The references in the previous post to November 1985 suggest . . .
The provocative pencil in the above image suggests
a review of the word "desmic" in this journal —
The references in the previous post to November 1985 suggest . . .
The provocative pencil in the above image suggests
a review of the word "desmic" in this journal —
Examples of Narrative:
Example of Mathematics:
From the month — November 1985 — in the second example above —
* Addicts of narrative might consult "Friends of Nemo."
** See Mathematics + Narrative in this journal and . . .
"As the chaos grew . . . ." —
A screenshot from this evening's viewing —
From an Instagram story posted earlier today . . .
Sense8 fans may make of this what they will.
In today's online New York Times , Kathryn Harrison reviews a new novel:
MATRIX
By Lauren Groff
From the online New York Times Book Review on May 24, 2018 —
From this journal on May 24, 2018 —
Further remarks by Lauren Groff on May 24, 2018 —
"Something invisible and pernicious seems to be preventing
even good literary men from either reaching for books with
women’s names on the spines, or from summoning women’s
books to mind when asked to list their influences. I wonder
what such a thing could possibly be."
Quentin Tarantino?
"It seems no coincidence that all of these titles
are written by women, for a primary angle of
Gunpowder Milkshake is one that tries its best
to promote 'feminism'… in a Quentin Tarantino
sort of way."
Or Lévi-Strauss?
See Log24 posts on The Matrix of Lévi-Strauss.
Starring J. J. Abrams as Leonhard Euler?
Related material —
The Cornell cap in the recent HBO "White Lotus" —
“The great Confucius guided China spiritually for over 2,000 years.
The main doctrine is ' 仁 ' pronounced 'ren', meaning two people,
i.e., human relationship. Modern science has been highly competitive.
I think an injection of the human element will make our subject more
healthy and enjoyable."
— Geometer Shiing-Shen Chern in a Wikipedia article
See the "ren" character in Wiktionary. See as well . . .
"The development of ren ( 仁 ) in early Chinese philosophy,"
By Robin Elliott Curtis, U. of B.C. Master's thesis, 2016 —
Thus, we can conclude that several different forms of
the character ren , were in existence during the
Warring States period. This shows that etymological analyses
focusing exclusively on the combination of 人 and 二 are inadequate.
It should also serve as a warning against “character fetishization,”
or giving “exaggerated status to Chinese characters in the interpretation
of Chinese language, thought, and culture.” 46
46 Edward McDonald 2009, p. 1194.
McDonald, Edward. 2009. “Getting over the Walls of
Discourse: 'Character Fetishization' in Chinese Studies.”
The Journal of Asian Studies 68 (4): 1189 – 1213.
Wikipedia article on Ren in Confucianism:
人 + 二 = 仁 (Rén) man on left two on right, the relationship between two human beings, means co-humanity. Originally the character was just written as丨二 [citation needed] representing yin yang, the vertical line is yang (bright, traditionally masculine, heaven, odd numbers), the two horizontal lines are yin (dark, traditionally feminine, earth, even numbers), 仁 is the core of everything. |
"The core of everything" . . . Citation needed ?
Ave
A letter in The Mathematical Intelligencer , January 1988
http://www.log24.com/noindex-pdf/
Cullinane-letter-Artes_Liberales-Intelligencer.pdf —
Vale
A farewell lecture at Yale, April 2013
Kagan's obituary in the online New York Times tonight
says that he died at 89 on August 6, 2021.
The above farewell lecture of Kagan was on Thursday, April 25, 2013.
From this journal on Kagan's "born yesterday" date — April 24, 2013 —
"By groping toward the light we are made to realize
how deep the darkness is around us."
— Arthur Koestler, The Call Girls: A Tragi-Comedy ,
Random House, 1973, page 118
For Stephen King and the Club Dumas —
Related perceptive remarks by Juliane Ungänz —
Zweig was the author of Schachnovelle .
Bryan Marquard in The Boston Globe yesterday
on a professor who died on 7 July, 2021 —
" A Harvard Medical School professor emeritus in psychiatry,
Dr. Hobson told the Globe in 2011 that he didn’t 'feel bad about
taking on Sigmund Freud. I think Sigmund Freud has become
politically correct. Psychoanalysis has become the bible, and
I think that’s crazy.'
He also forcefully set aside the theories of Carl Jung, the Swiss
psychiatrist who analyzed dreams and saw them as important
messages sent from the psyche.
'If you’re a pure scientist, Jung is just deadly,' Dr. Hobson said
in [a] 2005 interview. 'The collective unconscious, the anima …
these are literary constructs. You can’t do any science on that
kind of stuff.' ”
See as well this journal on 7 July 2021 —
And then there is the perspective of the above date — May 22, 2017 —
in this journal:
". . . and just as God defeats the devil . . . ."
— André Weil to his sister.
Accompanied by Elton John music?
In memory of Ed Wood:
"Such a brilliant director, a fucking powerhouse…."
— Recent Instagram comment
"Twilight was theatrically released on November 21, 2008;
it grossed over US$393 million worldwide. It was released
on DVD March 21, 2009 and became the most purchased
DVD of the year." — Wikipedia
See also November 21, 2008, in posts tagged Olaf Gate.
Related material —
As inquisitions go, I prefer the Holy Office of Philip Pullman.
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
(Suggested by a recent Instagram post.)
https://wordhistories.net/2017/07/10/ Box and Cox is largely based on Frisette , a one-act vaudeville by the French playwrights Eugène Labiche (1815-88) and Auguste Lefranc (1814-78), first staged at the Théâtre du Palais-Royal, Paris, on Tuesday 28th April 1846. In this play, Madame Ménachet, the housekeeper, rents out, without their knowledge, the same room to Gabriel Gaudrion, a baker’s assistant, who uses it during the day, and to Frisette, a lace-maker, who uses it during the night. . . . . |
A scene from Frisette —
"To demonstrate standing, a claimant must first show
he has incurred concrete, particularized and actual
or imminent injury; that the injury can be fairly traced
back to what is being challenged in court and that
the remedy sought can redress the issue."
— https://yaledailynews.com/
blog/2018/02/27/law-clinic-pushes-for-
fisa-court-transparency/
The above Yale date suggests a review of . . .
Raiders of the Lost Images . . .
which in turn suggests a review of Square Space.
Soundtrack (condensed) —
Memories, Dreams, Reflections
Recorded and edited By Aniela Jaffé, From pages 195-196:
“Only gradually did I discover what the mandala really is:
* Faust , Part Two, trans. by Philip Wayne (Harmondsworth,
… Gestaltung, Umgestaltung,
Jung’s “Formation, Transformation” quote is from The speaker is Mephistopheles. |
"I have too much backstory" — Bryan Cranston, 2012
Or not enough.
The title was suggested by a New Yorker photo caption
about Yale on June 19, 2021 —
"Amy Chua, a celebrity professor at the top-ranked
law school in the country, is at the center of a
campus-wide fracas known as 'Dinner Party-gate.' "
Other recent Yale material —
Remarks related to New Haven and geometry —
From Number and Time ,
by Marie-Louise von Franz,
Northwestern U. Press paperback,
December 31, 1974 —
Star Wars Chess:
Originally chess seems to have represented an earthly mirror-image of "the stars' battles in Heaven,"22 an outline of those battles from which man's destiny proceeded. 22. See Joseph Needham, Science and Civilization in China (Cambridge, 1959), III, 540ff., 303ff.; see also IV, pt. 1, 230, 265, 327 ff.
From the recent film The New Mutants —
Anya Taylor-Joy plays in a pool:
"Roll credits."
meta itemprop="datePublished" content="2020-10-30T23:48:08-0700"
view-source:https://mind-swim.com/profiles/damon-lawner
The hillbilly response —
— Image courtesy of yankeegirl60.
From today's New York Times obituary of a pioneering filmmaker —
"In 1948, he enrolled at the University of Toronto
to study political science and economics.
The avant-garde filmmaker Maya Deren taught
a workshop at the university one semester and
he became her lighting assistant. She encouraged
him to abandon economics and make movies instead."
Deren previously appeared here on Sunday, March 31, 2019:
For some wide-screen non-illusion, see . . .
Related material —
This book was not in the original novel, and its title is plagiarized.
Blame screenwriter Scott Frank, not Gambit author Walter Tevis.
Related material:
The previous post, and Gambit star Anya Taylor-Joy
in The Witch: A New England Folktale (2015).
See as well, from the late-October Strogatz date above —
As did Quine?
* The Chronicle of Higher Education publishes the online Arts & Letters Daily ,
from which the above citation of a book review is taken. The review itself is from
the leftist Los Angeles Review of Books . The review quotes a book by Deborah
Harkness, The Jewel House , published by Yale University Press on Oct. 28, 2008.
Yale University Press on Harkness:
"Deborah E. Harkness is professor of history,
University of Southern California.
She is the author of John Dee’s Conversations with Angels :
Cabala, Alchemy, and the End of Nature and of
the New York Times bestseller A Discovery of Witches .
http://deborahharkness.com ."
See also this journal in late October, 2008.
“The following is an excerpt from Joshua Cohen’s
new novel, The Netanyahus, out next week
in the UK from Fitzcarraldo Editions, and on June 22
in the US from New York Review Books.”
— https://nplusonemag.com/online-only/
online-only/an-american-historian/
” After half a century in the professorate,
I was recently retired from my post as the
Andrew William Mellon Memorial Professor
of American Economic History at Corbin University
in Corbindale, New York, in the occasionally rural,
occasionally wild heart of Chautauqua County,
just inland from Lake Erie among the apple orchards
and apiaries and dairies—or, as dismissive, geographically
illiterate New York City–folk insist on calling it, ‘Upstate.’ ”
For some background on the source, see Wikipedia
on Joshua Cohen and on n+1 magazine.
A related search result:
Though the n+1 piece was published April 27, I have only now noticed it.
Perhaps some quicker picker-upper in Chautauqua County has already
written about the novel’s local color.
A post from this journal on that date, April 27, was related to my own
non-fictional college experience in Fredonia, NY (Chautauqua County) —
Tuesday, April 27, 2021 —New Site
The title flashes back to Eliza Doolittle Day 2012.
“Young girls are coming to the canyon . . .” — Song lyric
“The song is featured in Drew Goddard‘s 2018 film
Bad Times at the El Royale.
The song is also featured during a pivotal scene
in Quentin Tarantino‘s 2019 film
Once Upon a Time… in Hollywood.” — Wikipedia
See other posts now tagged Yale Weekend.
That weekend, Sat. Nov. 23 — Sun. Nov. 24, 2013,
saw the death of Yale professor Sam See
in a New Haven Jail.
Related literary remarks:
Search "Merve Emre" + "Sam See."
* Vide Log24 references.
Drilling down . . .
My own, more abstract, academic interests are indicated by
a post from this journal on January 20, 2020 —
Dyadic Harmonic Analysis: The Fourfold Square and Eightfold Cube.
Those poetically inclined may regard that post as an instance of the
“intersection of the timeless with time.”
From the RSS feed of The Chronicle of Higher Education ‘s site
Arts & Letters Daily this evening —
“Despite the wide scope of his bibliography and reception,
Derrida was a specialist in a subfield of his own design,
more or less: the philosophy of writing, which upends
the privileging of speech over writing that has dominated
Western metaphysics since Plato. This ‘phonocentrism’
(which Derrida yarns into ‘logocentrism,’ and eventually,
‘phallocentrism’) starts from a false premise, that the
moment of utterance in Aristotle’s view is somehow more
rhetorically ‘present’ than the kairos of writing….”
— Andrew Marzoni, March 10, 2021:
“Outside the Text: Jacques Derrida resists
easy canonization in a new hagiography for the Left.”
https://thebaffler.com/latest/outside-the-text-marzoni
A related image from this journal
on that same date, March 10, 2021:
According to Lt. Col. Wayne M. McDonnell in June 1983 —
“… it is accurate to observe that when a person experiences
the out-of- body state he is, in fact, projecting that eternal spark
of consciousness and memory which constitutes the ultimate
source of his identity….”
— Section 27, “Consciousness in Perspective,” of
“Analysis and Assessment of Gateway Process.”
A related quotation —
“In truth, the physical AllSpark is but a shell….”
— https://tfwiki.net/wiki/AllSpark
From the post Ghost in the Shell (Feb. 26, 2019) —
See also, from posts tagged Ogdoad Space —
“Like the Valentinian Ogdoad— a self-creating theogonic system
of eight Aeons in four begetting pairs— the projected eightfold work
had an esoteric, gnostic quality; much of Frye’s formal interest lay in
the ‘schematosis’ and fearful symmetries of his own presentations.”
— From p. 61 of James C. Nohrnberg’s “The Master of the Myth
of Literature: An Interpenetrative Ogdoad for Northrop Frye,”
Comparative Literature , Vol. 53 No. 1, pp. 58-82, Duke University
Press (quarterly, January 2001)
— as well as . . .
Related illustration from posts tagged with
the quilt term Yankee Puzzle —
From this journal on Nov. 9-12, 2004:
Fade to Black “…that ineffable constellation of talents that makes the player of rank: a gift for conceiving abstract schematic possibilities; a sense of mathematical poetry in the light of which the infinite chaos of probability and permutation is crystallized under the pressure of intense concentration into geometric blossoms; the ruthless focus of force on the subtlest weakness of an opponent.” — Trevanian, Shibumi “‘Haven’t there been splendidly elegant colors in Japan since ancient times?’ ‘Even black has various subtle shades,’ Sosuke nodded.” — Yasunari Kawabata, The Old Capital An Ad Reinhardt painting described in the entry of Ad Reinhardt, Abstract Painting, 1960-66. The viewer may need to tilt the screen to see that “The grid is a staircase to the Universal…. We could think about Ad Reinhardt, who, despite his repeated insistence that ‘Art is art,’ ended up by painting a series of… nine-square grids in which the motif that inescapably emerges is a Greek cross. Greek Cross There is no painter in the West who can be unaware of the symbolic power of the cruciform shape and the Pandora’s box of spiritual reference that is opened once one uses it.” — “Grids,” by Rosalind Krauss, |
Related material from The New York Times today —
From other posts tagged Tetrahedron vs. Square —
"There is such a thing as a 4-set."
— Saying adapted from a 1962 young-adult novel.
Illustration (central detail a from the above tetrahedral figure) —
A Harvard Variation
from Timothy Leary —
The topics of Harvard and Leary suggest some other cultural
history, from The Coasters — "Poison Ivy" and "Yakety Yak."
From a post of August 30, 2015 —
“… recall the words of author Norman Mailer
that summarized his Harvard education —
‘At times, bullshit can only be countered
with superior bullshit.’ “
And at times, non-bullshit is required.
BS from The New York Times Friday on the mathematical fields
known as topology and analysis in the 1960s —
“The two fields seemed to be nearly irremediably divided,
because topology twists objects around, and analysis
needs them to be rigid.”
Some less ignorant remarks from 1986:
The above Gauss-Bonnet theorem (ca. 1848) is explained in a talk titled
“Analysis Meets Topology” labeled with the above Emma Stone date —
“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
See also Lawrence, Kansas, in a Log24 search for August 2, 2002.
Related material: Text Tiles posts and, also from Lawrence, Kansas . . .
"Take out the papers and the trash"
—The first line of the song Yakety-Yak (1958).
Related cultural observation —
The above passage is from "The Matrix," a post of Nov. 23, 2017 —
“ Harry decides his chief peacetime duty is to use his
gift for gab to further his ‘overriding purpose,’ namely:
‘By recalling the past and freezing the present he could
open the gates of time and through them see all
allegedly sequential things as a single masterwork
with neither boundaries nor divisions.’ Once he opens
these gates, Harry will flood his audience with his
redemptive epiphanic impression that ‘the world was
saturated with love.’ ”
— Liesl Schillinger, review of Mark Helprin’s novel
In Sunlight and in Shadow in The New York Times ,
Oct. 5, 2012
"I need a photo-opportunity,
I want a shot at redemption.
Don't want to end up a cartoon
In a cartoon graveyard."
— Rhymin' Simon
See as well Kristen Stewart in the
film version of . . .
” ‘The Maori named him Rog,’ Yael continued,
‘because those were the only I.D. letters that could
be made out on the wreck.’ ”
— Alfred Bester, The Deceivers
Valentine reportedly died on December 29, 2020.
Related dialogue from “The Mirror Has Two Faces” (1996) —
– It’s interesting how coupling appears in nature and mathematics.
– You were talking about pairs …
– Oh, the twin-prime conjecture. It explores pairs of prime numbers.
Those only divisible by themselves. Three-five. Five-seven.
Not seven-nine …
– Nine can be divided by three.
– That’s right. And … and so on. It was discovered that pairs were
often separated by …
– One number in between.
– Exactly. Did you read my book?
– No, I’m sorry.
– That’s okay. This is marvellous.
– A first date like a game show.
– I didn’t mean to lecture.
– I’m sorry, I didn’t mean to call it a date.
Twin-Prime Dates —
December 31 and December 29, 2020.
“Though the Witch knew the Deep Magic, there is a magic deeper still
which she did not know. Her knowledge goes back only to the dawn
of time. But if she could have looked a little further back, into the
stillness and the darkness before Time dawned…she would have known
that when a willing victim who had committed no treachery was killed
in a traitor’s stead, the Table would crack and Death itself would start
working backwards.”
– C. S. Lewis, The Lion, the Witch and the Wardrobe , as quoted at
https://apologyanalogy.com/death-working-backwards/ .
George Clooney to Matt Damon —
“There’s a Michelangelo joke to be made.”
A search in this journal for Michelangelo suggests . . .
How about “Bach meets Bochner“?
From old posts tagged Change Arises —
From Christmas 2005:
For the eightfold cube For an rather more Click on image for details. |
The phrase “change arises” is from Arkani-Hamed in 2013, describing
calculations in physics related to properties of the positive Grassmannian —
A related recent illustration from Quanta Magazine —
The above illustration of seven cells is not unrelated to
the eightfold-cube model of the seven projective points in
the Fano plane.
See a Log24 search that includes earlier posts on “Redactedentity.”
Recent activity by that entity at the Encyclopedia of Mathematics:
As the above “recent changes” list notes, Redactedentity added
a new favicon section to Talk:EoM on December 7, 2020. Details —
The new section as it appeared later, with “Redactedentity”
replaced by “Mihir Narayanan” —
Update at 5:35 PM ET on Thursday, Dec. 10, 2020 —
User “Redactedentity” at Wikipedia is now user “Mihir Narayanan.”
“That really is, really, I think, the Island of the Misfit Toys at that point.
You have crossed the Rubicon, you jumped on the crazy train and
you’re headed into the cliffs that guard the flat earth at that time, brother,”
said Rep. Denver Riggleman, a Republican congressman from Virginia,
in an interview."
— Jon Ward, political correspondent, Yahoo News , Nov. 12, 2020
The instinct for heaven had its counterpart:
The instinct for earth, for New Haven, for his room,
The gay tournamonde as of a single world
In which he is and as and is are one.
— Wallace Stevens, "An Ordinary Evening in New Haven"
Related material for comedians —
See as well Sallows in this journal.
“There exists a considerable literature
devoted to the Lo shu , much of it infected
with the kind of crypto-mystic twaddle
met with in Feng Shui.”
— Lee C. F. Sallows, Geometric Magic Squares ,
Dover Publications, 2013, page 121
Flashback to Sept. 7, 2008 —
Change for Washington:
For the details, see yale.edu/lawweb:
“As important to Chinese civilization as the Bible is to Western culture,
the I Ching or Book of Changes is one of the oldest treasures of
world literature. Yet despite many commentaries written over the years,
it is still not well understood in the English-speaking world. In this
masterful [sic ] new interpretation, Jack Balkin returns the I Ching to
its rightful place….
Jack M. Balkin
Jack M. Balkin is Knight Professor of Constitutional Law
and the First Amendment at Yale Law School, and
the founder and director of Yale’s Information Society Project.
His books and articles range over many different fields….”
From the previous post:
“… all things, whether below or above appearance,
are one and that it is only through reality, in which
they are reflected or, it may be, joined together,
that we can reach them.”
See also “The Bond with Reality.”
From a page linked to yesterday in The Newton Methods —
A related fiction —
From one of the best books of the 20th century:
by Richard Brautigan “The Chemicals that resided in the jar were a combination of hundreds of things from all over the world. Some of The Chemicals were ancient and very difficult to obtain. There were a few drops of something from an Egyptian pyramid dating from the year 3000 B.C. There were distillates from the jungles of South America and drops of things from plants that grew near the snowline in the Himalayas. Ancient China, Rome and Greece had contributed things, too, that had found their way into the jar. Witchcraft and modern science, the latest of discoveries, had also contributed to the contents of the jar. There was even something that was reputed to have come all the way from Atlantis…. … they did not know that the monster was an illusion created by a mutated light in The Chemicals. a light that had the power to work its will upon mind and matter and change the very nature of reality to fit its mischievous mind.” |
Also on May 2, 2020 — A paper on Cubism as Religion is accepted:
Some may question the desirability of acceptance by MDPI.
Acceptance at the Pearly Gates is another matter.
Detail of illustration by Frederick Alfred Rhead of Vanity Fair,
page 96 in the John Bunyan classic Pilgrim’s Progress
(New York, The Century Co., 1912)
"After years in hiding, latex fashion re-emerged in the late 1950s,
thanks to the British designer John Sutcliffe, who created the world’s
first catsuit – the prototype rubber-fetish garment. …
The 1960s British spy series The Avengers was monumental
in bringing rubberwear to the masses. The show’s feminist heroine,
Emma Peel (played by Diana Rigg), was styled in a latex, Sutcliffe-
inspired catsuit. With Peel as a media archetype, latex’s second-skin
look wasn’t just sexy, it was superhuman.
Sutcliffe capitalised on the obsession with his products, and founded
AtomAge Magazine in 1972. The periodical, filled with artful and erotic
bondage imagery, gained a huge following among fetishists, and made
quite the splash on London’s progressive fashion scene. "
— By Cassidy George, bbc.com, 8th January 2020
See also an image from a Log24 post on that date a year earlier—
Instagram story from Marrific last night, with
theme from “Rocky” playing in background —
Instagram photo from Marrific on May 3, 2018 —
“This is a fight not over the contents of the cocktails but the cups in which
they’re served. Both are long, plastic ‘yard cup’-style containers with
customized bulbous bottoms. On the hand grenade, this is modeled after
the namesake explosive, while for Willie’s cocktail it’s a rooster body,
extending through the shaft of the cup to a rooster’s beak decked with
sunglasses.”— Ian McNulty, nola.com, April 10, 2019
Risin’ Up to the Challenge of Our Rival —
The Knight of Cups may wish to consult the above Marrific
cock tale date in this journal — May 3, 2018.
See also a different interpretation, by David Lynch,
of the “twin peaks” concept —
Midrash for Mayakofsky —
Detail from the Norwegian webpage in the previous post —
Related material in this journal — Chariot Race and Vajrayana.
Galore Magazine , September 2017 issue —
In this shoot, Jaime takes us through the many sides
of her personality — inspired by the Seven Deadly Sins —
and reflects on her life in the spotlight so far.
Related Wikipedia article suggested by the Galore icons above —
See also this journal on the above date — August 29, 2017.
Charles Taylor,
“Epiphanies of Modernism,”
Chapter 24 of Sources of the Self
(Cambridge U. Press, 1989, p. 477) —
“… the object sets up
a kind of frame or space or field
within which there can be epiphany.”
See also Talking of Michelangelo.
Related material for comedians —
Literature ad absurdum —
"… the beautiful object
that stood in
for something else.”
— Holland Cotter quoting an art historian
in The New York Times on May 13
From a post of April 27, 2020 —
“The yarns of seamen have a direct simplicity,
the whole meaning of which lies within the shell
of a cracked nut. But Marlow was not typical
(if his propensity to spin yarns be excepted),
and to him the meaning of an episode was not inside
like a kernel but outside….”
— Joseph Conrad in Heart of Darkness
The beautiful object —
Something else —
* The title is a reference to other posts now also tagged Art Issue.
“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
What is the vashikaran? – QuoraMar 17, 2015 – Vashikaran is a well-known term in the field of Tantra and Mantra. It is an ancient legacy Tantra and Mantra used to control someone’s mind. It is a tantrik process … |
From Log24 on August 30, 2013 —
Portrait, in the 2013 film Oblivion , of a 2005 graduate of London’s Royal Academy of Dramatic Art — London derrière. |
From a 2015 film viewed last night —
“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
Illustrations, from the American Mathematical Society Spring
2020 book sale, of a book scheduled to be published May 28.
“At that instant he saw, in one blaze of light, an image of unutterable
conviction, the reason why the artist works and lives and has his being –
the reward he seeks –the only reward he really cares about, without which
there is nothing. It is to snare the spirits of mankind in nets of magic,
to make his life prevail through his creation, to wreak the vision of his life,
the rude and painful substance of his own experience, into the congruence
of blazing and enchanted images that are themselves the core of life, the
essential pattern whence all other things proceed, the kernel of eternity.”
— Thomas Wolfe, Of Time and the River
“… the stabiliser of an octad preserves the affine space structure on its
complement, and (from the construction) induces AGL(4,2) on it.
(It induces A8 on the octad, the kernel of this action being the translation
group of the affine space.)”
— Peter J. Cameron,
The Geometry of the Mathieu Groups (pdf)
“The yarns of seamen have a direct simplicity, the whole meaning
of which lies within the shell of a cracked nut. But Marlow was not
typical (if his propensity to spin yarns be excepted), and to him the
meaning of an episode was not inside like a kernel but outside…."
— Joseph Conrad in Heart of Darkness
This post was suggested by a David Justice weblog post yesterday,
Coincidence and Cosmos. Some related remarks —
“The yarns of seamen have a direct simplicity, the whole meaning
of which lies within the shell of a cracked nut. But Marlow was not
typical (if his propensity to spin yarns be excepted), and to him the
meaning of an episode was not inside like a kernel but outside,
enveloping the tale which brought it out only as a glow brings out a
haze, in the likeness of one of these misty halos that sometimes
are made visible by the spectral illumination of moonshine.”
— Joseph Conrad in Heart of Darkness
“By groping toward the light we are made to realize
how deep the darkness is around us.”
— Arthur Koestler, The Call Girls: A Tragi-Comedy,
Random House, 1973, page 118
See as well posts now tagged Crux.
This post was suggested by yesterday morning's link to The Fano Hallows.
"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
A symbol related to The Fano Hallows —
See the web pages octad.group and octad.us.
Related geometry (not the 759 octads, but closely related to them) —
The 4×6 rectangle of R. T. Curtis
illustrates the geometry of octads —
Curtis splits the 4×6 rectangle into three 4×2 "bricks" —
.
"In fact the construction enables us to describe the octads
in a very revealing manner. It shows that each octad,
other than Λ1, Λ2, Λ3, intersects at least one of these ' bricks' —
the 'heavy brick' – in just four points." . . . .
— R. T. Curtis (1976). "A new combinatorial approach to M24,"
Mathematical Proceedings of the Cambridge Philosophical Society ,
79, pp 25-42.
A doodle from 2012’s Feast of the Epiphany— A doodle based on a post for Twelfth Night, 2003— |
Related material —
Sunday’s Plan 9 from Yale as well as
http://www.arcadiainstitution.org/?page_id=16
and
https://www.flickr.com/photos/lselibrary/4114751310/in/photolist-7gBbd7
.
The Boston Globe on the dead architect of the previous post —
"Mr. McKinnell, who was a fellow of the American Institute of Architects
and the American Academy of Arts and Sciences, and a member of the
Royal Institute of British Architects, taught for many years at the
Harvard Graduate School of Design and the Massachusetts Institute of
Technology School of Architecture and Planning."
Some ugly rhetoric to go with the ugly architecture —
Suggested by Lyndon in “Devs” (Hulu), Episode 4 —
Above, Hailee Steinfeld in a fanciful portrayal
of poet Emily Dickinson.
"Dirk Pitt is a fictional character created by American novelist Clive Cussler
and featured in a series of novels published from 1976 to 2009. Pitt is a
larger-than-life hero reminiscent of pulp magazine icon Doc Savage."
"Algebra is the offer made by the devil to the mathematician."
— Sir Michael Atiyah, quoted here in Two Views of Finite Space.
Author Clive Cussler, who reportedly died Monday at 88 —
“I detested school,” he told Publishers Weekly in 1994.
“I was always the kid who was staring out the window.
While the teacher was lecturing on algebra, I was on
the deck of a pirate ship or in an airplane shooting down
the Red Baron.”
Related material —
The 759 octads of the Steiner system S(5,8,24) are displayed
rather neatly in the Miracle Octad Generator of R. T. Curtis.
A March 9, 2018, construction by Iain Aitchison* pictures the
759 octads on the faces of a cube , with octad elements the
24 edges of a cuboctahedron :
The Curtis octads are related to symmetries of the square.
See my webpage "Geometry of the 4×4 square" from March 2004.
Aitchison's p. 42 slide includes an illustration from that page —
Aitchison's octads are instead related to symmetries of the cube.
Note that essentially the same model as Aitchison's can be pictured
by using, instead of the 24 edges of a cuboctahedron, the 24 outer
faces of subcubes in the eightfold cube .
Image from Christmas Day 2005.
* http://www.math.sci.hiroshima-u.ac.jp/branched/files/2018/
presentations/Aitchison-Hiroshima-2-2018.pdf.
See also Aitchison in this journal.
[Steam calliope plays] As a stationary object,
it always needs to be activated.
— Kara Walker at
Backstory —
See also this journal on the above "catastrophe" weekend.
"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.)
"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" —
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 .
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.
"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
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 —
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.
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.
See as well a search for Gray Space in this journal.
Related material: The Schwartz Omega .
“Looking carefully at Golay’s code
is like staring into the sun.”
The previous post quoted some dialogue from Victor Hugo's
novel about the French Revolution, Ninety-Three.
This suggests a look at the following non-fiction book:
Compare and contrast with the novel The Eight , by Katherine Neville,
about chess and the French Revolution.
Neville's birthday, April 4, plays a major role in her novel. The dies natalis
(in the Roman Catholic sense) of the above Birth of the Chess Queen
author, on the other hand, was reportedly November 20, 2019.
Following a link in this journal from November 20 leads to remarks
that might interest the subjects of an upcoming film, "The Two Popes."
RED
_____________________________________________________________________________
GRAY
______________________
Arya on Rothko
Oh, the red leaf looks to the hard gray stone
To each other, they know what they mean
— Suzanne Vega, “Songs in Red and Gray“
… Continued from other posts so tagged.
"Was ist Raum, wie können wir ihn
erfassen und gestalten?"
Another approach to changing the game —
See also a search here for a phrase related to
last night's Country Music Association awards
speech by Reba McEntire — "Rule the World."
See the title phrase, by Delmore Schwartz, in this journal.
See also . . .
From Daniel Rockmore's CV — BOOKS, FILMS, EXHIBITS . . . . Concinnitas , a fine art print project with Parasol Press, Yale Art Gallery, and Bernard Jacobson Galleries. Openings at AnneMarie Verna Gallery (Zurich, SZ, Dec. 2014), Elizabeth Leach Gallery (Portland, OR, Jan. 2015), Greg Kucera Gallery (Seattle, WA, Jan. 2015), Yale Art Gallery (New Haven, CT, Jan. 2015). . . . . |
. . . and Concinnitas in this journal … as well as — related to a formula
from the Concinnitas project — "Thirteen??" by David Mumford.
" The subject is justified by its usefulness
rather than as a 'rite of passage.' ”.
— The late Martin Muldoon reviewing a book,
From Vector Spaces to Function Spaces:
Introduction to Functional Analysis with Applications ,
by Yutaka Yamamoto (SIAM, 2012)
Such an introduction is properly a rite of pure mathematics —
the passage in the title from vector spaces to function spaces.
That passage is one of mathematical beauty.
Usefulness is Hiroshima.
Muldoon reportedly died on August 1, 2019.
This journal on that date had a post titled
Different Meanings: For Whom the Bell .
The "Bell" in that post was the author of a New York Times book review.
I prefer a Stephen King bell —
See as well this journal on the above FlixLatino date: Dec. 3, 2015.
On writer Kate Braverman, who reportedly died on Sunday, October 13:
" She wears floor-length black skirts, swirling black coats,
and black stiletto boots; the San Francisco Chronicle once
described her vibe as 'Morticia Addams gone gypsy.' "
— Katy Waldman in The New Yorker , Feb. 22, 2018
"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, song lyric
For a Braverman photo opportunity, see the dark corner
at lower right in the previous post.
John Horgan in Scientific American magazine on October 8, 2019 —
"In the early 1990s, I came to suspect that the quest
for a unified theory is religious rather than scientific.
Physicists want to show that all things came from
one thing: a force, or essence, or membrane
wriggling in eleven dimensions, or something that
manifests perfect mathematical symmetry. In their
search for this primordial symmetry, however,
physicists have gone off the deep end . . . ."
Other approaches —
See "Story Theory of Truth" in this journal and, from the November 2019
Notices of the American Mathematical Society . . .
More fundamental than the label of mathematician is that of human. And as humans, we’re hardwired to use stories to make sense of our world (story-receivers) and to share that understanding with others (storytellers) [2]. Thus, the framing of any communication answers the key question, what is the story we wish to share? Mathematics papers are not just collections of truths but narratives woven together, each participating in and adding to the great story of mathematics itself. The first endeavor for constructing a good talk is recognizing and choosing just one storyline, tailoring it to the audience at hand. Should the focus be on a result about the underlying structures of group actions? . . . .
[2] Gottschall, J. , The Storytelling Animal , — "Giving Good Talks," by Satyan L. Devadoss |
"Before time began, there was the Cube." — Optimus Prime
This journal on the date of Coe's death —
Related material: Today's noon post and a post from August 7, 2006.
(A sequel to Simplex Sigillum Veri and
Rabbit Hole Meets Memory Hole)
” Wittgenstein does not, however, relegate all that is not inside the bounds
of sense to oblivion. He makes a distinction between saying and showing
which is made to do additional crucial work. ‘What can be shown cannot
be said,’ that is, what cannot be formulated in sayable (sensical)
propositions can only be shown. This applies, for example, to the logical
form of the world, the pictorial form, etc., which show themselves in the
form of (contingent) propositions, in the symbolism, and in logical
propositions. Even the unsayable (metaphysical, ethical, aesthetic)
propositions of philosophy belong in this group — which Wittgenstein
finally describes as ‘things that cannot be put into words. They make
themselves manifest. They are what is mystical’ ” (Tractatus 6.522).
— Stanford Encyclopedia of Philosophy , “Ludwig Wittgenstein”
From Tractatus Logico-Philosophicus by Ludwig Wittgenstein.
(First published in Annalen der Naturphilosophie ,1921. 5.4541 The solutions of the problems of logic must be simple, since they set the standard of simplicity. Men have always had a presentiment that there must be a realm in which the answers to questions are symmetrically combined — a priori — to form a self-contained system. A realm subject to the law: Simplex sigillum veri. |
Somehow, the old Harvard seal, with its motto “Christo et Ecclesiae ,”
was deleted from a bookplate in an archived Harvard copy of Whitehead’s
The Axioms of Projective Geometry (Cambridge U. Press, 1906).
In accordance with Wittgenstein’s remarks above, here is a new
bookplate seal for Whitehead, based on a simplex —
The previous post suggests . . .
Jim Holt reviewing Edward Rothstein's Emblems of Mind: The Inner Life of Music and Mathematics in The New Yorker of June 5, 1995: "The fugues of Bach, the symphonies of Haydn, the sonatas of Mozart: these were explorations of ideal form, unprofaned by extramusical associations. Such 'absolute music,' as it came to be called, had sloughed off its motley cultural trappings. It had got in touch with its essence. Which is why, as Walter Pater famously put it, 'all art constantly aspires towards the condition of music.' The only art that can rival music for sheer etheriality is mathematics. A century or so after the advent of absolute music, mathematics also succeeded in detaching itself from the world. The decisive event was the invention of strange, non-Euclidean geometries, which put paid to the notion that the mathematician was exclusively, or even primarily, concerned with the scientific universe. 'Pure' mathematics came to be seen by those who practiced it as a free invention of the imagination, gloriously indifferent to practical affairs– a quest for beauty as well as truth." [Links added.] |
A line for James McAvoy —
"Pardon me boy, is this the Transylvania Station?"
See as well Worlds Out of Nothing , by Jeremy Gray.
Photo Opportunity , courtesy of Leni Riefenstahl — Click to enlarge.
From Paul Simon's dreaded Cartoon Graveyard —
The Riefenstahl publication above was suggested by . . .
Exploring Schoolgirl Space (July 8) continues.
"Eh Fatty Boom-Boom
Hit me with the Ching-Ching"
— Song lyric
https://languagelog.ldc.upenn.edu/nll/?p=22045 . . . the ancient Chinese made music the pinnacle of wisdom. There was a Classic of Music (Yuè jīng 樂經), but it was lost already by the Han Dynasty (206 BC-220 AD). Yet we know the esteem in which music was held by the ancient Chinese from passages in the classics like the following: The Master heard the Shao in Qi and for three months did not notice the taste of the meat he ate. He said, 'I never dreamt the joys of music could reach such heights.'(D.C. Lau) Analects 7.14 Shao is the music of the mythical emperor, Shun 舜. Qi one of the Warring States. Extensive commentary here. Another instance of the sublimity of music in ancient China is the description of the performance of the Yellow Emperor's "The Pond of Totality" in chapter 14 of the Zhuang Zi (see Victor H. Mair, tr., Wandering on the Way [Bantam, 1994; University of Hawaii Press, 1998], pp. 132-136, available here). Conversely, language studies in traditional China were referred to as "minor learning" (xiǎoxué 小學). November 5, 2015 @ 4:05 pm · Filed by Victor Mair under Language and music, Language and philosophy |
See also Ervin Wilson in Wikipedia, and a Log24 post from
the date of his death — December 8, 2016.
"The Tian'anmen (also Tiananmen or Tienanmen)
([tʰjɛ́n.án.mə̌n]), or the Gate of Heavenly Peace, is
a monumental gate in the centre of Beijing, widely
used as a national symbol of China. First built during
the Ming dynasty in 1420, Tiananmen was the entrance
to the Imperial City . . . ."
A related article on Chinese history, The Critical Moment,
suggests an associated (if only by title) webpage —
See as well The Painted Word .
From Pi Day 2017 —
"Don't want to end up a cartoon in a cartoon graveyard."
“God’s plan for man in this world is Adam and Eve,
not Adam and Steve.”
— The late William E. Dannemeyer, who reportedly
died at 89 on July 9, 2019.
Hollywood offers a second opinion —
— The garden of Eden. The birthplace of Adam and Eve and Steve. — Steve? Who's Steve? — Steve is the original supermodel. The first of the purebloods.
Mythos
Logos
The six square patterns which, applied as above to the faces of a cube,
form "diamond" and "whirl" patterns, appear also in the logo of a coal-
mining company —
Related material —
"János Bolyai was a nineteenth-century mathematician who
set the stage for the field of non-Euclidean geometry."
— Transylvania Now , October 26, 2018
From Coxeter and the Relativity Problem —
Desiring the exhilarations of changes:
The motive for metaphor, shrinking from
The weight of primary noon,
The A B C of being,
The ruddy temper, the hammer
Of red and blue, the hard sound—
Steel against intimation—the sharp flash,
The vital, arrogant, fatal, dominant X.
The previous post suggests a line for James McAvoy —
"Pardon me boy, is this the Transylvania Station?"
See as well "Out of Nothing" in this journal.
An illustration from the previous post may be interpreted
as an attempt to unbokeh an inscape —
The 15 lines above are Euclidean lines based on pairs within a six-set.
For examples of Galois lines so based, see Six-Set Geometry:
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