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.
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.
"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:
"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."
“V. is whatever lights you to
the end of the street:
she is also the dark annihilation
waiting at the end of the street.”
(Tony Tanner, page 36,
“V. and V-2,” in Pynchon: A Collection
of Critical Essays.
Ed. Edward Mendelson.
Englewood Cliffs, N. J.:
Prentice-Hall, 1978. 16-55).
She’s a mystery
She’s everything
a woman should be
Woman in black
got a hold on me
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 Ladyin 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.
"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
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."
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.)
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."
"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."
" 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.' "
Comments Off on Happy New Year from Peter J. Cameron
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."
"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.
"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.
" … 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. …' "
Metod Saniga,
Institute for Discrete Mathematics and Geometry,
Vienna University of Technology,
Wiedner Hauptstraße 8–10, A-1040 Vienna, Austria
(metod.saniga@tuwien.ac.at) and
Astronomical Institute, Slovak Academy of Sciences,
SK-05960 Tatransk ́a Lomnica, Slovak Republic
(msaniga@astro.sk)
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 (286,563)-configuration formed by these points and lines is isomorphic to the combinatorial Grassmannian of type G2(8). It is also pointed out that a set of seven points of G2(8) whose labels share a mark corresponds to a Conwell heptad of PG(5, 2). Gradual removal of Conwell heptads from the (286,563)-configuration yields a nested sequence of binomial configurations identical with part of that found to be associated with Cayley-Dickson algebras (arXiv:1405.6888).
Keywords:
Combinatorial Grassmannian −
Binary Klein Quadric − Conwell Heptad
“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.
"Alpert, an editor for Scientific American , laces his high-IQ
doomsday thriller with clearly explicated and hauntingly beautiful
scientific theories…."
"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."
"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
“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.”
See also, from posts now tagged Abyssus, a quote from Simone Weil —
"Adam and Eve sought for divinity in vital energy —
in a tree, a fruit. But it is prepared for us on some
dead wood, geometrically squared, upon which
hangs a corpse."
Just as
the finite space PG(3,2) is the geometry of the 6-set, so is
the finite space PG(5,2)
the geometry of the 8-set.*
Selah.
* Consider, for the 6-set, the 32
(16, modulo complementation)
0-, 2-, 4-, and 6-subsets,
and, for the 8-set, the 128
(64, modulo complementation)
0-, 2-, 4-, 6-, and 8-subsets.
"… British naturalism of the nineteenth century is seen to be
based on a theory of art whose origin lies in eighteenth century
philosophy. Collingwood believes this to be a false theory,
as first made clear artistically by Cezanne. Note also that
Collingwood should feel the need to depart from abstract
argument to include the case study.
Exercise: with minimal changes make the above true for
the philosophy of mathematics. Once done, we see how
we should expect to find a philosophy of mathematics
in each mathematician, even if it only functions implicitly.
See Philosophy as Normative or Descriptive.