Log24

Monday, September 30, 2013

Interview with Josefine Lyche

Filed under: General — m759 @ 10:00 pm

For those who understand spoken Norwegian.

I do not. The interview apparently gives some

background on Lyche’s large wall version of

The 2×2 Case (Diamond Theorem) II.

(After Steven H. Cullinane)” 2012

Size: 260 x 380 cm

See also this work as displayed at a Kjærlighet til Oslo page.

(Updated March 30, 2014, to replace dead Kjaerlighet link.)

A Line for Frank

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

(Continued from High White Noon
Finishing Up at Noon, and A New York Jew.)

http://www.log24.com/log/pix10B/101008-StartingOut.jpg

Above: Frank Langella in "Starting Out in the Evening"

Below: Frank Langella and Johnny Depp in "The Ninth Gate"

"Not by the hair on your chinny-chin-chin."

IMAGE- Author's shirt with a Dharma Logo from 'Lost'

Above: Detail from a Wikipedia photo.

For the logo, see Lostpedia.

For some backstory, see Noether.

Those seeking an escape from the eightfold nightmare
represented by the Dharma logo above may consult
the remarks of Heisenberg (the real one, not the
Breaking Bad  version) to the Bavarian Academy
of Fine Arts.

Those who prefer Plato's cave to his geometry are
free to continue their Morphean adventures.

Theologia Mathematica

Filed under: General — m759 @ 10:10 am

For the title, see the end of yesterday's post "For Michaelmas."

See also the Sept. 22 post Incarnation, Part 2 
as well as Noether in this journal.

Knock, Knock, Knockin’

Filed under: General — m759 @ 9:48 am

The title is a reference to an article on page SR4 of
The New York Times Sunday Review  on Michaelmas.  

From Wired , a Saturday evening post —

(Click to enlarge.)

From a Breaking Bad   recap by Logan Hill—

“I am not in danger, Skyler, I am  the danger,” Walt growls,
in an electric shock of a scene that likely marks the beginning
of a new phase of Breaking Bad . If this show has been the story
of Walt’s deliberate, step-by-step descent into the bottom of
some bleak moral valley, this is him charging madly downhill
into darkness. “A guy opens his door and gets shot, you think
that of me? No, I am the one who knocks .”

Talk amongst yourselves.

Sunday, September 29, 2013

Bavarian Gentians

Filed under: General — Tags: — m759 @ 7:01 pm

This is the title of  a poem by D. H. Lawrence.

For Michaelmas

Filed under: General — Tags: , — m759 @ 6:29 pm

IMAGE- Excerpt from two Log24 posts of Dec. 20, 2010 - on 'The Set-Up,' and 'Enter a Messenger'

The date of the above meditations was suggested by that of the post
"Theologia Mathematica" in the weblog The World of Dr. Justice .

Church with Josefine

Filed under: General,Geometry — Tags: — m759 @ 11:30 am

Today, beginning at about 11 AM ET, I checked out
the latest news from Oslo artist Josefine Lyche,
often mentioned in these posts.

Lyche's Facebook page has a new cover photo—
geometric diagrams from Order in Space , a 1969
book by Keith Critchlow.

A search for more information on Critchlow yielded
information on his friend the impressive Kathleen Raine,
who reportedly died at 95 on July 6, 2003.

See also references to that date in this journal.

From Raine's obituary in The Guardian :

"When asked how she wished people
to remember her, Kathleen Raine said
she would rather they didn't. Or that
Blake's words be said of her: 'That in
time of trouble, I kept the divine vision.' "

Saturday, September 28, 2013

Wired

Filed under: General — m759 @ 9:29 pm

The New York Times  wire  this morning —

(Click to enlarge.)

Look out kid

Wiener News

Filed under: General — Tags: — m759 @ 2:19 pm

Legendary Magician John Calvert Dies at 102

The Hollywood Reporter , 8:36 PM PDT 9/27/2013
 by Mike Barnes 

" 'Out in Hollywood many years ago, Danny Kaye was
in my show and came out and impersonated Hitler,'
Calvert said in a 1998 interview. 'Then the Marines
would come out and grab him and put him in the buzz saw
and we’d cut his head off, put his head in a sausage grinder,
and out came German wieners!' "

See MAX in the posts of September 9th.

"Calvert died Friday [Sept. 27] in Lancaster, Calif., according to
The International Brotherhood of Magicians."

See also The Carlin Code (May 12, 2006).

Castle Rock Entertainment

Filed under: General — Tags: — m759 @ 9:48 am

(Where Entertainment Is God , continued)

Yesterday's evening numbers in the New York Lottery
were 007 and 3856. You are free to supply your own
interpretation of the former. The latter may, if you like,
be interpreted as post  3856, The Illuminati Stone .

Some context:

(Click for a larger, clearer image.)

I prefer Richard  Brautigan.

Friday, September 27, 2013

Proof (continued)

Filed under: General — Tags: — m759 @ 7:59 pm

"Let X equal the month of full bookstores."

Proof   by David Auburn

"Harvard Book Store is thrilled to welcome Stephen King
for a special event to celebrate the release of Doctor Sleep ,
the long-anticipated sequel to 1977’s The Shining .
Mr. King will read from and discuss the new book,
followed by a Q&A with the audience at Memorial Church
in Harvard Yard on September 27."

See as well Corpse + Eliot and some remarks 
on the mathematics of Kummer
from this September and from last September.

For Amy “Big Eyes” Adams

Filed under: General — m759 @ 12:25 pm

IMAGE- Album cover, 'Perfect Symmetry' by Keane, with Oscar Isaac in 'Inside Llewyn Davis'

See yesterday's post Design Mastery and a post for Amy Adams's birthday in 2011
on Eliot's still point  and the dance .

Thursday, September 26, 2013

Design Mastery

Filed under: General — m759 @ 4:48 pm

For T.S. Eliot on his birthday, a film review—

"… the Coens are… elegantly asserting design mastery…."

— Peter Bradshaw, review of "Inside Llewyn Davis" 
    in The Guardian  on May 18, 2013

Related material— Two Log24 posts from that date

Black Hole Revisited and Midnight in Bakhtin.

The former post presents a Jewish approach to
Eliot's concept of time and "the still point."
The latter post presents a more sophisticated approach. 

Perhaps the Coens' design mastery extends to the phrase
"time stops" of Kerouac. See the remarks by Dean Moriarty
in On the Road  quoted here in the previous post (Sept. 24).

The Coens' film contains, Bradshaw says, "a smoulderingly
Kerouac-y poet, played by Garrett Hedlund." Hedlund played
not Kerouac, but Moriarty, in the 2012 film of On the Road .

Tuesday, September 24, 2013

Being, IT, and Moriarty

Filed under: General — m759 @ 11:00 am

“It’s not the tune that counts but IT.” 
Dean Moriarty in On the Road

Sleep Tale

Filed under: General — m759 @ 5:01 am

For the late Carolyn Cassady, once a wife of Neal Cassady
(Dean Moriarty of Jack Kerouac's classic novel On the Road ).
She reportedly died at 90 in England on Friday, September 20,
2013.

From a post in this journal on the night of September 20-21,
with waning Harvest Moon:

Click on "Aooo" for some related posts, tagged "Howl."

Monday, September 23, 2013

For Danny Boy

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

"… It raced down the gossamer curtain of Its webbing,
a nightmare Spider from beyond time and space,
a Spider from beyond the fevered imaginings of
whatever inmates may live in the deepest depths of hell.
No, Bill thought coldly, not a Spider either, not really,
but this shape isn’t one It picked out of our minds;
it’s just the closest our minds can come to
        (the deadlights)
        whatever It really is.
"

Stephen King, It  (Sept. 15, 1986)

Related horror by Fritz Leiber—

"The Mind Spider" and "Damnation Morning."

Related fiction by Mark Helprin—

In Sunlight and in Shadow .

As a perceptive reviewer has noted, Helprin's title is
almost  a verse from the song "Danny Boy."

See, too, the Danny Boy of The Shining ,
who returns tomorrow in a sequel, Doctor Sleep .

"The summer's gone and all the roses falling…."

Sunday, September 22, 2013

Incarnation, Part 2

Filed under: General,Geometry — Tags: , , , — m759 @ 10:18 am

From yesterday —

"…  a list of group theoretic invariants
and their geometric incarnation…"

David Lehavi on the Kummer 166 configuration in 2007

Related material —

IMAGE- 'This is not mathematics; this is theology.' - Paul Gordan

"The hint half guessed, the gift half understood, is Incarnation."

T. S. Eliot in Four Quartets

"This is not theology; this is mathematics."

— Steven H. Cullinane on  four quartets

To wit:


Click to enlarge.

Saturday, September 21, 2013

Geometric Incarnation

The  Kummer 166  configuration  is the configuration of sixteen
6-sets within a 4×4 square array of points in which each 6-set
is determined by one of the 16 points of the array and
consists of the 3 other points in that point's row and the
3 other points in that point's column.

See Configurations and Squares.

The Wikipedia article Kummer surface  uses a rather poetic
phrase* to describe the relationship of the 166 to a number
of other mathematical concepts — "geometric incarnation."

Geometric Incarnation in the Galois Tesseract

Related material from finitegeometry.org —

IMAGE- 4x4 Geometry: Rosenhain and Göpel Tetrads and the Kummer Configuration

* Apparently from David Lehavi on March 18, 2007, at Citizendium .

Mathematics and Narrative (continued)

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

Mathematics:

A review of posts from earlier this month —

Wednesday, September 4, 2013

Moonshine

Filed under: Uncategorized — m759 @ 4:00 PM

Unexpected connections between areas of mathematics
previously thought to be unrelated are sometimes referred
to as "moonshine."  An example—  the apparent connections
between parts of complex analysis and groups related to the
large Mathieu group M24. Some recent work on such apparent
connections, by Anne Taormina and Katrin Wendland, among
others (for instance, Miranda C.N. Cheng and John F.R. Duncan),
involves structures related to Kummer surfaces .
In a classic book, Kummer's Quartic Surface  (1905),
R.W.H.T. Hudson pictured a set of 140 structures, the 80
Rosenhain tetrads and the 60 Göpel tetrads, as 4-element
subsets of a 16-element 4×4 array.  It turns out that these
140 structures are the planes of the finite affine geometry
AG(4,2) of four dimensions over the two-element Galois field.
(See Diamond Theory in 1937.)

Thursday, September 5, 2013

Moonshine II

Filed under: Uncategorized — Tags:  — m759 @ 10:31 AM

(Continued from yesterday)

The foreword by Wolf Barth in the 1990 Cambridge U. Press
reissue of Hudson's 1905 classic Kummer's Quartic Surface
covers some of the material in yesterday's post Moonshine.

The distinction that Barth described in 1990 was also described, and illustrated,
in my 1986 note "Picturing the smallest projective 3-space."  The affine 4-space
over the the finite Galois field GF(2) that Barth describes was earlier described—
within a 4×4 array like that pictured by Hudson in 1905— in a 1979 American
Mathematical Society abstract, "Symmetry invariance in a diamond ring."

"The distinction between Rosenhain and Goepel tetrads
is nothing but the distinction between isotropic and
non-isotropic planes in this affine space over the finite field."

The 1990 paragraph of Barth quoted above may be viewed as a summary
of these facts, and also of my March 17, 2013, note "Rosenhain and Göpel
Tetrads in PG(3,2)
."

Narrative:

Aooo.

Happy birthday to Stephen King.

Thursday, September 19, 2013

Y*

Filed under: General — Tags: — m759 @ 2:00 pm

"With all due respect…"

* Related thought:  "When you come to a fork in the road…"

Bugs

Filed under: General — Tags: — m759 @ 4:24 am

Midrash:  Butterfly and Bee.

Wednesday, September 18, 2013

Yahrzeit

Filed under: General — Tags: — m759 @ 12:26 pm

For the late Steve Sabol.

Review

Filed under: General — Tags: , — m759 @ 2:01 am

An LA obituary online yesterday suggests
a review of Kabbalah in this journal.

See also the final link in last weekend's
Log24 post Sunday Shul.

Tuesday, September 17, 2013

Occupy Space

Filed under: General — m759 @ 7:59 am

(Continued)

Google News this morning —

For some remarks in greater depth, see 
"In the Neighborhood of Mathematical Space,"
by Karen Shenfeld (1993).

One Knight in Bangkok

Filed under: General — m759 @ 6:08 am

Chess  lyrics, "Quartet" 

"A model of decorum and tranquillity
Become like any other sport
A battleground for rival ideologies
To slug it out with glee"

Communist leader Chin Peng, 88,
reportedly died in Bangkok yesterday.

"Is a puzzlement."

Monday, September 16, 2013

A Word to the Wise

Filed under: General — Tags: , , — m759 @ 7:00 pm

Gamalog.

Fleur de Derrida*

Filed under: General — Tags: — m759 @ 9:08 am

The above news item seems to exemplify Baudelaire's (and Murdoch's)
notion of contingency —

"La modernité, c’est le transitoire, le fugitif, le contingent, la moitié de l’art, dont l’autre moitié est l’éternel et l’immuable."

— Baudelaire, "Le Peintre de la Vie Moderne," IV (1863)

"By 'modernity' I mean the ephemeral, the fugitive, the contingent, the half of art whose other half is the eternal and the immutable."

— Baudelaire, "The Painter of Modern Life," IV (1863), translated by Jonathan Mayne (in 1964 Phaidon Press book of same title)

Thanks to the late Marshall Berman for pointing out this remark of Baudelaire.
(All That Is Solid Melts Into Air , Penguin edition of 1988, p. 133)

* For this post's title, see Language Game in this journal on 9/11,
   the morning of Berman's reported death.

Sunday, September 15, 2013

Babble On

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

’A babbled of green fields
— Phrase attributed to Shakespeare

Red to Green

ROYGBIV

Ite, missa est.

Sermon

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

Suggested by a poem in the current  New Yorker.

Today's text —

"We have no more beginnings. 
Incipit : that proud Latin word
which signals the start
survives in our dusty 'inception'."

— George Steiner, beginning of
      Grammars of Creation

Reply in the Latin tradition—

.

Cast

(From the Log24 posts
of August 23-24, 2013)

Sunday Shul

Filed under: General — m759 @ 9:48 am

See Hollywood + Vine in this journal.

See also Jews on Fiction.

Saturday, September 14, 2013

Where Entertainment Is God

Filed under: General — Tags: — m759 @ 7:11 pm

(Continued)

"Motifs bleed off the edge of one Pynchon canvas
onto the next." — Review of Bleeding Edge  in
tomorrow's New York Times Sunday Book Review

A RIDDLE for the Church of St. Frank:

AN ANSWER:

The red carpet is prepared for the 2013 Oscars at the Dolby Theatre.

Thursday, September 12, 2013

A Beginning

Filed under: General — Tags: — m759 @ 6:33 am

"Agilizamos y automatizamos
el registro de su evento."

— Gamalog.mx

"… que cantaba el rey David."

The Sense of an Ending*

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

* For the Church of St. Frank —

   The above item from the 9/11 NY Times  obituaries, and the
   Log24 posts of Monday, Sept. 9.

Wednesday, September 11, 2013

Lexicon

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

(Continued)

An antidote to Derrida.

The Eisenman Chronicles

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

Eisenman I:  DuBois, PA  (Of German descent)

Eisenman II:  Yale  (Apparently related to Eisenman I)

Eisenman III:  Newark, NJ  (Jewish)

"Confusion is nothing new." — Song lyric

Poem

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

In reply to "Poem," by Stanley Moss, in
the Sept. 16, 2012, New Yorker —

"Then we take Berlin." — Phrase by Leonard Cohen

See also this morning's 9:29 post Language Game.

Language Game

Filed under: General — Tags: , — m759 @ 9:29 am

In which Plato continues to thank the Academy.

From the Academy, a lead balloon for 9/11 —
continued from March First, 2002.

A search today for the name Eisenman
(see previous post) yields the following :

"We need a cameo from Plato, a safecracker,
a wrinkle or two to be ironed out, some ice,
some diamonds, and, above all, laughter
for this irony of ironies."

Jeffrey Kipnis, "Twisting the Separatrix,"
Assemblage  No. 14, April 1991, MIT Press

A Girl’s Best Friend?*

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

Continued from September 3rd, 2013.

On that date, there were two posts in this journal:

"The Stone" today suggests…"* and
"An End in Itself."

The former dealt with some philosophy and 
mathematics related to graphic design.

The latter dealt with death and finality.

The New York Times  today has an obituary
that, revisiting Sept. 3rd, unites the topics of
death and design.

Alvin Eisenman,
Graphic Design Educator,
Dies at 92

By DANIEL E. SLOTNIK
Published: September 10, 2013

Alvin Eisenman, a graphic designer who in 1951 became the first director of Yale’s graduate program for graphic design, the first offered by a major American university, died on Sept. 3 at his home, which he also designed, on Martha’s Vineyard. He was 92.  More>>

For greater depth, see the American Institute of Graphic Arts.

* This post's title and "The Stone" above refer to the New York Times
  philosophy column "The Stone"— In particular, to its Sept. 2nd post 
 "Women in Philosophy? Do the Math."

Tuesday, September 10, 2013

Kakutani on Pynchon

Filed under: General — m759 @ 10:00 pm

"A version of this review appears in print
on September 11, 2013,
on page C1 of the New York edition…."

The New York Times  online this evening

Moss on the Wall

Filed under: General — Tags: — m759 @ 1:00 am

The following page from the Sept. 16, 2013, issue of The New Yorker
deals with current trends in paranoid schizophrenia. It may interest
fans of Philip K. Dick.

(Click for a larger, clearer image.)

As for the poem by Stanley Moss on the above page (35, by the way),
a quote from Wallace Stevens seems appropriate —

"It was a language he spoke, because he must, yet did not know.
It was a page he had found in the handbook of heartbreak."

For the "wall" theme of Moss, see (for instance), this journal
on June 3, 2013 — New Yorker Art.

"All in all…." — Pink Floyd

Monday, September 9, 2013

ART WARS Midrash

Filed under: General — Tags: , — m759 @ 5:48 pm

Poster shown here last night

IMAGE- Poster for film 'MAX'- 'Art + Politics = Power'

Politics this afternoon —

IMAGE- News: Norway's center-right heads for big win.

Viking Book

Filed under: General — Tags: — m759 @ 4:00 pm

For the late Billy Wilder, director of Ace in the Hole  (1951)

IMAGE- Book by Halvor Bodin on the art of Josefine Lyche and others. See halvorbodin.com.

Click image for a larger version.

See, too, this morning's quarter-to-three post, and The Vikings  (1958)—

The art by Josefine Lyche in the Bodin book shown 
above is, as the artist notes, based on my own work.

Ace in the Hole

Filed under: General — Tags: — m759 @ 2:45 am

Some random thoughts suggested by the Norwegian ice hole
in the opening scene of the 2012 film Kon-Tiki .

From a Log24 post of August 2, 2013

IMAGE-Kristen Wiig in 'The Secret Life of Walter Mitty'

See, too, the secret life of Marsden Hartley :

IMAGE- Two pictures by Marsden Hartley- 'The Ice Hole' and 'Portrait of a German Officer'

Winning*

Filed under: General — Tags: — m759 @ 1:09 am

For the star of Platoon 

* Continued from July 28, 2011.

Sunday, September 8, 2013

The Importance of Being Ernst

Filed under: General — Tags: , — m759 @ 11:14 pm

For John Cusack and Menno Meyjes —

"I still haven't found what I'm looking for." — Bono

"In fact Surrealism found what it had been looking for
from the first in the 1920 collages [by Max Ernst],
which introduced an entirely original scheme of visual structure…."

Rosalind Krauss quoting André Breton
    in "The Master's Bedroom"

See also tonight's 10 PM post.

"Artistic Genesis and Perspective of Surrealism" (1941),
   in Surrealism and Painting  (New York, Harper & Row, 1972, p. 
64).

It’s 10 PM*

Filed under: General — m759 @ 10:00 pm

(Continued)

* The title and displayed time of this post is a fudge.
   The post was actually put online at about 10:02 PM.
   A surreal interpretation of that  time as the date  10/02
   yields a post from last October related to
   this evening's previous  post.

Crosses for Sherlock

Filed under: General,Geometry — m759 @ 8:15 pm

"Take a cube, and write the numbers 1,…,6 on its faces.
Now the pairs of numbers on opposite faces
form a syntheme. (Standard dice, for example, represent
the syntheme 12|34|56.) "
— Peter J. Cameron, weblog post of May 11, 2010 

"For every kind of vampire, there is a kind of cross."
Gravity's Rainbow

Saturday, September 7, 2013

Structure and Character

Filed under: General — Tags: , , , , — m759 @ 9:00 pm

(Continued from May 4, 2013)

"I saw a werewolf with a Chinese menu in his hand
Walking through the streets of Soho in the rain"

Warren Zevon

"It is well
That London, lair of sudden
Male and female darknesses,
Has broken her spell."

— D. H. Lawrence in a poem on a London blackout
during a bombing raid in 1917. See also today's previous
posts, Down Under and Howl.

Backstory— Recall, from history's nightmare on this date,
the Battle of Borodino and the second  London Blitz.

Howl

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

For Warren Zevon, who died ten years ago today —

Aooo!

Down Under

Filed under: General — Tags: , — m759 @ 11:02 am

"If I am to have a meeting it shall be down,
down in the invisible,
and the moment I re-emerge
it shall be alone.
In the visible world I am alone, an isolate instance.
My meeting is in the underworld, the dark."

— D. H. Lawrence, Kangaroo , Chapter 7,
   "The Battle of Tongues."

The web edition of this book says it was
"Last updated Tuesday,  June 18, 2013."

This was also the publication date of Max Barry's
2013 novel Lexicon . (See that date in this journal.)

Friday, September 6, 2013

Space

Filed under: General,Geometry — Tags: , — m759 @ 9:15 pm

"A vast space that travels down to the bedrock
upon which the towers were built, the museum
winds its way deeper and deeper underground,
taking visitors on a journey to the very bottom."

— The Associated Press in
this evening's Washington Post

This suggests a review of a different sort of
bedrock:—

IMAGE- Right 3-4-5 triangle with squares on sides and hypotenuse as base

"If you have built castles in the air, 
your work need not be lost;
that is where they should be.
Now put the foundations under them.”

— Henry David Thoreau

Oblivion

Filed under: General — Tags: , — m759 @ 2:45 pm

(Continued)

"Born of blood and tribulation" 
Gangs of New York

"Oblivion is not to be hired: The greater part must be content
to be as though they had not been, to be found in the Register
of God, not in the record of man."

— Sir Thomas Browne

The part of the above quotation preceding the first comma may be
found, among other places, in a New York Times  piece published
online on August 7, 2012. See also this  journal on that date.

Thursday, September 5, 2013

An Effective Team:

Filed under: General — Tags: , , — m759 @ 8:20 pm

Underworld and Evolution

This journal on 9/11, 2009 —

Cover of 'Underworld,' by Don DeLillo, First Edition, Advance Reader's Copy, 1997

Poster for Kate Beckinsale in a film
released on 9/11, 2009 —

For Qohen Leth — A quotation from
this journal on 9/11, 2009 — 

"Time and chance
happeneth to them all."
— Ecclesiastes  9:11  

Kernel and Glow

Filed under: General — Tags: — m759 @ 11:01 am

"The yarns of seamen have a direct simplicity, the whole meaning
of which lies within the shell of a cracked nut. But Marlow was not
typical (if his propensity to spin yarns be excepted), and to him the
meaning of an episode was not inside like a kernel but outside,
enveloping the tale which brought it out only as a glow brings out a
haze, in the likeness of one of these misty halos that sometimes
are made visible by the spectral illumination of moonshine."

— Joseph Conrad in Heart of Darkness

Kernel — See Nocciolo.

Glow — See Moonshine and Moonshine II.

See also Cold Open (Jan. 29, 2011) and
Where Entertainment is God (Aug. 25, 2013).

Moonshine II

(Continued from yesterday)

The foreword by Wolf Barth in the 1990 Cambridge U. Press
reissue of Hudson's 1905 classic Kummer's Quartic Surface
covers some of the material in yesterday's post Moonshine.

The distinction that Barth described in 1990 was also described, and illustrated,
in my 1986 note "Picturing the smallest projective 3-space."  The affine 4-space
over the the finite Galois field GF(2) that Barth describes was earlier described—
within a 4×4 array like that pictured by Hudson in 1905— in a 1979 American
Mathematical Society abstract, "Symmetry invariance in a diamond ring."

"The distinction between Rosenhain and Goepel tetrads
is nothing but the distinction between isotropic and
non-isotropic planes in this affine space over the finite field."

The 1990 paragraph of Barth quoted above may be viewed as a summary
of these facts, and also of my March 17, 2013, note "Rosenhain and Göpel
Tetrads in PG(3,2)
."

Wednesday, September 4, 2013

Secretary

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

Margalit Fox in The New York Times  this evening

Judith Daniels, the founding editor in chief of Savvy ,
the first glossy magazine aimed at executive women,
died on Sunday at her home in Union, Me. She was 74….

Savvy  will not tell you how to be a good secretary,”
one of its early promotional fliers read. “Savvy  will tell you
how to hire a good secretary— and how to fire.”

From the date of Daniels' death:  The Crossword Omen.

See, too,  Vogue  in this journal and Ontology.

From a post of January 26, 2013

IMAGE- Yahoo CEO Marissa Mayer and the ontology of entities

Sally in the 2013 film Oblivion : "Are you an effective team?"

Moonshine

Unexpected connections between areas of mathematics
previously thought to be unrelated are sometimes referred
to as "moonshine."  An example—  the apparent connections
between parts of complex analysis and groups related to the 
large Mathieu group M24. Some recent work on such apparent
connections, by Anne Taormina and Katrin Wendland, among
others (for instance, Miranda C.N. Cheng and John F.R. Duncan),
involves structures related to Kummer surfaces .
In a classic book, Kummer's Quartic Surface  (1905),
R.W.H.T. Hudson pictured a set of 140 structures, the 80
Rosenhain tetrads and the 60 Göpel tetrads, as 4-element
subsets of a 16-element 4×4 array.  It turns out that these
140 structures are the planes of the finite affine geometry
AG(4,2) of four dimensions over the two-element Galois field.
(See Diamond Theory in 1937.) 

A Google search documents the moonshine
relating Rosenhain's and Göpel's 19th-century work
in complex analysis to M24  via the book of Hudson and
the geometry of the 4×4 square.

Tuesday, September 3, 2013

An End in Itself

Filed under: General — m759 @ 8:24 pm

Continued from August 29th

"The general mood was summed up by fan
Debra Kay, who tweeted simply: 'R.I.P. Frederik Pohl.
Thanks for the stories.'" — The Guardian  today

Pohl reportedly died Monday
A synchronicity check:  Quoted here Monday

IMAGE- Barry Mazur: 'A good story is an end in itself.'

See also this journal on August 5th, 2008

Cover of 'The Last Theorem,' a novel by Arthur C. Clarke and Frederik Pohl

“The Stone” Today Suggests…

Filed under: General,Geometry — m759 @ 12:31 pm

A girl's best friend?

The Philosopher's Gaze , by David Michael Levin,
U. of California Press, 1999, in III.5, "The Field of Vision," pp. 174-175—

The post-metaphysical question—question for a post-metaphysical phenomenology—is therefore: Can the perceptual field, the ground of perception, be released  from our historical compulsion to represent it in a way that accommodates our will to power and its need to totalize and reify the presencing of being? In other words: Can the ground be experienced as  ground? Can its hermeneutical way of presencing, i.e., as a dynamic interplay of concealment and unconcealment, be given appropriate  respect in the receptivity of a perception that lets itself  be appropriated by  the ground and accordingly lets  the phenomenon of the ground be  what and how it is? Can the coming-to-pass of the ontological difference that is constitutive of all the local figure-ground differences taking place in our perceptual field be made visible hermeneutically, and thus without violence to its withdrawal into concealment? But the question concerning the constellation of figure and ground cannot be separated from the question concerning the structure of subject and object. Hence the possibility of a movement beyond metaphysics must also think the historical possibility of breaking out of this structure into the spacing of the ontological difference: différance , the primordial, sensuous, ekstatic écart . As Heidegger states it in his Parmenides lectures, it is a question of "the way historical man belongs within the bestowal of being (Zufügung des Seins ), i.e., the way this order entitles him to acknowledge being and to be the only being among all beings to see  the open" (PE* 150, PG** 223. Italics added). We might also say that it is a question of our response-ability, our capacity as beings gifted with vision, to measure up to the responsibility for perceptual responsiveness laid down for us in the "primordial de-cision" (Entscheid ) of the ontological difference (ibid.). To recognize the operation of the ontological difference taking place in the figure-ground difference of the perceptual Gestalt  is to recognize the ontological difference as the primordial Riß , the primordial Ur-teil  underlying all our perceptual syntheses and judgments—and recognize, moreover, that this rift, this  division, decision, and scission, an ekstatic écart  underlying and gathering all our so-called acts of perception, is also the only "norm" (ἀρχή ) by which our condition, our essential deciding and becoming as the ones who are gifted with sight, can ultimately be judged.

* PE: Parmenides  of Heidegger in English— Bloomington: Indiana University Press, 1992

** PG: Parmenides  of Heidegger in German— Gesamtausgabe , vol. 54— Frankfurt am Main: Vittorio Klostermann, 1992

Examples of "the primordial Riß " as ἀρχή  —

For an explanation in terms of mathematics rather than philosophy,
see the diamond theorem. For more on the Riß  as ἀρχή , see
Function Decomposition Over a Finite Field.

Monday, September 2, 2013

Analogy

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

From The New York Times Sunday Book Review  of Sept. 1, 2013—

THE GAMAL
By Ciaran Collins
Illustrated. 469 pp. Bloomsbury. Paper, $17.

Reviewed by Katharine Weber

Ten years ago, when Mark Haddon’s “Curious Incident of the Dog in the Night-Time” turned up on the best-seller list and won a number of literary awards, the novel’s autistic narrator beguiled readers with his unconventional point of view. Today, even as controversy surrounds the revised classification of autism in the latest version of the American Psychiatric Association’s Diagnostic and Statistical Manual of Mental Disorders, the quirky yet remarkably perceptive points of view of autistic narrators have become increasingly familiar in every category of fiction, from young adult to science fiction to popular and literary fiction.

Like Haddon’s Christopher Boone, the narrator of Ciaran Collins’s remarkable first novel, “The Gamal,” has been encouraged by a mental health professional to write his story for therapeutic purposes. Charlie McCarthy, 25, is known in the West Cork village of Ballyronan as “the gamal,” short for “gamalog,” a term for a fool or simpleton rarely heard beyond the Gaeltacht regions of Ireland. He is in fact a savant, a sensitive oddball whose cheeky, strange, defiant and witty monologue is as disturbing as it is dazzling. …

The Gamal  features a considerable variety of music. See details at a music weblog.

This, together with the narrator's encouragement "by a mental health professional
to write his story for therapeutic purposes" might interest Baz Luhrmann.

See Luhrmann's recent film "The Great Gatsby," with its portrait of
F. Scott Fitzgerald's narrator, and thus Fitzgerald himself, as a sensitive looney.

The Carraway-Daisy-Gatsby trio has a parallel in The Gamal .  (Again, see
the music weblog's description.)  

The Times  reviewer's concluding remarks on truth, lies, and unreliable autistic
narrators may interest some mathematicians. From an Aug. 29 post

IMAGE- Barry Mazur: 'A good story is an end in itself.'

A different gamalog ,  a website in Mexico, is not entirely unrelated to
issues of lies and truth—

Sunday, September 1, 2013

Argo

Filed under: General — m759 @ 6:29 am

For the late actor Victor Argo, a religious symbol :  the Krauss Cross.

Some backstory :

"Now don't tell me… You're St. Peter." 
— James Bond in Diamonds Are Forever

For a life of Victor Argo, see The New York Times 
on April 9,  Good Friday, 2004.

The Crossword Omen

Filed under: General — Tags: , — m759 @ 5:48 am

August 30, 11:01 AM  Comment-Worthy

August 30, 12:00 PM  Hymn

August 30, 7:20 PM  Her

August 31, 8:23 PM  What Where

September 1, 5:48 AM  The Crossword Omen —

IMAGE- Crossword Nexus site, with top photo of word 'OMEN,' giving 'BUM' as the leading possible answer to the clue 'London derriere'

Related material: A critic's remarks on the missing character "Bum"
in Beckett's play "What Where" and Rimbaud on the vowel "U"—

(Click to enlarge.)

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