Tuesday, June 4, 2013

Eight is a Gate

Filed under: General — m759 @ 7:59 PM


A review of Beautiful Mathematics  for 8 PM. 

The corrected index the reviewer links to is here.
As a June 1 post shows, it is not corrected enough .

The review is dated March 16, 2012.
See this journal on that date.

See also Good Bye, Marty.

Wednesday, December 7, 2011

Eight is a Gate*

Filed under: General — m759 @ 7:59 PM

For Saint Irving

* For one interpretation of this phrase, see
  Sicilian Reflections (from this year's Feast
  of St. Irving Berlin on his dies natalis ).

Thursday, November 19, 2009

Eight is a Gate, continued

Filed under: General — m759 @ 4:00 PM

Jeanne-Claude, Collaborator With Christo, Dies at 74

See Feb. 13, 2005, and Feb. 16, 2005:

The Letter Chet:

The image “http://www.log24.com/log/pix05/050213-Chet.gif” cannot be displayed, because it contains errors.

Click the above for source (pdf).


A part of the installation by
Christo and Jeanne-Claude,
“The Gates.” Photo by
Nicole Bengiveno in
The New York Times

Sunday, January 3, 2021

The Salomon Gate

Filed under: General — m759 @ 10:52 PM

See Salomon and “Eight is a Gate.”

Monday, September 4, 2017

Labor Date

Filed under: General — m759 @ 2:00 PM

(A sequel to the previous post, Up to Date

"Dr. Sekler lectured around the world, but one trip proved life-changing.
In 1962, the year he married, Dr. Sekler made his first trip to Nepal.
'It was the way it had been for centuries — a beautiful valley filled with
happy, peaceful people. It seemed like Shangri-La,' he told the Harvard
in 2004."

Bryan Marquard in The Boston Globe  today

See also "Eight is a gate" in this  journal.

Saturday, July 2, 2016


Filed under: General — Tags: — m759 @ 8:24 PM

"…  Seven is Heaven,  Eight is a Gate  …"


Wednesday, June 22, 2016

Fragments Against My Ruins, by Odd Thomas

Filed under: General — m759 @ 5:42 AM
  1. "Inside of a dog, it's too dark to read"
  2. "Alpha Dog"
  3. "B. J. Leggett is professor emeritus at UT Knoxville"
  4. "Seven is Heaven, Eight is a Gate, Nine is a Vine"

Update of about 6:40 AM ET on June 22, 2016 —

"Que cantaba el rey David."  Happy birthday to Kris Kristofferson.

Sunday, March 20, 2016


Filed under: General — Tags: — m759 @ 12:00 AM

"Where indeed might the literary scholar expect to find, 
if not in literature, the measure  of modern thought?"

— "Ruins of the Ogdoad," by Michael Keefer

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

— Mnemonic rhyme; author anonymous

Friday, November 6, 2015

Girard’s Transition

Filed under: General — m759 @ 10:15 AM

"Eight is a gate." — Mnemonic rhyme

Girard reportedly died at 91 on Wednesday, Nov. 4, 2015.

Saturday, September 20, 2014


Filed under: General — m759 @ 8:00 PM

See “Seven is Heaven, Eight is a Gate” in this journal.

For greater detail, see “Seven is Heaven” and “Eight is a Gate” separately.

Friday, April 4, 2014

Eight Gate

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

From a Huffington Post  discussion of aesthetics:

“The image below on the left… is… overly simplistic, and lacks reality:

IMAGE - Two eightfold cubes- axonometric view on left, perspective view on right

It’s all a matter of perspective: the problem here is that opposite sides
of the cube, which are parallel in real life, actually look parallel in the
left image! The image on the right is better….”

A related discussion:  Eight is a Gate.

Thursday, June 13, 2013


Filed under: General,Geometry — Tags: , , — m759 @ 2:13 PM

Eight is a Gate.” — Mnemonic rhyme

Today’s previous post, Window, showed a version
of the Chinese character for “field”—

This suggests a related image

The related image in turn suggests

Unlike linear perspective, axonometry has no vanishing point,
and hence it does not assume a fixed position by the viewer.
This makes axonometry ‘scrollable’. Art historians often speak of
the ‘moving’ or ‘shifting’ perspective in Chinese paintings.

Axonometry was introduced to Europe in the 17th century by
Jesuits returning from China.

Jan Krikke

As was the I Ching.  A related structure:

Friday, November 2, 2012

By Candlelight

Filed under: General — m759 @ 7:00 PM

"Seven is Heaven, Eight is a Gate" — Memory rhyme

For Rebekah Gay

IMAGE- Book cover (horse, girl at gate) of 'Can I Get There by Candlelight?,' illus. by Ted Lewin

Click for image source.

Friday, January 20, 2012


Filed under: General — m759 @ 8:00 PM
Saturday, November 12, 2005

— m759 @ 8:00 PM


A Singer 7-Cycle

“… problems are the poetry of chess.
   They demand from the composer
   the same virtues that characterize
   all worthwhile art:
   originality, invention, 
   harmony, conciseness,
   complexity, and
   splendid insincerity.”

   —Vladimir Nabokov

Saturday, September 10, 2011

Cliff Robertson

Filed under: General — m759 @ 9:29 PM


Eight is a gate.


NY Lottery Saturday, Sept. 10, 2011

The sound of singing grows louder.

Saturday, October 9, 2010

Some Like It in the Pot

Filed under: General — m759 @ 11:59 AM

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

"And the serpent's eyes shine…."

Thursday, August 5, 2010


Filed under: General,Geometry — m759 @ 2:02 PM

"Eight is a gate."
This journal, December 2002   

Tralfamadorian Structure
in Slaughterhouse-Five

includes the following passage:

“…the nonlinear characterization of Billy Pilgrim
 emphasizes that he is not simply an established
 identity who undergoes a series of changes but
 all the different things he is at different times.”

A 2x4 array of squares

This suggests that the above structure be viewed
as illustrating not eight  parts but rather
8! = 40,320 parts.

See also April 2, 2003.

Happy birthday to John Huston and
happy dies natalis  to Richard Burton.


Thursday, November 19, 2009

Walden for Jews

Filed under: General — m759 @ 11:30 AM

“Orthodox Jews are disappearing from Jerusalem. One moment they are praying at the Western Wall, and in the blink of an eye, they seem to evaporate…. In order to build the Third Temple while being respectful of the Islamic structures on the Temple Mount, the Jews have discovered a way to access a fourth spatial dimension. They will build the Third Temple invisibly ‘above’ the Temple Mount and ‘above’ the Mosque in the direction of the fourth dimension.”

— Clifford Pickover, description of his novel Jews in Hyperspace

“If you have built castles in the air, your work need not be lost; that is where they should be. Now put the foundations under them.”

— Henry David Thoreau, conclusion of Walden

Related material: Log24 entries, morning and evening of June 11, 2009,  “Text” (June 22, 2009), and Salomon Bochner‘s remarks on space in “Eight is a Gate” (Feb. 26, 2008).

Wednesday, January 14, 2009

Wednesday January 14, 2009

Filed under: General,Geometry — Tags: — m759 @ 2:45 AM

Eight is a Gate

'The Eight,' by Katherine Neville

Customer reviews of Neville's 'The Eight'

From the most highly
rated negative review:

“I never did figure out
what ‘The Eight’ was.”

Various approaches
to this concept
(click images for details):

The Fritz Leiber 'Spider' symbol in a square

A Singer 7-cycle in the Galois field with eight elements

The Eightfold (2x2x2) Cube

The Jewel in Venn's Lotus (photo by Gerry Gantt)

Tom O'Horgan in his loft. O'Horgan died Sunday, Jan. 11, 2009.

Bach, Canon 14, BWV 1087

Sunday, November 16, 2008

Sunday November 16, 2008

Filed under: General,Geometry — m759 @ 8:00 PM
Art and Lies

Observations suggested by an article on author Lewis Hyde– “What is Art For?“–  in today’s New York Times Magazine:

Margaret Atwood (pdf) on Lewis Hyde’s
Trickster Makes This World: Mischief, Myth, and Art

“Trickster,” says Hyde, “feels no anxiety when he deceives…. He… can tell his lies with creative abandon, charm, playfulness, and by that affirm the pleasures of fabulation.” (71) As Hyde says, “…  almost everything that can be said about psychopaths can also be said about tricksters,” (158), although the reverse is not the case. “Trickster is among other things the gatekeeper who opens the door into the next world; those who mistake him for a psychopath never even know such a door exists.” (159)

What is “the next world”? It might be the Underworld….

The pleasures of fabulation, the charming and playful lie– this line of thought leads Hyde to the last link in his subtitle, the connection of the trickster to art. Hyde reminds us that the wall between the artist and that American favourite son, the con-artist, can be a thin one indeed; that craft and crafty rub shoulders; and that the words artifice, artifact, articulation and art all come from the same ancient root, a word meaning to join, to fit, and to make. (254) If it’s a seamless whole you want, pray to Apollo, who sets the limits within which such a work can exist. Tricksters, however, stand where the door swings open on its hinges and the horizon expands: they operate where things are joined together, and thus can also come apart.

For more about
“where things are
joined together,” see
 Eight is a Gate and
The Eightfold Cube.
Related material:

The Trickster
and the Paranormal

Martin Gardner on
   a disappearing cube —

“What happened to that… cube?”

Apollinax laughed until his eyes teared. “I’ll give you a hint, my dear. Perhaps it slid off into a higher dimension.”

“Are you pulling my leg?”

“I wish I were,” he sighed. “The fourth dimension, as you know, is an extension along a fourth coordinate perpendicular to the three coordinates of three-dimensional space. Now consider a cube. It has four main diagonals, each running from one corner through the cube’s center to the opposite corner. Because of the cube’s symmetry, each diagonal is clearly at right angles to the other three. So why shouldn’t a cube, if it feels like it, slide along a fourth coordinate?”

— “Mr. Apollinax Visits New York,” by Martin Gardner, Scientific American, May 1961, reprinted in The Night is Large

For such a cube, see

Cube with its four internal diagonals


this illustration in

The Religion of Cubism
(and the four entries
preceding it —
 Log24, May 9, 2003).

Beware of Gardner’s
“clearly” and other lies.

Sunday, November 9, 2008

Sunday November 9, 2008

Filed under: General — m759 @ 9:00 AM

“Beauty is a riddle.”

— Dostoevsky

“Seven is Heaven
 Eight is a Gate
 Nine is a Vine”

— Folk rhyme

Saturday, June 21, 2008

Saturday June 21, 2008

Filed under: General — Tags: — m759 @ 8:00 PM
For Mary Gaitskill

(See Eight is a Gate and
Faith, Doubt, Art, and
The New Yorker

A sructure from
today's previous entry:


From Notre-Dame de Paris:

"Un cofre de gran riqueza        
Hallaron dentro un pilar,       
Dentro del, nuevas banderas 
Con figuras de espantar."      

"A coffer of great richness   
     In a pillar's heart they found,
Within it lay new banners,
With figures to astound."  

For some further details, see
the brief Log24 narrative
"Indiana Jones and
the Hidden Coffer
" as well as
Symmetry Framed and
the design of the doors
to Rick's Cafe Americain:

IMAGE- The perception of doors in 'Casablanca'

Everyone comes to Rick's.

Tuesday, April 8, 2008

Tuesday April 8, 2008

Filed under: General,Geometry — m759 @ 8:00 AM
Eight is a Gate

Part I:

December 2002

Part II:

Epiphany 2008

How the eightfold cube works
This figure is related to
the mathematics of
reflection groups

Part III:

“The capacity of music to operate simultaneously along horizontal and vertical axes, to proceed simultaneously in opposite directions (as in inverse canons), may well constitute the nearest that men and women can come to absolute freedom.  Music does ‘keep time’ for itself and for us.”

— George Steiner in Grammars of Creation

Inverse Canon —

From Werner Icking Music Archive:

Bach, Fourteen Canons
on the First Eight Notes
of the Goldberg Ground,
No. 11 —

Bach, 14 Canons on the Goldberg Ground, Canon 11
Click to enlarge.

Play midi of Canon 11.

At a different site
an mp3 of the 14 canons.

Part IV:

That Crown of Thorns,
by Timothy A. Smith

Tuesday, February 26, 2008

Tuesday February 26, 2008

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

Eight is a Gate (continued)

Tom Stoppard, Jumpers:
"Heaven, how can I believe in Heaven?" she sings at the finale. "Just a lying rhyme for seven!"
"To begin at the beginning: Is God?…" [very long pause]

From "Space," by Salomon Bochner

Makom. Our term “space” derives from the Latin, and is thus relatively late. The nearest to it among earlier terms in the West are the Hebrew makom and the Greek topos (τόπος). The literal meaning of these two terms is the same, namely “place,” and even the scope of connotations is virtually the same (Theol. Wörterbuch…, 1966). Either term denotes: area, region, province; the room occupied by a person or an object, or by a community of persons or arrangements of objects. But by first occurrences in extant sources, makom seems to be the earlier term and concept. Apparently, topos is attested for the first time in the early fifth century B.C., in plays of Aeschylus and fragments of Parmenides, and its meaning there is a rather literal one, even in Parmenides. Now, the Hebrew book Job is more or less contemporary with these Greek sources, but in chapter 16:18 occurs in a rather figurative sense:

O earth, cover not thou my blood, and let my cry have no place (makom).

Late antiquity was already debating whether this makom is meant to be a “hiding place” or a “resting place” (Dhorme, p. 217), and there have even been suggestions that it might have the logical meaning of “occasion,” “opportunity.” Long before it appears in Job, makom occurs in the very first chapter of Genesis, in:

And God said, Let the waters under the heaven be gathered together unto one place (makom) and the dry land appear, and it was so (Genesis 1:9).

This biblical account is more or less contemporary with Hesiod's Theogony, but the makom of the biblical account has a cosmological nuance as no corresponding term in Hesiod. Elsewhere in Genesis (for instance, 22:3; 28:11; 28:19), makom usually refers to a place of cultic significance, where God might be worshipped, eventually if not immediately. Similarly, in the Arabic language, which however has been a written one only since the seventh century A.D., the term makām designates the place of a saint or of a holy tomb (Jammer, p. 27). In post-biblical Hebrew and Aramaic, in the first centuries A.D., makom became a theological synonym for God, as expressed in the Talmudic sayings: “He is the place of His world,” and “His world is His place” (Jammer, p. 26). Pagan Hellenism of the same era did not identify God with place, not noticeably so; except that the One (τὸ ἕν) of Plotinus (third century A.D.) was conceived as something very comprehensive (see for instance J. M. Rist, pp. 21-27) and thus may have been intended to subsume God and place, among other concepts. In the much older One of Parmenides (early fifth century B.C.), from which the Plotinian One ultimately descended, the theological aspect was only faintly discernible. But the spatial aspect was clearly visible, even emphasized (Diels, frag. 8, lines 42-49).


Paul Dhorme, Le livre de Job (Paris, 1926).

H. Diels and W. Kranz, Die Fragmente der Vorsokratiker, 6th ed. (Berlin, 1938).

Max Jammer, Concepts of Space (Cambridge, Mass., 1954).

J. M. Rist, Plotinus: The Road to Reality (Cambridge, 1967).

Theologisches Wörterbuch zum Neuen Testament (1966), 8, 187-208, esp. 199ff.


Related material: In the previous entry — "Father Clark seizes at one place (page eight)
upon the fact that…."

Father Clark's reviewer (previous entry) called a remark by Father Clark "far fetched."
This use of "place" by the reviewer is, one might say, "near fetched."

Monday, February 25, 2008

Monday February 25, 2008

Filed under: General,Geometry — Tags: , , , — m759 @ 4:00 PM
A System of SymbolsA book from
Yale University Press
discussed in Log24
four years ago today:

Inside Modernism: Relativity Theory, Cubism, Narrative

Click on image for details.

The book is titled
Inside Modernism:
Relativity Theory,
Cubism, Narrative

For a narrative about relativity
and cubes, see Knight Moves.

Related material:

Geek chic in
this week’s New Yorker

“… it takes a system of symbols
to make numbers precise–
to ‘crystallize’ them….”

— and a mnemonic for three
days in October 2006
following a memorial to
the Amish schoolchildren
slain that month:

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

Wednesday, October 24, 2007

Wednesday October 24, 2007

Filed under: General — Tags: , — m759 @ 9:26 AM
A Story for Dobbs

Internet Movie Database on screenwriter Lem Dobbs:

Son of painter R.B. (Ron) Kitaj.

Took his pseudonym from the character Humphrey Bogart played
in 'The Treasure of the Sierra Madre.'"

Bogart and Robert Blake in The Treasure of the Sierra Madre

Click for details.

NY Lottery Oct. 21, 2007: Mid-day 512, Evening 430

October 21 was the day
that R. B. Kitaj died.
For what Kitaj called
"midrashic glosses"
on the numbers and
the lucky sums, see
4/30, 5/12, and
Eight is a Gate.

Screenwriter Joan Didion:

"We tell ourselves stories in order to live….

We interpret what we see, select the most workable of multiple choices. We live entirely, especially if we are writers, by the imposition of a narrative line upon disparate images, by the 'ideas' with which we have learned to freeze the shifting phantasmagoria which is our actual experience.

Or at least we do for a while. I am talking here about a time when I began to doubt the premises of all the stories I had ever told myself, a common condition but one I found troubling."

David Cohen on R. B. Kitaj:

"He has come to be fascinated… by the kabbalah, finding in it parallels to the world of art and ideas. Every morning, after a long walk, he winds up at a Westwood café surrounded by pretty UCLA students where he studies the writings of Emmanuel Levinas, before working for an hour on his memoirs."

Levinas Adieu:

Levinas, and Derrida, on the Adieu

Click for source.

"There is no teacher
but the enemy.

— Orson Scott Card,  
Ender's Game

Saturday, July 7, 2007

Saturday July 7, 2007

Filed under: General — m759 @ 1:48 AM
Seven is Heaven

John Lahr, review
of a production of Tom Stoppard’s “Jumpers”–

The play is about a philosophy professor, George, and his wife, Dotty, who “exudes a sumptuous sexuality…. She has a pert round head, high cheekbones, and a deep voice, which, like her acting, is full of playfulness and longing. George is lost in thought; Dotty is just lost. ‘Heaven, how can I believe in Heaven?’ she sings at the finale. ‘Just a lying rhyme for seven!’ She is promise and heartbreak in one.”

The image “http://www.log24.com/log/pix07/070707-Obits.jpg” cannot be displayed, because it contains errors.

“With a name like Frigo…”

Related material:

Eight is a Gate

Thursday, June 14, 2007

Thursday June 14, 2007

Filed under: General — Tags: — m759 @ 9:00 PM
A Time
for Remembering

June 9, the birthday of
Aaron Sorkin, a writer
mentioned in recent
Log24 entries, was also
the birthday of writer
Patricia Cornwell.

An illustration
from that date:

The image “http://www.log24.com/theory/images/grid3x3.gif” cannot be displayed, because it contains errors.

Cornwell's first book was
a biography of
Ruth Bell Graham,
A Time for Remembering.

"Seven is heaven,
Eight is a gate,
Nine is a vine."

Monday, October 9, 2006

Monday October 9, 2006

Filed under: General,Geometry — Tags: — m759 @ 9:00 AM
To Apollo

The image “http://www.log24.com/theory/images/grid3x3.gif” cannot be displayed, because it contains errors.

“This is the garden of Apollo,
the field of Reason….”
John Outram, architect

To Apollo (10/09/02)
Art Wars: Apollo and Dionysus
Balanchine’s Birthday
Art Theory for Yom Kippur
A Form
A Form, continued
Deep Game
Gameplayers of Zen
And So To Bed
Translation Plane for Rosh Hashanah
Derrida Dead
The Nine
From Tate to Plato
Art History
A Miniature Rosetta Stone
High Concept
High Concept, Continued
Analogical Train of Thought
Today’s Sermon: Magical Thinking
Seven is Heaven, Eight is a Gate
Nine is a Vine
Apollo and Christ
Hamilton’s Whirligig
On Beauty
Sunday Morning
New Haven
Washington Ballet
Catholic Schools Sermon
The Logic of Apollo
Game Boy
Art Wars Continued: The Krauss Cross
Art Wars Continued: Pandora’s Box
The Pope in Plato’s Cave
Today’s Birthdays
Symbology 101

Monday, July 31, 2006

Monday July 31, 2006

Filed under: General — m759 @ 2:00 AM

For the feast of
St. Ignatius Loyola…

Final Arrangements,


“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

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.

Wednesday, July 12, 2006

Wednesday July 12, 2006

Filed under: General — m759 @ 9:00 AM

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

Monday, July 10, 2006

Monday July 10, 2006

Filed under: General — Tags: — m759 @ 2:48 AM
Knock, Knock, Knockin'

An obituary in this morning's New York Times suggests a flashback. The Times says that Paul Nelson, 69, a music critic once famously ripped off by the young Bobby Zimmerman, was found dead in his Manhattan apartment last Wednesday. Here is a Log24 entry for that date. (The obituary, by Jon Pareles, notes that Nelson "prized hard-boiled detective novels and film noir.")

Wednesday, July 5, 2006  7:35 PM

Dance of the Numbers

A music review:

"… in the mode of
 a film noir murder mystery"

"For Bach, as Sellars explains,
 death is not an exit but an entrance."

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

Wednesday, July 5, 2006

Wednesday July 5, 2006

Filed under: General — m759 @ 7:35 PM

Dance of the Numbers

A music review:

“… in the mode of a film noir murder mystery

“For Bach, as Sellars explains,
 death is not an exit but an entrance.”

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

Sunday, April 2, 2006

Sunday April 2, 2006

Filed under: General — m759 @ 8:00 PM

Looking for a Miracle:
The Beatification of John Paul II



Last year’s April 2 entry

Part I:

Eight is a Gate

Part II:

Zen and Language Games
Directions Out,
Outside the World,
Diamonds Are Forever.

Today’s lottery in the
State of Grace
  (Kelly, of Philadelphia)–

Mid-day: 008 
Evening: 373.


Friday, March 31, 2006

Friday March 31, 2006

Filed under: General — Tags: — m759 @ 9:00 PM
Reason and Rhyme

"Philosophers ponder the idea of identity: what it is to give something a name on Monday and have it respond to that name on Friday…."

— Bernard Holland in
   The New York Times
Monday, May 20, 1996

Related material:
Philadelphia Stories

The image “http://www.log24.com/log/pix05B/051016-Mont.jpg” cannot be displayed, because it contains errors.

and, from Monday,
March 27, 2006–

 A Living Church,

Today's Pennsylvania lottery:

Mid-Day: 888

See today's noon entry
and Eight is a Gate.

Evening: 557

 Dogma in the State of Grace,
Is Nothing Sacred?,
and, from page 557 of
New World Dictionary
College Edition, 1960:


The image “http://www.log24.com/log/pix06/BirdsBeastsAndFlowers.jpg” cannot be displayed, because it contains errors.

Birds, Beasts & Flowers

As performed by
Princess Grace of Monaco

Presented at
St James's Palace, London,

on 22nd November 1978
in the presence of Her Majesty,
Queen Elizabeth
The Queen Mother

Sunday, December 25, 2005

Sunday December 25, 2005

Filed under: General,Geometry — m759 @ 8:00 PM
Eight is a Gate

Compare and contrast:

The Eightfold Cube

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

Click on pictures for details.

"… die Schönheit… [ist] die
richtige Übereinstimmung
der Teile miteinander
  und mit dem Ganzen."

"Beauty is the proper conformity
  of the parts to one another
  and to the whole."
  — Werner Heisenberg,
"Die Bedeutung des Schönen
  in der exakten Naturwissenschaft,"
  address delivered to the
  Bavarian Academy of Fine Arts,
  Munich, 9 Oct. 1970, reprinted in
  Heisenberg's Across the Frontiers,
  translated by Peter Heath,
  Harper & Row, 1974

Friday, December 16, 2005

Friday December 16, 2005

Filed under: General,Geometry — m759 @ 2:00 PM
Jesus vs. the Goddess:
A Brief Chronology

In 1946, Robert Graves published King Jesus, an historical novel based on the theory and Graves’ own historical conjecture that Jesus was, in fact, the rightful heir to the Israelite throne… written while he was researching and developing his ideas for The White Goddess.”

In 1948, C. S. Lewis finished the first draft of The Lion, The Witch, and The Wardrobe, a novel in which one of the main characters is “the White Witch.”

In 1948, Robert Graves published The White Goddess.

In 1949, Robert Graves published Seven Days in New Crete [also titled Watch the North Wind Rise], “a novel about a social distopia in which Goddess worship is (once again?) the dominant religion.”

Lewis died on November 22, 1963, the day John F. Kennedy was killed.

Related material:
Log24, December 10, 2005

Graves died on December 7 (Pearl Harbor Day), 1985.

Related material:
Log24, December 7, 2005, and
Log24, December 11, 2005

Jesus died, some say, on April 7 in the year 30 A.D.

Related material:

Art Wars, April 7, 2003:
Geometry and Conceptual Art,

Eight is a Gate, and

The image “http://www.log24.com/log/pix05B/051216-PlatoDiamond.gif” cannot be displayed, because it contains errors.

Plato’s Diamond

The image “http://www.log24.com/log/pix05B/051216-Motto.jpg” cannot be displayed, because it contains errors.

— Motto of
Plato’s Academy

“Plato is wary of all forms of rapture other than reason’s. He is most deeply leery of, because himself so susceptible to, the literary imagination. He speaks of it as a kind of holy madness or intoxication and goes on to link it to Eros, another derangement that joins us, but very dangerously, with the gods.”
Rebecca Goldstein in
    The New York Times,
    three years ago today
    (December 16, 2002) 
“It’s all in Plato, all in Plato;
 bless me, what do they
teach them at these schools?”
— C. S. Lewis in
the Narnia Chronicles

“How much story do you want?”
— George Balanchine

Saturday, December 10, 2005

Saturday December 10, 2005

Filed under: General — Tags: , — m759 @ 5:24 AM

Roger Shattuck, Scholar, Is Dead at 82

In his honor, some excerpts from previous entries:

Wednesday, January 19, 2005

I just subscribed to The New York Review of Books online for another year,
prompted by my desire to read Roger Shattuck on Rimbaud….

"How did this poetic sensibility come to burn so bright?"

The Shattuck piece is from 1967, the year of The Doors' first album.

(See Death and the Spirit, Part II.)

The image “http://www.log24.com/log/pix05B/051210-Blue.jpg” cannot be displayed, because it contains errors.

The photo of Nicole Kidman
is from Globe Song
(Log24, Jan. 18, 2005).

The Times says Shattuck died
on Thursday (Dec. 8, 2005).

Here, from 4:00 AM on the
morning of Shattuck's death,
is a brief companion-piece
to Eight is a Gate:

Four is a Door:

From Carole A. Holdsworth,
Dulcinea and Pynchon's V:

Tanner may have stated it best:

“V. is whatever lights you to
 the end of the street:
 she is also the dark annihilation
 waiting at the end of the street.”

(Tony Tanner, page 36,
 "V. and V-2," in
 Pynchon: A Collection
 of Critical Essays.

 Ed. Edward Mendelson.
 Englewood Cliffs, N. J.:
 Prentice-Hall, 1978. 16-55).

She's a mystery
She's everything
   a woman should be
Woman in black
   got a hold on me

Foreigner 4

She's in midnight blue,
 still the words ring true;
woman in blue
got a hold on you.

Saturday, November 12, 2005

Saturday November 12, 2005

Filed under: General — m759 @ 8:00 PM
Seven is Heaven,
Eight is a Gate


A Singer 7-Cycle

“… problems are the poetry of chess.
They demand from the composer
 the same virtues that characterize
all worthwhile art:
originality, invention,
harmony, conciseness,
complexity, and
splendid insincerity.”

Vladimir Nabokov

Saturday, September 24, 2005

Saturday September 24, 2005

Filed under: General — m759 @ 11:02 PM

From this week’s New Yorker
and from Eight is a Gate:

The image “http://www.log24.com/log/pix05B/050924-NYer.jpg” cannot be displayed, because it contains errors.

May 20, 2004, 7 AM:

Parable: “A comparison or analogy. The word is simply a transliteration of the Greek word: parabolé (literally: ‘what is thrown beside’ or ‘juxtaposed’)….”

A Synoptic
   Gospels Primer

A thought dated (mistakenly)
May 20, 2004,
11:11 PM:

Life changes fast.

— Joan Didion,
  After Life

Related material:

Number 61,
Chorus from “The Rock”.

Saturday, April 30, 2005

Saturday April 30, 2005

Filed under: General — m759 @ 9:00 AM
Nine is a Vine,

The image “http://www.log24.com/log/pix05/HopeOfHeaven1938-2.jpg” cannot be displayed, because it contains errors.

Larry Gelbart on the film
Up Close and Personal:
“A Brenda Starr is Born.”

Related material:
O’Hara’s Fingerpost,
Eight is a Gate,
Art Wars,
In the Details,
and the words
“White Christmas.”

Monday, February 28, 2005

Monday February 28, 2005

Filed under: General — m759 @ 1:23 AM


On the 77th annual Academy Awards:

“… in the Sarabande of Suite 6 Ma’s phrasing suggests we are in the same spiritual terrain as Beethoven’s late quartets.”

Thomas May


For more on Bach, quartets, and film, see Eight is a Gate and 8/8/04.

Saturday, February 19, 2005

Saturday February 19, 2005

Filed under: General — m759 @ 4:01 PM

From previous Log24.net entries:

Eight is a Gate:

“There is no highway in the sky.”
— Quotation attributed to
Albert Einstein.
(See Gotthard Günther’s website
“Achilles and the Tortoise, Part 2”.) 

“Don’t give up until you
Drink from the silver cup
And ride that highway in the sky.”
—  America, 1974    

In Hoc Signo:

“So put me on a highway….”
The Eagles, 1975  

Stephen Yablo, draft of
A Paradox of Existence,”
Nov. 8, 1998, section heading:

“III. Quine’s way or the highway”

From that section:

“Burgess & Rosen begin their book A Subject with No Object with a relevant fable:

Finally, after years of waiting, it is your turn to put a question to the Oracle of Philosophy…you humbly approach and ask the question that has been consuming you for as long as you can remember: ‘Tell me, O Oracle, what there is. What sorts of things exist?’ To this the Oracle responds: ‘What? You want the whole list? …I will tell you this: everything there is is concrete; nothing there is is abstract….’

Suppose we continue the fable a little. Impressed with what the Oracle has told you, you return to civilization to spread the concrete gospel. Your first stop is at [your school here]….”

The Concrete Gospel
of Donald E. Knuth:

In Hoc Signo
(from yesterday),
continued —

The image “http://www.log24.com/log/pix05/050219-Signo.gif” cannot be displayed, because it contains errors.

This holy icon
appeared at
on August 22, 2003,
at the Stanford campus.

See also
Cognitive Blending
and the Two Cultures

Tuesday, February 15, 2005

Tuesday February 15, 2005

Filed under: General — Tags: — m759 @ 5:28 PM


“Are you now, or have you ever been?”

— Question posed to Philip Johnson,
entry of Feb. 12

“In the case of the Cartesian question, the answer is affirmative, and metaphysics has produced, in the four hundred years since, nothing much better than this. It is not only interesting but supremely practical. What could be more useful than having the means of convincing oneself that one exists whenever the question should arise?”

— Rebecca Goldstein,
Properties of Light

“… a nightshirted boy trying desperately to awake from the iridescent dizziness of dream life. Its ultimate vision was the incandescence of a book or a box grown completely transparent and hollow. This is, I believe, it : not the crude anguish of physical death but the incomparable pangs of the mysterious mental maneuver needed to pass from one state of being to another.”

— Vladimir Nabokov,
Transparent Things


“Le terme que l’on traduit par dédicace est en japonais ekô, littéralement ‘se tourner vers’. Il est composé de deux idéogrammes, e qui signifie ‘tourner le dos, se tourner, revenir en arrière’ et , ‘faire face, s’adresser à’.”


La dédicace universelle:
une causerie d’Eric Rommeluère

e: Tournant le Dos

The image “http://www.log24.com/log/pix05/050215-Light.jpg” cannot be displayed, because it contains errors.

kô: Faisant Face

The image “http://www.log24.com/log/pix05/050215-Goldstein.jpg” cannot be displayed, because it contains errors.

For more on Goldstein, see
The New York Times,
Feb. 14, 2005, and
Eight is a Gate,
Dec. 19, 2002.

Sunday, February 13, 2005

Sunday February 13, 2005

Filed under: General — m759 @ 8:00 PM

Eight is a Gate,

“The eighth letter of the Hebrew alphabet is called ‘Chet’ (rhymes with ‘let’) and has the (light scraping) sound of ‘ch’ as in ‘Bach.'”

The Letter Chet    

The image “http://www.log24.com/log/pix05/050213-Chet.gif” cannot be displayed, because it contains errors.


Sunday February 13, 2005

Filed under: General — Tags: — m759 @ 2:00 PM

Eight is a Gate

“The old men know
when an old man dies.”
— Ogden Nash

“Heaven is a state,
a sort of metaphysical state.”
— John O’Hara, Hope of Heaven, 1938

The image “http://www.log24.com/log/pix05/050213-Three.jpg” cannot be displayed, because it contains errors.

But in a larger sense…

Mais il y a un autre sens dans la dédicace que je trouve plus profond encore. Il s’agit de se dédier soi-même. Le terme que l’on traduit par dédicace est en japonais ekô, littéralement “se tourner vers”. Il est composé de deux idéogrammes, e qui signifie “tourner le dos, se tourner, revenir en arrière” et , “faire face, s’adresser à”.

Dans l’école Tendai, on explique que ce terme possède trois sens:

– tourner le dos (e) aux phénomènes et faire face () au principe;
– tourner le dos (e) au soi et faire face () aux autres;
– tourner le dos (e) aux causes et faire face () aux effets.

On pourrait dire regarder l’essentiel, regarder autrui et regarder le futur. Le terme évoque un retournement. Il s’agit d’aller à rebours de nos fonctionnements habituels, de bouleverser nos attitudes, se détourner de l’égocentrisme pour aller dans le sens de l’ouverture, ne plus se fourvoyer dans l’erreur mais s’ouvrir à la clarté.

Ekô a bien dans les textes bouddhistes un double sens, c’est à la fois dédier quelque chose comme la récitation d’un texte mais également se dédier soi-même. Dans cette deuxième attitude, c’est soi-même, tout entier, corps et esprit, qui est l’objet de la dédicace. Plus qu’on donne, on se donne. On trouve les deux sens chez Dôgen qui n’ignore pas le “transfert des mérites” mais qui sait que ekô se confond avec la voie de l’éveil. Il y a par exemple ce passage dans le Shôbôgenzô Zuimonki:

“Dans le bouddhisme, il y a ceux qui sont foncièrement doués d’amour et de compassion, de connaissance et de sagesse. Pour peu qu’ils étudient, ceux qui en sont dépourvus les réaliseront. Ils n’ont qu’à abandonner le corps et l’esprit, se dédier (ekô) dans le grand océan du bouddhisme, se reposer sur les enseignements du bouddhisme et ne pas rester dans les préjugés personnels.”
[Buppô ni wa, jihi chie mo yori sonawaru hito mo ari. Tatoi naki hito mo gaku sureba uru nari. Tada shinjin o tomoni hôge shite, buppô no daikai ni ekô shite, buppô no kyô ni makasete, shikiyoku o son zuru koto nakare.]
(Shôbôgenzô zuimonki, Edition populaire, cinquième cahier, première causerie)

Le français ne peut véritablement rendre la subtilité du choix des mots de Dôgen qui utilise des figures de style typiquement chinoises comme le chiasme, l’opposition et l’appariement. Il emploie des verbes d’état d’une part : se reposer, rester, de l’autre des verbes d’action, abandonner (hôge su, lit. “laisser choir”), se dédier (ekô su, lit. “se tourner vers”, qui a presque ici le sens de “se jeter”). Réaliser l’amour, la compassion, la connaissance et la sagesse nécessite une transformation, une conversion, un saut dans l’ailleurs. Ce dynamisme permet de quitter le soi égocentré pour entrer dans la dimension de l’éveil, ce que Dôgen appelle ici le bouddhisme.

Ce retournement, ekô, possède une double dimension, à la fois interne et externe. D’un point de vue intérieur, nous nous dédions à l’éveil, d’un point de vue extérieur, nous nous dédions aux autres. Mais l’intérieur et l’extérieur sont comme les deux faces d’une même feuille de papier.

La dédicace universelle:
une causerie d’Eric Rommeluère

Tuesday, July 1, 2003

Tuesday July 1, 2003

Filed under: General — Tags: — m759 @ 5:37 PM

Jew’s on First

This entry is dedicated to those worshippers of Allah who have at one time or another cried
Itbah al-Yahud!” … Kill the Jew!
(See June 29 entries).

Dead at 78

Comedian Buddy Hackett died on Tuesday, July First, 2003, according to the New York Times.  According to Bloomberg.com, he died Sunday or Monday.

Associated Press

Buddy Hackett,
on the set of
“It’s a Mad, Mad,
Mad, Mad
in 1962.

Whatever.  We may imagine he has now walked, leading a parade of many other stand-up saints, into a bar.

Hepburn at Chaillot

for Buddy Hackett

From my May 25 entry,

Matrix of the Death God:

R. M. Abraham’s Diversions and Pastimes, published by Constable and Company, London, in 1933, has the following magic square:

The Matrix of Abraham

A summary of the religious import of the above from Princeton University Press:

“Moslems of the Middle Ages were fascinated by pandiagonal squares with 1 in the center…. The Moslems thought of the central 1 as being symbolic of the unity of Allah.  Indeed, they were so awed by that symbol that they often left blank the central cell on which the 1 should be positioned.”

— Clifford A. Pickover, The Zen of Magic Squares, Circles, and Stars, Princeton U. Press, 2002, pp. 71-72

Other appearances of this religious icon on the Web include:

On Linguistic Creation

Picasso’s Birthday

1991 Yearbook
Rolling Stone


In the Picasso’s Birthday version, 22 of the 25 magic square cells are correlated with pictures on the “Class of ’91” cover of Rolling Stone magazine.  Number 7 is Rod Stewart.  In accordance with the theological rhyme “Seven is heaven, eight is a gate,” our site music for today is “Forever Young,” a tune made famous by Stewart.

Roderick, actually   the name of the hero in “Madwoman of Chaillot”

Tuesday, March 4, 2003

Tuesday March 4, 2003

Filed under: General — Tags: — m759 @ 9:25 PM

Fearful Symmetry

I just Googled this phrase and found the following site, which turns out to be related to my previous entry on the Bead Game and the death of John P. Thompson.

Fearful Symmetry:
The Music Master’s Lecture

by Daniel d’Quincy.

This in turn links to an excerpt from The Glass Bead Game that includes this passage: 

“I suddenly realized that in the language, or at any rate in the spirit of the Glass Bead Game, everything actually was all-meaningful, that every symbol and combination of symbols led not hither and yon, not to single examples, experiments, and proofs, but into the center, the mystery and innermost heart of the world, into primal knowledge. Every transition from major to minor in a sonata, every transformation of a myth or a religious cult, every classical or artistic formulation was, I realized in that flashing moment, if seen with a truly meditative mind, nothing but a direct route into the interior of the cosmic mystery, where in the alternation between inhaling and exhaling, between heaven and earth, between Yin and Yang, holiness is forever being created.”

It is very easy to get dangerously confused about holiness, but here are some relevant quotes:

“You will have to allow me to digress a bit in order to bring ourselves to a sufficiently elevated perspective… I warn you, it will require an attitude of playfulness on your part. Our approach will aim more at sincerity than seriousness. The attitude I’m aiming at is best expressed, I suppose, in the playing of a unique game, known by its German name as Das Glasperlenspiel, and which we may translate as the Glass Bead Game.”

— Daniel d’Quincy, Fearful Symmetry 


— God himself said this, at least according to the previous entry and to my Jan. 28 entry, State of the Communion.

“Seven is heaven.”

— See my web page Eight is a Gate.

“An excellent example of a ‘universal’ in the sense of Charles Williams, Jung, or Plato is Hexagram 11 in China’s 3,000-year-old classic, the I Ching:

Hexagram 11

‘Heaven and earth unite:
 the image of PEACE.’ 
 (Wilhelm/Baynes translation,
 Princeton University Press, 1967)” 

— S. H. Cullinane, Plato, Pegasus, and the Evening Star

Thus we may associate the numbers 7 and 11 with the notions of heaven and peace; for a somewhat darker association of the time 7:11 with Kali as Time the Destroyer, see my last entry and also my previous entries

Fat Man and Dancing Girl (Feb. 18, 2003), and 

Time and Eternity (Feb. 1, 2003).

Friday, February 21, 2003

Friday February 21, 2003

Filed under: General — m759 @ 12:00 AM


All About Lilith

Today’s birthdays:

Sam Peckinpah (Feb. 21, 1925)
The New Yorker Magazine (Feb. 21, 1925)
Alan Rickman, 57
Kelsey Grammer, 48
Mary Chapin Carpenter, 45
Jennifer Love Hewitt, 24
Charlotte Church, 17

This list suggests that in an ideal future life Sam Peckinpah would direct, and The New Yorker review, a prequel to “All About Eve.”

Casting would be as follows:

Mary Chapin Carpenter as Margo Channing
(originally, Bette Davis)
Charlotte Church as Lilith, sister of Eve Harrington
(originally, Anne Baxter)
Jennifer Love Hewitt as Claudia Casswell
(originally, Marilyn Monroe)
Alan Rickman as Bill Sampson
(originally, Gary Merrill)
Kelsey Grammer as Addison DeWitt
(originally, George Sanders).

Since today is also the anniversary, according to Tom’s Book of Days, of Schultes’s identification of teonanacatl in 1939, the following classic painting, “ Caterpillar’s Mushroom,” by Brian Froud, might be adapted for a poster for our heavenly production*, to be titled, in accordance with celestial fairness doctrines,

All About Lilith 

* A footnote in memory of publicist/producer Jack Brodsky (“Romancing the Stone,” etc.), who died on Tuesday, Feb. 18, 2003 — See the website Eight is a Gate for the mystical significance of the number “78” in Judaism. The New Yorker and Sam Peckinpah were born 78 years ago today.

Thursday, January 16, 2003

Thursday January 16, 2003

Filed under: General — m759 @ 5:05 PM

At the Still Point

“At the still point, there the dance is.”

— T. S. Eliot in Four Quartets

Humphrey Carpenter in The Inklings, his book on the Christian writers J. R. R. Tolkien, C. S. Lewis, and Charles Williams, says that

“Eliot by his own admission took the ‘still point of the turning world’ in Burnt Norton from the Fool in Williams’s The Greater Trumps.”

The Inklings, Ballantine Books, 1981, p. 106

Carpenter says Williams maintained that

It is the Christian’s duty to perceive “the declared pattern of the universe” — the “eternal dance” of Williams’s story The Greater Trumps — and to act according to it.

— Paraphrase of Carpenter, pp. 111-112

“The sun is not yet risen, and if the Fool moves there he comes invisibly, or perhaps in widespread union with the light of the moon which is the reflection of the sun.  But if the Tarots hold, as has been dreamed, the message which all things in all places and times have also been dreamed to hold, then perhaps there was meaning in the order as in the paintings; the tale of the cards being completed when the mystery of the sun has opened in the place of the moon, and after that the trumpets cry in the design which is called the Judgement, and the tombs are broken, and then in the last mystery of all the single figure of what is called the World goes joyously dancing in a state beyond moon and sun, and the number of the Trumps is done.  Save only for that which has no number and is called the Fool, because mankind finds it folly till it is known.  It is sovereign or it is nothing, and if it is nothing then man was born dead.”

The Greater Trumps, by Charles Williams, Ch. 14

If we must have Christians telling stories, let them write like Charles Williams.

Note that although Williams says the Fool Tarot card has no number, it is in fact often numbered 0. See

The Fool as Zero.”

See also Sequel — about the work, life, and afterlife of Stan Rice, husband of Anne Rice (author of The Vampire Chronicles) — and the following story from today’s N.Y. Times:

The New York Times, Jan. 16, 2003:

‘Dance of the Vampires,’
a Broadway Failure, Is Closing


In one of the costliest failures in Broadway history, the producers of “Dance of the Vampires,” a $12 million camp musical at the Minskoff Theater, will close the show on Jan. 25, having lost their entire investment.

Its gross for the week ending on Sunday [Jan. 12], $459,784, was its lowest, and that, finally, was the kiss of death for the show.

The death and arrival at heaven’s gate
of The Producers‘ producer, Sidney Glazier,
on Dec. 14, 2002, is described in the web page
Eight is a Gate.

Monday, December 16, 2002

Monday December 16, 2002

Filed under: General,Geometry — m759 @ 10:00 PM

Rebecca Goldstein
at Heaven’s Gate

This entry is in gratitude for Rebecca Goldstein’s
excellent essay
in The New York Times of December 16, 2002.

She talks about the perennial conflict between two theories of truth that Richard Trudeau called the “story theory” and the “diamond theory.” My entry of December 13, 2002, “Rhyme Scheme,” links the word “real” to an article in the Stanford Encyclopedia of Philosophy that contains the following:

“According to a platonist about arithmetic, the truth of the sentence ‘7 is prime’ entails the existence of an abstract object, the number 7. This object is abstract because it has no spatial or temporal location, and is causally inert. A platonic realist about arithmetic will say that the number 7 exists and instantiates the property of being prime independently of anyone’s beliefs, linguistic practices, conceptual schemes, and so on. A certain kind of nominalist rejects the existence claim which the platonic realist makes: there are no abstract objects, so sentences such as ‘7 is prime’ are false…”

This discussion of “sevenness,” along with the discussion of “eightness” in my December 14, 2002, note on Bach, suggest that I supply a transcription of a note in my paper journal from 2001 that deals with these matters.

From a paper journal note of October 5, 2001:

The 2001 Silver Cup Award
for Realism in Mathematics
goes to…
Glynis Johns, star of
The Sword and the Rose,
Shake Hands with the Devil, and
No Highway in the Sky.

Glynis Johns is 78 today.

“Seven is heaven,
Eight is a gate.”
— from
Dealing with Memory Changes
as You Grow Older
by Kathleen Gose and Gloria Levi

“There is no highway in the sky.”
— Quotation attributed to Albert Einstein.
Gotthard Günther’s website
“Achilles and the Tortoise, Part 2”.)

“Don’t give up until you
Drink from the silver cup
And ride that highway in the sky.”
America, 1974

See also page 78 of
Realism in Mathematics
(on Gödel’s Platonism)
by Penelope Maddy,
Clarendon Press, Oxford, 1990
(reprinted, 2000).

Added 12/17/02: See also
the portrait of Rebecca Goldstein in
Hadassah Magazine
Number 10
(June/July 1997).

For more on the Jewish propensity to
assign mystical significance to numbers, see
Rabbi Zwerin’s Kol Nidre Sermon.

For the significance of “seven” in Judaism, see
Zayin: The Woman of Valor.
For the significance of “eight” in Judaism, see
Chet: The Life Dynamic.

For the cabalistic significance of
“Seven is heaven, Eight is a gate,”
note that Zayin, Seven, signifies
“seven chambers of Paradise”
and that Chet, Eight, signifies
the “gateway to infinity.”

For the significance of the date 12.17, see
Tet: The Concealed Good.

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