See also The Eightfold Cube.
Sunday, January 26, 2020
Duke Blocks
The Wall Street Journal Jan. 24 on a Duke University professor —
"Dr. Daubechies is best known for her work on mathematical structures
called wavelets; her discoveries have been so influential, in fact, that
these are referred to in the field as Daubechies wavelets. She describes
them as 'mathematical building blocks' that can be used to extract the
essential elements of images or signals without losing their quality—
in effect, a new universal language for scientists and researchers."
See also this journal on January 20-21, and …
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Saturday, January 25, 2020
Friday, January 24, 2020
Oettinger Quote
Quote Investigator on May 4, 2010* —
"QI has traced the core of the quotation
to the work of an early researcher in
artificial intelligence, Anthony Oettinger,
who was trying to get a computer to
manipulate the English language."
See as well Oettinger in 1963.
"And that was the state of the art."
— Adapted from Stephen Sondheim
* Cf. this journal on that date.
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Smart Jewish Girl*…
… Suggests the word dreamlogic. And so …
"You are getting sleepy, very sleepy …"
"In this state of free-association, each new thought
resembles or overlaps or somehow connects-to
the previous thought. As our alertness continues to fall —
as we continue to grow more tired — we lose contact with
external reality.
'The sweetness/ of the gentle world you had made for him
dissolving beneath/ his drowsy eyelids, into the foretaste of
sleep — .' (Rilke, transl. Stephen Mitchell.) Eventually we
sleep and dream."
— Edge.org, "Dream-logic, the Internet and Artificial Thought,"
by David Gelernter [7.7.10]
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Exploring Fiction
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Thursday, January 23, 2020
Exploring Schoolgirl Space…
"Old men ought to be explorers." — T. S. Eliot.
Rose the Hat in her younger days.
See as well Barsotti in this journal.
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The Demarcation of Nothing
"… nothing could be demarcated as 'hors d'oeuvre'…"
— Geoffrey Hartman in his Haskins Lecture for 2000
(quoted here on Columbus Day, 2004).
See also May Day 2016 and Gap Dance.
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Adversarial
And now for something completely different . . .
"With Mr. Lehrer reporting from Washington and Mr. MacNeil
from New York, the program sought to represent all sides of
a controversy by eliciting comments from rivals for public
attention. But the anchors deliberately drew no sweeping
conclusions of their own about disputed matters, allowing
viewers to decide for themselves what to believe.
The approach had its drawbacks. An extended presentation
of authoritative voices offering conflicting viewpoints left
some viewers dissatisfied, if not confused. Many found the
technique elitist and dull, and even some critics called it
boring — or, worse, a willful refusal by Mr. Lehrer and Mr.
MacNeil to make hard judgments about adversarial issues
affecting the public interest."
See also the previous two posts.
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Columbus Day 2004
A followup to the previous post:
Related material — A web page on chess cached for use in a
Log24 post on the date of the above post, Columbus Day, 2004.
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Obit et Orbit Continues.
In memoriam —
"Doug co-founded the Secure Machine Learning research group
in 2004, focused on defining how adversaries can influence and
manipulate machine learning algorithms and how to make them
robust against such attacks, culminating in a recently published
book, Adversarial Machine Learning , with a colleague and two
former students."
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Wednesday, January 22, 2020
Gap Dance
From Wallace Stevens, "The Man with the Blue Guitar":
IX
And the color, the overcast blue
Of the air, in which the blue guitar
Is a form, described but difficult,
And I am merely a shadow hunched
Above the arrowy, still strings,
The maker of a thing yet to be made . . . .
"Arrowy, still strings" from the diamond theorem
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Tuesday, January 21, 2020
Eye-in-the-Pyramid Points
"it remains only to choose a pleasing arrangement of {1, 2, … 7}
to label the eye-in-the-pyramid points.
there are, as it’ll turn out, 168 of ’em that’ll work."
— Comment at a weblog on November 27, 2010.
See also Log24 on that date.
The 11/27/2010 comment was on a post dated November 23, 2010.
See also Log24 on that date.
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Monday, January 20, 2020
Dyadic Harmonic Analysis:
The Fourfold Square and Eightfold Cube
Related material: A Google image search for “field dream” + log24.
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Sunday, January 19, 2020
For 6 Prescott Street*
"Freshman Seminar Program Department Administrator Corinna S. Rohse
described the program’s courses, which allow students to study subjects
that vary from Sanskrit to the mathematical basis for chess, as
'jewel-like: small and incredibly well-cut.' "
— The Harvard Crimson , Dec. 10, 2008
For remarks related to Sanskrit, chessboard structure, and "jewel-like"
mathematics, see A Prince of Darkness (Log24, March 28, 2006).
See also Walsh Functions in this journal and …
Lecture notes on dyadic harmonic analysis
(Cuernavaca, 2000)
Compare and contrast these remarks of Pereyra with the following
remarks, apparently by the same Corinna S. Rohse quoted above.
* Location of the Harvard Freshman Seminar program in the 2008
article above. The building at 6 Prescott was moved there from
5 Divinity Avenue in 1978. When the seminar program was started
in the fall of 1959, it was located in a house at 8 Prescott St. (In
1958-1959 this was a freshman dorm, the home of Ted Kaczynski.)
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For a Harvard Classmate Who Died on St. Lucia’s Day
Richard H. Masland and I were in a Harvard freshman seminar together
in the 1960-61 academic year. From a Crimson article on the program —
"Freshman Seminar Program Department Administrator Corinna S. Rohse
described the program’s courses, which allow students to study subjects
that vary from Sanskrit to the mathematical basis for chess, as
'jewel-like: small and incredibly well-cut.' "
This suggests a review of Log24 posts now tagged Four Gates.
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Saturday, January 18, 2020
Interplay
"This interplay of necessity and contingency
produces our anxious— and highly pleasurable—
speculation about the future path of the story."
— Michel Chaouli in "How Interactive Can Fiction Be?"
(Critical Inquiry 31, Spring 2005, page 613.)
See also . . .
Continuing previous Modal Diamond Box posts:
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Friday, January 17, 2020
September Morn
Epigraph from Ch. 4 of Design Theory , Vol. I:
"Es is eine alte Geschichte,
doch bleibt sie immer neu "
—Heine (Lyrisches Intermezzo XXXIX)
This epigraph was quoted here earlier on
the morning of September 1, 2011.
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Design Theory
On a recently deceased professor emeritus of architecture
at Princeton —
“… Maxwell ‘established the school as a principal
center of design research, history and theory.’ ”
“This is not the Maxwell you’re looking for.”
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Orbits and Stabilizers
Sure it does.
See as well, in yesterday's Cornfield post, Plato on
tolerating "the presence of untruth." That not one
of the 29 (as of today) comments on Gowers's post
mentions the above presence of untruth is itself a
comment on the culture of the Academy.
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Thursday, January 16, 2020
NowHere
The title is suggested by the word "NowHere" on a map
that I encountered in a personal weblog post tonight.
Related Google search —
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The Dreaming Jewels of J. R. R. Tolkien
See also Silmarils and, in this journal, The Dreaming Jewels .
Comments Off on The Dreaming Jewels of J. R. R. Tolkien
A Very Stable Cornfield
"We show deeper implications of this simple principle,
by establishing a connection with the interplay
of orbits and stabilizers of group actions."
See also Dark Fields , a post featuring a work of philosophy
translated, reportedly, by one "Francis MacDonald Cornfield" —
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Wednesday, January 15, 2020
The Round Square
From a link in my RSS feed tonight to the Times Literary Supplement ,
via Aldaily.com —
See as well some Log24 posts tagged Circular Rectangle.
Related material: A passage quoted here on Jan. 28, 2009 —
|
When?
Going to dark bed there was a square round Sinbad the Sailor roc's auk's egg in the night of the bed of all the auks of the rocs of Darkinbad the Brightdayler. Where?
— Ulysses, conclusion of Episode 17 |
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Paradigm Shift
Illustration, from a search in this journal for “Symplectic” —
.
Some background: Rift-design in this journal and …
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The Crimson Passion* Continues
Related material — Earlier posts now also tagged Uncanny Valley,
esp. Xmas Colors: Green to Red.
* See a search for Crimson Passion in this journal.
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Tuesday, January 14, 2020
The Finland Station
In memory of a film director who reportedly died on Jan. 9 —
"Lenin . . . . was not the man for swans."
— Stevens, "Description Without Place"
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For a Black Swan
Related material from Stephen King —
— and from Black Swan author Nassim Nicholas Taleb —
See as well this journal on the Taleb date: Feb. 27, 2018 —
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Woo in Review
An article in Scientific American today suggests a review of posts
now tagged "Euclid vs. Woo" and "Trudeau vs. Euclid."
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Monday, January 13, 2020
D8ing Continues
For the Church of Synchronology —
See as well this journal on the above lecture date: April 4, 2018,
in other posts now also tagged D8.
Update of 11:22 PM ET Jan. 13, 2020 —
Note the Christmas Eve date, and compare and contrast with the previous post.
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All About Eve
Or: Space Station 76 Continues.
https://www.yifysubtitles.com/subtitles/ad-astra-english-yify-159200:
See as well this journal on
Christmas Eve, 2019.
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Abandoned Norwegian Space Vessel
"… an abandoned Norwegian space vessel" is a phrase from
a review of the recent film "Ad Astra."
Related material — Bester's "The Stars My Destination."
Book cover (adapted) —
See also the previous post.
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Twenty-Four Quartets
For the source of these figures in pure mathematics, see …
https://www.imdb.com/name/nm9660064/mediaviewer/rm4265298176.
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Sunday, January 12, 2020
Interconnecting the Meaning Fragments
"Meaning fragments" is a phrase from the previous post.
See Wechsler in this journal.
Related material —
"the liberation of the plastic elements."
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Fragments
From this journal on June 25, 2009 —
“… T. S. Eliot tried to recompose, in Four Quartets,
the fragments he had grieved over in The Waste Land.”
— “Beauty and Desecration,” Roger Scruton
From The Guardian today —
From this journal this morning —
“The spatial conception interconnects the meaning fragments
and binds them together . . . .“
— S. Giedion, introduction to Language of Vision by Gyorgy Kepes
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Seeking a Moral
From the previous post —
Psychiatrist Irvin Yalom on Philip Roth's Exit Ghost ,
in an undated interview published in 2008:
"Philip Roth has got a new book out called Exit Ghost ,
which I find touching. He’s ageing and pursuing the
question of what ageing does to a writer’s skills. I’m
dealing with that myself so that book speaks for me
a great deal."
Related material from October 2, 2007 —
See as well this journal on the days before and after
the Kakutani review above:
October 1, 2007 — Bright as Magnesium
October 3, 2007 — Janitor Monitor .
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Cross of the Stations
From the previous post —
"… a single station point for naturalistic representation."
— S. Giedion, introduction to Language of Vision by Gyorgy Kepes
Cf. The Last Station, not The Finland Station.
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Plastic Elements
"Step by step, Kepes follows the liberation of the plastic elements:
lines, planes, and colors, and the creation of a world of forms of our own.
The spatial conception interconnects the meaning fragments and
binds them together just as in another period perspective did when it used
a single station point for naturalistic representation."
— S. Giedion, introduction to Language of Vision by Gyorgy Kepes
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Saturday, January 11, 2020
Mathematical Theology (“Art School Confidential” continues.)
Comments Off on Mathematical Theology (“Art School Confidential” continues.)
Mathematics or Theology?
Hersh wrote a paper with a title containing the phrase
“The Kingdom of Math is Within You.”
In his memory, see Log24 posts from the date of his death
tagged Inner-Space Variations.
Related literature: Hersh's "Death and Mathematics Poems."
See as well this journal on the above publication date.
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Friday, January 10, 2020
Jan. 9 Review
“Work as if you were in the
early days of a better nation.”
— God, according to the author of
1982 Janine
|
From Carole A. Holdsworth, Tanner may have stated it best:
“V. is whatever lights you to
(Tony Tanner, page 36,
She’s a mystery |
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In Memoriam: Mike Resnick
Science fiction author Mike Resnick "died very early today,
January 10, 2020, a little after midnight," his daughter wrote,
according to a Heavy.com article dated "Jan 9, 2020 at 11:07 am."
That date of death accordingly should be "January 9, 2020."
But perhaps the saying "print the legend" is relevant here.
For related fiction, see Resnick's The Dark Lady in this journal
and …
"There was a young lady named Bright
Whose speed was far faster than light;
She set out one day
In a relative way
And returned on the previous night."
[Link added.]
— According to quoteinvestigator.com, this is from the
December 19, 1923, Punch, or The London Charivari ,
Volume 165, "Relativity" (Limerick), page 591, column 1.
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Thursday, January 9, 2020
Universal History (Adapted)
"One of the more fortuitous encounters of late-20th-century popular culture —
almost up there with Lennon meets McCartney and Taylor meets Burton —
took place on Labor Day 1965, at Jane Fonda’s Malibu beach house. The
actress was hosting a daylong bash at which her father, Henry’s,
generation mingled uneasily with her Hollywood hippie friends. The Byrds
played in the backyard. A young comedian-turned-film director named Mike
Nichols was approached by an improv comic-turned-itinerant writer named
Buck Henry, who asked how he was doing. Nichols dourly looked around
at all the proto-Summer of Love vibes and said, 'Here, under the shadow
of the great tree, I have found peace.'
Henry immediately recognized a sardonic East Coast kindred spirit trapped
in Lotusland . . . ."
— Ty Burr, Boston Globe staff, January 9, 2020, 10:34 AM
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Adapt or Die
For Hollywood —
For Emily Yahr (see second item above) —
Buck Henry reportedly died yesterday, January 8, 2020.
This journal on that date a year earlier —
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Wednesday, January 8, 2020
Toronto Word Problem
The phrase "funk to a reality" in the previous post suggests …
For the Toronto Star —
DECODING MATHEMATICS AS A SECOND LANGUAGE
"Dissecting a passage of text in a language other than one's
native language is a daunting task and requires a strategy.
When dissecting mathematical language, readers are faced
with the same challenges, whether the mathematics is in
the form of an equation or in the form of a word problem."
— https://www.jstor.org/stable/20876351
The problem, in this case, is with the word "functoriality."
The solution: See the following article.
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Tuesday, January 7, 2020
Evening of the Iguana
Art notes —
See also the "Night of the Iguana" logo by Saul Bass,
a student of Gyorgy Kepes.
Postscript for synchronologists —
See this journal on that date: Nov. 6, 2011.
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Golden Globe
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Invisible Weaving
See as well a post from this journal on the above date —
June 12, 2014. (That post revisits a post from today's date —
January 7 — eight years ago, in 2012.)
Related material: Dharma Fabric and Symplectic.
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Dharma Fabric
Lines from "Description Without Place" —
"An age is green or red. An age believes
Or it denies. An age is solitude
Or a barricade against the singular man
By the incalculably plural."
— Wallace Stevens
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Monday, January 6, 2020
Art as Experience (Minus Baldessari)
In memory of an artist who reportedly died in Venice, CA, on Jan. 2 —
Two quotes from the website Quotes Sayings —
"I always felt like I was right out of Dickens, looking in the window
of the Christmas feast, but not at the feast." — John Baldessari
"A TWO-DIMENSIONAL SURFACE WITHOUT ANY ARTICULATION
IS A DEAD EXPERIENCE" — John Baldessari
The "dead experience" quote is actually from Gyorgy Kepes:
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Sunday, January 5, 2020
Dog Art
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The Vulgate of Experience
"The eye’s plain version is a thing apart,
The vulgate of experience."
— Wallace Stevens, opening lines of
"An Ordinary Evening in New Haven"
Real architectural detail from a New Year's
Netflix fiction —
Click for context.
See as well a similar architectural detail in
a Log24 post of June 21, 2010.
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Saturday, January 4, 2020
Welcome to the Uncanny Valley Country Club
The previous post suggests a look at some Robot Apocalypse remarks:
Related material —
This journal on the above Stranger Dimensions date —
"Thus the theory of description matters most.
It is the theory of the word for those
For whom the word is the making of the world…."
— Wallace Stevens, "Description Without Place, VII"
See also Finite Relativity (St. Cecilia's Day, 2012).
Some other lines from "Description Without Place" —
"An age is green or red. An age believes
Or it denies. An age is solitude
Or a barricade against the singular man
By the incalculably plural."
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Xmas Colors: Green to Red
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Friday, January 3, 2020
Valhalla Requiem
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Spectral Woo
"… during that spell between the feasts of Christmas and Epiphany
when ghosts and specters are supposed to be abroad . . . ."
Heinrich Zimmer on Sir Gawain and the Green Knight
Times Literary Supplement , January 3, 2020
Sciences | Book Review
The world is not enough:
Guessing at the game God is playing
By Samuel Graydon
See as well …
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Thursday, January 2, 2020
Nada for Hemingway
See Nada + Hemingway in this journal.
The above upload date suggests a look at
other posts now tagged Red to Green.
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Wednesday, January 1, 2020
Águila
"We learned so much about singing from each other because you get to sort of be them for a second when you're shadowing them in harmony. It's like getting on an eagle and getting to see the world through that eagle's experience." Read more: https://www.springfieldspringfield.co.uk/ movie_script.php?movie=linda-ronstadt-the-sound-of-my-voice
See also Aguila de Oro.
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Exploring Inner Space* at The New York Times
From Corrections: Jan. 1, 2020 —
The astronomy article, by Dennis Overbye, is dated Dec. 23* (a Monday).
The above reference to "Tuesday" is explained by the fine print
at the bottom of the Science Times article — "A version of this article
appears in print on [Tuesday] , Section D, Page 6 of the
New York edition with the headline: In Battle of Giant Telescopes,
Outlook for the U.S. Dims."
From the article as quoted on Thursday, Dec. 26,
at https://uclafacultyassociation.blogspot.com —
|
"Now, as the wheels of the academic and government bureaucracy begin to turn, many American astronomers worry that they are following in the footsteps of their physicist colleagues. In 1993, Congress canceled the Superconducting Super Collider, and the United States ceded the exploration of inner space to Europe and CERN, which built the Large Hadron Collider, 27 miles in diameter, where the long-sought Higgs boson was eventually discovered. The United States no longer builds particle accelerators. There could come a day, soon, when Americans no longer build giant telescopes. That would be a crushing disappointment to a handful of curious humans stuck on Earth, thirsting for cosmic grandeur. In outer space, nobody can hear you cry." Source: https://www.nytimes.com/2019/12/23/science/telescopes-magellan-hawaii-astronomy.html |
Related material from this journal on April 2, 2019 —
Cover design by Greg Stadnyk, available in an animated gif.
* See also this journal on Dec. 23.
Comments Off on Exploring Inner Space* at The New York Times
A Hexagram for Pauli*
Pictorial version
of Hexagram 20,
Contemplation (View)
* See Pauli in the Dec. 30
post Number and Time.
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Tuesday, December 31, 2019
New Year’s Eve at the Star Wars Bar
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Happy New Year from Peter J. Cameron
From an earlier A.P. obituary for Mehta —
" When the Center for Fiction honored Mehta in 2018 with a
lifetime achievement award, tributes were written by Joan Didion,
Haruki Murakami and Anne Tyler, who praised 'his precision' and
'deft assurance' and called him the 'Fred Astaire of editing.' "
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Monday, December 30, 2019
“Welcome to Scotland.”
John Brown, Astronomer Royal for Scotland,
reportedly died there in the early morning
of Saturday, November 16, 2019.
See also Alasdair Gray and Eddington Song —
in particular, Logic in the Spielfeld.
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Death on Becket’s Day
Author Alasdair Gray reportedly died yesterday,
on the feast of St. Thomas à Becket.
"His Collected Verse (2010) was followed by
Every Short Story 1951-2012 . Hell and Purgatory ,
the first two parts of his version of Dante’s
Divine Comedy , “decorated and Englished in
prosaic verse”, appeared in 2018 and 2019.
In November Gray received the inaugural
Saltire Society Scottish Lifetime Achievement award."
— https://www.theguardian.com/books/2019/dec/29/
alasdair-gray-obituary
See some related remarks from May 15, 1998.
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Number and Time
(Hat tip for the title to Marie-Louise von Franz.)
Remarks by Metod Saniga from the previous post —
Remarks by Wolfgang Pauli, a friend of von Franz —
"This is to show the world that I can paint like Titian.
[Empty frame with jagged sides]. Only technical details
are missing." — As quoted at Derevianko Group.
Related material (see Oct. 11, 2010) —
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Sunday, December 29, 2019
Springer Link
Related reading —
"I closed my eyes and saw the number 137—
so very close to the reciprocal of alpha—
on the chest of the runner in Van Cortlandt Park.
Should I start the story there? "
— Alpert, Mark. Saint Joan of New York
(Science and Fiction) (p. 103).
Springer International Publishing. Kindle edition.
Cover detail:
See as well St. Joan in this journal.
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Morning of the Iguana
Adam Gopnik in The New Yorker this morning —
" … mysteriously durable manner of mythical depiction,
which runs forward to Egyptian wall paintings and,
for that matter, to modern animation. Therianthropes,
it seems, reflect the symbolic practice of giving to
humans the powers of animals, a shamanistic rite
that seems tied to the origins of religion, and here it is,
for the first time, a startup.
… one of the human figures, we’re told, has
'a tapering profile that possibly merges into the base
of a thick tail and with short, curved limbs splayed out
to the side. In our opinion, this part of the body resembles
the lower half of a lizard or crocodile. …' "
Related art —
Logo by Saul Bass.
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Articulation Raid
“… And so each venture Is a new beginning,
a raid on the inarticulate….”
— T. S. Eliot, “East Coker V” in Four Quartets
|
arXiv:1409.5691v1 [math.CO] 17 Sep 2014
The Complement of Binary Klein Quadric as
Metod Saniga, Abstract
Given a hyperbolic quadric of PG(5, 2), there are 28 points off this quadric and 56 lines skew to it. It is shown that the Keywords:
Combinatorial Grassmannian − |
See also this journal on the above date — 17 September 2014.
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Saturday, December 28, 2019
Caballo Blanco
“The key is the cocktail that begins the proceedings.”
– Brian Harley, Mate in Two Moves
-actions-500w.jpg)
“Just as these lines that merge to form a key
Are as chess squares . . . .” — Katherine Neville, The Eight
“The complete projective group of collineations and dualities of the
[projective] 3-space is shown to be of order [in modern notation] 8! ….
To every transformation of the 3-space there corresponds
a transformation of the [projective] 5-space. In the 5-space, there are
determined 8 sets of 7 points each, ‘heptads’ ….”
— George M. Conwell, “The 3-space PG (3, 2) and Its Group,”
The Annals of Mathematics , Second Series, Vol. 11, No. 2 (Jan., 1910),
pp. 60-76.
“It must be remarked that these 8 heptads are the key to an elegant proof….”
— Philippe Cara, “RWPRI Geometries for the Alternating Group A8,” in
Finite Geometries: Proceedings of the Fourth Isle of Thorns Conference
(July 16-21, 2000), Kluwer Academic Publishers, 2001, ed. Aart Blokhuis,
James W. P. Hirschfeld, Dieter Jungnickel, and Joseph A. Thas, pp. 61-97.
Comments Off on Caballo Blanco
Friday, December 27, 2019
The Secret Life of Mark Alpert
"Alpert, an editor for Scientific American , laces his high-IQ
doomsday thriller with clearly explicated and hauntingly beautiful
scientific theories…."
Booklist on The Omega Theory :
"Alpert’s follow-up to his acclaimed first novel, Final Theory (2008),
continues the adventures of science historian David Swift."
See as well this journal on June 1, 2008.
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God in the Object…
. . . Pace Wallace Stevens.
"The history of the universe can thus be seen as
an endless chain of changes, but Aquinas argued
that there must be some transcendent entity that
initiated the chain, something that is itself
unchanging and that already possesses all of the
properties that worldly objects can come to possess.
He also claimed that this entity must be eternal;
because it is the root of all causes, nothing else
could’ve caused it. And unlike all worldly objects,
the transcendent entity is necessary—it must exist."
— Mark Alpert in Scientific American, 12/23/2019
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Thursday, December 26, 2019
Wednesday, December 25, 2019
O Found
Hat tip to University Diaries for today's link to…
O Lost (Thomas Wolfe in The Paris Review , Winter 1999).
See as well —
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Tuesday, December 24, 2019
Stille Nacht
Later in the film… "He's not Einstein… You're Einstein."
Related material at the University of Iowa —
See as well this journal on the above Daily Iowan date.
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Lucy Noir …
… Continued from August 26 —
Heidegger, "Hölderlin and the Essence of Poetry,"
translated by Douglas Scott, in Existence and Being ,
Regnery, 1949, pp. 291-316—
See as well Readings for St. Patrick's Day, March 17, 2005.
Comments Off on Lucy Noir …
Monday, December 23, 2019
Orbit
"December 22, the birth anniversary of India’s famed mathematician
Srinivasa Ramanujan, is celebrated as National Mathematics Day."
— Indian Express yesterday
"Orbits and stabilizers are closely related." — Wikipedia
Symmetries by Plato and R. T. Curtis —
In the above, 322,560 is the order
of the octad stabilizer group .
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Sunday, December 22, 2019
M24 from the Eightfold Cube
Exercise: Use the Guitart 7-cycles below to relate the 56 triples
in an 8-set (such as the eightfold cube) to the 56 triangles in
a well-known Klein-quartic hyperbolic-plane tiling. Then use
the correspondence of the triples with the 56 spreads of PG(3,2)
to construct M24.
Click image below to download a Guitart PowerPoint presentation.
See as well earlier posts also tagged Triangles, Spreads, Mathieu.
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Saturday, December 21, 2019
Last of the God Professors
From some autobiographical remarks by Simon During,
who was featured in the previous post —
For more on the phrase “god professor,” see
“The Ownership of Knowledge in Higher Education
in Australia 1939-1996,” Hannah Forsyth, Ph.D. thesis,
University of Sydney, 2012
Simon During at Utrecht earlier this year —
For the Church of Synchronology, other April 11, 2019, remarks —
See in particular the phrase “Eritis sicut dei ” in the Log24 remarks.
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Melbourne Noir Continues
The previous post's link to posts tagged March 8, 2018,
suggests a look at recent thoughts by a Melbourne academic:
Manifesto in Green and Red
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Friday, December 20, 2019
Identity Theory*
The van Dam cited by Polster should not be confused
with the fictional Vandamm of "North by Northwest."
See Pursued by a Biplane (Log24, May 23, 2017).
* For the title, see posts tagged March 8, 2018.
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Triangles, Spreads, Mathieu…
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Thursday, December 19, 2019
In the Game
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Product 19
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Tuesday, December 17, 2019
A Singular Eye
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Picturing Aitchison’s Mathieu Generators
Click to enlarge.
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Monday, December 16, 2019
Penning
New Yorker art critic Peter Schjeldahl
as quoted today by Margaret Soltan —
Unlike computers. See ReactiveX and Observable.
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Writer’s Block
|
Frindle, Helen. The Sentient Shield . “But why, I am not aware or can’t remember anything; previous lives, contracts, whatever.” “Perhaps not, but the block has been removed. As I understand blocks are placed because the person would not be able to cope with the information of their past life, or lives, or experiences that may have been so terrible. It seems however that what is happening is that you are now needed to wake up and remember and that is why the block has been removed.” “Wake up. I don’t understand. I am sorry, I keep repeating myself but I don’t understand!” Maddy shook her herself and went quiet, she thought perhaps she needed to listen to Pam. “At this present time no, but it has been removed and you will begin to become, let’s say, more aware and remember.” “Remember what, here I go again, it seems like a riddle to me and I am beginning to feel very odd, in fact even a little frightened. It seems as if we are venturing into things that are rather supernatural.” |
Amen. See also The Crosswicks Curse.
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Design Notes Dec. 11
From The New York Times on Dec. 11 —
See also some other posts in this journal now tagged "Design Notes Dec. 11."
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Sunday, December 15, 2019
For Harlan Kane* — The Frindle Kindle
"Thus the nature of reality comes into question…."
— Frindle, Helen. The Sentient Shield , author's preface.
Austin Macauley Publishers Ltd. Kindle edition.
Published on December 11, 2018:
————————————————————————————————————–
This journal on December 11, 2018 —
* See as well other references to Harlan Kane in this journal.
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Saturday, December 14, 2019
Colorful Tale
The above image is from
"A Four-Color Theorem:
Function Decomposition Over a Finite Field,"
http://finitegeometry.org/sc/gen/mapsys.html.
These partitions of an 8-set into four 2-sets
occur also in Wednesday night's post
Miracle Octad Generator Structure.
This post was suggested by a Daily News
story from August 8, 2011, and by a Log24
post from that same date, "Organizing the
Mine Workers" —
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Friday, December 13, 2019
Apollo’s 13 Revisited
(Adapted from Encyclopaedia Britannica,
Eleventh Edition (1911), Crystallography .)
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Thursday, December 12, 2019
Wednesday, December 11, 2019
Miracle Octad Generator Structure
(Adapted from Eightfold Geometry, a note of April 28, 2010.
See also the recent post Geometry of 6 and 8.)
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Klein Quadric
The architecture of the recent post
Geometry of 6 and 8 is in part
a reference to the Klein quadric.
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