Log24

Monday, January 31, 2011

Darkness at Noon

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

In today's Wall Street Journal , Peter Woit reviews a new book on dark matter and dark energy.

For a more literary approach, see "dark materials" in this  journal.

Before thir eyes in sudden view appear
The secrets of the hoarie deep, a dark
Illimitable Ocean without bound,
Without dimension, where length, breadth, and highth,
And time and place are lost; where eldest Night
And Chaos, Ancestors of Nature, hold
Eternal Anarchie, amidst the noise
Of endless warrs and by confusion stand.
For hot, cold, moist, and dry, four Champions fierce
Strive here for Maistrie, and to Battel bring amidst the noise
Thir embryon Atoms....
                                ... Into this wilde Abyss,
The Womb of nature and perhaps her Grave,
Of neither Sea, nor Shore, nor Air, nor Fire,
But all these in thir pregnant causes mixt
Confus'dly, and which thus must ever fight,
Unless th' Almighty Maker them ordain
His dark materials to create more Worlds,
Into this wilde Abyss the warie fiend
Stood on the brink of Hell and look'd a while,
Pondering his Voyage....

-- John Milton, Paradise Lost , Book II

Related material:

1. The “spider” symbol of Fritz Leiber’s short story “Damnation Morning”—

2. Angels and demons here and in the Catholic Church.

3. The following diagram by one “John Opsopaus”—

http://www.log24.com/log/pix09/090312-OpsopausSquare.jpg

Sunday, January 30, 2011

Brightness at Noon, continued…

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

A phrase suggested by last night's New York Times  obituaries

From Milton to Milton  (click to enlarge)

http://www.log24.com/log/pix11/1110130-MiltonToMilton500w.jpg

The "green fields" is from Shakespeare.

The above author, Vinton Adams Dearing, died* on April 6, 2005. From this journal on that date, some babbling.

"Have your people call my people." — George Carlin

* See Dearing's page 34

http://www.log24.com/log/pix11/110130-DearingHeaven480w.jpg

Sermon

Filed under: General — Tags: — m759 @ 11:00 am

Today's sermon, suggested by yesterday's New York midday and evening lottery— "6/18 and 4/18."

Background for 6/18— Go Tigers!

6/18

Background for 4/18— Requiem for an Editor*

4/18

* See "Sally Menke, Tarantino's Editor, Dies."

Saturday, January 29, 2011

Cold Open

Filed under: General — m759 @ 11:16 pm

Kernel and Moonshine

"The yarns of seamen have a direct simplicity, the whole meaning of which lies within the shell of a cracked nut. But Marlow was not typical (if his propensity to spin yarns be excepted), and to him the meaning of an episode was not inside like a kernel but outside, enveloping the tale which brought it out only as a glow brings out a haze, in the likeness of one of these misty halos that sometimes are made visible by the spectral illumination of moonshine."

— Joseph Conrad in Heart of Darkness

Some background—

Spider and Snake on cover of Fritz Leiber's novel Big Time

An image from yesterday's search
God, TIme, Hopkins

"We got tom-toms over here bigger than a monster
Bla Bla Bla Bla Bla Bla Bla Bla"

— "Massive Attack"

"I'm just checking your math on that. Yes, I got the same thing."

— "The Social Network"

"Live… Uh, check thatFrom New York, it's Saturday Night! "

Friday, January 28, 2011

Meanwhile…

Filed under: General — m759 @ 8:22 am

From this morning's New York Times

 "On November 12th and 13th, 2010,
  a meeting of Roman Catholic bishops
  convened to respond to the growing demand
  for exorcism rites."
  — Trailer for the film "The Rite," which opens today

http://www.log24.com/log/pix11/110128-RiteTrailer500w.jpg

Meanwhile, in this  journal on November 12th and 13th, 2010… Award Show Story.

Related material — God, Time, Hopkins and a Faustian link from November 12th.

Update of 9:57 AM 1/28— The Faustian link suggests readings from
James G. Hart's The Person and the Common Life  (Kluwer Academic, 1992).

See pages 1,  2,  3,  4,  and  5, and note especially the spider metaphor on page 5 —

http://www.log24.com/log/pix11/110128-SpiderMother.jpg

Thursday, January 27, 2011

Mathematics and Narrative, continued…

Filed under: General,Geometry — m759 @ 10:30 am

Indiana Jones and the Magical Oracle

Mathematician Ken Ono in the December 2010 American Mathematical Society Notices

http://www.log24.com/log/pix10B/101113-Ono.gif

The "dying genius" here is Ramanujan, not Galois. The story now continues at the AMS website—

http://www.log24.com/log/pix11/110127-AMS-Ono-500w.jpg

      (Excerpt from Jan. 27 screenshot;
      the partitions story has been the top
      news item at the site all week.)

From a Jan. 20, 2011, Emory University press release —
"Finite formula found for partition numbers" —

"We found a function, that we call P, that is like a magical oracle," Ono says. "I can take any number, plug it into P, and instantly calculate the partitions of that number. P does not return gruesome numbers with infinitely many decimal places. It's the finite, algebraic formula that we have all been looking for."

For an introduction to the magical oracle, see a preprint, "Bruinier-Ono," at the American Institute of Mathematics website.

Ono also discussed the oracle in a video (see minute 25) recorded Jan. 21 and placed online today.

See as well "Exact formulas for the partition function?" at mathoverflow.net.

A Nov. 29, 2010, remark by Thomas Bloom on that page leads to a 2006 preprint by Ono and Kathrin Bringmann, "An Arithmetic Formula for the Partition Function*," that seems not unrelated to Ono's new "magical oracle" formula—

Click to enlarge

http://www.log24.com/log/pix11/110127-Preprints500w.jpg

The Bruinier-Ono paper does not mention the earlier Bringmann-Ono work.

(Both the 2011 Bruinier-Ono paper and the 2006 Bringmann-Ono paper mention their debt to a 2002 work by Zagier—  Don Zagier, "Traces of singular moduli," in Motives, Polylogarithms and Hodge theory, Part II  (Irvine, CA, 1998), International Press Lecture Series 3 (International Press, Somerville, MA, 2002),   pages 211-244.)

Some background for those who prefer mathematics to narrative
The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and q-Series ,
by Ken Ono, American Mathematical Society CBMS Series, 2004.

* Proc. Amer. Math. Soc. 135 (2007), 3507-3514.

Wednesday, January 26, 2011

All Others Pay Cash

Filed under: General — m759 @ 1:20 pm

Click to enlarge.

http://www.log24.com/log/pix11/110126-NYTobits500w.jpg

Related material: Daniel Bell on the City of Heaven
and the Louvin Brothers' "Cash on the Barrelhead."

Requiem for a Screenwriter*

Filed under: General — m759 @ 1:00 pm
 

Click for obit.

Background:

Hexagram 61
and

Still Point.

* Notably, of the film "Downfall" (Der Untergang ).
   "Has time rewritten every line?" —Streisand

Bell Toll

Filed under: General — m759 @ 12:00 pm

"The ladder to the City of Heaven can no longer be a 'faith ladder,' but an empirical one," he wrote, "a utopia has to specify where one wants to go, how to get there, the costs of the enterprise, and some realization of, and justification for the determination of who is to pay."

AP on Daniel Bell, Harvard professor of sociology, who died yesterday at 91

Early Nothing

Filed under: General,Geometry — Tags: — m759 @ 11:29 am

(Continued from yesterday)

Today's New York Times  obituaries —

http://www.log24.com/log/pix11/110126-BruceGordon.jpg

From Wes Clark's site Web Noir

Scenes from "The Set-Up," a 1949 noir classic by Robert Wise

http://www.log24.com/log/pix11/110126-ParadiseCity.jpg

From Bruce Gordon's obituary in today's New York Times

"Mr. Gordon appeared on Broadway many times. He was in the original cast of the hit comedy 'Arsenic and Old Lace,' which opened in 1941 and starred Boris Karloff. Uncharacteristically, given his later résumé, Mr. Gordon played a policeman." —Margalit Fox

Related material —

http://www.log24.com/log/pix10B/101221-BrewsterSociety.jpg

(See Savage Solstice in this journal on December 21st, 2010.)

Tuesday, January 25, 2011

For Your Consideration…

Filed under: General — m759 @ 1:20 pm

Early Nothing

Manohla Dargis on film director Fritz Lang in The New York Times  (online Jan. 21, 2011, printed Jan. 23)—

"Hollywood endings can be beautiful fibs, but in Lang’s movies the glossy smiles and fade-outs feel forced. You can almost feel him pulling at them, trying to bring them back into the dark where they belong. The miracle of his Hollywood era is that, even when the screenplays tried to force his work in one direction, he managed to take them into richer, more complex realms with a style that was alternately baroque and stripped down and peopled with characters whose cynicism was earned. Every so often, though, he did strike screenwriting gold, notably in 'The Big Heat,' his 1953 crime masterwork. 'Say, I like this, early nothing,' a mink-swaddled Gloria Grahame says of a hotel room. Everyone really is a critic."

Here comes everyone .

Another Reappearing Number

Filed under: General,Geometry — m759 @ 12:25 pm

(A sequel to yesterday's reappearing number)

25 —

5x5 ultra super magic square

See "Quine, Newton, logic" in this journal.

Brightness at Noon, continued–

Filed under: General — m759 @ 12:00 pm

Hymn Noir

"This is that 'once in a lifetime,'
this is the thrill divine."

Dorcas Cochran, "Again"

Background—

Today's previous post as well as Loretta's Rainbow,
the "hole in the record" theme in The Third Wor*d War,
"Is Nothing Sacred?," and James Joyce's Birthday, 2009.

See also "the name of the story" in this journal.

Label

Filed under: General — m759 @ 4:04 am

For Brian Rust, "father of modern discography,"
who died on Twelfth Night, 2011—

A song.

IMAGE- Detail of a photo by Richard Newton at flickr.com

Related material— a video of the song—
Ida Lupino in "Road House" (1948) singing "Again."

See also this journal's Twelfth Night posts. (Note particularly the 4/01 link.)

Monday, January 24, 2011

A Reappearing Number, continued

Filed under: General — m759 @ 12:24 pm

"In the work of Ramanujan, the number 24 appears repeatedly.
This is an example of what mathematicians call magic numbers,
which continually appear, where we least expect them,
for reasons that no one understands."

— Michio Kaku, Hyperspace, Oxford U. Press, 1994, p. 173

See also "A Reappearing Number," this journal, July 4, 2010.

Sunday, January 23, 2011

Whoosh

Filed under: General — m759 @ 12:00 pm

http://www.log24.com/log/pix11/110122-MilesDavisBlueFlameSm.jpg

Profession

Filed under: General — m759 @ 11:29 am

Yesterday's afternoon post

"'Two distinguished philosophers from the heart of the profession
  offer a meditation on the meaning of life….'"

Paul Newman and Robert Redford in 'The Sting'

Saturday, January 22, 2011

Midnight in the Garden continues…

Filed under: General — m759 @ 11:59 pm

Today's funeral Mass for Sargent Shriver,
tonight's review in the New York TImes  of a singer
from the Kollege of Musical Knowledge,
and today's New York lottery numbers suggest the following links—

8/15 and 9/10.

Ask Not

Filed under: General — m759 @ 1:20 pm

Background— see Natural Hustler in this journal.

http://www.log24.com/log/pix11/110122-AllThingsShiningNYT.jpg

http://www.log24.com/log/pix11/110122-AskNot.jpg

    This is from All Things Shining— "Conclusion: Lives Worth Living in a Secular Age"

High School Squares*

Filed under: General,Geometry — Tags: , , , — m759 @ 1:20 am

The following is from the weblog of a high school mathematics teacher—

http://www.log24.com/log/pix11/110121-LatinSquares4x4.jpg

This is related to the structure of the figure on the cover of the 1976 monograph Diamond Theory

http://www.log24.com/log/pix11/110122-DiamondTheoryCover.jpg

Each small square pattern on the cover is a Latin square,
with elements that are geometric figures rather than letters or numerals.
All order-four Latin squares are represented.

For a deeper look at the structure of such squares, let the high-school
chart above be labeled with the letters A through X, and apply the
four-color decomposition theorem.  The result is 24 structural diagrams—

    Click to enlarge

IMAGE- The Order-4 (4x4) Latin Squares

Some of the squares are structurally congruent under the group of 8 symmetries of the square.

This can be seen in the following regrouping—

   Click to enlarge

IMAGE- The Order-4 (4x4) Latin Squares, with Congruent Squares Adjacent

      (Image corrected on Jan. 25, 2011– "seven" replaced "eight.")

* Retitled "The Order-4 (i.e., 4×4) Latin Squares" in the copy at finitegeometry.org/sc.

Thursday, January 20, 2011

Trinity

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

Reynolds Price died today. See Lore of the Manhattan Project in this journal.

In memoriam : Descartes's Twelfth Step and Symmetry and a Trinity.

Brightness at Noon, continued

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

"One wild rhapsody a fake for another."

– Wallace Stevens, "Arrival at the Waldorf," in Parts of a World  (1942)

"Camelot is an illusion.

That doesn't matter, according to Catherine.
Camelot is an artificial construction, a public perception.
The things that matter are closer, deeper, self-generated, unkillable.
You've got to grow up to discover what those things are."

— Dan Zak, Washington Post  movie review on Feb. 27, 2009. See also this journal on that date.

See as well a note on symmetry from Christmas Eve, 1981, and Verbum in this journal.

Some philosophical background— Derrida in the Garden.

Some historical background— A Very Private Woman  and Noland.

Wednesday, January 19, 2011

A Shade Out of Synch

Filed under: General — m759 @ 5:24 pm

Review of a 1968 novel by Wilfrid Sheed, who died today—

http://www.log24.com/log/pix11/110104-EnlargeThis.jpg

http://www.log24.com/log/pix11/110119-SheedLIFEsm.jpg

Sheed on his boyhood in My Life as a Fan: A Memoir

"So it was back to… tinkering with my batting stance and praying that some one of my aged neighbors would miraculously rear back and give birth, like Sarah in the Bible, to a boy who would even more miraculously emerge at about my own age and not turn out to be a butterfly collector or other form of creep." (Simon & Schuster, 1993; in 2001 edition, page 84)

See also Shadow (September 23rd) —

"I was the shadow of the waxwing slain" — John Shade in Pale Fire , a novel by butterfly collector Vladimir Nabokov

—as well as Intermediate Cubism and Ironic Butterfly.

    http://www.log24.com/log/pix11/110114-AlderTilleyColoredSm.gif

"This is called the transformation of things."

Intermediate Cubism

Filed under: General,Geometry — Tags: , , , — m759 @ 2:22 pm

The following is a new illustration for Cubist Geometries

IMAGE- A Galois cube: model of the 27-point affine 3-space

(For elementary cubism, see Pilate Goes to Kindergarten and The Eightfold Cube.
 For advanced, see Solomon's Cube and Geometry of the I Ching .)

Cézanne's Greetings.

Sunday, January 16, 2011

The Empire Room Strikes Back

Filed under: General — m759 @ 5:24 pm

The New York Times  now offers a sequel to its philosophy series "The Stone"

"a sword that heals."

From the Times  City Room this afternoon—

Click to enlarge

http://www.log24.com/log/pix11/110116-CityRoomSm.jpg

"One wild rhapsody a fake for another."

— Wallace Stevens, "Arrival at the Waldorf," in Parts of a World  (1942)

The Mind Spider*

Filed under: General — Tags: — m759 @ 2:29 pm

On a conference at the New School for Social Research on Friday and Saturday, December 3rd and 4th, 2010—

"This conference is part of the early stages in the formation of a lexicon of political concepts. It will be the 5th in a series of conferences started in Tel Aviv University. The project is guided by one formal principle: we pose the Socratic question "what is x?", and by one theatrical principle: the concepts defined should be relevant to political thought…."

[The conference is not unrelated to the New York Times  philosophy series "The Stone." Connoisseurs of coincidence— or, as Pynchon would have it, "chums of chance"— may read the conclusion of this series, titled "Stoned," in the light of the death on December 26th (St. Stephen's Day) of Matthew Lipman, creator of the "philosophy for children" movement. Many New York Times  readers will, of course, be ignorant of the death by stoning of St. Stephen

http://www.log24.com/log/pix11/110116-BeloitStoningSm.jpg

   Beloit College Nuremberg Chronicle

commemorated on December 26th. They should study Acts of the ApostlesChapter  6 and Chapter 7.]

Meanwhile, in this  journal—

Click to enlarge

http://www.log24.com/log/pix11/110116-ManhattanStarWarsSm.jpg

For some background on the Dec. 4th link to "Damnation Morning," see "Why Me?"

For some political background, see "Bright Star"+"Dark Lady" in this journal.

* The title refers to a story by Fritz Leiber.

Endings and Beginnings

Filed under: General — m759 @ 4:07 am

"Not any or every death is an end, or birth a beginning."

J. M. Bernstein, The Philosophy of the Novel

Some related philosophy in  a novel —

http://www.log24.com/log/pix11/110104-EnlargeThis.jpg

IMAGE- 'The Borrowed Heart' in Prince Ombra

For some background, see "New School for Social Research" and "Orozco" in this journal.

See also the brief biography of Bernstein in a document about a meeting last month
in the Orozco Room at the New School.

Friday, January 14, 2011

Mathematics and Narrative continues…

Filed under: General — m759 @ 11:07 pm

From 6/22, 2010 —

http://www.log24.com/log/pix10A/100622-StoryStatements.gif

    I would argue that at least sometimes, lottery numbers may be regarded,
    according to Bernstein's definition, as story statements.

From 7/02, 2010 —

http://www.log24.com/log/pix10A/100702-Mariani-TheCup.gif

Ironic Butterfly

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

David Brooks's column today quotes Niebuhr. From the same source—
Reinhold Niebuhr, The Irony of American History

Chapter 8: The Significance of Irony

Any interpretation of historical patterns and configurations raises the question whether the patterns, which the observer discerns, are "objectively" true or are imposed upon the vast stuff of history by his imagination. History might be likened to the confusion of spots on the cards used by psychiatrists in a Rorschach test. The patient is asked to report what he sees in these spots; and he may claim to find the outlines of an elephant, butterfly or frog. The psychiatrist draws conclusions from these judgments about the state of the patient’s imagination rather than about the actual configuration of spots on the card. Are historical patterns equally subjective?
….
The Biblical view of human nature and destiny moves within the framework of irony with remarkable consistency. Adam and Eve are expelled from the Garden of Eden because the first pair allowed "the serpent" to insinuate that, if only they would defy the limits which God had set even for his most unique creature, man, they would be like God. All subsequent human actions are infected with a pretentious denial of human limits. But the actions of those who are particularly wise or mighty or righteous fall under special condemnation. The builders of the Tower of Babel are scattered by a confusion of tongues because they sought to build a tower which would reach into the heavens.

Niebuhr's ironic butterfly may be seen in the context of last
Tuesday's post Shining and of last Saturday's noon post True Grid

http://www.log24.com/log/pix11/110114-AlderTilleyColored.gif

The "butterfly" in the above picture is a diagram showing the 12 lines* of the Hesse configuration from True Grid.

It is also a reference to James Hillman's classical image (see Shining) of the psyche, or soul, as a butterfly.

Fanciful, yes, but this is in exact accordance with Hillman's remarks on the soul (as opposed to the spirit— see Tuesday evening's post).

The 12-line butterfly figure may be viewed as related to the discussions of archetypes and universals in Hillman's Re-Visioning Psychology  and in Charles Williams's The Place of the Lion . It is a figure intended here to suggest philosophy, not entertainment.

Niebuhr and Williams, if not the more secular Hillman, might agree that those who value entertainment above all else may look forward to a future in Hell (or, if they are lucky, Purgatory). Perhaps such a future might include a medley of Bob Lind's "Elusive Butterfly" and Iron Butterfly's "In-a-Gadda-da-Vida."

* Three horizontal, three vertical, two diagonal, and four arc-shaped.

Tuesday, January 11, 2011

Toy Story Variations

Filed under: General — m759 @ 11:30 pm

Where Entertainment Is God  continues...

New York Lottery today— Midday 710, Evening 563.

This suggeests a scientific note from the date 7/10  (2009) and the page number 563 from Dec. 29

Bulletin of the American Mathematical Society , October 2002, p. 563:

“To produce decorations for their weaving, pottery, and other objects, early artists experimented with symmetries and repeating patterns.  Later the study of symmetries of patterns led to tilings, group theory, crystallography, finite geometries, and in modern times to security codes and digital picture compactifications.  Early artists also explored various methods of representing existing objects and living things.  These explorations led to… [among other things] computer-generated movies (for example, Toy Story ).”

– David W. Henderson, Cornell University

For a different perspective on Toy Story , see the Dec. 29 post.

Other entertainments — The novel Infinite Jest  and two versions of "Heeere's Johnny !" —

            From Stanley Kubrick and from today's New York Times :

http://www.log24.com/log/pix11/110111-ShiningJest.jpg

See also All Things Shining  and the lottery theology of Jorge Luis Borges.

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