Monday, January 8, 2018


Filed under: Uncategorized — m759 @ 12:00 AM

Sunday, January 7, 2018


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


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

     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


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



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


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


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 —


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."


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 —


Note the whatness of Singer's  dagger definitions —


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


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


Filed under: Uncategorized — m759 @ 8:00 PM

Justin E. H. Smith

Detail from a Log24 post of last Sunday


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


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 . . .



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 . . .


Sunday, December 10, 2017


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)


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 .


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


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


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 — 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: Uncategorized — m759 @ 2:45 PM

For those who prefer mathematics to narrative —

Wednesday, November 29, 2017


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.

Monday, November 27, 2017

Aesthetic Qualities

Filed under: Uncategorized — m759 @ 3:10 PM

See also Sunday's Upper West Side Story.

The Golay Code via Witt’s Construction

Filed under: Geometry — Tags: — m759 @ 2:08 PM


Hansen, Robert Peter, "Construction and Simplicity of
the Large Mathieu Groups" (2011). Master's 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: Uncategorized — 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 

Saturday, November 25, 2017

Night at the Museum

Filed under: Uncategorized — 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


Filed under: Uncategorized — 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


Filed under: Uncategorized — 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'


The Typewriter Fixer

Filed under: Uncategorized — m759 @ 5:37 PM

Adelman reportedly died on Wednesday, November 22, 2017.

The Matrix Meets the Grid

Filed under: 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: Uncategorized — 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


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

​Claude Lévi-Strauss

From "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  (Basic Books, 1976. and 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: Uncategorized — Tags: — m759 @ 11:00 PM

David E. Wellbery on Goethe

From an interview published on 2 November 2017 at


as later republished in 



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

Washington Post  dateline . . .

November 20 at 6:34 PM

Address . . .

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.


Filed under: Uncategorized — 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: Uncategorized — 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: Geometry — m759 @ 8:00 PM

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

Other Entertainment

Filed under: Uncategorized — m759 @ 11:02 AM

Suggested by the previous post


" '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).


Filed under: Uncategorized — 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: Geometry — m759 @ 4:44 AM

James Propp in the current Math Horizons  on the eightfold cube

James Propp on the eighfold cube

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

Thursday, November 16, 2017


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

Lost Horizon

Filed under: Geometry — m759 @ 11:29 AM

Related material —

The following image in this journal


Wednesday, November 15, 2017

Orison as Smartphone

Filed under: Uncategorized — 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: Uncategorized — Tags: — m759 @ 10:28 AM

Midrash from

"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: Uncategorized — 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: Uncategorized — 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: Uncategorized — m759 @ 1:23 PM

"I wrote another book!" — Harlan Kane

The Crimson Staff

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