The previous post, together with a New York Times report on
an Upper West Side figure's death on Friday, suggests a review . . .
Related material —
Illustrations from a post of Oct. 11, 2010 —
The previous post, together with a New York Times report on
an Upper West Side figure's death on Friday, suggests a review . . .
Related material —
Illustrations from a post of Oct. 11, 2010 —
Recent posts involving the English pronoun IT referred to
classic tales of horror by Madeleine L'Engle and Stephen King.
Those posts suggest some further remarks by Martin Buber:
THE WORLD IS TWOFOLD for man
in accordance with his twofold attitude.
The attitude of man is twofold
in accordance with the two basic words he can speak.
The basic words are not single words but word pairs.
One basic word is the word pair I-You.
The other basic word is the word pair I-It;
but this basic word is not changed when
He or She takes the place of It.
Thus the I of man is also twofold.
For the I of the basic word I-You is different from
that in the basic word I-It.
— Buber, Martin. I and Thou, Trans. Kaufmann
(p. 53). Kindle Edition.
Four German pronouns from the above passage
by Martin Buber lead to six pronoun pairs:
ich-du, ich-es, ich-sie, du-es, du-sie, es-sie.
This is in accordance with some 1974 remarks by
Marie-Louise von Franz —
The following passage by Buber may confuse readers of
L'Engle and King with its use, in translation, of "it" instead of
the original German "sie" ("she," corresponding to "die Welt") —
Here, for comparison, are the original German and the translation.
As for "that you in which the lines of relation, though parallel,
intersect," and "intimations of eternity," see Log24 posts on
the concept "line at infinity" as well as "Lost Horizon."
"It was a dark and stormy night . . ."
* See also other posts using this word.
Say You, Say Me
Lionel Richie
. . . .
"I had a dream,
I had an awesome dream
People in the park
playing games in the dark
And what they played
was a masquerade
And from behind walls of doubt
a voice was crying out"
. . . .
"Something else was behind this . . .
because it makes no sense.”
— The author reviewed in today's previous post,
as quoted yesterday in The Boston Globe
Say you, say me, say IT . . .
A comment on Sean Kelly's Christmas Morning column on "aliveness"
in the New York Times philosophy series The Stone —
Background: See Wrinkle in this journal and a post,
Field of Manifestation, from the above 2015 date.
See as well the Goodreads page below.
The six books reviewed by this user were written or
co-written by the author in the review shown above.
Each review gave the highest rating, five stars.
The above prose suggests a musical alternative to the Dec. 21
Camazotz song in the posts tagged Quantum Tesseract Theorem . . .
Harrison Ford in "Blade Runner 2049" —
Click the above quote for a scholium.
See also the previous post and . . .
"There is always an awareness in her fiction
of the subjectivity of perception, and
the kaleidoscopic permutations
that memory can work on reality."
This is from a New York Times article subtitled
"Alice Munro, Nobel Winner, Mines the Inner Lives
of Girls and Women" …
The New York Times article was linked to by Marjorie Senechal
in a Huffington Post article of All Saints' Day 2013.
Further material on kaleidoscopic permutations —
See the Log24 post Symmetry of May 3, 2016.
For further material on mining, see Diamond-Mine:
"SEE HEAR READ" — Walt Disney Productions
See the 27-part structure of
the 3x3x3 Galois cube
as well as Autism Sunday 2015.
Two Students of Structure
A comment on Sean Kelly's Christmas Morning column on "aliveness"
in the New York Times philosophy series The Stone —
Diana Senechal's 1999 doctoral thesis at Yale was titled
"Diabolical Structures in the Poetics of Nikolai Gogol."
Her mother, Marjorie Senechal, has written extensively on symmetry
and served as editor-in-chief of The Mathematical Intelligencer .
From a 2013 memoir by Marjorie Senechal —
"While I was in Holland my enterprising student assistant at Smith had found, in Soviet Physics – Crystallography, an article by N. N. Sheftal' on tetrahedral penetration twins. She gave it to me on my return. It was just what I was looking for. The twins Sheftal' described had evidently begun as (111) contact twins, with the two crystallites rotated 60o with respect to one another. As they grew, he suggested, each crystal overgrew the edges of the other and proceeded to spread across the adjacent facet. When all was said and done, they looked like they'd grown through each other, but the reality was over-and-around. Brilliant! I thought. Could I apply this to cubes? No, evidently not. Cube facets are all (100) planes. But . . . these crystals might not have been cubes in their earliest stages, when twinning occurred! I wrote a paper on "The mechanism of certain growth twins of the penetration type" and sent it to Martin Buerger, editor of Neues Jarbuch für Mineralogie. This was before the Wrinch symposium; I had never met him. Buerger rejected it by return mail, mostly on the grounds that I hadn't quoted any of Buerger's many papers on twinning. And so I learned about turf wars in twin domains. In fact I hadn't read his papers but I quickly did. I added a reference to one of them, the paper was published, and we became friends.[5]
After reading Professor Sheftal's paper I wrote to him in Moscow; a warm and encouraging correspondence ensued, and we wrote a paper together long distance.[6] Then I heard about the scientific exchanges between the Academies of Science of the USSR and USA. I applied to spend a year at the Shubnikov Institute for Crystallography, where Sheftal' worked. I would, I proposed, study crystal growth with him, and color symmetry with Koptsik. To my delight, I was accepted for an 11-month stay. Of course the children, now 11 and 14, would come too and attend Russian schools and learn Russian; they'd managed in Holland, hadn't they? Diana, my older daughter, was as delighted as I was. We had gone to Holland on a Russian boat, and she had fallen in love with the language. (Today she holds a Ph.D. in Slavic Languages and Literature from Yale.) . . . . |
Philosophy professors and those whose only interest in mathematics
is as a path to the occult may consult the Log24 posts tagged Tsimtsum.
See also Log24 posts now tagged Apperception.
A Midnight Special for Charles Wallace
Old Kid on Peter Block —
See the remarks today of Harvard philosophy professor Sean D. Kelly
in The New York Times :
Alexander's "15 properties that create the wholeness and aliveness" —
This is the sort of bullshit that seems to go over well at Harvard.
See Christopher Alexander in this journal.
The movie marquee below
("Batman" and "Lethal Weapon 2")
indicates that the recent film "IT"
is set in the summer of 1989.
The marquee suggests a review. Also . . . .
"… the thing that has shown up every twenty-seven years
or so . . . . It always comes back, you see. It."
— King, Stephen. IT (p. 151). Scribner. Kindle Edition.
Note that the flashback summer in King's book,
1958… plus 27 is 1985… plus 27 is 2012.
A figure related to the general connecting theorem of Koen Thas —
See also posts tagged Dirac and Geometry in this journal.
Those who prefer narrative to mathematics may, if they so fancy, call
the above Thas connecting theorem a "quantum tesseract theorem ."
TIME magazine, issue of December 25th, 2017 —
" In 2003, Hand worked with Disney to produce a made-for-TV movie.
Thanks to budget constraints, among other issues, the adaptation
turned out bland and uninspiring. It disappointed audiences,
L’Engle and Hand. 'This is not the dream,' Hand recalls telling herself.
'I’m sure there were people at Disney that wished I would go away.' "
Not the dream? It was, however, the nightmare, presenting very well
the encounter in Camazotz of Charles Wallace with the Tempter.
From a trailer for the latest version —
Detail:
From the 1962 book —
"There's something phoney in the whole setup, Meg thought.
There is definitely something rotten in the state of Camazotz."
Song adapted from a 1960 musical —
"In short, there's simply not
A more congenial spot
For happy-ever-aftering
Than here in Camazotz!"
William Grimes in The New York Times this evening —
"Clifford Irving, who perpetrated one of the biggest literary hoaxes
of the 20th century in the early 1970s when he concocted a
supposedly authorized autobiography of the billionaire Howard Hughes
based on meetings and interviews that never took place, died on Tuesday
at a hospice facility near his home in Sarasota, Fla. He was 87."
A figure reproduced here on Tuesday —
A related figure —
See too the 1973 Orson Welles film "F for Fake."
Some background on the second figure above —
posts tagged April 8-11, 2016.
Some background on the first figure above —
today's previous post, January 2018 AMS Notices.
Update of 9:29 PM ET Dec. 20, 2017 —
See in particular, in the above Notices , the article
"Algebraic Structures on Polytopes," by Federico Ardila,
within the 2018 Joint Mathematics Meeting Lecture Sampler.
Related reading:
arXiv:1711.09102v1 [hep-th] 24 Nov 2017,
"Scattering Forms and the Positive Geometry of
Kinematics, Color and the Worldsheet," by
Nima Arkani-Hamed, Yuntao Bai, Song He, Gongwang Yan
(Submitted to the arXiv on 24 Nov. 2017).
The word "mythologem" on page 55 of The Burning Fountain
by Philip Wheelwright, revised edition of 1968 (p. 91 in the 1954
edition), suggests a Web search for that word. It was notably often
used in the 1998 English translation of a book by Eleazar Meletinsky
first published in Russian in 1976 —
Meletinsky reportedly died on December 17, 2005.
In his memory, Log24 posts from that date are now tagged Mythologem Day.
"And we may see the meadow in December,
icy white and crystalline" — Johnny Mercer
From the American Mathematical Society homepage today —
From concinnitasproject.org —
"Concinnitas is the title of a portfolio of fine art prints. . . .
The portfolio draws its name from a word famously used
by the Renaissance scholar, artist, architect, and philosopher
Leon Battista Alberti (1404-1472) to connote the balance of
number, outline, and position (in essence, number, geometry,
and topology) that he believed characterize a beautiful work of art."
The favicon of the Concinnitas Project —
The structure of the Concinnitas favicon —
This structure is from page 15 of
"Diamond Theory," a 1976 preprint —
The page preceding that of yesterday's post Wheelwright and the Wheel —
See also a Log24 search for
"Four Quartets" + "Four Elements".
A graphic approach to this concept:
"The Bounded Space" —
"The Fire, Air, Earth, and Water" —
From the 1968 "new and revised edition" —
See also the previous post.
For the phrase "burning fountain," see Shelley's "Adonais,"
as well as Logos (a post of Dec. 4) and The Crimson Abyss.
The remarks on universals in the previous post linked to the following
note by James Hillman:
James Hillman, Re-Visioning Psychology ,
Harper Collins, 1977, p. 155 —
"Myths also make concrete particulars into universals,
so that each image, name, thing in my life when
experienced mythically takes on universal sense,
and all abstract universals, the grand ideas of
human fate, are presented as concrete actions."
[See note 48.]
Note 48: Cf. P. Wheelwright's discussion of concrete universality
in The Burning Fountain (Bloomington, Ind.: Indiana University
Press, 1968), pp. 52-54.
For Wheelwright's discussion, see the following excerpts from his book:
The previous post suggests a review of
the philosophical concept of universals —
A part of the above-mentioned 2011 "Saturday evening's post" that is
relevant to the illustration at the end of today's previous post —
Note the whatness of Singer's dagger definitions —
Two readings by James Parker —
From next year’s first Atlantic issue
From last month’s Atlantic issue
“Let’s return to that hillside where Clayton exited his Mercedes.
In the gray light, he climbs the pasture. Halfway up the slope,
three horses are standing: sculpturally still, casually composed
in a perfect triptych of horsitude.”
— James Parker in The Atlantic , Nov. 2017 issue
Logos-related material
The previous post, "Mind," suggests a search for "n+1" in this journal.
From that search —
The above psychoanalytic remarks suggest . . .
See also "Transformers" (2007).
"Before time began, there was the Cube."
— Optimus Prime
The above reading was suggested by a post of
New Year's Day, Jan. 1, 2013 — The Simplest Situation.
See also Ahem (Sunday morning, Dec. 10, 2017).
An obituary from this afternoon suggests a review of
a Log24 post from last year —
See also today's earlier post Once in a Lullaby and yesterday's
London Daily Mail — "Kristen Stewart Cuts a Cool Figure" —
"The philosopher Jerry Fodor was important for the same reason
you’ve probably never heard of him: he was unimpressed,
to put it politely, by the intellectual trends of the day."
— Stephen Metcalf in The New Yorker , Dec. 12, 2017
See also "The French Invasion," a Dec. 11 Quarterly Conversation
essay about Derrida in Baltimore in 1966, and the Dec. 10 posts
in this journal tagged Interlacing Derrida. (The deplorable Derrida
trend is apparently still alive in Buffalo.)
According to Metcalf, Fodor's "occasional review-essays in the L.R.B.
were masterpieces of a plainspoken and withering sarcasm. To Steven
Pinker’s suggestion that we read fiction because ' it supplies us with a
mental catalogue of the fatal conundrums we might face someday,' for
instance, Fodor replied, ' What if it turns out that, having just used the ring
that I got by kidnapping a dwarf to pay off the giants who built me my
new castle, I should discover that it is the very ring that I need in order to
continue to be immortal and rule the world? ' "
In the Fodor-Pinker dispute, my sympathies are with Pinker.
Related material — Google Sutra (the previous Log24 post) and earlier posts
found in a Log24 search for Ring + Bear + Jung —
Suggested by a Diamond Sutra webpage, by a recent Log24 post . . .
Logos for Philosophers
(Suggested by Modal Logic) —
. . . and by the Google Play Store logo —
For further details, see . . .
A Web search for "diamond pivot bright" yields . . .
An "irrational image" from Log24 (Nov. 26, 2002) —
"The beautiful in mathematics resides in contradiction.
Incommensurability, logoi alogoi , was the first splendor
in mathematics."
— Simone Weil, Oeuvres Choisies ,
éd. Quarto, Gallimard, 1999, p. 100
For some remarks related to the title, see Black + Algebra + Metaphor.
There is apparently no relationship between Scholze's metaphor
and my own use of the word "diamond" in finite geometry.
The following IEEE paper is behind a paywall,
but the first page is now available for free
at deepdyve.com —
For further details on the diamond theorem, see
finitegeometry.org/sc/ or the archived version at . . .
See also Symplectic in this journal.
From Gotay and Isenberg, “The Symplectization of Science,”
Gazette des Mathématiciens 54, 59-79 (1992):
“… what is the origin of the unusual name ‘symplectic’? ….
Its mathematical usage is due to Hermann Weyl who,
in an effort to avoid a certain semantic confusion, renamed
the then obscure ‘line complex group’ the ‘symplectic group.’
… the adjective ‘symplectic’ means ‘plaited together’ or ‘woven.’
This is wonderfully apt….”
The above symplectic figure appears in remarks on
the diamond-theorem correlation in the webpage
Rosenhain and Göpel Tetrads in PG(3,2). See also
related remarks on the notion of linear (or line ) complex
in the finite projective space PG(3,2) —
See also The Derrida Reader: Writing Performances, edited by
Julian Wolfreys (U. of Nebraska Press, 1998), pages 112-113,
discussed here in the previous two posts, and this journal on
1/12-1/13. Related material: Polytropos .
The above title should be sung to the following tune —
"Right through hell
there is a path…."
— Malcolm Lowry,
Under the Volcano
(Click to enlarge. Note the infinity favicon.)
" Indeed, one might say that it is possible (ahem ), in another world,
for this article to have been entitled, 'The modal logic of various
set-theoretic multiverse conceptions.' "
The previous post discussed an alleged description by
William H. Gass of his fellow author Malcolm Lowry as
"a black magician."
In defense of Gass, it seems that quote is inaccurate:
Part I: Black Magician
"Schools of criticism create their own canons, elevating certain texts,
discarding others. Yet some works – Malcolm Lowry’s Under the Volcano
is one of them – lend themselves readily to all critical approaches."
— Joan Givner, review of
A Darkness That Murmured: Essays on Malcolm Lowry and the Twentieth Century
by Frederick Asals and Paul Tiessen, eds.
The Asals-Tiessen book (U. of Toronto Press, 2000) was cited today
by Margaret Soltan (in the link below) as the source of this quotation —
"When one thinks of the general sort of snacky
under-earnest writers whose works like wind-chimes
rattle in our heads now, it is easier to forgive Lowry
his pretentious seriousness, his old-fashioned ambitions,
his Proustian plans, [his efforts] to replace the reader’s
consciousness wholly with a black magician’s."
A possible source, Perle Epstein, for the view of Lowry as black magician —
Part II: Mythos and Logos
Part I above suggests a review of Adam Gopnik as black magician
(a figure from Mythos ) —
Tuesday, November 7, 2017
Polarities and Correlation
|
— and of an opposing figure from Logos ,
Paul B. Yale, in the references below:
"Denn die Welt braucht ewig die Wahrheit,
also braucht sie ewig Heraklit:
obschon er ihrer nicht bedarf.
Was geht ihn sein Ruhm an?
Der Ruhm bei »immer fortfließenden Sterblichen!«,
wie er höhnisch ausruft.
Sein Ruhm geht die Menschen etwas an, nicht ihn,
die Unsterblichkeit der Menschheit braucht ihn,
nicht er die Unsterblichkeit des Menschen Heraklit.
Das, was er schaute, die Lehre vom Gesetz im Werden
und vom Spiel in der Notwendigkeit , muß von jetzt
ab ewig geschaut werden: er hat von diesem größten
Schauspiel den Vorhang aufgezogen."
Logos for Philosophers
(Suggested by Modal Logic) —
"William H. Gass, a proudly postmodern author
who valued form and language
more than literary conventions
like plot and character
and who had a broad influence
on other experimental writers
of the 1960s, ’70s and beyond,
died on Wednesday in St. Louis. He was 93."
— Dee Wedemeyer, The New York Times ,
12:40 AM ET Thursday, December 7, 2017
"Mr. Gass was widely credited with coining the term
'metafiction' to describe writing in which the author
is part of the story. He himself was one of the form’s
foremost practitioners." — ibid.
See as well yesterday's Log24 post and
Discovery of Heaven in this journal.
"It is not easy to set aside firmly seated preconceptions
in order to look at old material with fresh eyes —
hardest of all to face facts which, if true, are
so obvious and simple that they should patently have been
recognized long before."
— Vincent Scully, preface to the 1969 edition of
The Earth, the Temple, and the Gods: Greek Sacred Architecture
See also, in this journal, Slave Boy.
Update of 10:30 PM ET —
This post was suggested by the following eulogy:
"All work and no play . . . ." — The Shining
New York Times online headline this afternoon —
King Michael of Romania Is Dead at 96
See as well . . .
Log24 posts on Bucharest.
Wikipedia on "Dancing in the Moonlight" —
"The song was played as a wake-up call for Daniel M. Tani,
an astronaut on board the STS-120: Discovery mission
headed for the International Space Station,
on the early morning of October 24, 2007."
See also Log24 on October 24, 2007.
See also posts tagged May 19 Gestalt.
"We are very much within the mind of an unreliable narrator . . . ."
— Jim Holt, "Obsessive-Genius Disorder,"
NYT Sunday Book Review , Sept. 3, 2006
In memory of Yale art historian Vincent Scully, who reportedly
died at 97 last night at his home in Lynchburg, Va., some remarks
from the firm of architect John Outram and from Scully —
Update from the morning of December 2 —
The above 3×3 figure is of course not unrelated to
the 4×4 figure in The Matrix for Quantum Mystics:
.
See as well Tsimtsum in this journal.
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