Log24

Tuesday, April 12, 2016

Black Trinity

Filed under: General — m759 @ 8:12 pm

In memory of a producerBlack Trinity.

See also a phrase from an image* in today's earlier post
For Non -Charlatans:

"Let us make a small example. . . ."

* Page 149 of "Groups and Symmetries," by F. Oggier
& A. M. Bruckstein. "These notes were designed to fit
the syllabus of the course 'Groups and Symmetries',
taught at Nanyang Technological University in autumn
2012, and 2013."

Thursday, January 20, 2022

New-Age Trinity

Filed under: General — Tags: , , — m759 @ 10:21 pm

"Taken together, vibemood, and energy  formed
something like a loose philosophical system.
They presented the world as a swirl of forces
that eluded capture in rational thought, but that
could nevertheless be acutely sensed and even
influenced with the right kind of effort."

— Mitch Therieau in The Drift , Jan. 19, 2022 —

https://www.thedriftmag.com/vibe-mood-energy/ .

See as well Pacific Rimming and Black Sparrow.

Related cinematic lore:

Cailee Spaeny and The Drift in "Pacific Rim: Uprising," as well as . . .

Related tune:   "Gimme the Beat Boys."

________________________________________________________

Update of 4:16 PM ET Friday, Jan. 21, 2021 —

From https://dash.harvard.edu/
bitstream/handle/1/39988028/
GRIETZER-DISSERTATION-2017.pdf

Ambient Meaning: Mood, Vibe, System

A dissertation presented by Peli Grietzer
to The Department of Comparative Literature
in partial fulfillment of the requirements for
the degree of Doctor of Philosophy in
the subject of Comparative Literature,
Harvard University, Cambridge, Massachusetts,
November 2017 —

[Edited to emphasize key notions] 

"On the picture that I am suggesting, there exists a reciprocity  between

the structure of our sensibility or sensible cognition (system),

the structure of our affective life or social experience (mood),

and the structure of our social-material performance or production (style/vibe)

— a reciprocity whose approximate equilibrium or ‘metastable state’ binds
the
cognitive, affective, and material aspects of life into a coherent lifeworld
or ‘totality.’ One way to tell the story of this reciprocity is as follows. The system
of our sensibility—our faculty of sensuous cognition that discloses objects, properties,
and patterns—recapitulates the structure of the social-material world. We continuously
calibrate our sensibility by attuning it to our social-material world’s dominant patterns
and forms, adapting our powers of apperception to the task of navigating our
social-material world." (Pp. 145-146.)

Compare and contrast the following trinities:

Related tune — Meat Loaf at the Ryman"Two out of three ain't bad."

Tuesday, June 26, 2012

Bright Black

Filed under: General,Geometry — Tags: , — m759 @ 12:12 am

“‘In the dictionary next to [the] word “bright,” you should see Paula’s picture,’ he said. ‘She was super smart, with a sparkling wit. … She had a beautiful sense of style and color.'”

— Elinor J. Brecher in The Miami Herald  on June 8, quoting Palm Beach Post writer John Lantigua on the late art historian Paula Hays Harper

This  journal on the date of her death—

IMAGE- The Trinity of Max Black (a 3-set, with its eight subsets arranged in a Hasse diagram that is also a cube)

For some simpleminded commentary, see László Lovász on the cube space.

Some less simpleminded commentary—

Was ist Raum, wie können wir ihn
erfassen und gestalten?”

Walter Gropius,

The Theory and
Organization of the
Bauhaus
  (1923)

Wednesday, August 17, 2022

Cold Comfort Dam

Filed under: General — Tags: , — m759 @ 10:50 am

"And, as with all retold tales that are in people's hearts,
there are only good and bad things and black and white
things and good and evil things and no in-between anywhere."

— John Steinbeck, author's epigraph to The Pearl

From the Season 4 finale of Westworld :
uploading Dolores's pearl at Hoover Dam —

For those who prefer greater theological simplicity . . .

Optimus Prime on a different Hoover Dam figure, that of 
the AllSpark: "Before time began, there was the Cube."

Simplifying even more . . .

“A set having three members is a single thing
wholly constituted by its members but distinct from them.
After this, the theological doctrine of the Trinity as
‘three in one’ should be child’s play.”

– Max Black, Caveats and Critiques: Philosophical Essays
in Language, Logic, and Art
 , Cornell U. Press, 1975

IMAGE- The Trinity of Max Black (a 3-set, with its eight subsets arranged in a Hasse diagram that is also a cube)

As above, Black's theology forms a cube.

Tuesday, March 17, 2020

Geometric Theology

Filed under: General — Tags: — m759 @ 12:00 am

“Before time began” — Optimus Prime

IMAGE- The Trinity of Max Black (a 3-set, with its eight subsets arranged in a Hasse diagram that is also a cube)

See also posts tagged Aitchison.

 

Monday, September 1, 2014

Mathematics, Not Theology

Filed under: General — Tags: — m759 @ 5:00 pm

(Continued)

“A set having three members is a single thing
wholly constituted by its members but distinct from them.
After this, the theological doctrine of the Trinity as
‘three in one’ should be child’s play.”

— Max Black, Caveats and Critiques: Philosophical Essays
in Language, Logic, and Art
 , Cornell U. Press, 1975

IMAGE- The Trinity of Max Black (a 3-set, with its eight subsets arranged in a Hasse diagram that is also a cube)

“There is  such a thing as a three-set.”
— Saying adapted from a novel by Madeleine L’Engle

Tuesday, June 26, 2012

Looking Deeply

Filed under: General,Geometry — Tags: , , — m759 @ 3:48 pm

Last night's post on The Trinity of Max Black  and the use of
the term "eightfold" by the Mathematical Sciences Research Institute
at Berkeley suggest a review of an image from Sept. 22, 2011

IMAGE- Eightfold cube with detail of triskelion structure

The triskele  detail above echoes a Buddhist symbol found,
for instance, on the Internet in an ad for meditation supplies—

Related remarks

http://www.spencerart.ku.edu/about/dialogue/fdpt.shtml

Mary Dusenbury (Radcliffe '64)—

"… I think a textile, like any work of art, holds a tremendous amount of information— technical, material, historical, social, philosophical— but beyond that, many works of art are very beautiful and they speak to us on many layers— our intellect, our heart, our emotions. I've been going to museums since I was a very small child, thinking about what I saw, and going back to discover new things, to see pieces that spoke very deeply to me, to look at them again, and to find more and more meaning relevant to me in different ways and at different times of my life. …

… I think I would suggest to people that first of all they just look. Linger by pieces they find intriguing and beautiful, and look deeply. Then, if something interests them, we have tried to put a little information around the galleries to give a bit of history, a bit of context, for each piece. But the most important is just to look very deeply."

http://en.wikipedia.org/wiki/Nikaya_Buddhism

According to Robert Thurman, the term "Nikāya Buddhism" was coined by Professor Masatoshi Nagatomi of Harvard University, as a way to avoid the usage of the term Hinayana.[12] "Nikaya Buddhism" is thus an attempt to find a more neutral way of referring to Buddhists who follow one of the early Buddhist schools, and their practice.

12. The Emptiness That is Compassion:
An Essay on Buddhist Ethics, Robert A. F. Thurman, 1980
[Religious Traditions , Vol. 4 No. 2, Oct.-Nov. 1981, pp. 11-34]

http://dsal.uchicago.edu/cgi-bin/philologic/getobject.pl?c.2:1:6.pali

Nikāya [Sk. nikāya, ni+kāya]
collection ("body") assemblage, class, group

http://en.wiktionary.org/wiki/नि

Sanskrit etymology for नि (ni)

From Proto-Indo-European *ni …

Prefix

नि (ni)

  • down
  • back
  • in, into

http://www.rigpawiki.org/index.php?title=Kaya

Kaya (Skt. kāya སྐུ་, Tib. ku Wyl. sku ) —
the Sanskrit word kaya literally means ‘body’
but can also signify dimension, field or basis.

སྐུ། (Wyl. sku ) n. Pron.: ku

structure, existentiality, founding stratum ▷HVG KBEU

gestalt ▷HVG LD

Note that The Trinity of Max Black  is a picture of  a set
i.e., of an "assemblage, class, group."

Note also the reference above to the word "gestalt."

"Was ist Raum, wie können wir ihn
erfassen und gestalten?"

Walter Gropius

Sunday, June 3, 2012

Child’s Play

Filed under: General,Geometry — Tags: , , , — m759 @ 2:56 pm

(Continued)

“A set having three members is a single thing
wholly constituted by its members but distinct from them.
After this, the theological doctrine of the Trinity as
‘three in one’ should be child’s play.”

– Max Black, Caveats and Critiques: Philosophical Essays
in Language, Logic, and Art
, Cornell U. Press, 1975

IMAGE- The Trinity of Max Black (a 3-set, with its eight subsets arranged in a Hasse diagram that is also a cube)

Related material—

The Trinity Cube

IMAGE- The Trinity Cube (three interpenetrating planes that split the eightfold cube into its eight subcubes)

Saturday, June 2, 2012

High Society

Filed under: General — m759 @ 12:00 pm

In memory of Sir Andrew Huxley, OM, who died on May 30, 2012

C. P. Snow on G. H. Hardy at Trinity College, Cambridge

He played his games and indulged his eccentricities.
He was living in some of the best intellectual company
in the world— G. E. Moore, Whitehead, Bertrand Russell,
Trevelyan, the high Trinity society  which was shortly to
find its artistic complement in Bloomsbury. (Hardy himself
had links with Bloomsbury, both of personal friendship
and of sympathy.)

See also "Max Black" + Trinity  in this journal.

Saturday, February 25, 2012

The Rock

Filed under: General — Tags: — m759 @ 9:26 pm

(Continued. See previous post and Red and Gray in this journal.)

“Give faith a fighting chance.” —Country song

From a post of June 3, 2007—

Related illustration relevant to theology—

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

For some background, see Cube Trinity in this journal.

For greater depth, see Levering’s Scripture and Metaphysics:
Aquinas and the Renewal of Trinitarian Theology 
,
Blackwell, 2004, page 150.

Saturday, July 10, 2010

Child’s Play

Filed under: General — m759 @ 6:00 pm

Image-- 'Aion pais esti paizon....'

… twó flocks, twó folds—black, white; ' right, wrong; reckon but, reck but, mind
But thése two; wáre of a wórld where bút these ' twó tell, each off the óther….

— "Spelt from Sibyl's Leaves," by Gerard Manley Hopkins

http://www.log24.com/log/pix10A/100710-Nabokov-Black.GIF

Related material:

Max Black — "Beginners are taught that a set having three members is a single thing, wholly constituted by its members but distinct from them. After this, the theological doctrine of the Trinity as 'three in one' should be child's play." ("The Elusiveness of Sets," Review of Metaphysics, June 1971, p. 615– as quoted by Bill Vallicella)


 Edward Gibbon, Decline and Fall of the Roman Empire, Chapter XXI

Gibbon, discussing the theology of the Trinity, defines perichoresis as

“… the internal connection and spiritual penetration which indissolubly unites the divine persons59 ….

59 … The perichoresis  or ‘circumincessio,’ is perhaps the deepest and darkest corner of the whole theological abyss.”


 ”Whoever fights monsters should see to it that in the process he does not become a monster.  And when you look long into an abyss, the abyss also looks into you.”

– Friedrich Nietzsche, Beyond Good and Evil, section 146, translated by Walter Kaufmann


Sunday, May 3, 2009

Sunday May 3, 2009

Filed under: General,Geometry — m759 @ 7:59 am
Annals of
Sacred Geometry

(The phrase “sacred geometry”
is of course anathema to most
mathematicians, to whom
nothing is sacred.)

From “The Geometric
Art of John Michell
“:
John Michell rendition of  'Remember now thy Creator...'
From this morning’s
 New York Times:

John Michell, Counterculture Author Who Cherished Idiosyncrasy, Dies at 76

By DOUGLAS MARTIN 

Mr. Michell, a self-styled Merlin of the 1960s English counterculture, inspired disciples like the Rolling Stones with a deluge of writings….

Michell, who wrote on Glastonbury
(a site associated with King Arthur)
and on sacred geometry, seems to
have had a better education than
most sacred-geometry enthusiasts.
He is said to have studied at
Eton and at Trinity College,
Cambridge.

He is not to be
confused with an earlier
Trinity figure, mathematician
John Henry Michell,
who died at 76 on the third
day of February in 1940
.

Related material:

See the Log24 entry
from the date of death
 of the later Michell —

  April 24

and, in light of the later
Michell’s interest in
geometry and King Arthur,
 the Log24 remarks for
Easter Sunday this year
(April 12).

These remarks include the
following figure by
Sebastian Egner related,
if only through myth,
to Arthur’s round table —

Conway's mystic circle of 13

— and the classic Delmore Schwartz
poem “Starlight Like Intuition
Pierced the Twelve
.”

Which of the two John Michells
(each a Merlin figure of sorts)
would be more welcome in
Camelot is open to debate.

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

Saturday, July 26, 2008

Saturday July 26, 2008

Filed under: General — m759 @ 10:22 pm
For Jung’s Birthday:

The Revelation Game
Revisited

Lotteries
on Jung’s
birthday,
July 26,
2008
Pennsylvania
(No revelation)
New York
(Revelation)
Mid-day
(No belief)
No belief,
no revelation

625


6/25 —
Quine’s
birthday

Revelation
without belief

003

The
Trinity
Pretzel

Evening
(Belief)
Belief without
revelation

087

1987 —
Quine
publishes
Quiddities
Belief and
revelation

829

8/29 —
Hurricane
Katrina,
McCain’s
birthday

From Josephine Klein, Jacob’s Ladder: Essays on Experiences of the Ineffable in the Context of Contemporary Psychotherapy, London, Karnac Books, 2003–

Page 14 —
Gerard Manley Hopkins

Quiddity and haeccity were contentious topics in medieval discussions about the nature of reality, and the poet Gerard Manley Hopkins would have encountered these concepts during his Jesuit training. W. H. Gardner, who edited much of Hopkins’s work, writes that

in 1872, while studying medieval philosophy… Hopkins came across the writing of Duns Scotus, and in that subtle thinker’s Principles of Individuation and Theory of Knowledge he discovered what seemed to be a philosophical corroboration of his own private theory of inscape and instress. [Gardner, Gerard Manley Hopkins: Poems and Prose, Penguin, 1953, p. xxiii]

In this useful introduction to his selection of Hopkins’s work, Gardner writes that Hopkins was always looking for the law or principle that gave an object ‘its delicate and surprising uniqueness.’ This was for Hopkins ‘a fundamental beauty which is the active principle of all true being, the source of all true knowledge and delight.’ Clive Bell called it ‘significant form’; Hopkins called it ‘inscape’– ‘the rich and revealing oneness of the natural object’ (pp. xx-xxiv). In this chapter, I call it quiddity.”

Sunday, June 8, 2008

Sunday June 8, 2008

Filed under: General — Tags: — m759 @ 10:00 am
The Holy Trinity vs.
The New York Times

From the illustrator of
today's NY Times review of
The Drunkard's Walk

http://indexed.blogspot.com/

 

Thursday, February 15, 2007

Scary stories.
Jessica Hagy, card 675: The Holy Trinity

Posted by Jessica Hagy at 10:31 PM
39 comments Labels: faith, family

The book under review–
The Drunkard's Walk:
How Randomness Rules Our Lives
,
by the author of Euclid's Window
is, appropriately, published by
Random House:

Random House logo (color-reversed image)

Click image for
related material.

Sunday, May 25, 2008

Sunday May 25, 2008

Filed under: General,Geometry — Tags: , , , — m759 @ 9:00 am
 
Wechsler Cubes
"Confusion is nothing new."
— Song lyric, Cyndi Lauper
 
Part I:
Magister Ludi

Hermann Hesse's 1943 The Glass Bead Game (Picador paperback, Dec. 6, 2002, pp. 139-140)–

"For the present, the Master showed him a bulky memorandum, a proposal he had received from an organist– one of the innumerable proposals which the directorate of the Game regularly had to examine. Usually these were suggestions for the admission of new material to the Archives. One man, for example, had made a meticulous study of the history of the madrigal and discovered in the development of the style a curved that he had expressed both musically and mathematically, so that it could be included in the vocabulary of the Game. Another had examined the rhythmic structure of Julius Caesar's Latin and discovered the most striking congruences with the results of well-known studies of the intervals in Byzantine hymns. Or again some fanatic had once more unearthed some new cabala hidden in the musical notation of the fifteenth century. Then there were the tempestuous letters from abstruse experimenters who could arrive at the most astounding conclusions from, say, a comparison of the horoscopes of Goethe and Spinoza; such letters often included pretty and seemingly enlightening geometric drawings in several colors."

Part II:
A Bulky Memorandum

From Siri Hustvedt, author of Mysteries of the Rectangle: Essays on Painting (Princeton Architectural Press, 2005)– What I Loved: A Novel (Picador paperback, March 1, 2004, page 168)–

A description of the work of Bill Wechsler, a fictional artist:

"Bill worked long hours on a series of autonomous pieces about numbers. Like O's Journey, the works took place inside glass cubes, but these were twice as large– about two feet square. He drew his inspiration from sources as varied as the Cabbala, physics, baseball box scores, and stock market reports. He painted, cut, sculpted, distorted, and broke the numerical signs in each work until they became unrecognizable. He included figures, objects, books, windows, and always the written word for the number. It was rambunctious art, thick with allusion– to voids, blanks, holes, to monotheism and the individual, the the dialectic and yin-yang, to the Trinity, the three fates, and three wishes, to the golden rectangle, to seven heavens, the seven lower orders of the sephiroth, the nine Muses, the nine circles of Hell, the nine worlds of Norse mythology, but also to popular references like A Better Marriage in Five Easy Lessons and Thinner Thighs in Seven Days. Twelve-step programs were referred to in both cube one and cube two. A miniature copy of a book called The Six Mistakes Parents Make Most Often lay at the bottom of cube six. Puns appeared, usually well disguised– one, won; two, too, and Tuesday; four, for, forth; ate, eight. Bill was partial to rhymes as well, both in images and words. In cube nine, the geometric figure for a line had been painted on one glass wall. In cube three, a tiny man wearing the black-and-white prison garb of cartoons and dragging a leg iron has

— End of page 168 —

opened the door to his cell. The hidden rhyme is "free." Looking closely through the walls of the cube, one can see the parallel rhyme in another language: the German word drei is scratched into one glass wall. Lying at the bottom of the same box is a tiny black-and-white photograph cut from a book that shows the entrance to Auschwitz: ARBEIT MACHT FREI. With every number, the arbitrary dance of associations worked togethere to create a tiny mental landscape that ranged in tone from wish-fulfillment dream to nightmare. Although dense, the effect of the cubes wasn't visually disorienting. Each object, painting, drawing, bit of text, or sculpted figure found its rightful place under the glass according to the necessary, if mad, logic of numerical, pictorial, and verbal connection– and the colors of each were startling. Every number had been given a thematic hue. Bill had been interested in Goethe's color wheel and in Alfred Jensen's use of it in his thick, hallucinatory paintings of numbers. He had assigned each number a color. Like Goethe, he included black and white, although he didn't bother with the poet's meanings. Zero and one were white. Two was blue. Three was red, four was yellow, and he mixed colors: pale blue for five, purples in six, oranges in seven, greens in eight, and blacks and grays in nine. Although other colors and omnipresent newsprint always intruded on the basic scheme, the myriad shades of a single color dominated each cube.

The number pieces were the work of a man at the top of his form. An organic extension of everything Bill had done before, these knots of symbols had an explosive effect. The longer I looked at them, the more the miniature constructions seemed on the brink of bursting from internal pressure. They were tightly orchestrated semantic bombs through which Bill laid bare the arbitrary roots of meaning itself– that peculiar social contract generated by little squiggles, dashes, lines, and loops on a page."

Part III:
Wechsler Cubes
(named not for
Bill Wechsler, the
fictional artist above,
but for the non-fictional
David Wechsler) –

 

From 2002:

 

Above: Dr. Harrison Pope, Harvard professor of psychiatry, demonstrates the use of the Wechsler Adult Intelligence Scale "block design" subtest.

 
Part IV:
A Magic Gallery
Log24, March 4, 2004
 

ZZ
WW

Figures from the
Kaleidoscope Puzzle
of Steven H. Cullinane:


Poem by Eugen Jost:
Zahlen und Zeichen,
Wörter und Worte

Mit Zeichen und Zahlen
vermessen wir Himmel und Erde
schwarz
auf weiss
schaffen wir neue Welten
oder gar Universen

 Numbers and Names,
Wording and Words

With numbers and names
we measure heaven and earth
black
on white
we create new worlds
and universes

English translation
by Catherine Schelbert

A related poem:

Alphabets
by Hermann Hesse

From time to time
we take our pen in hand
and scribble symbols
on a blank white sheet
Their meaning is
at everyone's command;
it is a game whose rules
are nice and neat.

But if a savage
or a moon-man came
and found a page,
a furrowed runic field,
and curiously studied
lines and frame:
How strange would be
the world that they revealed.
a magic gallery of oddities.
He would see A and B
as man and beast,
as moving tongues or
arms or legs or eyes,
now slow, now rushing,
all constraint released,
like prints of ravens'
feet upon the snow.
He'd hop about with them,
fly to and fro,
and see a thousand worlds
of might-have-been
hidden within the black
and frozen symbols,
beneath the ornate strokes,
the thick and thin.
He'd see the way love burns
and anguish trembles,
He'd wonder, laugh,
shake with fear and weep
because beyond this cipher's
cross-barred keep
he'd see the world
in all its aimless passion,
diminished, dwarfed, and
spellbound in the symbols,
and rigorously marching
prisoner-fashion.
He'd think: each sign
all others so resembles
that love of life and death,
or lust and anguish,
are simply twins whom
no one can distinguish…
until at last the savage
with a sound
of mortal terror
lights and stirs a fire,
chants and beats his brow
against the ground
and consecrates the writing
to his pyre.
Perhaps before his
consciousness is drowned
in slumber there will come
to him some sense
of how this world
of magic fraudulence,
this horror utterly
behind endurance,
has vanished as if
it had never been.
He'll sigh, and smile,
and feel all right again.

— Hermann Hesse (1943),
"Buchstaben," from
Das Glasperlenspiel,
translated by
Richard and Clara Winston

Thursday, May 8, 2008

Thursday May 8, 2008

Filed under: General — m759 @ 4:48 pm
Synchronicity,
Part Deux

Footprints at Log24 on the afternoon of May 8, 2008, including two from France

From
“On the Holy Trinity,”
the entry in the 3:20 PM
French footprint:

“…while the scientist sees
everything that happens
in one point of space,
the poet feels
everything that happens
in one point of time…
all forming an
instantaneous and transparent
organism of events….”

Vladimir Nabokov

From
“Angel in the Details,”
 the entry in the 3:59 PM
French footprint:

“I dwell in Possibility –
A fairer House than Prose”

Emily Dickinson

These, along with this afternoon’s
earlier entry, suggest a review
of a third Log24 item, Windmills,
with an actress from France as…

Changing Woman:

“Kaleidoscope turning…

Juliette Binoche in 'Blue'  The 24 2x2 Cullinane Kaleidoscope animated images

Shifting pattern
within unalterable structure…”
— Roger Zelazny, Eye of Cat  

“When life itself seems lunatic,
who knows where madness lies?”

— For the source, see 
Joyce’s Nightmare Continues.

Sunday, April 13, 2008

Sunday April 13, 2008

Filed under: General,Geometry — Tags: , , — m759 @ 7:59 am
The Echo
in Plato’s Cave

“It is said that the students of medieval Paris came to blows in the streets over the question of universals. The stakes are high, for at issue is our whole conception of our ability to describe the world truly or falsely, and the objectivity of any opinions we frame to ourselves. It is arguable that this is always the deepest, most profound problem of philosophy.”

— Simon Blackburn, Think (Oxford, 1999)

Michael Harris, mathematician at the University of Paris:

“… three ‘parts’ of tragedy identified by Aristotle that transpose to fiction of all types– plot (mythos), character (ethos), and ‘thought’ (dianoia)….”

— paper (pdf) to appear in Mathematics and Narrative, A. Doxiadis and B. Mazur, eds.

Mythos —

A visitor from France this morning viewed the entry of Jan. 23, 2006: “In Defense of Hilbert (On His Birthday).” That entry concerns a remark of Michael Harris.

A check of Harris’s website reveals a new article:

“Do Androids Prove Theorems in Their Sleep?” (slighly longer version of article to appear in Mathematics and Narrative, A. Doxiadis and B. Mazur, eds.) (pdf).

From that article:

“The word ‘key’ functions here to structure the reading of the article, to draw the reader’s attention initially to the element of the proof the author considers most important. Compare E.M. Forster in Aspects of the Novel:

[plot is] something which is measured not be minutes or hours, but by intensity, so that when we look at our past it does not stretch back evenly but piles up into a few notable pinnacles.”

Ethos —

“Forster took pains to widen and deepen the enigmatic character of his novel, to make it a puzzle insoluble within its own terms, or without. Early drafts of A Passage to India reveal a number of false starts. Forster repeatedly revised drafts of chapters thirteen through sixteen, which comprise the crux of the novel, the visit to the Marabar Caves. When he began writing the novel, his intention was to make the cave scene central and significant, but he did not yet know how:

When I began a A Passage to India, I knew something important happened in the Malabar (sic) Caves, and that it would have a central place in the novel– but I didn’t know what it would be… The Malabar Caves represented an area in which concentration can take place. They were to engender an event like an egg.”

E. M. Forster: A Passage to India, by Betty Jay

Dianoia —

Flagrant Triviality
or Resplendent Trinity?

“Despite the flagrant triviality of the proof… this result is the key point in the paper.”

— Michael Harris, op. cit., quoting a mathematical paper

Online Etymology Dictionary
:

flagrant
c.1500, “resplendent,” from L. flagrantem (nom. flagrans) “burning,” prp. of flagrare “to burn,” from L. root *flag-, corresponding to PIE *bhleg (cf. Gk. phlegein “to burn, scorch,” O.E. blæc “black”). Sense of “glaringly offensive” first recorded 1706, probably from common legalese phrase in flagrante delicto “red-handed,” lit. “with the crime still blazing.”

A related use of “resplendent”– applied to a Trinity, not a triviality– appears in the Liturgy of Malabar:

http://www.log24.com/log/pix08/080413-LiturgyOfMalabar.jpg

The Liturgies of SS. Mark, James, Clement, Chrysostom, and Basil, and the Church of Malabar, by the Rev. J.M. Neale and the Rev. R.F. Littledale, reprinted by Gorgias Press, 2002

On Universals and
A Passage to India:

 

“”The universe, then, is less intimation than cipher: a mask rather than a revelation in the romantic sense. Does love meet with love? Do we receive but what we give? The answer is surely a paradox, the paradox that there are Platonic universals beyond, but that the glass is too dark to see them. Is there a light beyond the glass, or is it a mirror only to the self? The Platonic cave is even darker than Plato made it, for it introduces the echo, and so leaves us back in the world of men, which does not carry total meaning, is just a story of events.”

 

— Betty Jay,  op. cit.

 

http://www.log24.com/log/pix08/080413-Marabar.jpg

Judy Davis in the Marabar Caves

In mathematics
(as opposed to narrative),
somewhere between
a flagrant triviality and
a resplendent Trinity we
have what might be called
“a resplendent triviality.”

For further details, see
A Four-Color Theorem.”

Thursday, October 11, 2007

Thursday October 11, 2007

Filed under: General — Tags: — m759 @ 12:00 pm
The Nobel Prize
in Literature

this year goes to the author
of The Golden Notebook
and The Cleft.

Related material:
The Golden Obituary
and Cleavage —
Log24, Oct. 9, 2007

Art History, 1955: Scenes from Bad Day at Black Rock

Background from 1947:

The image “http://www.log24.com/log/pix07A/071011-Cleavage.jpg” cannot be displayed, because it contains errors.

Further details:

WheelThe image “http://www.log24.com/log/images/asterisk8.gif” cannot be displayed, because it contains errors.

Quoted by physics writer
Heinz Pagels at the end of
The Cosmic Code
:

“For the essence and the end
Of his labor is beauty… one beauty,
the rhythm of that Wheel….”

— Robinson Jeffers

From Holy Saturday, 2004:

The Ferris wheel came into view again, just the top, silently burning high on the hill, almost directly in front of him, then the trees rose up over it.  The road, which was terrible and full of potholes, went steeply downhill here; he was approaching the little bridge over the barranca, the deep ravine.  Halfway across the bridge he stopped; he lit a new cigarette from the one he’d been smoking, and leaned over the parapet, looking down.  It was too dark to see the bottom, but: here was finality indeed, and cleavage!  Quauhnahuac was like the times in this respect, wherever you turned the abyss was waiting for you round the corner. Dormitory for vultures and city of Moloch! When Christ was being crucified, so ran the sea-borne, hieratic legend, the earth had opened all through this country…”

— Malcolm Lowry, Under the Volcano, 1947. (Harper & Row reissue, 1984, p. 15)

Comment by Stephen Spender:

“There is a suggestion of Christ descending into the abyss for the harrowing of Hell.  But it is the Consul whom we think of here, rather than of Christ.  The Consul is hurled into this abyss at the end of the novel.”

— Introduction to Under the Volcano


 Edward Gibbon, Decline and Fall of the Roman Empire, Chapter XXI

Gibbon, discussing the theology of the Trinity, defines perichoresis as

“… the internal connection and spiritual penetration which indissolubly unites the divine persons59 ….

59 … The perichoresis  or ‘circumincessio,’ is perhaps the deepest and darkest corner of the whole theological abyss.”


 “Whoever fights monsters should see to it that in the process he does not become a monster.  And when you look long into an abyss, the abyss also looks into you.”

— Friedrich Nietzsche, Beyond Good and Evil, section 146, translated by Walter Kaufmann


William Golding:

 “Simon’s head was tilted slightly up.  His eyes could not break away and the Lord of the Flies hung in space before him. 

‘What are you doing out here all alone?  Aren’t you afraid of me?’

Simon shook.

‘There isn’t anyone to help you.  Only me.  And I’m the Beast.’

Simon’s mouth labored, brought forth audible words.

‘Pig’s head on a stick.’

‘Fancy thinking the Beast was something you could hunt and kill!’ said the head.  For a moment or two the forest and all the other dimly appreciated places echoed with the parody of laughter.  ‘You knew, didn’t you?  I’m part of you?  Close, close, close!’ “


“Thought of the day:
You can catch more flies with honey than vinegar… if you’re into catchin’ flies.”

Alice Woodrome, Good Friday, 2004

Anne Francis,
also known as
Honey West:

“Here was finality indeed,
and cleavage!”

Under the Volcano

The image “http://www.log24.com/log/images/asterisk8.gif” cannot be displayed, because it contains errors. For further details of
the wheel metaphor, see

Rock of Ages

(St. Cecilia’s Day, 2006).

Wednesday, October 3, 2007

Wednesday October 3, 2007

Filed under: General,Geometry — Tags: — m759 @ 3:09 pm
Janitor Monitor

 

The image “http://www.log24.com/log/pix07A/070803-Trees.jpg” cannot be displayed, because it contains errors.

Will Hunting may be
interested in the following
vacant editorships at
The Open Directory:

Graph Theory
and
Combinatorics.

Related material:

The Long Hello and
On the Holy Trinity

"Hey, Carrie-Anne, what's
your game now….?
"

The image “http://www.log24.com/log/pix07A/071003-Magdalene.GIF” cannot be displayed, because it contains errors.

Picture sources:
azstarnet.com,
vibrationdata.com.

Personally, I prefer
Carol Ann:

From Criticism,  Fall, 2001,
by Carol Ann Johnston

"Drawing upon Platonic thought, Augustine argues that ideas are actually God's objective pattern and as such exist in God's mind. These ideas appear in the mirror of the soul. (35)."

(35.) In Augustine, De Trinitate, trans., Stephen McKenna (Washington, D.C.: Catholic University Press, 1970). See A. B. Acton, "Idealism," in The Encyclopedia of Philosophy, ed., Paul Edwards. Vol. 4 (New York: Macmillan, 1967): 110-118; Robert McRae, "`Idea' as a Philosophical Term in the Seventeenth Century," JHI 26 (1965): 175-190, and Erwin Panofsky, Idea: A Concept in Art History, trans., Joseph J. S. Peake (Columbia, S.C.: University of South Carolina Press, 1968) for explications of this term.

 

See also
Art Wars: Geometry as Conceptual Art
and Ideas and Art: Notes on Iconology.

 

For more on Augustine and geometry,
see Today's Sinner (Aug. 28, 2006).

 

 

Tuesday, February 27, 2007

Tuesday February 27, 2007

Filed under: General,Geometry — m759 @ 9:25 pm
Suggested by today’s 
New York Times story
on a Harvard student’s
research on pattern in
Islamic art —

and in memory of
George Sadek

From Log24 in July 2005:

Intersections

A Trinity Sunday sermon
quotes T. S. Eliot:

“… to apprehend
The point of intersection of the timeless
With time, is an occupation for the saint.”

See also The Diamond Project.

Related material:

                                  ” … an alphabet
By which to spell out holy doom and end,
A bee for the remembering of happiness.”

— Wallace Stevens,
“The Owl in the Sarcophagus”

The image “http://www.log24.com/theory/images/HeathI47A-Illustrations.jpg” cannot be displayed, because it contains errors.

Some context for these figures:
The Diamond Theory of Truth

Saturday, December 23, 2006

Saturday December 23, 2006

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

Bernard Holland in The New York Times on Monday, May 20, 1996:

“Philosophers ponder the idea of identity: what it is to give something a name on Monday and have it respond to that name on Friday….”

Log24 on Monday,
Dec. 18, 2006:

“I did a column in
Scientific American
on minimal art, and
I reproduced one of
Ed Rinehart’s [sic]
black paintings.”

Martin Gardner (pdf)

“… the entire profession
has received a very public
and very bad black mark.”

Joan S. Birman (pdf)

Lottery on Friday,
Dec. 22, 2006:

The image “http://www.log24.com/log/pix06B/061222-PAlottery.jpg” cannot be displayed, because it contains errors.

5/04
, 2005:

Analysis of the structure
of a 2x2x2 cube

The Eightfold Cube

via trinities of
projective points
in a Fano plane.

7/15, 2005:

“Art history was very personal
through the eyes of Ad Reinhardt.”

  — Robert Morris,
Smithsonian Archives
of American Art

Also on 7/15, 2005,
a quotation on Usenet:

“A set having three members is a
single thing wholly constituted by
its members but distinct from them.
After this, the theological doctrine
of the Trinity as ‘three in one’
should be child’s play.”

— Max Black,
Caveats and Critiques:
Philosophical Essays in
Language, Logic, and Art

Thursday, September 28, 2006

Thursday September 28, 2006

Filed under: General,Geometry — Tags: , — m759 @ 9:15 am
A Table

From the diary
of John Baez:

September 22, 2006

… Meanwhile, the mystics beckon:

Out beyond ideas of wrongdoing and rightdoing, there is a field. I’ll meet you there. – Rumi

September 23, 2006

I’m going up to San Rafael (near the Bay in Northern California) to visit my college pal Bruce Smith and his family. I’ll be back on Wednesday the 27th, just in time to start teaching the next day.

A check on the Rumi quote yields
this, on a culinary organization:

“Out beyond rightdoing and wrongdoing there is a field.  I’ll meet you there.”

This is the starting place of good spirit for relationship healing and building prescribed centuries ago in the Middle East by Muslim Sufi teacher and mystic, Jelaluddin Rumi (1207-1273).

Even earlier, the Psalmists knew such a meeting place of adversaries was needed, sacred and blessed:

“Thou preparest a table before me in the presence of mine enemies….” (23rd Psalm)

A Field and a Table:

The image “http://www.log24.com/theory/GF8-Table.gif” cannot be displayed, because it contains errors.

From “Communications Toolbox”
at MathWorks.com

For more on this field
in a different context, see
Generating the Octad Generator
and
“Putting Descartes Before Dehors”
in my own diary for December 2003.

The image “http://www.log24.com/log/pix06A/060928-Descartes.jpg” cannot be displayed, because it contains errors.
Descartes



Après l’Office à l’Église
de la Sainte-Trinité, Noël 1890

(After the Service at Holy Trinity Church,
Christmas 1890), Jean Béraud

Let us pray to the Holy Trinity that
San Rafael guides the teaching of John Baez
this year.  For related material on theology
and the presence of enemies, see Log24 on
  the (former) Feast of San Rafael, 2003.

Monday, August 14, 2006

Monday August 14, 2006

Filed under: General — Tags: — m759 @ 3:17 am
Cleavage Term

“… a point of common understanding between the classic and romantic worlds. Quality, the cleavage term between hip and square, seemed to be it. Both worlds used the term. Both knew what it was. It was just that the romantic left it alone and appreciated it for what it was and the classic tried to turn it into a set of intellectual building blocks for other purposes.”

For such building blocks, see

A Trinity for Rebecca

(4/25/06)

and yesterday’s lottery
in Pennsylvania:
mid-day 713, evening 526.
These numbers prompt the
following meditation
on the square and the hip:

In memory of
Kermit Hall,
college president,
who died Sunday,
August 13, 2006:

Square
7/13:
Carpe Diem

The image “http://www.log24.com/log/pix06A/060814-WenzhouHall.jpg” cannot be displayed, because it contains errors.
President Hall
(SUNY Albany)
meets with
Wenzhou University*
delegation, 4/25/06.

In memory of
Duke Jordan,
jazz pianist,
who died Tuesday,
August 8, 2006:

Hip
5/26:
A Living Church

The image “http://www.log24.com/log/pix06A/060814-52ndSt.jpg” cannot be displayed, because it contains errors.
Jazz clubs
on 52nd Street
on a summer night
in 1948, pictured in
Log24 on 4/25/06.

  Square and hip may each have a place
in heaven; for a less pleasant destination,
see the previous entry.
__________________________________

* Update of 3 PM 8/14/06:

See Forrest Gump on God
in an Aug. 11 entry and
the related paper

Renegotiating Chinese Identity:
Between Local Group
and National Ideology,

by Kristen Parris:

Center and Locality in China

The Roots of Group Identity in Wenzhou

Wenzhou as a Negative Identity

The Wenzhou Model as a Positive Identity

The New Wenzhou Narrative

Wenzhou Identity and Emergent Class Interests

Conclusion: Local Group Identity and National Transformation.

The paper is found in
The Power of Identity:
Politics in a New Key
,
by Kenneth Hoover et al.,
Chatham House, 1997.

Related material
may be found
by a search on
“the Wenzhou model.”

Wednesday, August 24, 2005

Wednesday August 24, 2005

Filed under: General — m759 @ 12:00 am

High Concept, continued:

“In the beginning there was nothing.
 And God said, ‘Let there be light!’
 And there was still nothing,
 but now you could see it.

— Jim Holt, Big-Bang Theology,
    Slate‘s “High Concept” department

Related material:

  1. On the phrase “verbum mentis”
  2. From Satan’s Rhetoric, by Armando Maggi
    (University of Chicago Press, 2001):
Page 110:

“In chapter I I explained that devils first and foremost exist as semioticians of the world’s signs.  Devils solely live in their interpretations, in their destructive syllogisms.  As Visconti puts it, devils speak the idiom of the mind.37  …. The exorcist’s healing voice states that Satan has always been absent from the world, that his disturbing and unclear manifestations in the possessed person’s physicality are really nonexistent occurrences, nothing but disturbances of the mind, since evil itself is a lack of being.”   

Footnote 37, page 110:

“It is necessary to distinguish the devils’ ‘language of the mind’ and Augustine’s verbum mentis (word of the mind), as he theorizes it first of all in On the Trinity (book 15).  The devils’ language of the mind disturbs the subject’s internal and preverbal discourse.”

Sunday, July 3, 2005

Sunday July 3, 2005

Filed under: General — m759 @ 2:28 pm

Intersections

1. Blue Ridge meets Black Mountain,

2. Vertical meets horizontal in music,

3. The timeless meets time in religion.

Details:

1. Blue Ridge, Black Mountain

Montreat College is located in the beautiful Blue Ridge Mountains of Western North Carolina…. The Black Mountain Campus is… three miles from the main campus in the historic town of Black Mountain.”

Black Mountain College was “established on the Blue Ridge Assembly grounds outside the town of Black Mountain in North Carolina in the fall of 1933.”

USA Today, May 15, 2005, on Billy Graham
:

“MONTREAT, N.C. — … It’s here at his… homestead, where the Blue Ridge meets the Black Mountain range east of Asheville, that Graham gave a rare personal interview.”

See also the following from June 24:


The image “http://www.log24.com/log/pix05A/050624-Cross.jpg” cannot be displayed, because it contains errors.

“No bridge reaches God, except one…
God’s Bridge: The Cross.”

— Billy Graham Evangelistic Association,
according to messiahpage.com

For some remarks more in the spirit of Black Mountain than of the Blue Ridge, see today’s earlier entry on pianist Grete Sultan and composer Tui St. George Tucker.

2. Vertical, Horizontal in Music

Richard Neuhaus on George Steiner’s
Grammars of Creation
:

 “… the facts of the world are not and will never be ‘the end of the matter.’ Music joins grammar in pointing to the possibility, the reality, of more. He thinks Schopenhauer was on to something when he said music will continue after the world ends.

‘The capacity of music to operate simultaneously along horizontal and vertical axes, to proceed simultaneously in opposite directions (as in inverse canons), may well constitute the nearest that men and women can come to absolute freedom.  Music does “keep time” for itself and for us.'”

3. Timeless, Time

A Trinity Sunday sermon quotes T. S. Eliot:

“… to apprehend
The point of intersection of the timeless
With time, is an occupation for the saint.”

See also The Diamond Project.

Update of July 8, 2005, 3 AM:

A Bridge for Private Ryan

The image “http://www.log24.com/log/pix05A/050708-RyansBridge.jpg” cannot be displayed, because it contains errors.

In memory of actor
Harrison Richard Young, 75,
who died on Sunday, July 3, 2005

Friday, December 10, 2004

Friday December 10, 2004

Filed under: General — m759 @ 2:14 pm
Review

“Philosophers ponder the idea of identity:
what it is to give something a name
on Monday and have it respond
to that name on Friday….”

— Bernard Holland
in the New York Times
of Monday, May 20, 1996

Log24.net on Monday:

Zen and the Trinity

(See entries of
December 6, 2002.)

Zen:
The time is now
3:00:00 PM.

The Trinity:
Three illustrations will suffice.”

New York Times on Friday:

 The image “http://www.log24.com/log/pix04B/041210-Illustrations.jpg” cannot be displayed, because it contains errors.

Friday, November 19, 2004

Friday November 19, 2004

Filed under: General — Tags: — m759 @ 11:30 am

Goin' to Carolina
in My Mind

From today's New York Times:

"Bobby Frank Cherry, the former Klansman whose conviction two years ago for the church bombing that killed four black girls in Birmingham, Ala., in 1963 resolved one of the most shocking cases of the civil rights era, died yesterday at the Kilby Correctional Facility near Montgomery, Ala., a prison spokesman said. He was 74."

From

The Footprints of God

(Log24.net, July 31, 2004):

"If Trinity is everything you say it is," she said, "then why in God's name would it be based in North Carolina?"

This I hadn't expected.  "Aren't you the top Jungian analyst in the world?"

"Well… one of them."

"Why are you based in North Carolina?"


From

The Fiery Cross —
A Call to Arms
:

"The western portions of Virginia and the Carolinas, the northern portions of Georgia and Alabama, and most of Tennessee, were settled by the hardy race of Scotch-Irish, in whose veins the Scotch blood was warm."

From the LA Times story
cited in yesterday's entry:

"Born in Charlotte, N.C., Graham grew up in a family of Scottish Presbyterians…. Since 1950,  [he has] lived in an Appalachian log home… near Asheville, N.C."

The image “http://www.log24.com/log/pix04B/041119-Graham72.jpg” cannot be displayed, because it contains errors. The image “http://www.log24.com/log/pix04B/041119-MethFlag.gif” cannot be displayed, because it contains errors.
Graham
in 1972
Methodist
Flag

 

"The Cross and Flame is a registered trademark and the use is supervised by the General Council on Finance and Administration of The United Methodist Church. Permission to use the Cross and Flame must be obtained from the General Council on Finance and Administration of The United Methodist Church – Legal Department, 1200 Davis Street, Evanston, IL 60201."  — www.bobmay.info

Today's birthday:
Poet Allen Tate

"In the riven troughs the splayed leaves
Pile up, of nature the casual sacrament
To the seasonal eternity of death."

Ode to the Confederate Dead

Saturday, July 31, 2004

Saturday July 31, 2004

Filed under: General — m759 @ 3:00 am

For the Feast of St. Ignatius Loyola:

In God’s Name

“If Trinity is everything you say it is,” she said, “then why in God’s name would it be based in North Carolina?”

This I hadn’t expected.  “Aren’t you the top Jungian analyst in the world?”

“Well… one of them.”

“Why are you based in North Carolina?”

The Footprints of God



Nell

“Remembering speechlessly we seek the great forgotten language, the lost lane-end into heaven, a stone, a leaf, an unfound door. Where? When?”

Thomas Wolfe

Sunday, May 2, 2004

Sunday May 2, 2004

Filed under: General — m759 @ 2:00 am

Trinity Test

Some background on the previous entry, Honorable Bird….

A note on the Michael Douglas film in that previous entry:

“This film is not to be confused with Japanese director Shohei Imamura’s BLACK RAIN, which was produced around the same time. Imamura’s film deals with the lives of a Japanese family who survived the nuclear-bombing of Hiroshima. The phrase ‘black rain,’ used in both films, refers to the deadly fallout caused by the detonation of an atomic weapon.”

For related material on the religion of Trinity, see Hiroshima Mayor Says US Worships Nukes, a news story quoted in Death of a Holy Man (8/10/03).  The phrase “holy man” there is from John Steinbeck, who once wrote a sentence saying that sons of bitches, viewed from another perspective, are holy men.

Here is the death of another holy man, Clayton S. White, a medical researcher who developed the field of blast biology — the study of how nuclear explosions affect people immediately and over time.  This holy man died on April 26, 2004.  A log24 entry of that date supplies an appropriate epitaph for the holy man, dead at 91, who has now joined his younger brother, the late Supreme Court Justice Byron R. White, in some region of the afterworld.

Tuesday, March 16, 2004

Tuesday March 16, 2004

Filed under: General,Geometry — m759 @ 1:06 pm

Anschaulichkeit

In memory of John W. Seybold, who died at 88 on Sunday, March 14, 2004….

Seybold is said to have originated the application of the phrase “what you see is what you get” (WYSIWYG) to computerized typesetting.

The date of Seybold’s death was also the date of Einstein’s birth.

The entry “Clarity and Certainty” for that day contains a discussion by Einstein of the fact that the altitudes of a triangle have a point in common.

A March 14 search for a clear diagram of that fact yielded the above illustration, to which I returned today after reading of Seybold’s WYSIWYG philosophy.  The illustration is taken from an article by a British teacher of geometry that contains the following:

“Dick Tahta wrote… of geometry as involving the direct apprehension of imagery, gazing as into the eyes of a beloved and a certain intuition-seeing (Anschauung)…..

His sentences have tremendous power, and yet the terms he uses are slippery and seem unexplainable. What is, or what might be, ‘direct apprehension of imagery’? What is evoked by the powerfully metaphorical ‘gazing as into the eyes of a beloved’? ‘Intuition’ is a tremendously difficult term…. The combination ‘intuition-seeing’ seems to represent an attempt to convey a meaning for the German ‘Anschauung,’ and echoes the original title of the text Anschauliche Geometrie by Hilbert and Cohn-Vossen which was published in English as Geometry and the Imagination.”

From the same article:

“… for Lacan ‘mathematics … is constantly in touch with the unconscious’….

Commentators on Lacan frequently write that… he argued that the human being is captivated by an image….

The object, in a sense, gazes back.”

From a discussion group:

“Anschaulichkeit” is in my Cassell’s German-English dictionary, with the meanings “visual or graphic quality, clearness, vividness, perspicuity.”

For “anschaulich,” this dictionary gives “visual, clear, vivid, graphic, concrete; (Phil.) intuitive, perceptual.”

For “Anschauung” it has

  1. visual perception…..
  2. mode of viewing, way of looking at or seeing, idea, conception, notion, opinion, (point of) view, outlook
  3. (Phil.) perception…..
  4. (Theol.) contemplation.

The final meaning above, theological contemplation, suggests that the altitude-intersection diagram above may be used for a meditation on the Trinity.  This is, of course, silly, but no sillier than the third-rate lucubrations of the damned charlatan Lacan.

And so let us pray that Einstein on his birthday was joined by Seybold in rapturous contemplation of the Trinity as revealed in the physicist’s “holy geometry book.”

For a less silly geometrico-theological metaphor, see “Scalene Trinities” from The Mind of the Maker, by Dorothy Sayers.

For a related revelation, see A Contrapuntal Theme.

Monday, August 18, 2003

Monday August 18, 2003

Filed under: General,Geometry — Tags: , — m759 @ 3:09 pm

Entries since Xanga’s
August 10 Failure:


Sunday, August 17, 2003  2:00 PM

A Thorny Crown of…

West Wing's Toby Ziegler

From the first episode of
the television series
The West Wing“:

 

Original airdate: Sept. 22, 1999
Written by Aaron Sorkin

MARY MARSH
That New York sense of humor. It always–

CALDWELL
Mary, there’s absolutely no need…

MARY MARSH
Please, Reverend, they think they’re so much smarter. They think it’s smart talk. But nobody else does.

JOSH
I’m actually from Connecticut, but that’s neither here nor there. The point is that I hope…

TOBY
She meant Jewish.

[A stunned silence. Everyone stares at Toby.]

TOBY (CONT.)
When she said “New York sense of humor,” she was talking about you and me.

JOSH
You know what, Toby, let’s just not even go there.

 

Going There, Part I

 

Crown of Ideas

Kirk Varnedoe, 57, art historian and former curator of the Museum of Modern Art, died Thursday, August 14, 2003.

From his New York Times obituary:

” ‘He loved life in its most tangible forms, and so for him art was as physical and pleasurable as being knocked down by a wave,’ said Adam Gopnik, the writer and a former student of his who collaborated on Mr. Varnedoe’s first big show at the Modern, ‘High & Low.’ ‘Art was always material first — it was never, ever bound by a thorny crown of ideas.’ ”

For a mini-exhibit of ideas in honor of Varnedoe, see

Fahne Hoch.

Verlyn Klinkenborg on Varnedoe:

“I was always struck by the tangibility of the words he used….  It was as if he were laying words down on the table one by one as he used them, like brushes in an artist’s studio. That was why students crowded into his classes and why the National Gallery of Art had overflow audiences for his Mellon Lectures earlier this year. Something synaptic happened when you listened to Kirk Varnedoe, and, remarkably, something synaptic happened when he listened to you. You never knew what you might discover together.”

Perhaps even a “thorny crown of ideas“?

“Crown of Thorns”
Cathedral, Brasilia

Varnedoe’s death coincided with
the Great Blackout of 2003.

“To what extent does this idea of a civic life produced by sense of adversity correspond to actual life in Brasília? I wonder if it is something which the city actually cultivates. Consider, for example the cathedral, on the monumental axis, a circular, concrete framed building whose sixteen ribs are both structural and symbolic, making a structure that reads unambiguously as a crown of thorns; other symbolic elements include the subterranean entrance, the visitor passing through a subterranean passage before emerging in the light of the body of the cathedral. And it is light, shockingly so….”

Modernist Civic Space: The Case of Brasilia, by Richard J. Williams, Department of History of Art, University of Edinburgh, Scotland

 

Going There, Part II

Simple, Bold, Clear

Art historian Kirk Varnedoe was, of course, not the only one to die on the day of the Great Blackout.

Claude Martel, 34, a senior art director of The New York Times Magazine, also died on Thursday, August 14, 2003.

Janet Froelich, the magazine’s art director, describes below a sample of work that she and Martel did together:

“A new world of ideas”

Froelich notes that “the elements are simple, bold, and clear.”

For another example of elements with these qualities, see my journal entry

Fahne Hoch.

The flag design in that entry
might appeal to Aaron Sorkin’s
Christian antisemite:

 

Fahne,
S. H. Cullinane,
Aug. 15, 2003

Dr. Mengele,
according to
Hollywood

 

Note that the elements of the flag design have the qualities described so aptly by Froelich– simplicity, boldness, clarity:

They share these qualities with the Elements of Euclid, a treatise on geometrical ideas.

For the manner in which such concepts might serve as, in Gopnik’s memorable phrase, a “thorny crown of ideas,” see

“Geometry for Jews” in

ART WARS: Geometry as Conceptual Art.

See also the discussion of ideas in my journal entry on theology and art titled

Understanding: On Death and Truth

and the discussion of the wordidea” (as well as the word, and the concept, “Aryan”) in the following classic (introduced by poet W. H. Auden):

 

 

Saturday, August 16, 2003  6:00 AM

Varnedoe’s Crown

Kirk Varnedoe, 57, art historian and former curator of the Museum of Modern Art, died Thursday, August 14, 2003.

From his New York Times obituary:

” ‘He loved life in its most tangible forms, and so for him art was as physical and pleasurable as being knocked down by a wave,’ said Adam Gopnik, the writer and a former student of his who collaborated on Mr. Varnedoe’s first big show at the Modern, ‘High & Low.’ ‘Art was always material first — it was never, ever bound by a thorny crown of ideas.’ “

For a mini-exhibit of ideas in honor of Varnedoe, see

Fahne Hoch. 

Verlyn Klinkenborg on Varnedoe:

“I was always struck by the tangibility of the words he used….  It was as if he were laying words down on the table one by one as he used them, like brushes in an artist’s studio. That was why students crowded into his classes and why the National Gallery of Art had overflow audiences for his Mellon Lectures earlier this year. Something synaptic happened when you listened to Kirk Varnedoe, and, remarkably, something synaptic happened when he listened to you. You never knew what you might discover together.”

Perhaps even a “thorny crown of ideas”?

“Crown of Thorns”
Cathedral, Brasilia

Varnedoe’s death coincided with
the Great Blackout of 2003.

“To what extent does this idea of a civic life produced by sense of adversity correspond to actual life in Brasília? I wonder if it is something which the city actually cultivates. Consider, for example the cathedral, on the monumental axis, a circular, concrete framed building whose sixteen ribs are both structural and symbolic, making a structure that reads unambiguously as a crown of thorns; other symbolic elements include the subterranean entrance, the visitor passing through a subterranean passage before emerging in the light of the body of the cathedral. And it is light, shockingly so….”

Modernist Civic Space: The Case of Brasilia, by Richard J. Williams, Department of History of Art, University of Edinburgh, Scotland


Friday, August 15, 2003  3:30 PM

ART WARS:

The Boys from Brazil

It turns out that the elementary half-square designs used in Diamond Theory

 

also appear in the work of artist Nicole Sigaud.

Sigaud’s website The ANACOM Project  has a page that leads to the artist Athos Bulcão, famous for his work in Brasilia.

From the document

Conceptual Art in an
Authoritarian Political Context:
Brasilia, Brazil
,

by Angélica Madeira:

“Athos created unique visual plans, tiles of high poetic significance, icons inseparable from the city.”

As Sigaud notes, two-color diagonally-divided squares play a large part in the art of Bulcão.

The title of Madeira’s article, and the remarks of Anna Chave on the relationship of conceptual/minimalist art to fascist rhetoric (see my May 9, 2003, entries), suggest possible illustrations for a more politicized version of Diamond Theory:

 

Fahne,
S. H. Cullinane,
Aug. 15, 2003

Dr. Mengele,
according to
Hollywood

 

Is it safe?

These illustrations were suggested in part by the fact that today is the anniversary of the death of Macbeth, King of Scotland, and in part by the following illustrations from my journal entries of July 13, 2003 comparing a MOMA curator to Lady Macbeth:

 

Die Fahne Hoch,
Frank Stella,
1959


Dorothy Miller,
MOMA curator,
died at 99 on
July 11, 2003
.

 


Thursday, August 14, 2003  3:45 AM

Famous Last Words

The ending of an Aug. 14 Salon.com article on Mel Gibson’s new film, “The Passion”:

” ‘The Passion’ will most likely offer up the familiar puerile, stereotypical view of the evil Jew calling for Jesus’ blood and the clueless Pilate begging him to reconsider. It is a view guaranteed to stir anew the passions of the rabid Christian, and one that will send the Jews scurrying back to the dark corners of history.”

— Christopher Orlet

“Scurrying”?!  The ghost of Joseph Goebbels, who famously portrayed Jews as sewer rats doing just that, must be laughing — perhaps along with the ghost of Lady Diana Mosley (née Mitford), who died Monday.

This goes well with a story that Orlet tells at his website:

“… to me, the most genuine last words are those that arise naturally from the moment, such as

 

Joseph Goebbels

 

Voltaire’s response to a request that he foreswear Satan: ‘This is no time to make new enemies.’ ”

For a view of Satan as an old, familiar, acquaintance, see the link to Prince Ombra in my entry last October 29 for Goebbels’s birthday.


Wednesday, August 13, 2003  3:00 PM

Best Picture

For some reflections inspired in part by

click here.


Tuesday, August 12, 2003  4:44 PM

Atonement:

A sequel to my entry “Catholic Tastes” of July 27, 2003.

Some remarks of Wallace Stevens that seem appropriate on this date:

“It may be that one life is a punishment
For another, as the son’s life for the father’s.”

—  Esthétique du Mal, Wallace Stevens

Joseph Patrick Kennedy, Jr.

“Unless we believe in the hero, what is there
To believe? ….
Devise, devise, and make him of winter’s
Iciest core, a north star, central
In our oblivion, of summer’s
Imagination, the golden rescue:
The bread and wine of the mind….”

Examination of the Hero in a Time of War, Wallace Stevens

Etymology of “Atonement”:

Middle English atonen, to be reconciled, from at one, in agreement

At One

“… We found,
If we found the central evil, the central good….
… we and the diamond globe at last were one.”

Asides on the Oboe, Wallace Stevens


Tuesday, August 12, 2003  1:52 PM

Franken & ‘Stein,
Attorneys at Law

Tue August 12, 2003 04:10 AM ET
NEW YORK (Reuters) – Fox News Network is suing humor writer Al Franken for trademark infringement over the phrase ‘fair and balanced’ on the cover of his upcoming book, saying it has been ‘a signature slogan’ of the network since 1996.”

Franken:
Fair?

‘Stein:
Balanced?

For answers, click on the pictures
of Franken and ‘Stein.


Sunday, August 10, 2003

Sunday August 10, 2003

Filed under: General — m759 @ 8:35 am

Death of a Holy Man

Part I:  An American Religion

Hiroshima Mayor Says
US Worships Nukes

“HIROSHIMA — Hiroshima Mayor Tadatoshi Akiba warned that the world is moving toward war and accused Washington of ‘worshipping’ nuclear weapons during Wednesday’s ceremony marking the 58th anniversary of the atomic bombing of the city….

… the Hiroshima mayor blamed the United States for making the world a more uncertain place through its policy of undermining the Treaty on the Non-Proliferation of Nuclear Weapons.

‘A world without nuclear weapons and war that the victims of the atomic bomb have long sought for is slipping into the shadows of growing black clouds that could turn into mushroom clouds at any moment,’ Akiba said. ‘The chief cause of this is the United States’ nuclear policy which, by openly declaring the possibility of a pre-emptive nuclear strike and by starting research into small ‘useable’ nuclear weapons, appears to worship nuclear weapons as God.’ “

Mainichi Shimbun, Aug. 6, 2003

Part II: Holy Men and
             Sons of Bitches

“I am become Death, the Destroyer of Worlds.”

Dr. J. Robert Oppenheimer,
    Director of Los Alamos

John Steinbeck describing Cannery Row in Monterey:

“Its inhabitants are, as the man once said, ‘whores, pimps, gamblers, and sons of bitches,’ by which he meant Everybody. Had the man looked through another peephole he might have said, ‘Saints and angels and martyrs and holy men,’ and he would have meant the same thing.”  

“Now we are all sons of bitches.”

Dr. Kenneth Bainbridge,
    Director of Trinity Test

Part III: Death of a Holy Man

The New York Times, Aug. 10, 2003:

Atom-Bomb Physicist Dies at 98

“Henry A. Boorse, a physicist who was one of the original scientists who worked on the Manhattan Project in the development of the atomic bomb, died on July 28 in Houston, where he lived….

Dr. Boorse was a consultant to the United States Atomic Energy Commission from 1946 to 1958 and to the Brookhaven National Laboratory from 1951 to 1955.

He and Lloyd Motz wrote a two-volume work, The World of the Atom (1966), and — with Jefferson Hane Weaver — a one-volume book, The Atomic Scientists (1989).”

From a review of The Atomic Scientists:

“… the authors try to add a personal element that can excite the reader about science.”

For more excitement, see Timequake, by Kurt Vonnegut, Jr.

Saturday, August 9, 2003

Saturday August 9, 2003

Filed under: General — m759 @ 12:07 pm

Beware of…
Jews Peddling Stories:

An episode in the ongoing saga of the conflict between the "story theory of truth" and the "diamond theory of truth."

The following set of pictures summarizes some reflections on truth and reality suggested by the August 9, 2003, New York Times obituary of writer William Woolfolk, who died on July 20, 2003.

Woolfolk was the author of The Sex Goddess and was involved in the production of the comic book series The Spirit (see below).

The central strategy of the three Semitic religions — Judaism, Christianity, and Islam — is to pretend that we are all characters in a story whose author is God.  This strategy suggests the following Trinity, based on the work of William Woolfolk (The Sex Goddess and The Spirit) and Steven Spielberg ("Catch Me If You Can").  Like other Semitic tales, the story of this Trinity should not be taken too seriously.

 

William Woolfolk
Woolfolk as
a Jewish God

The Sex Goddess
Woolfolk's Story

 

Martin Sheen in Catch Me If You Can
The Father as
a Lutheran God

 

Amy Adams in Catch Me If You Can
The Father's
Story

DiCaprio as a doctor
The Son

DiCaprio and Adams
The Son's Story

Amy Adams, star of Catch Me If You Can
The Holy
Spirit

The Spirit, 1942
The Holy
Spirit's Story

 

A Confession of Faith:

Theology Based On the Film
"Catch Me If You Can":

The Son to God the Lutheran Father:

"I'm nothing really, just a kid in love with your daughter."

This is taken from a review of "Catch Me If You Can" by Thomas S. Hibbs.

For some philosophical background to this confession, see Hibbs's book

Shows About Nothing:
Nihilism in Popular Culture
from The Exorcist to Seinfeld
.

By the way, today is the anniversary of the dropping on Nagasaki
of a made-in-USA Weapon of Mass Destruction, a plutonium bomb
affectionately named Fat Man.

Fat Man was a sequel to an earlier Jewish story,

Trinity.

Monday, August 4, 2003

Monday August 4, 2003

Filed under: General — m759 @ 2:00 am

A Queer Religion

August 4 headline:

Gay bishop on way to win

This suggests the following theological meditation by a gay Christian:

“I can’t resist but end by pointing out the irony of the doctrine of the Trinity as seen by gay eyes. Please don’t take what I say next too seriously. I don’t believe that gender is very important or that it is any more present in God than is ‘green-ness,’ however, I simply can’t resist.

The Trinity seems to be founded on the ecstatic love union of two male persons; the Father and the Son. If one takes this seriously it is incestuous pedophilia. There is no doubt that this union is generative (and so in the origin of the meaning ‘sexual’) in character, because from it bursts forth a third person: Holy Spirit; neuter in Greek, feminine in Hebrew! Whereas Islam detests the Catholic idea that the Blessed Virgin was ‘impregnated’ by God, as demeaning to the transcendence of God, the internal incestuous homosexuality that the doctrine of the Trinity amounts to should really offend more!

Any orthodox  account of the inner life of God is at best highly uncongenial to the paradigm of the heterosexual nuclear family. Amusingly, the contemporary Magisterium fails to notice this and even attempts to use the doctrine of the procession of the Spirit from the Father and the Son to bolster its conventional championing of ‘male-female complementarity’ and the centrality of procreation to all authentically ‘self-giving’ relationships. Absurdities will never cease!”

Amen to the conclusion, at least.

The author of this meditation, “Pharsea,” is a “traditional Catholic” and advocate of the Latin Mass — just like Mel Gibson.  One wonders how Gibson might react to Pharsea’s theology.

As for me… I always thought there was something queer about that religion.

Friday, May 23, 2003

Friday May 23, 2003

Filed under: General — m759 @ 7:23 pm

Mental Health Month, Day 23:

The Prime Cut Gospel

On Christmas Day, 1949,
Mary Elizabeth Spacek was born in Texas.

Lee Marvin, Sissy Spacek in “Prime Cut”

Exercises for Mental Health Month:

Read this discussion of the phrase, suggested by Spacek’s date of birth, “God’s gift to men.”

Read this discussion of the phrase “the same yesterday, today, and forever,” suggested by the previous reading.

Read the more interesting of these discussions of the phrase “the eternal in the temporal.”

Read this discussion of eternal, or “necessary,” truths versus other sorts of alleged “truths.”

Read this discussion of unimportant mathematical properties of the prime number 23.

Read these discussions of important properties of 23:

  • R. D. Carmichael’s 1937 discussion of the linear fractional group modulo 23 in 

Introduction to the Theory of Groups of Finite Order, Ginn, Boston, 1937 (reprinted by Dover in 1956), final chapter, “Tactical Configurations,” and

  • Conway’s 1969 discussion of the same group in    

J. H. Conway, “Three Lectures on Exceptional Groups,” pp. 215-247 in Finite Simple Groups (Oxford, 1969), edited by M. B. Powell and G. Higman, Academic Press, London, 1971….. Reprinted as Ch. 10 in Sphere Packings, Lattices, and Groups 

Read this discussion of what might be called “contingent,” or “literary,” properties of the number 23. 

Read also the more interesting of  these discussions of the phrase “the 23 enigma.”

Having thus acquired some familiarity with both contingent and necessary properties of 23…

Read this discussion of Aquinas’s third proof of the existence of God.

Note that the classic Spacek film “Prime Cut” was released in 1972, the year that Spacek turned 23:

1949
+ 23


1972
 
Essay question:  
 
If Jesus was God’s gift to man, and (as many men would agree) so was the young Sissy Spacek (also born on Christmas Day), was young Sissy’s existence in her 23rd year contingent or necessary?  If the latter, should she be recognized as a Person of the Trinity? Quaternity? N-ity?
 
Talk amongst yourselves.

Sunday, May 11, 2003

Sunday May 11, 2003

Filed under: General — m759 @ 4:15 pm

Day of the Mother Ship:

A Close Encounter of the Third Level

Today is also the feast day of Saint Zenna Henderson, who was born on All Saints’ Day, 1917.   The Adherents.com website says she was a Mormon, but the printed reference work Contemporary Authors (written when she was still alive and could defend herself against any accusation of Mormonism) says she was a Methodist.  Maybe she was just one of The People — i.e., a Person.

“The concept of a person, which we find so familiar in its application to human beings, cannot be clearly and sharply expressed by any word in the vocabulary of Plato and Aristotle; it was wrought with the hammer and anvil* of theological disputes about the Trinity and the Person of Christ.”

Peter Geach, The Virtues, Cambridge U. Press, 1977, p. 75

See also Terpsichore and the Trinity.


* For a use of this phrase suited to Mental Health Month, see The Prisoner, Episode Ten.  See, too, Inaugural Address.

Wednesday, April 23, 2003

Wednesday April 23, 2003

Filed under: General — m759 @ 12:00 am

Midnight in the Garden
of Good and Evil
on Shakespeare’s Birthday

Tony Scherman on an April 7, 1968, recording by Nina Simone:

“…nobody could telescope more emotion into a single, idiosyncratically turned syllable (listen to the way she says the word “Savannah” in her spoken intro to “Sunday in Savannah.” It breaks your heart — and she ain’t even singin’ yet!).”

See also the following entries on midnight in the garden:

Trinity, Oct. 25, 2002

Midnight in the Garden, Oct. 26, 2002

Point of No Return, Dec. 10, 2002

Culture Clash at Midnight, Dec. 11, 2002

Dead Poets Society, Dec. 13, 2002

For the Dark Lady, Dec. 18, 2002

Nightmare Alley, Dec. 21, 2002

For the Green Lady, Dec. 21, 2002

“With a little effort, anything can be shown to connect with anything else: existence is infinitely cross-referenced.”

Opening sentence of Martha Cooley’s The Archivist

Woe unto
them that
call evil
good, and
good evil;
that put
darkness
for light,
and light
for darkness

Isaiah 5:20

 

 

As she spoke about the Trees of Life and Death, I watched her…. 
The Archivist

The world
has gone
mad today
And good’s
bad today,

And black’s
white today,
And day’s
night today

Cole Porter

 

 

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