Log24

Tuesday, June 25, 2013

Happy AntiChristmas

Filed under: General — m759 @ 2:00 pm

"Maybe birthdays are dangerous. Like Christmas."

— Cormac McCarthy, The Sunset Limited

Saturday, June 25, 2011

Theology for Antichristmas

Filed under: General,Geometry — Tags: — 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

Friday, December 30, 2022

“The ‘Dim Void’: Beckett’s Worstward Ho!

Filed under: General — Tags: — m759 @ 9:53 am

The title is from . . .

https://booksonthewall.com/blog/samuel-beckett-quote-fail-better/ .

This post was suggested by yesterday's Feast of St. Thomas Becket

A Beckett-related flashback linked to here yesterday

Rosalind Krauss in 1978 —

"To get inside the systems of this work,
whether LeWitt's or Judd's or Morris's,
is precisely to enter
a world without a center,
a world of substitutions and transpositions
nowhere legitimated by the revelations
of a transcendental subject. This is the strength
of this work, its seriousness, and its claim to modernity." 

Tuesday, December 21, 2021

Grid Language, Grid Logic

Filed under: General — m759 @ 12:00 am

Grid Language —

Anna Schechtman on the grid and crossword puzzles

Grid Logic —

Tesseract  in this journal and "The Unmagicking."

Rosalind Krauss and Grid

Thursday, April 15, 2021

Grid View and List View

Filed under: General — m759 @ 2:30 pm

From AntiChristmas 2010

Image-- Rosalind Krauss and The Ninefold Square

Above: Art Theorist Rosalind Krauss and The Ninefold Square

   For Krauss:

      Grid View                                                List View

Sunday, September 27, 2020

Remarks on Gordon Baker’s Death Day*

Filed under: General — Tags: , , — m759 @ 12:59 pm

An AntiChristmas Present

* Baker was a writer on philosophy.
See a memorial by the Harvard Class of 1960.

Sunday, July 9, 2017

Sunday School Lesson

Filed under: General — m759 @ 9:00 am

"The Occult Roots of Modernism," by Alex Ross,
in the June 26, 2017, issue of The New Yorker .

A related illustration

Wednesday, January 7, 2015

Gitterkrieg

Filed under: General — Tags: , — m759 @ 9:00 pm

(Continued from Jan. 3 and Jan. 5.) 

Introduction: "Grids, You Say?" by Josefine Lyche,
and AntiChristmas 2010:

Related material:
Chapter 42 in
A History of Graphic Design ,
by Guity Novin.

Monday, December 22, 2014

Tablet

Filed under: General — m759 @ 9:09 pm

See also AntiChristmas.

Tuesday, October 21, 2014

Art as a Tool

Filed under: General,Geometry — Tags: — m759 @ 12:35 pm

Two news items on art as a tool:

Two Log24 posts related to the 3×3 grid, the underlying structure for China’s
ancient Lo Shu “magic” square:

Finally, leftist art theorist Rosalind Krauss in this journal
on AntiChristmas, 2010:

Which is the tool here, the grid or Krauss?

Tuesday, October 30, 2012

Black October

Filed under: General — m759 @ 9:00 am

From AntiChristmas 2010

Image-- Rosalind Krauss and The Ninefold Square

Art theorist Rosalind Krauss and The Ninefold Square

Krauss is a co-founder of the art journal October .
For some backgound, see the overlapping searches
Krauss October and Matrix Architect.

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

 

Monday, July 11, 2011

Accentuate the Positive

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

An image that may be viewed as
a cube with a + on each face—

http://www.log24.com/log/pix11B/110711-EightfoldCube.gif

The eightfold cube

http://www.log24.com/log/pix11B/110711-CubeHypostases.gif

Underlying structure

For the Pope and others on St. Benedict’s Day
who prefer narrative to mathematics—

Friday, July 8, 2011

Baudelaire, Your Shiny Friend

Filed under: General — Tags: — m759 @ 8:48 pm

Google Translate version of a recent Norwegian art review

Josefine Lyche show is working on the basis of crop circles occur in Pewsey, Wiltshire in England for exactly one year ago on 21 June. Three circulars forms of aluminum quote forms from the field in England. With this as a starting point invites Lyche viewer to explore the sacred shapes and patterns through painting, floor work and sculpture. In the monumental painting "Wisdom Luxury Romance" draws Lyche lines to both Matisse and Baudelaire in his poem "L'invitation au voyage ."

From the artist's website, JosefineLyche.com

Click to enlarge

http://www.log24.com/log/pix11B/110708-WISDOM_LUXURY_ROMANCE-500W.jpg

WISDOM LUXURY ROMANCE

From elsewhere—

http://www.log24.com/log/pix11B/110708-Alcoa_Logo.jpg

Related material

From Antichristmas 2002— Aluminum, Your Shiny Friend.

From Sept. 22, 2004— Tribute… in the context of
today's previous entry  and of the conclusion of the story
that later became Childhood's End

http://www.log24.com/log/pix11B/110708-ClarkeSm.jpg

Sunday, June 26, 2011

Paradigms Lost

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

Continued from March 10, 2011 — A post that says

"If Galois geometry is thought of as a paradigm shift
from Euclidean geometry, both… the Kuhn cover
and the nine-point affine plane may be viewed…
as illustrating the shift."

Yesterday's posts The Fano Entity and Theology for Antichristmas,
together with this morning's New York Times  obituaries (below)—

http://www.log24.com/log/pix11A/110626-NYTobits.jpg

—suggest a Sunday School review from last year's
    Devil's Night (October 30-31, 2010)

Sunday, October 31, 2010

ART WARS

m759 @ 2:00 AM

                                …    There is a Cave
Within the Mount of God, fast by his Throne,
Where light and darkness in perpetual round
Lodge and dislodge by turns, which makes through Heav'n
Grateful vicissitude, like Day and Night….

Paradise Lost , by John Milton

http://www.log24.com/log/pix09A/091024-RayFigure.jpg

Click on figure for details.

http://www.log24.com/log/pix10B/101031-Pacino.jpg

Al Pacino in Devil's Advocate
as attorney John Milton

See also Ash Wednesday Surprise and Geometry for Jews.

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

Tuesday, July 7, 2009

Tuesday July 7, 2009

Filed under: General — m759 @ 10:10 pm
Review

On June 25
  in this journal–

A Word for AntiChristmas:

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

— “Beauty and Desecration,”
   Roger Scruton

Today’s word
(thanks to Michael Jackson)–

Tikkun

'Heal the World' at July 7, 2009, Michael Jackson Memorial Service in Los Angeles

From Log24 on Nov. 12, 2005:

“‘Tikkun Olam, the fixing of the world,’ she whispers. ‘I’ve been gathering up the broken vessels to make things whole again.'”

— Miriam in Bee Season

Tikkun Olam, the gathering of the divine fragments, is a religious activity…. How do we work for the repair of the world? If we live in a humpty dumpty world, how do we get it all put back together again?”

A Sunday Sermon
    for Yom Kippur
    by the Rev. Joshua Snyder
    on Oct. 5, 2003
    [See also Log24 on that date.]


“… the tikkun can’t start until everyone asks what happened– not just the Jews but everybody. The strange thing is that Christ evidently saw this.”

— Martha Cooley, The Archivist

Saturday, December 6, 2008

Saturday December 6, 2008

Filed under: General,Geometry — Tags: — m759 @ 2:01 pm
Another Opening,
Another Show

"While feasts of Saint Nicholas are not observed nationally, cities with strong German influences like Milwaukee, Cincinnati, and St. Louis celebrate St. Nick's Day on a scale similar to the German custom." —Wikipedia

A footprint from Germany:

Germany
Python-urllib
/504856559/item.html 12/6/2008
1:21 PM

The link in the above footprint leads
to an entry of July 5, 2006.

The access method:

The urllib Module

"The Python urllib module implements a fairly high-level abstraction for making any web object with a URL act like a Python file: i.e., you open it, and get back an object…."


For more pictures and discussion
of the object fetched by Python,
see AntiChristmas 2007.

For a larger and more sophisticated
relative of that object,
 see Solomon's Cube and
the related three presents
from the German link's target:

Spellbound: A trinity of Christmas presents

1. Many Dimensions
2. Boggle
3. My Space

Wednesday, July 9, 2008

Wednesday July 9, 2008

Filed under: General,Geometry — m759 @ 8:28 am
God, Time, Epiphany

8:28:32 AM

Anthony Hopkins, from
All Hallows' Eve
last year
:

"For me time is God,
God is time. It's an equation,
like an Einstein equation."

James Joyce, from
June 26 (the day after
AntiChristmas) this year
:

"… he glanced up at the clock
of the Ballast Office and smiled:
— It has not epiphanised yet,
he said."

Ezra Pound (from a page
linked to yesterday morning):

"It seems quite natural to me
that an artist should have
just as much pleasure in an
arrangement of planes
or in a pattern of figures,
  as in painting portraits…."

From Epiphany 2008:

An arrangement of planes:

http://www.log24.com/log/pix08/080709-Epiphany.gif

From May 10, 2008:

A pattern of figures:

 

Seven partitions of the 2x2x2 cube in 'Paradise of Childhood'

See also Richard Wilhelm on
Hexagram 32 of the I Ching:

 

"Duration is a state whose movement is not worn down by hindrances. It is not a state of rest, for mere standstill is regression. Duration is rather the self-contained and therefore self-renewing movement of an organized, firmly integrated whole, taking place in accordance with immutable laws and beginning anew at every ending. The end is reached by an inward movement, by inhalation, systole, contraction, and this movement turns into a new beginning, in which the movement is directed outward, in exhalation, diastole, expansion."

 

'The Middle-English Harrowing of Hell,' by Hulme, 1907, page 64, line 672: 'with this he gaf the gaste'

The Middle-English
    Harrowing of Hell…

    by Hulme, 1907, page 64

Thursday, June 26, 2008

Thursday June 26, 2008

Filed under: General — m759 @ 10:04 am
Review
 
Yesterday, June 25, was the 100th anniversay of W.V. Quine's birth and also the day on the calendar opposite Christmas–  In the parlance of Quine's son Douglas, AntiChristmas.

Having survived that ominous date, I feel it is fitting to review what Wallace Stevens called "Credences of Summer"– religious principles for those who feel that faith and doubt are best reconciled by art.

 

"Credences of Summer," VII,

by Wallace Stevens, from
Transport to Summer (1947)

"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."

Definition of Epiphany

From James Joyce's Stephen Hero, first published posthumously in 1944. The excerpt below is from a version edited by John J. Slocum and Herbert Cahoon (New York: New Directions Press, 1959).

Three Times:

… By an epiphany he meant a sudden spiritual manifestation, whether in the vulgarity of speech or of gesture or in a memorable phase of the mind itself. He believed that it was for the man of letters to record these epiphanies with extreme care, seeing that they themselves are the most delicate and evanescent of moments. He told Cranly that the clock of the Ballast Office was capable of an epiphany. Cranly questioned the inscrutable dial of the Ballast Office with his no less inscrutable countenance:

— Yes, said Stephen. I will pass it time after time, allude to it, refer to it, catch a glimpse of it. It is only an item in the catalogue of Dublin's street furniture. Then all at once I see it and I know at once what it is: epiphany.

— What?

— Imagine my glimpses at that clock as the gropings of a spiritual eye which seeks to adjust its vision to an exact focus. The moment the focus is reached the object is epiphanised. It is just in this epiphany that I find the third, the supreme quality of beauty.

— Yes? said Cranly absently.

— No esthetic theory, pursued Stephen relentlessly, is of any value which investigates with the aid of the lantern of tradition. What we symbolise in black the Chinaman may symbolise in yellow: each has his own tradition. Greek beauty laughs at Coptic beauty and the American Indian derides them both. It is almost impossible to reconcile all tradition whereas it is by no means impossible to find the justification of every form of beauty which has ever been adored on the earth by an examination into the mechanism of esthetic apprehension whether it be dressed in red, white, yellow or black. We have no reason for thinking that the Chinaman has a different system of digestion from that which we have though our diets are quite dissimilar. The apprehensive faculty must be scrutinised in action.

— Yes …

— You know what Aquinas says: The three things requisite for beauty are, integrity, a wholeness, symmetry and radiance. Some day I will expand that sentence into a treatise. Consider the performance of your own mind when confronted with any object, hypothetically beautiful. Your mind to apprehend that object divides the entire universe into two parts, the object, and the void which is not the object. To apprehend it you must lift it away from everything else: and then you perceive that it is one integral thing, that is a thing. You recognise its integrity. Isn't that so?

— And then?

— That is the first quality of beauty: it is declared in a simple sudden synthesis of the faculty which apprehends. What then? Analysis then. The mind considers the object in whole and in part, in relation to itself and to other objects, examines the balance of its parts, contemplates the form of the object, traverses every cranny of the structure. So the mind receives the impression of the symmetry of the object. The mind recognises that the object is in the strict sense of the word, a thing, a definitely constituted entity. You see?

— Let us turn back, said Cranly.

They had reached the corner of Grafton St and as the footpath was overcrowded they turned back northwards. Cranly had an inclination to watch the antics of a drunkard who had been ejected from a bar in Suffolk St but Stephen took his arm summarily and led him away.

— Now for the third quality. For a long time I couldn't make out what Aquinas meant. He uses a figurative word (a very unusual thing for him) but I have solved it. Claritas is quidditas. After the analysis which discovers the second quality the mind makes the only logically possible synthesis and discovers the third quality. This is the moment which I call epiphany. First we recognise that the object is one integral thing, then we recognise that it is an organised composite structure, a thing in fact: finally, when the relation of the parts is exquisite, when the parts are adjusted to the special point, we recognise that it is that thing which it is. Its soul, its whatness, leaps to us from the vestment of its appearance. The soul of the commonest object, the structure of which is so adjusted, seems to us radiant. The object achieves its epiphany.

Having finished his argument Stephen walked on in silence. He felt Cranly's hostility and he accused himself of having cheapened the eternal images of beauty. For the first time, too, he felt slightly awkward in his friend's company and to restore a mood of flippant familiarity he glanced up at the clock of the Ballast Office and smiled:

— It has not epiphanised yet, he said.

Under the Volcano,

by Malcolm Lowry,
1947, Chapter VI:

"What have I got out of my life? Contacts with famous men… The occasion Einstein asked me the time, for instance. That summer evening…. smiles when I say I don't know. And yet asked me. Yes: the great Jew, who has upset the whole world's notions of time and space, once leaned down… to ask me… ragged freshman… at the first approach of the evening star, the time. And smiled again when I pointed out the clock neither of us had noticed."

An approach of
the evening star yesterday:

Four-elements figure from webpage 'The Rotation of the Elements'

This figure is from a webpage,
"The Rotation of the Elements,"
cited here yesterday evening.

As noted in yesterday's early-
morning entry on Quine
, the
figure is (without the labels)
a classic symbol of the
evening star.

"The appearance of the evening star brings with it long-standing notions of safety within and danger without. In a letter to Harriet Monroe, written December 23, 1926, Stevens refers to the Sapphic fragment that invokes the genius of evening: 'Evening star that bringest back all that lightsome Dawn hath scattered afar, thou bringest the sheep, thou bringest the goat, thou bringest the child home to the mother.' Christmas, writes Stevens, 'is like Sappho's evening: it brings us all home to the fold' (Letters of Wallace Stevens, 248)."

— Barbara Fisher,
"The Archangel of Evening,"
Chapter 5 of Wallace Stevens:
The Intensest Rendezvous
,
The University Press of Virginia, 1990

Wednesday, April 30, 2008

Wednesday April 30, 2008

Filed under: General — Tags: — m759 @ 9:00 am
Calendar Catechism

Q: If the opposite of Christmas (December 25) is AntiChristmas (June 25), and the opposite of Halloween (October 31) is May Day (May 1), then what is the opposite of April 30?

A: October 30… Devil's Night!

Related material:

Walpurgis Night,
 
the previous entry,
 
and
 
H is for Hogwarts

Thursday, June 28, 2007

Thursday June 28, 2007

Filed under: General — Tags: — m759 @ 9:00 pm
Real Numbers:
An Object Lesson

(continued from
AntiChristmas)

A Cornell professor discusses a poem by Wallace Stevens:

"Professor Eucalyptus in 'Ordinary Evening' XIV, for example, 'seeks/ God in the object itself,' but this quest culminates in his own choosing of 'the commodious adjective/ For what he sees… the description that makes it divinity, still speech… not grim/ Reality but reality grimly seen/ And spoken in paradisal parlance new'…."

— Douglas Mao, Solid Objects:
Modernism and the Test
of Production,
Princeton University Press,
1998, p. 242
 
"God in the object" seems
unlikely to be found in the
artifact pictured on the
cover of Mao's book:
 
Solid Objects by Douglas Mao
 
I have more confidence
that God is to be found
in the Ping Pong balls
of the New York Lottery.
 
NY Lottery June 28, 2007: Mid-day 309, Evening 514

 

These objects may be
regarded as supplying
a parlance that is, if not
paradisal, at least
intelligible– if only in
the context of my own
personal experience:

Journal entry dated 5/14:

The Pope asks 'What is real?'
 
Journal entries dated 3/09:

Queen's Gambit,
Symbols, and
Is Nothing Sacred?

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

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

Wednesday, July 2, 2003

Wednesday July 2, 2003

Filed under: General — m759 @ 7:00 pm

Three Days Late
and a Dollar Short

THE BOOK AGAINST GOD
By James Wood.
257 pp. New York:
Farrar, Straus & Giroux. $24. 

This is a book that attempts to recreate the myth of Saint Peter.

See the New York Times review of this book from today, July 2, 2003, three days late.  The Feast of St. Peter was on June 29.

The price, $24, also falls short of the theological glory reflected in the number 25, the common denominator of Christmas (12/25) and AntiChristmas (6/25), as well as the number of the heart of the Catholic church, the Bingo card

For all these issues, see my entries and links in memory of St. Peter, from June 29

The real “book against God,” a novel by Robert Stone, is cited there.  The legend of St. Peter is best described by Stone, not Wood.

Friday, December 27, 2002

Friday December 27, 2002

Filed under: General — Tags: — m759 @ 3:43 pm

Least Popular Christmas Present

 
Derrida

From the University of Chicago Press, Religion and Postmodernism Series:

The Gift of Death,
by Jacques Derrida

Russell Berrie, toy maker, dies on Christmas Day. (AP photo)

See also my note "Last-Minute Shopping"
of December 20, 2002, and my note
"An AntiChristmas Present" of June 25, 2002.

On the bright side: Berrie joins comedians
W. C. Fields and Charlie Chaplin,
who also died on Christmas Day. 
"Dying is easy; comedy is hard."
— Unknown source.
See my note on Santa's last words.

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