following passage, 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.

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