"Maybe birthdays are dangerous. Like Christmas."
— Cormac McCarthy, The Sunset Limited
"Maybe birthdays are dangerous. Like Christmas."
— Cormac McCarthy, The Sunset Limited
“… 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
Ousia
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 —
"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."
From AntiChristmas 2010 —
Above: Art Theorist Rosalind Krauss and The Ninefold Square
For Krauss:
Grid View List View
* Baker was a writer on philosophy.
See a memorial by the Harvard Class of 1960.
"The Occult Roots of Modernism," by Alex Ross,
in the June 26, 2017, issue of The New Yorker .
A related illustration —
(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.
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?
From AntiChristmas 2010—
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.
(Continued from Epiphany and from yesterday.)
Detail from the current American Mathematical Society homepage—
Further detail, with a comparison to Dürer’s magic square—
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—
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
— m759 @ 12:00 PM “… the formula ‘Three Hypostases in one Ousia ‘ Ousia
|
An image that may be viewed as
a cube with a “+“ on each face—
The eightfold cube
Underlying structure
For the Pope and others on St. Benedict’s Day
who prefer narrative to mathematics—
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
From the artist's website, JosefineLyche.com—
WISDOM LUXURY ROMANCE
From elsewhere—
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 —
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)—
—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 – Paradise Lost , by John Milton
|
See also Ash Wednesday Surprise and Geometry for Jews.
An ancient symbol of Venus, the Evening Star—
For some background, see AntiChristmas (June 25), 2008 and The Devil and Wallace Stevens.
A purely mathematical version of the same figure—
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,” |
Today’s word
(thanks to Michael Jackson)–
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 “… 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 |
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
|
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:
1. Many Dimensions 2. Boggle 3. My Space |
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:
From May 10, 2008:
A pattern of figures:
|
See also Richard Wilhelm on
Hexagram 32 of the I Ching:
— The Middle-English
Harrowing of Hell…
by Hulme, 1907, page 64
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
"Three times the concentred |
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, "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
This figure is from a webpage,
As noted in yesterday's early- "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, |
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:
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'…."
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:
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, |
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
— "Credences of Summer," VII, |
Object:
From Friedrich Froebel,
who invented kindergarten:
From Christmas 2005:
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
Religious Symbolism
at Midnight:
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, |
||
Bright Star
|
Amen.
|
Dark Lady
|
Three Days Late
and a Dollar Short
THE BOOK AGAINST GOD |
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.
Least Popular Christmas Present
|
From the University of Chicago Press, Religion and Postmodernism Series:
The Gift of Death, |
|
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.
Powered by WordPress