Log24

Monday, August 13, 2018

Trojan Horsitude

Filed under: General,Geometry — Tags: — m759 @ 3:33 am
 

"It is said that the students of medieval Paris came to blows in the streets over the question of universals. The stakes are high, for at issue is our whole conception of our ability to describe the world truly or falsely, and the objectivity of any opinions we frame to ourselves. It is arguable that this is always the deepest, most profound problem of philosophy. It structures Plato's (realist) reaction to the sophists (nominalists). What is often called 'postmodernism' is really just nominalism, colourfully presented as the doctrine that there is nothing except texts. It is the variety of nominalism represented in many modern humanities, paralysing appeals to reason and truth."

— Simon Blackburn, Think,
    Oxford University Press, 1999, page 268


". . . a perfect triptych of horsitude"

James Parker on the 2007 film "Michael Clayton"

Related material —

Horsitude in the 4×2 grid, and

http://www.log24.com/log/pix18/180813-Structure_and_Sense-post-160606.gif

http://www.log24.com/log/pix18/180813-Knight_Moves-080116-page-top.gif

Thursday, November 2, 2017

The Trojan Pony

Filed under: G-Notes,General,Geometry — Tags: — m759 @ 7:31 pm

From a search in this journal for Springer Knight

     Binary coordinates for a 4x2 array  Chess knight formed by a Singer 7-cycle

Related material from Academia —

Nash and Needleman, 'On Magic Finite Projective Space,' Dec. 4, 2014

See also Log24 posts from the above "magic" date,
December 4, 2014, now tagged The Pony Argument.

Wednesday, January 10, 2024

The Crimson Abyss . . .

Filed under: General — Tags: — m759 @ 6:58 am

Continues . . .

"And as the characters in the meme twitch into the abyss
that is the sky, this meme will disappear into whatever
internet abyss swallowed MySpace."

—Staff writer Kamila Czachorowski, Harvard Crimson , March 29, 2017

Myspace.com (today) —

See also  this  journal on New Year's Eve 2005
and other remarks from that date . . .

Mytruth.com —

NOTE: Do not try to view the current  version of mytruth.com.
It was blocked by my antivirus program due to a possible trojan.

Thursday, May 21, 2020

Figuration

Filed under: General — Tags: — m759 @ 2:24 pm

See also Trojan Pony.

Monday, May 18, 2020

This about That…

Filed under: General — m759 @ 4:02 pm

Lifetime Achievement —

“Eugene Telemachus Rossides (his middle name was for the son of
Odysseus and Penelope in the Odyssey ) was born in Brooklyn on
Oct. 23, 1927.” —

Trojan Pony

Click the horse to search this journal for Trojan .

Tuesday, April 28, 2020

Mathgate*

Filed under: General — m759 @ 7:51 pm

* See the previous post.

Saturday, November 4, 2017

Seven-Cycles in an Octad

Filed under: G-Notes,General,Geometry — Tags: , — m759 @ 8:00 pm

Figures from a search in this journal for Springer Knight
and from the All Souls' Day post The Trojan Pony

     Binary coordinates for a 4x2 array  Chess knight formed by a Singer 7-cycle

For those who prefer pure abstraction to the quasi-figurative
1985 seven-cycle above, a different 7-cycle for M24 , from 1998 —


Compare and contrast with my own "knight" labeling
of a 4-row 2-column array (an M24 octad, in the system
of R. T. Curtis)  by the 8 points of the projective line
over GF(7),  from 2008 —

'Knight' octad labeling by the 8 points of the projective line over GF(7)

Friday, November 3, 2017

You Can Ride

Filed under: General — m759 @ 12:31 pm

(Continued from the previous post, The Trojan Pony.)

Stevie Nicks- 'High atop your pony'

Saturday, December 3, 2016

SIAM Publication

Filed under: General — m759 @ 10:01 am

For "the Trojan family" —

Related material on the late Solomon W. Golomb —

"While at JPL, Sol had also been teaching some classes
at the nearby universities: Caltech, USC and UCLA. In
the fall of 1962, following some changes at JPL—and
perhaps because he wanted to spend more time with
his young children— he decided to become a full-time
professor. He got offers from all three schools. He
wanted to go somewhere where he could 'make
a difference'. He was told that at Caltech 'no one has
any influence if they don’t at least have a Nobel Prize',
while at UCLA 'the UC bureaucracy is such that no one
ever has any ability to affect anything'. The result was
that—despite its much-inferior reputation at the time—
Sol chose USC. He went there in the spring of 1963 as
a Professor of Electrical Engineering—and ended up
staying for 53 years." — Stephen Wolfram, 5/25/16

See also Priority (Nov. 25) and "What's in a Name" (Dec. 1).

Monday, June 6, 2016

Structure and Sense

Filed under: General,Geometry — Tags: , — m759 @ 2:01 pm

"… the war of 70-some years ago
has already become something like the Trojan War
had been for the Homeric bards:
a major event in the mythic past
that gives structure and sense to our present reality."

— Justin E. H. Smith, a professor of philosophy at
     the University of Paris 7–Denis Diderot,
     in the New York Times  column "The Stone"
     (print edition published Sunday, June 5, 2016)

In memory of a British playwright who reportedly
died at 90 this morning —

Structure

Sense

A set of 7 partitions of the 2x2x2 cube that is invariant under PSL(2, 7) acting on the 'knight' coordinatization

Thursday, September 27, 2007

Thursday September 27, 2007

Filed under: General — m759 @ 6:29 am
The Holy Spook
 

continues:
 
Classics 101 —
 
The image “http://www.log24.com/log/pix07A/070915-HumanStain.jpg” cannot be displayed, because it contains errors.


Prof. Coleman Silk introducing
 freshmen to academic values


(See September 15. )

"The communication
of the dead is tongued with fire
   beyond the language of the living."

— T. S. Eliot, Four Quartets

The Boston Globe,
Tuesday, Sept. 25, 2007-

Psychiatrist treated veterans
using Homer


Work made him



Dr. Jonathan Shay
(Harvard Class of 1963)

(PAT GREENHOUSE/GLOBE STAFF)

"When Boston psychiatrist Jonathan Shay wanted to understand the psychological toll of the Vietnam War on the veterans he treated, he turned to the 'Iliad' and the 'Odyssey.'

The classical Greek epics perfectly encapsulate the mental damage of combat, said Shay, who works for the Department of Veterans Affairs in Boston….

Today, the John D. and Catherine T. MacArthur Foundation will announce that Shay, 65, has been selected as a 2007 MacArthur fellow 'for his work in using literary parallels from Homer's "Iliad" and "Odyssey" to treat combat trauma suffered by Vietnam veterans.'….

'I was hearing elements of the story of Achilles over and over again,' Shay said.

Achilles, the hero of the 'Iliad,' is mistreated by his commander, who takes a girl, a prize of war, from him. Achilles is also tormented by the loss of his best friend in the Trojan War. With his ethical universe upended, he goes berserk.

Soon, Shay began to work on his first book, 'Achilles in Vietnam: Combat Trauma and the Undoing of Character.'

In the book, he interspersed the story of Achilles with examples of his patients' losses and contentious relationships with their commanders in Vietnam to illustrate some of the causes of the troops' psychological wounds."

The first word of the 'Iliad,'
Menin, is written in Greek
on Professor Silk's blackboard
in the photo at top.
It means "wrath."

Related material:

The wrath of a Vietnam
veteran, portrayed by
Ed Harris, in the film
"The Human Stain,"
and a calmer Harris in
the illustration below,
from Log24, Oct. 8, 2005:

A History of Death

The image “http://www.log24.com/log/pix05B/051008-HistHarris3.jpg” cannot be displayed, because it contains errors.

Adapted from
the film
"A History of Violence"

Friday, February 9, 2007

Friday February 9, 2007

Filed under: General,Geometry — m759 @ 3:24 pm
The Romance
of Mathematics

The image “http://www.log24.com/log/pix07/070209-Cupid2.gif” cannot be displayed, because it contains errors.

On teachers of “core mathematics classes for non-majors, mathematics appreciation courses, and other lower level courses”:

“We are accustomed to being marginalized by society, our political leaders, and even our college and university administrations who often fail to see the scholarship involved in teaching. But how dare the Notices ignore us?”

— Complaint in the March 2007 Notices of the American Mathematical Society by “Julian F. Fleron, Ph.D., Professor of Mathematics, Westfield State College”

Let us examine Fleron’s alleged scholarship:

“Before each of my classes I put a quote on the board. The quote is either related to the mathematics we are studying, related to mathematics more generally, or related to learning and education. Student response has been tremendous, and I have found it to be very beneficial.” —Julian Fleron

Fleron offers us, without specifying an exact source, the following quotation:

“Mighty is geometry; joined with art, resistless. Euripides.

A search for the source leads us to a quotation from 1914, a time when teaching did sometimes involve scholarship:

“1568. Mighty are numbers, joined with art resistless. EURIPIDES. Hecuba, Line 884.”

Memorabilia Mathematica, by Robert Edouard Moritz, The Macmillan Company, 1914

But even in 1914, the scholarship, if one can call it that, was misleading. The 1914 quotation (which at least refers accurately to numbers, not geometry) is blatantly taken out of context to imply a connection with the mathematical art of number theory (as practiced by, say, G. H. Hardy) that is certainly not found in Euripides. The details:

HECUBA Sheltered beneath these tents is a host of Trojan women.

AGAMEMNON Dost mean the captives, the booty of the Hellenes?

HECUBA With their help will I punish my murderous foe.

AGAMEMNON How are women to master men?

HECUBA Numbers are a fearful thing, and joined to craft a desperate foe.

AGAMEMNON True; still I have a mean opinion of the female race.

This dialogue may have some relevance to today’s rumored selection at Harvard of a woman (Drew Gilpin Faust as Hecuba) to replace a man (Larry Summers as Agamemnon) in the president’s office. The dialogue’s only relevance to mathematics is in its reference to the perennial conflict between the sexes. Perhaps that conflict will serve to illustrate the title given by the Notices to Fleron’s complaint: “Teaching the Romance of Mathematics.”

Wednesday, September 10, 2003

Wednesday September 10, 2003

Filed under: General — m759 @ 1:09 am

Sept. 9, 2003,
NY Times Screenshot

And
the Hits
Just Keep
On Coming

 

  “Clean. Fast.
Professional.”

“Dr. Jose Barchilon, a psychoanalyst and educator who studied the unconscious roots of creativity and mental illness, died on

August 6

at his home in New Rochelle, N.Y. He was 90.

In addition to training and teaching in New York and Denver, Dr. Barchilon wrote extensively, including early studies of psychosomatic illness and psychoanalytic studies of novels by Jane Austen, Albert Camus, Mark Twain and others.

He also trained a generation of psychiatrists and psychoanalysts….”

The New York Times, Sept. 9, 2003

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