Tuesday, October 16, 2018


Filed under: Uncategorized — m759 @ 9:11 PM

For the title, see the Wikipedia article on the late Paul Allen.

See also . . .

Related material — the late Patrick Swayze in Ghost and King Solomon's Mines.

"Please wait as your operating system is initiated."


Literary Relations

Filed under: Uncategorized — m759 @ 2:03 PM

See also Log24 on November 7, 2016.

Hen Scratches

Filed under: Uncategorized — Tags: — m759 @ 1:18 PM

Robert M. Adams on Finnegans Wake 
in The New York Times 
on Sunday, January 18, 1987:

"There is a great passage in the 'Wake' where Joyce — if he was not
just a phantasm in the mind of HCE — appears to address his reader
directly, jocularly and sympathetically:

'You is feeling like you was lost in the bush, boy? You says:
It is a puling sample jungle of woods. You most shouts out:
Bethicket me for a stump of a beech if I have the poultriest
notions what the farest he all means. Gee up, girly!'

For there's a bird in the case, and if we follow her hen scratches,
we may be able to 'pick a peck of kindlings yet from the sack of
auld hensyne.' That's what keeps the 'Wake' fellowship awake at night . . . ."

Not to mention "skreaking and skrittering" —

Monday, October 15, 2018

History at Bellevue

Filed under: Uncategorized — Tags: — m759 @ 9:38 PM

The previous post, "Tesserae for a Tesseract," contains the following
passage from a 1987 review of a book about Finnegans Wake

"Basically, Mr. Bishop sees the text from above
and as a whole — less as a sequential story than
as a box of pied type or tesserae for a mosaic,
materials for a pattern to be made."

A set of 16 of the Wechsler cubes below are tesserae that 
may be used to make patterns in the Galois tesseract.

Another Bellevue story —

“History, Stephen said, is a nightmare
from which I am trying to awake.”

— James Joyce, Ulysses

Tesserae for a Tesseract

Filed under: Uncategorized — Tags: — m759 @ 8:22 PM

The source —

The Other Side

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

"As far as I know, there is no escape for mortal beings from time.
But experimental ideas of practical access to eternity
exerted tremendous sway on educated, intelligent, and forward-
looking people in the late nineteenth and early twentieth centuries,
with a cutoff that was roughly coincident with the First World War.
William James died in 1910 without having ceased to urge
an open-minded respect for occult convictions."

New Yorker  art critic Peter Schjeldahl in the Oct. 22, 2018, issue.

Also in that issue —

For Zingari Shoolerim*

Filed under: Uncategorized — Tags: — m759 @ 12:19 PM

IMAGE- Site with keywords 'Galois space, Galois geometry, finite geometry' at DiamondSpace.net

The structure at top right is that of the
in the previous post.

* "Zingari shoolerim" is from
    Finnegans Wake .

Daily Maro

Filed under: Uncategorized — Tags: — m759 @ 12:08 AM

From a post of May 21, 2004

A comment on that post —

"Oh yeah – MARO means bread in Romani – pretty cool, huh?" 

See also a New Yorker  piece from the Oct. 15, 2018, issue —


Sunday, October 14, 2018


Filed under: Uncategorized — m759 @ 10:00 AM

New and old AMS logos —

I prefer the old.  Related material —

For an old Crosswicks curse, see that phrase in this journal.

For a new curse, see . . .

    "Unsheathe your dagger definitions." — James Joyce.

Saturday, October 13, 2018

Corinthian Style

Filed under: Uncategorized — m759 @ 3:20 PM

The previous two posts discussed the Twitter account of
the author of a New York Times  opinion column published
online today. From a rather different Twitter —

Location: Endor

Filed under: Uncategorized — Tags: — m759 @ 2:26 PM

See also Space Writer in this  journal.

Space 101

Filed under: Uncategorized — Tags: — m759 @ 1:01 PM

Screenshot of a tweet by space writer Shannon Stirone
posted at 10:57 PM ET October 12 —

See also NASA + Wiig.

Stirone has an opinion piece in today's online New York Times  promoting NASA.

Discussing the Hubble Space Telescope, she claims that . . .

"Hubble peers deep into space, patiently collecting the universe’s traveling light,
then delivering it to us in never before seen images: galaxies, supernovas and
nebulae. It is a time machine. And without it we wouldn’t know we are inside
a galaxy that is just one of possibly trillions."


Filed under: Uncategorized — m759 @ 12:00 PM

Monday, January 8, 2018


Filed under: Uncategorized — m759 @ 12:00 AM 

See also the previous post.

Particular Values

Filed under: Uncategorized — m759 @ 11:01 AM

See also Hobsbawm in this journal.

Friday, October 12, 2018

Spooky Moonrise

Filed under: Uncategorized — m759 @ 7:31 PM

Kristen Wiig leaving bookstore in 
"Comedians in Cars Getting Coffee," S9E1 —

A Windows 10 lockscreen image — "Spooky Moonrise Over Lake":

Thursday, October 11, 2018

Bum Tip

Filed under: Uncategorized — m759 @ 10:10 PM

For a more academic meditation, see University Diaries  today.


Filed under: Uncategorized — m759 @ 2:07 PM

The word "adcraft" in the previous post suggests adman Cary Grant
in "North by Northwest," which in turn suggests a Log 24 post from 
Tuesday, March 4, 2014:


"Mr. Kaplan, you are quite the performer."

That  post was suggested by . . .

See also Log24 posts of Sunday, March 2, 2014 — Oscar Day.


Filed under: Uncategorized — m759 @ 1:00 PM

Related adcraft — "Harry Potter and the Philosopher's Stone"
became, for the U.S. market, "… and the Sorcerer's Stone."

Wednesday, October 10, 2018

Witch Luck *

Filed under: Uncategorized — m759 @ 7:35 PM

*  And Omensetter's  * . . .

Quoted here on Dec. 14, 2017

— Justin E. H. Smith


“Crossword Omen” Continues.

Filed under: Uncategorized — m759 @ 12:14 PM

An image from earlier Log24 posts tagged Crossword Omen

Portrait, in the 2013 film Oblivion , of  a 2005 graduate
of London's Royal Academy of Dramatic Art —

London derrière.


Filed under: Uncategorized — m759 @ 10:17 AM

On the answers to the puzzle discussed here last night

"Look, this is a complicated theme, but it was no help to me
while solving and feels like an elaborate joke that the teller
has to explain, where you're like 'Oh … yeah, that's clever.'
But you didn't laugh."

— Today's "Rex Parker Does the NYT Crossword Puzzle"

A Stitch in Time

Filed under: Uncategorized — m759 @ 9:00 AM

The above October 7th screenshot is of a New York Times  ad in the
"Business Day" section that accompanied a story with the headline 

"Pret a Manager . . . ." [sic ].

The error was corrected:

Tuesday, October 9, 2018

Nicht Spielerei

Filed under: Uncategorized — m759 @ 10:48 PM


A YouTube description —

"Walter Klien performing Mozart's 12 Variations in C Major
on the French Song: "Ah vous dirai-je, Maman" K.265 on
the piano. Used in Twinkle Twinkle Little Star, Baa Baa
Black Sheep, and the Alphabet Song."


"Published on May 23, 2010"

See also this  journal on May 23, 2010 —

Posts now tagged Death Story.

Related material —


Filed under: Uncategorized — m759 @ 12:00 PM

Breadcrumbs for Sophia

Filed under: Uncategorized — m759 @ 12:08 AM

"Spiel ist nicht Spielerei." — Fröbel

See also Gretel in posts from January 24, 2013.

Monday, October 8, 2018

Four Slashes

Filed under: Uncategorized — m759 @ 9:17 PM

"Four slashes of one size fits all.
It should not fit you."

— Alyssa Milano, "A Survivor's Prayer"

Milano's reference was to the hashtag symbol.

For another view of this symbol, see Pound Sign.

Some less popular "four slashes" art from Milan —

The Milano Fork

Filed under: Uncategorized — m759 @ 10:41 AM

"When you come to a fork in the road…"

IMAGE- Alyssa Milano as a child, with fork


Filed under: Uncategorized — m759 @ 12:38 AM

IMAGE-- Matt Damon stands where a door opens in 'Hereafter'

Note that some have to stop and some don't.

This  journal on the above date, 5 July 2008 —

"Review by Charles Isherwood in today’s New York Times :

A god deserves a great entrance. And Dionysus, the god of wine
and party boy of Mount Olympus, whose celebratory rituals got
the whole drama thing rolling in the first place, surely merits a
spectacular one….”

Sunday, October 7, 2018

In the Bag

Filed under: Uncategorized — m759 @ 7:55 AM

"Skip the preface, and it's in the bag!" — Nabokov

See also Shattuck in this journal and . . .

Saturday, October 6, 2018

Smart Drug

Filed under: Uncategorized — m759 @ 10:00 PM

For Shoshana

Filed under: Uncategorized — m759 @ 8:45 PM

See Shoshana, Frame Tale, and Artistic Vision.

Au Revoir, Cosette

Filed under: Uncategorized — m759 @ 2:56 PM

Mary Stewart, 'The Little Broomstick'


Filed under: Uncategorized — m759 @ 1:00 PM

Friday, October 5, 2018

The “Ignotiles” of Paul Hertz

Filed under: Uncategorized — m759 @ 3:09 PM

The above figure illustrating 24 permutations is dated "2007."

An earlier permutations figure, archived on June 17, 2006 —

An illustration of the above title "I Want To Be a Mathematician" —

Wanting does not make it so.

Thursday, October 4, 2018

Mage Studies: Art vs. Bullshit

Filed under: Uncategorized — m759 @ 10:32 PM


From an October 3 post


From an academic's website —


Filed under: Uncategorized — m759 @ 9:00 PM

The previous post suggests a review of . . .

Broomsday 2004.

The image “http://www.log24.com/log/pix04B/041016-Poster2.jpg” cannot be displayed, because it contains errors.

Art Trail

Filed under: Uncategorized — m759 @ 12:13 PM

“There’s always a place at the edge of our knowledge,
where what’s beyond is unimaginable, and that edge,
of course, moves.” — Physicist Leon Lederman in
The New York Times  yesterday afternoon.

An image from Florence, SC

Click image for related material.

Wednesday, October 3, 2018

Nobel Literature Prize

Filed under: Uncategorized — m759 @ 9:20 PM

The New York Times  today —

Leon Lederman, 96, Explorer (and Explainer) of
the Subatomic World, Dies

By George Johnson

Oct. 3, 2018

Leon Lederman, whose ingenious experiments with particle accelerators
deepened science’s understanding of the subatomic world, died
early Wednesday in Rexburg, Idaho. He was 96.

His wife, Ellen Carr Lederman, confirmed the death, at a care facility.
She and Dr. Lederman, who had long directed the Fermi National Accelerator
Laboratory outside Chicago, had retired to eastern Idaho.

"… novelist, poet and minister George MacDonald . . . ."

See as well Jess Lederman, Investment Banker.

"I have three children with my first wife, Florence Gordon.
Daughter Rena is an anthropologist,
son Jesse is an investment banker
and daughter Rachel a lawyer."

— Leon Lederman at nobelprize.org.

Adamantine Meditation

Filed under: Uncategorized — m759 @ 12:24 PM


A Catholic philosopher —

Related art —

Image result for mog miracle octad bricks

Tuesday, October 2, 2018

Raiders of the Lost Crucible

Filed under: Uncategorized — Tags: — m759 @ 11:22 AM

See other posts now tagged Crucible Raiders.

Related entertainment —

From YouTube:

From NBC:

For more from the above date,
Oct. 8, 2016, click "seriously" below.

But seriously

Sunday, September 30, 2018


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

Click the above for an example.

Iconology of the Eightfold Cube

Filed under: Uncategorized — Tags: — m759 @ 11:13 AM

Found today in an Internet image search, from the website of
an anonymous amateur mathematics enthusiast

Forming Gray codes in the eightfold cube with the eight
I Ching  trigrams (bagua ) —

Forming Gray codes in the eightfold cube with the eight I Ching trigrams (bagua)

This  journal on Nov. 7, 2016

A different sort of cube, from the makers of the recent
Netflix miniseries "Maniac" —

See also Rubik in this  journal.

Saturday, September 29, 2018

“Ikonologie des Zwischenraums”

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

The title is from Warburg. The Zwischenraum  lines and shaded "cuts"
below are to be added together in characteristic two, i.e., via the
set-theoretic symmetric difference  operator.

Some small Galois spaces (the Cullinane models)

Friday, September 28, 2018


Filed under: Uncategorized — m759 @ 4:48 PM

ART WARS Midrash

Filed under: Uncategorized — m759 @ 9:00 AM

"When times are mysterious
Serious numbers
Will always be heard."
— Paul Simon,
"When Numbers Get Serious"

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

— H. S. M. Coxeter, introduction to Richard J. Trudeau's remarks
on the "story theory" of truth as opposed to the "diamond theory"
of truth in The Non-Euclidean Revolution  (1987)

The deaths of Roth and Grünbaum on September 14th,
The Feast of the Holy Cross, along with Douthat's column
today titled "Only the Truth Can Save Us Now," suggest a
review of

Elements of Number Theory, by Vinogradov .

Thursday, September 27, 2018

Branko Grünbaum, 1929-2018

Filed under: Uncategorized — m759 @ 7:59 PM

See an American Mathematical Society obituary
and a Seattle Times  obituary.

Cube Meditation

Filed under: Uncategorized — m759 @ 1:12 PM

See also "Eternal Recreation" (Christmas Eve, 2012).

Wednesday, September 26, 2018

Analogies Between Analogies

Filed under: Uncategorized — m759 @ 8:05 PM

On the new Netflix series "Maniac" —

(Spoiler alert)

"The treatment Owen and Annie sign up for promises to fix
its subjects’ brains with just three little pills—A, B, and C—
administered one after another over the span of three days.
The first forces you to relive your trauma;
the second exposes your blind spots; and
the third pill forces a confrontation."

— Kara Weisenstein at vice.com, Sept. 26, 2018, 12:19 PM

See also, from Log24 earlier 

A.  Monday — Mathematics as Art
B.  Tuesday — Trinity and Denkraum  Revisited
C.  Wednesday — Trinity Tale

'Out of nothing' opening of 'Maniac' at Netflix

Trinity Tale

Filed under: Uncategorized — m759 @ 11:34 AM

For Flowers and  Brown —

See also, in this  journal, A Fellow of Trinity . 

Tuesday, September 25, 2018

Denkraum Revisited

Filed under: Uncategorized — m759 @ 6:00 PM

See also this  journal on Sept. 14
and related posts tagged Interstice.


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

See some posts related to three names
associated with Trinity College, Cambridge —

Atiyah + Shaw + Eddington .

Monday, September 24, 2018

Mathematics as Art

Filed under: Uncategorized — m759 @ 8:45 AM

[Revised throughout the day on Sept. 24, 2018.]

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

— Sir Michael Atiyah, quoted here on April 4, 2016

Atiyah's remarks today on the Riemann hypothesis, based on his earlier
remarks on "arithmetic physics" and α, the fine-structure constant,
seem to exemplify the "magic and mystery" approach.

From some previous Log24 posts

AMS on 'mathematics, magic, and mystery,' April 2014

MAA on 'mathematics, magic, and mystery,' April 2014

Update of 6:06 PM ET the same day —


For related magic and mystery, see Log24 posts tagged on090405.

Sunday, September 23, 2018

Three Times Eight

Filed under: Uncategorized — Tags: — m759 @ 9:21 AM

The New York Times 's Sunday School today —

I prefer the three bricks of the Miracle Octad Generator —

Image result for mog miracle octad bricks

Saturday, September 22, 2018

Minimalist Configuration

Filed under: Uncategorized — Tags: — m759 @ 11:03 PM

From the previous post

From Wikipedia

From Log24

The Venturi Manifesto

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

Venturi reportedly died on Tuesday, September 18.*

See also this journal on that date.

* Fact check:

Symmetric Generation, by Curtis

Filed under: Uncategorized — Tags: — m759 @ 10:15 AM

Norwegian artist Josefine Lyche —

Lyche's shirt honors the late Kurt Cobain.

"Here we are now, entertain us."

Symmetric Generation, by Netflix

Filed under: Uncategorized — Tags: — m759 @ 5:05 AM

Suggested by the previous post . . .

'Out of nothing' opening of 'Maniac' at Netflix

"The pattern is the pattern."

Friday, September 21, 2018

Symmetric Generation, by Nao

Filed under: Uncategorized — Tags: — m759 @ 1:30 PM

"The creation of a new world
        starts now.
Once again I am tied
        to the logic of this

Bill Murray and Scarlett Johansson in 'Lost in Translation'


Filed under: Uncategorized — Tags: — m759 @ 4:36 AM

Thursday, September 20, 2018

Clash of the Titans

Filed under: Uncategorized — Tags: , — m759 @ 6:18 PM

1971 Mystery Box

Filed under: Uncategorized — m759 @ 8:15 AM

Vincent Canby in The New York Times 
January 28, 1971, reviews the film "The Statue" —

There is not much point in going into the dialogue,
but you'll get the idea from the line spoken by
a little girl who is shown gazing in wonderment
at the copy of Michelangelo's work in the
Piazza della Signoria in Florence.
"Golly," she says, "if that's David, I'd like to see Goliath!"
"The Statue" may have the distinction of being the first
adolescent comedy about penis envy. 

In keeping with filmmaker J.J. Abrams's philosophy of the "mystery box"

Canby's phrase "you'll get the idea" suggests a Log24 review . . .


Wednesday, September 19, 2018

Speaking of Strange Tales …

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


In Memoriam:

Filed under: Uncategorized — Tags: — m759 @ 8:49 AM

Denis Mostyn Norden, writer, broadcaster and television presenter,
born 6 February 1922; died 19 September 2018.



For Abraham Warburg —


"Que cantaba el Rey David."


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


See also Watchmen in this journal.

Tuesday, September 18, 2018

Death Day

Filed under: Uncategorized — Tags: — m759 @ 11:20 PM

"Birthday, death-day — what day is not both?" — Updike




Monday, September 17, 2018

For Wakanda

Filed under: Uncategorized — m759 @ 9:00 PM


The 123 Configurations

Filed under: Uncategorized — m759 @ 8:35 AM



Lying at the Axis

Filed under: Uncategorized — m759 @ 12:00 AM

Or:  Zero Dark Zero

" Lying at the axis of everything, zero is both real and imaginary. Lovelace was fascinated by zero; as was Gottfried Leibniz, for whom, like mathematics itself, it had a spiritual dimension. It was this that let him to imagine the binary numbers that now lie at the heart of computers: 'the creation of all things out of nothing through God's omnipotence, it might be said that nothing is a better analogy to, or even demonstration of such creation than the origin of numbers as here represented, using only unity and zero or nothing.' He also wrote, 'The imaginary number is a fine and wonderful recourse of the divine spirit, almost an amphibian between being and nonbeing.' "

— A footnote from page 229 of Sydney Padua's
    April 21, 2015, book on Lovelace and Babbage

Sunday, September 16, 2018


Filed under: Uncategorized — m759 @ 11:05 PM
<h1 id="top">
Bacow Heads to Home State of Michigan 
In Quest to Fix Harvard’s Image Problem

<div class="article-byline" style="display: none;">
By <a href='/writer/1213317/Kristine_E._Guillaume/'>
Kristine E. Guillaume</a> 
and <a href='/writer/1213264/Jamie_D._Halper/'>
Jamie D. Halper</a>, 
Crimson Staff Writers

<time class="article-date"
   title="Updated September 16, 2018 at 11:04p.m.">
   September 16, 2018

Husserl for Beginners

Filed under: Uncategorized — m759 @ 10:31 PM


See also Trivial + Affine and Eidetic Reduction.

Frames Per Second

Filed under: Uncategorized — m759 @ 12:00 AM

See the previous post and "Frames Per Second."

Saturday, September 15, 2018

Sick Framing

Filed under: Uncategorized — m759 @ 11:00 PM


Satire on Saturday Night

Filed under: Uncategorized — m759 @ 10:00 PM


See as well some other  remarks from March 28, 2014.

Ig Nobel “One Plus One”

Filed under: Uncategorized — m759 @ 1:42 PM


Jean-Luc Godard in this journal on Thursday

"I perceived . . . cinema is that which is between things,
not things [themselves] but between one and another."

Also on Thursday —

"Scientific luminaries gathered at Harvard University’s
historic Sanders Theatre  on Thursday to honor
notable achievements this year…. It was the
28th First Annual Ig Nobel Prize Ceremony …."



Filed under: Uncategorized — m759 @ 9:50 AM

Tieszen— 'Kurt Godel and Phenomenology' — 1992

Update of 10:18 AM the same day —

See also Logicomix  in this  journal and, at Harvard,


  • September 6, 2018:  Eric Maskin, Amartya Sen and I
    are giving a course this semester: 'Axiomatic Reasoning'
    (PHIL 273B). Introduction to Axiomatic Reasoning gives a
    general sense of what we intend to cover.

Update of 10:48 AM the same day —


See Log24 on the date of Tieszen's death.

Eidetic Reduction in Geometry

Filed under: Uncategorized — Tags: , — m759 @ 1:23 AM

"Husserl is not the greatest philosopher of all times.
He is the greatest philosopher since Leibniz."

Kurt Gödel as quoted by Gian-Carlo Rota

Some results from a Google search —

Eidetic reduction | philosophy | Britannica.com

Eidetic reduction, in phenomenology, a method by which the philosopher moves from the consciousness of individual and concrete objects to the transempirical realm of pure essences and thus achieves an intuition of the eidos (Greek: “shape”) of a thing—i.e., of what it is in its invariable and essential structure, apart …

Phenomenology Online » Eidetic Reduction

The eidetic reduction: eidos. Method: Bracket all incidental meaning and ask: what are some of the possible invariate aspects of this experience? The research …

Eidetic reduction – New World Encyclopedia

Sep 19, 2017 – Eidetic reduction is a technique in Husserlian phenomenology, used to identify the essential components of the given phenomenon or experience.

Terminology: Eidos

For example —

The reduction of two-colorings and four-colorings of a square or cubic
array of subsquares or subcubes to lines, sets of lines, cuts, or sets of
cuts between the subsquares or subcubes.

See the diamond theorem and the eightfold cube.

* Cf. posts tagged Interality and Interstice.

Friday, September 14, 2018

Warburg at Cornell, Continued

Filed under: Uncategorized — Tags: — m759 @ 9:29 AM

Warburg at Cornell U. Press

See also Epiphany 2017 —


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


I Ching Geometry search result

Underlying the I Ching  structure  is the finite affine space
of six dimensions over the Galois field with two elements.

In this field,  "1 + 1 = 0,"  as noted here Wednesday.

See also other posts now tagged  Interstice.


Thursday, September 13, 2018

Iconology of the Interstice

Filed under: Uncategorized — Tags: — m759 @ 6:25 AM

The title is from the 2013 paper by Latsis in the previous post.


The symmetries of the interstices at right underlie
the symmetries of the images at left.

Godard and Interality

Filed under: Uncategorized — Tags: , — m759 @ 12:14 AM

The previous post, "One Plus One," suggests some further
art-historical remarks on interality

From Third Text , 2013, Vol. 27, No. 6, pp. 774–785 —

"Genealogy of the Image in Histoire(s) du Cinéma : Godard, Warburg and the Iconology of the Interstice"

By Dimitrios S. Latsis

* * * * P. 775

My discussion will focus on the significance of the concept of the ‘space in-between,’ its importance for Godard’s work and its role in a relational historiography of images more broadly. I hope to corroborate how Godard functions as a twenty-first century archaeologist of the moving image, constructing a meta-cinematic collage that, while consisting of an indexing of (almost exclusively) pre-existing filmic samples, ends up becoming a hybrid work of art in its own right. Godard, in the final analysis, expands the Warburgian programme of iconology into that of a cinematographic iconology of the interstice.

* * * * P. 777

Godard conceives of the image only in the plural, in the intermediate space between two images, be it a prolonged one (in  Histoire(s)  there are frequent instances of black screens) or a non-existent one (superimposition, co-presence of two images on screen). He comments: ‘[For me] it’s always two, begin by showing two images rather than one, that’s what I call image, the one made up of two’ [18] and elsewhere, ‘I perceived . . . cinema is that which is between things, not things [themselves] but between one and another.’ [19]

18. Jean-Luc Godard and Youssef Ishaghpour, "Archéologie du cinéma et mémoire du siècle," Farrago ,Tours, 2000, p. 27. The title of this work is reflective of the Godardian agenda that permeates Histoire(s) .

19. Jean-Luc Godard, "Introduction à une véritable histoire du cinéma," Albatros , Paris,1980, p. 145

* * * * P. 783 —

If it is in ‘the in-between’ that thought is born, then for Godard cinematography as ‘a form that thinks  . . . was born with the advent of modern painting.’ [62]

62. Godard and Ishaghpour, op. cit., pp 45–46.

* * * * P. 785

Warburg commented on the signification of the black spaces that he placed between images in his analysis of the network of intervals in  Mnemosyne , by quoting Johann Wolfgang Goethe’s dictum ‘the truth inhabits the middle space.’ [68] This citation induces a feeling of déjà-vu for the viewer of Histoire(s). The link was not missed by Warburg himself, as one of his diary entries testifies: ‘We can compare this phenomenon [the iconology of the interval] to that of the cinematic montage, the domain of the interpretation is an intervallic one.’  [69]

68. Warburg,  Mnemosyne , pp 135–146.

69. Warburg is quoted in Didi-Huberman, L’image survivante, p. 503. (Georges Didi-Huberman, L’image survivante. Histoire de l’art et temps des fantômes selon Aby Warburg , Minuit, Paris, 2002)

Wednesday, September 12, 2018

One Plus One

Filed under: Uncategorized — Tags: — m759 @ 11:10 AM




Tuesday, September 11, 2018

Art-Historical Narrative

Filed under: Uncategorized — Tags: , — m759 @ 2:40 PM

Art history from Galerie St. Etienne

Summer Solstice Notes

By Fritz Leiber

Filed under: Uncategorized — m759 @ 6:00 AM

Spider and Snake on cover of Fritz Leiber's novel Big Time

Anthony Hopkins at Dolly's Little Diner in Slipstream

Sir Anthony Hopkins in "Slipstream." See "Home from Home."

Monday, September 10, 2018

Big Time

Filed under: Uncategorized — m759 @ 11:48 PM



Your OS

Filed under: Uncategorized — m759 @ 3:33 AM


"Alan Watts wrote of The Making of a Counter Culture  in the San Francisco Chronicle  in 1969, 'If you want to know what is happening among your intelligent and mysteriously rebellious children, this is the book. The generation gap, the student uproar, the New Left, the beats and hippies, the psychedelic movement, rock music, the revival of occultism and mysticism, the protest against our involvement in Vietnam, and the seemingly odd reluctance of the young to buy the affluent technological society—all these matters are here discussed, with sympathy and constructive criticism, by a most articulate, wise, and humane historian.' "

The University of California Press

"Please wait as your operating system is initiated."


Sunday, September 9, 2018

Plan 9 Continues.

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

"The role of Desargues's theorem was not understood until
the Desargues configuration was discovered. For example,
the fundamental role of Desargues's theorem in the coordinatization
of synthetic projective geometry can only be understood in the light
of the Desargues configuration.

Thus, even as simple a formal statement as Desargues's theorem
is not quite what it purports to be. The statement of Desargues's theorem
pretends to be definitive, but in reality it is only the tip of an iceberg
of connections with other facts of mathematics."

— From p. 192 of "The Phenomenology of Mathematical Proof,"
by Gian-Carlo Rota, in Synthese , Vol. 111, No. 2, Proof and Progress
in Mathematics
(May, 1997), pp. 183-196. Published by: Springer.

Stable URL: https://www.jstor.org/stable/20117627.

Related figures —

Note the 3×3 subsquare containing the triangles ABC, etc.

"That in which space itself is contained" — Wallace Stevens

Saturday, September 8, 2018


Filed under: Uncategorized — Tags: — m759 @ 9:26 PM

'Space' in Chinese

For example —

'Projective space' in Chinese

See also Interality in this journal.


Filed under: Uncategorized — m759 @ 2:00 AM

Affine groups on small binary spaces

Friday, September 7, 2018

The Enormous Snowflake

Filed under: Uncategorized — m759 @ 2:01 PM

A literary reference suggested by the previous post and by
today's 2 AM post "Show" —


See also Snowflake in this  journal.

Carnival and Mystery

Filed under: Uncategorized — m759 @ 1:15 PM

From a search in this journal for "Public Square" —

See also Gresham in this journal.

A Square for Sims

Filed under: Uncategorized — m759 @ 3:00 AM

The American Mathematical Society on Wednesday, September 5,
reported a death from October 23 last year

AMS obituary for mathematician Charles C. Sims

See also Higman-Sims and 5×5 in this  journal.


Filed under: Uncategorized — m759 @ 2:00 AM

In memory of a showman who reportedly died on August 31


See also this journal on August 31.

Thursday, September 6, 2018

Identity Crisis

Filed under: Uncategorized — m759 @ 6:29 PM

(Continued from 12 AM Sept. 4)

New York Times
Editors’ Choice
11 New Books We Recommend This Week

Sept. 6, 2018

Identity — whatever that even means — has been having a moment, lately. The political climate forces us all to decide grimly what bunker will welcome us, and the new culture wars spur people to define themselves before somebody else does it for them to possibly violent effect. Identity may be abstract and elusive, but that doesn’t mean it doesn’t have real-world consequences. So our recommended titles this week turn a spotlight on the subject, from Francis Fukuyama’s “Identity” to Kwame Anthony Appiah’s “The Lies That Bind” to two books about identity politics on college campuses: “The Splintering of the American Mind,” by William Egginton, and “The Coddling of the American Mind,” by Greg Lukianoff and Jonathan Haidt. (Those similar titles are no coincidence: Both books hark back to Allan Bloom’s classic “The Closing of the American Mind.”) We also have a book about the Spanish man who for decades falsely claimed to be a Holocaust survivor, and a joint biography of the mother and daughter who gave their names to the Myers-Briggs personality test. In other realms, there’s a biography of the tennis legend Arthur Ashe; new fiction from Gary Shteyngart, Ben Marcus and Tsitsi Dangarembga; and an essay collection about the role of the “dead girl” in popular culture, which posits that — in that case, anyway — the absence of identity is the whole point.

Gregory Cowles
Senior Editor, Books

See also  Identity + Paz  in this  journal.


Filed under: Uncategorized — m759 @ 5:00 PM


Wednesday, September 5, 2018

Multifaceted Narrative

Filed under: Uncategorized — m759 @ 8:19 PM



See also, in this  journal, 23-cycle.

Update of Sept. 6, 2018, 9:05 AM ET:  "The Cubist Method"

Multifaceted narrative by James Joyce —


Multifaceted structures in pure mathematics, from Plato and R. T. Curtis  —

Counting symmetries with the orbit-stabilizer theorem

Midnight Art

Filed under: Uncategorized — Tags: — m759 @ 3:03 AM


See also 12 AM Sept. 4 in this  journal, "Identity Crisis."

Related material — "Overarching" in this journal.

Update of 4:12 AM ET —

The name of the New Yorker  artist in the Identity Crisis post,
Tamara Shopsin, has now been added to the illustrated excerpt.

See as well . . .



Tuesday, September 4, 2018

MBTI at the Church of St. Frank*

Filed under: Uncategorized — m759 @ 10:45 AM

(Suggested by the previous post)


* For the church, see Kermode + Garber.

Identity Crisis

Filed under: Uncategorized — m759 @ 12:00 AM



See also 5×5  in this  journal.

Monday, September 3, 2018


Filed under: Uncategorized — m759 @ 3:40 AM

For the title, see Paranoia Strikes Deep (Dec. 1, 2011).

Related reading —


Sunday, September 2, 2018

Picture Yourself …

Filed under: Uncategorized — m759 @ 10:12 PM



Saturday, September 1, 2018

Another 48 Hours

Filed under: Uncategorized — Tags: — m759 @ 9:29 PM


Backstory:  See The Plaid Overnight Case in this journal.

Investigators: First 48 Hours Most Critical
In Locating Missing Children Who Entered
Portal To Fantastical World

See as well a post from 10:16 PM ET Thursday, August 30, 2018.

Nicht Spielerei

Filed under: Uncategorized — m759 @ 2:56 PM


"The absence of adults forces children to practice their social skills."

This is from . . .


See also . . .

The Enlivened Obituary

Filed under: Uncategorized — m759 @ 1:45 PM

" Martin Shubik, an economist whose prescient visions
of a computerized world and pioneering applications
of game theory to everyday life enlivened what has been
described as the dismal science, died on Aug. 22 at his
home in Branford, Conn. He was 92."

Sam Roberts in The New York Times  yesterday

From Sylvia Nasar's A Beautiful Mind


Ron Shaw — D. 21 June 2016

Filed under: Uncategorized — Tags: , — m759 @ 4:08 AM

The date of Ron Shaw's 2016 death appears to be June 21:


All other Internet sources I have seen omit the June 21 date.

This  journal on that date —


Friday, August 31, 2018

Perception of Number

Filed under: Uncategorized — Tags: — m759 @ 8:31 PM

Review of yesterday's post Perception of Space

From Harry Potter and the Philosopher's Stone  (1997),
republished as "… and the Sorcerer's Stone ," Kindle edition:


In a print edition from Bloomsbury (2004), and perhaps in the
earliest editions, the above word "movements" is the first word
on page 168:


Click the above yellow ellipse for some Log24 posts on the eightfold cube,
the source of the 168 automorphisms ("movements") of the Fano plane.

"Refined interpretation requires that you know that
someone once said the offspring of reality and illusion
is only a staggering confusion."

— Poem, "The Game of Roles," by Mary Jo Bang

Related material on reality and illusion
an ad on the back cover of the current New Yorker


"Hey, the stars might lie, but the numbers never do." — Song lyric

Thursday, August 30, 2018

Twenty Years

Filed under: Uncategorized — Tags: — m759 @ 10:16 PM

This post was suggested by the final inside page, 23,
of next Sunday's New York Times Book Review ,
"Memorabilia/ Happy 20th Anniversary, Harry Potter."


From VOA Learning English, June 26, 2017

J.K. Rowling's Harry Potter Books
Turn 20 Years Old

. . . .

" J.K. Rowling’s first book about Harry and his friends at Hogwarts School of Witchcraft and Wizardry was released on June 26, 1997.

The publisher, Bloomsbury, only released 500 copies to stores in Britain and sent 500 to British libraries.

Now, thanks to 450 million more copies of the first book and six others, Harry Potter and his friends are known around the world.

Adults and children loved the books. But 12 publishers rejected the first one, known in many countries as 'Harry Potter and the Philosopher’s Stone.' "

. . . .

See as well this  journal on June 26, 2017 in
posts now tagged Ron Shaw In Memoriam.

Perception* of Space

Filed under: Uncategorized — m759 @ 2:12 PM




* A footnote in memory of a dancer who reportedly died
  yesterday, August 29 —  See posts tagged Paradigm Shift.

"Birthday, death-day — what day is not both?" — John Updike

Tuesday, August 28, 2018

For St. Augustine’s Day

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


Whether the word "condescension" functions as purple Kool-Aid
here or in the previous post, the reader may decide.

See Becomes Saw

Filed under: Uncategorized — Tags: — m759 @ 2:46 PM




Filed under: Uncategorized — Tags: — m759 @ 1:06 PM


Monday, August 27, 2018

Geometry and Simplicity

Filed under: Uncategorized — m759 @ 9:27 PM


Thinking in Four Dimensions
By Dusa McDuff

"I’ve got the rather foolhardy idea of trying to explain
to you the kind of mathematics I do, and the kind of
ideas that seem simple to me. For me, the search
for simplicity is almost synonymous with the search
for structure.

I’m a geometer and topologist, which means that
I study the structure of space
. . . .

In each dimension there is a simplest space
called Euclidean space … "

— In Roman Kossak, ed.,
Simplicity:  Ideals of Practice in Mathematics and the Arts
(Kindle Locations 705-710, 735). Kindle Edition.


For some much simpler spaces of various
dimensions, see Galois Space in this journal.

Some small Galois spaces (the Cullinane models)

Children of the Six Sides

Filed under: Uncategorized — m759 @ 11:32 AM



From the former date above —

Saturday, September 17, 2016

A Box of Nothing

Filed under: Uncategorized — m759 @ 12:13 AM


"And six sides to bounce it all off of.

From the latter date above —

Tuesday, October 18, 2016


Filed under: Uncategorized — m759 @ 6:00 AM

The term "parametrization," as discussed in Wikipedia, seems useful for describing labelings that are not, at least at first glance, of a vector-space  nature.

Examples: The labelings of a 4×4 array by a blank space plus the 15 two-subsets of a six-set (Hudson, 1905) or by a blank plus the 5 elements and the 10 two-subsets of a five-set (derived in 2014 from a 1906 page by Whitehead), or by a blank plus the 15 line diagrams of the diamond theorem.

Thus "parametrization" is apparently more general than the word "coodinatization" used by Hermann Weyl —

“This is the relativity problem:  to fix objectively a class of equivalent coordinatizations and to ascertain the group of transformations S mediating between them.”

— Hermann Weyl, The Classical Groups , Princeton University Press, 1946, p. 16

Note, however, that Weyl's definition of "coordinatization" is not limited to vector-space  coordinates. He describes it as simply a mapping to a set of reproducible symbols

(But Weyl does imply that these symbols should, like vector-space coordinates, admit a group of transformations among themselves that can be used to describe transformations of the point-space being coordinatized.)

From March 2018 —


Sunday, August 26, 2018

For the Green Man

Filed under: Uncategorized — m759 @ 12:30 PM




Mathematics and Narrative: Queensland

Filed under: Uncategorized — Tags: — m759 @ 3:56 AM

Mathematics —


Narrative —


See also other recent posts tagged Queensland.

Saturday, August 25, 2018


Filed under: Uncategorized — m759 @ 8:55 PM


Schoolgirl Problem

Filed under: Uncategorized — m759 @ 5:40 PM

For Pagan Moore


See also "as frivolous as a willow on a tombstone."

“Waugh, Orwell. Orwell, Waugh.”

Filed under: Uncategorized — m759 @ 4:00 PM

Suggested by a review of Curl on Modernism —


Related material —

Waugh + Orwell in this journal and

Cube Bricks 1984

An Approach to Symmetric Generation of the Simple Group of Order 168

Point at Infinity

Filed under: Uncategorized — m759 @ 5:20 AM

In literature —


In film —


In mathematics —


Friday, August 24, 2018

The Wandelweiser Manifesto

Filed under: Uncategorized — Tags: — m759 @ 5:35 PM

Or:  Signpost of Change

From a cartoon graveyard



Alex Ross on Wandelweiser, September 2016

Academic and Transformations

Filed under: Uncategorized — m759 @ 4:59 PM

For Doctor Sleep .



See as well "STEAM" in this journal.

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