From earlier this month —
Related material —
Observatory scene from "Magic in the Moonlight"
"The sixteen nodes… can be parametrized
by the sixteen points in affine four-space
over the tiny field F2 with two elements."
Related material from March 18, 2015 —
— m759 @ 1:00 PM
“ [An] ambitious take on a post-apocalyptic world
where some strive to preserve art, culture and kindness …
Think of Cormac McCarthy seesawing with Joan Didion …
Mandel spins a satisfying web of coincidence and kismet …
Magnetic … a breakout novel. " — Kirkus (starred)
A synchronicity check of the publication date yields …
“Why don’t you come with me, little girl,
on a magic carpet ride?” — Steppenwolf lyrics
The title phrase, paraphrased without quotes in
the previous post, is from Christopher Alexander's book
The Timeless Way of Building (Oxford University Press, 1979).
A quote from the publisher:
"Now, at last, there is a coherent theory
which describes in modern terms
an architecture as ancient as
human society itself."
Three paragraphs from the book (pp. xiii-xiv):
19. Within this process, every individual act
of building is a process in which space gets
differentiated. It is not a process of addition,
in which preformed parts are combined to
create a whole, but a process of unfolding,
like the evolution of an embryo, in which
the whole precedes the parts, and actualy
gives birth to then, by splitting.
20. The process of unfolding goes step by step,
one pattern at a time. Each step brings just one
pattern to life; and the intensity of the result
depends on the intensity of each one of these
21. From a sequence of these individual patterns,
whole buildings with the character of nature
will form themselves within your thoughts,
as easily as sentences.
Compare to, and contrast with, these illustrations of Boolean space:
Detail of the above image —
Note the "unfolding," as Christopher Alexander would have it.
These Boolean spaces of 1, 2, 4, 8, and 16 points
are also Galois spaces. See the diamond theorem —
The Wrench and the Nut
From Schicksalstag 2012 —
with No Name
And what is good, Phaedrus,
and what is not good —
Need we ask anyone
to tell us these things?
Related material from Wikipedia today:
See as well a search in this journal for “Permutation Group” + Wikipedia .
"William Tell’s weapon of choice has become
the symbol of Switzerland, a sign of sovereignty
and a guarantee of Swiss quality. On the eve of
the Second World War, these values seemed
especially important and necessary to the Swiss.
This five-centime green stamp was issued for
the 1939 national exhibition."
Related material in this journal: Basel.
See also Jung + Imago.
In memory of a woman who died on August 5th:
An excerpt from Svetlana Boym’s
For further remarks on art and technology,
see posts tagged Stevens Owl.
From Kulturkampf for Princeton (Jan. 14, 2015) —
|A sequel to Princeton Requiem,
Gesamtkunstwerk , and Serial Box —
Fearful Symmetry, Princeton Style:
* Wiig. See Dancer (June 10, 2013). Happy birthday.
For some backstory, click or touch the dark passage above.
See also Monolith (August 23, 2014).
(Author of the recent book Notes on the Death of Culture )
“I’m going to have to culture the shit out of this.”
— Paraphrase of Matt Damon in “The Martian” trailer
In memory of record producer Ken Barnes,
author of Sinatra and the Great Song Stylists ,
who reportedly died at 82 on August 4, 2015 —
"Incantatory elegiac power"* in the context of
Log24 posts from August 2-4, 2015, that are
now tagged Stevens Owl.
* Phrase by an academic in Antwerp
The phrase “the permutation group Sn” refers to a
particular group of permutations that act on an
n -element set N— namely, all of them. For a given n ,
there are, in general, many permutation groups that
act on N. All but one are smaller than Sn .
In other words, the phrase “the permutation group Sn”
does not imply that “Sn ” is a symbol for a structure
associated with n called “the permutation group.”
It is instead a symbol for “the symmetric group,” the largest
of (in general) many permutation groups that act on N.
This point seems to have escaped John Baez.
For two misuses by Baez of the phrase “permutation group” at the
n-Category Café, see “A Wrinkle in the Mathematical Universe”
and “Re: A Wrinkle…” —
“There is such a thing as a permutation group.”
— Adapted from A Wrinkle in Time , by Madeleine L’Engle
"… Don't you know that when you play at this level
there's no ordinary venue?" — "Chess" lyrics
Venue: Palm Springs International Film Festival —
Update of 6:40 PM Aug. 17, 2015 —
"Books Do Furnish a Room"
Joshua Cohen's New York Times review,
online today, of Mario Vargas Llosa’s new
Notes on the Death of Culture. The review
includes the following illustration by Mark Todd —
See as well the books in "Starting Out in the Evening,"
a post of October 8, 2010.
(Continued from Saturday, Aug. 15, 2015)
From Purim Play for St. Paul's (March 5, 2015) —
"The study of the diverse ways in which
people of different cultures approach problems
provides students with a more comprehensive
understanding of topics introduced in previous courses."
See as well today's NBC news …
by JON SCHUPPE
"A former student at an elite New Hampshire prep school
is going on trial on charges he raped a 15-year-old girl
on campus. But it's not just the young man who's facing judgment.
The rape allegedly occurred at the prestigious St. Paul's School,
whose alumni include Secretary of State John Kerry, former FBI
Director Robert Mueller, Pulitzer Prize-winning cartoonist
Garry Trudeau and several members of Congress. …."
The following book is reviewed in the September 2015
Notices of the American Mathematical Society —
The reviewer is Reinhard Siegmund-Schultze, a professor
at the University of Agder in Kristiansand (Norway).
See also references to the book's author in this journal.
The title of the previous post, "For Quantum Mystics,"
suggests a search in this journal for Quantum + Mystic.
That search in turn suggests, in particular, a review of
a post of October 16, 2007 — a discussion of the
P.T. Barnum-like phrase "deep beauty" used to describe
a topic under discussion at Princeton by physicists.
Sir Laurence Olivier, in "Term of Trial" (1962), dangles
a participle in front of schoolboy Terence Stamp:
"Walking to school today
my arithmetic book
fell into the gutter"
Were Stamp a Galois, the reply might be "Try this one, sir."
But first, a word from our sponsa* …
Sir Laurence Olivier in "Term of Trial" (1962),
a film starring Sarah Miles as a schoolgirl —
* Bride in Latin. See also "bride's chair,"
a phrase from mathematical pedagogy.
(A sequel to Space Station 1976)
For Kathleen Gibbons* —
* Note Gibbons’s work on “Discrete phase space based on finite fields.”
Today is reportedly the anniversary of the death,
in Paris in 1822, of Jean Robert Argand.
Some related material …
"Wessel's fame as a mathematician rests solely
on this paper, which was published in 1799,
giving for the first time a geometrical interpretation
of complex numbers. Today we call this geometric
interpretation the Argand diagram but Wessel's
work came first. It was rediscovered by Argand
in 1806 and again by Gauss in 1831. ….
Of course it is not unreasonable to call the
geometrical interpretation of complex numbers
the Argand diagram since it was Argand's work
which was influential. It was so named before
the world of mathematics learnt of Wessel's prior
publication. In fact Wessel's paper was not
noticed by the mathematical community until 1895…."
"The Stone" column in yesterday's New York Times :
"But where, exactly, is the border between
the private exchange of money or gifts
and the impersonal profit-making of the market?"
Some background on the market —
… But not for lack of trying. Click the image for details of the inset.
This post is a scholium for Joyce Carol Oates, who has
written a very readable essay in the current New York
Review of Books titled
Oates mentions three times, without attributing it to the late poet
Wallace Stevens, the phrase "the motive for metaphor."
The following paragraphs are by Denis Donoghue, from
a piece titled "The Motive for Metaphor" in the Winter 2013
issue of The Hudson Review —
From a review of the 2013 film “The Wolverine” —
“The rituals, culture and hierarchies of Japan
have intrigued and baffled the typical Westerner
for centuries ….”
Not to mention those of China …
Backstory: That phrase in this journal.
“But, before this and first of all, there is
the resistance posed by the work itself,
the hard kernel formed when the intelligibility
of a universal ‘message’ is joined to the
unintelligible secret of a singularity.”
See as well the word “kernel” here.
Compare and contrast:
From a French dictionary —
” I go, and it is done: the bell invites me.
Hear it not, Duncan, for it is a knell
That summons thee to heaven, or to hell. “
See Sunday School (Log24 on June 13, 2010) —
Immanuel Kant, The Critique of Pure Reason ,
translated by Norman Kemp Smith,
London, Macmillan, 1929, p. 92 —
"Without sensibility no object
would be given to us,
without reflection no object
would be thought.
Concepts without percepts are empty,
percepts without concepts are blind."
"Without sensibility no object
would be given to us,
without understanding no object
would be thought.
Thoughts without content are empty,
intuitions without concepts are blind."
From the original —
"Ohne Sinnlichkeit würde uns
kein Gegenstand gegeben,
und ohne Verstand
keiner gedacht werden.
Gedanken ohne Inhalt sind leer,
Anschauungen ohne Begriffe sind blind."
Related remarks on mathematics —
In memory of the late Ernest E. Shult, some less classical remarks —
"On the most recent visit, Arthur had given him
a brightly colored cube, with sides you could twist
in all directions, a new toy that had just come onto
— Daniel Kehlmann, F: A Novel (2014),
translated from the German by
Carol Brown Janeway
Nicht Spielerei —
Also on August 3 —
FRANKFURT — "Johanna Quandt, the matriarch of the family
that controls the automaker BMW and one of the wealthiest
people in Germany, died on Monday in Bad Homburg, Germany.
She was 89."
MANHATTAN — "Carol Brown Janeway, a Scottish-born
publishing executive, editor and award-winning translator who
introduced American readers to dozens of international authors,
died on Monday in Manhattan. She was 71."
Related material — Heisenberg on beauty, Munich, 1970
A scene from "Nightmare Alley" (1947) …
… in memory of Coleen Gray, who reportedly died yesterday at 92.
"Everybody put your lights up!"
— Brett Eldredge on TV tonight (tape of CMA Music Festival)
A passage suggested by the previous post —
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