Log24

Thursday, March 8, 2018

L’Engle Time Fold

Filed under: General — m759 @ 10:04 PM

Search this journal for the three words of the title.

Thanking the Academy…

Filed under: General,Geometry — m759 @ 9:11 PM

Continues.

Sunday, September 3, 2017

Dead Poet

Filed under: General — Tags: , — m759 @ 6:48 PM

The time is from
a screenshot 
of my RSS feed.

"All in good time."

(See this morning's
  Mosaic Logic.)

Obit

Filed under: General — Tags: — m759 @ 11:35 AM

See also Steely Dan in this  journal.

Monday, November 3, 2014

Wisconsin Death Trip*

Filed under: General — Tags: — m759 @ 8:59 PM

Courtesy of Mira Sorvino.

Enter Madison :

From "Intruders," BBC America, Season 1, Episode 2, at 1:07 of 43:31.

"You sure know how to show a girl a good time."

* The title is a reference to a Wisconsin-related Halloween post.

Friday, October 31, 2014

For the Late Hans Schneider

Filed under: General — Tags: — m759 @ 3:30 AM

See a University of Wisconsin obituary for Schneider,
a leading expert on linear algebra who reportedly died
at 87 on Tuesday, October 28, 2014.

Some background on linear algebra and "magic" squares:
tonight's 3 AM (ET) post and a search in this
journal for Knight, Death, and the Devil.

Click image to enlarge.

Friday, November 30, 2012

Point

Filed under: General — Tags: — m759 @ 12:31 PM

"….mirando il punto  
a cui tutti li tempi son presenti"

— Dante, Paradiso , XVII, 17-18

 For instance

IMAGE- Three films from Christmas 1963 (IMDb): Captain Newman, MD; The Prize; Love with the Proper Stranger

Click image for higher quality.

Monday, July 11, 2011

The Witch of And/Or

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

AND: Logical conjunction, symbolized as… 

OR:    Logical disjunction, symbolized as…  

AND/OR: Logical confusion, symbolized as…  IMAGE- AND and OR symbols combined as Lacanian AND/OR lozenge
according to a woman Lacanian analyst in this journal.

See also another female disciple of Lacan
writing as co-author with a philosophy professor
in Saturday's online New York Times 's "The Stone"—

"Let Be: An Answer to Hamlet’s Question."

Perhaps they thought the question was…

 

http://www.log24.com/log/pix11B/110711-ANDOR.jpg

http://www.log24.com/log/pix11B/110711-Wikipedia_Portrait_of_Simon_Critchley.jpg

Wikipedia portrait of New School
philosopher Simon Critchley

"To be and/or not to be?"

For a more philosophically respectable approach to
the same shape, see Sunday morning's Wittgenstein's Diamond.

"We're gonna need more holy water." —Hollywood saying

Dark Lady

Filed under: General — Tags: — m759 @ 5:01 AM

http://www.log24.com/log/pix11B/110711-5AM-NYT-Inside.jpg

From an obituary of choreographer Roland Petit, who died on Sunday, July 10, 2011—

"Ballerina roles had for more than a century been largely made on pale romantically suffering virgins or royal princesses; Petit’s women were liberated and exciting, modern and tangibly real— and yet archaic femmes fatales . Probably his most popular ballet worldwide is Le jeune homme et la mort , in which a young bloke lazing around in his room is visited by an enigmatic, seductive female— at the end of which brief encounter he hangs himself.

The young man’s role was seized upon by the great ballet stars of the next decades, Rudolf Nureyev and Mikhail Baryshnikov notable among them. As with Carmen, the role of La Mort, the death goddess, has been sought out by a pantheon of great ballerinas, in Paris, Russia and the US as well as in Europe." —Ismene Brown at theartsdesk.com

From the philosophy column "The Stone" in Saturday's online New York Times

July 9, 2011, 4:45 PM: "Let Be: An Answer to Hamlet’s Question"—

"Jamieson Webster is a psychoanalyst in private practice
in New York. She is the author of
'The Life and Death of Psychoanalysis'
forthcoming from Karnac Books.
"

Related ART WARS material:

  1. An illustrated essay by Webster posted on March 7, 2009 at The Symptom 10 weblog
  2. An illustrated essay by Cullinane posted on March 7,  2009 at the Log24 weblog
  3. Time and Eternity
  4. Lovely, Dark and Deep

Monday, March 7, 2011

Punto

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

"Time it goes so fast
When you're having fun"

— "Another Manic Monday"

"….mirando il punto 
a cui tutti li tempi son presenti"

– Dante, Paradiso , XVII, 17-18

See mirando  in this journal.
       See also Time Fold.

Monday, December 20, 2010

Contenders

Filed under: General — Tags: , — m759 @ 7:27 PM

http://www.log24.com/log/pix10B/101220-CroweHook2.jpg
Happy birthday to noir queen Audrey Totter. She starred in "The Set-Up," a 1949 fight film.

http://www.log24.com/log/pix10B/101220-Set-Up72minSm.jpg

   "You sure know how to show a girl a good time."
    — Renée Zellweger in "New in Town" (2009)

Sunday, July 11, 2010

Philosophers’ Keystone

Filed under: General — Tags: , — m759 @ 2:02 AM

(Background— Yesterday's Quarter to Three,
A Manifold Showing, Class of 64, and Child's Play.)

Image-- Notes on Lowry's arrival in Mexico on the ship 'Pennsylvania'

Image-- PA Lottery Saturday, July 10, 2010-- Midday 017, Evening 673

Hermeneutics

Fans of Gregory Chaitin and Harry Potter
may consult Writings for Yom Kippur
for the meaning of yesterday's evening 673.

(See also Lowry and Cabbala.)

Fans of Elizabeth Taylor, Ava Gardner,
and the Dark Lady may consult Prime Suspect
for the meaning of yesterday's midday 17.

For some more serious background, see Dante—

"….mirando il punto 
a cui tutti li tempi son presenti
"

– Dante, Paradiso, XVII, 17-18

The symbol    is used throughout the entire book
in place of such phrases as ‘Q.E.D.’  or
‘This completes the proof of the theorem’
to signal the end of a proof.”

Measure Theory, by Paul R. Halmos, Van Nostrand, 1950      

           
Halmos died on the date of Yom Kippur —  
October 2, 2006.            

Saturday, July 10, 2010

Class of 64

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

Samuel Beckett on Dante and Joyce:

"Another point of comparison is the preoccupation
  with the significance of numbers."

"If I'd been out 'til quarter to three
Would you lock the door,
Will you still need me, will you still feed me,
When I'm sixty-four?"

http://www.log24.com/log/pix10A/100710--HustonBoard.GIF

Happy birthday to Sue Lyon (Night of the Iguana, 1964)

Monday, December 22, 2008

Monday December 22, 2008

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

The Folding

Hamlet, Act 1, Scene 5

Ghost:

“I could a tale unfold whose lightest word
Would harrow up thy soul, freeze thy young blood,
Make thy two eyes, like stars, start from their spheres,
Thy knotted and combined locks to part
And each particular hair to stand on end,
Like quills upon the fretful porpentine:
But this eternal blazon must not be
To ears of flesh and blood. List, list, O, list!”

This recalls the title of a piece in this week’s New Yorker:”The Book of Lists:
Susan Sontag’s early journals
.” (See Log24 on Thursday, Dec. 18.)

In the rather grim holiday spirit of that piece, here are some journal notes for Sontag, whom we may imagine as the ghost of Hanukkah past.

There are at least two ways of folding a list (or tale) to fit a rectangular frame.The normal way, used in typesetting English prose and poetry, starts at the top, runs from left to right, jumps down a line, then again runs left to right, and so on until the passage is done or the bottom right corner of the frame is reached.

The boustrophedonic way again goes from top to bottom, with the first line running from left to right, the next from right to left, the next from left to right, and so on, with the lines’ directions alternating.

The word “boustrophedon” is from the Greek words describing the turning, at the end of each row, of an ox plowing (or “harrowing”) a field.

The Tale of
the Eternal Blazon

by Washington Irving

Blazon meant originally a shield, and then the heraldic bearings on a shield.
Later it was applied to the art of describing or depicting heraldic bearings
in the proper manner; and finally the term came to signify ostentatious display
and also description or record by words or other means. In Hamlet, Act I. Sc. 5,
the Ghost, while talking with Prince Hamlet, says:

‘But this eternal blazon
must not be
To ears of flesh and blood.’

Eternal blazon signifies revelation or description of things pertaining to eternity.”

Irving’s Sketch Book, p. 461

By Washington Irving and Mary Elizabeth Litchfield, Ginn & Company, 1901

Related material:

Folding (and harrowing up)
some eternal blazons —

The 16 Puzzle: transformations of a 4x4 square
These are the foldings
described above.

They are two of the 322,560
natural ways to fit
the list (or tale)
“1, 2, 3, … 15, 16”
into a 4×4 frame.

For further details, see
The Diamond 16 Puzzle.

Moral of the tale:

Cynthia Zarin in The New Yorker, issue dated April 12, 2004–

Time, for L’Engle, is accordion-pleated. She elaborated, ‘When you bring a sheet off the line, you can’t handle it until it’s folded, and in a sense, I think, the universe can’t exist until it’s folded– or it’s a story without a book.'”

Monday, December 11, 2006

Monday December 11, 2006

Filed under: General,Geometry — m759 @ 7:20 AM
Geometry and Death

J. G. Ballard on “the architecture of death“:

“… a huge system of German fortifications that included the Siegfried line, submarine pens and huge flak towers that threatened the surrounding land like lines of Teutonic knights. Almost all had survived the war and seemed to be waiting for the next one, left behind by a race of warrior scientists obsessed with geometry and death.”

The Guardian, March 20, 2006

Edward Hirsch on Lorca:

“For him, writing is a struggle both with geometry and death.”

— “The Duende,” American Poetry Review, July/August 1999

“Rosenblum writes with
absolute intellectual honesty,
and the effect is sheer liberation….
The disposition of the material is
a model of logic and clarity.”

Harper’s Magazine review
quoted on back cover of
Cubism and Twentieth-Century Art,
by Robert Rosenblum
(Abrams paperback, 2001)

SINGER, ISAAC:
“Are Children the Ultimate Literary Critics?”
 — Top of the News 29 (Nov. 1972): 32-36.
“Sets forth his own aims in writing for children
 and laments ‘slice of life’ and chaos in
children’s literature. Maintains that children
like good plots, logic, and clarity,
and that they have a concern for
‘so-called eternal questions.'”

An Annotated Listing of Criticism
by Linnea Hendrickson

“She returned the smile, then looked
across the room to her youngest brother,
Charles Wallace, and to their father,
who were deep in concentration, bent
over the model they were building
of a tesseract: the square squared,
and squared again: a construction
of the dimension of time.”

A Swiftly Tilting Planet,
by Madeleine L’Engle

The image “http://www.log24.com/log/pix06B/061211-Swiftly2.gif” cannot be displayed, because it contains errors.

For “the dimension of time,”
see A Fold in Time,
Time Fold, and
Diamond Theory in 1937

A Swiftly Tilting Planet is a fantasy for children set partly in Vespugia, a fictional country bordered by Chile and Argentina.

For a more adult audience —

In memory of General Augusto Pinochet, who died yesterday in Santiago, Chile, a quotation from Federico Garcia Lorca‘s lecture on “the Duende” (Buenos Aires, Argentina, 1933):

“… Philip of Austria… longing to discover the Muse and the Angel in theology, found himself imprisoned by the Duende of cold ardors in that masterwork of the Escorial, where geometry abuts with a dream and the Duende wears the mask of the Muse for the eternal chastisement of the great king.”


Perhaps. Or perhaps Philip, “the lonely
hermit of the Escorial,” is less lonely now.

Thursday, July 27, 2006

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

 

Saturday, May 13, 2006

Saturday May 13, 2006

Filed under: General — m759 @ 4:00 PM

ART WARS continued…

A Fold in Time

From May 13, Braque’s birthday, 2003:


Braque


Above: Braque and tesseract

“The senses deform, the mind forms.  Work to perfect the mind.  There is no certitude but in what the mind conceives.”

— Georges Braque, Reflections on Painting, 1917

Those who wish to follow Braque’s advice may try the following exercise from a book first published in 1937:

The image “http://www.log24.com/theory/images/Carmichael440ex.gif” cannot be displayed, because it contains errors.

Hint: See the above picture of
Braque and the construction of
a tesseract.

Related material:

Storyline and Time Fold
(both of Oct. 10, 2003),
and the following–

Time, for L’Engle, is accordion-pleated. She elaborated, ‘When you bring a sheet off the line, you can’t handle it until it’s folded, and in a sense, I think, the universe can’t exist until it’s folded– or it’s a story without a book.'”

Cynthia Zarin on Madeleine L’Engle,
“The Storyteller,” in The New Yorker,
issue dated April 12, 2004

Monday, October 31, 2005

Monday October 31, 2005

Filed under: General — Tags: , — m759 @ 2:00 AM
Balance

The image “http://log24.com/log/pix03/030109-gridsmall.gif” cannot be displayed, because it contains errors.

"An asymmetrical balance is sought since it possesses more movement. This is achieved by the imaginary plotting of the character upon a nine-fold square, invented by some ingenious writer of the Tang dynasty. If the square were divided in half or in four, the result would be symmetrical, but the nine-fold square permits balanced asymmetry."

— Chiang Yee, Chinese Calligraphy,
   
quoted in Aspen no. 10, item 8

"'Burnt Norton' opens as a meditation on time. Many comparable and contrasting views are introduced. The lines are drenched with reminiscences of Heraclitus' fragments on flux and movement….  the chief contrast around which Eliot constructs this poem is that between the view of time as a mere continuum, and the difficult paradoxical Christian view of how man lives both 'in and out of time,' how he is immersed in the flux and yet can penetrate to the eternal by apprehending timeless existence within time and above it. But even for the Christian the moments of release from the pressures of the flux are rare, though they alone redeem the sad wastage of otherwise unillumined existence. Eliot recalls one such moment of peculiar poignance, a childhood moment in the rose-garden– a symbol he has previously used, in many variants, for the birth of desire. Its implications are intricate and even ambiguous, since they raise the whole problem of how to discriminate between supernatural vision and mere illusion. Other variations here on the theme of how time is conquered are more directly apprehensible. In dwelling on the extension of time into movement, Eliot takes up an image he had used in 'Triumphal March': 'at the still point of the turning world.' This notion of 'a mathematically pure point' (as Philip Wheelwright has called it) seems to be Eliot's poetic equivalent in our cosmology for Dante's 'unmoved Mover,' another way of symbolising a timeless release from the 'outer compulsions' of the world. Still another variation is the passage on the Chinese jar in the final section. Here Eliot, in a conception comparable to Wallace Stevens' 'Anecdote of the Jar,' has suggested how art conquers time:

       Only by the form, the pattern,
Can words or music reach
The stillness, as a Chinese jar still
Moves perpetually in its stillness."

— F. O. Matthiessen,
   The Achievement of T.S. Eliot,
   Oxford University Press, 1958,
   as quoted in On "Burnt Norton"

Tuesday, September 28, 2004

Tuesday September 28, 2004

Filed under: General — Tags: , — m759 @ 3:33 PM

3:33:33 PM

Romantic Interaction, continued…

The Rhyme of Time

From American Dante Bibliography for 1983:

Freccero, John. "Paradiso X: The Dance of the Stars" (1968). Reprinted in Dante in America … (q.v.), pp. 345-371. [1983]

Freccero, John. "The Significance of terza rima." In Dante, Petrarch, Boccaccio: Studies in the Italian Trecento … (q.v.), pp. 3-17. [1983]

Interprets the meaning of terza rima in terms of a temporal pattern of past, present, and future, with which the formal structure and the thematics of the whole poem coordinate homologically: "both the verse pattern and the theme proceed by a forward motion which is at the same time recapitulary." Following the same pattern in the three conceptual orders of the formal, thematical, and logical, the autobiographical narrative too is seen "as forward motion that moves towards its own beginning, or as a form of advance and recovery, leading toward a final recapitulation." And the same pattern is found especially to obtain theologically and biblically (i.e., historically). By way of recapitulation, the author concludes with a passage from Augustine's Confessions on the nature of time, which "conforms exactly to the movement of terza rima." Comes with six diagrams illustrating the various patterns elaborated in the text.

From Rachel Jacoff's review of Pinsky's translation of Dante's Inferno:

"John Freccero's Introduction to the translation distills a compelling reading of the Inferno into a few powerful and immediately intelligible pages that make it clear why Freccero is not only a great Dante scholar, but a legendary teacher of the poem as well."

From The Undivine Comedy, Ch. 2, by Teodolinda Barolini (Princeton University Press, 1992):

"… we exist in time which, according to Aristotle, "is a kind of middle-point, uniting in itself both a beginning and an end, a beginning of future time and an end of past time."* It is further to say that we exist in history, a middleness that, according to Kermode, men try to mitigate by making "fictive concords with origins and ends, such as give meaning to lives and to poems." Time and history are the media Dante invokes to begin a text whose narrative journey will strive to imitate– not escape– the journey it undertakes to represent, "il cammin di nostra vita."

* Aristotle is actually referring to the moment, which he considers indistinguishable from time: "Now since time cannot exist and is unthinkable apart from the moment, and the moment is a kind of middle-point, uniting as it does in itself both a beginning and an end, a beginning of future time and an end of past time, it follows that there must always be time: for the extremity of the last period of time that we take must be found in some moment, since time contains no point of contact for us except in the moment. Therefore, since the moment is both a beginning and an end there must always be time on both sides of it" (Physics 8.1.251b18-26; in the translation of R. P. Hardie and R. K. Gaye, in The Basic Works of Aristotle, ed. Richard McKeon [New York: Random House, 1941]).  

From Four Quartets:

And the pool was filled with water out of sunlight,
And the lotos rose, quietly, quietly,
The surface glittered out of heart of light,
And they were behind us, reflected in the pool.
Then a cloud passed, and the pool was empty.
Go, said the bird, for the leaves were full of children,
Hidden excitedly, containing laughter.
Go, go, go, said the bird: human kind
Cannot bear very much reality.
Time past and time future
What might have been and what has been
Point to one end, which is always present.

Sunday, November 2, 2003

Sunday November 2, 2003

Filed under: General,Geometry — Tags: — m759 @ 11:11 AM

All Souls' Day
at the Still Point

From remarks on Denis Donoghue's Speaking of Beauty in the New York Review of Books, issue dated Nov. 20, 2003, page 48:

"The Russian theorist Bakhtin lends his august authority to what Donoghue's lively conversation has been saying, or implying, all along.  'Beauty does not know itself; it cannot found and validate itself — it simply is.' "

From The Bakhtin Circle:

"Goethe's imagination was fundamentally chronotopic, he visualised time in space:

Time and space merge … into an inseparable unity … a definite and absolutely concrete locality serves at the starting point for the creative imagination… this is a piece of human history, historical time condensed into space….

Dostoevskii… sought to present the voices of his era in a 'pure simultaneity' unrivalled since Dante. In contradistinction to that of Goethe this chronotope was one of visualising relations in terms of space not time and this leads to a philosophical bent that is distinctly messianic:

Only such things as can conceivably be linked at a single point in time are essential and are incorporated into Dostoevskii's world; such things can be carried over into eternity, for in eternity, according to Dostoevskii, all is simultaneous, everything coexists…. "

Bakhtin's notion of a "chronotope" was rather poorly defined.  For a geometric structure that might well be called by this name, see Poetry's Bones and Time Fold.  For a similar, but somewhat simpler, structure, see Balanchine's Birthday.

From Four Quartets:

"At the still point, there the dance is."

From an essay by William H. Gass on Malcolm Lowry's classic novel Under the Volcano:

"There is no o'clock in a cantina."
 

Friday, October 10, 2003

Friday October 10, 2003

Filed under: General — m759 @ 4:44 PM

Storyline

To hear a story, or to read it straight through from start to finish, is to travel along a one-dimensional line.  A well-structured story has, however, more than one dimension.

Juxtaposing scenes shows that details that seem to be far apart in the telling (or the living) of a story may in fact be closely related.

Here is an example from the film “Contact,” in which a young girl’s drawing and a vision of paradise are no longer separated by the time it takes to tell (or live) the story:

(See my entry of Michaelmas 2002.)

For details of how time is “folded
by artists and poets, see the following:

A Wrinkle in Time, by Madeleine L’Engle,

and Time Fold, by S. H. Cullinane.

Monday, March 10, 2003

Monday March 10, 2003

Filed under: General,Geometry — Tags: , — m759 @ 5:45 AM

ART WARS:

Art at the Vanishing Point

Two readings from The New York Times Book Review of Sunday,

March 9,

2003 are relevant to our recurring "art wars" theme.  The essay on Dante by Judith Shulevitz on page 31 recalls his "point at which all times are present."  (See my March 7 entry.)  On page 12 there is a review of a novel about the alleged "high culture" of the New York art world.  The novel is centered on Leo Hertzberg, a fictional Columbia University art historian.  From Janet Burroway's review of What I Loved, by Siri Hustvedt:

"…the 'zeros' who inhabit the book… dramatize its speculations about the self…. the spectator who is 'the true vanishing point, the pinprick in the canvas.'''

Here is a canvas by Richard McGuire for April Fools' Day 1995, illustrating such a spectator.

For more on the "vanishing point," or "point at infinity," see

"Midsummer Eve's Dream."

Connoisseurs of ArtSpeak may appreciate Burroway's summary of Hustvedt's prose: "…her real canvas is philosophical, and here she explores the nature of identity in a structure of crystalline complexity."

For another "structure of crystalline
complexity," see my March 6 entry,

"Geometry for Jews."

For a more honest account of the
New York art scene, see Tom Wolfe's
 
The Painted Word.
 

Friday, March 7, 2003

Friday March 7, 2003

Filed under: General — Tags: , — m759 @ 4:00 AM

Lovely, Dark and Deep

On this date in 1923, "Stopping by Woods on a Snowy Evening," by Robert Frost, was published.  On this date in 1999, director Stanley Kubrick died.  On this date in 1872, Piet Mondrian was born.

"….mirando il punto
a cui tutti li tempi son presenti"

— Dante, Paradiso, XVII, 17-18 

Chez Mondrian
Kertész, Paris, 1926 

6:23 PM Friday, March 7:

From Measure Theory, by Paul R. Halmos, Van Nostrand, 1950:

"The symbol is used throughout the entire book in place of such phrases as 'Q.E.D.' or 'This completes the proof of the theorem' to signal the end of a proof."
 

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