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(Old) Log24: Web Journal of
Steven H. Cullinane.


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m759.net/wordpress/.

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Name: Steven
Location: Pennsylvania, United States
Gender: Male


Interests: Mathematics, literature.
Occupation: Retired
Industry: Computers (Software)


Website: visit my website


Member Since: 7/20/2002
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Archived Entries:
See log24.com.

Selected Past Entries:

Three Days
of the
Saint, 2002

12/6:
Santa vs.
the Volcano


12/7:
Satori at
Pearl Harbor


12/8:
Architecture
of Eternity


Some may feel that the Saint in question is Philip Berrigan, who joined Saburo Ienaga and Ivan Illich on Dec. 6, 2002.

Others may feel that the Saint is Don Ameche, who died on Dec. 6, 1993.

"Things change."

— SHC 12/9/02

Sequel

Stan Rice died on Dec. 9, 2002. A poem of his tells what happened next.

Eight is a Gate

Hollywood producer dies Dec. 14, meets Bach at Heaven's Gate. Realistic comedy.

The Diamond Project

Notes on dance, mortality, and "the still point" on the date of Irene Diamond's death.

Immortal Diamond,
or
NASA Meets Jesus

Thoughts on John O'Hara and G. M. Hopkins for James Joyce's birthday.

Blackbird Singing

The Fred Rogers memorial koan.

Art Wars

LeWitt vs. Witt

Stone, not Wood

best describes St. Peter

The Word

in the Desert

Art Wars:

Fahne Hoch

and

Thorny Crown


O'Hara's Crucifixion


Unity and Reciprocity

in mathematics

The Quality of Diamond


Da Vinci Code ,

Crimson Passion,

Cubist Crucifixion.

Truth and Style


The Line


Bush Mutiny


Symmetry and Change


A Shot at Redemption


Mathematics and Narrative


The Judas Seat


Countdown


My math sites:

Finitegeometry.org

Finitegeometry.org/sc

The Diamond 16 Puzzle

Notes on Finite Geometry

The Diamond Theorem

The Geometry of Qubits

Diamond Theory

Diamond Theory
in 1937


Galois Geometry

A Four-Color Theorem

Latin-Square Geometry

Walsh Functions

The Fano Plane Revisualized

Cube Space, 1984-2003

Knight Moves

The MOG

Inscapes

The Diamond Theory of Truth

Logos and Logic

Literary-Philosophical
Puzzle Notes


A Mathematician's Aesthetics

Reflection Groups in Finite Geometry

A Reflection Group of Order 168

The Algebra of Groups

Reflection Groups: The Missing Link

Geometry of
the I Ching


The Diamond Archetype

Modal Theology

The Eightfold Way and Solomon's Seal

Crystal and Dragon in Diamond Theory

Poetry's Bones

Time Fold

War of Ideas

The Proof
and the Lie


Lemniscate
to Langlands


Symmetry Groups

Block Designs

Finite Relativity

Cognitive Blending

Geometry of the 4x4 Square

Visualizing GL(2,p)

Pattern Groups

Ideas and Art

Jung's Imago

Theme and Variations

The Geometry of Logic

Space-Time and a Finite Model

Quilt Geometry

Duality and Symmetry

Polster on Pictures

Kaleidoscope

The Dharwadker Files

Certified Crank

Dharwadker at Wikipedia

Coset Representatives

Archived Journal


Radio I Like

Plano TX KHYI

WAMU 88.5FM

WHRB Harvard

BBC 3

Live365.com


Favorite Books

The Practical Cogitator

Style

The Reader Over Your Shoulder

The Oxford Book of English Prose

Fancies and Goodnights


Other Online Commonplace Books

David Lavery

Peter J. Cameron

A. M. Kuchling

Constant Reader

Identity Theory

J. Jacobs

M. Magnus

ChrisNet

Anonymous

Sites I Read:

Bloglines list

Ping form

SubscriptionsSites I Read

Posting Calendar

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Tuesday, August 25, 2009

Geometry Lesson:

DOWN
AT THE
DINGHY
 
(continued from
  January 10th)

Equilateral triangle, each side's length equal to the square root of two


"Boo, boo, boo,
  square root of two.
"



Sunday, August 23, 2009

Sermon:

Inside NY Times 8/23/09-- images of Brooklyn Bridge, poets Frost and Stevens

Click on image for further details.


Saturday, August 22, 2009

Philosophy and Religion:


Thursday, August 20, 2009

Annals of Philosophy:

Sophists

From David Lavery's weblog today--

Kierkegaard on Sophists:
"If the natural sciences had been developed in Socrates' day as they are now, all the sophists would have been scientists. One would have hung a microscope outside his shop in order to attract customers, and then would have had a sign painted saying: Learn and see through a giant microscope how a man thinks (and on reading the advertisement Socrates would have said: that is how men who do not think behave)."

-- Søren Kierkegaard, Journals, edited and translated by Alexander Dru
To anyone familiar with Pirsig's classic Zen and the Art of Motorcycle Maintenance, the above remarks of Kierkegaard ring false. Actually, the sophists as described by Pirsig are not at all like scientists, but rather like relativist purveyors of postmodern literary "theory." According to Pirsig, the scientists are like Plato (and hence Socrates)-- defenders of objective truth.

Pirsig on Sophists:

"The pre-Socratic philosophers mentioned so far all sought to establish a universal Immortal Principle in the external world they found around them. Their common effort united them into a group that may be called Cosmologists. They all agreed that such a principle existed but their disagreements as to what it was seemed irresolvable. The followers of Heraclitus insisted the Immortal Principle was change and motion. But Parmenides’ disciple, Zeno, proved through a series of paradoxes that any perception of motion and change is illusory. Reality had to be motionless.

The resolution of the arguments of the Cosmologists came from a new direction entirely, from a group Phædrus seemed to feel were early humanists. They were teachers, but what they sought to teach was not principles, but beliefs of men. Their object was not any single absolute truth, but the improvement of men. All principles, all truths, are relative, they said. 'Man is the measure of all things.' These were the famous teachers of 'wisdom,' the Sophists of ancient Greece.

To Phaedrus, this backlight from the conflict between the Sophists and the Cosmologists adds an entirely new dimension to the Dialogues of Plato. Socrates is not just expounding noble ideas in a vacuum. He is in the middle of a war between those who think truth is absolute and those who think truth is relative. He is fighting that war with everything he has. The Sophists are the enemy.

Now Plato's hatred of the Sophists makes sense. He and Socrates are defending the Immortal Principle of the Cosmologists against what they consider to be the decadence of the Sophists. Truth. Knowledge. That which is independent of what anyone thinks about it. The ideal that Socrates died for. The ideal that Greece alone possesses for the first time in the history of the world. It is still a very fragile thing. It can disappear completely. Plato abhors and damns the Sophists without restraint, not because they are low and immoral people... there are obviously much lower and more immoral people in Greece he completely ignores. He damns them because they threaten mankind's first beginning grasp of the idea of truth. That's what it is all about.

The results of Socrates' martyrdom and Plato's unexcelled prose that followed are nothing less than the whole world of Western man as we know it. If the idea of truth had been allowed to perish unrediscovered by the Renaissance it's unlikely that we would be much beyond the level of prehistoric man today. The ideas of science and technology and other systematically organized efforts of man are dead-centered on it. It is the nucleus of it all.

And yet, Phaedrus understands, what he is saying about Quality is somehow opposed to all this. It seems to agree much more closely with the Sophists."

I agree with Plato's (and Rebecca Goldstein's) contempt for relativists. Yet Pirsig makes a very important point. It is not the scientists but rather the storytellers (not, mind you, the literary theorists) who sometimes seem to embody Quality.

As for hanging a sign outside the shop, I suggest (particularly to New Zealand's Cullinane College) that either or both of the following pictures would be more suggestive of Quality than a microscope:

Alfred Bester covers showing 'primordial protomatter' (altered here) from 'Stars' and Rogue Winter from 'Deceivers'

For the "primordial protomatter"
in the picture at left, see
The Diamond Archetype.


Wednesday, August 19, 2009

Annals of Mathematics, continued:

From Visualizing GL(2,p)
to Visualizing GL(2,Z)


A note from 1985 leads,
via today's earlier entry,
to an article from 1993:

Visualizing Toral Automorphisms-- The opening paragraphs
See also
 Arnold's Cat Map.



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