Log24

Monday, July 31, 2006

Monday July 31, 2006

Filed under: General — m759 @ 3:17 pm
In memory of Kurt Kreuger
(see previous entry)

The Reluctant Dragon

in today’s Hagar the Horrible:

The image “http://www.log24.com/log/pix06A/060731-Dragon.jpg” cannot be displayed, because it contains errors.

Those who prefer higher culture
may consult

The Dragon in the Gate:
Studies in the Poetry
of G. M. Hopkins
,
by
Elisabeth Wintersteen Schneider.

Schneider’s title comes from a
description of Hopkins’s poem
The Wreck of the Deutschland.”

“This epic poem was described by perhaps his closest friend, Poet Laureate Robert Bridges, as, ‘the dragon folded at the gate to forbid all entrance’ to the appreciation of his other works. More favorable is the opinion of the most thorough of Hopkins’s critics, W. H. Gardner, who described it as a great symphony or overture, introducing his other works and not forbidding them.”

— “Fr. Gerard Manley Hopkins: Priest and Poet,”
     by Bro. Anthony Joseph

Related material:
Log24 entries of May 3, 2006.

Monday July 31, 2006

Filed under: General — m759 @ 2:00 am

For the feast of
St. Ignatius Loyola…

Final Arrangements,
continued:

 

“Now you has jazz.”
High Society, 1956 

The image “http://www.log24.com/log/pix06A/060731-Deaths.jpg” cannot be displayed, because it contains errors.

— Today’s online New York Times

Also from today’s
New York Times
:

The image “http://www.log24.com/log/pix06A/060731-Kreuger.gif” cannot be displayed, because it contains errors.

Kurt Kreuger
in the 1945 film
“Paris Underground.”
 
Kurt Kreuger,
a German-born actor
who reluctantly played
Nazi soldiers
in many films
about World War II,
died July 12 in
Beverly Hills, Calif.
He was 89.

Log24, Wednesday,
July 12, 2006
:

Band Numbers

“Some friends
 of mine
 are in
 this band…”

— David
   Auburn,
   Proof

Seven is Heaven
,
Eight is a Gate,
Nine is a Vine.

The Prime Powers

Related material:

A Log24 entry commemorating
the murder of six Jesuits
in El Salvador.

Sunday, July 30, 2006

Sunday July 30, 2006

Filed under: General — m759 @ 2:02 pm
Highway 61
Revisited


God say,
“You can do what you want
Abe, but the next time you
see me comin’ you better run.”

Today’s online New York Times:

The image “http://www.log24.com/log/pix06A/060730-Deaths.jpg” cannot be displayed, because it contains errors.

“On Highway 61 outside of
Natchez, Mississippi, stands

     Mammy’s Cupboard….”
American Heritage   
 
Flashback to July 2004:

Campaign Song

“All things return to the One.
 What does the One return to?”

— Zen koan, epigraph to
   The Footprints of God,
by Greg Iles of
Natchez, Mississippi

“Literature begins with geography.”

— attributed to Robert Frost

The aim
 was song

— Robert Frost

The image “http://www.log24.com/log/pix04A/040712-Mammys.jpg” cannot be displayed, because it contains errors.

Mammy’s Cupboard,
Natchez, Miss.

The image “http://www.log24.com/log/pix04A/040712-Jolson.jpg” cannot be displayed, because it contains errors.

Kerry-Edwards
Campaign Song

Sunday July 30, 2006

Filed under: General — m759 @ 2:56 am

History

From “Today in History,” by The Associated Press–

On this date (July 30):

In 1864, during the Civil War, Union forces tried to take Petersburg, Va., by exploding a mine under Confederate defense lines; the attack failed.”

“A nightmare” — Ulysses

Men ask the way to Cold Mountain.
Cold Mountain: there’s no through trail.
Han Shan

See also July 3, 2005.

Saturday, July 29, 2006

Saturday July 29, 2006

Filed under: General — Tags: , — m759 @ 5:01 pm

Dark Fields
of the Republic

Today’s birthday: Ken Burns

Charley Reese on the republic:

“The republic died at Appomattox, and it’s been empire ever since.”

Charley Reese on Lincoln:

“Washington and Jefferson created the republic; Lincoln destroyed it.”

In closing…

A link in memory of Donald G. Higman, dead on Feb. 13, 2006, the day after Lincoln’s birthday:

On the Graphs of Hoffman-Singleton and Higman-Sims (pdf)

His truth is marching on.

Saturday July 29, 2006

Filed under: General,Geometry — Tags: , , , , — m759 @ 2:02 pm

Big Rock

Thanks to Ars Mathematicaa link to everything2.com:

“In mathematics, a big rock is a result which is vastly more powerful than is needed to solve the problem being considered. Often it has a difficult, technical proof whose methods are not related to those of the field in which it is applied. You say ‘I’m going to hit this problem with a big rock.’ Sard’s theorem is a good example of a big rock.”

Another example:

Properties of the Monster Group of R. L. Griess, Jr., may be investigated with the aid of the Miracle Octad Generator, or MOG, of R. T. Curtis.  See the MOG on the cover of a book by Griess about some of the 20 sporadic groups involved in the Monster:

The image “http://www.log24.com/theory/images/TwelveSG.jpg” cannot be displayed, because it contains errors.

The MOG, in turn, illustrates (via Abstract 79T-A37, Notices of the American Mathematical Society, February 1979) the fact that the group of automorphisms of the affine space of four dimensions over the two-element field is also the natural group of automorphisms of an arbitrary 4×4 array.

This affine group, of order 322,560, is also the natural group of automorphisms of a family of graphic designs similar to those on traditional American quilts.  (See the diamond theorem.)

This top-down approach to the diamond theorem may serve as an illustration of the “big rock” in mathematics.

For a somewhat simpler, bottom-up, approach to the theorem, see Theme and Variations.

For related literary material, see Mathematics and Narrative and The Diamond as Big as the Monster.

“The rock cannot be broken.
It is the truth.”

Wallace Stevens,
“Credences of Summer”

 

Saturday July 29, 2006

Filed under: General — m759 @ 2:45 am
Quarter to Three
continued

Adapted from this morning’s
New York Times online:

Louise Bennett, storyteller

For a spider figure of
an (apparently) different sort,
 see Log24 on the morning
after the demise of
Hunter S. Thompson,
and the links given there.

Thursday, July 27, 2006

Thursday July 27, 2006

Filed under: General — m759 @ 11:11 pm

11:11

Thursday July 27, 2006

Filed under: General — m759 @ 9:29 pm
Real Numbers:


720,
513
 
(NY Lottery today)

“Was there really a cherubim
waiting at the star-watching rock…?
Was he real?
What is real?”

— Madeleine L’Engle,
A Wind in the Door,
quoted at math16.com

7/20:
Real

5/13:
A Fold in Time

 

Thursday July 27, 2006

Filed under: General — Tags: — m759 @ 5:09 pm

Number Sense

The NY lottery numbers for yesterday, 7/26, Jung's birthday, were 726 (mid-day) and 970 (evening).

We may view these numbers as representing the Jungian "sheep" and Freudian "goats" of yesterday's entry Partitions.

For the Jungian coincidence of 726 with 7/26, recall the NY lottery number 911 that was drawn on 9/11 exactly a year after the destruction of the World Trade Center. For more on this coincidence, see For Hemingway's Birthday: Mathematics and Narrative Continued (July 21, 2006).

For 970, Google reveals a strictly skeptical (i.e., like Freud, not Jung) meaning: 970 is the first page of the article "Sources of Mathematical Thinking," in Science, 7 May 1999: Vol. 284. no. 5416, pp. 970 – 974.

That article has been extensively cited in the scholarly literature on the psychology of mathematics.  Its lead author, Stanislas Dehaene, has written a book, The Number Sense.

What sense, if any, is made by 726 and 970?

The mid-day number again (see Hemingway's birthday) illustrates the saying

"Time and chance happeneth to them all."

The evening number again illustrates the saying

"Though truth may be very hard to find in the pages of most books, the page numbers are generally reliable."

— Steven H. Cullinane,
   Zen and Language Games

These sayings may suit the religious outlook of Susan Blackmore, source (along with Matthew 25:31-46) of the sheep/goats partition in yesterday's entry on that topic.  She herself, apparently a former sheep, is now a goat practicing Zen.

Update of later the same evening–

On Space, Time, Life, the Universe, and Everything:

Note that the "sheep" number 726 has a natural interpretation as a date– i.e., in terms of time, while the "goat" number 970 has an interpretation as a page number– i.e., in terms of space.  Rooting, like Jesus and St. Matthew, for the sheep, we may interpret both of today's NY lottery results as dates, as in the next entry, Real Numbers.  That entry may (or may not) pose (and/or answer) The Ultimate Question. Selah.

Wednesday, July 26, 2006

Wednesday July 26, 2006

Filed under: General,Geometry — m759 @ 7:20 pm

Venus at St. Anne’s
(Title of the closing chapter
of That Hideous Strength)

Star and Diamond

Symbol of Venus
and
Symbol of Plato

“What do they
teach them
   at these schools?”
— C. S. Lewis

Today is the
feast of St. Anne.

Wednesday July 26, 2006

Filed under: General — Tags: — m759 @ 1:44 pm
Partitions,
continued

"Mistakes are inevitable and may be either in missing a true signal or in thinking there is a signal when there is not. I am suggesting that believers in the paranormal (called 'sheep' in psychological parlance) are more likely to make the latter kind of error than are disbelievers (called 'goats')."

— "Psychic Experiences:
     Psychic Illusions,"
     by Susan Blackmore,
     Skeptical Inquirer, 1992

For Harvard mathematician
Frederick Mosteller,
dead on Sunday, July 23, 2006:
 
"… a drama built out of nothing
but numbers and imagination"

— Freeman Dyson, quoted in Log24
on the day Mosteller died

From Log24 on
Mosteller's last birthday,
December 24, 2005:

The Club Dumas

by Arturo Perez-Reverte

One by one, he tore the engravings from the book, until he had all nine.  He looked at them closely.  "It's a pity you can't follow me where I'm going.  As the fourth engraving states, fate is not the same for all."

"Where do you believe you're going?"

Borja dropped the mutilated book on the floor with the others. He was looking at the nine engravings and at the circle, checking strange correspondences between them.

"To meet someone" was his enigmatic answer. "To search for the stone that the Great Architect rejected, the philosopher's stone, the basis of the philosophical work. The stone of power. The devil likes metamorphoses, Corso."

"Only gradually did I discover
what the mandala really is:
'Formation, Transformation,
Eternal Mind's eternal recreation'"
(Faust, Part Two)

Carl Gustav Jung,   
born on this date

Today's other birthday:
Mick Jagger

"Pleased to meet you,
hope you guess my name."

Wednesday July 26, 2006

Filed under: General,Geometry — m759 @ 5:00 am

Jung’s Birthday, 5 AM:

Inscape

Inscape2.gif

Wednesday July 26, 2006

Filed under: General — m759 @ 4:00 am

Jung’s Birthday, 4 AM:

Jung on the Trinity
and Quaternity

Wednesday July 26, 2006

Filed under: General — m759 @ 3:00 am

Jung’s Birthday, 3 AM:

The Shape of God:
Deepening the Mystery
of the Trinity

Monday, July 24, 2006

Monday July 24, 2006

Filed under: General — m759 @ 3:17 pm
Shine on, you…

The image “http://www.log24.com/log/pix06A/060724-Theatre2.jpg” cannot be displayed, because it contains errors.

Tom Stoppard and an ad for a concert
in Pribor, Czech Republic,
birthplace of Sigmund Freud

Related material:

The image “http://www.log24.com/log/pix06A/DarkSideOfTheMoon.jpg” cannot be displayed, because it contains errors.

and the five Log24 entries
ending on this date last year.

Chapter 24

By Syd Barrett,
Dead Poet:

A movement is accomplished in six stages
And the seventh brings return.
The seven is the number of the young light
It forms when darkness is increased by one.
Change returns success
Going and coming without error.
Action brings good fortune.
Sunset.

— From the 1967 album
   “The Piper at the Gates of Dawn

Monday July 24, 2006

Filed under: General — m759 @ 1:00 pm

Discourse Analysis

Edward Rothstein in today’s New York Times, reviewing Evil Incarnate (Princeton University Press):

“… the most decisive aspect of the myth is that it is, literally, a myth. Every single example of evil he gives turns out to be evil imagined: there is, he says, no evidence for any of it. Evil, he argues, is not something real, it is a ‘discourse,’ a ‘way of representing things and shaping our experience, not some force in itself.'”

Related material:

A review (pdf) by Steven G. Krantz of Charles Wells’s A Handbook of Mathematical Discourse (Notices of the American Mathematical Society, September 2004):

“Ambrose Bierce’s Devil’s Dictionary is a remarkable and compelling piece of writing because of its searing wit and sardonic take on life. Bierce does not define any new words. He instead gives deadly interpretations of very familiar words. Wells’s book does not fit into the same category of literary effort.”

For literary efforts perhaps more closely related to Bierce’s, see Mathematics and Narrative and the five Log24 entries ending on this date last year.

Sunday, July 23, 2006

Sunday July 23, 2006

Filed under: General,Geometry — m759 @ 2:56 pm

Dance of the Numbers, continued:

Partitions

Freeman Dyson on the role of the “crank” in the theory of partitions:

“‘Each step in the story is a work of art,’ Dyson says, ‘and the story as a whole is a sequence of episodes of rare beauty, a drama built out of nothing but numbers and imagination.'”

Erica Klarreich in
    Science News Online, week of
    June 18, 2005, quoted in
   “In Honor of Freeman Dyson’s Birthday:
    Dance of the Numbers
    (Log24, Dec. 15, 2005)

Paraphrase of Freeman Dyson’s remarks in The New York Review of Books, issue dated May 28, 1998:

“Theology is about words; science is about things.

“What is 256 about?”
Reply to Freeman Dyson,
    (May 15, 1998)

A partial answer to that rhetorical question: 256 is the cardinality of the power set of an 8-set.

For the role played by 8-sets and by 23 (today’s date) in partitions of a different sort, see Geometry of the 4×4 Square.

Saturday, July 22, 2006

Saturday July 22, 2006

Filed under: General — m759 @ 9:00 pm
Today’s Saint as
The Dark Lady:

Mary Magdalene
(Portrait by Nikos Kazantzakis
and Martin Scorsese):

The image “http://www.log24.com/log/pix06A/060722-Hershey1.jpg” cannot be displayed, because it contains errors.

“Magdalene lay on her back, stark naked, drenched in sweat, her raven-black hair spread out over the pillow and her arms entwined beneath her head.  Her face was turned toward the wall and she was yawning.  Wrestling with men on this bed since dawn had tired her out.”

— Nikos Kazantzakis,
   The Last Temptation of Christ

Related material:

Time and Chance

   (See yesterday’s entry.) 

Time:
NY lottery mid-day today:
606
(See morning of 6/6.)

Chance:
NY lottery this evening:
017
(See Art Wars: Just Seventeen.)

Friday, July 21, 2006

Friday July 21, 2006

Filed under: General — m759 @ 1:00 pm

For Hemingway’s birthday:

Mathematics and Narrative, continued

“We know many little things about the relation between mathematics and narrative, but lack one big comprehensive insight.”

— John Allen Paulos (pdf)

“On Wednesday, Sept. 11, 2002– 9/11/02– the New York State lottery numbers were 911, an eerie coincidence that set many people to thinking or, perhaps more accurately, to not thinking.”

—  John Allen Paulos

“Time and chance happeneth to them all.”

— Ecclesiastes 9:11

Thursday, July 20, 2006

Thursday July 20, 2006

Filed under: General — Tags: , , , — m759 @ 2:00 am

Bead Game

Those who clicked on Rieff’s concept in the previous entry will know about the book that Rieff titled Sacred Order/Social Order: My Life among the Deathworks.

That entry, from Tuesday, July 18, was titled “Sacred Order,” and gave as an example the following figure:

The image “http://www.log24.com/log/pix06A/060604-Roots.jpg” cannot be displayed, because it contains errors.
(Based on Weyl’s Symmetry)

For the use of this same figure to represent a theatrical concept–

“It’s like stringing beads on a necklace. By the time the play ends, you have the whole necklace.”

— see Ursprache Revisited (June 9, 2006).

Of course, the figure also includes a cross– or “deathwork”– of sorts.  These incidental social properties of the figure (which is purely mathematical in origin) make it a suitable memorial for a theatre critic who died on the date of the previous entry– July 18– and for whom the American Theatre Wing’s design awards, the Henry Hewes Awards, are named.

“The annual awards honor designers… recognizing not only the traditional design categories of sets, costumes and lighting, but also ‘Notable Effects,’ which encompasses sound, music, video, puppets and other creative elements.” —BroadwayWorld.com

For more on life among the deathworks, see an excellent review of the Rieff book mentioned above.

 

Tuesday, July 18, 2006

Tuesday July 18, 2006

Filed under: General,Geometry — Tags: , , , — m759 @ 1:00 pm

Sacred Order

In memory of Philip Rieff, who died on July 1, 2006:

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Related material:

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and

The image ?http://www.log24.com/theory/images/MySpace.jpg? cannot be displayed, because it contains errors.

For details, see the
five Log24 entries ending
on the morning of
Midsummer Day, 2006.

Thanks to University Diaries for pointing out the essay on Rieff.
 
That essay says Rieff had "a dense, knotty, ironic style designed to warn off impatient readers. You had to unpack his aphorisms carefully. And this took a while. As a result, his thinking had a time-release effect." Good for him.  For a related essay (time-release effect unknown), see Hitler's Still Point: A Hate Speech for Harvard.

Monday, July 17, 2006

Monday July 17, 2006

Filed under: General — m759 @ 6:06 pm

Today is the feast of
St. James McNeill Whistler.

“Nature contains the elements of color and form of all pictures– as the keyboard contains the notes of all music– but the artist is born to pick, and choose, and group with science, these elements, that the result may be beautiful–  as the musician gathers his notes, and forms his chords, until he brings forth from chaos, glorious harmony.”

— Whistler, “The Ten O’Clock

Sunday, July 16, 2006

Sunday July 16, 2006

Filed under: General — m759 @ 3:17 pm

Mathematics and Narrative
continued…

“Now, at the urging of the UC Berkeley cognitive linguist George Lakoff, liberal America’s guru of the moment, progressive Democrats are practicing to get their own reluctant mouths around some magical new vocabulary, in the hope of surviving and eventually overcoming the age of Bush.”

Marc Cooper in The Atlantic Monthly, April 2005, “Thinking of Jackasses: The Grand Delusions of the Democratic Party”

Cooper’s “now” is apparently still valid. In today’s New York Times, the leftist Stanley Fish reviews Talking Right, by leftist Geoffrey Nunberg:

“… the right’s language is now the default language for everyone.
     On the way to proposing a counterstrategy (it never really arrives), Nunberg pauses to engage in a polite disagreement with his fellow linguist George Lakoff, who has provided a rival account of the conservative ascendancy. Lakoff argues that Republicans have articulated– first for themselves and then for others– a conceptual framework that allows them to unite apparently disparate issues in a single coherent worldview …  woven together not in a philosophically consistent framework but in a narrative ‘that creates an illusion of coherence.’
     Once again, the Republicans have such a narrative– ‘declining patriotism and moral standards, the out-of-touch media and the self-righteous liberal elite … minorities demanding special privileges … disrespect for religious faith, a swollen government’– but ‘Democrats and liberals have not offered compelling narratives that could compete’ with it. Eighty pages later he is still saying the same thing. ‘The Democrats need a compelling narrative of their own.'”

Lakoff is the co-author of a book on the philosophy of mathematics, Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being.  From Wikipedia’s article on Lakoff:

“According to Lakoff, even mathematics itself is subjective to the human species and its cultures: thus ‘any question of math’s being inherent in physical reality is moot, since there is no way to know whether or not it is.’ Lakoff and Rafael E. Nunez (2000) argue at length that mathematical and philosophical ideas are best understood in light of the embodied mind. The philosophy of mathematics ought therefore to look to the current scientific understanding of the human body as a foundation ontology, and abandon self-referential attempts to ground the operational components of mathematics in anything other than ‘meat.'”

For a long list of related leftist philosophy, see The Thinking Meat Project.

Democrats seeking narratives may also consult The Carlin Code and The Prime Cut Gospel.
 

Saturday, July 15, 2006

Saturday July 15, 2006

Filed under: General — m759 @ 3:26 pm
Ein Bild

From 6/6/6:

Und was fur
ein Bild des Christentums 
ist dabei herausgekommen?

From this date last year:

   

The image “http://www.log24.com/log/pix05A/050703-Cold.jpg” cannot be displayed, because it contains errors.

Adapted from cover of
German edition of Cold Mountain

Saturday July 15, 2006

Filed under: General — m759 @ 12:00 am

Today’s birthday:
Linda Ronstadt is 60.

“Elegant as a slow blues.”
— Review of a writer
    by Rolling Stone

Just send me black roses
White rhythm and blues
And somebody who cares when you lose
Black roses, white rhythm and blues
Black roses, white rhythm and blues

— Linda Ronstadt song
   by J. D. Souther, from
   Living in the USA, 1978

Friday, July 14, 2006

Friday July 14, 2006

Filed under: General — m759 @ 12:00 am
Assigned Names
and Numbers

“What do you hear when you listen?”
“Like the wind in a thousand wires.”

— “Fee-5,” a character in  
Alfred Bester’s 1975
The Computer Connection

From Robert A. Heinlein’s
1963 Glory Road:

“I have many names.
What would you like
to call me?”

From the Web:

The image “http://www.log24.com/log/pix06A/060714-Esther.jpg” cannot be displayed, because it contains errors.

(Former Chairman of the Board
of the
Internet Corporation for
Assigned Names and Numbers)

Happy birthday, Star.

Related material:
Log24, July 14-15, 2004

Thursday, July 13, 2006

Thursday July 13, 2006

Filed under: General — m759 @ 7:00 pm

Chapter 24

By Syd Barrett,
Dead Poet

A movement is accomplished in six stages
And the seventh brings return.
The seven is the number of the young light
It forms when darkness is increased by one.
Change returns success
Going and coming without error.
Action brings good fortune.
Sunset.

— From the 1967 album
   “The Piper at the Gates of Dawn

Thursday July 13, 2006

Filed under: General — m759 @ 5:45 pm

Longest Day’s Journey

BY BOB THOMAS, LOS ANGELES
July 13, 2006 (AP)– Red Buttons, the carrot-topped burlesque comedian who became a top star in early television and then in a dramatic role won the 1957 Oscar as supporting actor in “Sayonara,” died Thursday [July 13, 2006]. He was 87. —San Francisco Chronicle

The image “http://www.log24.com/log/pix06A/060713-Buttons2.gif” cannot be displayed, because it contains errors.

Sayonara.

Thursday July 13, 2006

Filed under: General — m759 @ 4:00 pm
Carpe Diem

From the new MySpace.com
weblog of Michio Kaku:

Thursday, July 13, 2006

Hyperspace and a Theory of Everything

What lies beyond our 4 dimensions?
By Michio Kaku

When I was a child, I used to visit the Japanese Tea Garden in San Francisco. I would spend hours fascinated by the carp, who lived in a very shallow pond just inches beneath the lily pads, just beneath my fingers, totally oblivious to the universe above them.

I would ask myself a question only a child could ask: what would it be like to be a carp?

 
A child, or Maurits Escher:

The image “http://www.log24.com/log/pix06A/060713-ThreeWorlds.jpg” cannot be displayed, because it contains errors.
Three Worlds,
1955

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