Log24

Sunday, February 19, 2017

Radical

Filed under: Uncategorized — m759 @ 6:17 PM

Book from 1969 by the late Michael Novak

Science demonstrator in Boston today —

See as well Galois Imaginary in this journal.

So I called up the Captain, "Please bring me my wine"
He said, "We haven't had that spirit here since 1969"

Monday, January 6, 2014

Triumph of the Will

Filed under: Uncategorized — Tags: — m759 @ 4:00 PM

"… the human will cannot be simultaneously
triumphant and imaginary."

— Ross Douthat, Defender of the Faith,
     in this afternoon's New York Times  at 3:25* PM ET

Some— even some Catholics— might say the will
cannot be triumphant unless  imaginary.

Related material The Galois Quaternion: A Story.

See also C. S. Lewis on enchantment

* Cf.,  in this  journal,  the most recent 3/25 , 
  and a bareword —

Click image for some context.

Friday, September 2, 2011

Rigged?

Filed under: Uncategorized — m759 @ 1:44 PM

Sarah Tomlin in a Nature  article on the July 12-15 2005 Mykonos meeting on Mathematics and Narrative—

"Today, Mazur says he has woken up to the power of narrative, and in Mykonos gave an example of a 20-year unsolved puzzle in number theory which he described as a cliff-hanger. 'I don’t think I personally understood the problem until I expressed it in narrative terms,' Mazur told the meeting. He argues that similar narrative devices may be especially helpful to young mathematicians…."

Michel Chaouli in "How Interactive Can Fiction Be?" (Critical Inquiry  31, Spring 2005), pages 613-614—

"…a simple thought experiment….*

… If the cliffhanger is done well, it will not simply introduce a wholly unprepared turn into the narrative (a random death, a new character, an entirely unanticipated obstacle) but rather tighten the configuration of known elements to such a degree that the next step appears both inevitable and impossible. We feel the pressure rising to a breaking point, but we simply cannot foresee where the complex narrative structure will give way. This interplay of necessity and contingency produces our anxious— and highly pleasurable— speculation about the future path of the story. But if we could determine that path even slightly, we would narrow the range of possible outcomes and thus the uncertainty in the play of necessity and contingency. The world of the fiction would feel, not open, but rigged."

* The idea of the thought experiment emerged in a conversation with Barry Mazur.

Barry Mazur in the preface to his 2003 book Imagining Numbers

"But the telltale adjective real  suggests two things: that these numbers are somehow real to us and that, in contrast, there are unreal  numbers in the offing. These are the imaginary numbers

The imaginary  numbers are well named, for there is some imaginative work to do to make them as much a part of us as the real numbers we use all the time to measure for bookshelves. 

This book began as a letter to my friend Michel Chaouli. The two of us had been musing about whether or not one could 'feel' the workings of the imagination in its various labors. Michel had also mentioned that he wanted to 'imagine imaginary numbers.' That very (rainy) evening, I tried to work up an explanation of the idea of these numbers, still in the mood of our conversation."

See also The Galois Quaternion and 2/19.

IMAGE- NY Lottery evening numbers Thursday, Sept. 1, 2011 were 144 and 0219

New York Lottery last evening

Monday, February 14, 2011

Simplify (continued)

Filed under: Uncategorized — Tags: — m759 @ 12:00 PM

"Plato acknowledges how khora  challenges our normal categories
 of rational understanding. He suggests that we might best approach it
 through a kind of dream  consciousness."
  —Richard Kearney, quoted here yesterday afternoon

"You make me feel like I'm living a teenage dream."
 — Song at last night's Grammy awards

Image-- Richard Kiley with record collection in 'Blackboard Jungle,' 1955

Richard Kiley in "Blackboard Jungle" (1955)
Note the directive on the blackboard.

Quoted here last year on this date

Alexandre Borovik's Mathematics Under the Microscope  (American Mathematical Society, 2010)—

"Once I mentioned to Gelfand that I read his Functions and Graphs ; in response, he rather sceptically asked me what I had learned from the book. He was delighted to hear my answer: 'The general principle of always looking at the simplest possible example.'….

So, let us look at the principle in more detail:

Always test a mathematical theory on the simplest possible example…

This is a banality, of course. Everyone knows it; therefore, almost no one follows it."

Related material— Geometry Simplified and A Simple Reflection Group of Order 168.

"Great indeed is the riddle of the universe.
 Beautiful indeed is the source of truth."

– Shing-Tung Yau, Chairman,
Department of Mathematics, Harvard University

"Always keep a diamond in your mind."

King Solomon at the Paradiso

IMAGE-- Imaginary movie poster- 'The Galois Connection'- from stoneship.org

Image from stoneship.org

Thursday, January 6, 2011

Epiphany Riddle

Filed under: Uncategorized — Tags: — m759 @ 11:32 AM

"Spaces and geometries, those which we perceive,
which we can’t perceive, or which only some of us perceive,
are a recurring theme in Against  the Day ."

Michael White

"大哉大哉  宇宙之谜
 美哉美哉  真理之源"

"Great indeed is the riddle of the universe.
 Beautiful indeed is the source of truth."

— Shing-Tung Yau, Chairman,
Department of Mathematics, Harvard University

"Always keep a diamond in your mind."

King Solomon at the Paradiso

IMAGE-- Imaginary movie poster- 'The Galois Connection'- from stoneship.org

Image from stoneship.org

Saturday, December 11, 2010

Dual Duel

Filed under: Uncategorized — m759 @ 7:20 AM

"Shifting Amid, and Asserting, His Own Cinema"

— Headline of an essay on Bertolucci in tormorrow's Sunday New York Times

This, together with yesterday's post on the Paris "Symmetry, Duality, and Cinema" conference last June, suggests a review of the phrase "blue diamond" in this journal. The search shows a link to the French art film "Duelle."

Some background for the word and concept from a French dictionary

duel
  adjectif masculin singulier
1 relatif à la dualité, à ce qui est double, constitué de deux éléments distincts
  nom masculin singulier
2 combat opposant deux personnes, à l'arme blanche ou au pistolet, afin de chercher réparation d'un dommage ou d'une injure de l'un des combattants
3 par extension compétition, conflit
4  (linguistique) dans certaines langues, cas de nombre distinct du singulier et du pluriel, correspondant à une action effectuée par deux personnes

duelle
  adjectif féminin singulier
relative à la dualité, à ce qui est double, constitué de deux éléments distincts

For examples of  duel  and duelle  see Evariste Galois
and Helen Mirren (the latter in The Tempest  and in 2010 ).

IMAGE-- Imaginary movie poster- 'The Galois Connection'- from stoneship.org

Image from stoneship.org

Wednesday, October 20, 2010

Celebration of Mind

Filed under: Uncategorized — Tags: — m759 @ 8:00 PM
 

"Why the Celebration?"

"Martin Gardner passed away on May 22, 2010."

IMAGE-- Imaginary movie poster- 'The Galois Connection'- from stoneship.org

Imaginary movie poster from stoneship.org

Context— The Gardner Tribute.

Wednesday, January 6, 2010

Brightness at Noon, continued

Filed under: Uncategorized — m759 @ 12:00 PM

The Galois Quaternion

From The French Mathematician
by Tom Petsinis (Nov. 30, 1998)–

0

I had foreseen it all in precise detail.
One step led inevitably to the next,
like the proof of a shining theorem,
down to the conclusive shot that still echoes
through time and space.
Facedown in the damp pine needles,
I embraced that fatal sphere
with my whole body. Dreams, memories,
even the mathematics I had cherished
and set down in my last will and testament–
all receded. I am reduced to
a singular point; in an instant
I am transformed to i.

i = an imaginary being

Here, on this complex space,
i am no longer the impetuous youth
who wanted to change the world
first with a formula and then with a flame.
Having learned the meaning of infinite patience,
i now rise to the text whenever anyone reads
about Evariste Galois, preferring to remain
just below the surface,
like a goldfish nibbling the fringe of a floating leaf.
Ink is more mythical than blood
(unless some ancient poet slit his
vein and wrote an epic in red):
The text is a two-way mirror
that allows me to look into
the life and times of the reader.
Who knows, someday i may rise
to a text that will compel me
to push through to the other side.
Do you want proof that i exist? Where am i?
Beneath every word, behind each letter,
on the side of a period that will never see the light.

 

Related material:
The Galois Quaternion

The Galois Quaternion

Click for context.
(See also Nativity and the end
of this morning's post.)

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