Or: The Doily Man Meets Roger Vadim
Tuesday, November 10, 2020
The Lost Girls of 1983
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Thursday, July 18, 2019
Enveloping-Algebra Note, 1983
Click for the pages below at Internet Archive.
Enveloping algebras also appeared later in the work on "crystal bases"
of Masaki Kashiwara. It seems highly unlikely that his work on enveloping
algebras, or indeed any part of his work on crystal bases, has any relation
to my own earlier notes.
A 1995 page by Kashiwara —
Kashiwara was honored with a Kyoto prize in 2018:
Kashiwara's 2018 Kyoto Prize diploma —
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Wednesday, July 12, 2023
Form and Subject
"Mr. Kundera told The Paris Review in 1983:
'My lifetime ambition has been to unite
the utmost seriousness of question with
the utmost lightness of form. The combination of
a frivolous form and a serious subject
immediately unmasks the truth about our dramas
(those that occur in our beds as well as those that
we play out on the great stage of History) and their
awful insignificance. We experience the unbearable
lightness of being.' "
The above is from The New York Times this morning.
The Times says that Kundera died yesterday in Paris at 94.
For another meeting of form and subject, see The Grid.
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Saturday, March 18, 2023
Blocking Groups*
Kitty in Uncanny X-Men #168 (April 1983)
"Try Bing Chat, Kitty."
* A Harvard phrase for a process analogous to that of the Hogwarts Sorting Hat.
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Friday, November 18, 2022
Ay Que Bonito
See the above title and Barbara Johnson in this journal.
Johnson taught at Harvard for 25 years, starting in 1983.
See also Harvard in the previous post, The Crimson Riddle.
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Thursday, October 6, 2022
From Mysticism to Mathematics
[Klein, 1983] S. Klein.
"Analogy and Mysticism and the Structure of Culture
(and Comments & Reply)"
Current Anthropology , 24 (2):151–180, 1983.
The citation above is from a 2017 paper —
"Analogy-preserving Functions:
A Way to Extend Boolean Samples,"
by M. Couceiro, N. Hug, H. Prade, G, Richard.
26th International Joint Conference on Artificial Intelligence
(IJCAI 2017), Aug. 2017, Melbourne, Australia. pp.1-7, ff.
That 2017 paper discusses Boolean functions .
Some more-recent remarks on these functions
as pure mathematics —
"On the Number of Affine Equivalence Classes
of Boolean Functions," by Xiang-dong Hou,
arXiv:2007.12308v2 [math.CO]. Rev. Aug. 18, 2021.
See also other posts now tagged Analogy and Mysticism.
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Friday, September 23, 2022
Data + Meta = WTF
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Monday, March 7, 2022
Pictures for an Exhibition
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Thursday, December 16, 2021
Veritas
"You get right down to the naked truth
With those dirty, dirty looks" — Juice Newton (1983)
Search result for "Sandringham juice octads" —
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Friday, September 3, 2021
Hallmark: Snopes vs. Greenfield
https://www.snopes.com/fact-check/
brooke-shields-nude-child-photo/
" The lawsuit was dismissed in a 4-3 decision
by the New York State Supreme Court.
Justice Edward Greenfield stated that
the pictures were 'not erotic or pornographic'
except to 'possibly perverse minds….' "
"… flights of rhetoric were a hallmark of the thousands
of opinions Justice Greenfield crafted during his three
decades on the trial bench. He died on Aug. 26 at his home
in Manhattan, his son Mark said. He was 98."
— Katharine Q. Seelye of The New York Times online today
Also on Aug. 26 —
Introibo for Buck Mulligan
in posts tagged Bar Exam.
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Wednesday, September 1, 2021
Obiter Dicta
The title is a phrase from Tom Wolfe's The Painted Word —
"the seemingly innocuous obiter dicta ,
the words in passing, that give the game away"
The President on July 23, per USA TODAY —
"And there’s a need, whether it is true or not,
there is a need to project a different picture."
Related material —
EVERY LAST EASTER EGG AND REFERENCE
IN EPISODE 6 OF HBO'S WATCHMEN .
Wikipedia — "For the 72nd Primetime Emmy Awards,
Damon Lindelof and Cord Jefferson won the award
for Outstanding Writing for a Limited Series, Movie,
or Dramatic Special for this episode."
See also . . . The Bard of Teaneck —
"What if Shakespeare had been born in Teaneck, N.J., in 1973?
He would call himself Spear Daddy. His rap would exhibit a profound,
nuanced understanding of the frailty of the human condition, exploring
the personality in all its bewildering complexity: pretension, pride,
vulnerability, emotional treachery, as well as the enduring triumph of love.
Spear Daddy would disappear from the charts in about six weeks."
— Gene Weingarten in the Washington Post,
Sunday, Oct. 2, 2005
Weingarten's remarks were quoted here on that Sunday, along with
the following illustration —
Spear Daddy!
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Saturday, August 14, 2021
North of Big Snake
The title refers to a Log24 post of Feb. 8, 2021.
Detail from an image in that post:
By groping toward the light we are made to realize
how deep the darkness is around us." — Arthur Koestler
Related Hollywood remark:
"You've blown communication
…as we've known it… right out of
the water. You know that, don't you?"
— Cliff Robertson in Brainstorm (1983)
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Sunday, July 11, 2021
Night at the Museum: After Yang
See Wang Wei: Journey to the Source of the Peach Blossom River .
Related Hollywood remark:
"You've blown communication
…as we've known it… right out of
the water. You know that, don't you?"
— Cliff Robertson in Brainstorm (1983)
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Sunday, March 14, 2021
Retro: Reading The Human Stain
Related reading —
Some art from a different rural location in October 1983 —
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Saturday, March 13, 2021
Eternal Spark
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 —
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Friday, March 12, 2021
Grid
See Trinity Cube in this journal and . . .
McDonnell’s illustration is from 9 June 1983.
See as well a less official note from later that June.
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Thursday, January 21, 2021
Cock Tale for Rikki
With apologies to those readers unable to follow knight moves .
The Queen's Gambit , by Walter Tevis,
published Feb. 1983 —
“Would you care for a cocktail?” he asked pleasantly.
She looked around her at the quiet restaurant,
at the people eating lunch, at the table with desserts
near the velvet rope at the entrance to the dining room.
“A Gibson,” she said. “On the rocks.”
"A silver tide of phosphenes boiled across my field of vision
as the matrix began to unfold in my head, a 3-D chessboard,
infinite and perfectly transparent."
"'Rikki Don't Lose That Number' is a single
released in 1974 by rock/jazz rock group Steely Dan
and the opening track of their third album Pretzel Logic .
It was the most successful single of the group's career,
peaking at number 4 on the Billboard Hot 100 in
the summer of 1974." — Wikipedia
Brian Harley, Mate in Two Moves , 1931—
“The key is the cocktail that begins the proceedings.”
See as well my post "Introduction to Cyberspace" (May 26, 2020).
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Sunday, January 17, 2021
Point of View
Susan Sarandon in “White Palace” (1990, based on a 1987 novel).
Sarandon also starred in “The Hunger” (1983), along with David Bowie
and Catherine Deneuve (above).
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The Janine Corner
— “The squares have names?”
— “And sometimes the corners too.”
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Thursday, January 14, 2021
Dial 6 for MNO
Image from a post of January 2, 2009
A sentence by Walter Tevis in his 1983 novel
The Queen's Gambit —
"She picked up the phone and dialed six."
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Wednesday, January 13, 2021
Hint
From The Queen’s Gambit , by Walter Tevis (1983) —
“She stopped and turned to Beth. ‘There is no hint of a
Protestant ethic in Mexico. They are all Latin Catholics,
and they all live in the here and now.’ Mrs. Wheatley
had been reading Alan Watts. ‘I think I’ll have just one
margarita before I go out. Would you call for one, honey?’
Back in Lexington, Mrs. Wheatley’s voice would sometimes
have a distance to it, as though she were speaking from
some lonely reach of an interior childhood. Here in Mexico City
the voice was distant but the tone was theatrically gay, as though
Alma Wheatley were savoring an incommunicable private mirth.
It made Beth uneasy. For a moment she wanted to say something
about the expensiveness of room service, even measured in pesos,
but she didn’t. She picked up the phone and dialed six. The man
answered in English. She told him to send a margarita and a large
Coke to 713.”
Mirror, Mirror
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Monday, January 11, 2021
Sein Feld Continues.
Dialogue from the recent Netflix series “Queen’s Gambit” —
Miss Jean Blake, interviewer from LIFE — “The board?”
Beth Harmon — “Yes. It’s an entire world
of just 64 squares. I feel safe in it. I can control it.
I can dominate it. And it’s predictable, so if I get hurt,
I only have myself to blame.”
This passage, and other psychological claptrap in the Netflix version,
does not occur in the original 1983 novel by Walter Tevis.
Related material — Sein Feld in this journal.
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Friday, December 18, 2020
De Corpore*
* De Corpore had a negative effect on Hobbes’s scholarly reputation.
The inclusion of a claimed solution for squaring the circle, an apparent
afterthought rather than a systematic development, led to an extended
pamphlet war in the Hobbes-Wallis controversy. — Wikipedia
Another afterthought, in the style of Kinbote —
A search in this journal for Peter M. Neumann
yields a link to Transformations over a bridge (1983 Aug. 16).
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Wednesday, November 18, 2020
La Chanson Fatale
Harold Edwards, a founding co-editor of The Mathematical Intelligencer ,
reportedly died at 84 on Tuesday, Nov. 10, 2020.
Images from this journal on that date —
"Surprise Party" revisited —
A Philippine meditation by Alex Garland quoted here on May 6, 2010 —
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Saturday, October 24, 2020
The Galois Tesseract
Stanley E. Payne and J. A. Thas in 1983* (previous post) —
“… a 4×4 grid together with
the affine lines on it is AG(2,4).”
Payne and Thas of course use their own definition
of affine lines on a grid.
Actually, a 4×4 grid together with the affine lines on it
is, viewed in a different way, not AG(2,4) but rather AG(4,2).
For AG(4,2) in the proper context, see
Affine Groups on Small Binary Spaces and
The Galois Tesseract.
* And 26 years later, in 2009.
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Grids
Wikipedia on what has been called “the doily” —
“The smallest non-trivial generalized quadrangle
is GQ(2,2), whose representation* has been dubbed
‘the doily’ by Stan Payne in 1973.”
A later publication relates the doily to grids.
From Finite Generalized Quadrangles , by Stanley E. Payne
and J. A. Thas, December 1983, at researchgate.net, pp. 81-82—
“Then the lines … define a 3×3 grid G (i.e. a grid
consisting of 9 points and 6 lines).”
. . . .
“So we have shown that the grid G can completed [sic ]
in a unique way to a grid with 8 lines and 16 points.”
. . . .
“A 4×4 grid defines a linear subspace
of the 2−(64,4,1) design, i.e. a 4×4 grid
together with the affine lines on it is AG(2,4).”
A more graphic approach from this journal —
Click the image for further details.
* This wording implies that GQ(2,2) has a unique
visual representation. It does not. See inscape .
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Friday, September 18, 2020
Adoration of the Cube
“WHEN I IMAGINE THE CUBE, I see a structure in motion.
I see the framework of its edges, its corners, and its flexible joints,
and the continuous transformations in front of me (before you start
to worry, I assure you that I can freeze it anytime I like). I don’t see
a static object but a system of dynamic relations. In fact, this is only
half of that system. The other half is the person who handles it.
Just like everything else in our world, a system is defined by
its place within a network of relations—to humans, first of all.”
— Rubik, Erno. Cubed (p. 165). Flatiron Books. Kindle Ed., 2020.
Compare and contrast — Adoration of the Blessed Sacrament.
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Sunday, July 26, 2020
Saturday, July 4, 2020
Plan 9 from Oz
Image from a film review of “Eureka” (a 1983 film by Nicolas Roeg).
Note the date of the review — January 09, 2015.
Also on January 09, 2015 —
Related cinematic philosophy —
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Friday, July 3, 2020
The Hot Rock
See also a different interpretation, by David Lynch,
of the “twin peaks” concept —
Midrash for Mayakofsky —
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Thursday, July 2, 2020
The Speed of Thought
From the above search result — “0.69 seconds.”
See as well Theresa Russell and Rutger Hauer in Eureka . . .
See also a different interpretation, by David Lynch,
of the “twin peaks” concept —
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Wednesday, May 15, 2019
Hunger Games
Two items from November 24, 2015 —
|
Tuesday, November 24, 2015 Filed under: General — m759 @ 11:11 PM
In memory of economic historian Douglass C. North, “We needed new tools, but they simply did not exist.” Related reading and viewing — Beattyville, Kentucky and Log24 post About the People. |
Related material —
David Bowie and Catherine Deneuve star in "The Hunger" (1983).
Vampira and Loki at Cannes
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Sunday, May 6, 2018
The Osterman Omega
From "The Osterman Weekend" (1983) —
Counting symmetries of the R. T. Curtis Omega:
An Illustration from Shakespeare's birthday —
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Monday, April 2, 2018
A Puzzle for the Clueless
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Saturday, March 3, 2018
Thanking the Academy
Blackboard Jungle , 1955 —
“Every transition from major to minor in a sonata, every transformation
of a myth or a religious cult, every classical or artistic formulation was,
I realized in that flashing moment, if seen with a truly meditative mind,
nothing but a direct route into the interior of the cosmic mystery….”
— Hermann Hesse, The Glass Bead Game
“How strange the change from major to minor….”
— Cole Porter, “Every Time We Say Goodbye“
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Wednesday, October 25, 2017
Wednesday, June 21, 2017
Concept and Realization
Remark on conceptual art quoted in the previous post —
"…he’s giving the concept but not the realization."
A concept — See a note from this date in 1983:
A realization —
Not the best possible realization, but enough for proof of concept .
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Thursday, May 18, 2017
Marquee Moon continues
Exit stage right, enter stage center, exit stage left —
A search for "Darkness Doubled" in this journal yields a link
to a post on "endgame art" which leads in turn to a post with
the following quotation —
"It is proposed that the two structures of grid and target
are the symbolic vehicles par excellence . . . ."
— Review of Rudolf Arnheim's The Power of the Center:
A Study of Composition in the Visual Arts (U. of Calif. Press, 1982).
Review by David A. Pariser, Studies in Art Education , Vol. 24, No. 3
(1983), pp. 210-213.
"Darkness Doubled" is a phrase from a song titled "Marquee Moon."
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Tuesday, March 21, 2017
Special Topics
A roundup of posts now tagged "Apollo Psi" led to the name
Evan Harris Walker in the post Dirac and Geometry of
Dec. 14, 2015. That post mentions …
"… Evan Harris Walker’s ingenious theory of
the psi force, a theory that assigned psi
both positive and negative values in such a way
that the mere presence of a skeptic in the near
vicinity of a sensitive psychic investigation could
force null results. Neat, Dr. Walker, thought
Peter Slater— neat, and totally without content."
— From the 1983 novel Broken Symmetries
by Paul Preuss
It turns out that Walker died "on the evening of August 17, 2006."
From this journal on that date —
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Monday, February 13, 2017
Soundtracked Meets Sidetracked
I was sidetracked by this peculiar Tweet after a search for
fictions titled "The Weaver's Tale."
A version of the tale that I liked had led to the author's Twitter account
and the above remarks, dated 1 Feb. 2017.
That Tweet date led in turn to Log24 posts now tagged Heinlein Lottery.
8777.
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Tuesday, December 27, 2016
Bright Star
See instances of the title in this journal.
Material related to yesterday evening's post
"Bright and Dark at Christmas" —
The Buddha of Rochester:
See also the Gelman (i.e., Gell-Mann) Prize
in the film "Dark Matter" and the word "Eightfold"
in this journal.
" A fanciful mark is a mark which is invented
for the sole purpose of functioning as a trademark,
e.g., 'Kodak.' "
"… don't take my Kodachrome away." — Paul Simon
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Monday, December 26, 2016
Fanciful (continued)
From "Plato Thanks the Academy," March 19, 2014 —
“Click on fanciful .”
A possible result —
See also "Triple Cross."
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Sunday, December 18, 2016
Manifest O
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Wednesday, June 29, 2016
The Mystery of O
"The domain of O has been explored by philosophers and mystics
under titles like the Absolute, Ultimate Reality or Ultimate Truth,
the Ground of Being, God or the godhead. O is the world of Plato’s
ideal forms, Kant’s things-in-themselves, Bion’s pre-conceptions,
Klein’s inborn phantasies and Jung’s archetypes."
— Barbara Stevens Sullivan on page 38 of her book
The Mystery of Analytical Work: Weavings from Jung and Bion ,
Routledge first edition, 2010
See also Bion in The Search for Charles Wallace, and …
Click on the image for some context.
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Tuesday, May 3, 2016
Symmetry
A note related to the diamond theorem and to the site
Finite Geometry of the Square and Cube —
The last link in the previous post leads to a post of last October whose
final link leads, in turn, to a 2009 post titled Summa Mythologica .
Some may view the above web page as illustrating the
Glasperlenspiel passage quoted here in Summa Mythologica —
“"I suddenly realized that in the language, or at any rate
in the spirit of the Glass Bead Game, everything actually
was all-meaningful, that every symbol and combination of
symbols led not hither and yon, not to single examples,
experiments, and proofs, but into the center, the mystery
and innermost heart of the world, into primal knowledge.
Every transition from major to minor in a sonata, every
transformation of a myth or a religious cult, every classical
or artistic formulation was, I realized in that flashing moment,
if seen with a truly meditative mind, nothing but a direct route
into the interior of the cosmic mystery, where in the alternation
between inhaling and exhaling, between heaven and earth,
between Yin and Yang, holiness is forever being created.”
A less poetic meditation on the above web page* —
"I saw that in the alternation between front and back,
between top and bottom, between left and right,
symmetry is forever being created."
Update of Sept. 5, 2016 — See also a related remark
by Lévi-Strauss in 1955: "…three different readings
become possible: left to right, top to bottom, front
to back."
* For the underlying mathematics, see a June 21, 1983, research note.
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Saturday, March 12, 2016
Hunger Game
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Sunday, January 31, 2016
Forgotten Lore
Continued from Sunday, January 24, 2016
Wikipedia on Io in Greek mythology
(a precursor to Marvel Comics) —
"Walter Burkert [18] notes that the story of Io was told
in the ancient epic tradition at least four times….
18. Burkert, Homo Necans (1974) 1983:
164 note 14, giving bibliography."
An "io" story I prefer — m24.io.
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Monday, December 14, 2015
The Forking
From the previous post:
"Neat, Dr. Walker, thought Peter Slater—
neat, and totally without content."
— Paul Preuss's 1983 novel Broken Symmetries
A background check yields …
"Dr. Evan Harris Walker died on the evening of
August 17, 2006…."
A synchronicity check of that date in this journal yields a diagram
that, taken by itself, is "neat, and totally without content." —
The diagram may be viewed as a tribute
to the late Yogi Berra, to the literary
"Garden of Forking Paths," or, more
seriously, to the modular group Γ.
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Dirac and Geometry
See a post by Peter Woit from Sept. 24, 2005 — Dirac's Hidden Geometry.
The connection, if any, with recent Log24 posts on Dirac and Geometry
is not immediately apparent. Some related remarks from a novel —
|
From Broken Symmetries by Paul Preuss "He pondered the source of her fascination with the occult, which sooner or later seemed to entangle a lot of thoughtful people who were not already mired in establishmentarian science or religion. It was the religious impulse, at base. Even reason itself could function as a religion, he supposed— but only for those of severely limited imagination. He’d toyed with 'psi' himself, written a couple of papers now much quoted by crackpots, to his chagrin. The reason he and so many other theoretical physicists were suckers for the stuff was easy to understand— for two-thirds of a century an enigma had rested at the heart of theoretical physics, a contradiction, a hard kernel of paradox. Quantum theory was inextricable from the uncertainty relations. The classical fox knows many things, but the quantum-mechanical hedgehog knows only one big thing— at a time. 'Complementarity,' Bohr had called it, a rubbery notion the great professor had stretched to include numerous pairs of opposites. Peter Slater was willing to call it absurdity, and unlike some of his older colleagues who, following in Einstein’s footsteps, demanded causal explanations for everything (at least in principle), Peter had never thirsted after 'hidden variables' to explain what could not be pictured. Mathematical relationships were enough to satisfy him, mere formal relationships which existed at all times, everywhere, at once. It was a thin nectar, but he was convinced it was the nectar of the gods. The psychic investigators, on the other hand, demanded to know how the mind and the psychical world were related. Through ectoplasm, perhaps? Some fifth force of nature? Extra dimensions of spacetime? All these naive explanations were on a par with the assumption that psi is propagated by a species of nonlocal hidden variables, the favored explanation of sophisticates; ignotum per ignotius . 'In this connection one should particularly remember that the human language permits the construction of sentences which do not involve any consequences and which therefore have no content at all…' The words were Heisenberg’s, lecturing in 1929 on the irreducible ambiguity of the uncertainty relations. They reminded Peter of Evan Harris Walker’s ingenious theory of the psi force, a theory that assigned psi both positive and negative values in such a way that the mere presence of a skeptic in the near vicinity of a sensitive psychic investigation could force null results. Neat, Dr. Walker, thought Peter Slater— neat, and totally without content. One had to be willing to tolerate ambiguity; one had to be willing to be crazy. Heisenberg himself was only human— he’d persuasively woven ambiguity into the fabric of the universe itself, but in that same set of 1929 lectures he’d rejected Dirac’s then-new wave equations with the remark, 'Here spontaneous transitions may occur to the states of negative energy; as these have never been observed, the theory is certainly wrong.' It was a reasonable conclusion, and that was its fault, for Dirac’s equations suggested the existence of antimatter: the first antiparticles, whose existence might never have been suspected without Dirac’s crazy results, were found less than three years later. Those so-called crazy psychics were too sane, that was their problem— they were too stubborn to admit that the universe was already more bizarre than anything they could imagine in their wildest dreams of wizardry." |
Particularly relevant …
"Mathematical relationships were enough to satisfy him,
mere formal relationships which existed at all times,
everywhere, at once."
Some related pure mathematics —
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Tuesday, December 8, 2015
Conceptual Art
A December 7th New York Times column:
A current exhibition by Joseph Kosuth in Oslo:
From the two texts by Mondrian at the right hand of Kosuth —
"The positive and negative states of being bring about action."
"Through its pure relationships, purely abstract art
can approach the expression of the universal …."
These texts may be viewed as glosses on the following image —
Click image for related posts.
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Friday, July 3, 2015
High White Noon
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Friday, June 12, 2015
Space
“Was ist Raum, wie können wir ihn
erfassen und gestalten?”
The Theory and
Organization of the
Bauhaus (1923)
This post was suggested by the Bauhaus song
"Bela Lugosi's Dead" at the beginning of the
1983 Tony Scott classic "The Hunger."
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Sign
"Now we're partners in crime" — Ace of Base, "The Golden Ratio"
Or not.
"The Hunger" (1983) was directed by Tony Scott.
See also Tony Scott in this journal.
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Sunday, May 24, 2015
Point Omega
“Am I still on?” — Ending line of The Osterman Weekend (1983)
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Tuesday, March 31, 2015
Flame Diary
Last Saturday's post Against Dryness quoted "Gone Girl,"
a recent film about an untypical couple.
Other works of interest:
The Flame Alphabet (Ben Marcus, 2012) and
The Folded Clock (Heidi Julavits, 2015).
Marcus and Julavits are husband and wife. As in
"Gone Girl," both are very bright, and the wife
writes a diary. (No other resemblance between
the couples is apparent.)
Update of 6:40 PM ET March 31:
A 1983 review by the parents of Ben Marcus —
Update of 7:09 PM March 31:
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Wednesday, December 3, 2014
Pyramid Dance
Oslo artist Josefine Lyche has a new Instagram post,
this time on pyramids (the monumental kind).
My response —
Wikipedia's definition of a tetrahedron as a
"triangle-based pyramid" …
… and remarks from a Log24 post of August 14, 2013 :
|
Norway dance (as interpreted by an American)
I prefer a different, Norwegian, interpretation of "the dance of four."
Related material: |
See also some of Burkard Polster's triangle-based pyramids
and a 1983 triangle-based pyramid in a paper that Polster cites —
(Click image below to enlarge.)
Some other illustrations that are particularly relevant
for Lyche, an enthusiast of magic :
From On Art and Magic (May 5, 2011) —
|
|
(Updated at about 7 PM ET on Dec. 3.)
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Tuesday, November 25, 2014
Euclidean-Galois Interplay
For previous remarks on this topic, as it relates to
symmetry axes of the cube, see previous posts tagged Interplay.
The above posts discuss, among other things, the Galois
projective plane of order 3, with 13 points and 13 lines.
These Galois points and lines may be modeled in Euclidean geometry
by the 13 symmetry axes and the 13 rotation planes
of the Euclidean cube. They may also be modeled in Galois geometry
by subsets of the 3x3x3 Galois cube (vector 3-space over GF(3)).
The 3×3×3 Galois Cube
Exercise: Is there any such analogy between the 31 points of the
order-5 Galois projective plane and the 31 symmetry axes of the
Euclidean dodecahedron and icosahedron? Also, how may the
31 projective points be naturally pictured as lines within the
5x5x5 Galois cube (vector 3-space over GF(5))?
Update of Nov. 30, 2014 —
For background to the above exercise, see
pp. 16-17 of A Geometrical Picture Book ,
by Burkard Polster (Springer, 1998), esp.
the citation to a 1983 article by Lemay.
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Sunday, November 23, 2014
Remarks on Reality
Wallace Stevens in "An Ordinary Evening in New Haven"
(1950) on "The Ruler of Reality" —
"Again, 'He has thought it out, he thinks it out,
As he has been and is and, with the Queen
Of Fact, lies at his ease beside the sea.'"
One such scene, from 1953 —
Another perspective, from "The Osterman Weekend" (1983) —
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Saturday, August 16, 2014
Les Prédateurs
For the Thin White Duke —
The Next Whiskey Bar:
Saturday, August 16, 2014, 6:00 pm in UTC+02
at LYNX 760 in Oslo, Norway.
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Monday, July 14, 2014
Conversations with an Empty Chair
Continued from August 20, 2013
In honor of Sam Peckinpah, the closing shot of his last film:
“Am I still on?” — Ending line of The Osterman Weekend (1983)
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Friday, June 27, 2014
Friday, February 28, 2014
Code
|
From Northrop Frye's The Great Code: The Bible and Literature , Ch. 3: Metaphor I — "In the preceding chapter we considered words in sequence, where they form narratives and provide the basis for a literary theory of myth. Reading words in sequence, however, is the first of two critical operations. Once a verbal structure is read, and reread often enough to be possessed, it 'freezes.' It turns into a unity in which all parts exist at once, without regard to the specific movement of the narrative. We may compare it to the study of a music score, where we can turn to any part without regard to sequential performance. The term 'structure,' which we have used so often, is a metaphor from architecture, and may be misleading when we are speaking of narrative, which is not a simultaneous structure but a movement in time. The term 'structure' comes into its proper context in the second stage, which is where all discussion of 'spatial form' and kindred critical topics take their origin." |
Related material:
|
"The Great Code does not end with a triumphant conclusion or the apocalypse that readers may feel is owed them or even with a clear summary of Frye’s position, but instead trails off with a series of verbal winks and nudges. This is not so great a fault as it would be in another book, because long before this it has been obvious that the forward motion of Frye’s exposition was illusory, and that in fact the book was devoted to a constant re-examination of the same basic data from various closely related perspectives: in short, the method of the kaleidoscope. Each shake of the machine produces a new symmetry, each symmetry as beautiful as the last, and none of them in any sense exclusive of the others. And there is always room for one more shake."
— Charles Wheeler, "Professor Frye and the Bible," South Atlantic Quarterly 82 (Spring 1983), pp. 154-164, reprinted in a collection of reviews of the book. |
For code in a different sense, but related to the first passage above,
see Diamond Theory Roullete, a webpage by Radamés Ajna.
For "the method of the kaleidoscope" mentioned in the second
passage above, see both the Ajna page and a webpage of my own,
Kaleidoscope Puzzle.
Wednesday, January 8, 2014
Not Subversive, Not Fantasy
The title refers to that of today's previous post, which linked to
a song from the June 1, 1983, album Synchronicity .
(Cf. that term in this journal.)
For some work of my own from the following year, 1984, see…
… as well as the Orwellian dictum Triangles Are Square.
(The cubical figure at left above is from the same month,
if not the same day, as Synchronicity — June 21, 1983.)
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Wednesday, December 4, 2013
The Mirror’s Faces*
See the previous post, the remarks of Roger Kimball
on Frank Stella's lecture at Harvard on Oct. 12, 1983,
and "Study of O" in this journal, with my own images
of space from October 1983.
* The title refers to a 1996 film.
Happy birthday to Jeff Bridges.
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Friday, October 4, 2013
Roll Credits
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Monday, July 29, 2013
St. Walter’s Day
Today is the dies natalis of group theorist Walter Feit.
"The Steiner systems S (5,6,12) and S (5,8,24) are remarkable combinatorial
configurations unlike any others. Their automorphism groups are the Mathieu
groups M12 and M24. These are the only 5-transitive permutation groups other
than symmetric and alternating groups: (a fact long conjectured but only
proved as a consequence of the classification). The Leech lattice is a blown up
version of S (5,8,24). It is the unique even unimodular lattice in 24 dimensions
with no vectors of weight 2. This uniqueness is an essential reason why it is a
geometric object of fundamental importance. The automorphism group Co.O
of the Leech lattice involves about half of the sporadic groups and generally it
is felt that these are well understood."
— Walter Feit, book review, Bulletin of the American Mathematical Society ,
Vol. 8 (1983), 120-124, page 123
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Saturday, June 22, 2013
Modes of Being
From today's earlier post, Stevens and the Rock—
"Rock shows him something that transcends
the precariousness of his humanity:
an absolute mode of being.
Its strength, its motionlessness, its size
and its strange outlines
are none of them human;
they indicate the presence of something
that fascinates, terrifies, attracts and threatens,
all at once."
— Mircea Eliade, Patterns in Comparative Religion (1958)
An object with such an "absolute mode of being"
is the plot center of a new novel discussed here previously—
Max Barry's Lexicon . From a perceptive review:
I believe he’s hit on something special here.
It’s really no surprise that Matthew Vaughn
of Kick-Ass and X-Men: First Class fame
has bought the rights to maybe make the movie;
Lexicon certainly has the makings of a fine film.
Or graphic novel… Whatever.
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Tuesday, February 19, 2013
Configurations
Yesterday's post Permanence dealt with the cube
as a symmetric model of the finite projective plane
PG(2,3), which has 13 points and 13 lines. The points
and lines of the finite geometry occur in the cube as
the 13 axes of symmetry and the 13 planes through
the center perpendicular to those axes. If the three
axes lying in a plane that cuts the cube in a hexagon
are supplemented by the axis perpendicular to that
plane, each plane is associated with four axes and,
dually, each axis is associated with four planes.
My web page on this topic, Cubist Geometries, was
written on February 27, 2010, and first saved to the
Internet Archive on Oct. 4, 2010.
For a more recent treatment of this topic that makes
exactly the same points as the 2010 page, see p. 218
of Configurations from a Graphical Viewpoint , by
Tomaž Pisanski and Brigitte Servatius, published by
Springer on Sept. 23, 2012 (date from both Google
Books and Amazon.com):
For a similar 1998 treatment of the topic, see Burkard Polster's
A Geometrical Picture Book (Springer, 1998), pp. 103-104.
The Pisanski-Servatius book reinforces my argument of Jan. 13, 2013,
that the 13 planes through the cube's center that are perpendicular
to the 13 axes of symmetry of the cube should be called the cube's
symmetry planes , contradicting the usual use of of that term.
That argument concerns the interplay between Euclidean and
Galois geometry. Pisanski and Servatius (and, in 1998, Polster)
emphasize the Euclidean square and cube as guides* to
describing the structure of a Galois space. My Jan. 13 argument
uses Galois structures as a guide to re-describing those of Euclid .
(For a similar strategy at a much more sophisticated level,
see a recent Harvard Math Table.)
Related material: Remarks on configurations in this journal
during the month that saw publication of the Pisanski-Servatius book.
* Earlier guides: the diamond theorem (1978), similar theorems for
2x2x2 (1984) and 4x4x4 cubes (1983), and Visualizing GL(2,p)
(1985). See also Spaces as Hypercubes (2012).
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Thursday, November 29, 2012
The Place of the Lion
For C. S. Lewis, who was born on this date in 1898,
and Natalie Wood, who died on this date in 1981
"He was accustomed to receiving manuscripts from strangers…."
— C. P. Snow on mathematician G. H. Hardy
"Whoever you are— I have always depended on
the kindness of strangers." — A Streetcar Named Desire
From this journal on September 24, 2012—
|
"A single self-transcendence" — Aldous Huxley From an anonymous author at the website Kill Devil Hill— "This little story… has that climactic moment of Kill Devil Hills also appears in a 1983 film—
"Suppose it were possible to transfer — Trailer for "Brainstorm" (1983), |
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Monday, September 24, 2012
Nice Job, Jimmy
"… and now thanks to Philo T. Farnsworth,
we have 'Here Comes Honey Boo Boo.'"
— Jimmy Kimmel at last night's Emmy Awards
Related material—
Aldous Huxley in last evening's Log24 post—
"Embraced, the lovers desperately try
to fuse their insulated ecstasies into
a single self-transcendence…."
From an anonymous author at the website Kill Devil Hill—
"This little story… has that climactic moment of
heightened awareness…. This is a moment where
two individuals become one, empowering them
to transcend the limitations of their own individual
frailty and society. It's an epiphany, an almost
divine spark. It is an experience when one plus one
don't equal two, but something far greater."
Kill Devil Hills also appears in a 1983 film—
"Suppose it were possible to transfer
from one mind to another
the experience of another person."
— Trailer for "Brainstorm" (1983),
the last film of Natalie Wood
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Sunday, June 10, 2012
Outside the Box*
Lee Marvin in the 1983 film Gorky Park
For related material, see yesterday's post on Nietzsche's
Birth of Tragedy and a May 27, 2010, post— Masks .
The link to the Masks post was suggested by four things:
- Tonight's Tony Awards
- A speech dated May 27, 2010 (the Masks date)—
"Russia— Getting It Right the First Time" - The name of the organization on whose website
the speech appears— Tertium Datur - Tertium Datur in this journal—
* The title is in memory of business writer Mike Hammer.
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Monday, December 5, 2011
The Shining (Norwegian Version)
A check tonight of Norwegian artist Josefine Lyche's recent activities
shows she has added a video to her web page that has for some time
contained a wall piece based on the 2×2 case of the diamond theorem —
The video (top left in screenshot above) is a tasteless New-Age discourse
that sounds frighteningly like the teachings of the late Heaven's Gate cult.
Investigating the source of the video on vimeo.com, I found the account of one "Jo Lyxe,"
who joined vimeo in September 2011. This is apparently a variant of Josefine Lyche's name.
The account has three videos—
- "High on RAM (OverLoad)"– Fluid running through a computer's innards
- "Death 2 Everyone"– A mystic vision of the afterlife
- "Realization of the Ultimate Reality (Beyond Form)"– The Blue Star video above
Lyche has elsewhere discussed her New-Age interests, so the contents of the videos
were not too surprising… except for one thing. Vimeo.com states that all three videos
were uploaded "2 months ago"— apparently when "Lyxe" first set up an account.*
I do not know, or particularly care, where she got the Blue Star video, but the other
videos interested me considerably when I found them tonight… since they are
drawn from films I discussed in this journal much more recently than "2 months ago."
"High on RAM (OverLoad)" is taken from the 1984 film "Electric Dreams" that I came across
and discussed here yesterday afternoon, well before re-encountering it again tonight.
And "Death 2 Everyone" (whose title** is perhaps a philosophical statement about inevitable mortality
rather than a mad terrorist curse) is taken from the 1983 Natalie Wood film "Brainstorm."
"Brainstorm" was also discussed here recently… on November 18th, in a post suggested by the
reopening of the investigation into Wood's death.
I had no inkling that these "Jo Lyxe" videos existed until tonight.
The overlapping content of Lyche's mental ramblings and my own seems rather surprising.
Perhaps it is a Norwegian mind-meld, perhaps just a coincidence of interests.
* Update: Google searches by the titles on Dec. 5 show that all three "Lyxe" videos
were uploaded on September 20 and 21, 2011.
** Update: A search shows a track with this title on a Glasgow band's 1994 album.
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Friday, November 18, 2011
Plot Summary
IMDb Plot Summary for
Brainstorm (1983)
Brilliant researchers Lillian Reynolds and Michael Brace have developed a system of recording and playing back actual experiences of people. Once the capability of tapping into "higher brain functions" is added in, and you can literally jump into someone else's head and play back recordings of what he or she was thinking, feeling, seeing, etc., at the time of the recording, the applications for the project quickly spiral out of control. While Michael Brace uses the system to become close again to Karen Brace, his estranged wife who also works on the project, others start abusing it for intense sexual experiences and other logical but morally questionable purposes. The government tries to kick Michael and Lillian off the project once the vast military potential of the technology is discovered. It soon becomes obvious that the government is interested in more than just missile guidance systems. The lab starts producing mind torture recordings and other psychosis inducing material. When one of the researchers dies and tapes the experience of death, Michael is convinced that he must playback this tape to honor the memory of the researcher and to become enlightened. When another researcher dies during playback the tape is locked away and Michael has to fight against his former colleagues and the government lackeys that now run his lab in order to play back and confront the "scariest thing any of us will ever face"— death itself. Written by Eric van Bezooijen.
See also researcher John Gregory Dunne and "Lucero Puro" in this journal.
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Wednesday, June 22, 2011
ART WARS continued
This evening's New York Times obituaries—
A work of art suggested by the first and third items above—
I prefer a work of art that is structurally similar—
and is related to a picture, Portrait of O, from October 1, 1983—
For a recent unexpected Web appearance of Portrait of O,
aee Abracadabra from the midnight of June 18-19.
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Thursday, December 2, 2010
Caesarian
The Dreidel Is Cast
The Nietzschean phrase "ruling and Caesarian spirits" occurred in yesterday morning's post "Novel Ending."
That post was followed yesterday morning by a post marking, instead, a beginning— that of Hanukkah 2010. That Jewish holiday, whose name means "dedication," commemorates the (re)dedication of the Temple in Jerusalem in 165 BC.
The holiday is celebrated with, among other things, the Jewish version of a die— the dreidel . Note the similarity of the dreidel to an illustration of The Stone* on the cover of the 2001 Eerdmans edition of Charles Williams's 1931 novel Many Dimensions—
For mathematics related to the dreidel , see Ivars Peterson's column on this date fourteen years ago.
For mathematics related (if only poetically) to The Stone , see "Solomon's Cube" in this journal.
Here is the opening of Many Dimensions—
For a fanciful linkage of the dreidel 's concept of chance to The Stone 's concept of invariant law, note that the New York Lottery yesterday evening (the beginning of Hanukkah) was 840. See also the number 840 in the final post (July 20, 2002) of the "Solomon's Cube" search.
Some further holiday meditations on a beginning—
Today, on the first full day of Hanukkah, we may or may not choose to mark another beginning— that of George Frederick James Temple, who was born in London on this date in 1901. Temple, a mathematician, was President of the London Mathematical Society in 1951-1953. From his MacTutor biography—
"In 1981 (at the age of 80) he published a book on the history of mathematics. This book 100 years of mathematics (1981) took him ten years to write and deals with, in his own words:-
those branches of mathematics in which I had been personally involved.
He declared that it was his last mathematics book, and entered the Benedictine Order as a monk. He was ordained in 1983 and entered Quarr Abbey on the Isle of Wight. However he could not stop doing mathematics and when he died he left a manuscript on the foundations of mathematics. He claims:-
The purpose of this investigation is to carry out the primary part of Hilbert's programme, i.e. to establish the consistency of set theory, abstract arithmetic and propositional logic and the method used is to construct a new and fundamental theory from which these theories can be deduced."
For a brief review of Temple's last work, see the note by Martin Hyland in "Fundamental Mathematical Theories," by George Temple, Philosophical Transactions of the Royal Society, A, Vol. 354, No. 1714 (Aug. 15, 1996), pp. 1941-1967.
The following remarks by Hyland are of more general interest—
"… one might crudely distinguish between philosophical and mathematical motivation. In the first case one tries to convince with a telling conceptual story; in the second one relies more on the elegance of some emergent mathematical structure. If there is a tradition in logic it favours the former, but I have a sneaking affection for the latter. Of course the distinction is not so clear cut. Elegant mathematics will of itself tell a tale, and one with the merit of simplicity. This may carry philosophical weight. But that cannot be guaranteed: in the end one cannot escape the need to form a judgement of significance."
— J. M. E. Hyland. "Proof Theory in the Abstract." (pdf)
Annals of Pure and Applied Logic 114, 2002, 43-78.
Here Hyland appears to be discussing semantic ("philosophical," or conceptual) and syntactic ("mathematical," or structural) approaches to proof theory. Some other remarks along these lines, from the late Gian-Carlo Rota—
See also "Galois Connections" at alpheccar.org and "The Galois Connection Between Syntax and Semantics" at logicmatters.net.
* Williams's novel says the letters of The Stone are those of the Tetragrammaton— i.e., Yod, He, Vau, He (cf. p. 26 of the 2001 Eerdmans edition). But the letters on the 2001 edition's cover Stone include the three-pronged letter Shin , also found on the dreidel . What esoteric religious meaning is implied by this, I do not know.
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Monday, November 8, 2010
Study of O
Today's previous entry discussed a musical offering by Coltrane, with a link to some spiritual background on a mathematician from India who died on October 16, 1983. Here is a pictorial offering, more in the spirit of Bach than of Coltrane, from the day of that death—
Click on the image for some context.
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Monday, June 21, 2010
Test
From a post by Ivars Peterson, Director
of Publications and Communications at
the Mathematical Association of America,
at 19:19 UTC on June 19, 2010—
Exterior panels and detail of panel,
Michener Gallery at Blanton Museum
in Austin, Texas—
Peterson associates the four-diamond figure
with the Pythagorean theorem.
A more relevant association is the
four-diamond view of a tesseract shown here
on June 19 (the same date as Peterson's post)
in the "Imago Creationis" post—
This figure is relevant because of a
tesseract sculpture by Peter Forakis—
This sculpture was apparently shown in the above
building— the Blanton Museum's Michener gallery—
as part of the "Reimagining Space" exhibition,
September 28, 2008-January 18, 2009.
The exhibition was organized by
Linda Dalrymple Henderson, Centennial Professor
in Art History at the University of Texas at Austin
and author of The Fourth Dimension and
Non-Euclidean Geometry in Modern Art
(Princeton University Press, 1983;
new ed., MIT Press, 2009).
For the sculptor Forakis in this journal,
see "The Test" (December 20, 2009).
"There is such a thing
as a tesseract."
— A Wrinkle in TIme
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Friday, January 29, 2010
More Glass
Part I:
"…although a work of art 'is formed around something missing,' this 'void is its vanishing point, not its essence.' She shows deftly and delicately that the void inside Keats’s urn, Heidegger’s jug, or Wallace Stevens’s jar forms the center around which we tend to organize our worlds."
— Harvard University Press on Persons and Things (April 30, 2008), by Barbara Johnson
Part II:
"Did you see more glass?"
Part III:
From the date of Barbara Johnson's death:
"Mathematical relationships were
enough to satisfy him, mere formal
relationships which existed at
all times, everywhere, at once."
– Broken Symmetries, 1983
| X | ||
| X | ||
| X |
The X's refer to the pattern on the
cover of a paperback edition
of Nine Stories, by J. D. Salinger.
Salinger died on Wednesday.
"You remember that book he sent me
from Germany? You know–
those German poems."
In Germany, Wednesday was
Holocaust Memorial Day, 2010.
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Sunday, January 24, 2010
Annals of Religious Thought
Sting as Hamlet
Detail, cover of Synchronicity album, 1983
Further details of the text on the album cover–
|
Synchronicity: Publisher's description– "Jung's only extended work in the field of parapsychology aims, on the one hand, to incorporate the findings of 'extrasensory perception' (ESP) research into a general scientific point of view and, on the other, to ascertain the nature of the psychic factor in such phenomena. While he had advanced the 'synchronicity' hypothesis as early as the 1920's, Jung gave a full statement only in 1951, in an Eranos lecture; the following year (he was seventy-seven) he published the present monograph in a volume with a related study by the physicist (and Nobel winner) Wolfgang Pauli. Together with a wealth of historical and contemporary material on 'synchronicity,' Jung describes an astrological experiment conducted to test his theory." |
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Thursday, August 27, 2009
Thursday August 27, 2009
The Shining
of Lucero
of Lucero
For John Cramer’s
daughter Kathryn
(continued from
September 24, 2002)
“Mathematical relationships were
enough to satisfy him, mere formal
relationships which existed at
all times, everywhere, at once.”
— Broken Symmetries, 1983
| X | ||
| X | ||
| X |
Comments Off on Thursday August 27, 2009
Thursday, November 13, 2008
Thursday November 13, 2008
In Memory of a
Different Drummer
Different Drummer
Drummer Mitch Mitchell, 61, of
The Jimi Hendrix Experience, was
found dead at 3 AM yesterday
in his hotel room.
“Everybody wants to
go to heaven“
— Kenny Chesney, song at last
night’s Country Music Awards
— Kilgore Trout
(Log24, 5/14/07)
Related material —
the word “experienced”
in yesterday’s entry.
Comments Off on Thursday November 13, 2008
Wednesday, October 15, 2008
Wednesday October 15, 2008
Links for the birthday of the late mathematician Bernhard H. Neumann:
Variety (Universal Algebra) at Wikipedia
Preface to Varieties of Groups (1967), by Hanna Neumann
Some related notes on algebra suggested by finite geometry:
Dynamic and algebraic compatibility of groups (1985 Dec. 11)
Groups related by a nontrivial identity (1985 Nov. 17)
Transformations over a bridge (1983 Aug. 16)
Group identity algebras (1983 Aug. 4)
I have no idea if any work has been done in this area since my own efforts in 1983-1985.
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Thursday, June 12, 2008
Thursday June 12, 2008
Feel lucky?
“The scientific mind does not so much
provide the right answers as
ask the right questions.”
(The Raw and the Cooked,
1964, English translation 1969 —
paperback, U. of Chicago Press,
1983, “Overture,” p. 7)
Context of the question:
A Venn diagram —
shown here last Sunday —
by the illustrator of last Sunday’s
New York Times review of
The Drunkard’s Walk:
How Randomness
Rules Our Lives
Well, do you?
Related material:
6/10
(San Francisco’s new
Contemporary Jewish Museum
as a vision of Hell)
9/28
(A less theological,
more personal, discussion
of Venn diagrams)
Comments Off on Thursday June 12, 2008
Saturday, May 10, 2008
Saturday May 10, 2008
MoMA Goes to
Kindergarten
Kindergarten
"… the startling thesis of Mr. Brosterman's new book, 'Inventing Kindergarten' (Harry N. Abrams, $39.95): that everything the giants of modern art and architecture knew about abstraction they learned in kindergarten, thanks to building blocks and other educational toys designed by Friedrich Froebel, a German educator, who coined the term 'kindergarten' in the 1830's."
— "Was Modernism Born
in Toddler Toolboxes?"
by Trip Gabriel, New York Times,
April 10, 1997
RELATED MATERIAL
Figure 1 —
Concept from 1819:
(Footnotes 1 and 2)
Figure 2 —
The Third Gift, 1837:
Froebel, the inventor of
kindergarten, worked as
an assistant to the
crystallographer Weiss
mentioned in Fig. 1.
(Footnote 3)
Figure 3 —
The Third Gift, 1906:
Figure 4 —
Solomon's Cube,
1981 and 1983:
Figure 5 —
Design Cube, 2006:
The above screenshot shows a
moveable JavaScript display
of a space of six dimensions
(over the two-element field).
(To see how the display works,
try the Kaleidoscope Puzzle first.)
For some mathematical background, see
Footnotes:
1. Image said to be after Holden and Morrison, Crystals and Crystal Growing, 1982
2. Curtis Schuh, "The Library: Biobibliography of Mineralogy," article on Mohs
3. Bart Kahr, "Crystal Engineering in Kindergarten" (pdf), Crystal Growth & Design, Vol. 4 No. 1, 2004, 3-9
2. Curtis Schuh, "The Library: Biobibliography of Mineralogy," article on Mohs
3. Bart Kahr, "Crystal Engineering in Kindergarten" (pdf), Crystal Growth & Design, Vol. 4 No. 1, 2004, 3-9
Comments Off on Saturday May 10, 2008
Wednesday, April 23, 2008
Wednesday April 23, 2008
Upscale Realism
or, "Have some more
wine and cheese, Barack."
Allyn Jackson on Rebecca Goldstein
in the April 2006 AMS Notices (pdf)
|
"Rebecca Goldstein’s 1983 novel The Mind-Body Problem has been widely admired among mathematicians for its authentic depiction of academic life, as well as for its exploration of how philosophical issues impinge on everyday life. Her new book, Incompleteness: The Proof and Paradox of Kurt Gödel, is a volume in the 'Great Discoveries' series published by W. W. Norton….
In March 2005 the Mathematical Sciences Research Institute (MSRI) in Berkeley held a public event in which its special projects director, Robert Osserman, talked with Goldstein about her work. The conversation, which took place before an audience of about fifty people at the Commonwealth Club in San Francisco, was taped…. A member of the audience posed a question that has been on the minds of many of Goldstein’s readers: Is The Mind-Body Problem based on her own life? She did indeed study philosophy at Princeton, finishing her Ph.D. in 1976 with a thesis titled 'Reduction, Realism, and the Mind.' She said that while there are correlations between her life and the novel, the book is not autobiographical…. She… talked about the relationship between Gödel and his colleague at the Institute for Advanced Study, Albert Einstein. The two were very different: As Goldstein put it, 'Einstein was a real mensch, and Gödel was very neurotic.' Nevertheless, a friendship sprang up between the two. It was based in part, Goldstein speculated, on their both being exiles– exiles from Europe and intellectual exiles. Gödel's work was sometimes taken to mean that even mathematical truth is uncertain, she noted, while Einstein's theories of relativity were seen as implying the sweeping view that 'everything is relative.' These misinterpretations irked both men, said Goldstein. 'Einstein and Gödel were realists and did not like it when their work was put to the opposite purpose.'" |
Related material:
From Log24 on
March 22 (Tuesday of
Passion Week), 2005:
|
"'What is this Stone?' Chloe asked…. 'It is told that, when the Merciful One made the worlds, first of all He created that Stone and gave it to the Divine One whom the Jews call Shekinah, and as she gazed upon it the universes arose and had being.'"
— Many Dimensions,
For more on this theme
appropriate to Passion Week — Jews playing God — see
Rebecca Goldstein
Wine and cheese |
From
UPSCALE,
a website of the
physics department at
the University of Toronto:
|
Mirror Symmetry
"The image [above]
The caption of the
'That most divine and beautiful
The caption of the
'A shadow, likeness, or * Sic. The original is incomprehensibilis, a technical theological term. See Dorothy Sayers on the Athanasian Creed and John 1:5. |
For further iconology of the
above equilateral triangles,
see Star Wars (May 25, 2003),
Mani Padme (March 10, 2008),
Rite of Sping (March 14, 2008),
and
Art History: The Pope of Hope
(In honor of John Paul II
three days after his death
in April 2005).
Happy Shakespeare's Birthday.
Comments Off on Wednesday April 23, 2008
Tuesday, February 19, 2008
Tuesday February 19, 2008
Sumerian
Cuneiform
Cuneiform
An: sky, heaven
also
digir (dingir): god, goddess
“The sigil was an eight-limbed
asterisk made of fine dark lines,,,,
An X superimposed on a plus sign.
It looked permanent.”
— Fritz Leiber,
“Damnation Morning,”
1959 short story
in Changewar
asterisk made of fine dark lines,,,,
An X superimposed on a plus sign.
It looked permanent.”
— Fritz Leiber,
“Damnation Morning,”
1959 short story
in Changewar
Ace edition, May 1, 1983
Tuesday, October 16, 2007
Tuesday October 16, 2007
In memory of
Harish-Chandra,
who died at 60
on this date in 1983 
Harish-Chandra in 1981
(Photo by Herman Landshof)
Harish-Chandra,
who died at 60
on this date in 1983
Harish-Chandra in 1981
(Photo by Herman Landshof)
Recent Log24 entries have parodied the use of the phrase “deep beauty” as the title of the Oct. 3-4 physics symposium of that name, which was supported by a grant from the John Templeton Foundation and sponsored by the Department of Philosophy at Princeton University.
Such parody was in part suggested by the symposium’s sources of financial and academic support. This support had, in the view of some, the effect of linking the symposium’s topic, the mathematics of quantum theory, with both religion (the Templeton Foundation) and philosophy (a field sometimes associated in popular thought– though not at Princeton— with quantum mysticism.)
As a corrective to the previous parodies here, the following material on the mathematician Harish-Chandra may help to establish that there is, in fact, such a thing as “deep beauty”– if not in physics, religion, or philosophy, at least in pure mathematics.
MacTutor History of Mathematics:
“Harish-Chandra worked at the Institute of Advanced Study at Princeton from 1963. He was appointed IBM-von Neumann Professor in 1968.”
R. P. Langlands (pdf, undated, apparently from a 1983 memorial talk):
“Almost immediately upon his arrival in Princeton he began working at a ferocious pace, setting standards that the rest of us may emulate but never achieve. For us there is a welter of semi-simple groups: orthogonal groups, symplectic groups, unitary groups, exceptional groups; and in our frailty we are often forced to treat them separately. For him, or so it appeared because his methods were always completely general, there was a single group. This was one of the sources of beauty of the subject in his hands, and I once asked him how he achieved it. He replied, honestly I believe, that he could think no other way. It is certainly true that he was driven back upon the simplifying properties of special examples only in desperate need and always temporarily.”
“It is difficult to communicate the grandeur of Harish-Chandra’s achievements and I have not tried to do so. The theory he created still stands– if I may be excused a clumsy simile– like a Gothic cathedral, heavily buttressed below but, in spite of its great weight, light and soaring in its upper reaches, coming as close to heaven as mathematics can. Harish, who was of a spiritual, even religious, cast and who liked to express himself in metaphors, vivid and compelling, did see, I believe, mathematics as mediating between man and what one can only call God. Occasionally, on a stroll after a seminar, usually towards evening, he would express his feelings, his fine hands slightly upraised, his eyes intent on the distant sky; but he saw as his task not to bring men closer to God but God closer to men. For those who can understand his work and who accept that God has a mathematical side, he accomplished it.”
For deeper views of his work, see
- Rebecca A. Herb, “Harish-Chandra and His Work” (pdf), Bulletin of the American Mathematical Society, July 1991, and
- R. P. Langlands, “Harish-Chandra, 1923-1983” (pdf, 28 pp., Royal Society memoir, 1985)
Comments Off on Tuesday October 16, 2007
Saturday, October 13, 2007
Saturday October 13, 2007
Simon’s Shema
| “When times are mysterious Serious numbers will always be heard And after all is said and done And the numbers all come home The four rolls into three The three turns into two And the two becomes a One” |
Related material:
Simon’s theology here, though radically reductive, is at least consistent with traditional Jewish thought. It may help counteract the thoughtless drift to the left of academic writing in recent decades. Another weapon against leftist nonsense appears, surprisingly, on the op-ed page of today’s New York Times:
“There is a Communist jargon recognizable after a single sentence. Few people in Europe have not joked in their time about ‘concrete steps,’ ‘contradictions,’ ‘the interpenetration of opposites,’ and the rest.”
— Doris Lessing, winner of this year’s Nobel Prize in Literature
The Times offers Lessing’s essay to counter Harold Bloom’s remark that this year’s award of a Nobel Prize to Lessing is “pure political correctness.” The following may serve as a further antidote to Bloom.
The Communist use of “interpenetration,” a term long used to describe the Holy Trinity, suggests– along with Simon’s hymn to the Unity, and the rhetorical advice of Norman Mailer quoted here yesterday— a search for the full phrase “interpenetration of opposites” in the context* of theology. Such a search yields a rhetorical gem from New Zealand:
* See the final footnote on the final page (249) of Brimblecombe’s thesis:
3 The Latin word contexo means to interweave, join, or braid together.
A check of the Online Eymology Dictionary supports this assertion:
See also Wittgenstein on “theology as grammar” and “context-sensitive” grammars as (unlike Simon’s reductive process) “noncontracting”– Log24, April 16, 2007: Happy Birthday, Benedict XVI.
Comments Off on Saturday October 13, 2007
Thursday, October 11, 2007
Thursday October 11, 2007
Comments today on Peter Woit’s weblog entry “Deep Beauty“–
Comments Off on Thursday October 11, 2007
Saturday, July 21, 2007
Saturday July 21, 2007
Death of a Nominalist
“All our words from loose using have lost their edge.” –Ernest Hemingway
(The Hemingway quotation is from the AP’s “Today in History” on July 21, 2007; for the context, see Death in the Afternoon.)
Today seems as good a day as any for noting the death of an author previously discussed in Log24 on January 29, 2007, and January 31, 2007.
Joseph Goguen died on July 3, 2006. (I learned of his death only after the entries of January 2007 were written. They still hold.)
Goguen’s death may be viewed in the context of the ongoing war between the realism of Plato and the nominalism of the sophists. (See, for instance, Log24 on August 10-15, 2004, and on July 3-5, 2007.)
Joseph A. Goguen, “Ontology, Society, and Ontotheology” (pdf):
“Before introducing algebraic semiotics and structural blending, it is good to be clear about their philosophical orientation. The reason for taking special care with this is that, in Western culture, mathematical formalisms are often given a status beyond what they deserve. For example, Euclid wrote, ‘The laws of nature are but the mathematical thoughts of God.’ Similarly, the ‘situations’ in the situation semantics of Barwise and Perry, which resemble conceptual spaces (but are more sophisticated– perhaps too sophisticated), are considered to be actually existing, real entities [23], even though they may include what are normally considered judgements.5 The classical semiotics of Charles Sanders Peirce [24] also tends towards a Platonist view of signs. The viewpoint of this paper is that all formalisms are constructed in the course of some task, such as scientific study or engineering design, for the heuristic purpose of facilitating consideration of certain issues in that task. Under this view, all theories are situated social entities, mathematical theories no less than others; of course, this does not mean that they are not useful.”
5 The “types” of situation theory are even further removed from concrete reality.
[23] Jon Barwise and John Perry. Situations and Attitudes. MIT (Bradford), 1983.
[24] Charles Sanders Peirce. Collected Papers. Harvard, 1965. In 6 volumes; see especially Volume 2: Elements of Logic.
From Log24 on the date of Goguen’s death:
Requiem for a clown:
“At times, bullshit can only be
countered with superior bullshit.”
This same Mailer aphorism was quoted, along with an excerpt from the Goguen passage above, in Log24 this year on the date of Norman Mailer’s birth. Also quoted on that date:
Sophia. Then these thoughts of Nature are also thoughts of God.
Alfred. Undoubtedly so, but however valuable the expression may be, I would rather that we should not make use of it till we are convinced that our investigation leads to a view of Nature, which is also the contemplation of God. We shall then feel justified by a different and more perfect knowledge to call the thoughts of Nature those of God….
Whether the above excerpt– from Hans Christian Oersted‘s The Soul in Nature (1852)– is superior to the similar remark of Goguen, the reader may decide.
Comments Off on Saturday July 21, 2007
Friday, June 15, 2007
Friday June 15, 2007
A Study in
Art Education
Art Education
Rudolf Arnheim, a student of Gestalt psychology (which, an obituary notes, emphasizes "the perception of forms as organized wholes") was the first Professor of the Psychology of Art at Harvard. He died at 102 on Saturday, June 9, 2007.
The conclusion of yesterday's New York Times obituary of Arnheim:
"… in The New York Times Book Review in 1986, Celia McGee called Professor Arnheim 'the best kind of romantic,' adding, 'His wisdom, his patient explanations and lyrical enthusiasm are those of a teacher.'"
A related quotation:
"And you are teaching them a thing or two about yourself. They are learning that you are the living embodiment of two timeless characterizations of a teacher: 'I say what I mean, and I mean what I say' and 'We are going to keep doing this until we get it right.'"
Here, yet again, is an illustration that has often appeared in Log24– notably, on the date of Arnheim's death:
Related quotations:
"We have had a gutful of fast art and fast food. What we need more of is slow art: art that holds time as a vase holds water: art that grows out of modes of perception and whose skill and doggedness make you think and feel; art that isn't merely sensational, that doesn't get its message across in 10 seconds, that isn't falsely iconic, that hooks onto something deep-running in our natures. In a word, art that is the very opposite of mass media. For no spiritually authentic art can beat mass media at their own game."
— Robert Hughes, speech of June 2, 2004
"Whether the 3×3 square grid is fast art or slow art, truly or falsely iconic, perhaps depends upon the eye of the beholder."
If the beholder is Rudolf Arnheim, whom we may now suppose to be viewing the above figure in the afterlife, the 3×3 square is apparently slow art. Consider the following review of his 1982 book The Power of the Center:
"Arnheim deals with the significance of two kinds of visual organization, the concentric arrangement (as exemplified in a bull's-eye target) and the grid (as exemplified in a Cartesian coordinate system)….
It is proposed that the two structures of grid and target are the symbolic vehicles par excellence for two metaphysical/psychological stances. The concentric configuration is the visual/structural equivalent of an egocentric view of the world. The self is the center, and all distances exist in relation to the focal spectator. The concentric arrangement is a hermetic, impregnable pattern suited to conveying the idea of unity and other-worldly completeness. By contrast, the grid structure has no clear center, and suggests an infinite, featureless extension…. Taking these two ideal types of structural scaffold and their symbolic potential (cosmic, egocentric vs. terrestrial, uncentered) as given, Arnheim reveals how their underlying presence organizes works of art."
— Review of Rudolf Arnheim's The Power of the Center: A Study of Composition in the Visual Arts (Univ. of Calif. Press, 1982). Review by David A. Pariser, Studies in Art Education, Vol. 24, No. 3 (1983), pp. 210-213
Arnheim himself says in this book (pp. viii-ix) that "With all its virtues, the framework of verticals and horizontals has one grave defect. It has no center, and therefore it has no way of defining any particular location. Taken by itself, it is an endless expanse in which no one place can be distinguished from the next. This renders it incomplete for any mathematical, scientific, and artistic purpose. For his geometrical analysis, Descartes had to impose a center, the point where a pair of coordinates [sic] crossed. In doing so he borrowed from the other spatial system, the centric and cosmic one."
Students of art theory should, having read the above passages, discuss in what way the 3×3 square embodies both "ideal types of structural scaffold and their symbolic potential."
We may imagine such a discussion in an afterlife art class– in, perhaps, Purgatory rather than Heaven– that now includes Arnheim as well as Ernst Gombrich and Kirk Varnedoe.
Such a class would be one prerequisite for a more advanced course– Finite geometry of the square and cube.
Comments Off on Friday June 15, 2007
Tuesday, May 8, 2007
Tuesday May 8, 2007
The Public Square
On the words “symbology” and “communitas” (the former used, notably, as the name of a fictional field at Harvard in the novel The Da Vinci Code)–
Symbology:
“Also known as ‘processual symbolic analysis,’ this concept was developed by Victor Turner in the mid-1970s to refer to the use of symbols within cultural contexts, in particular ritual. In anthropology, symbology originated as part of Victor Turner’s concept of ‘comparative symbology.’ Turner (1920-1983) was professor of Anthropology at Cornell University, the University of Chicago, and finally he was Professor of Anthropology and Religion at the University of Virginia.” —Wikipedia
Symbology and Communitas:
|
From Beth Barrie’s
“Victor Turner“— “‘The positional meaning of a symbol derives from its relationship to other symbols in a totality, a Gestalt, whose elements acquire their significance from the system as a whole’ (Turner, 1967:51). Turner considered himself a comparative symbologist, which suggests he valued his contributions to the study of ritual symbols. It is in the closely related study of ritual processes that he had the most impact.
The most important contribution Turner made to the field of anthropology is his work on liminality and communitas. Believing the liminal stage to be of ‘crucial importance’ in the ritual process, Turner explored the idea of liminality more seriously than other anthropologists of his day. As noted earlier Turner elaborated on van Gennep’s concept of liminality in rites of passage. Liminality is a state of being in between phases. In a rite of passage the individual in the liminal phase is neither a member of the group she previously belonged to nor is she a member of the group she will belong to upon the completion of the rite. The most obvious example is the teenager who is neither an adult nor a child. ‘Liminal entities are neither here nor there; they are betwixt and between the positions assigned and arrayed by law, custom, convention, and ceremonial’ (Turner, 1969:95). Turner extended the liminal concept to modern societies in his study of liminoid phenomena in western society. He pointed out the similarities between the ‘leisure genres of art and entertainment in complex industrial societies and the rituals and myths of archaic, tribal and early agrarian cultures’ (1977:43). Closely associated to liminality is communitas which describes a society during a liminal period that is ‘unstructured or rudimentarily structured [with] a relatively undifferentiated comitatus, community, or even communion of equal individuals who submit together to the general authority of the ritual elders’ (Turner, 1969:96). The notion of communitas is enhanced by Turner’s concept of anti-structure. In the following passage Turner clarifies the ideas of liminal, communitas and anti-structure:
It is the potential of an anti-structured liminal person or liminal society (i.e., communitas) that makes Turner’s ideas so engaging. People or societies in a liminal phase are a ‘kind of institutional capsule or pocket which contains the germ of future social developments, of societal change’ (Turner, 1982:45). Turner’s ideas on liminality and communitas have provided scholars with language to describe the state in which societal change takes place.”
Turner, V. (1967). The forest of symbols: Aspects of Ndembu ritual. Ithaca, NY: Cornell University Press. Turner, V. (1969). The ritual process: structure and anti-structure. Chicago: Aldine Publishing Co. Turner, V. (1977). Variations of the theme of liminality. In Secular ritual. Ed. S. Moore & B. Myerhoff. Assen: Van Gorcum, 36-52. Turner, V. (1982). From ritual to theater: The human seriousness of play. New York: PAJ Publications. |
Related material on Turner in Log24:
Aug. 27, 2006 and Aug. 30, 2006. For further context, see archive of Aug. 19-31, 2006.
Related material on Cuernavaca:
Google search on Cuernavaca + Log24.
Comments Off on Tuesday May 8, 2007
Tuesday, January 9, 2007
Tuesday January 9, 2007
For Balanchine's Birthday
(continued from
January 9, 2003)
George Balanchine
|
"What on earth is
a concrete universal?"
— Robert M. Pirsig
Review:
From Wikipedia's
"Upper Ontology"
and
Epiphany 2007:
"There is no neutral ground
that can serve as
a means of translating between
specialized (lower) ontologies."
There is, however,
"the field of reason"–
the 3×3 grid:
Click on grid
for details.
As Rosalind Krauss
has noted, some artists
regard the grid as
"a staircase to
the Universal."
Other artists regard
Epiphany itself as an
approach to
the Universal:
— Richard Kearney, 2005,
in The New Arcadia Review
Kearney (right) with
Martin Scorsese (left)
and Gregory Peck
in 1997.
"… one of the things that worried me about traditional metaphysics, at least as I imbibed it in a very Scholastic manner at University College Dublin in the seventies, is that philosophy was realism and realism was truth. What disturbed me about that was that everything was already acquired; truth was always a systematic given and it was there to be learned from Creation onwards; it was spoken by Jesus Christ and then published by St. Thomas Aquinas: the system as perfect synthesis. Hence, my philosophy grew out of a hunger for the 'possible' and it was definitely a reaction to my own philosophical formation. Yet that wasn't my only reaction. I was also reacting to what I considered to be the deep pessimism, and even at times 'nihilism' of the postmodern turn."
— Richard Kearney, interview (pdf) in The Leuven Philosophy Newsletter, Vol. 14, 2005-2006
For more on "the possible," see Kearney's The God Who May Be, Diamonds Are Forever, and the conclusion of Mathematics and Narrative:
|
"We symbolize
logical necessity with the box  )and logical possibility with the diamond  )."
"The possibilia that exist,
— Michael Sudduth, |
Monday, January 9, 2006
Monday January 9, 2006
Cornerstone
“In 1782, the Swiss mathematician Leonhard Euler posed a problem whose mathematical content at the time seemed about as much as that of a parlor puzzle. 178 years passed before a complete solution was found; not only did it inspire a wealth of mathematics, it is now a cornerstone of modern design theory.”
— Dean G. Hoffman, Auburn U.,
July 2001 Rutgers talk
Diagrams from Dieter Betten’s 1983 proof
of the nonexistence of two orthogonal
6×6 Latin squares (i.e., a proof
of Tarry’s 1900 theorem solving
Euler’s 1782 problem of the 36 officers):
Compare with the partitions into
two 8-sets of the 4×4 Latin squares
discussed in my 1978 note (pdf).
Comments Off on Monday January 9, 2006
Wednesday, January 4, 2006
Wednesday January 4, 2006
The Shining
The Shining according to
the Catholic Church:
“The Transfiguration of Christ is the culminating point of His public life…. Jesus took with him Peter and James and John and led them to a high mountain apart, where He was transfigured before their ravished eyes. St. Matthew and St. Mark express this phenomenon by the word metemorphothe, which the Vulgate renders transfiguratus est. The Synoptics explain the true meaning of the word by adding ‘his face did shine as the sun: and his garments became white as snow,’ according to the Vulgate, or ‘as light,’ according to the Greek text. This dazzling brightness which emanated from His whole Body was produced by an interior shining of His Divinity.”
— The Catholic Encyclopedia of 1912
The Shining according to
Paul Preuss:
Paul Preuss:
From Broken Symmetries, 1983, Chapter 16:
“He’d toyed with ‘psi’ himself…. The reason he and so many other theoretical physicists were suckers for the stuff was easy to understand– for two-thirds of a century an enigma had rested at the heart of theoretical physics, a contradiction, a hard kernel of paradox….
Peter [Slater] had never thirsted after ‘hidden variables’ to explain what could not be pictured. Mathematical relationships were enough to satisfy him, mere formal relationships which existed at all times, everywhere, at once. It was a thin nectar, but he was convinced it was the nectar of the gods….
Those so-called crazy psychics were too sane, that was their problem– they were too stubborn to admit that the universe was already more bizarre than anything they could imagine in their wildest dreams of wizardry.”
Wednesday, October 26, 2005
Wednesday October 26, 2005
Today’s Birthday:
Natalie Merchant
From Wikipedia:
Natalie Merchant
From Wikipedia:
“Hope Chest:
The Fredonia Recordings 1982-1983
is a 1990 album by 10,000 Maniacs.
It compiles tracks from their early releases
Human Conflict Number Five and
Secrets of the I Ching.”
The Fredonia Recordings 1982-1983
is a 1990 album by 10,000 Maniacs.
It compiles tracks from their early releases
Human Conflict Number Five and
Secrets of the I Ching.”
Comments Off on Wednesday October 26, 2005
Monday, October 17, 2005
Monday October 17, 2005
Place
“Critics have compared Mr. Stone to Conrad, Faulkner, Hemingway, Graham Greene, Malcolm Lowry, Nathanael West; all apt enough, but there’s a James T. Farrell, Raymond Chandler, Dashiell Hammett strain as well – a hard-edged, lonely intelligence that sets bright promise off against stark failure and deals its mordant hand lightly. In A Flag for Sunrise (1981), an anthropologist observes: ‘There’s always a place for God. . . . There is some question as to whether He’s in it.'”
— Jean Strouse on Robert Stone
“When times are mysterious
Serious numbers will always be heard
And after all is said and done
And the numbers all come home
The four rolls into three
The three turns into two
And the two becomes a
One”
— Paul Simon,
“When Numbers Get Serious,” from
“Hearts and Bones” album, 1983
“Hickory Dickory Dock….”
Comments Off on Monday October 17, 2005
Saturday, August 13, 2005
Saturday August 13, 2005
Kaleidoscope, continued:
In Derrida’s Defense
The previous entry quoted an attack on Jacques Derrida for ignoring the “kaleidoscope” metaphor of Claude Levi-Strauss. Here is a quote by Derrida himself:
“The time for reflection is also the chance for turning back on the very conditions of reflection, in all the senses of that word, as if with the help of an optical device one could finally see sight, could not only view the natural landscape, the city, the bridge and the abyss, but could view viewing. (1983:19)
— Derrida, J. (1983) ‘The Principle of Reason: The University in the Eyes of its Pupils’, Diacritics 13.3: 3-20.”
The above quotation comes from Simon Wortham, who thinks the “optical device” of Derrida is a mirror. The same quotation appears in Desiring Dualisms at thispublicaddress.com, where the “optical device” is interpreted as a kaleidoscope.
Derrida’s “optical device” may (for university pupils desperately seeking an essay topic) be compared with Joyce’s “collideorscape.” For a different connection with Derrida, see The ‘Collideorscape’ as Différance.
Sunday, June 19, 2005
Sunday June 19, 2005
ART WARS:
Darkness Visible
Darkness Visible
“No light, but rather darkness visible
Serv’d only to discover sights of woe”
— John Milton, Paradise Lost,
Book I, lines 63-64
Serv’d only to discover sights of woe”
— John Milton, Paradise Lost,
Book I, lines 63-64
A famed vulgarizer, Martin Gardner,
summarizes the art of Ad Reinhardt
(Adolph Dietrich Friedrich Reinhardt,
Dec. 24, 1913 – Aug. 30, 1967):
summarizes the art of Ad Reinhardt
(Adolph Dietrich Friedrich Reinhardt,
Dec. 24, 1913 – Aug. 30, 1967):
“Ed Rinehart [sic] made a fortune painting canvases that were just one solid color. He had his black period in which the canvas was totally black. And then he had a blue period in which he was painting the canvas blue. He was exhibited in top shows in New York, and his pictures wound up in museums. I did a column in Scientific American on minimal art, and I reproduced one of Ed Rinehart’s black paintings. Of course, it was just a solid square of pure black. The publisher insisted on getting permission from the gallery to reproduce it.”
|
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
Ad Reinhardt, The viewer may need to tilt “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.” — Rosalind Krauss,
|
In memory of
St. William Golding
(Sept. 19, 1911 – June 19, 1993)
Comments Off on Sunday June 19, 2005
Tuesday, September 28, 2004
Tuesday September 28, 2004
3:33:33 PM
Romantic Interaction, continued…
The Rhyme of Time
From American Dante Bibliography for 1983:
|
Freccero, John. "Paradiso X: The Dance of the Stars" (1968). Reprinted in Dante in America … (q.v.), pp. 345-371. [1983] Freccero, John. "The Significance of terza rima." In Dante, Petrarch, Boccaccio: Studies in the Italian Trecento … (q.v.), pp. 3-17. [1983] Interprets the meaning of terza rima in terms of a temporal pattern of past, present, and future, with which the formal structure and the thematics of the whole poem coordinate homologically: "both the verse pattern and the theme proceed by a forward motion which is at the same time recapitulary." Following the same pattern in the three conceptual orders of the formal, thematical, and logical, the autobiographical narrative too is seen "as forward motion that moves towards its own beginning, or as a form of advance and recovery, leading toward a final recapitulation." And the same pattern is found especially to obtain theologically and biblically (i.e., historically). By way of recapitulation, the author concludes with a passage from Augustine's Confessions on the nature of time, which "conforms exactly to the movement of terza rima." Comes with six diagrams illustrating the various patterns elaborated in the text. |
From Rachel Jacoff's review of Pinsky's translation of Dante's Inferno:
"John Freccero's Introduction to the translation distills a compelling reading of the Inferno into a few powerful and immediately intelligible pages that make it clear why Freccero is not only a great Dante scholar, but a legendary teacher of the poem as well."
From The Undivine Comedy, Ch. 2, by Teodolinda Barolini (Princeton University Press, 1992):
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"… we exist in time which, according to Aristotle, "is a kind of middle-point, uniting in itself both a beginning and an end, a beginning of future time and an end of past time."* It is further to say that we exist in history, a middleness that, according to Kermode, men try to mitigate by making "fictive concords with origins and ends, such as give meaning to lives and to poems." Time and history are the media Dante invokes to begin a text whose narrative journey will strive to imitate– not escape– the journey it undertakes to represent, "il cammin di nostra vita." * Aristotle is actually referring to the moment, which he considers indistinguishable from time: "Now since time cannot exist and is unthinkable apart from the moment, and the moment is a kind of middle-point, uniting as it does in itself both a beginning and an end, a beginning of future time and an end of past time, it follows that there must always be time: for the extremity of the last period of time that we take must be found in some moment, since time contains no point of contact for us except in the moment. Therefore, since the moment is both a beginning and an end there must always be time on both sides of it" (Physics 8.1.251b18-26; in the translation of R. P. Hardie and R. K. Gaye, in The Basic Works of Aristotle, ed. Richard McKeon [New York: Random House, 1941]). |
From Four Quartets:
And the pool was filled with water out of sunlight,
And the lotos rose, quietly, quietly,
The surface glittered out of heart of light,
And they were behind us, reflected in the pool.
Then a cloud passed, and the pool was empty.
Go, said the bird, for the leaves were full of children,
Hidden excitedly, containing laughter.
Go, go, go, said the bird: human kind
Cannot bear very much reality.
Time past and time future
What might have been and what has been
Point to one end, which is always present.
Comments Off on Tuesday September 28, 2004
Tuesday, September 14, 2004
Tuesday September 14, 2004
The Square Wheel
Harmonic analysis may be based either on the circular (i.e., trigonometric) functions or on the square (i. e., Walsh) functions. George Mackey's masterly historical survey showed that the discovery of Fourier analysis, based on the circle, was of comparable importance (within mathematics) to the discovery (within general human history) of the wheel. Harmonic analysis based on square
For some observations of Stephen Wolfram on square-wheel analysis, see pp. 573 ff. in Wolfram's magnum opus, A New Kind of Science (Wolfram Media, May 14, 2002). Wolfram's illustration of this topic is closely related, as it happens, to a note on the symmetry of finite-geometry hyperplanes that I wrote in 1986. A web page pointing out this same symmetry in Walsh functions was archived on Oct. 30, 2001.
That web page is significant (as later versions point out) partly because it shows that just as the phrase "the circular functions" is applied to the trigonometric functions, the phrase "the square functions" might well be applied to Walsh
"While the reader may draw many a moral from our tale, I hope that the story is of interest for its own sake. Moreover, I hope that it may inspire others, participants or observers, to preserve the true and complete record of our mathematical times."
— From Error-Correcting Codes
Through Sphere Packings
To Simple Groups,
by Thomas M. Thompson,
Mathematical Association of America, 1983
Comments Off on Tuesday September 14, 2004
Friday, July 9, 2004
Friday July 9, 2004
Scoop
This afternoon I came across, in a briefcase I seldom use, two books I had not looked at since I bought them last month:
- The Footprints of God, a recently published paperback by Greg Iles, a writer who graduated from Trinity High School, Natchez, Mississippi, in 1979, and from the University of Mississippi in Oxford in 1983.
- Sanctuary, by the better-known Mississippi writer William Faulkner.
At the time I purchased the books, indeed until I looked up Iles on the Web today, I was not aware of the Mississippi connection. Their physical connection, lying together today in my briefcase, is, of course, purely coincidental. My view of coincidence is close to that of Arthur Koestler, who wrote The Challenge of Chance and The Roots of Coincidence, and to that of Loren Eiseley, who wrote of a dice game and of "the Other Player" in his autobiography, All the Strange Hours.
A Log24 entry yesterday referred to a comedic novel on the role of chance in physics, Cosmic Banditos. Today's New York Times quotes an entertainer who referred to President Bush yesterday, at a political fund-raiser, as a bandito. Another coincidence… this one related directly to the philosophy of coincidences expounded jokingly in Cosmic Banditos.
I draw no conclusions from such coincidences, but they do inspire me to look a little deeper into life's details — where, some say, God is. Free association on these details, together with a passage in Sanctuary, inspired the following collage:
Related Texts
Faulkner on a trinity of women
in Sanctuary (Ch. 25):
"Miss Reba emerged from behind the screen with three glasses of gin. 'This'll put some heart into us,' she said. 'We're setting here like three old sick cats.' They bowed formally and drank, patting their lips. Then they began to talk. They were all talking at once,* again in half-completed sentences, but without pauses for agreement or affirmation."
"In Defense of the Brand":
"In Defense of the Brand":
"When I was helping Frito corn chips expand its core user group in the mid-'90s, we didn't ask Frito-Lay to just wave the Fritos banner. The brand was elevated to a place where it could address its core users in a way that was relevant to their lifestyle. We took the profile of the audience and created a campaign starring Reba McEntire. It captured the brand's essence, and set Frito eaters amidst good music, good people, and good fun."
Song lyric, Reba McEntire:
"I might have been born
just plain white trash,
but Fancy was my name."
just plain white trash,
but Fancy was my name."
Loren Eiseley,
Notes of an Alchemist:
I never found
the hole in the wall;
I never found
Pancho Villa country
where you see the enemy first.
— "The Invisible Horseman"
* A significant phrase. See
Wednesday, September 10, 2003
Wednesday September 10, 2003
4:04:08
The title refers to my entry of last April 4,
and to the time of this entry.
From D. H. Lawrence and the Dialogical Principle:
“Plato’s Dialogues…are queer little novels….[I]t was the greatest pity in the world, when philosophy and fiction got split. They used to be one, right from the days of myth. Then they went and parted, like a nagging married couple, with Aristotle and Thomas Aquinas and that beastly Kant. So the novel went sloppy, and philosophy went abstract-dry. The two should come together again, in the novel.”
— pp. 154-5 in D. H. Lawrence, “The Future of the Novel,” in Study of Thomas Hardy and Other Essays. Ed. Bruce Steele. Cambridge: Cambridge University Press,1983. 149-55.
“The wild, brilliant, alert head of St. Mawr seemed to look at her out of another world… the large, brilliant eyes of that horse looked at her with demonish question…. ‘Meet him half way,’ Lewis [the groom] said. But halfway across from our human world to that terrific equine twilight was not a small step.”
— pp. 30, 35 in D. H. Lawrence, “St. Mawr.” 1925. St. Mawr and Other Stories. Ed. Brian Finney. Cambridge: Cambridge University Press, 1983.
See also
Plato, Pegasus, and the Evening Star.
Katherine Neville’s novel The Eight, referred to in my note of April 4, is an excellent example of how not to combine philosophy with fiction. Lest this be thought too harsh, let me say that the New Testament offers a similarly ludicrous mixture.
On the other hand, there do exist successful combinations of philosophy with fiction… For example, The Glass Bead Game, Zen and The Art of Motorcycle Maintenance, Under the Volcano, the novels of Charles Williams, and the C. S. Lewis classic That Hideous Strength.
This entry was prompted by the appearance of the god Pan in my entry on this date last year, by Hugh Grant’s comedic encounters with Pan in “Sirens,” by Lawrence’s remarks on Pan in “St. Mawr,” and by the classic film “Picnic at Hanging Rock.”
Monday, August 25, 2003
Monday August 25, 2003
Gates to the City
Today’s birthday:
On August 25, 1918, composer Leonard Bernstein was born.
From Winter’s Tale, Harcourt Brace (1983):
Four Gates to the CityBy MARK HELPRIN Every city has its gates, which need not be of stone. Nor need soldiers be upon them or watchers before them. At first, when cities were jewels in a dark and mysterious world, they tended to be round and they had protective walls. To enter, one had to pass through gates, the reward for which was shelter from the overwhelming forests and seas, the merciless and taxing expanse of greens, whites, and blues–wild and free–that stopped at the city walls. In time the ramparts became higher and the gates more massive, until they simply disappeared and were replaced by barriers, subtler than stone, that girded every city like a crown and held in its spirit. Some claim that the barriers do not exist, and disparage them. Although they themselves can penetrate the new walls with no effort, their spirits (which, also, they claim do not exist) cannot, and are left like orphans around the periphery. To enter a city intact it is necessary to pass through one of the new gates. They are far more difficult to find than their solid predecessors, for they are tests, mechanisms, devices, and implementations of justice. There once was a map, now long gone, one of the ancient charts upon which colorful animals sleep or rage. Those who saw it said that in its illuminations were figures and symbols of the gates. The east gate was that of acceptance of responsibility, the south gate that of the desire to explore, the west gate that of devotion to beauty, and the north gate that of selfless love. But they were not believed. It was said that a city with entryways like these could not exist, because it would be too wonderful. Those who decide such things decided that whoever had seen the map had only imagined it, and the entire matter was forgotten, treated as if it were a dream, and ignored. This, of course, freed it to live forever. |
See also
- City of God, by E. L. Doctorow, and
- The Lion, the Witch, and the Wardrobe, by C. S. Lewis.
Lenny’s Gate:
Fred Stein,
Central Park,
1945
Thanks to Sonja Klein Fine Art
for pointing out the Stein photo.
Thursday, December 19, 2002
Thursday December 19, 2002
Winter’s Tale
The title is that of a novel by Mark Helprin.
On this date in 1903, the Williamsburg Bridge between Brooklyn and Manhattan was opened to traffic.
From the opening of Helprin’s 1983 novel:
“The horse…. trotted alone over the carriage road of the Williamsburg Bridge, before the light, while the toll keeper was sleeping by his stove and many stars were still blazing above the city.”
|
Seven is |
|
See also Plato, Pegasus, and the Evening Star.
“The Forms are abstract but real.”
Wednesday, October 23, 2002
Wednesday October 23, 2002
Eleven Years Ago Today…
On October 23, 1991, I placed in my (paper) journal various entries that would remind me of the past… of Cuernavaca, Mexico, and a girl I knew there in 1962. One of the entries dealt with a book by Arthur Koestler, The Challenge of Chance. A search for links related to that book led to the following site, which I find very interesting:
http://www.geocities.com/Athens/2740/.
This is a commonplace-book site, apparently a collection of readings for the end of the century and millennium. No site title or owner is indicated, but the readings are excellent. Accepting the challenge of chance, I reproduce one of the readings… The author was not writing about Cuernavaca, but may as well have been.
From Winter’s Tale, Harcourt Brace (1983):
Four Gates to the CityBy MARK HELPRIN Every city has its gates, which need not be of stone. Nor need soldiers be upon them or watchers before them. At first, when cities were jewels in a dark and mysterious world, they tended to be round and they had protective walls. To enter, one had to pass through gates, the reward for which was shelter from the overwhelming forests and seas, the merciless and taxing expanse of greens, whites, and blues–wild and free–that stopped at the city walls. In time the ramparts became higher and the gates more massive, until they simply disappeared and were replaced by barriers, subtler than stone, that girded every city like a crown and held in its spirit. Some claim that the barriers do not exist, and disparage them. Although they themselves can penetrate the new walls with no effort, their spirits (which, also, they claim do not exist) cannot, and are left like orphans around the periphery. To enter a city intact it is necessary to pass through one of the new gates. They are far more difficult to find than their solid predecessors, for they are tests, mechanisms, devices, and implementations of justice. There once was a map, now long gone, one of the ancient charts upon which colorful animals sleep or rage. Those who saw it said that in its illuminations were figures and symbols of the gates. The east gate was that of acceptance of responsibility, the south gate that of the desire to explore, the west gate that of devotion to beauty, and the north gate that of selfless love. But they were not believed. It was said that a city with entryways like these could not exist, because it would be too wonderful. Those who decide such things decided that whoever had seen the map had only imagined it, and the entire matter was forgotten, treated as if it were a dream, and ignored. This, of course, freed it to live forever. |
Comments Off on Wednesday October 23, 2002
Friday, October 18, 2002
Friday October 18, 2002
Readings for the Oct. 18
Feast of St. Luke
A fellow Xangan is undergoing a spiritual crisis. Well-meaning friends are urging upon her all sorts of advice. The following is my best effort at religious counsel, meant more for the friends than for the woman in crisis.
Part I… Wallace Stevens
From Brewer’s Dictionary of Phrase and Fable:
Ox Emblematic of St. Luke. It is one of the four figures which made up Ezekiel’s cherub (i. 10). The ox is the emblem of the priesthood….
The dumb ox. St. Thomas Aquinas; so named by his fellow students at Cologne, on account of his dulness and taciturnity. (1224-1274.)
Albertus said, “We call him the dumb ox, but he will give one day such a bellow as shall be heard from one end of the world to the other.” (Alban Butler.)
From Wallace Stevens, “The Latest Freed Man“:
It was how the sun came shining into his room:
To be without a description of to be,
For a moment on rising, at the edge of the bed, to be,
To have the ant of the self changed to an ox
With its organic boomings, to be changed
From a doctor into an ox, before standing up,
To know that the change and that the ox-like struggle
Come from the strength that is the strength of the sun,
Whether it comes directly or from the sun.
It was how he was free. It was how his freedom came.
It was being without description, being an ox.
Part II… The Rosy Cross
Readings:
- Brautigan, Richard, The Hawkline Monster, Simon and Schuster, 1974…
Just for the pleasure of reading it… A compelling work of fiction on spiritual matters that includes a conversion to Rosicrucianism in its concluding chapter. - Browning, Vivienne (Betty Coley, ed).
My Browning Family Album. With a Foreword by Ben Travers, and a Poem by Jack Lindsay Springwood, London, 1979…
The Rosicrucian tradition in Australia (highly relevant background reading for the 1994 film “Sirens”). Includes a mention of Aleister Crowley, dark mage, who also figures (prominently) in…. - Wilson, Robert Anton, Masks of the Illuminati, Pocket Books, April 1981…
James Joyce and Albert Einstein join in a metaphysical investigation.“He recited from the anonymous Muses Threnody of 1648:
For we be brethren of the Rosy Cross
We have the Mason Word and second sight
Things for to come we can see aright.”
Part III… Stevens Again
A major critical work on Wallace Stevens that is not unrelated to the above three works on the Rosicrucian tradition:
Leonora Woodman, Stanza My Stone: Wallace Stevens and the Hermetic Tradition, West Lafayette, Indiana: Purdue University Press, 1983
From the Department of English, Purdue University:
Leonora Woodman came to Purdue in 1976. In 1979, she became Director of Composition, a position she held until 1986…. At the time of her death in 1991, she was in the midst of an important work on modernist poetry, Literary Modernism and the Fourth Dimension: The Visionary Poetics of D.H. Lawrence, H.D., and Hart Crane.
For more on Gnostic Christianity, see
- Elaine Pagels, The Gnostic Gospels (Random House, 1979), and
- Harold Bloom, Omens of Millenium: The Gnosis of Angels, Dreams, and Resurrection (Riverhead Books, 1996).
Tuesday, October 15, 2002
Tuesday October 15, 2002
From the Archives:
On this date in 1971, “Rick Nelson was booed off the stage when he didn’t stick to all oldies at the seventh Annual Rock ’n’ Roll Revival show at Madison Square Garden, New York. He tried to slip in some of his new material and the crowd did not approve. The negative reaction to his performance inspired Nelson to write his last top-40 hit, ‘Garden Party,’ which hit the top-ten about a year after the Madison Square Garden debacle. ‘Garden Party,’ ironically, was Nelson’s biggest hit in years.”
“With a little effort, anything can be shown to connect with anything else: existence is infinitely cross-referenced.”
— Opening sentence of Martha Cooley’s The Archivist
|
Woe unto Isaiah 5:20 |
As she spoke |
The world Cole Porter |
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Actor Pat O’Brien died on this date in 1983.
“A man in Ireland, who came in contact with a Bible colporteur, at first repulsed him. Finally he was persuaded to take a Bible and later he said: ‘I read a wee bit out of the New Testament every day, and I pray to God every night and morning.’ When asked if it helped him to read God’s Word and to pray, he answered: ‘Indade it does. When I go to do anything wrong, I just say to myself, “Pat, you’ll be talking to God tonight.” That keeps me from doing it!'”
— worldmissions.org
colporteur
… noun…
Etymology: French, alteration of Middle French comporteur, from comporter to bear, peddle….
a peddler of religious books
Comments Off on Tuesday October 15, 2002
Tuesday, September 24, 2002
Tuesday September 24, 2002
The Shining of Lucero
From my journal note, “Shining Forth“:
The Spanish for “Bright Star” is “Lucero.”
The Eye of the Beholder:
When you stand in the dark and look at a star a hundred light years away, not only have the retarded light waves from the star been travelling for a hundred years toward your eyes, but also advanced waves from your eyes have reached a hundred years into the past to encourage the star to shine in your direction.
— John Cramer, “The Quantum Handshake“
From Broken Symmetries, by Paul Preuss, 1983:
He’d toyed with “psi” himself…. The reason he and so many other theoretical physicists were suckers for the stuff was easy to understand — for two-thirds of a century an enigma had rested at the heart of theoretical physics, a contradiction, a hard kernel of paradox….
Peter [Slater] had never thirsted after “hidden variables” to explain what could not be pictured. Mathematical relationships were enough to satisfy him, mere formal relationships which existed at all times, everywhere, at once. It was a thin nectar, but he was convinced it was the nectar of the gods.
……………… Those so-called crazy psychics were too sane, that was their problem — they were too stubborn to admit that the universe was already more bizarre than anything they could imagine in their wildest dreams of wizardry. (Ch. 16)
From Secret Passages, by Paul Preuss, 1997:
Minakis caught up and walked beside him in silence, moving with easy strides over the bare ground, listening as Peter [Slater] spoke. “Delos One was ten years ago — quantum theory seemed as natural as water to me then; I could play in it without a care. If I’d had any sense of history, I would have recognized that I’d swallowed the Copenhagen interpretation whole.”
“Back then, you insisted that the quantum world is not a world at all,” Minakis prompted him. “No microworld, only mathematical descriptions.”
“Yes, I was adamant. Those who protested were naive — one has to be willing to tolerate ambiguity, even to be crazy.”
“Bohr’s words?”
“The party line. Of course Bohr did say, ‘It is wrong to think that the task of physics is to find out how nature is. Physics concerns what we can say about nature.’ Meaning that when we start to talk what sounds like philosophy, our colleagues should rip us to pieces.” Peter smiled. “They smell my blood already.”
……………… Peter glanced at Minakis. “Let’s say there are indications — I have personal indications — not convincing, perhaps, but suggestive, that the quantum world penetrates the classical world deeply.” He was silent for a moment, then waved his hand at the ruins. “The world of classical physics, I mean. I suppose I’ve come to realize that the world is more than a laboratory.” “We are standing where Apollo was born,” Minakis said. “Leto squatted just there, holding fast to a palm tree, and after nine days of labor gave birth to the god of light and music….”
From my journal note, “A Mass for Lucero“:
To Lucero, in memory of
1962 in CuernavacaFrom On Beauty, by Elaine Scarry,
Princeton University Press, 1999 —“Homer sings of the beauty of particular things. Odysseus, washed up on shore, covered with brine, having nearly drowned, comes upon a human community and one person in particular, Nausicaa, whose beauty simply astonishes him. He has never anywhere seen a face so lovely; he has never anywhere seen any thing so lovely….
I have never laid eyes on anyone like you,
neither man nor woman…
I look at you and a sense of wonder takes me.Wait, once I saw the like —
in Delos, beside Apollo’s altar —
the young slip of a palm-tree
springing into the light.”
From Secret Passages, by Paul Preuss, 1997:
“When we try to look inside atoms,” Peter said, “not only can we not see what’s going on, we cannot even construct a coherent picture of what’s going on.”
“If you will forgive me, Peter,” Minakis said, turning to the others. “He means that we can construct several pictures — that light and matter are waves, for example, or that light and matter are particles — but that all these pictures are inadequate. What’s left to us is the bare mathematics of quantum theory.”
…. “Whatever the really real world is like, my friend, it is not what you might imagine.”
……………… Talking physics, Peter tended to bluntness. “Tell me more about this real world you imagine but can’t describe.”Minakis turned away from the view of the sunset. “Are you familiar with John Cramer’s transactional interpretation of quantum mechanics?”
“No I’m not.”
……………… “Read Cramer. I’ll give you his papers. Then we can talk.”
From John Cramer, “The Quantum Handshake“:
Advanced waves could perhaps, under the right circumstances, lead to “ansible-type” FTL communication favored by Le Guin and Card….
For more on Le Guin and Card, see my journal notes below.
For more on the meaning of “lucero,” see the Wallace Stevens poem “Martial Cadenza.”
Comments Off on Tuesday September 24, 2002
Thursday, September 19, 2002
Thursday September 19, 2002
William Golding
and the Lost Boys
Author William Golding was born on this date in 1911.
Theater review,
‘The Terrible Tragedy of Peter Pan’
at House Theatre in ChicagoBy Chris Jones
“J. M. Barrie’s famous 1904 tale of Peter Pan and the Lost Boys is fertile ground for post-modern exploration.”
See also the Stephen King novel
(Forget the movie, which does not even mention William Golding.)
For a somewhat more cheerful variation on the Lost Boys theme, see the new
Kingdom Hearts game.
Of course, mature audiences might react to this Disney production by recalling the classic question, “Why did Mickey Mouse divorce Minnie Mouse?”
See also the
Lord of the Flies game
at the Nobel Prize Foundation site.
Comments Off on Thursday September 19, 2002
Tuesday, August 6, 2002
Tuesday August 6, 2002
Veritatis Splendor
Black Holes
Conclusion of the Nobel Prize lecture of Subrahmanyan Chandrasekhar on December 8, 1983:
The mathematical theory of black holes is a subject of immense complexity; but its study has convinced me of the basic truth of the ancient mottoes,
The simple is the seal of the true
and
Beauty is the splendour of truth.
White Holes
Statement by Karol Wojtyla on August 6, 1993:
The splendour of truth shines forth in all the works of the Creator and, in a special way, in man, created in the image and likeness of God (cf. Gen 1:26).
Wojtyla, who apparently prefers folk-tales to truth, may appreciate the website White Hole Theory at the World University Library.
Is the Pope Catholic?
The World University Library furnishes an answer to the question that has long troubled many: Is the Pope Catholic?
According to Catholic.com,
The Greek roots of the term “Catholic” mean “according to (kata-) the whole (holos),” or more colloquially, “universal.”
Upon comparing the contents of the World University Library with the contents of Wojtyla’s 1993 statement, it becomes apparent that the World University Library is catholic (i.e., universal), but the Pope is not.
Comments Off on Tuesday August 6, 2002
Friday, July 19, 2002
Old Xanga post numbers
This WordPress page from 9:22 PM ET on Aug. 17, 2016,
gives id numbers of old Xanga posts for Log24 and user m759.
It is backdated to July 19, 2002, the day before the first post in
this WordPress weblog, so it will not appear before other posts
in searches of the weblog.
Wednesday, July 31, 2002
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Tuesday, July 30, 2002
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Friday, July 26, 2002
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Thursday, December 05, 2002
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Wednesday, December 04, 2002
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Monday, December 02, 2002
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Monday, January 20, 2003
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Saturday, January 18, 2003
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Tuesday, January 14, 2003
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Tuesday, January 14, 2003
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Sunday, January 12, 2003
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Friday, January 10, 2003
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Thursday, January 09, 2003
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Monday, January 06, 2003
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Sunday, January 05, 2003
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Tuesday, February 25, 2003
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Tuesday, February 25, 2003
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Thursday, February 20, 2003
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Tuesday, February 18, 2003
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Monday, February 17, 2003
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Sunday, February 16, 2003
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Thursday, February 13, 2003
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Monday, February 10, 2003
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Sunday, February 09, 2003
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Thursday, February 06, 2003
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Monday, March 31, 2003
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Thursday, March 27, 2003
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Monday, March 24, 2003
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Wednesday, March 19, 2003
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Thursday, March 13, 2003
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Wednesday, March 12, 2003
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Monday, March 10, 2003
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Thursday, March 06, 2003
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Wednesday, March 05, 2003
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Tuesday, March 04, 2003
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Sunday, March 02, 2003
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Wednesday, April 30, 2003
Tuesday, April 29, 2003
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Monday, April 28, 2003
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Friday, April 25, 2003
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Thursday, April 24, 2003
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Wednesday, April 23, 2003
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Tuesday, April 22, 2003
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Monday, April 21, 2003
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Sunday, April 20, 2003
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Saturday, April 19, 2003
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Friday, April 18, 2003
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Thursday, April 17, 2003
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Wednesday, April 16, 2003
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Tuesday, April 15, 2003
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Tuesday, April 15, 2003
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Sunday, April 13, 2003
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Saturday, April 12, 2003
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Friday, April 11, 2003
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Wednesday, April 09, 2003
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Tuesday, April 08, 2003
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Monday, April 07, 2003
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Saturday, April 05, 2003
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Thursday, April 03, 2003
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Wednesday, April 02, 2003
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Wednesday, May 28, 2003
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Sunday, May 25, 2003
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Saturday, May 24, 2003
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Wednesday, May 21, 2003
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Thursday, May 15, 2003
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Friday, May 02, 2003
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Thursday, May 01, 2003
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Friday, June 20, 2003
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Wednesday, June 18, 2003
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Sunday, June 01, 2003
<strong><font size="3">Thursday, May 29,
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Friday, July 25, 2003
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Thursday, July 24, 2003
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Tuesday, August 19, 2003
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Monday, August 18, 2003
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Tuesday, September 30, 2003
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Sunday, October 26, 2003
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Saturday, October 25, 2003
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Wednesday, October 15, 2003
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Saturday, October 11, 2003
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Friday, October 10, 2003
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Wednesday, October 08, 2003
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Tuesday, October 07, 2003
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Sunday, October 05, 2003
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Saturday, October 04, 2003
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Friday, October 03, 2003
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Thursday, October 02, 2003
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Saturday, November 29, 2003
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Friday, November 28, 2003
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Tuesday, November 25, 2003
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Tuesday, November 25, 2003
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Monday, November 24, 2003
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Sunday, November 23, 2003
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Saturday, November 22, 2003
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Friday, November 21, 2003
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Thursday, November 20, 2003
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Wednesday, November 19, 2003
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Monday, November 17, 2003
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Sunday, November 16, 2003
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Saturday, November 15, 2003
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Friday, November 14, 2003
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Tuesday, November 04, 2003
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Wednesday, December 31, 2003
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Monday, December 22, 2003
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Sunday, December 21, 2003
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Friday, December 19, 2003
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Wednesday, December 17, 2003
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Tuesday, December 16, 2003
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Saturday, December 13, 2003
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Thursday, December 11, 2003
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Wednesday, December 10, 2003
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Tuesday, December 09, 2003
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Sunday, December 07, 2003
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Sunday, December 07, 2003
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Friday, December 05, 2003
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Saturday, January 31, 2004
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Thursday, January 29, 2004
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Wednesday, January 28, 2004
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Monday, January 26, 2004
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Thursday, January 22, 2004
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Tuesday, January 20, 2004
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Sunday, January 18, 2004
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Saturday, January 17, 2004
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Friday, January 16, 2004
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Wednesday, January 14, 2004
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Wednesday, January 14, 2004
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Sunday, January 11, 2004
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Friday, January 09, 2004
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Thursday, January 08, 2004
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Monday, January 05, 2004
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Sunday, January 04, 2004
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Thursday, February 26, 2004
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Wednesday, February 25, 2004
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Thursday, February 12, 2004
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Wednesday, February 11, 2004
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Tuesday, February 10, 2004
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Friday, February 06, 2004
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Thursday, February 05, 2004
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Tuesday, February 03, 2004
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Monday, February 02, 2004
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Wednesday, March 31, 2004
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Tuesday, March 30, 2004
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Tuesday, March 30, 2004
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Sunday, March 28, 2004
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Saturday, March 27, 2004
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Tuesday, March 23, 2004
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Monday, March 22, 2004
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Sunday, March 21, 2004
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Saturday, March 20, 2004
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Friday, March 19, 2004
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Thursday, March 18, 2004
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Wednesday, March 17, 2004
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Tuesday, March 16, 2004
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Monday, March 15, 2004
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Monday, March 15, 2004
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Sunday, March 14, 2004
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Saturday, March 13, 2004
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Saturday, March 13, 2004
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Friday, March 12, 2004
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Thursday, March 11, 2004
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Thursday, March 11, 2004
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Wednesday, March 10, 2004
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Sunday, March 07, 2004
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Saturday, March 06, 2004
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Friday, March 05, 2004
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Thursday, March 04, 2004
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Wednesday, March 03, 2004
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Wednesday, March 03, 2004
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Tuesday, March 02, 2004
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Friday, April 30, 2004
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Thursday, April 29, 2004
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Wednesday, April 28, 2004
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Tuesday, April 27, 2004
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Tuesday, April 27, 2004
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Monday, April 26, 2004
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Sunday, April 25, 2004
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Friday, April 23, 2004
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Thursday, April 22, 2004
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Wednesday, April 21, 2004
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Tuesday, April 20, 2004
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Monday, April 19, 2004
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Sunday, April 18, 2004
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Friday, April 16, 2004
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Thursday, April 15, 2004
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Wednesday, April 14, 2004
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Tuesday, April 13, 2004
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Sunday, April 11, 2004
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Saturday, April 10, 2004
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Friday, April 09, 2004
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Friday, April 09, 2004
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Thursday, April 08, 2004
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Wednesday, April 07, 2004
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Tuesday, April 06, 2004
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Monday, April 05, 2004
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Sunday, April 04, 2004
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Friday, April 02, 2004
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Thursday, April 01, 2004
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Monday, May 31, 2004
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Thursday, May 27, 2004
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Saturday, May 22, 2004
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Friday, May 21, 2004
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Friday, May 21, 2004
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Thursday, May 20, 2004
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Wednesday, May 19, 2004
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Saturday, May 15, 2004
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Saturday, May 15, 2004
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Friday, May 14, 2004
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Thursday, May 13, 2004
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Wednesday, May 12, 2004
Tuesday, May 11, 2004
Monday, May 10, 2004
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Saturday, May 08, 2004
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Friday, May 07, 2004
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Wednesday, May 05, 2004
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Tuesday, May 04, 2004
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Monday, May 03, 2004
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Sunday, May 02, 2004
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Saturday, May 01, 2004
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Saturday, May 01, 2004
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Tuesday, June 29, 2004
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Sunday, June 27, 2004
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Saturday, June 26, 2004
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Friday, June 25, 2004
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Tuesday, June 22, 2004
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Thursday, June 17, 2004
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Wednesday, June 16, 2004
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Tuesday, June 15, 2004
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Sunday, June 13, 2004
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Saturday, June 12, 2004
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Friday, June 11, 2004
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Tuesday, June 08, 2004
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Sunday, June 06, 2004
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Sunday, June 06, 2004
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Saturday, June 05, 2004
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Friday, June 04, 2004
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Thursday, June 03, 2004
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Tuesday, June 01, 2004
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Tuesday, June 01, 2004
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Saturday, July 31, 2004
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Thursday, July 29, 2004
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Wednesday, July 28, 2004
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Tuesday, July 27, 2004
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Monday, July 26, 2004
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Monday, July 26, 2004
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Sunday, July 25, 2004
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Saturday, July 24, 2004
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Friday, July 23, 2004
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Sunday, July 18, 2004
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Saturday, July 17, 2004
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Thursday, July 15, 2004
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Thursday, July 15, 2004
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Wednesday, July 14, 2004
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Monday, July 12, 2004
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Sunday, July 11, 2004
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Saturday, July 10, 2004
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Friday, July 09, 2004
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Thursday, July 08, 2004
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Thursday, July 08, 2004
Wednesday, July 07, 2004
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Friday, July 02, 2004
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Friday, July 02, 2004
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Thursday, July 01, 2004
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Tuesday, August 31, 2004
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Monday, August 30, 2004
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Sunday, August 29, 2004
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Saturday, August 28, 2004
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Sunday, August 22, 2004
Thursday, August 19, 2004
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Wednesday, August 18, 2004
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Tuesday, August 17, 2004
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Tuesday, August 17, 2004
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Monday, August 16, 2004
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Sunday, August 15, 2004
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Thursday, August 12, 2004
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Wednesday, August 11, 2004
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Tuesday, August 10, 2004
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Monday, August 09, 2004
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Monday, August 09, 2004
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Sunday, August 08, 2004
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Saturday, August 07, 2004
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Friday, August 06, 2004
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Tuesday, August 03, 2004
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Tuesday, August 03, 2004
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Monday, August 02, 2004
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Sunday, August 01, 2004
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Thursday, September 30, 2004
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Wednesday, September 29, 2004
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Wednesday, September 29, 2004
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Tuesday, September 28, 2004
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Monday, September 27, 2004
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Sunday, September 26, 2004
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Saturday, September 25, 2004
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Thursday, September 23, 2004
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Wednesday, September 22, 2004
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Wednesday, September 22, 2004
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Tuesday, September 21, 2004
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Monday, September 20, 2004
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Saturday, September 18, 2004
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Friday, September 17, 2004
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Wednesday, September 15, 2004
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Tuesday, September 14, 2004
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Monday, September 13, 2004
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Saturday, September 11, 2004
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Friday, September 10, 2004
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Monday, September 06, 2004
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Sunday, September 05, 2004
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<a name="1" target="_new"></a><big><b><font
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<a name="3" target="_new"></a><big><b><font
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Wednesday, September 01, 2004
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Thursday, October 28, 2004
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Sunday, October 24, 2004
Saturday, October 23, 2004
Thursday, October 21, 2004
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Monday, October 18, 2004
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Wednesday, October 13, 2004
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Tuesday, October 12, 2004
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Tuesday, October 12, 2004
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Sunday, October 10, 2004
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Saturday, October 09, 2004
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Friday, October 08, 2004
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Thursday, October 07, 2004
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Wednesday, October 06, 2004
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Tuesday, October 05, 2004
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Monday, October 04, 2004
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Friday, October 01, 2004
Friday, October 01, 2004
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Friday, November 26, 2004
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Wednesday, November 24, 2004
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Sunday, November 21, 2004
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Sunday, November 21, 2004
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Saturday, November 20, 2004
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Thursday, November 11, 2004
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Tuesday, November 09, 2004
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Monday, November 08, 2004
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Tuesday, November 02, 2004
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Wednesday, December 22, 2004
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Thursday, December 16, 2004
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Wednesday, December 15, 2004
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Monday, December 13, 2004
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Friday, December 10, 2004
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Wednesday, December 08, 2004
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Tuesday, December 07, 2004
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Tuesday, December 07, 2004
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Monday, December 06, 2004
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Saturday, December 04, 2004
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Friday, December 03, 2004
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Thursday, December 02, 2004
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Wednesday, January 26, 2005
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Tuesday, January 25, 2005
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Wednesday, January 19, 2005
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Tuesday, January 18, 2005
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Sunday, January 16, 2005
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Friday, January 14, 2005
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Thursday, January 13, 2005
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Monday, January 10, 2005
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Sunday, January 09, 2005
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Saturday, January 08, 2005
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Saturday, January 08, 2005
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Wednesday, March 30, 2005
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Monday, March 28, 2005
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Sunday, March 27, 2005
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Saturday, March 26, 2005
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Wednesday, March 23, 2005
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Tuesday, March 22, 2005
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Thursday, March 17, 2005
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Wednesday, March 16, 2005
Tuesday, March 15, 2005
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Tuesday, May 03, 2005
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Thursday, April 28, 2005
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Tuesday, April 26, 2005
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Monday, April 04, 2005
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Saturday, April 02, 2005
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Tuesday, May 31, 2005
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Thursday, May 26, 2005
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Wednesday, May 25, 2005
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Tuesday, May 24, 2005
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Monday, May 23, 2005
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Sunday, May 22, 2005
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Saturday, May 21, 2005
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Wednesday, May 18, 2005
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Wednesday, May 18, 2005
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Saturday, May 14, 2005
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Friday, May 13, 2005
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Wednesday, May 11, 2005
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Monday, May 09, 2005
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Sunday, May 08, 2005
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Sunday, May 08, 2005
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Friday, May 06, 2005
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Wednesday, May 04, 2005
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Tuesday, May 03, 2005
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Monday, May 02, 2005
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Thursday, June 30, 2005
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Monday, June 27, 2005
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Monday, June 27, 2005
Sunday, June 26, 2005
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Saturday, June 25, 2005
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Friday, June 24, 2005
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Thursday, June 23, 2005
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Tuesday, June 21, 2005
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Sunday, June 19, 2005
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Friday, June 17, 2005
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Thursday, June 16, 2005
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Sunday, May 28, 2006
<a
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Saturday, July 29, 2006
513643454 5:01 PM
Saturday, July 29, 2006
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Thursday, July 27, 2006
513003954 9:29 PM
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Wednesday, July 26, 2006
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Monday, July 24, 2006
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Sunday, July 23, 2006
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Saturday, July 22, 2006
511144095 9:00 PM
Friday, July 21, 2006
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Thursday, July 20, 2006
510208105 2:00 AM
Tuesday, July 18, 2006
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Monday, July 17, 2006
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Sunday, July 16, 2006
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Saturday, July 15, 2006
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Saturday, July 15, 2006
508370268 12:00 AM
Friday, July 14, 2006
Thursday, July 13, 2006
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507935537 4:00 PM
Thursday, July 13, 2006
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Wednesday, July 12, 2006
507402580 9:00 AM
Tuesday, July 11, 2006
507237606 9:11 PM
507226063 8:15 PM
Tuesday, July 11, 2006
507143872 2:11 PM
Monday, July 10, 2006
506543837 2:48 AM
Sunday, July 09, 2006
506282052 11:00 AM
Saturday, July 08, 2006
506011477 2:01 PM
Friday, July 07, 2006
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Friday, July 07, 2006
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Thursday, July 06, 2006
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Wednesday, July 05, 2006
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Wednesday, July 05, 2006
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Monday, July 03, 2006
504270660 11:07 PM
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Monday, July 03, 2006
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Sunday, July 02, 2006
503857043 8:00 PM
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Saturday, July 01, 2006
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Saturday, July 01, 2006
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Thursday, August 31, 2006
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Wednesday, August 30, 2006
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Tuesday, August 29, 2006
524130702 7:21 PM
Tuesday, August 29, 2006
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Monday, August 28, 2006
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Sunday, August 27, 2006
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Saturday, August 26, 2006
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Friday, August 25, 2006
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Thursday, August 24, 2006
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Wednesday, August 23, 2006
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Tuesday, August 22, 2006
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Monday, August 21, 2006
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Saturday, August 19, 2006
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Thursday, August 17, 2006
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Monday, August 14, 2006
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Monday, August 14, 2006
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Sunday, August 13, 2006
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Friday, August 11, 2006
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Friday, August 11, 2006
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Wednesday, August 09, 2006
517600182 10:00 PM
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Tuesday, August 08, 2006
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Tuesday, August 08, 2006
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Monday, August 07, 2006
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Sunday, August 06, 2006
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Saturday, August 05, 2006
516078074 2:00 PM
Saturday, August 05, 2006
515909977 2:20 AM
Friday, August 04, 2006
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Friday, August 04, 2006
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Thursday, August 03, 2006
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Wednesday, August 02, 2006
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Tuesday, August 01, 2006
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Sunday, October 01, 2006
534264268 6:00 PM
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Saturday, September 30, 2006
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Friday, September 29, 2006
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Thursday, September 28, 2006
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Tuesday, September 26, 2006
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Tuesday, September 26, 2006
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Monday, September 25, 2006
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Saturday, September 23, 2006
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Friday, September 22, 2006
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Thursday, September 21, 2006
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Wednesday, September 20, 2006
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Tuesday, September 19, 2006
530561687 10:00 AM
Monday, September 18, 2006
530343679 1:00 PM
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Sunday, September 17, 2006
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Saturday, September 16, 2006
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Friday, September 15, 2006
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Thursday, September 14, 2006
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Wednesday, September 13, 2006
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Monday, September 11, 2006
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Sunday, September 10, 2006
527898122 2:56 PM
Sunday, September 10, 2006
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Saturday, September 09, 2006
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Friday, September 08, 2006
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Thursday, September 07, 2006
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Thursday, September 07, 2006
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Wednesday, September 06, 2006
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Tuesday, September 05, 2006
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Monday, September 04, 2006
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Monday, September 04, 2006
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Sunday, September 03, 2006
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Saturday, September 02, 2006
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Friday, September 01, 2006
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Tuesday, October 31, 2006
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Monday, October 30, 2006
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Sunday, October 29, 2006
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Saturday, October 28, 2006
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Saturday, October 28, 2006
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Friday, October 27, 2006
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Thursday, October 26, 2006
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Wednesday, October 25, 2006
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Tuesday, October 24, 2006
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Tuesday, October 24, 2006
540889575 2:56 PM
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Monday, October 23, 2006
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Sunday, October 22, 2006
540398938 11:59 PM
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Sunday, October 22, 2006
540329304 5:01 PM
540206189 9:00 AM
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Saturday, October 21, 2006
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Friday, October 20, 2006
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Friday, October 20, 2006
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Thursday, October 19, 2006
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Wednesday, October 18, 2006
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Tuesday, October 17, 2006
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Monday, October 16, 2006
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Sunday, October 15, 2006
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Saturday, October 14, 2006
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Saturday, October 14, 2006
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Friday, October 13, 2006
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Thursday, October 12, 2006
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Wednesday, October 11, 2006
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Tuesday, October 10, 2006
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Tuesday, October 10, 2006
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Monday, October 09, 2006
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Sunday, October 08, 2006
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Saturday, October 07, 2006
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Friday, October 06, 2006
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Friday, October 06, 2006
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Thursday, October 05, 2006
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Wednesday, October 04, 2006
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Tuesday, October 03, 2006
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Monday, October 02, 2006
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Sunday, October 01, 2006
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Tuesday, November 28, 2006
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Monday, November 27, 2006
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Sunday, November 26, 2006
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Saturday, November 25, 2006
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Friday, November 24, 2006
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Wednesday, November 22, 2006
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Tuesday, November 21, 2006
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Monday, November 20, 2006
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Sunday, November 19, 2006
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Saturday, November 18, 2006
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Thursday, November 16, 2006
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Thursday, November 16, 2006
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Wednesday, November 15, 2006
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Monday, November 13, 2006
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Sunday, November 12, 2006
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Sunday, November 12, 2006
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Friday, November 10, 2006
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Friday, November 10, 2006
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Thursday, November 09, 2006
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Wednesday, November 08, 2006
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Tuesday, November 07, 2006
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Tuesday, November 07, 2006
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Monday, November 06, 2006
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Sunday, November 05, 2006
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Saturday, November 04, 2006
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Friday, November 03, 2006
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Thursday, November 02, 2006
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Wednesday, November 01, 2006
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Sunday, December 31, 2006
559841270 8:00 PM
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559837123 7:14 PM
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Friday, December 29, 2006
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Wednesday, December 27, 2006
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Tuesday, December 26, 2006
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Monday, December 25, 2006
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Monday, December 25, 2006
Sunday, December 24, 2006
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Saturday, December 23, 2006
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Thursday, December 21, 2006
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Wednesday, December 20, 2006
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Tuesday, December 19, 2006
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Monday, December 18, 2006
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Saturday, December 16, 2006
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Friday, December 15, 2006
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Thursday, December 14, 2006
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Wednesday, December 13, 2006
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Tuesday, December 12, 2006
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Monday, December 11, 2006
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Sunday, December 10, 2006
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Sunday, December 10, 2006
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Saturday, December 09, 2006
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Friday, December 08, 2006
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Thursday, December 07, 2006
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Wednesday, December 06, 2006
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Tuesday, December 05, 2006
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Monday, December 04, 2006
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Sunday, December 03, 2006
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Saturday, December 02, 2006
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Saturday, December 02, 2006
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Friday, December 01, 2006
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Wednesday, January 31, 2007
567016831 3:09 PM
Monday, January 29, 2007
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Saturday, January 27, 2007
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Friday, January 26, 2007
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Wednesday, January 24, 2007
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Tuesday, January 23, 2007
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Monday, January 22, 2007
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Sunday, January 21, 2007
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Saturday, January 20, 2007
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Friday, January 19, 2007
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Tuesday, January 09, 2007
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Sunday, January 07, 2007
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Saturday, January 06, 2007
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Friday, January 05, 2007
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Thursday, January 04, 2007
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Wednesday, January 03, 2007
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Tuesday, January 02, 2007
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Monday, January 01, 2007
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Wednesday, February 28, 2007
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Tuesday, February 27, 2007
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Monday, February 26, 2007
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Sunday, February 25, 2007
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Sunday, February 25, 2007
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Tuesday, February 20, 2007
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Sunday, February 18, 2007
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Saturday, February 17, 2007
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Friday, February 16, 2007
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Thursday, February 15, 2007
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Tuesday, February 13, 2007
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Monday, February 12, 2007
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Sunday, February 11, 2007
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Saturday, February 10, 2007
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Friday, February 09, 2007
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Wednesday, February 07, 2007
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Tuesday, February 06, 2007
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Sunday, February 04, 2007
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Saturday, February 03, 2007
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Saturday, February 03, 2007
Friday, February 02, 2007
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Thursday, February 01, 2007
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Saturday, March 31, 2007
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Friday, March 30, 2007
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Wednesday, March 28, 2007
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Saturday, March 24, 2007
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Thursday, March 22, 2007
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Wednesday, March 21, 2007
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Wednesday, March 21, 2007
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Monday, March 19, 2007
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Sunday, March 18, 2007
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Saturday, March 17, 2007
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Friday, March 16, 2007
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Thursday, March 15, 2007
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Wednesday, March 14, 2007
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Saturday, March 10, 2007
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Friday, March 09, 2007
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Thursday, March 08, 2007
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Wednesday, March 07, 2007
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Sunday, March 04, 2007
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Saturday, March 03, 2007
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Friday, March 02, 2007
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Thursday, March 01, 2007
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Monday, April 30, 2007
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Sunday, April 29, 2007
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Saturday, April 28, 2007
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Friday, April 27, 2007
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Wednesday, April 25, 2007
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Tuesday, April 24, 2007
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Monday, April 23, 2007
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Monday, April 23, 2007
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Sunday, April 22, 2007
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Saturday, April 21, 2007
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Friday, April 20, 2007
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Friday, April 20, 2007
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Thursday, April 19, 2007
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Wednesday, April 18, 2007
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Monday, April 16, 2007
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Sunday, April 15, 2007
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Sunday, April 15, 2007
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Saturday, April 14, 2007
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Saturday, April 14, 2007
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Friday, April 13, 2007
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Thursday, April 12, 2007
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Wednesday, April 11, 2007
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Monday, April 09, 2007
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Monday, April 09, 2007
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Sunday, April 08, 2007
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Saturday, April 07, 2007
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Friday, April 06, 2007
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Thursday, April 05, 2007
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Wednesday, April 04, 2007
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Tuesday, April 03, 2007
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Monday, April 02, 2007
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Sunday, April 01, 2007
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Thursday, May 31, 2007
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Wednesday, May 30, 2007
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Monday, May 28, 2007
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Sunday, May 27, 2007
Saturday, May 26, 2007
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Friday, May 25, 2007
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Thursday, May 24, 2007
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Wednesday, May 23, 2007
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Tuesday, May 22, 2007
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Monday, May 21, 2007
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Monday, May 21, 2007
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Sunday, May 20, 2007
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Saturday, May 19, 2007
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Friday, May 18, 2007
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Thursday, May 17, 2007
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Wednesday, May 16, 2007
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Tuesday, May 15, 2007
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Monday, May 14, 2007
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Sunday, May 13, 2007
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Sunday, May 13, 2007
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Saturday, May 12, 2007
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Friday, May 11, 2007
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Friday, May 11, 2007
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Thursday, May 10, 2007
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Wednesday, May 09, 2007
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Tuesday, May 08, 2007
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Monday, May 07, 2007
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Sunday, May 06, 2007
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Sunday, May 06, 2007
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Friday, May 04, 2007
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Thursday, May 03, 2007
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Tuesday, May 01, 2007
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Saturday, June 30, 2007
601100365 10:04 PM
601043057 1:00 PM
Thursday, June 28, 2007
600688241 9:00 PM
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Wednesday, June 27, 2007
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Monday, June 25, 2007
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Sunday, June 24, 2007
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Saturday, June 23, 2007
599580117 6:00 PM
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Friday, June 22, 2007
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Thursday, June 21, 2007
599162672 9:57 PM
599135588 4:30 PM
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Wednesday, June 20, 2007
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Tuesday, June 19, 2007
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Monday, June 18, 2007
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Monday, June 18, 2007
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Sunday, June 17, 2007
598362900 7:00 PM
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Saturday, June 16, 2007
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Saturday, June 16, 2007
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Friday, June 15, 2007
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Thursday, June 14, 2007
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Thursday, June 14, 2007
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Wednesday, June 13, 2007
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Wednesday, June 13, 2007
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Tuesday, June 12, 2007
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597252546 2:00 PM
Monday, June 11, 2007
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Sunday, June 10, 2007
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Sunday, June 10, 2007
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Saturday, June 09, 2007
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Friday, June 08, 2007
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Thursday, June 07, 2007
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Thursday, June 07, 2007
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Wednesday, June 06, 2007
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Tuesday, June 05, 2007
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Sunday, June 03, 2007
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595234110 10:31 AM
Saturday, June 02, 2007
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Tuesday, July 31, 2007
607246376 7:11 AM
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Monday, July 30, 2007
607164258 7:00 PM
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Monday, July 30, 2007
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607042018 7:00 AM
Sunday, July 29, 2007
606867417 9:00 AM
606858987 8:00 AM
Sunday, July 29, 2007
606858846 7:59 AM
Saturday, July 28, 2007
606672190 6:15 AM
Thursday, July 26, 2007
606271827 4:00 AM
Wednesday, July 25, 2007
606111937 9:00 AM
Tuesday, July 24, 2007
605893580 7:11 AM
Monday, July 23, 2007
605698535 8:00 AM
605698073 7:59 AM
Saturday, July 21, 2007
605340686 9:45 AM
Thursday, July 19, 2007
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Thursday, July 19, 2007
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Wednesday, July 18, 2007
604847943 6:28 PM
604724768 7:03 AM
Tuesday, July 17, 2007
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Monday, July 16, 2007
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Sunday, July 15, 2007
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Saturday, July 14, 2007
603896105 4:07 AM
Friday, July 13, 2007
603712325 7:00 AM
Thursday, July 12, 2007
603629730 7:00 PM
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Wednesday, July 11, 2007
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Tuesday, July 10, 2007
603081833 9:00 AM
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Comments Off on Old Xanga post numbers
October 11th, 2007 at 1:38 am
once we reach the point at which the templeton foundation – or any other private sponsor for that matter – is the main source of funding in a certain area of science it would be time for society to react. react by outdoing the private source and thus claiming the research topic in question firmly back into the public domain.
if society chooses to be oblivious – well – then so be it. research in that area will then not be driven by public interest but by private interest. ultimately it is just a reflection of the value commonly assigned to a specific field.
what i hope this will ultimately achieve is to ring the alarm bell in society that no private organization should take over research funding and direction.
if this will not happen – well – then we are kind of lost anyways. and funding no matter what agenda behind is still better than no funding, since i firmly believe that ultimately the truth (i.e. true statements about reproducible empirical relations) will ultimately prevail and nothing else.
October 11th, 2007 at 3:53 pm
Chris says the truth consists of “true statements about reproducible empirical relations.” He should read William Golding’s Nobel lecture: “When I consider a universe which the scientist constructs by a set of rules which stipulate that this construct must be repeatable and identical, then I am a pessimist and bow down before the great god Entropy. I am optimistic when I consider the spiritual dimension which the scientist’s discipline forces him to ignore.”