Log24

Thursday, June 25, 2009

Thursday June 25, 2009

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

“… T. S. Eliot tried to recompose,
   in Four Quartets, the fragments
   he had grieved over
    in The Waste Land.”

— “Beauty and Desecration,”
   Roger Scruton
 (link at aldaily.com today)

The formula reproduces exactly the essential features of the symbolic process of transformation. It shows the rotation of the mandala, the antithetical play of complementary (or compensatory) processes, then the apocatastasis, i.e., the restoration of an original state of wholeness….”

— Carl G. Jung in Aion

Related material:
this journal
one year ago today.

Wednesday, June 25, 2008

Wednesday June 25, 2008

Filed under: General,Geometry — Tags: , , , — m759 @ 7:20 pm
The Cycle of
the Elements

John Baez, Week 266
(June 20, 2008):

"The Renaissance thinkers liked to
organize the four elements using
a chain of analogies running
from light to heavy:

fire : air :: air : water :: water : earth

They also organized them
in a diamond, like this:"

Diamond of the four ancient elements, figure by John Baez

This figure of Baez
is related to a saying
attributed to Heraclitus:

Diamond  showing transformation of the four ancient elements

For related thoughts by Jung,
see Aion, which contains the
following diagram:

Jung's four-diamond figure showing transformations of the self as Imago Dei

"The formula reproduces exactly the essential features of the symbolic process of transformation. It shows the rotation of the mandala, the antithetical play of complementary (or compensatory) processes, then the apocatastasis, i.e., the restoration of an original state of wholeness, which the alchemists expressed through the symbol of the uroboros, and finally the formula repeats the ancient alchemical tetrameria, which is implicit in the fourfold structure of unity."

— Carl Gustav Jung

That the words Maximus of Tyre (second century A.D.) attributed to Heraclitus imply a cycle of the elements (analogous to the rotation in Jung's diagram) is not a new concept. For further details, see "The Rotation of the Elements," a 1995 webpage by one  "John Opsopaus."

Related material:

Log24 entries of June 9, 2008, and

"Quintessence: A Glass Bead Game,"
by Charles Cameron.

Wednesday June 25, 2008

Filed under: General — m759 @ 10:31 am
Desconvencida’s weblog today:

'The Lost Weekend,' with Spanish subtitles

Art, being bartender, is never drunk.”

— Peter Viereck

Wednesday June 25, 2008

Filed under: General — m759 @ 8:06 am
Prize Dance

“I would not know what the spirit
of a philosopher might wish more
 to be than a good dancer.
For the dance is his ideal,
also his art, and finally also his
only piety, his ‘service of God.'”

Nietzsche

Charles Taylor, winner
of this year’s Kyoto Prize
in arts and philosophy:

“… the object sets up
 a kind of frame or space or field
   within which there can be epiphany.”


Kylie Minogue does the Locomotion

“My little baby sister
can do it with ease.
It’s easier to learn
  than those ABC’s.”

Kylie Minogue 

Wednesday June 25, 2008

Filed under: General — m759 @ 2:02 am
Born 100 years ago today:

Willard Van Orman Quine, picture from cover of his autobiography

From A Logical Point of View,  Harvard U. Press, 1980, p. 72
From A Logical Point of View,  Harvard U. Press, 1980, p. 73
Other approaches to the
eight-ray star figure

Figure by Quine for an argument against univesals in 'From a Logical Point of View'

have been sketched in
various Log24 entries.

See, for instance, the
June 21 entries on
the Kyoto Prize for
arts and philosophy.
Quine won this prize
 in 1996.

Quine’s figure, cited in an
argument against universals,
is also a classic symbol for
the morning or evening star.

This year’s winner http://www.log24.com/images/asterisk8.gif
of the Kyoto Prize has
a more poetic approach
to philosophy:

“… the object sets up
 a kind of frame or space or field
   within which there can be epiphany.”

For one such frame or space,
a Mexican cantina, see
Shining Forth.

See also Damnation Morning and
The Devil and Wallace Stevens.

http://www.log24.com/images/asterisk8.gif Charles Taylor.  See
“Epiphanies of Modernism,”
Chapter 24 of Sources of the Self
  (Cambridge U. Press, 1989, p. 477)

Monday, June 25, 2007

Monday June 25, 2007

Filed under: General,Geometry — Tags: , — m759 @ 3:00 pm
Object Lesson
 

"… the best definition
 I have for Satan
is that it is a real
  spirit of unreality."

M. Scott Peck,
People of the Lie
 

"Far in the woods they sang
     their unreal songs,
Secure.  It was difficult
     to sing in face
Of the object.  The singers
     had to avert themselves
Or else avert the object."

— Wallace Stevens,
   "Credences of Summer"


Today is June 25,
anniversary of the
birth in 1908 of
Willard Van Orman Quine.

Quine died on
Christmas Day, 2000.
Today, Quine's birthday, is,
as has been noted by
Quine's son, the point of the
calendar opposite Christmas–
i.e., "AntiChristmas."
If the Anti-Christ is,
as M. Scott Peck claims,
a spirit of unreality, it seems
fitting today to invoke
Quine, a student of reality,
  and to borrow the title of
 Quine's Word and Object

Word:

An excerpt from
"Credences of Summer"
by Wallace Stevens:

"Three times the concentred
     self takes hold, three times
The thrice concentred self,
     having possessed

The object, grips it
     in savage scrutiny,
Once to make captive,
     once to subjugate
Or yield to subjugation,
     once to proclaim
The meaning of the capture,
     this hard prize,
Fully made, fully apparent,
     fully found."

— "Credences of Summer," VII,
    by Wallace Stevens, from
    Transport to Summer (1947)

Object:

From Friedrich Froebel,
who invented kindergarten:

Froebel's Third Gift

From Christmas 2005:

The Eightfold Cube

Click on the images
for further details.

For a larger and
more sophisticaled
relative of this object,
see yesterday's entry
At Midsummer Noon.

The object is real,
not as a particular
physical object, but
in the way that a
mathematical object
is real — as a
pure Platonic form.

"It's all in Plato…."
— C. S. Lewis

Sunday, June 25, 2006

Sunday June 25, 2006

Filed under: General — m759 @ 7:00 pm

Language Games:

Chess and Bingo

Chess: See Log24, Midsummer Day, 2003. Happy mate change, Nicole.

Bingo: See a journal entry from seven years ago, On Linguistic Creation. Happy birthday, Willard Van Orman Quine.

Sunday June 25, 2006

Filed under: General — m759 @ 11:00 am
Today’s Sermon:

Carly Simon is 61.

Sunday June 25, 2006

Filed under: General — m759 @ 7:59 am
The image “http://www.log24.com/log/pix06A/060625-History.gif” cannot be displayed, because it contains errors.

Related material:
June 20, 2006

Saturday, June 25, 2005

Saturday June 25, 2005

Filed under: General — Tags: — m759 @ 12:00 am
Merry AntiChristmas!

Religious Symbolism
at Midnight:

The image “http://www.log24.com/log/pix05A/050625-Star.jpg” cannot be displayed, because it contains errors.

Related material:

Star Wars 6/13/05,
Dark City 6/14/05,
and De Arco, as well
as the following from
July 26, 2003:

Bright Star and Dark Lady

"Mexico is a solar country — but it is also a black country, a dark country. This duality of Mexico has preoccupied me since I was a child."

Octavio Paz,
quoted by Homero Aridjis

Bright Star

Amen.

 

Dark Lady

Friday, June 25, 2004

Friday June 25, 2004

Filed under: General — m759 @ 2:00 pm

Ado

Picture at ICA Big Nothing exhibit

Click on above picture
for some background.

Click on above picture
for some background.

Related material:

A Form (May 22, 2004),
A Form, continued (June 5, 2004),
Balanchine’s Birthday (Jan. 9, 2003),
Pictures of Nothing (Aug. 23, 2003)

Wednesday, June 25, 2003

Wednesday June 25, 2003

Filed under: General — m759 @ 2:45 am

In memory of Staige D. Blackford

Introibo ad Altare Dei

“…they [the clergy] believe that any portion of power confided to me, will be exerted in opposition to their schemes. And they believe rightly; for I have sworn upon the altar of God, eternal hostility against every form of tyranny over the mind of man.”

Thomas Jefferson

“Stately, thin Thomas Jefferson came from the stairhead, bearing a bowl of lather on which a mirror and a razor lay crossed…. He held the bowl aloft and intoned:
Introibo ad altare Dei.
Halted, he peered down the dark winding stairs and called out coarsely:
Come up, Staige! Come up, you fearful editor!”

With apologies to the University of Virginia, to the Virginia Quarterly Review, and to James Joyce.

“Man, it’s long…
It’s a long, long, long road.”

Frank Sinatra

See also memorials to George Axelrod and Leon Uris, both of whom died at the summer solstice, June 21.

Wednesday, January 28, 2026

Annals of Popular Culture:
PopCult for Quine*

Filed under: General — Tags: , — m759 @ 9:27 am

* From a post of June 25, 2008

From A Logical Point of View,  Harvard U. Press, 1980, p. 72

From A Logical Point of View,  Harvard U. Press, 1980, p. 73

Trevanian (and Kurt Weill) fans may
enjoy a variation on this theme.

Wednesday, June 26, 2024

“The Big Nothing” Presents . . .

Filed under: General — Tags: — m759 @ 12:04 pm

From https://www.nytimes.com/2004/06/25/
arts/art-review-artists-who-just-say-no-to-everything.html

. . . .

''The Big Nothing'' presents an engraved invitation to Klein's ''Void,'' which I gather is now a very expensive and rare commodity. Klein would no doubt have appreciated this twist of commercial fortune. The invitation is presented alongside various photographs and ephemera from Andy Warhol's similar exhibition at the institute in 1965, which also had nothing in it except a mob of fans jamming the opening. Ms. Schaffner calls Warhol ''the Elvis of nothing,'' writing that his work, in ''an era of compliant consumer culture,'' was like ''a mirror facing a vacuum.'' Warhol appears in another photograph in the show, posing in 1985 beside a pedestal with nothing on it, a work he titled ''Invisible Sculpture.''
. . . .

— Michael Kimmelman, June 25, 2004

This nihilist meditation is from Carl Rakosi's date of death.

Rakosi appears here  in posts tagged "Inner-Outer."

Wednesday, January 31, 2024

Dance and the Soul (for St. Bridget’s Eve)

Filed under: General — Tags: , , — m759 @ 6:47 pm
 

Harold Bloom
on Wallace Stevens

and Paul Valéry's
   Dance and the Soul

"Stevens may be playful, yet seriously so, in describing desire, at winter's end, observing not only the emergence of the blue woman of early spring, but seeing also the myosotis, whose other name is 'forget-me-not.' Desire, hearing the calendar hymn, repudiates the negativity of the mind of winter, unable to bear what Valéry's Eryximachus had called 'this cold, exact, reasonable, and moderate consideration of human life as it is.' The final form of this realization in Stevens comes in 1950, in The Course of a Particular, in the great monosyllabic line 'One feels the life of that which gives life as it is.' But even Stevens cannot bear that feeling for long. As Eryximachus goes on to say in Dance and the Soul:

A cold and perfect clarity is a poison impossible to combat. The real, in its pure state, stops the heart instantaneously….[…] To a handful of ashes is the past reduced, and the future to a tiny icicle. The soul appears to itself as an empty and measurable form. — Here, then, things as they are come together, limit one another, and are thus chained together in the most rigorous and mortal fashion…. O Socrates, the universe cannot for one instant endure to be only what it is.

Valéry's formula for reimagining the First Idea is, 'The idea introduces into what is, the leaven of what is not.' This 'murderous lucidity' can be cured only by what Valéry's Socrates calls 'the intoxication due to act,' particularly Nietzschean or Dionysiac dance, for this will rescue us from the state of the Snow Man, 'the motionless and lucid observer.'"

Wallace Stevens: The Poems of Our Climate

"…at the still point, there the dance is…." — T. S. Eliot

St. Bridget's Still Point … June 25, 2020 —

Roots!

More recently . . .

Wednesday, November 3, 2021

Annals of Numerology

Filed under: General — Tags: , — m759 @ 9:36 am

From that opening date — June 25, 2021 — in this journal:

"We have much to discover." — Saying attributed to 
Christopher Marlowe in a TV series.  See posts now tagged 4X.

Midrash for Doctorow —


The Fraction  25/24 —


Numbers Revisualized —
 

                                               25

 

 24
 

Friday, June 25, 2021

Queens Gambit

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

Note of 10:44 AM ET, Friday, June 25, 2021 —

"Stephen Elliot Dunn was born on June 24,
1939, in Forest Hills, Queens . . . ."

— https://www.nytimes.com/2021/06/25/
books/stephen-dunn-poet-dead.html

Update of 11:07 AM ET the same day —

From Dunn's obituary —

Whether writing about matters small or large,
Mr. Dunn said in a 2010 episode of
The Cortland Review ’s video series “Poets in Person,” 
the key was to find the meaning beneath the experience.

“Even your most serious problem,” he said,
“very few people are going to be interested in
unless you yourself, in the act of writing the poem,
make some discoveries about it.”

—  By Neil Genzlinger, New York Times ,
     June 25, 2021, 10:23 a.m. ET

"We have much to discover." — Saying attributed to 
Christopher Marlowe in a TV series.  See posts now tagged 4X.

Midrash for Doctorow —

Scholium for Pullman —

Sunday, June 28, 2020

The Nirvana Shirt

Filed under: General — m759 @ 6:08 pm

For the shirt, see Norwegian artist Josefine Lyche in

A Search for Cobain.

Related material — A pyramid by Lyche and erotic Picasso:

Those who enjoy the occult may be entertained by the number 347 in
“Pablo Picasso. Suite 347.”  That number appeared in this  journal,
notably, on Christmas Eve 2005 as a page number from the classic
The Club Dumas , a novel by Arturo Perez-Reverte.

Sunday, January 12, 2020

Fragments

Filed under: General — Tags: — m759 @ 4:40 pm

From this journal on June 25, 2009

“… T. S. Eliot tried to recompose, in Four Quartets,
the fragments he had grieved over in The Waste Land.”

— “Beauty and Desecration,” Roger Scruton

From The Guardian  today —

From this journal this morning

“The spatial conception interconnects the meaning fragments
and binds them together . . . .

— S. Giedion, introduction to Language of Vision  by Gyorgy Kepes

Monday, October 16, 2017

Highway 61 Revisited

Filed under: G-Notes,General,Geometry — Tags: , , , — m759 @ 10:13 am

"God said to Abraham …." — Bob Dylan, "Highway 61 Revisited"

Related material — 

See as well Charles Small, Harvard '64, 
"Magic Squares over Fields" —

— and Conway-Norton-Ryba in this  journal.

Some remarks on an order-five  magic square over GF(52):

"Ultra Super Magic Square"

on the numbers 0 to 24:

22   5   18   1  14
  3  11  24   7  15
  9  17   0  13  21
10  23   6  19   2
16   4  12  20   8

Base-5:

42  10  33  01  24 
03  21  44  12  30 
14  32  00  23  41
20  43  11  34  02
31  04  22  40  13 

Regarding the above digits as representing
elements of the vector 2-space over GF(5)
(or the vector 1-space over GF(52)) 

All vector row sums = (0, 0)  (or 0, over GF(52)).
All vector column sums = same.

Above array as two
orthogonal Latin squares:
   
4 1 3 0 2     2 0 3 1 4
0 2 4 1 3     3 1 4 2 0 
1 3 0 2 4     4 2 0 3 1         
2 4 1 3 0     0 3 1 4 2
3 0 2 4 1     1 4 2 0 3

— Steven H. Cullinane,
      October 16, 2017

Saturday, August 27, 2016

Folk Notation

Filed under: General — Tags: , , — m759 @ 2:01 pm

See the Chautauqua Season post of June 25
and a search for Notation  in this journal.

See as well the previous post and Bullshit Studies .

Sunday, January 10, 2016

Field of Force

Filed under: General — Tags: — m759 @ 2:45 am

The title is adapted from that of George Steiner's book
Fields of Force: Fischer and Spassky at Reykjavik 
(Published by Viking Adult on June 25, 1974.)

For fields of narrative  force, see the previous post.

See as well a memorable review by the late Florence King
of the novel The Eight  by Katherine Neville. An illustration 
from that review (The New York Times , January 15, 1989) —

Related material Closing the Circle (Log24, Sept. 24, 2009).

Thursday, June 26, 2014

Study This Example, Part II

Filed under: General,Geometry — Tags: , — m759 @ 11:06 am

(Continued from 10:09 AM today)

The quotation below is from a webpage on media magnate
Walter Annenberg.

Annenberg Hall at Harvard, originally constructed to honor
the Civil War dead, was renamed in 1996 for his son Roger,
Harvard Class of ’62.

www.broadcastpioneers.com/
walterannenberg.html

“It was said that Roger was ‘moody and sullen’
spending large parts of his time reading poetry
and playing classical music piano. It had been
reported that Roger attempted suicide at the
age of eleven by slitting his wrists. He recovered
and was graduated Magna Cum Laude from
Episcopal Academy in our area. For awhile,
Roger attended Harvard, but he was removed
from the school’s rolls after Roger stopped doing
his school work and spent almost all his time
reading poetry in his room. He then was sent to
an exclusive and expensive treatment center
in Bucks County, Pennsylvania. At that facility,
Roger became more remote. It was said that he
often didn’t recognize or acknowledge his father.
On August 7, 1962, Roger Annenberg died from
an overdose of sleeping pills.”

A more appropriate Annenberg memorial, an article
in The Atlantic  magazine on June 25, notes that…

“Among those who ended up losing their battles
with mental illness through suicide are
Virginia Woolf, Ernest Hemingway, Vincent van Gogh,
John Berryman, Hart Crane, Mark Rothko, Diane Arbus,
Anne Sexton, and Arshile Gorky.”

Thursday, May 8, 2014

Wrinkles in Time

Filed under: General — Tags: — m759 @ 2:25 pm

Rivka Galchen, in a piece mentioned here in June 2010

On Borges:  Imagining the Unwritten Book 

"Think of it this way: there is a vast unwritten book that the heart reacts to, that it races and skips in response to, that it believes in. But it’s the heart’s belief in that vast unwritten book that brought the book into existence; what appears to be exclusively a response (the heart responding to the book) is, in fact, also a conjuring (the heart inventing the book to which it so desperately wishes to respond)."

Related fictions

Galchen's "The Region of Unlikeness" (New Yorker , March 24, 2008)

Ted Chiang's "Story of Your Life." A film adaptation is to star Amy Adams.

… and non-fiction

"There is  such a thing as a 4-set." — January 31, 2012

Tuesday, January 10, 2012

Defining Form

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

(Continued from Epiphany and from yesterday.)

Detail from the current American Mathematical Society homepage

http://www.log24.com/log/pix12/120110-AMS_page-Detail.jpg

Further detail, with a comparison to Dürer’s magic square—

http://www.log24.com/log/pix12/120110-Donmoyer-Still-Life-Detail.jpg http://www.log24.com/log/pix12/120110-DurerSquare.jpg

The three interpenetrating planes in the foreground of Donmoyer‘s picture
provide a clue to the structure of the the magic square array behind them.

Group the 16 elements of Donmoyer’s array into four 4-sets corresponding to the
four rows of Dürer’s square, and apply the 4-color decomposition theorem.
Note the symmetry of the set of 3 line diagrams that result.

Now consider the 4-sets 1-4, 5-8, 9-12, and 13-16, and note that these
occupy the same positions in the Donmoyer square that 4-sets of
like elements occupy in the diamond-puzzle figure below—

http://www.log24.com/log/pix12/120110-DiamondPuzzleFigure.jpg

Thus the Donmoyer array also enjoys the structural  symmetry,
invariant under 322,560 transformations, of the diamond-puzzle figure.

Just as the decomposition theorem’s interpenetrating lines  explain the structure
of a 4×4 square , the foreground’s interpenetrating planes  explain the structure
of a 2x2x2 cube .

For an application to theology, recall that interpenetration  is a technical term
in that field, and see the following post from last year—

Saturday, June 25, 2011 

Theology for Antichristmas

— m759 @ 12:00 PM

Hypostasis (philosophy)

“… the formula ‘Three Hypostases  in one Ousia
came to be everywhere accepted as an epitome
of the orthodox doctrine of the Holy Trinity.
This consensus, however, was not achieved
without some confusion….” —Wikipedia

http://www.log24.com/log/pix11A/110625-CubeHypostases.gif

Ousia

Click for further details:

http://www.log24.com/log/pix11A/110625-ProjectiveTrinitySm.jpg

 

Tuesday, November 23, 2010

Art Object

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

There is more than one way
to look at a cube.

http://www.log24.com/log/pix10B/101123-plain_cube_200x227.gif

 From Cambridge U. Press on Feb. 20, 2006 —

IMAGE- 'Cambridge Tracts in Mathematics 168: The Cube'

and from this journal on June 30, 2010 —

In memory of Wu Guanzhong, Chinese artist
who died in Beijing on June 25, 2010

Image-- The Dream of the Expanded Field

See also this journal on Feb. 20, 2006
(the day The Cube  was published).

Thursday, October 7, 2010

Geometry and the Evening Star

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

An ancient symbol of Venus, the Evening Star—

http://www.log24.com/log/pix10B/101007-EveningStar.jpg

For some background, see AntiChristmas (June 25), 2008 and The Devil and Wallace Stevens.

A purely mathematical version of the same figure—

http://www.log24.com/log/pix10B/101007-KaneReflGps19.gif

Sunday, September 12, 2010

Brightness at Noon continued

Filed under: General — m759 @ 12:00 pm

16 + 9 = 25.

See also this morning's entry and "June 25" in this journal.

A Fragment of Time*

Filed under: General — m759 @ 4:30 am

Between midnight and dawn, when the past is all deception,
The future futureless, before the morning watch
When time stops and time is never ending….

Four Quartets

June 25, 2010

Image-- Rosalind Krauss and The Ninefold Square

Art Theorist Rosalind Krauss and The Ninefold Square

* Title from a quotation in the Sunday New York Times  today
  (in a story about a June 25 death beginning on page MB1 of the New York edition)

Monday, August 30, 2010

Re-Imagining

Filed under: General — Tags: — m759 @ 10:01 pm

A New York Times  story from the Feast of St. Augustine
("A version of this article appeared in print on August 28, 2010,
on page A17 of the New York edition.") —

22-Story Fall in Manhattan
Kills Daughter of U.S. Envoy

By AL BAKER and KAREN ZRAICK

With summer winding down, Eric G. John, the United States ambassador to Thailand, made a trip familiar to many parents: he accompanied his 17-year-old daughter to New York as she got ready for her first year of college.

But his daughter, Nicole, barely experienced being a freshman at Parsons The New School For Design, near Union Square.

She died early Friday [August 27, 2010] after falling 22 floors from a high-rise apartment building in Herald Square after a night out that led her and friends to a party at the high-rise….

The Thailand and Design links above are the Times's.
The August 27 link is not.

Clicking on the Times's Design link leads to…

http://www.log24.com/log/pix10B/100830-Parsons.jpg

Re-Imagining Orozco

June 25 – September 12, 2010

Opening reception: June 24, 6:30 – 8:30 p.m.

This journal, June 24, 12:31 p.m.

… Todo lo sé por el lucero puro
que brilla en la diadema de la Muerte.

– Rubén Darío

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