Log24

Saturday, October 21, 2023

For St. Ursula’s Day

Filed under: General — m759 @ 4:28 am

Click to enlarge.

The time loom engineer in "Loki" (Season 2, Episode 3, Oct. 19, 2023) —

"We need to scale the Loom’s capacity to manage
all those new branches, otherwise it will fail."

Ursula K. Le Guin in "Schrödinger's Cat" —

“Where is the cat?” he asked at last.

“Where is the box?”

“Here.”

“Where’s here?”

“Here is now.”

“We used to think so,” I said, “but really we should use larger boxes.”

Saturday, April 20, 2019

Meditation on St. Ursula’s Day

Filed under: General — Tags: — m759 @ 12:21 pm

Edifice Complex 

A Doll's House

Somebody Doesn't Like Sara Lee

Dialogue and Story Points —

Thursday, October 21, 2010

St. Ursula’s Day

Filed under: General,Geometry — Tags: , — m759 @ 4:07 pm

Mathematics and Narrative continued

A search for Ursula in this journal yields a story…

“The main character is a slave woman who discovers new patterns in the mosaics.”

Other such stories: Plato’s Meno  and Changing Woman

Changing Woman:

“Kaleidoscope turning…

Juliette Binoche in 'Blue'  The 24 2x2 Cullinane Kaleidoscope animated images

Shifting pattern within
unalterable structure…”

— Roger Zelazny, Eye of Cat  

Philosophical postscript—

“That Lévi-Strauss should have been able to transmute the romantic passion of Tristes Tropiques  into the hypermodern intellectualism of La Pensée Sauvage  is surely a startling achievement. But there remain the questions one cannot help but ask. Is this transmutation science or alchemy? Is the ‘very simple transformation’ which produced a general theory out of a personal disappointment real or a sleight of hand? Is it a genuine demolition of the walls which seem to separate mind from mind by showing that the walls are surface structures only, or is it an elaborately disguised evasion necessitated by a failure to breach them when they were directly encountered? Is Lévi-Strauss writing, as he seems to be claiming in the confident pages of La Pensée Sauvage,  a prolegomenon to all future anthropology? Or is he, like some uprooted neolithic intelligence cast away on a reservation, shuffling the debris of old traditions in a vain attempt to revivify a primitive faith whose moral beauty is still apparent but from which both relevance and credibility have long since departed?”

— Clifford Geertz, conclusion of “The Cerebral Savage: On the Work of Claude Lévi-Strauss

Wednesday, October 21, 2009

For the Feast of St. Ursula

Filed under: General — m759 @ 1:00 pm

The Tale of the British Virgins

Ursula Andress in 'Dr. No'

Related material:

Yesterday’s Dr. No entry
and a story by
Christine Dell’Amore

Saturday, October 21, 2023

Chapter 11 Continues: A Larger Box

Filed under: General — Tags: , , — m759 @ 12:00 pm

"… really we should use larger boxes." — Ursula K. Le Guin

"The Steiner system S (5, 8, 24) is a block design
made up of 24 points and 759 blocks, each of size 8,
with the property that every 5 points lie in exactly one block.
This design is naturally associated with the Golay code, and
its automorphism group is the simple Mathieu group M24;
see [3, Ch. 11].

3.  J.H. Conway and N.J.A. Sloane, Sphere Packings,
     Lattices and Groups
, Springer-Verlag, New York, 1988."

New Zealand Journal of Mathematics,
Volume 25 (1996), 133-139.
"Markings of the Golay Code," by
Marston Conder and John McKay.
(Received July 1995.)

See also the Harlan Kane Special from Broomsday 2023.
That post relates properties of the 4×4 box (Cullinane, 1979)
to those of the 4×6 box (Conway and Sloane, 1988, without
mention of Cullinane 1979).

Thursday, November 10, 2022

For Students of the Forked Tongue

Filed under: General — Tags: , , , — m759 @ 11:42 am

Robert Langdon (played by Tom Hanks) and a corner of Solomon's Cube

The above 1975 book by Robert Greer Cohn, Modes of Art, is
Volume I of a planned three-volume work.

The passage below is from a review of Cohn's Vol. II, Ways of Art — 

Franklin, Ursula (1987) "Book Review: A Critical Work II.
Ways of Art: Literature. Music, Painting in France 
,"
Grand Valley Review : Vol. 3: Iss. 1, Article 19. Available at: http://scholarworks.gvsu.edu/gvr/vol3/iss1/19 .

. . . .

Those not familiar with the author's epistemology should begin with Appendix A of Ways of Art , a schematic demonstration of his tetrapolar-polypolar-dialectic, especially as it concerns the development of the French novel within the European tradition. But this dialectic, which has antecedents in Kierkegaard, Mallarme and Joyce, underlies all art, because: "this dimensional pulsation, or tetrapolar (and polypolar) higher vibrancy is, in short, the stuff of life: life is vibrant in this more complex way as well as in the more bipolar sense" (7). Cohn shows that "far out enough" the male or linear and the female or circular, the male vertical and the female horizontal dimensions "tend to merge as in relativity theory" (19). Ways of Art  shows us the way through a historical becoming of art in its complex dialectic in which the metonymic (horizontal) axis constantly interrelates with the metaphoric (vertical). "Life is the mother, art the father" (vii); hence Cohn's quarrel with most contemporary Feminism, which is pronounced throughout the volume. Firmly grounded in its author's tetra-polypolar epistemology, this beautiful book becomes, however, at no point dryly abstract; it is the mature work of a true humanist who stands in clear and open opposition to the dehumanizing trend of "the quasi-scientific reductionism and abstract gimmickry of a great deal of current academic literary study, bellwethered by the structuralists, post-structuralists, and deconstructionists" (vi). Abundant footnotes constitute a substantial part of Ways of Art , on occasion developing insights almost into essays demonstrating crucial points along the general flow of the tradition from "Obscure Beginnings;' the opening chapter, to our "Contemporaries;' the last.

Cohn reminds us that "In the Beginning was the Word;' for the Judaeo-Christian tradition at least, which his study fervently embraces; thus, for example, in Appendix 0 on "The Dance of the Sexes;' he censures "those who live by slogans, camps, and peer-opinion, the countless little bastard cults which characterize an era which has massively veered away from our free and beautiful Greco-Judaeo-Christian tradition" (332). Cohn traces man's way and that of his myths and rituals culminating in his art from that beginning along the lines of Freud, Neumann and Cassirer, and many others, always demonstrating the underlying polypolar dialectical rhythm. Thus in "From Barbarism to Young Culture;' we follow the Celts to Druidic ritual, Hebrew beginnings to the Psalms, Dionysian ritual to Greek tragedy, and thence to the beginnings of French dramatic literature originating in the Quem quaeritis sequence of the medieval Mass. Along the way arises artistic symbolism, for Cohn synonymous with "effective poetry;' to finally "ripen in France as never before" (99). Table I (134) graphs this development from the twelfth to the late nineteenth and early twentieth centuries. The author traces the rise of the artistic vocation from its antecedents in the double function of bard and priest, with the figure of Ronsard at the crossroads of that dying institution and the nascent concept of personal glory. "The Enlightenment Vocation" is exemplified in Montaigne, who humanizes the French cultural elite and points the way to French classicism and, farther down the road, after the moral collapse with the outgoing reign of Louis XIV, toward the Age of Reason. Clearly the most significant figure of the French Enlightenment for all of Western civilization is Rousseau, and Cohn beautifully shows us why this is so. Subsequently, "the nineteenth-century stage of the writer's journey will lead, starting from the crossroads of Rousseau, primarily in these two directions: the imperialistic and visionary prose of Balzac, the equally ambitious poetry of Mallarme", brothers under the skin" (199). And these two paths will then be reconciled in Proust's monumental A la recherche du temps perdu .

. . . .

Sunday, May 8, 2022

In Memory of a Comic-Book Artist . . .

Filed under: General — Tags: , , — m759 @ 3:28 pm

… who reportedly died on Friday, May 6, 2022.

See as well Wonder Woman in this  journal.

Wednesday, October 2, 2019

Social Climbing

Filed under: General — Tags: — m759 @ 2:13 pm

"When the queen came, they said she was wanton.
Or a witch, or a saint."

Ursula Whitcher,  "Alphabet of Signs"

Related images —

Tuesday, January 23, 2018

Le Guin

Filed under: General — m759 @ 5:55 pm

Reportedly.

Chilean poet Nicanor Parra

Saturday, September 2, 2017

Try to Remember the Kind of September

Filed under: General — m759 @ 3:07 pm

(A prequel to an Ursula K. Le Guin story
in Fantastic  magazine, September 1962)

Cover art by Lloyd Birmingham for "Plane Jane"

Knight Moves

Filed under: General — Tags: — m759 @ 12:42 pm

Ursula K. Le Guin, in Amazing Stories , Sept. 1992, published
"The Rock That Changed Things" (pp. 9-13) and her story from
thirty years earlier, "April in Paris" (Fantastic Stories , Sept. 1962.)
The latter (pp. 14-19) was followed by some brief remarks (p. 19)
comparing the two stories.

For "The Rock," see Le Guin + Rock in this journal.

"April in Paris" is about time travel by means of an alchemist's
pentagram. The following figure from 1962 is in lieu of a pentagram —

'Loop De Loop,' Johnny Thunder, Diamond Records, 1962

See as well a search for 1962 in this journal.

Friday, September 1, 2017

Patterns for the Abbess

Filed under: General — m759 @ 11:15 pm

On Ursula K. Le Guin's short story
"The Rock That Changed Things"
(in A Fisherman of the Inland Sea ) —

From https://www.academia.edu/9496639/
Study_Guide_for_the_Stories_Collected_in_
Ursula_K._Le_Guins_
FISHERMAN_OF_THE_INLAND_SEA

By Richard D. Erlich, December 2005

…  And at this point a wise, old nur, so excellent at maintaining patterns that the obls let him live even after he was maimed, enters the discussion to do some pattern criticism.  For a first-order approximation reading, he suggests "It might say, 'The nur places stones,'" and others fill in that the nur would be Bu.  Ko corrects them with "patterns aren't ever about nurs!" and Bu counters with "Maybe patterns made of colors are."  Looking with all three of his eyes, Ko reads, "—'the nur places stones beautifully in uncontrollable loopingness …. foreshadowing the seen.'"  Un suggests "The vision" but cannot figure out the last word.  Bu is very excited, inferring that "the patterns of the colors …. aren't accidental.  Not meaningless.  All the time, we have been putting them here in patterns—not just ones the obls design and we execute, but other patterns—nur patterns—with new meanings."  Amid the straight lines of the obls' designs they now see, "other designs, less complete, often merely sketched or hinted—circles, spirals, ovals, and complex curvilinear mazes and labyrinths of great and unpredictable beauty and significance. ***  Both patterns were there; did one cancel the other, or was each part of the other?  It was difficult to see them both at once, but not impossible."  Had the nurs done this all totally unconsciously "without even knowing we were doing it?"   Un admits to having looked at colors, and so did Ko, plus "grain and texture."  Un warns them to keep word of their works from the Professors: "They don't like patterns to change….  It makes them nervous"— and nervous Professors are dangerous to nurs (62-63). 

Bu, however "was so excited and persuasive" about colors of stones "that other nurs of Obling began studying the color patterns, learning how to read their meanings."  And the practice spreads.  Soon, all sorts of nurs were finding "wild designs in colored stones, and surprising messages concerning obls, nurs, and blits" (64)  Conservative nurs— "Many nurs," we're told—resist the trend.  "If we start inventing new meanings, changing things, disturbing the patterns, where will it end?"   It is unclear just how many of the nurs believe «Mr. Charlie treats us real good»—or, as we soon see, Ms. Charlie—but certainly not Bu; she "would hear none of that; she was full of her discovery. She no longer listened in silence.  She spoke."  Bu goes up to the Rectory Mosaic, wearing around her neck a turquoise that she calls her "selfstone."  Up at the Mosaic, Bu crouches before the Rectoress and asks "Would the Lady Rectoress in her kindness answer a question I have?"  

["The Rock That Changed Things" was first published in Amazing Stories , Vol. 67 # 6, No. 574, September 1992, pp. 9-13.]

For an alternative to the Rectoress, see the Abbess of the previous post.

Detail

Filed under: General — m759 @ 10:25 pm

A detail from the previous post

See as well Ursula in this journal.

Saturday, August 29, 2015

Studio Time

Filed under: General — m759 @ 5:55 pm

(The title is a phrase from Oslo artist Josefine Lyche's Instagram page today.)

Note that 6 PM ET is midnight in Oslo.

An image from St. Ursula's Day, 2010

http://www.log24.com/log/pix10B/101021-CelebrationOf.jpg

Related material:

"Is it a genuine demolition of the walls which seem
to separate mind from mind …. ?"

— Clifford Geertz, conclusion of “The Cerebral Savage:
On the Work of Claude Lévi-Strauss

Friday, August 1, 2014

Mystery Prize

Filed under: General — m759 @ 11:29 am

Continued from the Facebook-related post of February 4, 2014:

In related news at the website of the
American Mathematical Society today:

Multimillion-Dollar Minds

“The Multimillion-Dollar Minds of 5 Mathematical Masters,”
by Kenneth Chang, ran in the New York Times  on June 23, 2014.
The piece reports the award of $3 million “Breakthrough” prizes….
The prizes are financed by Yuri Milner, “a Russian who dropped out
of graduate studies in physics and became a successful investor in
Internet companies like Facebook,” and Mark Zuckerberg,
the founder of Facebook….

Related material:  Requiem for a Cat  (March 27, 2012).

“Break on through to the other side” — The Doors

Saturday, July 12, 2014

Mars Package

Filed under: General,Geometry — Tags: , — m759 @ 8:00 pm

For Ursula K. Le Guin

“For me it is a sign that we have fundamentally different
conceptions of the work of the intelligence services.”

— Germany’s Chancellor Angela Merkel in
theguardian.com, Saturday, 12 July 2014, 14.32 EDT

Another sort of service, thanks to Dan Brown and Tom Hanks:

Friday, July 11, 2014

Spiegel-Spiel des Gevierts

Filed under: Uncategorized — m759 @ 12:00 PM 

Robert Langdon (played by Tom Hanks) and a corner of Solomon's Cube

Wednesday, July 9, 2014

Nowhere

Filed under: General,Geometry — m759 @ 12:00 pm

From this morning’s post:

“Beyond Noplace, far into wide Nowhere” — John Hollander

Vide  Le Guin Geometry.

Tuesday, April 8, 2014

Miami Mosaic

Filed under: General,Geometry — m759 @ 2:00 pm

He “…believed the art to be real….”
— Lawyer for  Mosaic Miami Church pastor
accused of trying to sell forged Damien Hirst art

A Miami mosaic from this journal last Dec. 21

IMAGE- Miami/Dade County schools page

The indicated link is to…

See also St. Ursula’s Day, 2010, and Emil Artin’s dies natalis  in 2003.

Saturday, February 22, 2014

Grundlagenkrise*

Filed under: General — Tags: , — m759 @ 12:00 pm

The title was suggested by a 1921 article
by Hermann Weyl and by a review* of
a more recent publication —

The above Harvard Gazette  piece on Davos is
from St. Ursula’s Day, 2010. See also this  journal
on that date.

See as well a Log24 search for Davos.

A more interesting piece by Peter E. Gordon
(author of the above Davos book) is his review
of Charles Taylor’s A Secular Age .
The review is titled

The Place of the Sacred
in the Absence of God
.”

(The place of the sacred is not, perhaps, Davos,
but a more abstract location.)

* Grundlagenkrise  was a tag for a Jan. 13, 2011,
review in The New Republic  of Gordon’s
book on Cassirer and Heidegger at Davos.

Sunday, October 21, 2012

Ambiguity

Filed under: General — m759 @ 2:00 pm

"The fundamental unity of the Sequency and Simultaneity
points of view became plain; the concept of interval served
to connect the static and the dynamic aspect of the universe.
How could he have stared at reality for ten years and not
seen it? There would be no trouble at all in going on.
Indeed he had already gone on. He was there."

— Ursula K. Le Guin, The Dispossessed:
     An Ambiguous Utopia 
(1974)

See also Joplin at the Lapin Blanc.

Friday, March 30, 2012

Meanwhile… (continued)

Filed under: General — m759 @ 9:09 am

In memory of actor Warren Stevens

http://www.log24.com/log/pix10A/100711-LanguageLab.jpg

“… Which makes it a gilt-edged priority that one  of us
 gets into that Krell lab and takes that brain boost.”

— American adaptation of Shakespeare's Tempest , 1956

Some other dialogue—

"Where is the cat?" he asked at last.

"Where is the box?"

"Here."

"Where's here?"

"Here is now."

"We used to think so," I said,
"but really we should use larger boxes."

— "Schrödinger's Cat,"
by Ursula K. Le Guin (1974)

Tuesday, March 27, 2012

Requiem for a Cat

Filed under: General — Tags: — m759 @ 8:28 pm

Cover art by Robert Goldstrom

From “Schrödinger’s Cat,” by Ursula K. Le Guin
(Buffalo Gals and Other Animal Presences )

….

There was silence then: deep silence. We both gazed, I afoot, Rover kneeling, at the box. No sound. Nothing happened. Nothing would happen. Nothing would ever happen, until we lifted the lid of the box.

“Like Pandora,” I said in a weak whisper. I could not quite recall Pandora’s legend. She had let all the plagues and evils out of the box, of course, but there had been something else, too. After all the devils were let loose, something quite different, quite unexpected, had been left. What had it been? Hope? A dead cat? I could not remember.

Impatience welled up in me. I turned on Rover, glaring. He returned the look with expressive brown eyes. You can’t tell me dogs haven’t got souls.

“Just exactly what are you trying to prove?” I demanded.

“That the cat will be dead, or not dead,” he murmured submissively. “Certainty. All I want is certainty. To know for sure that God does play dice with the world.”

I looked at him for a while with fascinated incredulity. “Whether he does, or doesn’t,” I said, “do you think he’s going to leave you a note in the box?” I went to the box, and with a rather dramatic gesture, flung the lid back. Rover staggered up from his knees, gasping, to look. The cat was, of course, not there.

Rover neither barked, nor fainted, nor cursed, nor wept. He really took it very well.

“Where is the cat?” he asked at last.

“Where is the box?”

“Here.”

“Where’s here?”

“Here is now.”

“We used to think so,” I said, “but really we should use larger boxes.”

He gazed about in mute bewilderment, and did not flinch even when the roof of the house was lifted off just like the lid of the box, letting in the unconscionable, inordinate light of the stars. He had just time to breathe, “Oh, wow!”

I have identified the note that keeps sounding. I checked it on the mandolin before the glue melted. It is the note A, the one that drove the composer Schumann mad. It is a beautiful, clear tone, much clearer now that the stars are visible. I shall miss the cat. I wonder if he found what it was we lost?

Friday, October 21, 2011

Happy Birthday to …

Filed under: General,Geometry — m759 @ 2:14 am

Ursula K. Le Guin

Click the image below for some background.

A Walsh function and a corresponding finite-geometry hyperplane

The above image illustrates an equivalence* between sequential and simultaneous points of view.

The sequential point of view says "Do," the simultaneous point of view says "Be."

And then there is the Sinatra point of view—

"The fundamental unity of the Sequency and Simultaneity points of view became plain; the concept of interval served to connect the static and the dynamic aspect of the universe. How could he have stared at reality for ten years and not seen it? There would be no trouble at all in going on. Indeed he had already gone on. He was there."

— Ursula K. Le Guin, The Dispossessed: An Ambiguous Utopia  (1974)

"It turned out so right… for strangers in the night."

* Based on a boustrophedonic  folding.

Monday, May 3, 2010

An Ordinary Evening

Filed under: General,Geometry — Tags: — m759 @ 8:00 pm

“…geometrically organized, with the parts labeled”

— Ursula K. Le Guin on what she calls “the Euclidean utopia

“There is such a thing as a tesseract.”

Madeleine L’Engle

Related material– Diamond Theory, 1937

Dream Time

Filed under: General,Geometry — Tags: , , — m759 @ 9:00 am

“Mere anarchy is loosed upon the world”

William Butler Yeats

From a document linked to here on April 30, Walpurgisnacht–

“…the Golden Age, or Dream Time, is remote only from the rational mind. It is not accessible to euclidean reason….”

“The utopia of the Grand Inquisitor ‘is the product of “the euclidean mind” (a phrase Dostoyevsky often used)….'”

“The purer, the more euclidean the reason that builds a utopia, the greater is its self-destructive capacity. I submit that our lack of faith in the benevolence of reason as the controlling power is well founded. We must test and trust our reason, but to have faith  in it is to elevate it to godhead.”

“Utopia has been euclidean, it has been European, and it has been masculine. I am trying to suggest, in an evasive, distrustful, untrustworthy fashion, and as obscurely as I can, that our final loss of faith in that radiant sandcastle may enable our eyes to adjust to a dimmer light and in it perceive another kind of utopia.”

“You will recall that the quality of static perfection is an essential element of the non-inhabitability of the euclidean utopia….”

“The euclidean utopia is mapped; it is geometrically organized, with the parts labeled….”

— Ursula K. Le Guin, “A Non-Euclidean View of California as a Cold Place to Be”

San Francisco Chronicle  today

“A May Day rally in Santa Cruz erupted into chaos Saturday night….”

“Had Goodman Brown fallen asleep in the forest,
and only dreamed a wild dream of a witch-meeting?”

Nathaniel Hawthorne

Saturday, May 1, 2010

An Education

Filed under: General,Geometry — Tags: — m759 @ 9:00 am
 

天鈞

 

Made famous by Ursula K. Le Guin
as the book title "Lathe of Heaven,"
this Chinese phrase, tianjun, apparently
means something more like "Scales of Heaven"–
an appropriate image for Law Day 2010.

Image--Scales (the legal symbol)

An anonymous forum user says that

"…if you switch the two characters around,
you get: 鈞天, which is one of
the nine heavens, more specifically,
the middle heaven."

This is supported by a
non-anonymous source:

"I follow A.C. Graham’s translation of
Juntian as 'Level Heaven (the innermost
of the nine divisions of heaven)';
he renders Juntian guangyue as
'the mighty music of the innermost heaven.'"

— "Music in the World of Su Shi (1037-1101):
Terminology
," by Stuart H. Sargent,
Colorado State University,
Journal of Sung-Yuan Studies 32 (2002), 39-81

The Nine Divisions of Heaven–

Image-- Routledge Encyclopedia of Taoism, Vol. I, on the Nine Heavens, 'jiutian,' ed. by Fabrizio Pregadio

Some context–

The 3x3 ('ninefold') square

"This pattern is a square divided into nine equal parts.
It has been called the 'Holy Field' division and
was used throughout Chinese history for many
different purposes, most of which were connected
with things religious, political, or philosophical."

The Magic Square: Cities in Ancient China,
by Alfred Schinz, Edition Axel Menges, 1996, p. 71

Monday, April 26, 2010

Types of Ambiguity

Filed under: General,Geometry — Tags: , — m759 @ 10:31 am

From Ursula K. Le Guin’s novel
The Dispossessed: An Ambiguous Utopia
(1974)—

Chapter One

“There was a wall. It did not look important. It was built of uncut rocks roughly mortared. An adult could look right over it, and even a child could climb it. Where it crossed the roadway, instead of having a gate it degenerated into mere geometry, a line, an idea of boundary. But the idea was real. It was important. For seven generations there had been nothing in the world more important than that wall.

Like all walls it was ambiguous, two-faced. What was inside it and what was outside it depended upon which side of it you were on.”

Note—

“We note that the phrase ‘instead of having a gate it degenerated into mere geometry’ is mere fatuousness. If there is an idea here, degenerate, mere, and geometry  in concert do not fix it. They bat at it like a kitten at a piece of loose thread.”

— Samuel R. Delany, The Jewel-Hinged Jaw: Notes on the Language of Science Fiction  (Dragon Press, 1977), page 110 of revised edition, Wesleyan University Press, 2009

(For the phrase mere geometry  elsewhere, see a note of April 22. The apparently flat figures in that note’s illustration “Galois Affine Geometry” may be regarded as degenerate  views of cubes.)

Later in the Le Guin novel—

“… The Terrans had been intellectual imperialists, jealous wall builders. Even Ainsetain, the originator of the theory, had felt compelled to give warning that his physics embraced no mode but the physical and should not be taken as implying the metaphysical, the philosophical, or the ethical. Which, of course, was superficially true; and yet he had used number, the bridge between the rational and the perceived, between psyche and matter, ‘Number the Indisputable,’ as the ancient founders of the Noble Science had called it. To employ mathematics in this sense was to employ the mode that preceded and led to all other modes. Ainsetain had known that; with endearing caution he had admitted that he believed his physics did, indeed, describe reality.

Strangeness and familiarity: in every movement of the Terran’s thought Shevek caught this combination, was constantly intrigued. And sympathetic: for Ainsetain, too, had been after a unifying field theory. Having explained the force of gravity as a function of the geometry of spacetime, he had sought to extend the synthesis to include electromagnetic forces. He had not succeeded. Even during his lifetime, and for many decades after his death, the physicists of his own world had turned away from his effort and its failure, pursuing the magnificent incoherences of quantum theory with its high technological yields, at last concentrating on the technological mode so exclusively as to arrive at a dead end, a catastrophic failure of imagination. Yet their original intuition had been sound: at the point where they had been, progress had lain in the indeterminacy which old Ainsetain had refused to accept. And his refusal had been equally correct– in the long run. Only he had lacked the tools to prove it– the Saeba variables and the theories of infinite velocity and complex cause. His unified field existed, in Cetian physics, but it existed on terms which he might not have been willing to accept; for the velocity of light as a limiting factor had been essential to his great theories. Both his Theories of Relativity were as beautiful, as valid, and as useful as ever after these centuries, and yet both depended upon a hypothesis that could not be proved true and that could be and had been proved, in certain circumstances, false.

But was not a theory of which all the elements were provably true a simple tautology? In the region of the unprovable, or even the disprovable, lay the only chance for breaking out of the circle and going ahead.

In which case, did the unprovability of the hypothesis of real coexistence– the problem which Shevek had been pounding his head against desperately for these last three days. and indeed these last ten years– really matter?

He had been groping and grabbing after certainty, as if it were something he could possess. He had been demanding a security, a guarantee, which is not granted, and which, if granted, would become a prison. By simply assuming the validity of real coexistence he was left free to use the lovely geometries of relativity; and then it would be possible to go ahead. The next step was perfectly clear. The coexistence of succession could be handled by a Saeban transformation series; thus approached, successivity and presence offered no antithesis at all. The fundamental unity of the Sequency and Simultaneity points of view became plain; the concept of interval served to connect the static and the dynamic aspect of the universe. How could he have stared at reality for ten years and not seen it? There would be no trouble at all in going on. Indeed he had already gone on. He was there. He saw all that was to come in this first, seemingly casual glimpse of the method, given him by his understanding of a failure in the distant past. The wall was down. The vision was both clear and whole. What he saw was simple, simpler than anything else. It was simplicity: and contained in it all complexity, all promise. It was revelation. It was the way clear, the way home, the light.”

Related material—

Time Fold, Halloween 2005, and May and Zan.

See also The Devil and Wallace Stevens

“In a letter to Harriet Monroe, written December 23, 1926, Stevens refers to the Sapphic fragment that invokes the genius of evening: ‘Evening star that bringest back all that lightsome Dawn hath scattered afar, thou bringest the sheep, thou bringest the goat, thou bringest the child home to the mother.’ Christmas, writes Stevens, ‘is like Sappho’s evening: it brings us all home to the fold’ (Letters of Wallace Stevens, 248).”

— “The Archangel of Evening,” Chapter 5 of Wallace Stevens: The Intensest Rendezvous, by Barbara M. Fisher, The University Press of Virginia, 1990

Saturday, February 23, 2008

Saturday February 23, 2008

Filed under: General,Geometry — Tags: , , , — m759 @ 12:00 pm
Jumpers

"An acute study of the links
between word and fact"
Nina daVinci Nichols

 
Thanks to a Virginia reader for a reminder:
 
Virginia /391062427/item.html? 2/22/2008 7:37 PM
 
The link is to a Log24 entry
that begins as follows…

An Exercise

of Power

Johnny Cash:
"And behold,
a white horse."

Springer logo - A chess knight
Chess Knight
(in German, Springer)

This, along with the "jumper" theme in the previous two entries, suggests a search on springer jumper.That search yields a German sports phrase, "Springer kommt!"  A search on that phrase yields the following:
"Liebe Frau vBayern,
mich würde interessieren wie man
mit diesem Hintergrund
(vonbayern.de/german/anna.html)
zu Springer kommt?"

Background of "Frau vBayern" from thePeerage.com:

Anna-Natascha Prinzessin zu Sayn-Wittgenstein-Berleburg 

F, #64640, b. 15 March 1978Last Edited=20 Oct 2005

     Anna-Natascha Prinzessin zu Sayn-Wittgenstein-Berleburg was born on 15 March 1978. She is the daughter of Ludwig Ferdinand Prinz zu Sayn-Wittgenstein-Berleburg and Countess Yvonne Wachtmeister af Johannishus. She married Manuel Maria Alexander Leopold Jerg Prinz von Bayern, son of Leopold Prinz von Bayern and Ursula Mohlenkamp, on 6 August 2005 at Nykøping, Södermanland, Sweden.

The date of the above "Liebe Frau vBayern" inquiry, Feb. 1, 2007, suggests the following:

From Log24 on
St. Bridget's Day, 2007:

The quotation
"Science is a Faustian bargain"
and the following figure–

Change

The 63 yang-containing hexagrams of the I Ching as a Singer 63-cycle

From a short story by
the above Princess:

"'I don't even think she would have wanted to change you. But she for sure did not want to change herself. And her values were simply a part of her.' It was true, too. I would even go so far as to say that they were her basis, if you think about her as a geometrical body. That's what they couldn't understand, because in this age of the full understanding for stretches of values in favor of self-realization of any kind, it was a completely foreign concept."

To make this excellent metaphor mathematically correct,
change "geometrical body" to "space"… as in

"For Princeton's Class of 2007"

Review of a 2004 production of a 1972 Tom Stoppard play, "Jumpers"–

John Lahr on Tom Stoppard's play Jumpers

Related material:

Knight Moves (Log24, Jan. 16),
Kindergarten Theology (St. Bridget's Day, 2008),
and

The image “My space -(the affine space of six dimensions over the two-element field
(Click on image for details.)

Saturday, March 18, 2006

Saturday March 18, 2006

Filed under: General — Tags: — m759 @ 4:07 pm

ART WARS:
The Crimson Passion continues…

How to Grow
a Crimson Clover

Published in the Harvard Crimson
on Thursday, March 16, 2006, 6:24 PM
by Patrick R. Chesnut,
Crimson staff writer


Stephen Dedalus, James Joyce’s literary alter ego, once described the trappings of Irish culture as nets that hold a soul back from flight. By his standards, Harvard has soared.

Irish culture has been an indelible part of Boston, but the names on our red-brick buildings tell a different story: Adams, Lowell, Winthrop. It would be easy to assume that for Harvard students, Irish culture consists of little more than guzzling alcohol in Tommy Doyle’s Irish Pub or at St. Patrick’s Day Stein Club.

Recently, however, a small but lively Irish subculture, centered on Celtic music and language, has been developing at Harvard. But despite its vivacity, it remains largely unnoticed by the broader student body.

Efforts by groups like the Harvard College Celtic Club and by the producers of the upcoming Loeb mainstage of J.M. Synge’s “The Playboy of the Western World” may be just the sort of first step needed to finally make Harvard a place where Irish artistic culture lives….

REACHING OUT

“The Playboy”– which will run from April 28 through May 6– revolves around the disruption of life in a provincial Irish village when an outsider arrives with an extravagant story. All points converge at this play’s production: members of the Celtic Club coordinated and will perform the play’s music, the producers hope to draw Boston’s Irish community, and the production will present Harvard’s students with a script deeply entrenched in Irish history, but that boasts a universal appeal.

As Kelly points out, the Irish roots of “The Playboy” are clearer than in the plays of the nominally Irish, but Francophone, absurdist writer Samuel Beckett. And unlike the plays of Sean O’Casey, which are extremely rooted in Irish culture, “The Playboy” boasts a visceral appeal that will be accessible to Harvard students.

From a site linked to in yesterday’s St. Patrick’s Day sermon as the keys to the kingdom:

“In the western world, we tend to take for granted our musical scale, formed of whole tone and half tone steps. These steps are arranged in two ways: the major scale and the minor.”

From the obituary in today’s online New York Times of fashion designer Oleg Cassini, who died at 92 on St. Patrick’s Day, Friday, March 17, 2006:

“… he was always seen in the company of heiresses, debutantes, showgirls, ingenues. Between, before or after [his first] two marriages, he dated young starlets like Betty Grable and Lana Turner and actresses like Ursula Andress and Grace Kelly, to whom he was briefly engaged.

‘He was a true playboy, in the Hollywood sense,’ said Diane von Furstenberg, the fashion designer and a friend of Mr. Cassini’s. ‘Well into his 90’s, he was a flirt.'”

“How strange the change from major to minor…
      Ev’ry time we say goodbye.”
   — Cole Porter

Thursday, October 21, 2004

Thursday October 21, 2004

Filed under: General — m759 @ 2:00 pm

A Date Which Will
Live in Infamy

Log24.net Sunday,
December 7, 2003

Annals of Education:

Eyes on the Prize

Dialogue from
“Good Will Hunting” —

Will:    He used to just put a belt,
          a stick, and a wrench
          on the kitchen table
          and say, “Choose.”

Sean: Gotta go with the belt, there.

Will:   I used to go with the wrench.

The image “http://www.log24.com/log/pix04B/041021--GWH2.jpg” cannot be displayed, because it contains errors.

Today’s saint’s day:
St. Ursula

Today’s birthday:
Ursula K. Le Guin

 The image “http://www.log24.com/log/pix04B/041021-Award.jpg” cannot be displayed, because it contains errors.

Today’s Scripture:

Zen and the Art
of Motorcycle Maintenance

The image “http://www.log24.com/log/pix04B/041021-Zen.jpg” cannot be displayed, because it contains errors.

Chapter 20:

“Then, on impulse, Phædrus went over to his bookshelf and picked out a small, blue, cardboard-bound book. He’d hand-copied this book and bound it himself years before, when he couldn’t find a copy for sale anywhere. It was the 2,400-year-old Tao Te Ching of Lao Tzu. He began to read….

Phædrus read on through line after line, verse after verse of this, watched them match, fit, slip into place. Exactly. This was what he meant. This was what he’d been saying all along, only poorly, mechanistically. There was nothing vague or inexact about this book. It was as precise and definite as it could be. It was what he had been saying, only in a different language with different roots and origins. He was from another valley seeing what was in this valley, not now as a story told by strangers but as a part of the valley he was from. He was seeing it all.

He had broken the code.

He read on. Line after line. Page after page. Not a discrepancy. What he had been talking about all the time as Quality was here the Tao, the great central generating force of all religions, Oriental and Occidental, past and present, all knowledge, everything.”

Thursday, October 23, 2003

Thursday October 23, 2003

Filed under: General — m759 @ 3:00 am

For the Dead of
St. Ursula’s Day

In the spirit of Southie…


Film


Reality

To admirers of
Elliott Smith
from admirers of
Louise Day Hicks,
a link:

http://www.irishfuneral.com.

“To admirers, Mrs. Hicks
spoke the truth
to liberal power
in simple declarative sentences.”

Mark Feeney, Boston Globe

“The time had come for him
to set out on his journey westward.
Yes, the newspapers were right:
snow was general all over Ireland.”

James Joyce, “The Dead”

Tuesday, October 21, 2003

Tuesday October 21, 2003

Filed under: General — m759 @ 2:07 am

Saint Ursula’s Day

“What sane person could live in this world and not be crazy?”

— Saying attributed to 
   Saint Ursula K. Le Guin
   (10/21/1929 – )

Monday, October 21, 2002

Monday October 21, 2002

Filed under: General — Tags: — m759 @ 12:01 am

Birthdays for a Small Planet

Today's birthdays:

The entry below, "Theology for a Small Planet," sketches an issue that society has failed to address since the fall of 1989, when it was first raised by the Harvard Divinity Bulletin.

In honor mainly of Ursula K. Le Guin, but also of her fellow authors above, I offer Le Guin's solution. It is not new. It has been ignored mainly because of the sort of hateful and contemptible arrogance shown by

  • executives in the tradition of Henry Ford and later Ford Foundation and Ford Motors employees McGeorge Bundy and Robert McNamara (see yesterday's entry below for Ford himself), by
  • theologians in the tradition of the Semitic religions — Judaism, Christianity, and Islam — and by
  • self-proclaimed "shamans of scientism" like Michael Shermer in the tradition of Scientific American magazine.

Here is an introduction to the theology that should replace the ridiculous and outdated Semitic religions.

According to Le Guin,

"Scholarly translators of the Tao Te Ching, as a manual for rulers, use a vocabulary that emphasizes the uniqueness of the Taoist 'sage,' his masculinity, his authority. This language is perpetuated, and degraded, in most popular versions. I wanted a Book of the Way accessible to a present-day, unwise, unpowerful, and perhaps unmale reader, not seeking esoteric secrets, but listening for a voice that speaks to the soul. I would like that reader to see why people have loved the book for 2500 years.

It is the most lovable of all the great religious texts, funny, keen, kind, modest, indestructibly outrageous and inexhaustibly refreshing. Of all the deep springs, this is the purest water. To me it is also the deepest spring."

Tao Te Ching: Chapter 6
translated by Ursula K. Le Guin

The valley spirit never dies
Call it the mystery, the woman.

The mystery,
the Door of the Woman,
is the root
of earth and heaven.

Forever this endures, forever.
And all its uses are easy.

Sunday, September 15, 2002

Sunday September 15, 2002

Filed under: General,Geometry — Tags: — m759 @ 11:07 pm

Evariste Galois and 
The Rock That Changed Things

An article in the current New York Review of Books (dated Sept. 26) on Ursula K. Le Guin prompted me to search the Web this evening for information on a short story of hers I remembered liking.  I found the following in the journal of mathematician Peter Berman:

  • A Fisherman of the Inland Sea, Ursula K. Le Guin, 1994:
    A book of short stories. Good, entertaining. I especially liked “The Rock That Changed Things.” This story is set in a highly stratified society, one split between elite and enslaved populations. In this community, the most important art form is a type of mosaic made from rocks, whose patterns are read and interpreted by scholars from the elite group. The main character is a slave woman who discovers new patterns in the mosaics. The story is slightly over-the-top but elegant all the same.

I agree that the story is elegant (from a mathematician, a high compliment), so searched Berman’s pages further, finding this:

A table of parallels

between The French Mathematician (a novel about Galois) and Harry Potter and the Sorcerer’s Stone

My own version of the Philosopher’s Stone (the phrase used instead of “Sorcerer’s Stone” in the British editions of Harry Potter) appears in my profile picture at top left; see also the picture of Plato’s diamond figure in my main math website.  The mathematics of finite (or “Galois”) fields plays a role in the underlying theory of this figure’s hidden symmetries.  Since the perception of color plays a large role in the Le Guin story and since my version of Plato’s diamond is obtained by coloring Plato’s version, this particular “rock that changes things” might, I hope, inspire Berman to extend his table to include Le Guin’s tale as well.

Even the mosaic theme is appropriate, this being the holiest of the Mosaic holy days.

Dr. Berman, G’mar Chatimah Tova.

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