Log24

Thursday, February 5, 2026

De Veritate*

Filed under: General — Tags: — m759 @ 8:36 am

* Cf. Anselm, De Veritate .

Pedaling

Filed under: General — Tags: , , — m759 @ 7:28 am

Roz Chast's Math Cliff

Friday, April 22, 2022

Pleasantly Discursive Day* in the East

Filed under: General — Tags: , — m759 @ 11:32 am

* Vide  "pleasantly discursive" in this journal.

Tuesday, August 10, 2021

Discursive

Filed under: General — Tags: — m759 @ 11:28 am

The structure in the previous post (three trios), though historically significant,
offers less opportunity for contrapuntal variation than . . .

Related remarks for Pleasantly Discursive Day

Friday, April 10, 2020

For Pleasantly Discursive Day

Filed under: General — Tags: — m759 @ 11:47 am

See “Pleasantly Discursive” in this journal.

Friday, April 19, 2019

Pleasantly Discursive Day

Filed under: General — Tags: , , — m759 @ 9:05 am

” There is a pleasantly discursive treatment
of Pontius Pilate’s unanswered question
‘What is truth?’ ”

— Coxeter, 1987, introduction to Trudeau’s
The Non-Euclidean Revolution

Greek Cross, adapted from painting by Ad Reinhardt

Wednesday, January 2, 2019

“Pleasantly Discursive” Continues.

Filed under: General — Tags: — m759 @ 12:21 pm

From this journal on December 13th, 2016

" There is a pleasantly discursive treatment 
of Pontius Pilate’s unanswered question
‘What is truth?’ "

— Coxeter, 1987, introduction to Trudeau’s
     The Non-Euclidean Revolution

Also on December 13th, 2016 —

Tuesday, January 9, 2018

Unpleasantly Discursive

Filed under: General — Tags: , — m759 @ 10:12 pm

Background for the remarks of Koen Thas in the previous post —
Schumacher and Westmoreland, "Modal Quantum Theory" (2010).

Related material —

" There is a pleasantly discursive treatment 
of Pontius Pilate’s unanswered question
‘What is truth?’ "

— Coxeter, 1987, introduction to Trudeau’s
     The Non-Euclidean Revolution

The whole  truth may require an unpleasantly  discursive treatment.

Example —

1. The reported death on Friday, Jan. 5, 2018, of a dancer
     closely associated with George Balanchine

2. This journal on Friday, Jan. 5, 2018:

3. Illustration from a search related to the above dancer:

4. "Per Mare Per Terras" — Clan slogan above, illustrated with
     what looks like a cross-dagger.

    "Unsheathe your dagger definitions." — James Joyce.

5. Discursive remarks on quantum theory by the above
    Schumacher and Westmoreland:

6. "How much story do you want?" — George Balanchine

Friday, December 16, 2016

Memory, History, Geometry

Filed under: General,Geometry — Tags: , — m759 @ 9:48 am

These are Rothko's Swamps .

See a Log24 search for related meditations.

For all three topics combined, see Coxeter —

" There is a pleasantly discursive treatment 
of Pontius Pilate’s unanswered question
‘What is truth?’ "

— Coxeter, 1987, introduction to Trudeau’s
     The Non-Euclidean Revolution

Update of 10 AM ET —  Related material, with an elementary example:

Posts tagged "Defining Form." The example —

IMAGE- Triangular models of the 4-point affine plane A and 7-point projective plane PA

Tuesday, December 13, 2016

The Thirteenth Novel

Filed under: General,Geometry — Tags: , — m759 @ 4:00 pm

John Updike on Don DeLillo's thirteenth novel, Cosmopolis

" DeLillo’s post-Christian search for 'an order at some deep level'
has brought him to global computerization:
'the zero-oneness of the world, the digital imperative . . . . ' "

The New Yorker , issue dated March 31, 2003

On that date ….

Related remark —

" There is a pleasantly discursive treatment 
of Pontius Pilate’s unanswered question
‘What is truth?’ "

— Coxeter, 1987, introduction to Trudeau’s
     The Non-Euclidean Revolution

Friday, May 6, 2016

ART WARS continues…

Filed under: General — Tags: — m759 @ 11:00 am

"Again, in spite of that, we call this Friday good."
— T. S. Eliot, Four Quartets

From this journal on Orthodox Good Friday, 2016,
an image from New Scientist  on St. Andrew's Day, 2015 —

From an old Dick Tracy strip —

See also meditations from this year's un -Orthodox Good Friday
in a Tennessee weblog and in this  journal

" There is a pleasantly discursive treatment 
of Pontius Pilate’s unanswered question
‘What is truth?’ ”

— Coxeter, 1987, introduction to Trudeau’s
     The Non-Euclidean Revolution

Friday, March 25, 2016

Pleasantly Discursive

Filed under: General — Tags: , — m759 @ 10:00 am

Toronto geometer H.S.M. Coxeter, introducing a book by Unitarian minister
Richard J. Trudeau —

"There is a pleasantly discursive treatment of Pontius Pilate’s
unanswered question ‘What is truth?’”

— Coxeter, 1987, introduction to Trudeau’s
     The Non-Euclidean Revolution

Another such treatment

"Of course, it will surprise no one to find low standards
of intellectual honesty on the Tonight Show.

But we find a less trivial example if we enter the
hallowed halls of Harvard University. . . ."

— Neal Koblitz, "Mathematics as Propaganda"

Less pleasantly and less discursively —

"Funny how annoying a little prick can be."
— The late Garry Shandling

Friday, April 22, 2011

Romancing the Hyperspace

Filed under: General,Geometry — Tags: — m759 @ 7:59 pm

For the title, see Palm Sunday.

"There is a pleasantly discursive treatment of
Pontius Pilate's unanswered question 'What is truth?'" — H. S. M. Coxeter, 1987

From this date (April 22) last year—

Image-- examples from Galois affine geometry

Richard J. Trudeau in The Non-Euclidean Revolution , chapter on "Geometry and the Diamond Theory of Truth"–

"… Plato and Kant, and most of the philosophers and scientists in the 2200-year interval between them, did share the following general presumptions:

(1) Diamonds– informative, certain truths about the world– exist.
(2) The theorems of Euclidean geometry are diamonds.

Presumption (1) is what I referred to earlier as the 'Diamond Theory' of truth. It is far, far older than deductive geometry."

Trudeau's book was published in 1987. The non-Euclidean* figures above illustrate concepts from a 1976 monograph, also called "Diamond Theory."

Although non-Euclidean,* the theorems of the 1976 "Diamond Theory" are also, in Trudeau's terminology, diamonds.

* "Non-Euclidean" here means merely "other than  Euclidean." No violation of Euclid's parallel postulate is implied.

Trudeau comes to reject what he calls the "Diamond Theory" of truth. The trouble with his argument is the phrase "about the world."

Geometry, a part of pure mathematics, is not  about the world. See G. H. Hardy, A Mathematician's Apology .

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