Log24

Sunday, June 5, 2016

The Shining of May 29

Filed under: General — m759 @ 12:00 PM

Continues .

A death on May 29,  from The Fresno Bee —

See as well "La Diadema de la Muerte."

http://www.log24.com/log/pix12/120108-CardinalPreoccupied.jpg

"The Cardinal seemed a little preoccupied today."

Tuesday, May 29, 2012

The Shining of May 29

Filed under: General,Geometry — Tags: — m759 @ 1:00 PM

(Continued from May 29, 2002)

May 29, 1832—

http://www.log24.com/log/pix12A/120529-Galois-Signature-500w.jpg

Évariste Galois, Lettre de Galois à M. Auguste Chevalier

Après cela, il se trouvera, j'espère, des gens qui trouveront leur profit à déchiffrer tout ce gâchis.

(Later there will be, I hope, some people who will find it to their advantage to decipher all this mess.)

Martin Gardner on the above letter—

"Galois had written several articles on group theory, and was merely annotating and correcting those earlier published papers."

The Last Recreations , by Martin Gardner, published by Springer in 2007, page 156.

Commentary from Dec. 2011 on Gardner's word "published" —

(Click to enlarge.)

IMAGE- Peter M. Neumann, 'Galois and His Groups,' EMS Newsletter, Dec. 2011

Wednesday, February 13, 2019

April 18, 2003 (Good Friday), Continued

Filed under: General,Geometry — Tags: , — m759 @ 11:03 AM

"The purpose of mathematics cannot be derived from an activity 
inferior to it but from a higher sphere of human activity, namely,
religion."

Igor Shafarevitch, 1973 remark published as above in 1982.

"Perhaps."

— Steven H. Cullinane, February 13, 2019

From Log24 on Good Friday, April 18, 2003

. . . What, indeed, is truth?  I doubt that the best answer can be learned from either the Communist sympathizers of MIT or the “Red Mass” leftists of Georgetown.  For a better starting point than either of these institutions, see my note of April 6, 2001, Wag the Dogma.

See, too, In Principio Erat Verbum , which notes that “numbers go to heaven who know no more of God on earth than, as it were, of sun in forest gloom.”

Since today is the anniversary of the death of MIT mathematics professor Gian-Carlo Rota, an example of “sun in forest gloom” seems the best answer to Pilate’s question on this holy day.  See

The Shining of May 29.

“Examples are the stained glass windows
of knowledge.” — Vladimir Nabokov

AGEOMETRETOS MEDEIS EISITO

Motto of Plato’s Academy


 The Exorcist, 1973

Detail from an image linked to in the above footnote —

"And the darkness comprehended it not."

Id est :

A Good Friday, 2003, article by 
a student of Shafarevitch

" there are 25 planes in W . . . . Of course,
replacing {a,b,c} by the complementary set
does not change the plane. . . ."

Of course.

See. however, Six-Set Geometry in this  journal.

Wednesday, March 29, 2017

Design Abyss

Filed under: General — Tags: , — m759 @ 1:00 PM


http://www.log24.com/images/IChing/hexagram29.gif  
Hexagram 29,
The Abyss (Water)

This post was suggested by an August 6, 2010, post by the designer
(in summer or fall, 2010) of the Stack Exchange math logo (see
the previous Log24 post, Art Space Illustrated) —

http://www.8164.org/☵☲/  .

In that post, the designer quotes the Wilhelm/Baynes I Ching  to explain
his choice of Hexagram 63, Water Over Fire, as a personal icon —

"When water in a kettle hangs over fire, the two elements
stand in relation and thus generate energy (cf. the
production of steam). But the resulting tension demands
caution. If the water boils over, the fire is extinguished
and its energy is lost. If the heat is too great, the water
evaporates into the air. These elements here brought in
to relation and thus generating energy are by nature
hostile to each other. Only the most extreme caution
can prevent damage."

See also this  journal on Walpurgisnacht (April 30), 2010 —

http://www.log24.com/images/IChing/hexagram29.gif

Hexagram 29:
Water

http://www.log24.com/log/pix10A/100430-Commentary.jpg

http://www.log24.com/images/IChing/hexagram30.gif

Hexagram 30:
Fire

"Hates California,
it's cold and it's damp.
"

Image--'The Fire,' by Katherine Neville

A thought from another German-speaking philosopher

"Die Philosophie ist ein Kampf gegen die Verhexung
unsres Verstandes durch die Mittel unserer Sprache."

See also The Crimson 's abyss in today's 4:35 AM post Art Space, Continued.

Thursday, March 2, 2017

Review

Filed under: General — m759 @ 3:00 AM

From a 2002 note, "The Shining of May 29" —

Related material:  The remarks in this journal on April 1, 2013.

Tuesday, August 5, 2014

Verhexung

Filed under: General — Tags: — m759 @ 8:15 PM

"Philosophy is a battle against the bewitchment [Verhexung ]
of our intelligence by means of our language."

— Wittgenstein, Philosophical Investigations , Section 109

"The philosophy of logic speaks of sentences and words
in exactly the sense in which we speak of them in ordinary life
when we say e.g. 'Here is a Chinese sentence,' or 'No, that only
looks like writing; it is actually just an ornament' and so on."

— Wittgenstein, Philosophical Investigations , Section 108

Monday, June 30, 2014

High Concept

Tags:  — m759 @ 5:24 PM

For the title, see a post of Nov. 4, 2007.

Related material:

Hexagram 29, Water, and a pattern resembling
the symbol for Aquarius:

http://www.log24.com/images/IChing/hexagram29.gif          .

For some backstory about the former,
see the June 21 post Hallmark.

For some backstory about the latter,
see today’s post Toward Evening.

Tom Wolfe has supplied some scaffolding*
to support the concept.

* A reference to Grossman and Descartes.

Monday, June 30, 2014

High Concept

Filed under: General — Tags: , — m759 @ 5:24 PM

For the title, see a post of Nov. 4, 2007.

Related material:

Hexagram 29, Water, and a pattern resembling
the symbol for Aquarius:

http://www.log24.com/images/IChing/hexagram29.gif          .

For some backstory about the former,
see the June 21 post Hallmark.

For some backstory about the latter,
see today’s post Toward Evening.

Tom Wolfe has supplied some scaffolding*
to support the concept.

* A reference to Grossman and Descartes.

Saturday, June 21, 2014

Hallmark

Filed under: General — Tags: , — m759 @ 5:01 PM

A suitable hallmark for
the previous post, Logical Death:

29

http://www.log24.com/images/IChing/hexagram29.gif

Hexagram 29: “K’an represents…
the principle of light inclosed in the dark.”
— The Richard Wilhelm I Ching

A related page from Stanford:

IMAGE- Page 29 of 'Radical Atheism,' by Martin Hägglund, Stanford U. Press, 2008

Friday, May 30, 2014

Matching Theory

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

Some mathematical background for yesterday’s
remarks “For the Bregnans” and “Lost in Translation“—

Matching Theory: A Sampler, from Dénes König
to the Present
,” by Michael D. Plummer, 1991.

See also Matching Theory  by Plummer and Lovász.

Thursday, May 29, 2014

Lost in Translation

Filed under: General — Tags: , — m759 @ 1:45 PM

IMAGE- Original French of text from 'The Shining of May 29'

Translation by Barbara Johnson:

"The minimum number of rows— lines or columns—
that contain all the zeros in a matrix is equal to
the maximum number of zeros
located in any individual line or column ."

In the original:

"situés sur des lignes ou des colonnes distinctes "

Update of 11:30 PM ET May 29, 2014:

Derrida in 1972 was quoting Philippe Sollers, Nombres
(Paris: Éditions du Seuil , 1968).  Sollers in turn was
perhaps quoting A. Kaufmann, Méthodes et Modèles
de la Recherche Opérationnelle , Paris, Dunod , 1964,
L'Économie d'Entreprise 10 , vol. 2, page 305:

"Le nombre minimal de rangées
(lignes et/ou colonnes) contenant
tous les zéros d'une matrice, est égal
au nombre maximal de zéros
situés 
sur des lignes et des colonnes distinctes."

For the Bregnans*

Filed under: General — Tags: — m759 @ 2:25 AM

The Shining of May 29

The original note and references to it here.

* As opposed to the Monicans . See previous post.

Thursday, February 2, 2012

Die Lichtung

Filed under: General — Tags: — m759 @ 11:30 AM

See January 4th, 2012.

(This link resulted from an application of Heidegger's
philosophy of "the opening" and "the shining" (Die Lichtung ).)

See also The Shining of May 29.

Update of 12:19 AM Feb. 3, 2012—
The undated (but cached by Google on January 4th, 2012)
unsigned post from a deleted weblog linked to above as
"an application" is also available in a version that is signed
(but still undated).

Monday, May 30, 2011

Darkness at Noon

Filed under: General — m759 @ 12:00 PM

A Meditation on the NY Lottery of May 29

Yesterday's NY Lottery— Midday 981, Evening 275.

As noted in yesterday  morning's linked-to post,
The Shining of May 29

"By groping toward the light we are made to realize
how deep the darkness is around us."
— Arthur Koestler, The Call Girls: A Tragi-Comedy ,
Random House, 1973, page 118

One interpretation of the mystic numbers revealed by the Lottery yesterday—

981 as the final page* of David Foster Wallace's famed novel Infinite Jest

http://www.log24.com/log/pix11A/110529-InfiniteJest981.gif

275 as a page in Wallace's non-fiction book about infinity Everything and More

http://www.log24.com/log/pix11A/110529-DFW-Godel275.gif
  Gregory Chaitin points out that this is nonsense …

IMAGE- Gregory Chaitin on David Foster Wallace

As noted elsewhere in this journal, I have a different concept of "math's absolute
Prince of Darkness"— and, indeed, of a "quest for Omega." (See posts of May 2010.)

Yesterday's numbers indicate a different struggle between darkness and light—

Light —

IMAGE- Rebecca Goldstein's book on Godel- 'Incompleteness'

Darkness —

IMAGE- David Foster Wallace's novel 'Infinite Jest'

* From infinitesummer.org/archives/168 — "A note about editions:
As it turns out, all (physical) editions of Infinite  Jest  have 981 pages:
the one from 1996, the one from 2004, the paperback, the hardcover, etc.
A big thank you to the men and women in the publishing industry who
were kind and/or lazy enough to keep things consistent."

Sunday, May 29, 2011

Sunday School

Filed under: General — m759 @ 9:00 AM

"You think you've seen the sun but you ain't seen it shine."

— "The Best Is Yet to Come," lyrics by Carolyn Leigh, music by Cy Coleman

Related material— The Shining of May 29.

Monday, May 17, 2010

Rolling the Stone

Filed under: General,Geometry — m759 @ 10:12 PM

A new NY Times column:

http://www.log24.com/log/pix10A/100517-NYT-Stone.jpg

Today's New York Times
re-edited for philosophers:

http://www.log24.com/log/pix10A/100517-JonesClue.jpg

See also

Eightfold Symmetry,

John Baez's paper
Duality in Logic and Physics
(for a May 29 meeting at Oxford),

The Shining of May 29, and

Lubtchansky's Key, with its links
to Duelle (French, f. adj., dual)
and Art Wars for Trotsky's Birthday.

Tuesday, December 2, 2008

Tuesday December 2, 2008

Filed under: General — m759 @ 11:09 AM
Smiley

A Penny for My Thoughts?
by Maureen Dowd

“If an online newspaper in Pasadena, Calif., can outsource coverage to India, I wonder how long can it be before some guy in Bangalore is writing my column….”

New York Times teaser for a column of Sunday, November 30, 2008 (St. Andrew’s Day)

DH News Service, Bangalore, Tuesday, Dec. 2, 2008:

“Monday evening had a pleasant surprise in store for sky-watchers as the night sky sported a smiley, in the form of a crescent moon flanked by two bright planets Jupiter and Venus…”

Meanwhile, at National Geographic:

Jupiter, Venus, Moon Make “Frown”

A Midrash for Maureen:

The poet’s eye, in fine frenzy rolling,
Doth glance from heaven to earth,
    from earth to heaven;

And as imagination bodies forth
The forms of things unknown,
    the poet’s pen

Turns them to shapes
    and gives to airy nothing

A local habitation and a name.
Such tricks hath strong imagination,
That if it would but
    apprehend some joy,

It comprehends some
    bringer of that joy….”

Related material on Pasadena:
Happy birthday, R. P. Dilworth.

Related material on India:
The Shining of May 29 (2002) and
A Well-Known Theorem (2005).

“Sometimes a line of mathematical research extending through decades can be thought of as one long conversation in which many mathematicians take part. This is fortunately true at present….”

— Barry Mazur in 2000 as quoted today at the University of St. Andrews

Friday, April 18, 2008

Friday April 18, 2008

Filed under: General — m759 @ 9:00 AM
In memory of
Gian-Carlo Rota,
mathematician, who died
at 66 on this date in 1999

“Numbers go to heaven
who know no more
of God on earth than,
as it were,
of sun in forest gloom.”

— Meister Eckhart,
In Principio Erat Verbum

Related material:

The Shining of May 29,

 yesterday’s entry, and

Against Reductionism
.

Thursday, November 9, 2006

Thursday November 9, 2006

Filed under: General — m759 @ 3:00 AM

Hour of the Wolf

Today is Schicksalstag, the “day of fate” in German history.

This entry’s time slot, 3:00 AM ET– which some say is the beginning of “the hour of the wolf*”– was reserved earlier for some entry appropriate to the day. (Actual time of this entry: about 12:48 PM ET).

Markus Wolf,
East German Spymaster,
Dies at 83

By THE ASSOCIATED PRESS

Published: Thursday, Nov. 9, 2006

Filed at 11:16 a.m. ET

BERLIN (AP) — Markus Wolf, the ”man without a face” who outwitted the West as communist East Germany’s long-serving spymaster, died Thursday [Nov. 9, 2006]. He was 83.

Wolf died in his apartment in Berlin, his stepdaughter Claudia Wall said in a statement. The cause of his death, on the 17th anniversary of the fall of the Berlin Wall, was not released.


Related material
from Aug. 6, 2006:

 Game Boy

 

The image “http://www.log24.com/log/pix06A/060806-Einsatz.jpg” cannot be displayed, because it contains errors.
 
Click on picture for details.
Nine is a very
powerful Nordic number
.”
— Katherine Neville

 
to put one’s back
into something
bei etwas
Einsatz zeigen
to up the ante
den Einsatz erhöhen
to debrief den Einsatz
nachher besprechen
to be on duty
im Einsatz sein
mil.to be in action im Einsatz sein
to play for
high stakes
mit hohem
Einsatz spielen

* “Wolf” — See the etymological notes
in The Shining of May 29.

Thursday, October 26, 2006

Thursday October 26, 2006

Filed under: General — m759 @ 12:00 PM
Hardy & Wright 
The image “http://www.log24.com/log/pix06A/061025-Wright.jpg” cannot be displayed, because it contains errors.

“When he was taken to church
he amused himself by factorizing
the numbers of the hymns.”

— C. P. Snow, foreword to
A Mathematician’s Apology,
by G. H. Hardy

An application of
lottery hermeneutics:

420 –> 4/20 –>

Hall of Shame,
Easter Sunday,
April 20, 2003;

145 –> 5*29 –> 5/29 –>

The Shining of May 29.

The Rev. Wright may also
be interested in the following

Related material:

“Shem was a sham….”
(FW I.7, 170 and Log24 Oct. 13),
and The Hebrew Word Shem:

“When I teach introductory Hebrew, the first word I typically teach is the common noun SHEM. It’s pronounced exactly like our English word ‘shame,’ means almost exactly the opposite, and seems to me to be a key….” — Glen Penton

This word occurs, notably, in Psalm (or “hymn”) 145.

See http://scripturetext.com/psalms/145-1.htm:

thy name
shem  (shame)
an appellation, as a mark or memorial of individuality; by implication honor, authority, character — + base, (in-)fame(-ous), named(-d), renown, report.

Update of 12:25 PM 10/26
from the online Crimson:


Related material:
The Crimson Passion

Saturday, October 14, 2006

Saturday October 14, 2006

Filed under: General — m759 @ 7:00 PM
The Line
 
Continued
from Aug. 15, 2004:

Robert M. Pirsig, Zen and the Art of Motorcycle Maintenance, Part III:

“The wave of crystallization rolled ahead. He was seeing two worlds, simultaneously. On the intellectual side, the square side, he saw now that Quality was a cleavage term. What every intellectual analyst looks for. You take your analytic knife, put the point directly on the term Quality and just tap, not hard, gently, and the whole world splits, cleaves, right in two…

The Line,
by S. H. Cullinane

hip and square, classic and romantic, technological and humanistic…and the split is clean. There’s no mess. No slop. No little items that could be one way or the other. Not just a skilled break but a very lucky break. Sometimes the best analysts, working with the most obvious lines of cleavage, can tap and get nothing but a pile of trash. And yet here was Quality; a tiny, almost unnoticeable fault line; a line of illogic in our concept of the universe; and you tapped it, and the whole universe came apart, so neatly it was almost unbelievable. He wished Kant were alive. Kant would have appreciated it. That master diamond cutter. He would see. Hold Quality undefined. That was the secret.”

The image “http://www.log24.com/log/pix06A/061014-Kant.gif” cannot be displayed, because it contains errors.

See also the discussion of
subjective and objective
by Robert M. Pirsig in
Zen and the Art of
Motorcycle Maintenance
,
Part III,
followed by this dialogue:

Are We There Yet?

Chris shouts, “When are we
going to get to the top?”

“Probably quite a way yet,”
I reply.

“Will we see a lot?”

“I think so. Look for blue sky
between the trees. As long as we
can’t see sky we know it’s a way yet.
The light will come through the trees
when we round the top.”

Related material:

The Boys from Uruguay,
Lichtung!,
The Shining of May 29,
A Guiding Philosophy,
Ticket Home.

The philosophy of Heidegger
discussed and illustrated
in the above entries may
be regarded as honoring
today’s 100th anniversary
of the birth of Heidegger’s
girlfriend, Hannah Arendt.

See also

 Hannah and Martin
and
Snowblind.

Wednesday, October 11, 2006

Wednesday October 11, 2006

Filed under: General — m759 @ 11:07 AM
Ticket Home

  

Yesterday’s Pennsylvania
Lottery numbers:

Mid-day 266
Evening 529

Related material:

The 266-Day Method

and

The Shining of May 29

(Wednesday, May 29, 2002)

Commentary on Hexagram 29:
“K’an represents…
the principle of light
inclosed in the dark.”

— Richard Wilhelm,
Translation of the I Ching

“How do we explain
the mathematical
if not by mathematics?”

  — Rhetorical question 
of Martin Heidegger

(Page 273 of Heidegger’s
Basic Writings,
edited by David Farrell Krell,
Harper Collins paperback, 1993)

Wednesday, September 6, 2006

Wednesday September 6, 2006

Filed under: General — m759 @ 4:00 AM
Bad Dreams

Happy birthday, Robert M. Pirsig.

Readings for the hour of the wolf:

  1. The Shining of May 29 (2002) and
  2. For John F. Kennedy’s Birthday (2006).

Yesterday was Arthur Koestler’s birthday.

 “By groping toward the light
we are made to realize
how deep the darkness is
around us.”

— Arthur Koestler,
The Call Girls: A Tragi-Comedy,
Random House, 1973, page 118

Monday, May 29, 2006

Monday May 29, 2006

Filed under: General — m759 @ 3:00 PM

For John F. Kennedy’s birthday:

The Call Girls
Revisited

The image “http://www.log24.com/log/pix06A/060529-CallGirls.jpg” cannot be displayed, because it contains errors.

See The Shining of May 29
from 2002
and the references to
the marriage theorem
in Dharwadker’s Alleged Proof
from 2005.

“By groping toward the light
we are made to realize
how deep the darkness is
around us.”

— Arthur Koestler,
The Call Girls: A Tragi-Comedy,
Random House, 1973, page 118

For related material on
academic darkness, see
Mathematics and Narrative.

Thursday, February 23, 2006

Thursday February 23, 2006

Filed under: General,Geometry — m759 @ 1:06 PM
Cubist Epiphany

4x4x4 cube

“In The Painted Word, a rumination on the state of American painting in the 1970s, Tom Wolfe described an epiphany….”

Peter Berkowitz, “Literature in Theory”

“I had an epiphany.”

— Apostolos Doxiadis, organizer of last summer’s conference on mathematics and narrative.  See the Log24 entry of 1:06 PM last August 23 and the four entries that preceded it.

“… das Durchleuchten des ewigen Glanzes des ‘Einen’ durch die materielle Erscheinung

A definition of beauty from Plotinus, via Werner Heisenberg

“By groping toward the light we are made to realize how deep the darkness is around us.”

— Arthur Koestler, The Call Girls: A Tragi-Comedy, Random House, 1973, page 118, quoted in The Shining of May 29

“Perhaps we are meant to see the story as a cubist retelling of the crucifixion….”

— Adam White Scoville, quoted in Cubist Crucifixion, on Iain Pears’s novel, An Instance of the Fingerpost

Related material:

Log24 entries of
Feb. 20, 21, and 22.

Thursday, August 18, 2005

Thursday August 18, 2005

Filed under: General — m759 @ 12:48 AM
Sermon for
World Youth Day
 

(Cologne, Aug. 16-21, 2005)

“And the light shineth in darkness;
and the darkness comprehended it not.”
— The Gospel according to St. John,
Chapter 1, Verse 5 

Part I: The Light

The Shining of May 29
and
Diamond Theory

Part II: The Darkness

Mathematics and Narrative
and
Reply to My Fan Mail

Friday, May 20, 2005

Friday May 20, 2005

Filed under: General — Tags: , — m759 @ 1:20 PM

The Shining of Apollo

"Plato's most significant passage may be found in Phaedrus 265b: 'And we made four divisions of the divine madness, ascribing them to four gods, saying that prophecy was inspired by Apollo, the mystic madness by Dionysos, the poetic by the Muses, and the madness of love […] by Aphrodite and Eros' (trans. by H.N. Fowler, in the Loeb Classical Library)."

Saverio Marchignoli, note on section 20, paragraphs 115-119, of the Discourse on the Dignity of Man (Oratio de hominis dignitate) (1486) by Pico della Mirandola, considered the "Manifesto of the Renaissance."

Related material:
A Mass for Lucero,
The Shining of May 29,
Shining Forth,
Sermon for St. Patrick's Day, and the phrase
Diamond Struck by the Sun.

Tuesday, March 22, 2005

Tuesday March 22, 2005

Filed under: General,Geometry — Tags: , , — m759 @ 4:01 PM

Make a Différance

From Frida Saal's
Lacan The image “http://www.log24.com/log/pix05/050322-Diamond.gif” cannot be displayed, because it contains errors. Derrida:

"Our proposal includes the lozenge (diamond) in between the names, because in the relationship / non-relationship that is established among them, a tension is created that implies simultaneously a union and a disjunction, in the perspective of a theoretical encounter that is at the same time necessary and impossible. That is the meaning of the lozenge that joins and separates the two proper names. For that reason their respective works become totally non-superposable and at the same time they were built with an awareness, or at least a partial awareness, of each other. What prevails between both of them is the différance, the Derridean signifier that will become one of the main issues in this presentation."

 


From a Contemporary Literary Theory website:

"Différance is that which all signs have, what constitutes them as signs, as signs are not that to which they refer: i) they differ, and hence open a space from that which they represent, and ii) they defer, and hence open up a temporal chain, or, participate in temporality. As well, following de Sassure's famous argument, signs 'mean' by differing from other signs. The coined word 'différance' refers to at once the differing and the deferring of signs. Taken to the ontological level†, the differing and deferring of signs from what they mean, means that every sign repeats the creation of space and time; and ultimately, that différance is the ultimate phenomenon in the universe, an operation that is not an operation, both active and passive, that which enables and results from Being itself."

From a text purchased on
Make a Difference Day, Oct. 23, 1999:

The image “http://www.log24.com/log/pix05/050322-Fig39.gif” cannot be displayed, because it contains errors.22. Without using the Pythagorean Theorem prove that the hypotenuse of  an isosceles right triangle will have the length The image “http://www.log24.com/log/pix05/050322-Sqtr2.gif” cannot be displayed, because it contains errors.  if the equal legs have the length 1.  Suggestion: Consider the similar triangles in Fig. 39.
23.  The ancient Greeks regarded the Pythagorean Theorem as involving areas, and they proved it by means of areas.  We cannot do so now because we have not yet considered the idea of area.  Assuming for the moment, however, the idea of the area of a square, use this idea instead of similar triangles and proportion in Ex. 22 above to show that x = The image “http://www.log24.com/log/pix05/050322-Sqtr2.gif” cannot be displayed, because it contains errors. .

 

— Page 98 of Basic Geometry, by George David Birkhoff, Professor of Mathematics at Harvard University, and Ralph Beatley, Associate Professor of Education at Harvard University (Scott, Foresman 1941)



Though it may be true, as the president of Harvard recently surmised, that women are inherently inferior to men at abstract thought — in particular, pure mathematics*  — they may in other respects be quite superior to men:

The image “http://www.log24.com/log/pix05/050322-Reba2.jpg” cannot be displayed, because it contains errors.

The above is from October 1999.
See also Naturalized Epistemology,
from Women's History Month, 2001.

* See the remarks of Frida Saal above and of Barbara Johnson on mathematics (The Shining of May 29, cited in Readings for St. Patrick's Day).


† For the diamond symbol at "the ontological level," see Modal Theology, Feb. 21, 2005.  See also Socrates on the immortality of the soul in Plato's Meno, source of the above Basic Geometry diamond.

Thursday, March 17, 2005

Thursday March 17, 2005

Filed under: General — m759 @ 12:00 PM

Readings for
St. Patrick’s Day

Time of this entry: 12:00:36 PM.

Hence,

  1. A commentary on “Darkening of the Light,” the I Ching, Hexagram 36:
  2. “Here the climax of the darkening is reached. The dark power at first held so high a place that it could wound all who were on the side of good and of the light. But in the end it perishes of its own darkness, for evil must itself fall at the very moment when it has wholly overcome the good, and thus consumed the energy to which it owed its duration.”

  3. Darkness at Noon, by Arthur Koestler

  4. Under Western Eyes, by Joseph Conrad
  5. Narrativity: Theory and Practice, by Philip John Moore Sturgess

    Sturgess’s book deals with the narrative logic of the above novels by Koestler and Conrad, as well as some Irish material:

    Narrativity: Theory and Practice
    TABLE OF CONTENTS
    Pt. I The Theory of Narrativity
    Introduction 3
    1 Narrativity and its Definitions 5
    2 A Logic of Narrativity 28
    3 Narrativity and Double Logics 68
    4 Narrativity and the Case against Contradiction 93
    5 Narrativity, Structure, and Spatial Form 117
    6 Narrativity and the French Perspective 139
    Pt. II The Practice of Narrativity
    Introduction 161
    7 The Logic of Duplicity and Design in Under Western Eyes 166
    8 A Story of Narrativity in Ulysses 189
    9 Narrative Despotism and Metafictional Mastery: The Case of Flann O’Brien’s At Swim-Two-Birds 235
    10 A Double Logic and the Nightmare of Reason: Arthur Koestler’s Darkness at Noon 260
    Conclusion. A Reading of Maria Edgeworth’s Castle Rackrent 287
    Bibliography and Further Reading 312
    Index 317

These readings are in opposition to the works of Barbara Johnson published by Harvard University Press.

For some background, see The Shining of May 29 (JFK’s birthday).

Discussion question:
In the previous entry, who represents the
Hexagram 36 “dark power” Matory or Summers?

Wednesday, March 31, 2004

Wednesday March 31, 2004

Filed under: General — Tags: — m759 @ 2:18 AM

Literary Archaeology

“Mrs. Who’s spectacles shone out
at them triumphantly,
‘And the light shineth in darkness;
and the darkness
comprehended it not.’ ”
A Wrinkle in Time

See, too,

Shining Forth and

 The Shining of May 29.

Friday, July 25, 2003

Friday July 25, 2003

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

Realism in Literature:
Under the Volcano

Mexican Volcano Blast
Scares Residents

By THE ASSOCIATED PRESS

Filed at 11:13 p.m. EDT Friday, July 25, 2003

PUEBLA, Mexico (AP) — Mexico’s Popocatepetl volcano shot glowing rock and ash high into the air Friday night, triggering a thunderous explosion that panicked some residents in nearby communities.

Here are 3 webcam views of the volcano.   Nothing to see at the moment.

Literary background:

Malcolm Lowry’s Under the Volcano,

Plato, Pegasus, and the Evening Star,

A Mass for Lucero,

Shining Forth,

and, as background for today’s earlier entry on Platonism and Derrida,

The Shining of May 29.

Vignette

For more on Plato and Christian theology, consult the highly emotional site

Further Into the Depths of Satan:

“…in The Last Battle on page 170 [C. S.] Lewis has Digory saying, ‘It’s all in Plato, all in Plato.’ Now, Lewis calls Plato ‘an overwhelming theological genius’ (Reflections on the Psalms, p. 80)….”

The title “Further Into the Depths of Satan,” along with the volcano readings above, suggests a reading from a related site:

Gollum and the Mystery of Evil:

“Gollum here clearly represents Frodo’s hidden self. It is ‘as if we are witnessing the darkest night of the soul and one side attempting to master the other’ (Jane Chance 102). Then Frodo, whose finger has been bitten off, cries out, and Gollum holds the Ring aloft, shrieking: ‘Precious, precious, precious! My Precious! O my Precious!’ (RK, VI, 249). At this point, stepping too near the edge, he falls into the volcano, taking the Ring with him. With this, the mountain shakes.’ “

In the above two-step vignette, the part of Gollum is played by the author of “Further Into the Depths of Satan,” who called  C. S. Lewis a fool “that was and is extremely useful to his father the devil.”

See Matthew 5:22: “…whosoever shall say, Thou fool, shall be in danger of hell fire.” 

Friday, April 18, 2003

Friday April 18, 2003

Filed under: General,Geometry — m759 @ 1:17 PM

To the Society of Jesus (also known as the Jesuits):

Have a Good Friday, Traitors

Prompted by Pilate’s question “What is truth?” and by my March 24 attack on Noam Chomsky, I decided this afternoon to further investigate what various people have written about Chomsky’s posing of what he calls “Plato’s problem” and “Orwell’s problem.”  The former concerns linguistics, the latter, politics.  As my March 24 entry indicates, I have nothing but contempt for both Chomsky’s linguistics and Chomsky’s politics.  What I discovered this afternoon is that Georgetown University, a Jesuit institution, in 2001 appointed a Chomskyite, David W. Lightfoot, as Dean of the Graduate School of Arts and Sciences.

“Why do we know so much more than we have evidence for in certain areas, and so much less in others? In tackling these questions — Plato’s and Orwell’s problem — Chomsky again demonstrates his unequalled capacity to integrate vast amounts of material.” — David W. Lightfoot, review of Chomsky’s Knowledge of Language

What, indeed, is truth?  I doubt that the best answer can be learned from either the Communist sympathizers of MIT or the “Red Mass” leftists of Georgetown.  For a better starting point than either of these institutions, see my note of April 6, 2001, Wag the Dogma.

See, too, In Principio Erat Verbum, which notes that “numbers go to heaven who know no more of God on earth than, as it were, of sun in forest gloom.”

Since today is the anniversary of the death of MIT mathematics professor Gian-Carlo Rota, an example of “sun in forest gloom” seems the best answer to Pilate’s question on this holy day.  See

The Shining of May 29.

“Examples are the stained glass windows of knowledge.” — Vladimir Nabokov

AGEOMETRETOS MEDEIS EISITO

Motto of Plato’s Academy


The Exorcist, 1973

Thursday, December 5, 2002

Thursday December 5, 2002

Filed under: General — m759 @ 3:00 PM

For Otto Preminger’s birthday:

Lichtung!

Today’s symbol-mongering (see my Sept. 7, 2002, note The Boys from Uruguay) involves two illustrations from the website of the Deutsche Schule Montevideo, in Uruguay.  The first, a follow-up to Wallace Stevens’s remarks on poetry and painting in my note “Sacerdotal Jargon” of earlier today, is a poem, “Lichtung,” by Ernst Jandl, with an illustration by Lucia Spangenberg.

Lichtung

manche meinen
lechts und rinks
kann man nicht
velwechsern.
werch ein illtum!

by Ernst Jandl

Lucia Spangenberg, 2002.

The second, from the same school, illustrates the meaning of “Lichtung” explained in my note The Shining of May 29:  

“We acknowledge a theorem’s beauty when we see how the theorem ‘fits’ in its place, how it sheds light around itself, like a Lichtung, a clearing in the woods.”
— Gian-Carlo Rota, page 132 of Indiscrete Thoughts, Birkhauser Boston, 1997

From the Deutsche Schule Montevideo mathematics page, an illustration of the Pythagorean theorem:

Braucht´s noch Text?

Friday, November 29, 2002

Friday November 29, 2002

Filed under: General,Geometry — Tags: — m759 @ 1:06 PM

A Logocentric Archetype

Today we examine the relativist, nominalist, leftist, nihilist, despairing, depressing, absurd, and abominable work of Samuel Beckett, darling of the postmodernists.

One lens through which to view Beckett is an essay by Jennifer Martin, "Beckettian Drama as Protest: A Postmodern Examination of the 'Delogocentering' of Language." Martin begins her essay with two quotations: one from the contemptible French twerp Jacques Derrida, and one from Beckett's masterpiece of stupidity, Molloy. For a logocentric deconstruction of Derrida, see my note, "The Shining of May 29," which demonstrates how Derrida attempts to convert a rather important mathematical result to his brand of nauseating and pretentious nonsense, and of course gets it wrong. For a logocentric deconstruction of Molloy, consider the following passage:

"I took advantage of being at the seaside to lay in a store of sucking-stones. They were pebbles but I call them stones…. I distributed them equally among my four pockets, and sucked them turn and turn about. This raised a problem which I first solved in the following way. I had say sixteen stones, four in each of my four pockets these being the two pockets of my trousers and the two pockets of my greatcoat. Taking a stone from the right pocket of my greatcoat, and putting it in my mouth, I replaced it in the right pocket of my greatcoat by a stone from the right pocket of my trousers, which I replaced by a stone from the left pocket of my trousers, which I replaced by a stone from the left pocket of my greatcoat, which I replaced by the stone which was in my mouth, as soon as I had finished sucking it. Thus there were still four stones in each of my four pockets, but not quite the same stones….But this solution did not satisfy me fully. For it did not escape me that, by an extraordinary hazard, the four stones circulating thus might always be the same four."

Beckett is describing, in great detail, how a damned moron might approach the extraordinarily beautiful mathematical discipline known as group theory, founded by the French anticleric and leftist Evariste Galois. Disciples of Derrida may play at mimicking the politics of Galois, but will never come close to imitating his genius. For a worthwhile discussion of permutation groups acting on a set of 16 elements, see R. D. Carmichael's masterly work, Introduction to the Theory of Groups of Finite Order, Ginn, Boston, 1937, reprinted by Dover, New York, 1956.

There are at least two ways of approaching permutations on 16 elements in what Pascal calls "l'esprit géométrique." My website Diamond Theory discusses the action of the affine group in a four-dimensional finite geometry of 16 points. For a four-dimensional euclidean hypercube, or tesseract, with 16 vertices, see the highly logocentric movable illustration by Harry J. Smith. The concept of a tesseract was made famous, though seen through a glass darkly, by the Christian writer Madeleine L'Engle in her novel for children and young adults, A Wrinkle in Tme.

This tesseract may serve as an archetype for what Pascal, Simone Weil (see my earlier notes), Harry J. Smith, and Madeleine L'Engle might, borrowing their enemies' language, call their "logocentric" philosophy.

For a more literary antidote to postmodernist nihilism, see Archetypal Theory and Criticism, by Glen R. Gill.

For a discussion of the full range of meaning of the word "logos," which has rational as well as religious connotations, click here.

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