Log24

Wednesday, March 27, 2013

Easter Egg

Filed under: General — m759 @ 7:00 am

In memory of singer/songwriter
Jason Molina, who died March 16:

Hold on, Magnolia

Saturday, March 16, 2013

Puzzles

Filed under: General,Geometry — m759 @ 7:59 am

For readers of The Daily Princetonian :

IMAGE- 4x4 array in 'Ancient Jewels' puzzle

(From a site advertised in the
Princetonian  on March 11, 2013)

For readers of The Harvard Crimson :

IMAGE- Harvard Crimson ad, Easter Sunday, 2008: 'Finite projective geometry as a graphic grammar of abstract design'

For some background, see Crimson Easter Egg and the Diamond 16 Puzzle.

For some (very loosely) related narrative, see Crosswicks in this journal
and the Crosswicks Curse  in a new novel by Joyce Carol Oates.

"There is  such a thing as a tesseract."
— Crosswicks author Madeleine L'Engle

Monday, September 17, 2012

Pattern Conception

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

( Continued from yesterday's post FLT )

Context Part I —

"In 1957, George Miller initiated a research programme at Harvard University to investigate rule-learning, in situations where participants are exposed to stimuli generated by rules, but are not told about those rules. The research program was designed to understand how, given exposure to some finite subset of stimuli, a participant could 'induce' a set of rules that would allow them to recognize novel members of the broader set. The stimuli in question could be meaningless strings of letters, spoken syllables or other sounds, or structured images. Conceived broadly, the project was a seminal first attempt to understand how observers, exposed to a set of stimuli, could come up with a set of principles, patterns, rules or hypotheses that generalized over their observations. Such abstract principles, patterns, rules or hypotheses then allow the observer to recognize not just the previously seen stimuli, but a wide range of other stimuli consistent with them. Miller termed this approach 'pattern conception ' (as opposed to 'pattern perception'), because the abstract patterns in question were too abstract to be 'truly perceptual.'….

…. the 'grammatical rules' in such a system are drawn from the discipline of formal language theory  (FLT)…."

— W. Tecumseh Fitch, Angela D. Friederici, and Peter Hagoort, "Pattern Perception and Computational Complexity: Introduction to the Special Issue," Phil. Trans. R. Soc. B  (2012) 367, 1925-1932 

Context Part II —

IMAGE- Wikipedia article 'Formal language'

Context Part III —

A four-color theorem describes the mathematics of
general  structures, not just symbol-strings, formed from
four kinds of things— for instance, from the four elements
of the finite Galois field GF(4), or the four bases of DNA.

Context Part IV —

A quotation from William P. Thurston, a mathematician
who died on Aug. 21, 2012—

"It may sound almost circular to say that
what mathematicians are accomplishing
is to advance human understanding of mathematics.
I will not try to resolve this
by discussing what mathematics is,
because it would take us far afield.
Mathematicians generally feel that they know
what mathematics is, but find it difficult
to give a good direct definition.
It is interesting to try. For me,
'the theory of formal patterns'
has come the closest, but to discuss this
would be a whole essay in itself."

Related material from a literate source—

"So we moved, and they, in a formal pattern"

Formal Patterns—

Not formal language theory  but rather
finite projective geometry  provides a graphic grammar
of abstract design

IMAGE- Harvard Crimson ad, Easter Sunday, 2008: 'Finite projective geometry as a graphic grammar of abstract design'

See also, elsewhere in this journal,
Crimson Easter Egg and Formal Pattern.

Monday, January 4, 2010

Google’s Apple Tree

Filed under: General — m759 @ 11:30 am

http://www.log24.com/log/pix10/100104-Apple.jpg

Google has illuminated its search page today with a falling apple in honor of what it is pleased to call the birthday of Newton. (When Newton was born, the calendar showed it was Christmas Day, 1642; Google prefers to associate Sir Isaac with a later version of the calendar.)

Some related observations–

Adapted from a Log24 entry
of Monday, March 24, 2008–
 

 

"Hanging from the highest limb
of the apple tree are
     the three God's Eyes…"

    — Ken Kesey

"But what's beautiful can't be bad. You're not bad, North Wind?"

"No; I'm not bad. But sometimes beautiful things grow bad by doing bad, and it takes some time for their badness to spoil their beauty. So little boys may be mistaken if they go after things because they are beautiful."

"Well, I will go with you because you are beautiful and good, too."

"Ah, but there's another thing, Diamond:– What if I should look ugly without being bad– look ugly myself because I am making ugly things beautiful?– What then?"

"I don't quite understand you, North Wind. You tell me what then."

"Well, I will tell you. If you see me with my face all black, don't be frightened. If you see me flapping wings like a bat's, as big as the whole sky, don't be frightened. If you hear me raging ten times worse than Mrs. Bill, the blacksmith's wife– even if you see me looking in at people's windows like Mrs. Eve Dropper, the gardener's wife– you must believe that I am doing my work. Nay, Diamond, if I change into a serpent or a tiger, you must not let go your hold of me, for my hand will never change in yours if you keep a good hold. If you keep a hold, you will know who I am all the time, even when you look at me and can't see me the least like the North Wind. I may look something very awful. Do you understand?"

"Quite well," said little Diamond.

"Come along, then," said North Wind, and disappeared behind the mountain of hay.

Diamond crept out of bed and followed her.

    — George MacDonald,
      At the Back of the North Wind

   

From Log24 on Sunday, March 23, 2008–

 
A sequel to
The Crimson Passion

Easter Egg

Jill St. John with diamond

Click on image
 for further details.


Duality:


A pair of book covers in honor
  of the dies natalis of T. S. Eliot–

http://www.log24.com/log10/saved/100103-TheAristocrat_files/100104-Duality.jpg

From Virginia Woolf,  "Modern Fiction" (Ch. 13 in The Common Reader, First Series)

Woolf on what she calls "materialist" fiction–

Life escapes; and perhaps without life nothing else is worth while. It is a confession of vagueness to have to make use of such a figure as this, but we scarcely better the matter by speaking, as critics are prone to do, of reality. Admitting the vagueness which afflicts all criticism of novels, let us hazard the opinion that for us at this moment the form of fiction most in vogue more often misses than secures the thing we seek. Whether we call it life or spirit, truth or reality, this, the essential thing, has moved off, or on, and refuses to be contained any longer in such ill-fitting vestments as we provide. Nevertheless, we go on perseveringly, conscientiously, constructing our two and thirty chapters after a design which more and more ceases to resemble the vision in our minds. So much of the enormous labour of proving the solidity, the likeness to life, of the story is not merely labour thrown away but labour misplaced to the extent of obscuring and blotting out the light of the conception. The writer seems constrained, not by his own free will but by some powerful and unscrupulous tyrant who has him in thrall, to provide a plot, to provide comedy, tragedy, love interest, and an air of probability embalming the whole so impeccable that if all his figures were to come to life they would find themselves dressed down to the last button of their coats in the fashion of the hour. The tyrant is obeyed; the novel is done to a turn. But sometimes, more and more often as time goes by, we suspect a momentary doubt, a spasm of rebellion, as the pages fill themselves in the customary way. Is life like this? Must novels be like this?

Look within and life, it seems, is very far from being “like this”. Examine for a moment an ordinary mind on an ordinary day. The mind receives a myriad impressions—trivial, fantastic, evanescent, or engraved with the sharpness of steel. From all sides they come, an incessant shower of innumerable atoms; and as they fall, as they shape themselves into the life of Monday or Tuesday, the accent falls differently from of old; the moment of importance came not here but there; so that, if a writer were a free man and not a slave, if he could write what he chose, not what he must, if he could base his work upon his own feeling and not upon convention, there would be no plot, no comedy, no tragedy, no love interest or catastrophe in the accepted style, and perhaps not a single button sewn on as the Bond Street tailors would have it. Life is not a series of gig lamps symmetrically arranged; life is a luminous halo, a semi-transparent envelope surrounding us from the beginning of consciousness to the end. Is it not the task of the novelist to convey this varying, this unknown and uncircumscribed spirit, whatever aberration or complexity it may display, with as little mixture of the alien and external as possible? We are not pleading merely for courage and sincerity; we are suggesting that the proper stuff of fiction is a little other than custom would have us believe it.

It is, at any rate, in some such fashion as this that we seek to define the quality which distinguishes the work of several young writers, among whom Mr. James Joyce is the most notable….

Thursday, July 2, 2009

Thursday July 2, 2009

Filed under: General — m759 @ 9:29 pm
Meditation

on a joke by George Carlin,
a passage by Kierkegaard,
and the death on this date
12 years ago
of actor James Stewart

The Catholic Carlin:

“Thank you, Mr. Twain. Have your people call my people.” –George Carlin on learning he had won the Mark Twain award. Twain’s people were Protestant, Carlin’s Catholic.

The Protestant Kierkegaard:

“… the moment is not properly an atom of time but an atom of eternity. It is the first reflection of eternity in time, its first attempt, as it were, at stopping time….

Once here in Copenhagen there were two actors who probably never thought that their performance could have a deeper significance. They stepped forth onto the stage, placed themselves opposite each other, and then began the mimical representation of one or another passionate conflict. When the mimical act was in full swing and the spectators’ eyes followed the story with expectation of what was to follow, they suddenly stopped and remained motionless as though petrified in the mimical expression of the moment. The effect of this can he exceedingly comical, for the moment in an accidental way becomes commensurable with the eternal.”

Catholic tableau
(with Vivien Leigh
   representing the Church)
    of Salvation by Works

The cast of  'Streetcar Named Desire' in the radio scene

Protestant tableau
(with James Stewart
 as Protestant Pilgrim)
    of Salvation by Grace

Grace Kelly and James Stewart in 'Rear Window'

Click on either tableau
for a (much) larger image.

* Thanks to University Diaries for an entry on Clancy Martin, a philosophy professor in the “show me” state, and his experiences with AA. For a sample of Martin’s style, see a piece he wrote on Fabergé Easter eggs. For other Easter egg material, see this journal and (via a link) The Harvard Crimson, Easter 2008.  A valuable philosophical remark by Martin in a recent interview:

“An unscrupulous jeweler will swap diamonds for cheaper ones when jewelry is dropped off to be sized or repaired, he said.

‘It happens all the time,’ Martin said. ‘Nobody’s watching.'”

Sunday, March 23, 2008

Sunday March 23, 2008

Filed under: General — m759 @ 11:00 am
A sequel to
The Crimson Passion

Easter Egg

Jill St. John with diamond

Click on image
for further details.

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