The "Brick Space" model of PG(5,2) —
Related reading . . .
See also "Zero System."
Thursday, September 19, 2024
The Zen of Brick Space:
Embedding the Null Brick
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Embedding the Null Brick
Embedding the Null Brick
Saturday, September 14, 2024
Tribal Art
Welcome to the towel room.
From a Log24 post of February 26, 2024 —
The URL https://tri.be
of the design firm Modern Tribe . . .
Some will prefer other digital gateways . . .
Amy Adams in The Master
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Wednesday, July 31, 2024
Stone Logic . . . Revisited
Flashback to April 20, 2017 —
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Thursday, July 11, 2024
“I want to wake up in a city that doesn’t sleep” — Sinatra
A New York Times obituary today suggests a look at West 56th Street . . .
"If you are looking for an exclusive space to host
an intimate gathering, we have a range of spaces
to suit your requirements." — Whitby Hotel
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Tuesday, June 25, 2024
Desperately Seeking Sidelined Perspectives
"I’m really kind of into the idea of unearthing sidelined perspectives
and not making it all about the reasons that they’re sidelined, but
their actual experience.
What they love, what their desires are, where they come from,
where they want to go. And then not feeling like you always have to
stand on a … soapbox and be everyone’s spokesperson."
— Kristen Stewart in an article dated 19 February 2024
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Friday, May 17, 2024
Date: February 15, 2023
A post from the above date contained the following image —
Related material — Tonight's midnight post, which led to
a different circular image from the date Feb. 15, 2023 . . .
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Friday, March 29, 2024
AI at Noon
https://www.wired.com/story/
plaintext-proof-the-ai-boom-is-people-tapping-chatgpt-at-work/ —
"The sample was taken between February 7 and 11 of this year."
See also, in this journal,
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Thursday, March 21, 2024
Library Note: Chicago Exposition
|
"Chang noted that 'the story starts slowly, for
1. Chang, Margaret A. "The King in the Window". |
Some will prefer exposition more closely related to Chicago.
From a Log24 search for that word . . .
The above phrase "the intersection of storytelling and visual arts"
suggests a review . . .
Some exposition that does not go back thousands of years —
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Tuesday, March 19, 2024
Monday, March 18, 2024
Dark Horse
See as well Macbeth and the Black Arts, and a report today
by The New York Times of a death on February 7th.
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Thursday, March 14, 2024
For Aestheticians: Seeds, Good and Not So Good
In memory of . . .
Good Seed: Sydell.
Not So Good: Pearl.
This post was suggested by Sam Levinson's work in Whanganui NZ
and Alan D. Perlis's work in Birmingham AL —
From South Dakota, related material for Bible fans —
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Wednesday, March 13, 2024
Max Bill in the Basque Country:
¿Qué vemos cuando miramos?
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¿Qué vemos cuando miramos?
¿Qué vemos cuando miramos?
Tuesday, March 12, 2024
Monday, March 11, 2024
“For Ten Years* We’ve Been on Our Own…” — American Pie
* See as well today's previous post.
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Saturday, March 9, 2024
For Auld Hensyne
Finnegans Wake —
"The quad gospellers may own the targum
but any of the Zingari shoolerim may pick a peck
of kindlings yet from the sack of auld hensyne."
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Thursday, February 29, 2024
Masonic Mojo Dojo Casa House
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Wednesday, February 28, 2024
A Definite School of Thought…
“The Buck Starts Here”
https://theosophy.wiki/en/Jirah_Dewey_Buck —
" Dr. Jirah Dewey Buck (November 20, 1838 – December 13, 1916)
was a physician who worked to establish one of the first Theosophical
lodges in the United States, the Cincinnati Theosophical Society, and
the American Section of the international Theosophical Society in 1886 . . . ."
"Buck was born in Fredonia, New York
on November 20, 1838 . . . .
[He was] 'a recognized leader of a definite school
of Masonic thought and propaganda'."
The above metadata was suggested by an image I happened to see today,
the "Tetragrammaton of Pythagoras" —
"Duck Soup" fans may recall the war between Freedonia and Sylvania.
For some images more in the spirit of Sylvania, see "Triangles Are Square."
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“The Buck Starts Here”
“The Buck Starts Here”
Tuesday, February 27, 2024
Macbeth and the Black Arts
“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
Rhymin' Simon's lyrics seem particularly appropriate
in the case of the actor below, who reportedly died
on October 31 — Halloween — last year.
Earlier last October . . .
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Mr. Miller’s Class: Keyholes for Bilbo
Related entertainment starring Martin Freeman —
Miller's Girl's reading includes a book
whose cover features an erotic keyhole . . .
Vide Shanna Collins as Laurie in the 2008 TV series "Swingtown" …
and in this journal on All Souls' Day 2021 —
Another, somewhat less erotic, keyhole shows
Shanna Collins in a 2010 film, "In My Sleep" —
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Monday, February 26, 2024
Design School for Harvard: Tri.be
The name TRI.BE of the musical group in
the previous post suggests the URL https://tri.be
of the design firm Modern Tribe . . .
The above Tri.be color palette suggests a review of
the phrase "Color Box" in this journal, and an image:
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Outpost Vegas… Continues.
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February Poetics… Continues.
|
According to Chu Hsi [Zhu Xi],
“Li” is
— Smith, Bol, Adler, and Wyatt, |
But very possibly the earliest use of li is the one instance that
it appears in the Classic of Poetry (Ode 210) where it refers to
the borders or boundary lines marking off areas in a field.
Here it appears in conjunction with chiang and is explained
as 'to divide into lots (or parcels of land)' (fen-ti )."
— P. 33 of "Li Revisited and Other Explorations"
by Allen Wittenborn, Bulletin of Sung and Yüan Studies
No. 17 (1981), pp. 32-48 (17 pages),
https://www.jstor.org/stable/23497457.
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Sunday, February 25, 2024
Alan David Perlis, 1943-2015
See as well https://www.dignitymemorial.com/obituaries/
homewood-al/alan-perlis-6727050.
Related non-literary "Transforming Shapes" aesthetics:
Related Log24 posts: http://m759.net/wordpress/?s=Perlis+Shapes.
Related Alabama material — The Forrest Gump sketch on
last night's Saturday Night Live.
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Saturday, February 24, 2024
Saturday Night Live: The Full Snow Moon
|
New from Harlan Kane: The Wittenborn Date
|
"Always with a little humor." — Dr. Yen Lo
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The adverb Li ly
An AI image created today by https://neural.love —
"Lily Collins Playing Chess" —
Perhaps some Dreaming Jewels have mated.
|
From The Dreaming Jewels , by Theodore Sturgeon: "Oh. And the crystals make things — even complete things — like Tin Pan Alley makes songs." "Something like it." Zena smiled. It was the first smile in a long while. "Sit down, honey; I'll bring the toast. Now — this is my guess — when two crystals mate, something different happens. They make a whole thing. But they don't make it from just anything the way the single crystals do. First they seem to die together. For weeks they lie like that. After that they begin a together-dream. They find something near them that's alive, and they make it over. They replace it, cell by cell. You can't see the change going on in the thing they're replacing. It might be a dog; the dog will keep on eating and running around; it will howl at the moon and chase cats. But one day — I don't know how long it takes — it will be completely replaced, every bit of it." "Then what?" "Then it can change itself — if it ever thinks of changing itself. It can be almost anything if it wants to be." Bunny stopped chewing, thought, swallowed, and asked, "Change how?" "Oh, it could get bigger or smaller. Grow more limbs. Go into a funny shape — thin and flat, or round like a ball. If it's hurt it can grow new limbs. And it could do things with thought that we can't even imagine. Bunny, did you ever read about werewolves?" "Those nasty things that change from wolves to men and back again?" Zena sipped coffee. "Mmm. Well, those are mostly legends, but they could have started when someone saw a change like that." |
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Wittenborn and The Life of Forms in Art
For Focillon's "immobility" that "sparkles with metamorphoses,"
see Theodore Sturgeon's imagined "Dreaming Jewels ."
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Li
The Chinese concept of li in yesterday's post "Logos" is related,
if only by metaphor, to the underlying form (sets of "line diagrams")
of patterns in the Cullinane diamond theorem:
"But very possibly the earliest use of li is the one instance that
it appears in the Classic of Poetry (Ode 210) where it refers to
the borders or boundary lines marking off areas in a field.
Here it appears in conjunction with chiang and is explained
as 'to divide into lots (or parcels of land)' (fen-ti )."
— P. 33 of "Li Revisited and Other Explorations"
by Allen Wittenborn, Bulletin of Sung and Yüan Studies
No. 17 (1981), pp. 32-48 (17 pages),
https://www.jstor.org/stable/23497457.
Comments Off on Li
Friday, February 23, 2024
Logos
A logo from the previous post —
This suggests a flashback to an image from Log24 on Nov. 6, 2003 —
Moral of the
Entertainment:
According to Chu Hsi [Zhu Xi],
“Li” is
“the principle or coherence
or order or pattern
underlying the cosmos.”
— Smith, Bol, Adler, and Wyatt,
Sung Dynasty Uses of the I Ching ,
Princeton University Press, 1990
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Wednesday, February 21, 2024
February Mojo
A 1911 essay by T. E. Hulme,
"Romanticism and Classicism" —
"There is a general tendency to think that verse means
little else than the expression of unsatisfied emotion.
People say: 'But how can you have verse without sentiment?'
You see what it is: the prospect alarms them. A classical revival
to them would mean the prospect of an arid desert and the death
of poetry as they understand it, and could only come to fill the gap
caused by that death. Exactly why this dry classical spirit should
have a positive and legitimate necessity to express itself in poetry
is utterly inconceivable to them."
A 1961 reaction against Hulme,
"Against Dryness" —
"Against the consolations of form, the clean crystalline
work, the simplified fantasy-myth, we must pit the
destructive power of the now so unfashionable naturalistic
idea of character.
Real people are destructive of myth, contingency is
destructive of fantasy and opens the way for imagination."
— Iris Murdoch, January 1961
Opening the Way —
For instances of character and imagination,
see this journal on February 8 and February 9.
See also the previous post and . . .
Academics may prefer "The Eureka Manifesto" —
From the MANIFESTO link in the Breakthrough Prize page above —
Our Mission . . . Should We Choose to Accept It
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Sunday, February 18, 2024
Bride’s Chair vs. One-Liner
The "bride's chair" is the figure illustrating Euclid's proof
of the Pythagorean theorem (click image to enlarge) —
A somewhat simpler approach —
"Drop me a line" — Request attributed to Emma Stone
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For Students of the Crimson Abyss:
Vocabulary Illustrated
Detail of a February 16 illustration from The Harvard Crimson .
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Vocabulary Illustrated
Vocabulary Illustrated
Saturday, February 17, 2024
Coachella Modernism for Jenna Ortega
|
KESQ-TV News, Channel 3, Palm Springs, California
Modernism Week gears up to host thousands By Bianca Ventura Published Friday, February 16, 2024 1:21 AM (California time) Thousands of architecture enthusiasts from throughout the country and around the globe are visiting the Coachella Valley for this year's Modernism Week. The eleven day event kicked off Thursday night [Feb. 15] with their 'Opening Night Fever Dance Party.' This year's opening night celebration marked one of the largest in Modernism Week history with over 600 attendees. Yet that's only a small fraction of the people that will be enjoying the hundreds of events scheduled in the coming days. According to reports, Modernism Week contributes millions of dollars to the Coachella Valley’s economy, with an attendance record of more than 100,000 people. |
Modernism from a Coachella Valley College in this journal —
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Now at Substack
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Friday, February 16, 2024
The Sixteen
Prompt:
Write a poem, in strict sonnet form, about the Cullinane diamond theorem.
Response (slightly tweaked for grammar):
Within a grid of sixteen squares reside
A diamond's gleams where symmetries do guide.
Though tiles may shift, a pattern shall remain,
By unseen lines of ordered form sustained.
Rows mix and columns twist in playful dance,
Quadrants align with geometric chance.
No matter how the elements may turn,
A hidden balance always will return.
Where Latin squares in secret do align,
And finite fields their subtle powers combine,
An ideal forms, with brilliance all its own,
A ring of light where hidden truths are shown.
Though chaos swirls, an order does descend,
The Cullinane's bright theorem will transcend.
________________________________________________________________
As for "a hidden balance" … See Oct. 10, 2022.
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A Mad Day’s Work . . . Continues.
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Ocean’s Twin Primes: 11 and 13… Bridesmaids for 12?
"A dark illimitable Ocean" — John Milton, Paradise Lost , Book II
"All is number" — Attributed to Pythagoras
|
"For a fraction of a second, Phocan senses |
From the MANIFESTO link in the Breakthrough Prize page above —
Our Mission . . . Should We Choose to Accept It
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Thursday, February 15, 2024
Gemini Poem
Or using his research and their tools.
Compare and contrast —
Before thir eyes in sudden view appear The secrets of the hoarie deep, a dark Illimitable Ocean without bound, Without dimension, where length, breadth, and highth, And time and place are lost; where eldest Night And Chaos, Ancestors of Nature, hold Eternal Anarchie, amidst the noise Of endless warrs and by confusion stand. For hot, cold, moist, and dry, four Champions fierce Strive here for Maistrie, and to Battel bring amidst the noise Thir embryon Atoms.... ... Into this wilde Abyss, The Womb of nature and perhaps her Grave, Of neither Sea, nor Shore, nor Air, nor Fire, But all these in thir pregnant causes mixt Confus'dly, and which thus must ever fight, Unless th' Almighty Maker them ordain His dark materials to create more Worlds, Into this wilde Abyss the warie fiend Stood on the brink of Hell and look'd a while, Pondering his Voyage.... -- John Milton, Paradise Lost , Book II
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For Harlan Kane: The Aggies Prayer
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The Isotropic Die
Related material: Theodore Sturgeon's novel The Dreaming Jewels
and his story "What Dead Men Tell" . . .
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Wednesday, February 14, 2024
Truchet Tiles Meet Cullinane Cube
From a post on Trevanian in December 2005 —
"And we may see
the meadow in December,
icy white and crystalline."
— Johnny Mercer,
"Midnight Sun"
"Midnight Sun"
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Live Poet Society
RHYMES for Bergen Feb. 13-14, 2024
one fun
two crew
three see
four core
five live
six tricks
seven heaven
eight gate
nine line
core line crew
see live heaven
gate fun tricks
This post was suggested by the
"Night of Lunacy" post of May 5, 2013.
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Monday, February 12, 2024
Consolation Prize for California Philosophers
Related religious meditation — Yesterday afternoon's Review:
| 一寸相思一寸灰 . . . "An inch of love is just an inch of ashes" |
and Valentine's Day 2024 . . .
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Sunday, February 11, 2024
Review
A review of "Square Inch Space" in this journal is suggested by . . .
Click the above image for the source of the Chinese characters —
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Dasein für McConnachie
Twelfth Night 2024 was the dies natalis of
comedy writer Brian McConnachie.
From this journal on that date —
Funeral scene from "Being There" (1979)
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Saturday, February 10, 2024
Gilded Cage Meets Crimson Abyss
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Friday, February 9, 2024
Line 20
Line 20 of yesterday's poem by Gemini —
"The Cullinane, a geometer's dream" —
has a rather awkward rhythm.
Perhaps it should be ". . . a poet's dream"
or ". . . a diamond dream."
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Thursday, February 8, 2024
Google Bard is now Gemini.
Gemini Prompt:
Write a poem in the style of Wallace Stevens
about the Cullinane diamond theorem.
Response:
Absolutely! Here's a poem inspired by Wallace Stevens
and the Cullinane diamond theorem:
A theorem not of Euclid's line,
But diamonds cut with strange design.
Sixteen squares in shifting light,
A symmetry of black and white.
Where rows and columns intertwine,
A hidden order lies supine.
Permutations twist and turn,
And latent symmetries discern.
Not fixed like stars in ordered rows,
But like reflections, pattern grows.
Projective planes, a finite field,
The diamond's inner world revealed.
The proof, a dance of abstract thought,
Where shifting forms find space untaught.
Not nature's chaos, but design,
A brilliance of the human mind.
A lattice born of Stevens' art,
Where form and thought find counterpart.
Amidst the fragments, patterns gleam,
The Cullinane, a geometer's dream.
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Wednesday, February 7, 2024
Personal Emblem
Personal Emblem
of psychiatrist
Harry Stack Sullivan
This image, from a post of Wednesday, Dec. 12, 2007,
was suggested by Taylor Swift's annotation for her new
album . . .
http://m759.net/wordpress/?p=114081 —
"And so I enter into evidence
My tarnished coat of arms . . . ."
and by the Frida Kahlo image in the 2007 post, as well as
Kahlo in art by the former Sullivanian whose work has
now been added to yesterday's "American Pie" post.
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Tuesday, February 6, 2024
“Someone Puts a Poem Together”
— Hat Tip to Wallace Stevens
Updated with noun-adjective distinction and Feinerman art
at 5:25 PM ET on Wednesday, February 7, 2024.
Note: The above is not the standard Spanish
word for pineapple. It actually means . . .
AS A NOUN —
__________________________________________________________
Update on the next day, February 7th —
AS AN ADJECTIVE —
|
"Esta fruta se puede probar también en las vías de acceso a la denominada 'capital piñera de Colombia', donde en la última semana de julio se celebra el Reinado Internacional de la Piña."
"This fruit can also be tasted in the access routes of the 'pineapple capital of Colombia', where during the last week of July they celebrate the International Pineapple pageant."
|
From this journal during the last week of July 2023 —
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— Hat Tip to Wallace Stevens
— Hat Tip to Wallace Stevens
Summer Knowledge in Winter
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Evidence
"And so I enter into evidence
My tarnished coat of arms . . . ."
— Taylor Swift, annotation for a new album.
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Zero Yard Line … Illustrated.
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In Memory of Toby Keith
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Monday, February 5, 2024
Religious* Exclamation
* The author of the above "math tale" reportedly died on
January 6, 2024 — The Feast of Epiphany.
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Quantum Kernel Incarnate
The "quantum kernel" of Koen Thas is a version of the incidence
structure — the Cremona-Richmond configuration — discussed
in the previous post, Doily vs. Inscape .
That post's inscape is, as noted there, an incarnation of the
abstract incidence structure. More generally, see incarnation
in this journal . . . In particular, from Michaelmas last year,
Annals of Mathematical Theology.
A somewhat more sophisticated "incarnation" example
related to the "inscape" concept —
"The hint half guessed, the gift half understood, is Incarnation."
— T. S. Eliot in Four Quartets
See also Numberland in this journal.
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Sunday, February 4, 2024
Doily vs. Inscape: Same Abstract Structure, Different Models
-Thas-2020.jpg)
My own term "inscape" names a square incarnation of what is also
known as the "Cremona-Richmond configuration," the "generalized
quadrangle of order (2, 2)," and the "doily." —
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Microsoft Copilot Doggerel
A poem written yesterday by Microsoft Copilot —
The prompt: "Write a poem … about the Cullinane diamond theorem."
|
In the mind of the mathematician,
Four-diamond figure, a 4×4 array,
Every G-image of the four-diamond figure,
The symmetry of the line diagrams,
And this symmetry must be shared by the entire pattern,
The 35 structures of the 840 = 35 x 24 G-images,
So here lies the beauty of the Cullinane diamond theorem, |
Actually, the complete prompt, suggested by a Log24 post of
12:12 PM ET yesterday, was . . .
"Write a poem in the style of Wallace Stevens
about the Cullinane diamond theorem."
Copilot still has a thing or two to learn about poetic style.
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Saturday, February 3, 2024
For Academic Decepticons: The Kernel Trick
For the meaning of the title, see the Dec. 27, 2023, posts —
now tagged "Kernel Trick."
This post was suggested by a Dec. 27, 2023, A. O. Scott
New York Times essay —
For The Spell of A.O. see "Bullshit"
in a Log24 search for "A. O. Scott."
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For Medium Man in February
"Who can pick up the weight of Britain,
Who can move the German load
Or say to the French here is France again?
Imago. Imago. Imago.
It is nothing, no great thing, nor man
Of ten brilliancies of battered gold
And fortunate stone. It moves its parade
Of motions in the mind and heart,
A gorgeous fortitude. Medium man
In February hears the imagination's hymns
And sees its images, its motions
And multitudes of motions…."
— From Wallace Stevens, "Imago."
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Friday, February 2, 2024
The Code
|
From the film Hurlyburly — I'm hungry. You want a Jack-in-the-Box? I love Jack-in-the-Box. Is that code for something? What? What? Is what code for what? I don't know. I don't know the goddamn code! |
Today is known to some as "Candlemas."
A Log24 search for that term yields, as its final result,
a post from Candlemas 2003 that may or may not
be relevant to the above dialogue.
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Thursday, February 1, 2024
Clarity
"A cold and perfect clarity is a
poison impossible to combat."
— Paul Valéry,
Dance and the Soul
Related material:
Posts now tagged "Circle Square Gauss."
"So put your glad rags on and join me, hon'…."
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Wednesday, January 31, 2024
Dance and the Soul (for St. Bridget’s Eve)
|
Harold Bloom "Stevens may be playful, yet seriously so, in describing desire, at winter's end, observing not only the emergence of the blue woman of early spring, but seeing also the myosotis, whose other name is 'forget-me-not.' Desire, hearing the calendar hymn, repudiates the negativity of the mind of winter, unable to bear what Valéry's Eryximachus had called 'this cold, exact, reasonable, and moderate consideration of human life as it is.' The final form of this realization in Stevens comes in 1950, in The Course of a Particular, in the great monosyllabic line 'One feels the life of that which gives life as it is.' But even Stevens cannot bear that feeling for long. As Eryximachus goes on to say in Dance and the Soul:
Valéry's formula for reimagining the First Idea is, 'The idea introduces into what is, the leaven of what is not.' This 'murderous lucidity' can be cured only by what Valéry's Socrates calls 'the intoxication due to act,' particularly Nietzschean or Dionysiac dance, for this will rescue us from the state of the Snow Man, 'the motionless and lucid observer.'" |
"…at the still point, there the dance is…." — T. S. Eliot
St. Bridget's Still Point … June 25, 2020 —
Roots!
More recently . . .
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Dies Natalis
The New York Times reports the death yesterday, January 30, 2024,
of the wife of Beach Boys co-founder Brian Wilson.
According to the Catholic Church, therefore, yesterday was her
dies natalis — day of birth into heaven.
According to the Times, her secular dies natalis was Oct. 3 (10/03) —
"Melinda Kae Ledbetter was born on Oct. 3, 1946, in Pueblo, Colo."
According to this journal, yesterday's significant "10 03" was a time —
Fans of hallucinatory fiction might recall a saying of Philip Pullman:
"The meaning of a story emerges in the meeting
between the words on the page
and the thoughts in the reader's mind.
So when people ask me what I meant by this story,
or what was the message I was trying to convey in that one,
I have to explain that I'm not going to explain.
Anyway, I'm not in the message business;
I'm in the 'Once upon a time' business."
Words that are somewhat less hallucinatory —
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Wednesday, December 27, 2023
Quantum Kernels
The previous post displayed a use of the phrase "quantum kernel"
by Prof. Dr. Koen Thas of Ghent University. Here is an example of
a rather different, and more widely known, meaning of the phrase —
Synchronology check (approximate) — Also from May 2023 —
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Notes Toward a Ghent Altarpiece
From Prof. Dr. Koen Thas at the University of Ghent on 13 Dec. 2017 —
From this journal on that same date — 13 Dec. 2017 —
Related material for fans of synchronology — both from Nov. 3, 2009 —
Nightlight and Summa Mythologica .
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