"This is not the Himmelfarb you're looking for."
— Obi-Wan Kenobi
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.
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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.
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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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Tuesday, December 10, 2019
Eternal Color
For the above title, see posts tagged Eternal Color.
From this evening's online New York Times —
Related imaterial —
A scene from the film of the above book —
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Monday, December 9, 2019
Self or Soul?
|
https://www.laphamsquarterly.org/memory/all
timestamp=1574874536
"In This Is All:
By Jim Holt |
Related material: This journal on the above date — 11/27/2019.
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Plan 9 from Deep Space
A search for "deep space" in this journal yields
the following meditation:
|
Alfred Bester, Tiger! Tiger!:
|
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Carter Lumber
In Memoriam:
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."
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Sunday, December 8, 2019
Geometry of 6 and 8
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.
Update of 11:02 AM ET the same day:
See also Eightfold Geometry, a note from 2010.
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Saturday, December 7, 2019
Canonicity* Illustrated: The Offensive Tet
* “Canonicity” is a reference to the previous post.
See as well Tetrahedron vs. Square and Algebra for Schoolgirls.
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Canonicity
Review:
Note the "Milestones" date of receipt — 25 January 2012.
This journal on the eve of the above "Milestones" date —
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Mathematical Review
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Friday, December 6, 2019
November Seventh Death
See as well some notes from the date of the above death:
Related material: Endgame (November 7, 1986).
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Cezanne’s Greetings
David Corfield on "Aesthetic Theory and Artistic Practice" —
"… 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.
Last revised on July 12, 2010 at 11:02:44."
See as well some philosophical remarks by the late
William J. Richardson, S.J., quoted here on July 12, 2010.
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For Saint Nicholas
In memory of William J. Richardson, S.J., who reportedly
died at 97 on 10 December 2016…
This journal on that date —
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Thursday, December 5, 2019
The Fontana Arches
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Wednesday, December 4, 2019
Spielerei
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Monday, December 2, 2019
Aesthetics at Harvard
"What the piece of art is about is the gray space in the middle."
— David Bowie, as quoted in the above Crimson piece.
Bowie's "gray space" is the space between the art and the beholder.
I prefer the gray space in the following figure —
Context: The Trinity Stone (Log24, June 4, 2018).
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Gray Space
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.”
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D8: The Black Queen’s Square
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."
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Sunday, December 1, 2019
Space Song
From this journal on the above date — April 13, 2014 (Gray Space) —
Review of Seeing Gray , a book by pastor Adam Hamilton
of the United Methodist Church of the Resurrection
in Leawood, Kansas, a suburb of Kansas City—
“Adam Hamilton invites us to soulful gray space
between polarities, glorious gray space that is holy,
mysterious, complex, and true. Let us find within
our spirits the courage and humility to live and learn
in this faithful space, to see gray, to discern a more
excellent way.”
—Review by United Methodist Bishop Hope Morgan Ward
The above flashback was suggested by CBS Sunday Morning today —
See also Romanesque in this journal.
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