Wednesday, July 14, 2010

The Lotus Gate*

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

Image-- The Jewel in Venn's Lotus (Zen in Cuernavaca)
The Jewel
in Venn’s Lotus

See also a prequel to
Ramanujan’s Flowering Tree

Flowering Judas.

* “Every city has its gates, which need not be of stone. Nor need soldiers be upon them or watchers before them. At first, when cities were jewels in a dark and mysterious world, they tended to be round and they had protective walls. To enter, one had to pass through gates, the reward for which was shelter from the overwhelming forests and seas, the merciless and taxing expanse of greens, whites, and blues–wild and free–that stopped at the city walls.

In time the ramparts became higher and the gates more massive, until they simply disappeared and were replaced by barriers, subtler than stone, that girded every city like a crown and held in its spirit.”

Mark Helprin, Winter’s Tale

Monday, May 3, 2010

Dream Time

Filed under: General,Geometry — Tags: , , — m759 @ 9:00 AM

“Mere anarchy is loosed upon the world”

William Butler Yeats

From a document linked to here on April 30, Walpurgisnacht–

“…the Golden Age, or Dream Time, is remote only from the rational mind. It is not accessible to euclidean reason….”

“The utopia of the Grand Inquisitor ‘is the product of “the euclidean mind” (a phrase Dostoyevsky often used)….'”

“The purer, the more euclidean the reason that builds a utopia, the greater is its self-destructive capacity. I submit that our lack of faith in the benevolence of reason as the controlling power is well founded. We must test and trust our reason, but to have faith  in it is to elevate it to godhead.”

“Utopia has been euclidean, it has been European, and it has been masculine. I am trying to suggest, in an evasive, distrustful, untrustworthy fashion, and as obscurely as I can, that our final loss of faith in that radiant sandcastle may enable our eyes to adjust to a dimmer light and in it perceive another kind of utopia.”

“You will recall that the quality of static perfection is an essential element of the non-inhabitability of the euclidean utopia….”

“The euclidean utopia is mapped; it is geometrically organized, with the parts labeled….”

— Ursula K. Le Guin, “A Non-Euclidean View of California as a Cold Place to Be”

San Francisco Chronicle  today

“A May Day rally in Santa Cruz erupted into chaos Saturday night….”

“Had Goodman Brown fallen asleep in the forest,
and only dreamed a wild dream of a witch-meeting?”

Nathaniel Hawthorne

Thursday, January 28, 2010

The Door into Summertime

Filed under: General — Tags: — m759 @ 9:29 AM

This journal on Aug. 17, 2008:

TIME photo of preacher Rick Warren embracing the Republican candidate (on his right) and the Democratic candidate (on his left)

That post linked to an earlier post illustrating
the triangle formed by Harvard, by the
Mystic River at Somerville, and
by Bunker Hill Community College–

Triangulation illustrated by Harvard, by Mystic River, and by Bunker Hill Community College

That post also linked to the Wikipedia article
Triangulation, which now states that
“Some members of the U.S. Democratic
Party, in particular the left, insist that
triangulation is ‘dead.'”

Perhaps. Click the image below
for some background.

The Mystic Eye of Somerville, with the late Howard Zinn and the late Louis Auchincloss-- 'The eye you see him with is the same eye with which he sees you'-- Father Egan

For a view of Somerville from Harvard for Zinn,
see May 31, 2006. For a view of Summertime
for Auchincloss, see the NY Times obituary
of a political figure who died on Sunday.

On that day, this journal pictured a different
metaphor from Robert Stone’s Father Egan
the jewel in the lotus–

The Jewel in Venn's Lotus (photo by Gerry Gantt)

Euclid’s classic construction
of the equilateral triangle
offers a different view of
the jewel in Venn’s lotus–

The image “http://www.log24.com/log/pix07/070701-Ratio.jpg” cannot be displayed, because it contains errors.

For a more poetic approach to
this metaphor, see Log24 on
another Sunday– July 1, 2007.

Happy birthday, Rick Warren.

Sunday, January 24, 2010

Today’s Sermon

Filed under: General,Geometry — Tags: — m759 @ 11:00 AM

More Than Matter

Wheel in Webster’s Revised Unabridged Dictionary, 1913

(f) Poetry

The burden or refrain of a song.

⇒ “This meaning has a low degree of authority, but is supposed from the context in the few cases where the word is found.” Nares.

You must sing a-down a-down, An you call him a-down-a. O, how the wheel becomes it! Shak.

“In one or other of G. F. H. Shadbold’s two published notebooks, Beyond Narcissus and Reticences of Thersites, a short entry appears as to the likelihood of Ophelia’s enigmatic cry: ‘Oh, how the wheel becomes it!’ referring to the chorus or burden ‘a-down, a-down’ in the ballad quoted by her a moment before, the aptness she sees in the refrain.”

— First words of Anthony Powell’s novel “O, How the Wheel Becomes It!” (See Library Thing.)

Anthony Powell's 'O, How the Wheel Becomes It!' along with Laertes' comment 'This nothing's more than matter.'

Related material:

Photo uploaded on January 14, 2009
with caption “This nothing’s more than matter”

and the following nothings from this journal
on the same date– Jan. 14, 2009

The Fritz Leiber 'Spider' symbol in a square

A Singer 7-cycle in the Galois field with eight elements

The Eightfold (2x2x2) Cube

The Jewel in Venn's Lotus (photo by Gerry Gantt)

Thursday, July 16, 2009

Thursday July 16, 2009

Filed under: General — Tags: , — m759 @ 7:00 PM
Mother of Beauty
continued from
April 7, 2004
In memory of Julius Shulman,
architectural photographer,
who died last night:

“And the lotos rose, quietly, quietly,
The surface glittered out of heart of light…”

Four Quartets, quoted here
November 22, 2004

Photo by Gerry Gantt, and the Jewel in Venn's Lotus

“… as in the hearth and heart of light.” Delmore Schwartz   

(See previous entry.)

Wednesday, January 14, 2009

Wednesday January 14, 2009

Filed under: General,Geometry — Tags: — m759 @ 2:45 AM

Eight is a Gate

'The Eight,' by Katherine Neville

Customer reviews of Neville's 'The Eight'

From the most highly
rated negative review:

“I never did figure out
what ‘The Eight’ was.”

Various approaches
to this concept
(click images for details):

The Fritz Leiber 'Spider' symbol in a square

A Singer 7-cycle in the Galois field with eight elements

The Eightfold (2x2x2) Cube

The Jewel in Venn's Lotus (photo by Gerry Gantt)

Tom O'Horgan in his loft. O'Horgan died Sunday, Jan. 11, 2009.

Bach, Canon 14, BWV 1087

Wednesday, March 3, 2004

Wednesday March 3, 2004

Filed under: General — Tags: — m759 @ 8:00 PM

Deep Play

In the previous entry, there was a reference to Carl Kaysen, former director of the Institute for Advanced Study at Princeton and father of Susanna Kaysen, author of Girl, Interrupted.

A search for further information on Carl Kaysen led to

Mark Turner, Cognitive Dimensions of Social Science: The Way We Think About Politics, Economics, Law, and Society, Oxford University Press, 2001.  For a draft of this work, click here.

Turner’s book describes thought and culture in terms of what he calls “blends.”  It includes a meditation on

Clifford Geertz, “Deep Play: Notes on the Balinese Cockfight,” in Dædalus, Journal of the American Academy of Arts and Sciences, issue entitled, “Myth, Symbol, and Culture,” Winter 1972, volume 101, number 1

That Turner bases weighty ruminations of what he is pleased to call “social science” on the properties of cockfights suggests that the academic world is, in some respects, even more bizarre than the mental hospital described by Kaysen’s daughter.

Still, Turner’s concept of “blends” is not without interest.

Here is a blend based on a diagram of the fields in which Turner and Kaysen père labor:

“politics, economics,
law, and society” (Turner)

and “economics, sociology,
politics and law” (Kaysen).

In the previous entry we abstracted from the nature of these academic pursuits, representing them simply as sets in a Venn diagram.  This led to the following religious icon, an example of a Turner “blend” —

The Jewel
in Venn’s Lotus.

Here is another “blend,” related both to the religious material in the previous entry and to Geertz’s influential essay.

From my entry for
St. Patrick’s Day, 2003

Summa Theologica

How can you tell there’s an Irishman
present at a cockfight?
He enters a duck.
How can you tell a Pole is present?
He bets on the duck.
How can you tell an Italian is present?
The duck wins.

(Source: Blanche Knott,
Truly Tasteless Jokes)

Illustration for the entries
of Oct. 27, 2003:

El Pato-lógico and a

“dream of heaven.”


Wednesday March 3, 2004

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

An Association of Ideas

“The association is the idea.” — Ian Lee

“One of my teachers told me I was a nihilist… I took it as a compliment.”
— Susanna Kaysen in Girl, Interrupted

MIT biography of Carl Kaysen, Susanna Kaysen’s father:

“His scholarly work has ranged widely in the areas where economics, sociology, politics and law overlap.”

Venn diagram using four sets

From Venn Diagram
by Alejandro Fuentes Penna and
Oscar de la Paz Arroyo,
ITESM Campus Cuernavaca,
Lomas de Cuernavaca,
Cuernavaca, Morelos, Mexico

“Ahí construyó Félix Candela la Capilla abierta (1959, junto con Guillermo Rosell y Manuel Larrosa)

que iba a ser un templo para todas las religiones, pero que no fue autorizada por las autoridades. Más adelante la Capilla habría de convertirse en restaurante, como el de Xochimilco construido en 1957, discoteca, bar y teatro. En el Casino de la Selva vivieron personajes famosos. Uno de ellos fue el escritor inglés Malcolm Lowry….”

El Casino de la Selva,
Octavio Rodríguez Araujo

“No se puede vivir sin amar.”

— Malcolm Lowry, Under the Volcano

Photo by Gerry Gantt

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