Log24

Wednesday, October 11, 2023

Void Game

Filed under: General — Tags: , , — m759 @ 3:21 pm

Fans of the phrase "God-shaped hole" may have some opinions
about what should fill the inner 3×3 void of the above 5×5 array.

Update of 3:53 pm ET The White Paper —

The Source —

The Atlantic . . . Technology: 

The New AI Panic

Washington and Beijing have been locked in a conflict
over AI development. Now a new battle line is being drawn.

By Karen Hao. October 11, 2023, 9:13 AM ET

Sunday, November 6, 2022

Random Terms

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

 

Friday, March 28, 2008

Friday March 28, 2008

Filed under: General — m759 @ 2:14 pm
Being and Nothingness

“From this I reach what I might call a philosophy; at any rate it is a constant idea of mine; that behind the cotton wool [of daily life] is hidden a pattern; that we– I mean all human beings– are connected with this; that the whole world is a work of art; that we are parts of the work of art. Hamlet or a Beethoven quartet is the truth about this vast mass that we call the world. But there is no Shakespeare, there is no Beethoven; certainly and emphatically there is no God; we are the words; we are the music; we are the thing itself.”

— Virginia Woolf, “A Sketch of the Past,” 1939-40, in Moments of Being

“And I a maid at your window,
To be your Valentine.”

— Ophelia, Hamlet IV. v.

“Ophelia’s story becomes the Story of O– the zero, the empty circle or mystery of feminine difference, the cipher of female sexuality to be deciphered by feminist interpretation.”

— Elaine Showalter, “Representing Ophelia: Women, Madness, and the Responsibilities of Feminist Criticism.” Hamlet. Ed. Susanne L. Wofford. Boston: Bedford Books of St.Martin’s Press, 1994. 220-238.

Monday, July 2, 2007

Monday July 2, 2007

Filed under: General — m759 @ 12:03 pm
Question mark in diamond

From a Log24 entry
of March 20, 2005,
as rendered today
by a Xanga server
and my Mozilla browser:

Postmodern Diamond

The above screenshot is only
an image of the links;
here are the links themselves:

A Postmodern Twinkle

A Postmodern Diamond

 
The question mark in the
diamond is the browser’s
rendition of the server’s
baffled response to
a character it cannot
recognize– in this case,
 the HTML code for
a blank space:
“ ”

Related material:
The God-Shaped Hole

Sunday, May 20, 2007

Sunday May 20, 2007

Filed under: General,Geometry — m759 @ 8:00 am
Plato and Shakespeare:
Solid and Central

"I have another far more solid and central ground for submitting to it as a faith, instead of merely picking up hints from it as a scheme. And that is this: that the Christian Church in its practical relation to my soul is a living teacher, not a dead one. It not only certainly taught me yesterday, but will almost certainly teach me to-morrow. Once I saw suddenly the meaning of the shape of the cross; some day I may see suddenly the meaning of the shape of the mitre. One free morning I saw why windows were pointed; some fine morning I may see why priests were shaven. Plato has told you a truth; but Plato is dead. Shakespeare has startled you with an image; but Shakespeare will not startle you with any more. But imagine what it would be to live with such men still living, to know that Plato might break out with an original lecture to-morrow, or that at any moment Shakespeare might shatter everything with a single song. The man who lives in contact with what he believes to be a living Church is a man always expecting to meet Plato and Shakespeare to-morrow at breakfast. He is always expecting to see some truth that he has never seen before."

— G. K. Chesterton, Orthodoxy, Ch. IX

From Plato, Pegasus, and the Evening Star (11/11/99):
 

"Nonbeing must in some sense be, otherwise what is it that there is not? This tangled doctrine might be nicknamed Plato's beard; historically it has proved tough, frequently dulling the edge of Occam's razor…. I have dwelt at length on the inconvenience of putting up with it. It is time to think about taking steps."
— Willard Van Orman Quine, 1948, "On What There Is," reprinted in From a Logical Point of View, Harvard University Press, 1980

"The Consul could feel his glance at Hugh becoming a cold look of hatred. Keeping his eyes fixed gimlet-like upon him he saw him as he had appeared that morning, smiling, the razor edge keen in sunlight. But now he was advancing as if to decapitate him."
— Malcolm Lowry, Under the Volcano, 1947, Ch. 10

 

"O God, I could be
bounded in a nutshell
and count myself
a king of infinite space,
were it not that
I have bad dreams."
Hamlet

Coxeter: King of Infinite Space

Coxeter exhuming geometry

From today's newspaper:

Dilbert on space, existence, and the dead

Notes:

For an illustration of
the phrase "solid and central,"
see the previous entry.

For further context, see the
five Log24 entries ending
on September 6, 2006
.

For background on the word
"hollow," see the etymology of
 "hole in the wall" as well as
"The God-Shaped Hole" and
"Is Nothing Sacred?"

For further ado, see
Macbeth, V.v
("signifying nothing")
and The New Yorker,
issue dated tomorrow.

Tuesday, August 23, 2005

Tuesday August 23, 2005

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

High Concept*

"Concept (scholastics' verbum mentis)–
 theological analogy of Son's procession
 as Verbum Patris, 111-12"
 — index to Joyce and Aquinas,
 by William T. Noon, S.J.,
Yale University Press 1957,
 second printing 1963, page 162

"So did God cause the big bang? Overcome by metaphysical lassitude, I finally reach over to my bookshelf for The Devil's Bible. Turning to Genesis I read: '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:

Nothing Ventured,
The God-Shaped Hole, and
Is Nothing Sacred?

 * See also John O'Callaghan, Thomistic Realism and the Linguistic Turn: Toward a More Perfect Form of Existence, (University of Notre Dame Press, 2003) and Joshua P. Hochschild, "Does Mental Language Imply Mental Representationalism? The Case of Aquinas’s Verbum Mentis," Proceedings of the Society for Medieval Logic and Metaphysics, Volume 4, 2004 (pdf), pp. 12-17.

Monday, August 22, 2005

Monday August 22, 2005

Filed under: General — Tags: , , — m759 @ 4:07 pm
The Hole

Part I: Mathematics and Narrative

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Apostolos Doxiadis on last month's conference on "mathematics and narrative"–

Doxiadis is describing how talks by two noted mathematicians were related to

    "… a sense of a 'general theory bubbling up' at the meeting… a general theory of the deeper relationship of mathematics to narrative…. "

Doxiadis says both talks had "a big hole in the middle."  

    "Both began by saying something like: 'I believe there is an important connection between story and mathematical thinking. So, my talk has two parts.  [In one part] I’ll tell you a few things about proofs.  [And in the other part] I’ll tell you about stories.' …. And in both talks it was in fact implied by a variation of the post hoc propter hoc, the principle of consecutiveness implying causality, that the two parts of the lectures were intimately related, the one somehow led directly to the other."
  "And the hole?"
  "This was exactly at the point of the link… [connecting math and narrative]… There is this very well-known Sidney Harris cartoon… where two huge arrays of formulas on a blackboard are connected by the sentence ‘THEN A MIRACLE OCCURS.’ And one of the two mathematicians standing before it points at this and tells the other: ‘I think you should be more explicit here at step two.’ Both… talks were one half fascinating expositions of lay narratology– in fact, I was exhilarated to hear the two most purely narratological talks at the meeting coming from number theorists!– and one half a discussion of a purely mathematical kind, the two parts separated by a conjunction roughly synonymous to ‘this is very similar to this.’  But the similarity was not clearly explained: the hole, you see, the ‘miracle.’  Of course, both [speakers]… are brilliant men, and honest too, and so they were very clear about the location of the hole, they did not try to fool us by saying that there was no hole where there was one."
 

Part II: Possible Worlds

"At times, bullshit can only be countered with superior bullshit."
Norman Mailer

Many Worlds and Possible Worlds in Literature and Art, in Wikipedia:

    "The concept of possible worlds dates back to a least Leibniz who in his Théodicée tries to justify the apparent imperfections of the world by claiming that it is optimal among all possible worlds.  Voltaire satirized this view in his picaresque novel Candide….
    Borges' seminal short story El jardín de senderos que se bifurcan ("The Garden of Forking Paths") is an early example of many worlds in fiction."

Background:

Modal Logic in Wikipedia

Possible Worlds in Wikipedia

Possible-Worlds Theory, by Marie-Laure Ryan
(entry for The Routledge Encyclopedia of Narrative Theory)

The God-Shaped Hole
 

Part III: Modal Theology

 
  "'What is this Stone?' Chloe asked….
  '…It is told that, when the Merciful One made the worlds, first of all He created that Stone and gave it to the Divine One whom the Jews call Shekinah, and as she gazed upon it the universes arose and had being.'"

  — Many Dimensions, by Charles Williams, 1931 (Eerdmans paperback, April 1979, pp. 43-44)


"The lapis was thought of as a unity and therefore often stands for the prima materia in general."

  — Aion, by C. G. Jung, 1951 (Princeton paperback, 1979, p. 236)

 

"Its discoverer was of the opinion that he had produced the equivalent of the primordial protomatter which exploded into the Universe."

  — The Stars My Destination, by Alfred Bester, 1956 (Vintage hardcover, July 1996, p. 216)
 
"We symbolize
logical necessity
with the box (box.gif (75 bytes))
and logical possibility
with the diamond (diamond.gif (82 bytes))."

 

 

Keith Allen Korcz 

The image “http://www.log24.com/log/pix05B/050802-Stone.gif” cannot be displayed, because it contains errors.

"The possibilia that exist,
and out of which
the Universe arose,
are located in
     a necessary being…."

Michael Sudduth,
Notes on
God, Chance, and Necessity
by Keith Ward,
Regius Professor of Divinity
at Christ Church College, Oxford
(the home of Lewis Carroll)

Wednesday, July 7, 2004

Wednesday July 7, 2004

Filed under: General,Geometry — m759 @ 7:00 pm

Beyond Geometry

(Title of current L. A. art exhibit)

John Baez:

What is the difference between topology and geometry?

Geometry you learn in high school; topology in college. So, topology costs more.

A bit more seriously….

“The greatest obstacle to discovery
is not ignorance —
  it is the illusion of knowledge.”

— Daniel J. Boorstin,
American historian, educator, writer.
Source: The Washington Post,
“The Six O’Clock Scholar,”
by Carol Krucoff (29 Jan. 1984)

For the illusion of knowledge,
see (for instance)
The Importance of Being Nothingness,
by Craig J. Hogan
(American Scientist, Sept.-Oct. 2001).

A bit more seriously…

“These cases are
neither harmless nor amusing.”
— Craig J. Hogan, op. cit.

For example:

“Thanks to Dr. Matrix
for honouring this website
with the Award for Science Excellence
on May 14, 2002 and selecting it
for prominent display in the categories
of Mathematics and Creative Minds.”

See also my notes
On Dharwadker’s Attempted Proof,
November 28, 2000, and
The God-Shaped Hole,
February 21, 2001.

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