Sunday, November 1, 2020

Art Theory

Filed under: General — Tags: , — m759 @ 2:37 PM

“If you have built castles in the air, your work need not be lost;
that is where they should be. Now put the foundations under them.”
— Henry David Thoreau

Between, or:  Interality Illustrated   (according to Sherald)

“We live in between the lines;
in between the cracks . . . .
That’s where the bonds are formed. ”

Amy Sherald

Friday, December 15, 2017


Filed under: General — m759 @ 3:15 PM

The previous post, "Mind," suggests a search for "n+1" in this journal.
From that search —

The above psychoanalytic remarks suggest . . .

See also "Transformers" (2007).

"Before time began, there was the Cube."

— Optimus Prime

Thursday, July 7, 2016

The Curious Case of the Concrete Universal

Filed under: General — Tags: , — m759 @ 3:35 AM


Erica Goode in the online New York Times  tonight

"Irving Gottesman, a pioneer in the field of behavioral genetics
whose work on the role of heredity in schizophrenia helped
transform the way people thought about the origins of serious
mental illness, died on June 29 at his home in Edina, Minn., a
suburb of Minneapolis. He was 85.

His wife, Carol, said he died while taking an afternoon nap.
Although Dr. Gottesman had some health problems, she said,
his death was unexpected, and several of his colleagues said
they received emails from him earlier that day."

A note from noon (EDT) on that day, June 29, for the Church of Synchronology

A detail from the page mentioned in the June 29 post above —

A passage related to the word "soul" discussed by Sullivan —

See as well a related biblical passage, better known at the time of Royce (ca. 1892)
than today, that would probably mean nothing to the late Dr. Gottesman.

Saturday, April 14, 2012

Scottish Algebra

Filed under: General,Geometry — Tags: — m759 @ 11:59 PM

Two papers suggested by Google searches tonight—



File Format: PDF/Adobe Acrobat – View as HTML

by RT Curtis2001Related articles

This paper is based on a talk given at the Scottish Algebra Day 1998 in Edinburgh. ……

Curtis discusses the exceptional outer automorphism of S6
as arising from group actions of PGL(2,5).

See also Cameron and Galois on PGL(2,5)—



File Format: PDF/Adobe Acrobat – Quick View

by PJ CAMERON1975Cited by 14Related articles

PETER J. CAMERON. It is known that, if G is a triply transitive permutation group
on a finite set X with a regular S3 the symmetric group on 3 letters, and PGL (2, 5)
the 2-dimensional projective general linear Received 24 October, 1973

Illustration from Cameron (1973)—


Saturday, August 20, 2011

Castles in the Air

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

"… the Jews have discovered a way to access a fourth spatial dimension."
— Clifford Pickover, description of his novel Jews in Hyperspace

"If you have built castles in the air, your work need not be lost;
that is where they should be. Now put the foundations under them.”
— Henry David Thoreau

"King Solomon's Mines," 1937—

Image -- The cast of 1937's 'King Solomon's Mines' goes back to the future

The image above is an illustration from  "Romancing the Hyperspace," May 4, 2010.

Happy birthday to the late Salomon Bochner.

Tuesday, June 28, 2011


Filed under: General — m759 @ 2:45 AM

"He gazed out of the window hoping that somehow everything could make sense to him."

— "Passing in Silence," by Oliver Humpage

"You gotta be true to your code." —Sinatra

Exercise: Trace a path from the June 27 NY Lottery numbers
to the above two quotations.  Hint: See Cuernavaca and
Pilgrim's Progress  in TIME Magazine, May 3, 1948.


For some further background, click on the CBS quote above.
I still prefer, as I did in 1948, less  up-to-the-minute developments.

* The title refers to the phrase "the artist's signature."

Monday, August 5, 2002

Monday August 5, 2002

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

History, Stephen said….

The Modern Word

— To really know a subject you've got to learn a bit of its history….

John Baez, August 4, 2002

We both know what memories can bring;
They bring diamonds and rust.

—  Joan Baez, April 1975 

All sorts of structures that can be defined for finite sets have analogues for the projective geometry of finite fields….

Clearly this pattern is trying to tell us something; the question is what. As always, it pays to focus on the simplest case, since that's where everything starts.

John Baez, August 4, 2002

In the beginning was the word….

The Gospel according to Saint John

The anonymous author of John makes liberal use of allegory and double-entendre to illustrate this theme.

The Gospel of John

Born yesterday: Logician John Venn

Venn considered three discs R, S, and T as typical subsets of a set U. The intersections of these discs and their complements divide U into 8 nonoverlapping regions….

History of Mathematics at St. Andrews

Who would not be rapt by the thought of such marvels?….

Saint Bonaventure on the Trinity

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