See as well 5×5, The Matrix of Abraham, and Deutsche Schule Montevideo .
“If you have built castles in the air,
your work need not be lost;
that is where they should be.
Now put the foundations under them.”
— Henry David Thoreau
See as well 5×5, The Matrix of Abraham, and Deutsche Schule Montevideo .
“If you have built castles in the air,
your work need not be lost;
that is where they should be.
Now put the foundations under them.”
— Henry David Thoreau
Mathematics and Narrative continues…
Steiner's version of "classical functional analysis"—
"Mein Führer… Steiner…"
* See the story by Kilgore Trout. See also On Linguistic Creation,
The Matrix of Abraham, and The Thoreau Foundation.
"A world of made
is not a world of born— pity poor flesh
and trees, poor stars and stones, but never this
fine specimen of hypermagical
ultraomnipotence."
— e. e. cummings, 1944
For one such specimen, see The Matrix of Abraham—
a 5×5 square that is hypermagical… indeed, diabolical.
Related material on the algebra and geometry underlying some smaller structures
that have also, unfortunately, become associated with the word "magic"—
" … listen: there's a hell
of a good universe next door; let's go"
— e. e. cummings
Happy birthday, e. e.
The Zen of Abraham
Today’s Zen Chautauqua, prompted by the fact that this is Abrahamic week at the real Chautauqua, consists of links to
Happy Birthday, Kate and Kevin.
The real Chautauqua’s program this week is, of course, Christian rather than Zen. Its theme is “Building a Global Neighborhood: The Abrahamic Vision 2004.” One of the featured performers is Loretta Lynn; in her honor (and, of course, that of Sissy Spacek), I will try to overcome the fear and loathing that the Semitic (i. e., “Abrahamic”) religions usually inspire in me.
To a mathematician, the phrase “global neighborhood” sounds like meaningless politico-religious bullshit — a phrase I am sure accurately characterizes most of the discourse at Chautauqua this week. But a Google search reveals an area of
This article includes the following:
Given the sophistication of his writing, I am surprised at Schlansker’s Christian background:
A good omen for the future is the fact that Schlansker balances the looney Semitic (or “Abrahamic”) teachings of Christianity with good sound Aryan religion, in the form of the goddess Themis.
Themis, often depicted as “Justice”
For those who must have an Abraham, Schlansker’s paper includes the following:
A Themis figure I prefer to the above:
For more on religious justice
at midnight in the garden of
good and evil, see the Log24
entries of Oct. 1-15, 2002.
For material on Aryan religion that is far superior to the damned nonsense at Chautauqua, New York, this week, see
Jane Ellen Harrison’s Themis: a Study of the Social Origins of Greek Religion, with an excursus on the ritual forms preserved in Greek tragedy by Gilbert Murray and a chapter on the origin of the Olympic games by F. M. Cornford. Rev. 2nd ed., Cambridge, Cambridge U.P., 1927.
Those who prefer the modern religion of Scientism will of course believe that Themis is purely imaginary, and that truth is to be found in modern myths like that of Carl Sagan’s novel Contact, illustrated below.
Jodie Foster (an admirer of
Leni Riefenstahl) and the
opening of the 1936 Olympics
“Heraclitus…. says: ‘The ruler whose prophecy occurs at Delphi oute legei oute kryptei, neither gathers nor hides, alla semainei, but gives hints.'”
— An Introduction to Metaphysics, by Martin Heidegger, Yale University Press paperback, 1959, p. 170
“The lord whose oracle is in Delphi neither indicates clearly nor conceals, but gives a sign.”
— Adolf Holl, The Left Hand of God, Doubleday, 1998, p. 50
Jew’s on First
This entry is dedicated to those worshippers of Allah who have at one time or another cried
“Itbah al-Yahud!” … Kill the Jew!
(See June 29 entries).
Dead at 78 Comedian Buddy Hackett died on Tuesday, July First, 2003, according to the New York Times. According to Bloomberg.com, he died Sunday or Monday. |
Associated Press
Buddy Hackett, |
Whatever. We may imagine he has now walked, leading a parade of many other stand-up saints, into a bar. |
|
MIDRASH From my May 25 entry, Matrix of the Death God: R. M. Abraham’s Diversions and Pastimes, published by Constable and Company, London, in 1933, has the following magic square: The Matrix of Abraham A summary of the religious import of the above from Princeton University Press: “Moslems of the Middle Ages were fascinated by pandiagonal squares with 1 in the center…. The Moslems thought of the central 1 as being symbolic of the unity of Allah. Indeed, they were so awed by that symbol that they often left blank the central cell on which the 1 should be positioned.” — Clifford A. Pickover, The Zen of Magic Squares, Circles, and Stars, Princeton U. Press, 2002, pp. 71-72 Other appearances of this religious icon on the Web include:
|
In the Picasso’s Birthday version, 22 of the 25 magic square cells are correlated with pictures on the “Class of ’91” cover of Rolling Stone magazine. Number 7 is Rod† Stewart. In accordance with the theological rhyme “Seven is heaven, eight is a gate,” our site music for today is “Forever Young,” a tune made famous by Stewart.
† Roderick, actually — the name of the hero in “Madwoman of Chaillot”
— ART WARS —
Mental Health Month, Day 25:
Matrix of the Death God
Having dealt yesterday with the Death Goddess Sarah, we turn today to the Death God Abraham. (See Jacques Derrida, The Gift of Death, University of Chicago Press, 1996.) For a lengthy list of pictures of this damned homicidal lunatic about to murder his son, see The Text This Week.
See, too, The Matrix of Abraham, illustrated below. This is taken from a book by R. M. Abraham, Diversions and Pastimes, published by Constable and Company, London, in 1933.
The Matrix of Abraham
A summary of the religious import of the above from Princeton University Press:
“Moslems of the Middle Ages were fascinated by pandiagonal squares with 1 in the center…. The Moslems thought of the central 1 as being symbolic of the unity of Allah. Indeed, they were so awed by that symbol that they often left blank the central cell on which the 1 should be positioned.”
— Clifford A. Pickover, The Zen of Magic Squares, Circles, and Stars, Princeton U. Press, 2002, pp. 71-72
Other appearances of this religious icon on the Web:
A less religious approach to the icon may be found on page 393 of R. D. Carmichael’s Introduction to the Theory of Groups of Finite Order (Ginn, Boston, 1937, reprinted by Dover, 1956).
This matrix did not originate with Abraham but, unlike Neo, I have not yet found its Architect.
"A blank underlies the trials of device."
"Designing with just a blank piece of paper is very quiet."
Related material —
An image posted at 12 AM ET December 25, 2014:
The image stands for the
phrase "five by five,"
meaning "loud and clear."
Other posts featuring the above 5×5 square with some added structure:
"A vast space that travels down to the bedrock
upon which the towers were built, the museum
winds its way deeper and deeper underground,
taking visitors on a journey to the very bottom."
— The Associated Press in
this evening's Washington Post
This suggests a review of a different sort of
bedrock:—
"If you have built castles in the air,
your work need not be lost;
that is where they should be.
Now put the foundations under them.”
— Henry David Thoreau
» more
This, together with this morning's post involving the squares 16 and 9,
suggests a review of Conceit at Harvard (October 25, 2006), which
contains the following figure involving the squares 16, 9, and 25—
"If you have built castles in the air,
your work need not be lost;
that is where they should be.
Now put the foundations under them.”
— Henry David Thoreau
Happy Birthday
to Kate Beckinsale
(star of Cold Comfort Farm)
and Kevin Spacey
(star of The Usual Suspects).
From a novel,
The Footprints of God,
published August 12, 2003 —
A tour guide describes
stations of the cross in Jerusalem:
"Ibrahim pointed down the cobbled street to a half circle of bricks set in the street. 'There is where Jesus began to carry the cross. Down the street is the Chapel of Flagellation, where the Roman soldiers whipped Jesus, set on him a crown of thorns, and said, "Hail, King of the Jews!" Then Pilate led him to the crowd and cried, "Ecce homo! Behold the man!" '
Ibrahim delivered this information with the excitement of a man reading bingo numbers in a nursing home."
In keeping with this spirit of religious fervor and with the spirit of Carl Jung, expositor of the religious significance of the mandala,
Behold —
The Mandala of Abraham
For the religious significance of this mandala,
see an entry of May 25, 2003:
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