Log24

Saturday, April 30, 2011

Crimson Walpurgisnacht

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

Part I — Unity and Multiplicity
              (Continued from The Talented and Galois Cube)

On Husserl's 'Philosophie der Arithmetik'- 'A feeling, an angel, the moon, and Italy'

Part II — "A feeling, an angel, the moon, and Italy"—

Click for details

Dean Martin and Peter Lawford in Crimson ad for 2011 Quincy House Q-Ball

Sabato Tombstone

Filed under: General — m759 @ 8:28 pm

IMAGE- Sabato on his own tombstone in 'Angel of Darkness'

Related material:
  (Click images for details) —

IMAGE- The number 11 formed by twin switchblades, '12 Angry Men'

Exhibit B

IMAGE- Julie Taymor

Julie Taymor

  IMAGE- Hexagram 11: PEACE
Plato, Pegasus, and
the Evening Star

Happy Walpurgisnacht

Filed under: General — Tags: — m759 @ 10:00 am

A film by Julie Taymor,
Across the Universe


Across the Universe DVD

Detail of the
Strawberry Fields Forever
Sacred Heart


Strawberry Fields Sacred Heart from 'Across the Universe'


A song:

Julie Taymor

Julie Taymor

"Shinin' like a diamond,
she had tombstones
in her eyes.
"

Album "The Dark,"
by Guy Clark

Friday, April 29, 2011

Times Square Church

Filed under: General — m759 @ 11:11 pm

"For Mr. Lumet, location mattered deeply."

April 9th online New York Times

"That old Jew gave me this here."

A Flag for Sunrise

http://www.log24.com/log/pix11A/110428-ExhibitB.gif

http://www.log24.com/log/pix11A/110429-NYTobits1031PM-Thumb.jpg

Larger image (1.5 MB)

Thursday, April 28, 2011

Bridal Birthday

Filed under: General — Tags: — m759 @ 11:02 pm

The Telegraph , April 29th

Catherine Elizabeth "Kate" Middleton, born 9 January 1982,
will marry Prince William of Wales on April 29th, 2011.

This suggests, by a very illogical and roundabout process
of verbal association, a search in this journal.

A quote from that search—

“‘Memory is non-narrative and non-linear.’
— Maya Lin in The Harvard Crimson , Friday, Dec. 2, 2005

A non-narrative image from the same
general time span as the bride's birthday—

IMAGE- 'Solid Symmetry' by Steven H. Cullinane, Dec. 24, 1981

For some context, see Stevens + "The Rock" + "point A".
A post in that search, April 4th's Rock Notes, links to an essay
on physics and philosophy, "The Discrete and the Continuous," by David Deutsch.

See also the article on Deutsch, "Dream Machine," in the current New Yorker 
(May 2, 2011), and the article's author, "Rivka Galchen," in this journal.

Galchen writes very well. For example —

Galchen on quantum theory

"Our intuition, going back forever, is that to move, say, a rock, one has to touch that rock, or touch a stick that touches the rock, or give an order that travels via vibrations through the air to the ear of a man with a stick that can then push the rock—or some such sequence. This intuition, more generally, is that things can only directly affect other things that are right next to them. If A affects B without  being right next to it, then the effect in question must be in direct—the effect in question must be something that gets transmitted by means of a chain of events in which each event brings about the next one directly, in a manner that smoothly spans the distance from A to B. Every time we think we can come up with an exception to this intuition—say, flipping a switch that turns on city street lights (but then we realize that this happens through wires) or listening to a BBC radio broadcast (but then we realize that radio waves propagate through the air)—it turns out that we have not, in fact, thought of an exception. Not, that is, in our everyday experience of the world.

We term this intuition 'locality.'

Quantum mechanics has upended many an intuition, but none deeper than this one."

26 Today

Filed under: General,Geometry — Tags: , — m759 @ 9:29 pm

Click to enlarge

http://www.log24.com/log/pix11A/110428-GenTheOG.jpg

For some background, see a search here for Octad Generator.

Crimson Tide…

Filed under: General — Tags: — m759 @ 3:59 pm

A sequel to Wednesday afternoon's post on The Harvard Crimson ,
Atlas Shrugged (illustrated below) —

http://www.log24.com/log/pix11A/110427-CrimsonAtlas500w.jpg

Related material found today in Wikipedia—

A defense of Rubik by 'Pazouzou'

See also Savage Logic (Oct. 19, 2010), as well as
Stellan Skarsgård in Lie Groups for Holy Week (March 30, 2010)
and in Exorcist: The Beginning (2004).

Hard Bargain

Filed under: General — m759 @ 1:31 am

Continued from Good Friday

Emmylou Harris and Rivka Galchen in the May 2, 2011 New Yorker

The New Yorker , in the above excerpt, says of David Deutsch that
"his books have titles of colossal confidence
('The Fabric of Reality,' 'The Beginning of Infinity')."

The Fabric of Reality — A post from Good Friday

Friday, April 22, 2011

Hard Bargain

m759 @ 11:01 PM

In memory of Hazel Dickens, two links —
Unique Figure and Hello Stranger .

Weepin' like a willow, mournin' like a dove
Weepin' like a willow, mournin' like a dove
There's a girl of the country
That I really love

The Beginning of Infinity — Another Good Friday death—

Sidney Michaels, adapter of the 1962 play "Tchin-Tchin."

"At play's end they are Chaplinesque waifs living in the charmed circle
of innocents that includes saints, children, drunkards and madmen.
Subliminally, Tchin-Tchin is a Christian existential fable." — TIME

Wednesday, April 27, 2011

Atlas Shrugged

Filed under: General — m759 @ 3:48 pm

The title refers to an article in The Harvard Crimson , "Atlas to the Text," on March 8, 2011.

http://www.log24.com/log/pix11A/110427-CrimsonAtlas500w.jpg

"Atlas to the Text," by Nicholas T. Rinehart —

"… a small set of undergraduates culminate their academic careers with a translation thesis. Ford is one such student, currently completing her edition of Euripides’ 'The Bacchae,' a Greek tragedy centered on the god Dionysus’ revenge against his mortal family."

Wikipedia on " The Bacchae"

"The guards return with Dionysus himself, disguised as his priest and the leader of the Asian maenads. Pentheus questions him, still not believing that Dionysus is a god. However, his questions reveal that he is deeply interested in the Dionysiac rites, which the stranger refuses to reveal fully to him. This greatly angers Pentheus, who has Dionysus locked up. However, being a god, he is quickly able to break free and creates more havoc, razing the palace of Pentheus to the ground in a giant earthquake and fire."

The illustration for the Crimson  article formed part of a post in this journal, Paradigms Lost, on March 10—

http://www.log24.com/log/pix11A/110427-ParadigmsLost.jpg

Block That Metaphor–

Filed under: General,Geometry — Tags: — m759 @ 4:00 am

A Note on Galois Geometry

 Simple groups as the
"building blocks of group theory"

(Click image to enlarge.)

http://www.log24.com/log/pix11A/110427-BlocksOfGroupTheory-Sm.jpg

 Points,  lines,  etc., as the
"building blocks of geometry"

http://www.log24.com/log/pix11A/110427-BlocksOfGeometry-Sm.jpg

Related material —

(Click images for some background.)

Building blocks and
a simple group—

http://www.log24.com/log/pix11A/110427-genrefl3.jpg

 

Building blocks and
geometry—

http://www.log24.com/log/pix11A/110427-CubesPlane1.gif

The Meadow

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

From Nabokov's The Gift

http://www.log24.com/log/pix11A/110427-ApolloButterflyNabokov.jpg

Click for more about the Pushkin verse.

See also Trevanian + meadow and Congregated Light.

Tuesday, April 26, 2011

25 Years Ago Today

Filed under: General,Geometry — m759 @ 11:02 pm

Picturing the smallest projective 3-space

       Click to enlarge.

The above points and hyperplanes underlie the symmetries discussed
in the diamond theorem. See The Oslo Version  and related remarks
for a different use in art.

Unity and Multiplicity

Filed under: General,Geometry — m759 @ 5:48 pm

Today's earlier post mentions one approach to the concepts of unity and multiplicity. Here is another.

http://www.log24.com/log/pix11A/110427-Cube27.jpg
Unity:
The 3×3×3 Galois Cube

Ed Pegg Jr.'s program at Wolfram demonstrating concepts of a 1985 note by Cullinane

Multiplicity:

One of a group, GL(3,3), of 11,232
natural transformations of the 3×3×3 Cube

See also the earlier 1985 3×3 version by Cullinane.

The Talented

Filed under: General — Tags: — m759 @ 3:00 am

"It's going to be accomplished in steps, this establishment of the Talented in the scheme of things."
— Anne McCaffrey, Radcliffe ’47, To Ride Pegasus

"Character, as we have stated, is revealed through action.
We are not yet telepathic; we must embody even the most intellectual traits
and express them physically."
The Craftsmen of Dionysus: An Approach to Acting  by Jerome Rockwood

http://www.log24.com/log/pix11A/110426-ApolloAndDionysus.jpg

Dionysus Meets Apollo
in "Thirty Two Short Films About Glenn Gould"—

Step I — Tiny Dancer in My Hand (0.48.46)

http://www.log24.com/log/pix11A/110426-0.48.46-TinyDancerInMyHand-Sm.jpg

Step II — The Bridge (0.52.46)

http://www.log24.com/log/pix11A/110426-0.52.46-IdeaOfNorth-Bridge-Sm.jpg

Step III — Liftoff (1.27.37)

http://www.log24.com/log/pix11A/110426-1.27.37-Liftoff-Sm.jpg

Monday, April 25, 2011

The Kristen Effect

Filed under: General — m759 @ 10:31 pm

From the author of The Abacus Conundrum

http://www.log24.com/log/pix10B/101206-AbacusConundrum.jpg

Harlan Kane's sequel to The Apollo Meme

THE KRISTEN EFFECT

IMAGE- Kristen Wiig, 'Cock and Bull Story'

"Thus the universal mutual attraction between the sexes is represented."
Hexagram 31

The Apollo* Meme

Filed under: General — m759 @ 9:00 pm

In the May Smithsonian  magazine— "What Defines a Meme?"

Related — Seven is Heaven

Seven is Heaven...

* For the connection to Apollo, see Oct. 9, 2006.

Poetry and Physics

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

One approach to the storied philosophers' stone, that of Jim Dodge in Stone Junction , was sketched in yesterday's Easter post. Dodge described a mystical "spherical diamond." The symmetries of the sphere form what is called in mathematics a Lie group . The "spherical" of Dodge therefore suggests a review of the Lie group Ein Garrett Lisi's poetic theory of everything.

A check of the Wikipedia article on Lisi's theory yields…

http://www.log24.com/log/pix11A/110425-WikipediaE8.jpg

       Diamond and E8 at Wikipedia

Related material — Eas "a diamond with thousands of facets"—

http://www.log24.com/log/pix11A/110425-Kostant.jpg

Also from the New Yorker  article

“There’s a dream that underlying the physical universe is some beautiful mathematical structure, and that the job of physics is to discover that,” Smolin told me later. “The dream is in bad shape,” he added. “And it’s a dream that most of us are like recovering alcoholics from.” Lisi’s talk, he said, “was like being offered a drink.”

A simpler theory of everything was offered by Plato. See, in the Timaeus , the Platonic solids—

Platonic solids' symmetry groups

Figure from this journal on August 19th, 2008.
See also July 19th, 2008.

It’s all in Plato, all in Plato:
bless me, what do  they
teach them at these schools!”
— C. S. Lewis

Sunday, April 24, 2011

Romancing the Metaphor

Filed under: General — Tags: — m759 @ 2:24 pm

Background —

From a 1990 novel —
http://www.log24.com/log/pix11A/110424-StoneJunction.jpg

Saturday, April 23, 2011

Vigil

Filed under: General — m759 @ 7:59 pm

"The Easter Vigil is the most important liturgy on the church's calendar, when the faithful mark the passage from Christ's death to his resurrection on Easter Sunday. It is rich with symbols: fire and light signifying Jesus' resurrection, and the water used to baptize people into the faith….

This year, students of the Legion of Christ, the conservative order undergoing a major Vatican-mandated overhaul, provided the liturgical service at the vigil. The Vatican took over the Legion last May 1 after confirming its founder was a pedophile."

AP story

See also Naples in this journal.

Damnation Morning (continued)

Filed under: General — Tags: — m759 @ 5:24 am

Background— Why Me? and the Fritz Leiber story "Damnation Morning."

The story, about the afterlife of a dead drunk, contains an intriguing dark lady.

Related material — Search for the Spider Woman.

See also Julie Taymor in an interview published last Dec. 12 —

“I’ve got two Broadway shows, a feature film, and Mozart,’’ she said.
“It’s a very interesting place to be and to be able to move back and forth,
but at a certain point you have to be able to step outside and see,’’
and here she dropped her voice to a tranquil whisper, “it’s just theater.
It’s all theater. It’s all theater. The whole thing is theater.’’

— and search for Taymor + Spider in this journal.

Happy Shakespeare's Birthday.

The Harrowing

Filed under: General — m759 @ 4:28 am

"Oh Death oh Death please let me see
If Christ has turned his back on me
When you were called and asked to bow
You wouldn’t take heed
And it’s too late now

Oh Death oh Death please give me time
To fix my heart and change my mind
Your mind is fixed
Your heart is bound
And I have the shackles to drag you down

Farewell, farewell
To all farewell
My doom is fixed
I’m summoned to hell
As long as God
In heaven shall dwell
My soul my soul shall scream in hell"

— Sung by Hazel Dickens in "Songcatcher"

The rest of the lyrics, and a video, may be found
at PaganSpace.net — "The Meeting Place for the Occult Community."

See also Harrowing in this journal.

Friday, April 22, 2011

Hard Bargain

Filed under: General — m759 @ 11:01 pm

In memory of Hazel Dickens, two links — Unique Figure and Hello Stranger .

Weepin' like a willow, mournin' like a dove
Weepin' like a willow, mournin' like a dove
There's a girl of the country
That I really love

Romancing the Hyperspace

Filed under: General,Geometry — Tags: — m759 @ 7:59 pm

For the title, see Palm Sunday.

"There is a pleasantly discursive treatment of
Pontius Pilate's unanswered question 'What is truth?'" — H. S. M. Coxeter, 1987

From this date (April 22) last year—

Image-- examples from Galois affine geometry

Richard J. Trudeau in The Non-Euclidean Revolution , chapter on "Geometry and the Diamond Theory of Truth"–

"… Plato and Kant, and most of the philosophers and scientists in the 2200-year interval between them, did share the following general presumptions:

(1) Diamonds– informative, certain truths about the world– exist.
(2) The theorems of Euclidean geometry are diamonds.

Presumption (1) is what I referred to earlier as the 'Diamond Theory' of truth. It is far, far older than deductive geometry."

Trudeau's book was published in 1987. The non-Euclidean* figures above illustrate concepts from a 1976 monograph, also called "Diamond Theory."

Although non-Euclidean,* the theorems of the 1976 "Diamond Theory" are also, in Trudeau's terminology, diamonds.

* "Non-Euclidean" here means merely "other than  Euclidean." No violation of Euclid's parallel postulate is implied.

Trudeau comes to reject what he calls the "Diamond Theory" of truth. The trouble with his argument is the phrase "about the world."

Geometry, a part of pure mathematics, is not  about the world. See G. H. Hardy, A Mathematician's Apology .

Romancing the Symmetry

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

From a story about mathematician Emmy Noether and 1882, the year she was born—

"People were then slowly becoming 'modern'— fortunately they had finally discovered not just that there are no Easter bunnies and Santa Claus, but also that there probably never were women who were led to evil ways by their curiosity and ended up, depending on their level of education, as common witches, as 'wiccans,' or as those particularly mysterious 'benandanti.'"

"… in the Balkans people believe that the souls of the dead rise to heaven in the guise of butterflies."

— "The Fairytale of the Totally Symmetrical Butterfly," by Dietmar Dath, in Intoxicating Heights  (Eichborn AG, Frankfurt 2003)

An insect perhaps more appropriate for the afternoon of Good Friday— the fly in the logo of Dath's publisher

http://www.log24.com/log/pix11/110422-EichbornLogo.jpg

Related material— Holy Saturday of 2004 and Wittgenstein and the Fly Bottle.

(After clicking, scroll down to get past current post.)

http://www.log24.com/log/pix11/110422-WittgensteinFly.jpg http://www.log24.com/log/pix11/110422-DTfly.gif

Thursday, April 21, 2011

Spaghetti Junction

Filed under: General — m759 @ 7:59 pm

Literary remarks for Maundy Thursday—

IMAGE- 'It was a perfectly ordinary night at Christ's high table....'

      — C. P. Snow, foreword to G. H. Hardy's A Mathematician's Apology

Related material—

Emory University press release of January 20th, 2011:

"In 1937, Hans Rademacher found an exact formula for calculating partition values. While the method was a big improvement over Euler's exact formula, it required adding together infinitely many numbers that have infinitely many decimal places. 'These numbers are gruesome,' Ono says….

… The final eureka moment occurred near another Georgia landmark: Spaghetti Junction. Ono and Jan Bruinier were stuck in traffic near the notorious Atlanta interchange. While chatting in the car, they hit upon a way to overcome the infinite complexity of Rademacher's method. They went on to prove a formula that requires only finitely many simple 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….'"

See also this journal on April 15 and a Google Groups [sage-devel] thread, Ono-Bruinier partition formula. That thread started on April 15 and was last updated this morning.

Wednesday, April 20, 2011

ART WARS continued

Filed under: General — m759 @ 9:00 pm

Part I— A Naples, Florida obituary for artist Robert Vickrey, who died Sunday.
            (See also this evening's earlier post Soul Art.)

Part II— "Stairway to Heaven," by Vickrey

Part III— Definition of "cornette"

Part IV— Recent photo of artist Josefine Lyche

Soul Art

Filed under: General — m759 @ 8:16 pm

http://www.log24.com/log/pix11/110420-VickreyButterfly.jpg

Picture by Robert Vickrey.
Vickrey died Sunday.
See Sunday School.

Ready When You Are, C.B.

Filed under: General — m759 @ 1:00 pm

This journal at 5:48 PM EST on Thursday, March 10, 2011—

Paradigms Lost

(Continued from February 19)

The cover of the April 1, 1970 second edition of
The Structure of Scientific Revolutions
, by Thomas S. Kuhn—

IMAGE- Cover of second edition of Kuhn's 'Structure of Scientific Revolutions'

Note the quote on the cover—

"A landmark in intellectual history."— Science

This afternoon's online New York Times

http://www.log24.com/log/pix11/110420-TsunamiStone.jpg

Google today, asked to "define:landmark," yields—

  • A boundary line indicated by a stone, stake, etc.
    (Deu 19:14; Deu 27:17; Pro 22:28; Pro 23:10; Job 24:2).
    Landmarks could not be removed without incurring the severe displeasure of God.
    sacred-texts.com/bib/ebd/ebd223.htm

Romancing the Cube

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

It was a dark and stormy night…

http://www.log24.com/log/pix11/110420-DarkAndStormy-Logicomix.jpg

— Page 180, Logicomix

“… the class of reflections is larger in some sense over an arbitrary field than over a characteristic zero field.”

– Julia Hartmann and Anne V. Shepler, “Jacobians of Reflection Groups

For some context, see the small cube in “A Simple Reflection Group of Order 168.”

See also the larger cube in “Many Dimensions” + Whitehead in this journal (scroll down to get past the current post).

That search refers to a work by Whitehead published in 1906, the year at the top of the Logicomix  page above—

http://www.log24.com/log/pix11/110420-Whitehead1906Axioms.jpg

A related remark on axiomatics that has metaphysical overtones suitable for a dark and stormy night

“An adequate understanding of mathematical identity requires a missing theory that will account for the relationships between formal systems that describe the same items. At present, such relationships can at best be heuristically described in terms that invoke some notion of an ‘intelligent user standing outside the system.'”

— Gian-Carlo Rota, “Syntax, Semantics, and…” in Indiscrete Thoughts . See also the original 1988 article.

Tuesday, April 19, 2011

Romancing the Omega

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

Today's news from Oslo suggests a review—

Image- Josefine Lyche work (with 1986 figures by Cullinane) in a 2009 exhibition in Oslo

Click for further details.

The circular sculpture in the foreground
is called by the artist "The Omega Point."
This has been described as
"a portal that leads in or out of time and space."

Some related philosophical remarks—

Oslo Connection and some notes on Galois connections.

Older Posts »

Powered by WordPress