See also Krauss Cross.
Monday, February 12, 2018
Sunday, September 1, 2013
Argo
For the late actor Victor Argo, a religious symbol : the Krauss Cross.
Some backstory :
"Now don't tell me… You're St. Peter."
— James Bond in Diamonds Are Forever
For a life of Victor Argo, see The New York Times
on April 9, Good Friday, 2004.
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Wednesday, February 18, 2009
Wednesday February 18, 2009
Raiders of
the Lost Well
| “The challenge is to keep high standards of scholarship while maintaining showmanship as well.” |
— Olga Raggio, a graduate of the Vatican library school and the University of Rome who, at one point in her almost 60 years with the Metropolitan Museum of Art, organized “The Vatican Collections,” a blockbuster show. Dr. Raggio died on January 24.
The next day, “The Last Templar,” starring Mira Sorvino, debuted on NBC.
“The story, involving the Knights Templar, the Vatican, sunken treasure, the fate of Christianity and a decoding device that looks as if it came out of a really big box of medieval Cracker Jack, is the latest attempt to combine Indiana Jones derring-do with ‘Da Vinci Code’ mysticism.”
Sorvino in “The Last Templar”
at the Church of the Lost Well:
at the Church of the Lost Well:
“One highlight of Secretary of State Hillary Clinton’s first overseas trip will be a stop in China. Her main mission in Beijing will be to ensure that US-China relations under the new Obama administration get off to a positive start.”
— Stephanie Ho, Voice of America Beijing bureau chief, today
Symbol of The Positive,
from this journal
on Valentine’s Day:
“Stephanie started at the Voice of America as an intern in 1991. She left briefly to attend film school in London in 2000. Although she didn’t finish, she has always wanted to be a film school dropout, so now she’s living one of her dreams.
Stephanie was born in Ohio and grew up in California. She has a bachelor’s degree in Asian studies with an emphasis on Chinese history and economics, from the University of California at Berkeley.”
“She is fluent in
Mandrin Chinese.”
—VOA
As is Mira Sorvino.
Those who, like Clinton, Raggio, and
Sorvino’s fictional archaeologist in
“The Last Templar,” prefer Judeo-
Christian myths to Asian myths,
may convert the above Chinese
“well” symbol to a cross
(or a thick “+” sign)
by filling in five of
the nine spaces outlined
by the well symbol.
In so doing, they of course
run the risk, so dramatically
portrayed by Angelina Jolie
as Lara Croft, of opening
Pandora’s Box.
(See Rosalind Krauss, Professor
of Art and Theory at Columbia,
for scholarly details.)
Krauss
Comments Off on Wednesday February 18, 2009
Monday, October 9, 2006
Monday October 9, 2006
ART WARS:
To Apollo
To Apollo
“This is the garden of Apollo,
the field of Reason….”
John Outram, architect
To Apollo (10/09/02)
Art Wars: Apollo and Dionysus (10/09/02)
Balanchine’s Birthday (01/09/03)
Art Theory for Yom Kippur (10/05/03)
A Form (05/22/04)
Ineluctable (05/27/04)
A Form, continued (06/05/04)
Parallelisms (06/06/04)
Ado (06/25/04)
Deep Game (06/26/04)
Gameplayers of Zen (06/27/04)
And So To Bed (06/29/04)
Translation Plane for Rosh Hashanah (09/15/04)
Derrida Dead (10/09/04)
The Nine (11/09/04)
From Tate to Plato (11/19/04)
Art History (05/11/05)
A Miniature Rosetta Stone (08/06/05)
High Concept (8/23/05)
High Concept, Continued (8/24/05)
Analogical Train of Thought (8/25/05)
Today’s Sermon: Magical Thinking (10/09/05)
Balance (10/31/05)
Matrix (11/01/05)
Seven is Heaven, Eight is a Gate (11/12/05)
Nine is a Vine (11/12/05)
Apollo and Christ (12/02/05)
Hamilton’s Whirligig (01/05/06)
Cross (01/06/06)
On Beauty (01/26/06)
Sunday Morning (01/29/06)
Centre (01/29/06)
New Haven (01/29/06)
Washington Ballet (02/05/06)
Catholic Schools Sermon (02/05/06)
The Logic of Apollo (02/05/06)
Game Boy (08/06/06)
Art Wars Continued: The Krauss Cross (09/13/06)
Art Wars Continued: Pandora’s Box (09/16/06)
The Pope in Plato’s Cave (09/16/06)
Today’s Birthdays (09/26/06)
Symbology 101 (09/26/06)
Comments Off on Monday October 9, 2006
Wednesday, September 13, 2006
Wednesday September 13, 2006
The Krauss Cross
"If we open any tract– Plastic Art and Pure Plastic Art or The Non-Objective World, for instance– we will find that Mondrian and Malevich are not discussing canvas or pigment or graphite or any other form of matter. They are talking about Being or Mind or Spirit. From their point of view, the grid is a staircase to the Universal, and they are not interested in what happens below in the Concrete.
Or, to take a more up-to-date example, we could think about Ad Reinhardt who, despite his repeated insistence that 'Art is art,' ended up by painting a series of black nine-square grids in which the motif that inescapably emerges is a Greek cross. There is no painter in the West who can be unaware of the symbolic power of the cruciform shape and the Pandora's box of spiritual reference that is opened once one uses it."
Rebecca Goldstein on
Mathematics and Narrative:
"I don't write exclusively on Jewish themes or about Jewish characters. My collection of short stories, Strange Attractors, contained nine pieces, five of which were, to some degree, Jewish, and this ratio has provided me with a precise mathematical answer (for me, still the best kind of answer) to the question of whether I am a Jewish writer. I am five-ninths a Jewish writer."
Jacques Maritain,
October 1941:
"The passion of Israel
today is taking on
more and more distinctly
the form of the Cross."
E. L. Doctorow,
City of God:
"In the garden of Adding,
Live Even and Odd."
Comments Off on Wednesday September 13, 2006
Tuesday, April 2, 2024
For Harlan Kane: The Rothfeld Explanation
Earlier . . .
A Riddler Wannabe —
Related material — The Krauss passage quoted as above
by Shechtman in The New Yorker in December 2021 appears
also in a Log24 post of October 18, 2017: "Three Small Grids."
Comments Off on For Harlan Kane: The Rothfeld Explanation
Wednesday, December 21, 2022
The Unmagic Square
Last year on this date:
A Riddler Wannabe —
Related material — The Krauss passage quoted as above
by Shechtman in The New Yorker in December 2021 appears
also in a Log24 post of October 18, 2017: "Three Small Grids."
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Tuesday, December 21, 2021
Grid Language, Grid Logic
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Wednesday, March 3, 2021
Ink
From this journal on Nov. 9-12, 2004:
|
Fade to Black “…that ineffable constellation of talents that makes the player of rank: a gift for conceiving abstract schematic possibilities; a sense of mathematical poetry in the light of which the infinite chaos of probability and permutation is crystallized under the pressure of intense concentration into geometric blossoms; the ruthless focus of force on the subtlest weakness of an opponent.” — Trevanian, Shibumi “‘Haven’t there been splendidly elegant colors in Japan since ancient times?’ ‘Even black has various subtle shades,’ Sosuke nodded.” — Yasunari Kawabata, The Old Capital  Ad Reinhardt An Ad Reinhardt painting described in the entry of
Ad Reinhardt, Abstract Painting, 1960-66. The viewer may need to tilt the screen to see that “The grid is a staircase to the Universal…. We could think about Ad Reinhardt, who, despite his repeated insistence that ‘Art is art,’ ended up by painting a series of… nine-square grids in which the motif that inescapably emerges is a Greek cross.  Greek Cross There is no painter in the West who can be unaware of the symbolic power of the cruciform shape and the Pandora’s box of spiritual reference that is opened once one uses it.” — “Grids,” by Rosalind Krauss, |
Related material from The New York Times today —
Comments Off on Ink
Saturday, September 20, 2014
Contest
Once again, Harvard defeats Holy Cross.
See also a related remark by Norman Mailer, and Plan 9 in this journal.
Presumably the Holy Cross defeat will please art theorist Rosalind Krauss (below).
(Click to enlarge.)
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Sunday, April 28, 2013
Red October’s Sermon
… For the Harvard Arts Weekend:
"Grids, You Say?" by Josefine Lyche, with
Lyche's quotation from Rosalind Krauss in October
(Vol. 9, Summer 1979) —
 |
See also last evening's Elevation of the Host, with Vampire Weekend.
"For every kind of vampire, there is a kind of cross." — Gravity's Rainbow
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Tuesday, October 2, 2012
Red October
"In the master's bedroom, they gathered for the feast…."
— Suggested by the current film Hotel Transylvania
"For every kind of vampire, there is a kind of cross."
– Thomas Pynchon, Gravity's Rainbow
Related material— the Feast of Saint Patrick in 2009.
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Saturday, January 8, 2011
True Grid (continued)
"Rosetta Stone" as a Metaphor
in Mathematical Narratives
For some backgound, see Mathematics and Narrative from 2005.
Yesterday's posts on mathematics and narrative discussed some properties
of the 3×3 grid (also known as the ninefold square ).
For some other properties, see (at the college-undergraduate, or MAA, level)–
Ezra Brown, 2001, "Magic Squares, Finite Planes, and Points of Inflection on Elliptic Curves."
His conclusion:
When you are done, you will be able to arrange the points into [a] 3×3 magic square,
which resembles the one in the book [5] I was reading on elliptic curves….
This result ties together threads from finite geometry, recreational mathematics,
combinatorics, calculus, algebra, and number theory. Quite a feat!
5. Viktor Prasolov and Yuri Solvyev, Elliptic Functions and Elliptic Integrals ,
American Mathematical Society, 1997.
Brown fails to give an important clue to the historical background of this topic —
the word Hessian . (See, however, this word in the book on elliptic functions that he cites.)
Investigation of this word yields a related essay at the graduate-student, or AMS, level–
Igor Dolgachev and Michela Artebani, 2009, "The Hesse Pencil of Plane Cubic Curves ."
From the Dolgachev-Artebani introduction–
In this paper we discuss some old and new results about the widely known Hesse
configuration of 9 points and 12 lines in the projective plane P2(k ): each point lies
on 4 lines and each line contains 3 points, giving an abstract configuration (123, 94).
PlanetMath.org on the Hesse configuration—
A picture of the Hesse configuration–
(See Visualizing GL(2,p), a note from 1985).
Related notes from this journal —
From last November —
|
From the December 2010 American Mathematical Society Notices—
Related material from this journal— Consolation Prize (August 19, 2010) |
From 2006 —
|
Sunday December 10, 2006
“Function defined form, expressed in a pure geometry
– J. G. Ballard on Modernism
“The greatest obstacle to discovery is not ignorance –
— Daniel J. Boorstin, |
Also from 2006 —
|
Sunday November 26, 2006
Rosalind Krauss "If we open any tract– Plastic Art and Pure Plastic Art or The Non-Objective World , for instance– we will find that Mondrian and Malevich are not discussing canvas or pigment or graphite or any other form of matter. They are talking about Being or Mind or Spirit. From their point of view, the grid is a staircase to the Universal, and they are not interested in what happens below in the Concrete. Or, to take a more up-to-date example…."
"He was looking at the nine engravings and at the circle,
"And it's whispered that soon if we all call the tune
The nine engravings of The Club Dumas
An example of the universal*– or, according to Krauss,
"This is the garden of Apollo, the field of Reason…."
For more on the field of reason, see
A reasonable set of "strange correspondences" Unreason is, of course, more popular. * The ninefold square is perhaps a "concrete universal" in the sense of Hegel: "Two determinations found in all philosophy are the concretion of the Idea and the presence of the spirit in the same; my content must at the same time be something concrete, present. This concrete was termed Reason, and for it the more noble of those men contended with the greatest enthusiasm and warmth. Thought was raised like a standard among the nations, liberty of conviction and of conscience in me. They said to mankind, 'In this sign thou shalt conquer,' for they had before their eyes what had been done in the name of the cross alone, what had been made a matter of faith and law and religion– they saw how the sign of the cross had been degraded."
– Hegel, Lectures on the History of Philosophy ,
"For every kind of vampire, |
And from last October —
|
Friday, October 8, 2010
Starting Out in the Evening This post was suggested by last evening's post on mathematics and narrative and by Michiko Kakutani on Vargas Llosa in this morning's New York Times .
"One must proceed cautiously, for this road— of truth and falsehood in the realm of fiction— is riddled with traps and any enticing oasis is usually a mirage."
– "Is Fiction the Art of Lying?"* by Mario Vargas Llosa,
* The Web version's title has a misprint— |
Comments Off on True Grid (continued)
Thursday, July 1, 2010
Plato’s Code
John Allen Paulos yesterday at Twitter—
"Plato's code cracked? http://bit.ly/ad6k1S
Fascinating if not a hoax or hype."
The story that Paulos linked to is about a British
academic who claims to have found some
symbolism hidden in Plato's writings by
splitting each into 12 parts and correlating
the 12 parts with semitones of a musical scale.
I prefer a different approach to Plato that is
related to the following hoax and hype—
HOAX:
From Dan Brown's novel Angels & Demons (2000)—
HYPE:
This four-elements diamond summarizes the classical
four elements and four qualities neatly, but some scholars
might call the figure "hype" since it deals with an academically
disreputable subject, alchemy, and since its origin is unclear.
For the four elements' role in some literature more respectable
than Dan Brown's, see Poetry's Bones.
Although an author like Brown might spin the remarks
below into a narrative— The Plato Code — they are
neither hoax nor hype.
NOT HOAX:
NOT HYPE:
For related non-hoax, non-hype remarks, see
The Rational Enterprise: Logos in Plato's Theaetetus,
by Rosemary Desjardins.
Those who prefer hoax and hype in their philosophy may consult
the writings of, say, Barbara Johnson, Rosalind Krauss, and—
in yesterday's NY Times's "The Stone" column— Nancy Bauer.
— The New York Times
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Saturday, November 28, 2009
Annals of Intelligence:
Comments Off on Annals of Intelligence:
Tuesday, March 17, 2009
Tuesday March 17, 2009
Deep Structures
The Square of Oppositon
at Stanford Encylopedia of Philosophy
The Square of Opposition
in its original form
"The diagram above is from a ninth century manuscript of Apuleius' commentary on Aristotle's Perihermaneias, probably one of the oldest surviving pictures of the square."
— Edward Buckner at The Logic Museum
From the webpage "Semiotics for Beginners: Paradigmatic Analysis," by Daniel Chandler:
The Semiotic Square
"The structuralist semiotician Algirdas Greimas introduced the semiotic square (which he adapted from the 'logical square' of scholastic philosophy) as a means of analysing paired concepts more fully (Greimas 1987,* xiv, 49). The semiotic square is intended to map the logical conjunctions and disjunctions relating key semantic features in a text. Fredric Jameson notes that 'the entire mechanism… is capable of generating at least ten conceivable positions out of a rudimentary binary opposition' (in Greimas 1987,* xiv). Whilst this suggests that the possibilities for signification in a semiotic system are richer than the either/or of binary logic, but that [sic] they are nevertheless subject to 'semiotic constraints' – 'deep structures' providing basic axes of signification."
* Greimas, Algirdas (1987): On Meaning: Selected Writings in Semiotic Theory (trans. Paul J Perron & Frank H Collins). London: Frances Pinter
Another version of the semiotic square:
Krauss says that her figure "is, of course, a Klein Group."
Here is a more explicit figure representing the Klein group:
There is also the logical
diamond of opposition —
A semiotic (as opposed to logical)
diamond has been used to illustrate
remarks by Fredric Jameson,
a Marxist literary theorist:
|
"Introduction to Algirdas Greimas, Module on the Semiotic Square," by Dino Felluga at Purdue University–
The semiotic square has proven to be an influential concept not only in narrative theory but in the ideological criticism of Fredric Jameson, who uses the square as "a virtual map of conceptual closure, or better still, of the closure of ideology itself" ("Foreword"* xv). (For more on Jameson, see the [Purdue University] Jameson module on ideology.) Greimas' schema is useful since it illustrates the full complexity of any given semantic term (seme). Greimas points out that any given seme entails its opposite or "contrary." "Life" (s1) for example is understood in relation to its contrary, "death" (s2). Rather than rest at this simple binary opposition (S), however, Greimas points out that the opposition, "life" and "death," suggests what Greimas terms a contradictory pair (-S), i.e., "not-life" (-s1) and "not-death" (-s2). We would therefore be left with the following semiotic square (Fig. 1): 
As Jameson explains in the Foreword to Greimas' On Meaning, "-s1 and -s2"—which in this example are taken up by "not-death" and "not-life"—"are the simple negatives of the two dominant terms, but include far more than either: thus 'nonwhite' includes more than 'black,' 'nonmale' more than 'female'" (xiv); in our example, not-life would include more than merely death and not-death more than life.
* Jameson, Fredric. "Foreword." On Meaning: Selected Writings in Semiotic Theory. By Algirdas Greimas. Trans. Paul J. Perron and Frank H. Collins. Minneapolis: U of Minnesota P, 1976.
|
"The Game in the Ship cannot be approached as a job, a vocation, a career, or a recreation. To the contrary, it is Life and Death itself at work there. In the Inner Game, we call the Game Dhum Welur, the Mind of God."
— The Gameplayers of Zan, by M.A. Foster
"For every kind of vampire,
there is a kind of cross."
— Thomas Pynchon,
Gravity's Rainbow
Crosses used by semioticians
to baffle their opponents
are illustrated above.
Some other kinds of crosses,
and another kind of opponent:
|
Monday, July 11, 2005
Logos
for St. Benedict's Day Click on either of the logos below for religious meditations– on the left, a Jewish meditation from the Conference of Catholic Bishops; on the right, an Aryan meditation from Stormfront.org.
Both logos represent different embodiments of the "story theory" of truth, as opposed to the "diamond theory" of truth. Both logos claim, in their own ways, to represent the eternal Logos of the Christian religion. I personally prefer the "diamond theory" of truth, represented by the logo below.
See also the previous entry Sunday, July 10, 2005
Mathematics
and Narrative Click on the title for a narrative about
Nikolaos K. Artemiadis,
"First of all, I'd like to
— Remark attributed to Plato
|
||||||||
Comments Off on Tuesday March 17, 2009
Friday, February 20, 2009
Friday February 20, 2009
The Cross
of Constantine
mentioned in
this afternoon's entry
"Emblematizing the Modern"
was the object of a recent
cinematic chase sequence
(successful and inspiring)
starring Mira Sorvino
at the Metropolitan
Museum of Art.
In memory of
Dr. Hunter S. Thompson,
dead by his own hand
on this date
four years ago —
There is
another sort of object
we may associate with a
different museum and with
a modern Constantine …
See "Art Wars for MoMA"
(Dec. 14, 2008).
This object, modern
rather than medieval,
is the ninefold square:
It may suit those who,
like Rosalind Krauss
(see "Emblematizing"),
admire the grids of modern art
but view any sort of Christian
cross with fear and loathing.
For some background that
Dr. Thompson might appreciate,
see notes on Geometry and Death
in this journal, June 1-15, 2007,
and the five Log24 entries
ending at 9 AM Dec. 10. 2006,
which include this astute
observation by J. G. Ballard:
"Modernism's attempt to build a better world with the aid of science and technology now seems almost heroic. Bertolt Brecht, no fan of modernism, remarked that the mud, blood and carnage of the first world war trenches left its survivors longing for a future that resembled a white-tiled bathroom."
Selah.
Comments Off on Friday February 20, 2009
Friday February 20, 2009
Emblematizing
the Modern
the Modern
|
The following meditation was inspired by the recent fictional recovery, by Mira Sorvino in "The Last Templar," of a Greek Cross — "the Cross of Constantine"– and by the discovery, by art historian Rosalind Krauss, of a Greek Cross in the art of Ad Reinhardt. |
|
Note that in applications, the vertical axis of the Cross of Descartes often symbolizes the timeless (money, temperature, etc.) while the horizontal axis often symbolizes time. T.S. Eliot:
"Men’s curiosity searches past and future |
There is a reason, apart from her ethnic origins, that Rosalind Krauss (cf. 9/13/06) rejects, with a shudder, the cross as a key to "the Pandora's box of spiritual reference that is opened once one uses it." The rejection occurs in the context of her attempt to establish not the cross, but the grid, as a religious symbol:
|
"In suggesting that the success [1] of the grid
[1] Success here refers to
three things at once: a sheerly quantitative success, involving the number of artists in this century who have used grids; a qualitative success through which the grid has become the medium for some of the greatest works of modernism; and an ideological success, in that the grid is able– in a work of whatever quality– to emblematize the Modern." — Rosalind Krauss, "Grids" (1979) |
Related material:
Time Fold and Weyl on
objectivity and frames of reference.
See also Stambaugh on
The Formless Self
as well as
A Study in Art Education
and
Jung and the Imago Dei.
Comments Off on Friday February 20, 2009
Thursday, February 19, 2009
Thursday February 19, 2009
A Sunrise
for Sunrise
“If we open any tract– Plastic Art and Pure Plastic Art or The Non-Objective World, for instance– we will find that Mondrian and Malevich are not discussing canvas or pigment or graphite or any other form of matter. They are talking about Being or Mind or Spirit. From their point of view, the grid is a staircase to the Universal, and they are not interested in what happens below in the Concrete.”
Yesterday’s entry featured a rather simple-minded example from Krauss of how the ninefold square (said to be a symbol of Apollo)
may be used to create a graphic design– a Greek cross, which appears also in crossword puzzles:
Illustration by
Paul Rand
(born Peretz Rosenbaum)
A more sophisticated example
of the ninefold square
in graphic design:
“That old Jew
gave me this here.”
— A Flag for Sunrise
Comments Off on Thursday February 19, 2009
Sunday, November 26, 2006
Sunday November 26, 2006
Rosalind Krauss
in "Grids," 1979:
"If we open any tract– Plastic Art and Pure Plastic Art or The Non-Objective World, for instance– we will find that Mondrian and Malevich are not discussing canvas or pigment or graphite or any other form of matter. They are talking about Being or Mind or Spirit. From their point of view, the grid is a staircase to the Universal, and they are not interested in what happens below in the Concrete.
Or, to take a more up-to-date example…."
"He was looking at
the nine engravings
and at the circle,
checking strange
correspondences
between them."
— The Club Dumas,1993
"And it's whispered that soon
if we all call the tune
Then the piper will lead us
to reason."
— Robert Plant,1971
The nine engravings of
The Club Dumas
(filmed as "The Ninth Gate")
are perhaps more an example
of the concrete than of the
universal.
An example of the universal*–
or, according to Krauss, a
"staircase" to the universal–
is the ninefold square:
"This is the garden of Apollo,
the field of Reason…."
— John Outram, architect
For more on the field
of reason, see
Log24, Oct. 9, 2006.
A reasonable set of
"strange correspondences"
in the garden of Apollo
has been provided by Ezra Brown
in a mathematical essay (pdf).
Unreason is, of course,
more popular.
* The ninefold square is perhaps a "concrete universal" in the sense of Hegel:
"Two determinations found in all philosophy are the concretion of the Idea and the presence of the spirit in the same; my content must at the same time be something concrete, present. This concrete was termed Reason, and for it the more noble of those men contended with the greatest enthusiasm and warmth. Thought was raised like a standard among the nations, liberty of conviction and of conscience in me. They said to mankind, 'In this sign thou shalt conquer,' for they had before their eyes what had been done in the name of the cross alone, what had been made a matter of faith and law and religion– they saw how the sign of the cross had been degraded."
— Hegel, Lectures on the History of Philosophy, "Idea of a Concrete Universal Unity"
"For every kind of vampire,
there is a kind of cross."
— Thomas Pynchon
Comments Off on Sunday November 26, 2006
Saturday, September 16, 2006
Saturday September 16, 2006
Pandora's Box
Part I:
The Pandora Cross
"There is no painter in the West who can be unaware of the symbolic power of the cruciform shape and the Pandora's box of spiritual reference that is opened once one uses it."
— Rosalind Krauss in "Grids"
Part II:
The Opening
Remarks by the Pope on Sept. 12,
as reported by the Vatican:
Faith, Reason, and the University:
Memories and Reflections
For the result of
the Pope's remarks, see
a transcript of
yesterday's Google News
and the following
from BBC today:
Click to enlarge the screenshot.
Part III:
Hope
The New Yorker (issue of June 5, 2006) on the late Oriana Fallaci:
"In September [2005], she had a private audience with Pope Benedict XVI at Castel Gandolfo, his summer residence outside Rome. She had criticized John Paul II for making overtures to Muslims, and for not condemning terrorism heartily enough, but she has hopes for Joseph Ratzinger."
For further details, see yesterday's Log24.
Part IV:
The Sibyl's Song
— From The Magic Circle,
a spiritual narrative
by Katherine Neville
For more on "the long-mute voice
of the past," on "darkness beneath
the volcano," and on uncorking,
see Glory Season and Harrowing.
Related material from
Log24 on Dec. 2, 2005:
Benedict XVI, before he became Pope:
"… a purely harmonious concept of beauty is not enough…. Apollo, who for Plato's Socrates was 'the God' and the guarantor of unruffled beauty as 'the truly divine' is absolutely no longer sufficient."
and a related
Christian symbol,
the Greek Cross
(adapted from
Ad Reinhardt).
Moral of the Pandora Cross:
"Nine is a very powerful Nordic number."
— Katherine Neville in The Magic Circle…
quoted in The Nine, a Log24 entry
for Hermann Weyl's birthday,
November 9, 2004.
Comments Off on Saturday September 16, 2006
Friday, August 4, 2006
Friday August 4, 2006
ART WARS
continued from
previous entry
In memory of
Elisabeth Schwarzkopf:
"Who is the fairest of them all?"
This question might
well be posed by…
Rosalind Krauss,
Meyer Schapiro Professor
of Modern Art and Theory
at Columbia University
(Ph.D., Harvard U., 1969).
"The grid is a staircase to the Universal….
We could think about Ad Reinhardt, who,
despite his repeated insistence that
'Art is art,'
ended up by painting a series of…
nine-square grids in which the motif
that inescapably emerges is
a Greek cross.
Adapted from
Ad Reinhardt
There is no painter in the West
who can be unaware of
the symbolic power
of the cruciform shape and the
Pandora's box of spiritual reference
that is opened once one uses it."
— Rosalind Krauss in "Grids"
"Nine is a very powerful Nordic number."
— Katherine Neville, author of The Eight
Related material:
Comments Off on Friday August 4, 2006
Sunday, June 19, 2005
Sunday June 19, 2005
ART WARS:
Darkness Visible
Darkness Visible
"No light, but rather darkness visible
Serv'd only to discover sights of woe"
— John Milton, Paradise Lost,
Book I, lines 63-64
Serv'd only to discover sights of woe"
— John Milton, Paradise Lost,
Book I, lines 63-64
A famed vulgarizer, Martin Gardner,
summarizes the art of Ad Reinhardt
(Adolph Dietrich Friedrich Reinhardt,
Dec. 24, 1913 – Aug. 30, 1967):
summarizes the art of Ad Reinhardt
(Adolph Dietrich Friedrich Reinhardt,
Dec. 24, 1913 – Aug. 30, 1967):
"Ed Rinehart [sic] made a fortune painting canvases that were just one solid color. He had his black period in which the canvas was totally black. And then he had a blue period in which he was painting the canvas blue. He was exhibited in top shows in New York, and his pictures wound up in museums. I did a column in Scientific American on minimal art, and I reproduced one of Ed Rinehart's black paintings. Of course, it was just a solid square of pure black. The publisher insisted on getting permission from the gallery to reproduce it."
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Fade to Black "…that ineffable constellation of talents that makes the player of rank: a gift for conceiving abstract schematic possibilities; a sense of mathematical poetry in the light of which the infinite chaos of probability and permutation is crystallized under the pressure of intense concentration into geometric blossoms; the ruthless focus of force on the subtlest weakness of an opponent." — Trevanian, Shibumi "'Haven't there been splendidly elegant colors in Japan since ancient times?' 'Even black has various subtle shades,' Sosuke nodded." — Yasunari Kawabata, The Old Capital
An Ad Reinhardt painting
Ad Reinhardt,
The viewer may need to tilt "The grid is a staircase to the Universal…. We could think about Ad Reinhardt, who, despite his repeated insistence that 'Art is art,' ended up by painting a series of… nine-square grids in which the motif that inescapably emerges is a Greek cross.
Greek Cross There is no painter in the West who can be unaware of the symbolic power of the cruciform shape and the Pandora's box of spiritual reference that is opened once one uses it."
— Rosalind Krauss,
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In memory of
St. William Golding
(Sept. 19, 1911 – June 19, 1993)
Comments Off on Sunday June 19, 2005
Saturday, May 14, 2005
Saturday May 14, 2005
Art at Princeton
From Princeton University Press,
A. W. Mellon Lectures in the
Bollingen Series:
The Bollingen Cross
or “Gnostic wheel”
of Princeton U. Press
Paths to the Absolute:
Mondrian, Malevich, Kandinsky,
Pollock, Newman, Rothko, and Still
by John Golding
Cloth | 2000 | $65.00 | ISBN: 0-691-04896-7
240 pp. | 7 x 10 | 63 color plates 109 halftones
This may illuminate Krauss’s remarks on
Mondrian and Malevich at the
conclusion of the previous entry.
Comments Off on Saturday May 14, 2005
Wednesday, May 11, 2005
Wednesday May 11, 2005
Art History
Reuters – "Joe Grant, a legendary Disney artist who designed the Queen/Witch in 'Snow White and the Seven Dwarfs,' died of a heart attack while doing what he loved most, drawing, the Walt Disney Co. said Monday.
Grant, 96, died at his home in the Los Angeles suburb of Glendale last Friday while sitting at his drawing board."
"With a little effort, anything can be
shown to connect with anything else:
existence is infinitely cross-referenced."
shown to connect with anything else:
existence is infinitely cross-referenced."
— Opening sentence of
Martha Cooley's The Archivist
From Log24 last Friday,
a Greek cross:
Click on picture for details.
And from Sunday, May 1
(Orthodox Easter):
Columbia University's
Meyer Schapiro Professor
of Modern Art and Theory:
"There is no painter in the West
who can be unaware of
the symbolic power of
the cruciform shape1
and the Pandora's box
of spiritual reference2
that is opened
once one uses it."
Click on pictures for details.
Related material:
Nine is a Vine3.
Related material:
Nine is a Vine3.
1, 2, 3 Today's birthdays:
1 Natasha Richardson, born 11 May 1963,
Jedi wife and costar of Nell
2 Martha Quinn, born 11 May 1959,
MTV wit
3 Frances Fisher, born 11 May 1952,
dazzling redhead
Comments Off on Wednesday May 11, 2005
Sunday, May 1, 2005
Sunday May 1, 2005
Logos
Harvard's Barry Mazur on
one mathematical style:
"It’s the barest, most Beckett-like vocabulary
that incorporates the theory and nothing else."
Samuel Beckett, Quad (1981):
A Jungian on this six-line logo:
"They are the same six lines
that exist in the I Ching….
Now observe the square more closely:
four of the lines are of equal length,
the other two are longer….
For this reason symmetry
cannot be statically produced
and a dance results."
— Marie-Louise von Franz,
Number and Time (1970),
Northwestern U. Press
paperback, 1979, p. 108
A related logo from
Columbia University's
Department of Art History
and Archaeology:
Also from that department:
Meyer Schapiro Professor
of Modern Art and Theory:
"There is no painter in the West
who can be unaware of
the symbolic power
of the cruciform shape
and the Pandora's box
of spiritual reference
that is opened
once one uses it."
"In the garden of Adding
live Even and Odd…"
— The Midrash Jazz Quartet in
City of God, by E. L. Doctorow
THE GREEK CROSS
A cross in which all the arms
are the same length.
are the same length.
Here, for reference, is a Greek cross
within a nine-square grid:
Related religious meditation for
Doctorow's "Garden of Adding"…
Types of Greek cross
illustrated in Wikipedia
under "cross":
THE BAPTISMAL CROSS
is a cross with eight arms:
a Greek cross, which is superimposed
on a Greek 'chi,' the first letter
of the Greek word for 'Christ.'
Since the number eight is symbolic
of rebirth or regeneration,
this cross is often used
as a baptismal cross.
a Greek cross, which is superimposed
on a Greek 'chi,' the first letter
of the Greek word for 'Christ.'
Since the number eight is symbolic
of rebirth or regeneration,
this cross is often used
as a baptismal cross.
Related material:
Fritz Leiber's "spider"
or "double cross" logo.
See Why Me? and
A Shot at Redemption.
Happy Orthodox Easter.
Tuesday, November 9, 2004
Tuesday November 9, 2004
The Nine
(Readings for
Weyl’s birthday)
“The grid is a staircase to the Universal….
We could think about Ad Reinhardt, who,
despite his repeated insistence that
‘Art is art,’
ended up by painting a series of…
nine-square grids in which the motif
that inescapably emerges is
a Greek cross.
Greek Cross
There is no painter in the West
who can be unaware of
the symbolic power
of the cruciform shape and the
Pandora’s box of spiritual reference
that is opened once one uses it.”
— Rosalind Krauss,
Meyer Schapiro Professor
of Modern Art and Theory
at Columbia University
(Ph.D., Harvard U., 1969),
in “Grids”
“Nine is a very powerful Nordic number.”
— Katherine Neville, author of The Eight,
in The Magic Circle,
Ballantine paperback,
1999, p. 339
“To live is to defend a form.”
(“Leben, das heisst eine Form verteidigen“)
— attributed to Hölderlin
For details on the above picture,
which deals with properties of the
nine-square grid, see
For more on the defense
of this form,
see the Log24.net entry of
June 5, 2004, A Form,
and the Art Wars entries
for St. Peter’s Day, 2004.
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Tuesday, October 7, 2003
Tuesday October 7, 2003
ART WARS:
Judgment Day
“…Mondrian and Malevich are not discussing canvas or pigment or graphite or any other form of matter. They are talking about Being or Mind or Spirit. From their point of view, the grid is a staircase to the Universal….”
— Rosalind Krauss, “Grids”
Krauss is the Meyer Schapiro Professor of Modern Art and Theory at Columbia University.
For more on Meyer Schapiro, see the link on the phrase “art historian” in my March 10, 2003, entry.
To view that entry in a larger context, see the web page Art at the Vanishing Point, which includes a picture of Mondrian’s own Paris staircase. The picture below might be thought of as illustrating Krauss’s “grid is a staircase”… a staircase to, in fact, a vanishing point.
Frame not included in
Terminator 2: Judgment Day
For a different view of what the New York Times Book Review has characterized as “high culture,” see the link on that phrase also in my March 10, 2003, entry. This leads to a work by T. S. Eliot titled Christianity and Culture. See too the remarks of the Meyer Schapiro Professor in my Oct. 5, 2003, entry, “Art Theory for Yom Kippur,” in which she likens the Cross to Pandora’s box.
Eliot’s attitude toward this Jewish approach to high culture might be summarized by the following remarks of Sarah Connor in Terminator 2: Judgment Day—
Dr. Silberman: You broke my arm!
Sarah Connor: There are two-hundred-fifteen bones in the human body, [expletive deleted]. That’s one.
Comments Off on Tuesday October 7, 2003
Sunday, October 5, 2003
Sunday October 5, 2003
At Mount Sinai:
Art Theory for Yom Kippur
From the New York Times of Sunday, October 5, 2003 (the day that Yom Kippur begins at sunset):
“Rabbi Ephraim Oshry, whose interpretations of religious law helped sustain Lithuanian Jews during Nazi occupation…. died on Sept. 28 at Mount Sinai Hospital in Manhattan. He was 89.”
For a fictional portrait of Lithuanian Jews during Nazi occupation, see the E. L. Doctorow novel City of God.
For meditations on the spiritual in art, see the Rosalind Krauss essay “Grids.” As a memorial to Rabbi Oshry, here is a grid-based version of the Hebrew letter aleph:
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Click on the aleph for details.
“In the garden of Adding,
Live Even and Odd….”
— The Midrash Jazz Quartet in
City of God, by E. L. Doctorow
Here are two meditations
on Even and Odd for Yom Kippur:
Meditation I
From Rosalind Krauss, “Grids”:
“If we open any tract– Plastic Art and Pure Plastic Art or The Non-Objective World, for instance– we will find that Mondrian and Malevich are not discussing canvas or pigment or graphite or any other form of matter. They are talking about Being or Mind or Spirit. From their point of view, the grid is a staircase to the Universal, and they are not interested in what happens below in the Concrete.
Or, to take a more up-to-date example, we could think about Ad Reinhardt who, despite his repeated insistence that ‘Art is art,’ ended up by painting a series of black nine-square grids in which the motif that inescapably emerges is a Greek cross. There is no painter in the West who can be unaware of the symbolic power of the cruciform shape and the Pandora’s box of spiritual reference that is opened once one uses it.”
Meditation II
Here, for reference, is a Greek cross
within a nine-square grid:
Related religious meditation for
Doctorow’s “Garden of Adding”…
Comments Off on Sunday October 5, 2003