Log24

Friday, September 30, 2016

Desmic Midrash

Filed under: General — Tags: , , — m759 @ 9:19 am

The author of the review in the previous post, Dara Horn, supplies
below a midrash on "desmic," a term derived from the Greek desmé
( δέσμη: bundle, sheaf , or, in the mathematical sense, pencil —
French faisceau ), which is related to the term desmos , bond …

(The term "desmic," as noted earlier, is relevant to the structure of
Heidegger's Sternwürfel .)

The Horn midrash —

(The "medieval philosopher" here is not the remembered pre-Christian
Ben Sirah (Ecclesiasticus ) but the philosopher being read — Maimonides:  
Guide for the Perplexed , 3:51.)

Here of course "that bond" may be interpreted as corresponding to the
Greek desmos  above, thus also to the desmic  structure of the
stellated octahedron, a sort of three-dimensional Star of David.

See "desmic" in this journal.

“Profound archaeological wells”

Filed under: General — m759 @ 8:30 am

From a review by Dara Horn of

Critics, Monsters, Fanatics, & Other Literary Essays
by Cynthia Ozick
Houghton Mifflin Harcourt, 224 pp., $25

" the credo that has emerged throughout her career:
against idolatry, yes, but also in favor of the particular,
context, rootedness, the profound archaeological wells
from which no writer can be removed without removing
his or her greatest powers.

For Ozick herself, that archaeological well is not only Anglo-
American literature, but the far deeper well of Judaism." 

— "Cynthia Ozick:  Or, Immortality,"
Jewish Review of Books , Fall 2016

See also Michener's The Source  in this journal.

Thursday, September 29, 2016

Articulation

Filed under: General — Tags: , , — m759 @ 10:30 pm

Cassirer vs. Heidegger at Harvard —

A remembrance for Michaelmas —

A version of Heidegger’s “Sternwürfel ” —

From Log24 on the upload date for the above figure —

Reading for Michaelmas 2016

Filed under: General — m759 @ 12:00 am

When Philosophy Mattered

A review of

Continental Divide :  Heidegger, Cassirer, Davos
By Peter E. Gordon
(Harvard University Press, 426 pp., $39.95)

The reviewer: David Nirenberg in The New Republic .
The review, dated January 13, 2011, ran in the
February 3, 2011, issue of the magazine.

Wednesday, September 28, 2016

Quotes for Michaelmas (2015)

Filed under: General — m759 @ 11:29 pm

For remarks by a non-fictional Harvard professor
see the previous post.

See also Jews Telling Stories.

Star Wars

Filed under: General — Tags: , , , — m759 @ 11:00 pm

See also in this journal "desmic," a term related
to the structure of Heidegger's Sternwürfel .

Scholia

Filed under: General — Tags: , — m759 @ 2:48 pm

Heidegger- 'The world's darkening never reaches to the light of being'

Scholia —

D. H. Lawrence quote from 'Kangaroo'

South Australia goes dark

Lexicon

Filed under: General — m759 @ 1:45 pm

Continued .

Logos

Filed under: General — m759 @ 4:00 am

From RIP, a post of Wednesday, March 16, 2016

See also earlier posts tagged Sermon Weekend.

From Balboa Press

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The power of symbols to sway us has been recognised throughout history. Found in caves and in Egyptian temples they are attributed with the strength to foretell and create the future, connect us with the divine and evoke emotions, from horror to ecstasy, at a glance.  The new symbols we imbue with these awesome powers are our favourite brand logos.

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Tuesday, September 27, 2016

Chomsky and Lévi-Strauss in China

Filed under: General,Geometry — Tags: , , , — m759 @ 7:31 am

Or:  Philosophy for Jews

From a New Yorker  weblog post dated Dec. 6, 2012 —

"Happy Birthday, Noam Chomsky" by Gary Marcus—

"… two titans facing off, with Chomsky, as ever,
defining the contest"

"Chomsky sees himself, correctly, as continuing
a conversation that goes back to Plato, especially
the Meno dialogue, in which a slave boy is
revealed by Socrates to know truths about
geometry that he hadn’t realized he knew."

Socrates and the slave boy discussed a rather elementary "truth
about geometry" — A diamond inscribed in a square has area 2
(and side the square root of 2) if the square itself has area 4
(and side 2).

Consider that not-particularly-deep structure from the Meno dialogue
in the light of the following…

The following analysis of the Meno diagram from yesterday's
post "The Embedding" contradicts the Lévi-Strauss dictum on
the impossibility of going beyond a simple binary opposition.
(The Chinese word taiji  denotes the fundamental concept in
Chinese philosophy that such a going-beyond is both useful
and possible.)

The matrix at left below represents the feminine yin  principle
and the diamond at right represents the masculine yang .

      From a post of Sept. 22,
"Binary Opposition Illustrated" —

A symbol of the unity of yin and yang —

Related material:

A much more sophisticated approach to the "deep structure" of the
Meno diagram —

The larger cases —

The diamond theorem

Monday, September 26, 2016

Myspace China …

Filed under: General — Tags: — m759 @ 12:00 pm

Revisited

The Embedding

Filed under: General — Tags: — m759 @ 10:45 am

From this morning's 3:33 AM ET post

Adapted from a post of Dec. 8, 2012, "Defining the Contest" —

      From a post of Sept. 22,
  "Binary Opposition Illustrated" —

From Sunday's news

Palmervision

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

Eleanor Arroway and Palmer Joss in the "Occam's Razor"
scene from the 1997 film "Contact"

Sunday, September 25, 2016

Introduction to Pragmatism

Filed under: General — Tags: , — m759 @ 7:29 am

Stanford Encyclopedia of Philosophy
on the origins of Pragmatism:

"Pragmatism had been born in the discussions at
a ‘metaphysical club’ in Harvard around 1870
(see Menand…*). Peirce and James participated
in these discussions along with some other philosophers
and philosophically inclined lawyers. As we have
already noted, Peirce developed these ideas in his
publications from the 1870s."

From "How to Make Our Ideas Clear,"
by Charles Sanders Peirce in 1878 —

"The very first lesson that we have a right to demand that logic shall teach us is, how to make our ideas clear; and a most important one it is, depreciated only by minds who stand in need of it. To know what we think, to be masters of our own meaning, will make a solid foundation for great and weighty thought. It is most easily learned by those whose ideas are meagre and restricted; and far happier they than such as wallow helplessly in a rich mud of conceptions. A nation, it is true, may, in the course of generations, overcome the disadvantage of an excessive wealth of language and its natural concomitant, a vast, unfathomable deep of ideas. We may see it in history, slowly perfecting its literary forms, sloughing at length its metaphysics, and, by virtue of the untirable patience which is often a compensation, attaining great excellence in every branch of mental acquirement. The page of history is not yet unrolled which is to tell us whether such a people will or will not in the long-run prevail over one whose ideas (like the words of their language) are few, but which possesses a wonderful mastery over those which it has. For an individual, however, there can be no question that a few clear ideas are worth more than many confused ones. A young man would hardly be persuaded to sacrifice the greater part of his thoughts to save the rest; and the muddled head is the least apt to see the necessity of such a sacrifice. Him we can usually only commiserate, as a person with a congenital defect. Time will help him, but intellectual maturity with regard to clearness comes rather late, an unfortunate arrangement of Nature, inasmuch as clearness is of less use to a man settled in life, whose errors have in great measure had their effect, than it would be to one whose path lies before him. It is terrible to see how a single unclear idea, a single formula without meaning, lurking in a young man's head, will sometimes act like an obstruction of inert matter in an artery, hindering the nutrition of the brain, and condemning its victim to pine away in the fullness of his intellectual vigor and in the midst of intellectual plenty. Many a man has cherished for years as his hobby some vague shadow of an idea, too meaningless to be positively false; he has, nevertheless, passionately loved it, has made it his companion by day and by night, and has given to it his strength and his life, leaving all other occupations for its sake, and in short has lived with it and for it, until it has become, as it were, flesh of his flesh and bone of his bone; and then he has waked up some bright morning to find it gone, clean vanished away like the beautiful Melusina of the fable, and the essence of his life gone with it. I have myself known such a man; and who can tell how many histories of circle-squarers, metaphysicians, astrologers, and what not, may not be told in the old German story?"

Peirce himself may or may not have been entirely successful
in making his ideas clear.  See Where Credit Is Due  (Log24, 
June 11, 2016) and the Wikipedia article Categories (Peirce).

* Menand, L., 2001. The Metaphysical Club A Story of
Ideas in America
 
, New York:  Farrar, Straus and Giroux

Saturday, September 24, 2016

The Seven Seals

Filed under: General,Geometry — Tags: , , — m759 @ 7:23 am

From Hermann Weyl's 1952 classic Symmetry —

"Galois' ideas, which for several decades remained
a book with seven seals  but later exerted a more
and more profound influence upon the whole
development of mathematics, are contained in
a farewell letter written to a friend on the eve of
his death, which he met in a silly duel at the age of
twenty-one. This letter, if judged by the novelty and
profundity of ideas it contains, is perhaps the most
substantial piece of writing in the whole literature
of mankind."

Some Galois geometry —

See the previous post for more narrative.

Core Structure

Filed under: General,Geometry — Tags: , — m759 @ 6:40 am

For the director of "Interstellar" and "Inception"

At the core of the 4x4x4 cube is …

 


                                                      Cover modified.

The Eightfold Cube

Friday, September 23, 2016

Screen Test

Filed under: General — Tags: — m759 @ 10:00 pm

Great Circle  is now available in a Kindle edition.

Annals of Scientism

Filed under: General — Tags: , — m759 @ 12:00 pm

Last night, Thursday, Sept. 22, 2016, at Harvard's Sanders Theatre,
the annual Ig Nobel prizes were awarded.

This journal earlier that day —

Related material —

Thursday, September 22, 2016

Near Zero

Filed under: General — m759 @ 1:00 pm

See "freeze the shifting phantasmagoria" in this journal.

Binary Opposition Illustrated

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

Click the above image for remarks on
"deep structure" and binary opposition.

See also the eightfold cube.

Equinox Note

Filed under: General — m759 @ 10:21 am

"The Genesis of an Icon:
The Taiji  Diagram's Early History
"
By François Louis
Harvard Journal of Asiatic Studies
Vol. 63, No. 1 (June 2003), pp. 145-196

See also "arrowy, still strings" in this journal.

Wednesday, September 21, 2016

Cork

Filed under: General — m759 @ 5:01 am

The phrase "binary opposition" in the previous post suggests
a review of some binary-related concepts —

Boole at Cork

From a post on St. Finbarr's Day 2015

From http://www.chosentwo.com/buffy/quotes/harvest.php

Buffy: So, Giles! Got anything that can make this day any worse?
Giles: How about the end of the world?
Buffy: Knew I could count on you.

Giles: This is what we know. Some sixty years ago, a very old, very powerful vampire came to this shore, not just to feed.
Buffy: He came 'cause this town's a mystical who's it.
Giles: Yes. The Spanish who first settled here called it 'Boca del Infierno'. Roughly translated, 'Hellmouth'. It's a sort of, um, portal between this reality and the next. This vampire hopes to open it.
Buffy: Bring the demons back.
Xander: End of the world.
Willow: But he blew it! Or, I mean, there was an earthquake that swallowed half the town, and him, too.
Giles: You see, opening dimensional portals is a tricky business. Odds are he got himself stuck, rather like a, uh, cork in a bottle.
Xander: And this Harvest thing is to get him out.

Tuesday, September 20, 2016

Savage Logic

Filed under: General,Geometry — m759 @ 9:29 pm

From "The Cerebral Savage," by Clifford Geertz —

(Encounter, Vol. 28 No. 4 (April 1967), pp. 25-32.)

From http://www.diamondspace.net/about.html

The diamond theorem

The Diamond Theorem …

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

As the Key to All Mythologies

For the theorem of the title, see "Diamond Theorem" in this journal.

"These were heavy impressions to struggle against,
and brought that melancholy embitterment which
is the consequence of all excessive claim: even his
religious faith wavered with his wavering trust in his
own authorship, and the consolations of the Christian
hope in immortality seemed to lean on the immortality
of the still unwritten Key to all Mythologies."

Middlemarch , by George Eliot, Ch. XXIX

Related material from Sunday's print New York Times

Sunday's Log24 sermon

See also the Lévi-Strauss "Key to all Mythologies" in this journal,
as well as the previous post.

Monday, September 19, 2016

Post-It Aesthetics

Filed under: General — m759 @ 11:07 pm

"And six sides to bounce it all off of."

Squaring the Pentagon

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

The "points" and "lines" of finite  geometry are abstract
entities satisfying only whatever incidence requirements
yield non-contradictory and interesting results. In finite
geometry, neither the points nor the lines are required to
lie within any Euclidean (or, for that matter, non-Euclidean)
space.

Models  of finite geometries may, however, embed the
points and lines within non -finite geometries in order
to aid visualization.

For instance, the 15 points and 35 lines of PG(3,2) may
be represented by subsets of a 4×4 array of dots, or squares,
located in the Euclidean plane. These "lines" are usually finite
subsets of dots or squares and not*  lines of the Euclidean plane.

Example — See "4×4" in this journal.

Some impose on configurations from finite geometry
the rather artificial requirement that both  points and lines
must be representable as those of a Euclidean plane.

Example:  A Cremona-Richmond pentagon —

Pentagon with pentagram

A square version of these 15 "points" —

A 1905 square version of these 15 "points" 
with digits instead of letters —

See Parametrizing the 4×4 Array
(Log24 post of Sept. 13, 2016).

Update of 8 AM ET Sunday, Sept. 25, 2016 —
For more illustrations, do a Google image search
on "the 2-subsets of a 6-set." (See one such search.)

* But in some models are subsets of the grid lines 
   that separate squares within an array.

Sunday, September 18, 2016

Sermon

Filed under: General — m759 @ 11:00 am

Saturday, September 17, 2016

Symmetry and Logic

Filed under: General — m759 @ 7:29 pm

"Symmetry, yes, but logic?"

Photo caption in the New York Times  review of the 2008 Albee play
      at Princeton titled "Me, Myself & I"    

Above: Albee rests on Wittgenstein.

Composition

Filed under: General — m759 @ 9:29 am

The late Edward Albee, as quoted today in The Telegraph :

“I tell my students, if you want to know something
about the structure of a play, listen to some Bach
preludes and fugues. I discovered classical music
when I was eight, nine, 10 years old, and I think
I learnt something about the nature of dramatic
structure from the nature of the music I was
listening to. I probably think of myself half the
time as a composer.”

See also  Box  as  Bach's.

Interior/Exterior

Filed under: General,Geometry — m759 @ 12:25 am


3x3x3 Galois cube, gray and white

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