Log24

Thursday, August 1, 2024

The Unfolding

Filed under: General — Tags: — m759 @ 8:14 am

The Hopkins mentioned above is not the noted Jesuit
Gerard Manley Hopkins, but rather Jasper  Hopkins .

See that Hopkins in this  journal on Twelfth Night, 2015.

See as well . . .

Thursday, June 22, 2023

Unfolded Drama

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

"I could a tale unfold . . ." — Hamlet's father's ghost

"Thus the entire little drama, from crystallized carbon
and felled pine to this humble implement, to this
transparent thing, unfolds in a twinkle."

— Vladimir Nabokov, Transparent Things

"… a cardboard tube, more or less the same length as
the inner core of a toilet roll, but thicker. He frowned,
took the roll out, laid it on the desk and poked up it
with the butt end of a pencil. Something slid out.
It looked like a rolled-up black plastic dustbin liner;
but when he unfolded it, he recognised it as the funny
sheet thing he’d found in the strongroom and briefly
described as an Acme Portable Door, before losing
his nerve and changing it to something less facetious." 

— Holt, Tom. The Portable Door . Orbit. Kindle Edition. 

According to goodreads.com, the Holt book was
"first published March 6, 2003."

Sunday, October 18, 2020

Unfolded

Filed under: General — Tags: , — m759 @ 5:10 am

See “Unfolded.jpg” in this journal.  From that search —

Pentagon with pentagram    

Compare and contrast these figures with images by Wittgenstein in . . .

Wittgenstein's pentagram and 4x4 'counting-pattern'

Related material from last night’s post Modernist Cuts

Schlick also appears in recent posts tagged Moriarty Variations.

Thursday, April 18, 2019

Expanding the Unfolding*

Filed under: General — Tags: — m759 @ 8:06 pm

From a New York Times  book review of a new novel about
Timothy Leary that was in the Times online on April 10 —

"Most of the novel resides in the perspective
of Fitzhugh Loney, one of Leary’s graduate students."

"A version of this article appears in print on ,
on Page 10 of the Sunday Book Review with the headline
Strange Days." 

For material about one of Leary's non -fictional grad students,
Ralph Metzner, see posts now tagged Metzner's Pi Day.

Related material —

The reported publication date of Searching for the Philosophers' Stone
was January 1, 2019.  

A related search published here  on that date:

* Title suggested by two of Ralph Metzner's titles,
   The Expansion of Consciousness  and The Unfolding Self .

Monday, February 26, 2018

The Unfolding

Filed under: General,Geometry — Tags: — m759 @ 9:20 am

From the website of Richard P. Gabriel

" As part of my studies, I came up with a 'theory of poetry' 
based loosely on Christopher Alexander’s 'Nature of Order.' "
[The Alexander link is mine, not Gabriel’s.]

A phrase from this  journal a year ago today — "poetic order" —
links to the theory of Gabriel —

From Gabriel's "The Nature of Poetic Order" —

Positive Space

• Positive space is the characteristic of a center
that moves outward from itself, seemingly oozing life
rather than collapsing on itself
• An image that resonates is showing positive space
• A word that has many connotations that fit with the
other centers in the poem is showing positive space
• It is an expansion outward rather than a contraction
inward, and it shows that the poem is unfolding
in front of us and not dying

Related material —

From a post of April 26, 2017

Wednesday, April 26, 2017

A Tale Unfolded

Filed under: General,Geometry — Tags: , , , — m759 @ 2:00 am

A sketch, adapted tonight from Girl Scouts of Palo Alto

From the April 14 noon post High Concept

From the April 14 3 AM post Hudson and Finite Geometry

IMAGE- Geometry of the Six-Set, Steven H. Cullinane, April 23, 2013

From the April 24 evening post The Trials of Device

Pentagon with pentagram    

Note that Hudson’s 1905 “unfolding” of even and odd puts even on top of
the square array, but my own 2013 unfolding above puts even at its left.

Wednesday, February 17, 2016

The Unfolding

Filed under: General — m759 @ 12:36 pm

"I could a tale unfold" — Hamlet's father's ghost

Or not.

The following Log24 excerpts are from a noted mathematician's
recent date of death, and the preceding date.

Monday, September 20, 2010

The Unfolding

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

Two pictures suggested by recent comments on
Peter J. Cameron's Sept. 17 post about T.S. Eliot—

http://www.log24.com/log/pix10B/100920-Hebrews-11-3-Sm.png

http://www.log24.com/log/pix10B/100920-Walsh-Hyperplanes-sm.jpg

For some further background, see Symmetry of Walsh Functions.

Monday, November 11, 2024

Echo Chamber: “The Room Outside of Time”*

Filed under: General — Tags: — m759 @ 11:50 pm

"… as Gombrich well knew, Warburg also
constantly regrets the 'loss' of this 'thought-space' …"

Echo from the Pasaje Bella Vista  in Cuernavaca —

“We keep coming back and coming back
To the real: to the hotel instead of the hymns….”

— Wallace Stevens

Hotel Bella Vista, Cuernavaca, Morelos, Mexico

— Postcard from eBay 

From Under the Volcano, by Malcolm Lowry, 1947, Chapter I:

Faustus is gone: regard his hellish fall —

Shaken, M. Laruelle replaced the book on the table… he reached to the floor for a folded sheet of paper that had fluttered out of it. He picked the paper up between two fingers and unfolded it, turning it over. Hotel Bella Vista, he read. There were really two sheets of uncommonly thin hotel notepaper….

I sit now in a little room off the bar at four-thirty in the morning drinking ochas and then mescal and writing this on some Bella Vista notepaper I filched the other night…. But this is worst of all, to feel your soul dying. I wonder if it is because to-night my soul has really died that I feel at the moment something like peace. Or is it because right through hell there is a path, as Blake well knew, and though I may not take it, sometimes lately in dreams I have been able to see it? …And this is how I sometimes think of myself, as a great explorer who has discovered some extraordinary land from which he can never return to give his knowledge to the world: but the name of this land is hell. It is not Mexico of course but in the heart.

* "The room outside of time" is a recurring theme in "The Resort."

Sunday, December 24, 2023

Infolded Perspectives

Filed under: General — m759 @ 9:28 pm

Infolded:

“In the garden of Adding,
Live Even and Odd….”
— The Midrash Jazz Quartet in
       City of God , by E. L. Doctorow

Perspectives:

Wednesday, August 30, 2023

The Ehrlich Date

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

The previous post linked to a review by David Ehrlich of the film
"Dog Years," starring Burt Reynolds. The review was dated April 26, 2017.

Also on that date . . .

This post from 2017 deals with the mathematics of "diamond theory,"
an approach to models of finite geometry.

Related philosophy —

The "diamond theory" of truth, as opposed to the "story theory."
(See Richard Trudeau, The Non-Euclidean Revolution.)

For those who prefer the story theory, there is, for instance,
the novel City of God  by E. L. Doctorow —

"In the Garden of Adding 
Live Even and Odd…."

Friday, June 23, 2023

A Little Drama

Filed under: General — Tags: — m759 @ 9:04 pm

The broken pencil in a Dial  illustration of June 20 — 

"I could a tale unfold . . ." — Hamlet's father's ghost

"Thus the entire little drama, from crystallized carbon
and felled pine to this humble implement, to this
transparent thing, unfolds in a twinkle."

— Vladimir Nabokov, Transparent Things

"… a cardboard tube, more or less the same length as
the inner core of a toilet roll, but thicker. He frowned,
took the roll out, laid it on the desk and poked up it
with the butt end of a pencil. Something slid out.
It looked like a rolled-up black plastic dustbin liner;
but when he unfolded it, he recognised it as the funny
sheet thing he’d found in the strongroom and briefly
described as an Acme Portable Door, before losing
his nerve and changing it to something less facetious." 

— Holt, Tom. The Portable Door . Orbit. Kindle Edition. 

According to goodreads.com, the Holt book was
"first published March 6, 2003."

See also this  journal on March 6, 2003, in a search for
Michelangelo Geometry.

Punchline of the above little drama —

"Try the other  end of the pencil, Liz."

Monday, June 19, 2023

The Original Portable Door

Filed under: General — Tags: , , — m759 @ 3:26 pm

"… a cardboard tube, more or less the same length as
the inner core of a toilet roll, but thicker. He frowned,
took the roll out, laid it on the desk and poked up it
with the butt end of a pencil. Something slid out.
It looked like a rolled-up black plastic dustbin liner;
but when he unfolded it, he recognised it as the funny
sheet thing he’d found in the strongroom and briefly
described as an Acme Portable Door, before losing
his nerve and changing it to something less facetious." 

— Holt, Tom. The Portable Door . Orbit. Kindle Edition. 

According to goodreads.com, the Holt book was
"first published March 6, 2003."

Compare and contrast the "portable door" as a literary device
with the "tesseract" in A Wrinkle in Time  (1962).

See also this  journal on March 6, 2003.

Monday, April 24, 2023

For Sister Simone

Filed under: General — Tags: , , — m759 @ 8:11 pm

"In the digital cafeteria where AI chatbots mingle,
Perplexity AI is the scrawny new kid ready to
stand up to ChatGPT, which has so far run roughshod
over the AI landscape. With impressive lineage, a wide
array of features, and a dedicated mobile app, this
newcomer hopes to make the competition eat its dust."

— Jason Nelson at decrypt.co, April 12, 2023

What Barnes actually wrote:

"The final scene — the death of Simone most movingly portrayed, 
I understand, by Geraldine Librandi, for the program did not specify 
names — relied on nothing but light gradually dying to a cold
nothingness of dark, and was a superb theatrical coup."

Sunday, March 12, 2023

The Phantom of Christmas Past

Filed under: General — Tags: — m759 @ 6:11 pm

Friday, June 24, 2022

Red Dot Award

Filed under: General — m759 @ 1:50 pm

 

A sketch, adapted from Girl Scouts of Palo Alto —

Click the sketch for further details.

Wednesday, July 28, 2021

From the Krell Lab

Filed under: General — m759 @ 2:45 pm

“… Which makes it a gilt-edged priority that one  of us
gets into that Krell lab and takes that brain boost.”

American adaptation of Shakespeare’s Tempest , 1956

Propriation1 gathers the rift-design2 of the saying
and unfolds it3 in such a way that it becomes
the well-joined structure4 of a manifold showing.”

— p. 415 of Heidegger‘s Basic Writings ,
edited by David Farrell Krell,
HarperCollins paperback, 1993

“Das Ereignis versammelt den Aufriß der Sage
und entfaltet ihn zum Gefüge des vielfältigen Zeigens.” 

— Heidegger, Weg zur Sprache

1. “Mirror-Play of the Fourfold

2. “Christ descending into the abyss

3. Barrancas of Cuernavaca

4. Combinatorics, Philosophy, Geometry

Wednesday, April 7, 2021

For Child Buyers

Filed under: General — m759 @ 5:25 am

Recent posts on hotels and education suggest a review.
See “Child Buyer” in this journal.

From John Hersey’s The Child Buyer  (1960):

“I was wondering about that this morning…
About forgetting. I’ve always had an idea that
each memory was a kind of picture,
an insubstantial picture. I’ve thought of it as
suddenly coming into your mind when you need it,
something you’ve seen, something you’ve heard,
then it may stay awhile, or else it flies out, then
maybe it comes back another time….
If all the pictures went out, if I forgot everything,
where would they go? Just out into the air? Into the sky?
Back home around my bed, where my dreams stay?”

“We keep coming back and coming back
To the real: to the hotel instead of the hymns….”

— Wallace Stevens

Hotel Bella Vista, Cuernavaca, Morelos, Mexico

— Postcard from eBay 
From Under the Volcano, by Malcolm Lowry, 1947, Chapter I:

Faustus is gone: regard his hellish fall —
Shaken, M. Laruelle replaced the book on the table… he reached to the floor for a folded sheet of paper that had fluttered out of it. He picked the paper up between two fingers and unfolded it, turning it over. Hotel Bella Vista, he read. There were really two sheets of uncommonly thin hotel notepaper….

I sit now in a little room off the bar at four-thirty in the morning drinking ochas and then mescal and writing this on some Bella Vista notepaper I filched the other night…. But this is worst of all, to feel your soul dying. I wonder if it is because to-night my soul has really died that I feel at the moment something like peace. Or is it because right through hell there is a path, as Blake well knew, and though I may not take it, sometimes lately in dreams I have been able to see it? …And this is how I sometimes think of myself, as a great explorer who has discovered some extraordinary land from which he can never return to give his knowledge to the world: but the name of this land is hell. It is not Mexico of course but in the heart.

Wednesday, February 24, 2021

Annals of Dim Antiquity

Filed under: General — Tags: , — m759 @ 2:20 pm

“Twenty-four glyphs, each one representing not a letter, not a word,
but a concept, arranged into four groups, written in Boris’s own hand,
an artifact that seemed to have resurrected him from the dead. It was
as if he were sitting across from Bourne now, in the dim antiquity of
the museum library.

This was what Bourne was staring at now, written on the unfolded
bit of onionskin.”

The Bourne Enigma , published on June 21, 2016

Passing, on June 21, 2016, into a higher dimension —

For those who prefer Borges to Bourne —

Wednesday, January 27, 2021

Game of Royalties

Filed under: General — Tags: — m759 @ 6:35 pm

For Holocaust Remembrance Day —

Little reportedly died at 79 on Jan. 7.

“Mr. Little submitted the manuscript for ‘Harry Potter and the Philosopher’s Stone’
to 12 publishers. He received 12 rejections in response, before selling it for £2,500,
or about $3,400 (the equivalent of about $5,800 today). It was a meager amount,
but his genius was in the details: He sold only the rights to publish it in Britain and
the Commonwealth, and he asked for high royalties.” — Clay Risen, New York Times

Leachman reportedly died at 94 today.

Dr. Frederick Frankenstein And it was you… who left my grandfather’s
book out for me to find.

Frau Blücher Yes.

Dr. Frederick Frankenstein So that I would…

Frau Blücher Yes.

Dr. Frederick Frankenstein Then you and Victor were…

Frau Blücher YES. YES. Say it. He vas my… BOYFRIEND!

In the spirit of Kinbote

The real  Frau Blücher was of course Hannah Arendt,
whose boyfriend was Martin Heidegger.

 Cf.  a Log24 post of April 10, 2017 —

From “Heidegger for Passover

Propriation1 gathers the rift-design2 of the saying
and unfolds it3 in such a way that it becomes
the well-joined structure4 of a manifold showing.”

— p. 415 of Heidegger‘s Basic Writings ,
edited by David Farrell Krell,
HarperCollins paperback, 1993

“Das Ereignis versammelt den Aufriß der Sage
und entfaltet ihn zum Gefüge des vielfältigen Zeigens.” 

— HeideggerWeg zur Sprache

1. “Mirror-Play of the Fourfold

2. “Christ descending into the abyss

3. Barrancas of Cuernavaca

4. Combinatorics, Philosophy, Geometry

Thursday, January 21, 2021

Cock Tale for Rikki

Filed under: General — Tags: , — m759 @ 4:50 pm

With apologies to those readers unable to follow knight moves .

The Queen's Gambit , by Walter Tevis,
published Feb. 1983

“Would you care for a cocktail?” he asked pleasantly.
She looked around her at 
the quiet restaurant,
at the people eating lunch, at the 
table with desserts
near the velvet rope at the entrance to 
the dining room.
“A Gibson,” she said. “On the rocks.”

Omni  July 1982

"A silver tide of phosphenes boiled across my field of vision
as the matrix began to unfold in my head, a 3-D chessboard,
infinite and perfectly transparent."

Steely Dan, 1974 —

"'Rikki Don't Lose That Number' is a single
released in 1974 by rock/jazz rock group Steely Dan
and the opening track of their third album Pretzel Logic .
It was the most successful single of the group's career,
peaking at number 4 on the Billboard  Hot 100 in
the summer of 1974." — Wikipedia

Brian Harley, Mate in Two Moves , 1931—

The key is the cocktail that begins the proceedings.”

See as well my post "Introduction to Cyberspace" (May 26, 2020).

 

Monday, November 23, 2020

In the Garden of Adding

Filed under: General — Tags: , — m759 @ 9:03 pm

“In the garden of Adding,
Live Even and Odd….”
— The Midrash Jazz Quartet in
       City of God , by E. L. Doctorow

Related material — Schoolgirls and Six-Set Geometry.

 

Saturday, October 17, 2020

“I Could a Tale …”

Filed under: General — Tags: — m759 @ 9:51 am

Unfold

Thursday, July 9, 2020

The Enigma Glyphs

Filed under: General — Tags: , , — m759 @ 5:53 am

IMAGE- The Diamond Theorem

For those who  prefer fiction —

“Twenty-four glyphs, each one representing not a letter, not a word,
but a concept, arranged into four groups, written in Boris’s own hand,
an artifact that seemed to have resurrected him from the dead. It was
as if he were sitting across from Bourne now, in the dim antiquity of
the museum library.

This was what Bourne was staring at now, written on the unfolded
bit of onionskin.”

— “Robert Ludlum’s”  The Bourne Enigma , published on June 21, 2016

Passing, on June 21, 2016, into a higher dimension —

Monday, June 29, 2020

The De Palma Balcony

Filed under: General — Tags: , , , , — m759 @ 1:44 am

"The Demolished Man  was a novel that had fascinated De Palma
since the late 1950s and appealed to his background in mathematics
and avant-garde storytelling. Its unconventional unfolding of plot
(exemplified in its mathematical layout of dialogue) and its stress on
perception have analogs in De Palma's filmmaking."  — Wikipedia

This, together with the Cuernavaca balcony in Deschooling MIT, is
perhaps enough of a clue for mystified theologians on St. Peter's Day.

Tuesday, February 4, 2020

Cleavage

Filed under: General — Tags: , , , — m759 @ 12:55 pm

From Martin Heidegger's
Contributions to Philosophy (From Enowning) , 
Translated by Parvis Emad and Kenneth Maly,
Indiana University Press, 1999 (first published in German
in 1989 as Beiträge zur Philosophie (Vom Ereignis)  but
written in 1936-1938 

"The 'between' [das Zwischen ] is the simple 'bursting open'
that enowns be-ing to a being, which up until then is held back
from what is ownmost to it and is not yet to be named a being.
This 'bursting open' is the clearing for the sheltered. But the
'bursting open' does not disperse. and the clearing is not a mere
emptiness.

The 'between' [das Zwischen ] which bursts open gathers
what it removes into the open of its strifing and refusing
belongingness, moves unto the ab-ground , out of which everything
(god, man, world, earth) recoils in swaying into itself and thus leaves
to be-ing the unique decidedness of en-ownment."

— 270, "The Essential Sway of Be-ing" (p. 341)

"Enownment and enstrifing, historical grounding and decision,
uniqueness and the onefold, what has the character of
the between [Zwischenhafte ] and the cleavage [Geklüft ] —
they never name the essential sway of be-ing as properties
but rather in each case the whole essential swaying* of its essential
sway."

— 270, "The Essential Sway of Be-ing" (p. 342)

* For "swaying" as "unfolding," see (for instance)
the Stanford Encyclopedia of Philosophy  and
also George Kovacs, Thinking and Be-ing in Heidegger's
Beiträge zur Philosophie (Vom Ereignis) ,
Zeta Books, 2015.

Monday, February 3, 2020

A Kuhnian Register

Filed under: General — Tags: , — m759 @ 11:22 pm

Ereignis  in the Stanford Encyclopedia of Philosophy

Further aspects of the essential unfolding of Being are revealed by what is perhaps the key move in the Contributions—a rethinking of Being in terms of the notion of Ereignis, a term translated variously as ‘event’ (most closely reflecting its ordinary German usage), ‘appropriation’, ‘appropriating event’, ‘event of appropriation’ or ‘enowning’. (For an analysis which tracks Heidegger's use of the term Ereignis at various stages of his thought, see Vallega-Neu 2010). The history of Being is now conceived as a series of appropriating events in which the different dimensions of human sense-making—the religious, political, philosophical (and so on) dimensions that define the culturally conditioned epochs of human history—are transformed. Each such transformation is a revolution in human patterns of intelligibility, so what is appropriated in the event is Dasein and thus the human capacity for taking-as (see e.g., Contributions 271: 343). Once appropriated in this way, Dasein operates according to a specific set of established sense-making practices and structures. In a Kuhnian register, one might think of this as the normal sense-making that follows a paradigm-shift. 

— Michael Wheeler, 2011

See as well "reordering" in Sunday evening's post Tetrads for McLuhan
and in a Log24 search for Reordering + Steiner.

Saturday, December 14, 2019

Colorful Tale

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

(Continued)

Four-color correspondence in an eightfold array (eightfold cube unfolded)

The above image is from 

"A Four-Color Theorem:
Function Decomposition Over a Finite Field,"
http://finitegeometry.org/sc/gen/mapsys.html.

These partitions of an 8-set into four 2-sets
occur also in Wednesday night's post
Miracle Octad Generator Structure.

This  post was suggested by a Daily News
story from August 8, 2011, and by a Log24
post from that same date, "Organizing the
Mine Workers
" —

http://www.log24.com/log/pix11B/110808-DwarfsParade500w.jpg

Monday, September 23, 2019

Reflections in a Cartoon Graveyard

Filed under: General — Tags: , — m759 @ 11:58 am

Images from this  journal related to the above cartoon —

(Click images for related posts.)

Hard Candy on Good Friday 2006

A sketch adapted from Girl Scouts of Palo Alto —

Sunday, April 21, 2019

Easter for Harvey

Filed under: General — m759 @ 11:02 am

https://www.broadwayworld.com/article/
Press-Agent-And-Broadway-Executive-Harvey-Sabinson-Dies-20190420
.

See also "Press Agent" in this journal and a post from Maundy Thursday,
the date of Sabinson's reported death . . .

Thursday, April 4, 2019

Analyze This, William James

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

See also "The Unfolding" in this  journal.

Sunday, March 24, 2019

Espacement: Geometry of the Interstice in Literary Theory

Filed under: General — Tags: , , , , — m759 @ 3:28 am

"You said something about the significance of spaces between
elements being repeated. Not only the element itself being repeated,
but the space between. I'm very interested in the space between.
That is where we come together." — Peter Eisenman, 1982

https://www.parrhesiajournal.org/
parrhesia03/parrhesia03_blackburne.pdf

Parrhesia  No. 3 • 2007 • 22–32

(Up) Against the (In) Between: Interstitial Spatiality
in Genet and Derrida

by Clare Blackburne

Blackburne — www.parrhesiajournal.org 24 —

"The excessive notion of espacement  as the resurgent spatiality of that which is supposedly ‘without space’ (most notably, writing), alerts us to the highly dynamic nature of the interstice – a movement whose discontinuous and ‘aberrant’ nature requires further analysis."

Blackburne — www.parrhesiajournal.org 25 —

"Espacement  also evokes the ambiguous figure of the interstice, and is related to the equally complex derridean notions of chora , différance , the trace and the supplement. Derrida’s reading of the Platonic chora  in Chora L Works  (a series of discussions with the architect Peter Eisenman) as something which defies the logics of non-contradiction and binarity, implies the internal heterogeneity and instability of all structures, neither ‘sensible’ nor ‘intelligible’ but a third genus which escapes conceptual capture.25 Crucially, chora , spacing, dissemination and différance  are highly dynamic concepts, involving hybridity, an ongoing ‘corruption’ of categories, and a ‘bastard reasoning.’26 Derrida identification of différance  in Margins of  Philosophy , as an ‘unappropriable excess’ that operates through spacing as ‘the becoming-space of time or the becoming-time of space,’27 chimes with his description of chora  as an ‘unidentifiable excess’ that is ‘the spacing which is the condition for everything to take place,’ opening up the interval as the plurivocity of writing in defiance of ‘origin’ and ‘essence.’28  In this unfolding of différance , spacing  ‘insinuates  into  presence an  interval,’29 again alerting us to the crucial role of the interstice in deconstruction, and, as Derrida observes  in Positions ,  its  impact  as  ‘a movement,  a  displacement  that  indicates  an  irreducible alterity’: ‘Spacing is the impossibility for an identity to be closed on itself, on the inside of its proper interiority, or on its coincidence with itself. The irreducibility of spacing is the irreducibility of the other.’30"

25. Quoted in Jeffrey Kipnis and Thomas Leeser, eds., 
Chora L Works. Jacques Derrida and Peter Eisenman  
(New York: The Monacelli Press, 1997), 15.

26. Ibid, 25.

27. Derrida, Margins of Philosophy.
(Brighton: The Harvester Press, 1982), 6 and 13.

28. Derrida, Chora L Works , 19 and 10.

29. Ibid, 203.

30. Derrida, Positions , 94.

Friday, March 22, 2019

Charles Jencks’s Grand Unified Theory

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

"The stars and galaxies seem static, eternal, or moving slowly
in deterministic patterns, becoming the background stage
on which we move. But if we could speed up the sequence,
we would see how dramatic and unpredictable this background
really is — an actor, director, script and stage all at once.
Moreover, it is a unified universe, a single unfolding event
of which we are an embedded part, a narrative of highly
dangerous and fine-tuned events, something more like
a detective thriller with many crimes and last-minute escapes
than the impersonal account of astronomy textbooks.
We are only just beginning to decipher the plot and figure out
the Cosmic Code, as Heinz Pagels puts it."

— Charles Jencks, The Architecture of the Jumping Universe :
A Polemic
  (How Complexity Science is Changing Architecture
and Culture), Academy Editions, 1995, rev. ed. 1997

"A Grand Unified Theory (GUT) is a model in particle physics…."
Wikipedia

"Under the GUT symmetry operation these field components
transform into one another. The reason quantum particles 
appear to have different properties in nature is that the unifying
symmetry is broken. The various gluons, quarks and leptons
are analogous to the facets of a cut diamond, which appear
differently according to the way the diamond is held but in
fact are all manifestations of the same underlying object."

— Heinz Pagels, Perfect Symmetry , Bantam paperback, 1986, p. 284

See also the recent post Multifaceted Narrative.

Tuesday, July 3, 2018

Propriation

Filed under: General,Geometry — Tags: — m759 @ 7:55 pm

The phrase "quantum space" in today's 10:45 AM post
was used earlier in a book title —

Amazon.com gives the Quantum Space  publication date
for its Kindle edition as April 10, 2017.

I prefer my own remarks of April 10, 2017 —

From "Heidegger for Passover

"Propriation1 gathers the rift-design2 of the saying
and unfolds it3 in such a way that it becomes 
the well-joined structure4 of a manifold showing."

— p. 415 of Heidegger's Basic Writings ,
edited by David Farrell Krell,
HarperCollins paperback, 1993

"Das Ereignis versammelt den Aufriß der Sage
und entfaltet ihn zum Gefüge des vielfältigen Zeigens." 

— Heidegger, Weg zur Sprache

1. "Mirror-Play of the Fourfold"

2. "Christ descending into the abyss"

3. Barrancas of Cuernavaca

4. Combinatorics, Philosophy, Geometry

Sunday, April 29, 2018

Amusement

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

From the online New York Times  this afternoon:

Disney now holds nine of the top 10
domestic openings of all time —
six of which are part of the Marvel
Cinematic Universe. “The result is
a reflection of 10 years of work:
of developing this universe, creating
stakes as big as they were, characters
that matter and stories and worlds that
people have come to love,” Dave Hollis,
Disney’s president of distribution, said
in a phone interview.

From this  journal this morning:

"But she felt there must be more to this
than just the sensation of folding space
over on itself. Surely the Centaurs hadn't
spent ten years telling humanity how to 
make a fancy amusement-park ride
.
There had to be more—"

Factoring Humanity , by Robert J. Sawyer,
Tom Doherty Associates, 2004 Orb edition,
page 168

"The sensation of folding space . . . ."

Or unfolding:

Click the above unfolded space for some background.

Thursday, March 8, 2018

Thanking the Academy…

Filed under: General,Geometry — m759 @ 9:11 pm

Continues.

Tuesday, February 27, 2018

Risin’ Meets Oozin’

Filed under: General — m759 @ 9:15 pm

For the former, see the previous post.

For the latter, see yesterday's The Unfolding.

Related material —

(Screenshot at 9:08 PM ET)

Heimel on Dating —

She adapted “Sex Tips” and “But Enough About You,” a 1986 collection, into a play, “A Girl’s Guide to Chaos,” which opened later that year off Broadway at the American Place Theater. The play is largely a conversation among four friends, one of whom, Cynthia (played by Debra Jo Rupp in the original production) realizes to her horror that she will have to start dating again.

“Please, God, no, don’t make me do it!” she says. “I’ll be good from now on, I promise! I’ll stop feeding the dog hashish! I’ll be kind, thoughtful, sober, industrious, anything. But please, God, not the ultimate torture of dating!”

— Richard Sandomir tonight in The New York Times 
on an author who reportedly died on Sunday, Feb. 25, 2018

<meta property="article:published"
itemprop="datePublished"
content="2018-02-27T19:37:54-05:00" />

Wednesday, October 25, 2017

The Palo Alto Edge

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

From Stanford — The death on October 9, 2017, of a man who
“always wanted to be at the most cutting of cutting-edge technology.”

Related material from Log24 on April 26, 2017

A sketch, adapted from Girl Scouts of Palo Alto —

Click the sketch for further details.

Thursday, April 27, 2017

Partner, Anchor, Decompose

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

See also a figure from 2 AM ET April 26 

" Partner, anchor, decompose. That's not math.
That's the plot to 'Silence of the Lambs.' "

Greg Gutfeld, September 2014

Monday, April 10, 2017

Heidegger for Passover

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

From this  journal on August 7, 2010  (footnotes added today) —

The title of this post, "Rift Designs," is taken from Heidegger.

From a recent New Yorker  review of Absence of Mind  by Marilynne Robinson—

"Robinson is eloquent in her defense of the mind’s prerogatives, but her call for a renewed metaphysics might be better served by rereading Heidegger than by dusting off the Psalms."

Following this advice, we find—

"Propriation1 gathers the rift-design2 of the saying and unfolds it3  in such a way that it becomes the well-joined structure4 of a manifold showing."

— p. 415 of Heidegger's Basic Writings , edited by David Farrell Krell, HarperCollins paperback, 1993

"Das Ereignis versammelt den Aufriß der Sage und entfaltet ihn zum Gefüge des vielfältigen Zeigens." 

— Heidegger, Weg zur Sprache

1. "Mirror-Play of the Fourfold"

2. "Christ descending into the abyss"

3. Barrancas of Cuernavaca

4. Combinatorics, Philosophy, Geometry

Sunday, October 2, 2016

Westworld

Filed under: General,Geometry — Tags: , — m759 @ 9:45 am

On a new HBO series that opens at 9 PM ET tonight —

Watching Westworld , you can sense a grand mythology unfolding before your eyes. The show’s biggest strength is its world-building, an aspect of screenwriting that many television series have botched before. Often shows will rush viewers into plot, forgetting to instill a sense of place and of history, that you’re watching something that doesn’t just exist in a vacuum but rather is part of some larger ecosystem. Not since Lost  can I remember a TV show so committed to immersing its audience into the physical space it inhabits. (Indeed, Westworld  can also be viewed as a meta commentary on the art of screenwriting itself: brainstorming narratives, building characters, all for the amusement of other people.)

Westworld  is especially impressive because it builds two worlds at once: the Western theme park and the futuristic workplace. The Western half of Westworld  might be the more purely entertaining of the two, with its shootouts and heists and chases through sublime desert vistas. Behind the scenes, the theme park’s workers show how the robot sausage is made. And as a dystopian office drama, the show does something truly original.

Adam Epstein at QUARTZ, October 1, 2016

"… committed to immersing its audience
  into the physical space it inhabits…."

See also, in this journal, the Mimsy Cube

"Mimsy Were the Borogoves,"
classic science fiction story:

"… he lifted a square, transparent crystal block, small enough to cup in his palm– much too small to contain the maze of apparatus within it. In a moment Scott had solved that problem. The crystal was a sort of magnifying glass, vastly enlarging the things inside the block. Strange things they were, too. Miniature people, for example– They moved. Like clockwork automatons, though much more smoothly. It was rather like watching a play."

A Crystal Block —

Cube, 4x4x4

Saturday, April 23, 2016

Tale

Filed under: General — m759 @ 7:59 am

"I could a tale unfold "

Wednesday, August 26, 2015

“The Quality Without a Name”

Filed under: General,Geometry — Tags: , , , — m759 @ 8:00 am

The title phrase, paraphrased without quotes in
the previous post, is from Christopher Alexander's book
The Timeless Way of Building  (Oxford University Press, 1979).

A quote from the publisher:

"Now, at last, there is a coherent theory
which describes in modern terms
an architecture as ancient as
human society itself."

Three paragraphs from the book (pp. xiii-xiv):

19. Within this process, every individual act
of building is a process in which space gets
differentiated. It is not a process of addition,
in which preformed parts are combined to
create a whole, but a process of unfolding,
like the evolution of an embryo, in which
the whole precedes the parts, and actualy
gives birth to then, by splitting.

20. The process of unfolding goes step by step,
one pattern at a time. Each step brings just one
pattern to life; and the intensity of the result
depends on the intensity of each one of these
individual steps.

21. From a sequence of these individual patterns,
whole buildings with the character of nature
will form themselves within your thoughts,
as easily as sentences.

Compare to, and contrast with, these illustrations of "Boolean space":

(See also similar illustrations from Berkeley and Purdue.)

Detail of the above image —

Note the "unfolding," as Christopher Alexander would have it.

These "Boolean" spaces of 1, 2, 4, 8, and 16 points
are also Galois  spaces.  See the diamond theorem —

Thursday, October 30, 2014

Mimicry

Filed under: General — Tags: — m759 @ 5:09 pm

This journal Tuesday,  Oct. 28, 2014, at 5 PM ET:

"What is a tai chi master, and what is it that he unfolds?"

From an earlier post, Hamlet's father's ghost
on "the fretful porpentine":

Hamlet , Act 1, Scene 5 —

Ghost:

“I could a tale unfold whose lightest word
Would harrow up thy soul, freeze thy young blood,
Make thy two eyes, like stars, start from their spheres,
Thy knotted and combinèd locks to part
And each particular hair to stand on end,
Like quills upon the fretful porpentine:
But this eternal blazon must not be
To ears of flesh and blood."

Galway Kinnell:

"I roll
this way and that in the great bed, under
the quilt
that mimics this country of broken farms and woods"

— "The Porcupine"

For quilt-block designs that do not mimic farms or woods,
see the cover of Diamond Theory .  See also the quotations
from Wallace Stevens linked to in the last line of yesterday's
post in memory of Kinnell.

"… a bee for the remembering of happiness" — Wallace Stevens

Tuesday, October 28, 2014

Raiders of the Lost Symbol

Filed under: General,Geometry — Tags: — m759 @ 5:00 pm

A print copy of next Sunday’s New York Times Book Review
arrived in today’s mail. From the front-page review:

Marcel Theroux on The Book of Strange New Things ,
a novel by Michel Faber —

“… taking a standard science fiction premise and
unfolding it with the patience and focus of a
tai chi master, until it reveals unexpected
connections, ironies and emotions.”

What is a tai chi master, and what is it that he unfolds?

Perhaps the taijitu  symbol and related material will help.

The Origin of Change

Diamond Theory version of 'The Square Inch Space' with yin-yang symbol for comparison

“Two things of opposite natures seem to depend
On one another, as a man depends
On a woman, day on night, the imagined

On the real. This is the origin of change.
Winter and spring, cold copulars, embrace
And forth the particulars of rapture come.”

Wallace Stevens,
“Notes Toward a Supreme Fiction,”
Canto IV of “It Must Change”

Wednesday, June 26, 2013

Tale

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

“I could a tale unfold whose lightest word
Would harrow up thy soul….

— Hamlet’s Father’s Ghost

The results of a search in this journal for “a tale unfold” suggest
a review of the following passage from Donna Tartt’s Secret History

A math weblog discussed this passage on January 24, 2013.
For related alliances, see this  weblog on that same date.

Saturday, April 13, 2013

Occupy Space

Filed under: General — m759 @ 8:28 pm

(Continued from Seize the Dia,  April 6)

Two chess games by Fischer, against two brothers—

1956: "In this game, Fischer (playing Black) demonstrates
noteworthy innovation and improvisation." — Wikipedia

1963: "Fischer [playing Black] had engineered a brilliantly
disguised trap for him and … he had fallen into it." — NY Times

See also this evening's Times  obituaries and The Unfolding.

Some context:  The Crosswicks Curse.

Monday, October 8, 2012

This Poet You’ve Snatched

Filed under: General — Tags: — m759 @ 10:09 pm

IMAGE- Oct. 7, 2012 post by Margaret Soltan with passages by Salinger on education and DeLillo on hat measurements

Some background from today's New York Times

IMAGE- Oct. 8, 2012, NY Times obituary for Vietnamese imprisoned poet

From DeLillo's novel Mao II  in  the paragraph immediately preceding
the Ritz-hat passage quoted by Soltan—

"He could have told George he was writing about the hostage to bring him back, to return a meaning that had been lost to the world when they locked him in that room. Maybe that was it. When you inflict punishment on someone who is not guilty, when you fill rooms with innocent victims, you begin to empty the world of meaning and erect a separate mental state, the mind consuming what's outside itself, replacing real things with plots and fictions. One fiction taking the world narrowly into itself, the other fiction pushing out toward the social order, trying to unfold into it. He could have told George a writer creates a character as a way to reveal consciousness, increase the flow of meaning. This is how we reply to power and beat back our fear. By extending the pitch of consciousness and human possibility. This poet you've snatched. His detention drains the world of one more thimble of meaning."

For related ways of draining the world of meaning, see the politically loaded leftist vocabulary of International Art English

IAE has a distinctive lexicon: aporia , radically , space , proposition , biopolitical , tension , transversal , autonomy . An artist’s work inevitably interrogates, questions, encodes, transforms, subverts, imbricates, displaces—though often it doesn’t do these things so much as it serves to, functions to, or seems to (or might seem to) do these things.  [Alix Rule and David Levine, July 30, 2012]

See also this evening's post Issue 16.

Sunday, November 20, 2011

Occupy Space

Filed under: General — m759 @ 11:35 am

A chess set previously mentioned in this journal—

http://www.log24.com/log/pix11C/111120-ChessSet-419x1180.jpg

These chessmen appeared in the weblog Minimalissimo 
on Sept. 20, 2010. In Log24 on that date, the issue was
not so much the chessmen as the underlying board.
See "The Unfolding." See also the following from
the Occupy Space  gallery in Limerick today—

C A V E S – Anthony Murphy Solo Exhibition
 
Opening 7 pm Thursday 1st Dec
Exhibition 2nd – 22nd Dec 2011

Plato's allegory of the cave describes prisoners, inhabiting the cave since childhood, immobile, facing an interior wall. A large fire burns behind the prisoners, and as people pass this fire their shadows are cast upon the cave's wall, and these shadows of the activity being played out behind the prisoner become the only version of reality that the prisoner knows.

C A V E S  is an exhibition of three large scale works, each designed to immerse the viewer, and then to confront the audience with a question regarding how far they, as privileged viewers of the shadows and reflections being played out upon the walls, are willing to allow themselves to believe what they know to be a false reality.

The works are based on explorations of simple 2D shapes; regular polygons are exploded to create fractured pattern, or layered upon one another until intricate forms emerge, upon which the projections can begin to draw out a third dimension.

Monday, September 12, 2011

Spider Flagship

Filed under: General — m759 @ 9:48 pm

Microsoft plans Windows 8 compatibility with mobile devices

"This won't be just another upgrade. Windows 8 is nothing less than the linchpin to Microsoft's strategy for keeping Windows relevant— if not resurgent— as the shift to the post-PC computing era unfolds.

'The stakes are huge,' says Charles King, principal analyst at research firm Pund-IT. 'The company must play outside its comfort zone, but if Microsoft succeeds, the potential opportunities could be significant.'"

Byron Acohido in USA TODAY this evening

Yesterday's 7:20 AM Google News—

http://www.log24.com/log/pix11B/110911-88and8-720AM.jpg

From Cliff Robertson's 1958 TV classic "Days of Wine and Roses"—

http://www.log24.com/log/pix11B/110912-WineAndRoses.jpg

From Fritz Leiber's 1959 sci-fi classic "Damnation Morning" —

She drew from her handbag a pale grey gleaming implement
that looked by quick turns to me like a knife, a gun,
a slim sceptre, and a delicate branding iron— especially when
its tip sprouted an eight-limbed star of silver wire.

“The test?” I faltered, staring at the thing.

“Yes, to determine whether you can live in the fourth dimension or only die in it.”

Tuesday, May 17, 2011

Cannes Bangs

Filed under: General — Tags: — m759 @ 5:55 pm

24 Frames
MOVIES: PAST, PRESENT AND FUTURE (LA Times )

"But what feels like standard movie exposition quickly takes
a sharp turn when we're feted with about 20 minutes of the
elemental and cosmic footage that's been making all the
headlines. At first it looks like it could be a depiction of heaven
or hell, but it soon becomes clear that it's a story of creation—
or of Creation, as some iteration of the Big Bang unfolds
before our eyes."

— "Cannes 2011: What Terrence Malick's 'The Tree of Life'
Is Actually About," by Steven Zeitchik of the LA Times

Hannibal Pictures
THE BIG BANG (Click for Cannes details.)

http://www.log24.com/log/pix11A/110517-HannibalPicturesHands.jpg

See Peter Woit's review from Sunday.

The generic 3×3 HannibalPictures.com
favicon  has an apt connotation—

Plan 9 from Outer Space.

Monday, February 21, 2011

The Abacus Conundrum*

From Das Glasperlenspiel  (Hermann Hesse, 1943) —

“Bastian Perrot… constructed a frame, modeled on a child’s abacus, a frame with several dozen wires on which could be strung glass beads of various sizes, shapes, and colors. The wires corresponded to the lines of the musical staff, the beads to the time values of the notes, and so on. In this way he could represent with beads musical quotations or invented themes, could alter, transpose, and develop them, change them and set them in counterpoint to one another. In technical terms this was a mere plaything, but the pupils liked it.… …what later evolved out of that students’ sport and Perrot’s bead-strung wires bears to this day the name by which it became popularly known, the Glass Bead Game.”

From “Mimsy Were the Borogoves” (Lewis Padgett, 1943)—

…”Paradine looked up. He frowned, staring. What in—
…”Is that an abacus?” he asked. “Let’s see it, please.”
…Somewhat unwillingly Scott brought the gadget across to his father’s chair. Paradine blinked. The “abacus,” unfolded, was more than a foot square, composed of thin,  rigid wires that interlocked here and there. On the wires the colored beads were strung. They could be slid back and forth, and from one support to another, even at the points of jointure. But— a pierced bead couldn’t cross interlocking  wires—
…So, apparently, they weren’t pierced. Paradine looked closer. Each small sphere had a deep groove running around it, so that it could be revolved and slid along the wire at the same time. Paradine tried to pull one free. It clung as though magnetically. Iron? It looked more like plastic.
…The framework itself— Paradine wasn’t a mathematician. But the angles formed by the wires were vaguely shocking, in their ridiculous lack of Euclidean logic. They were a maze. Perhaps that’s what the gadget was— a puzzle.
…”Where’d you get this?”
…”Uncle Harry gave it to me,” Scott said on the spur of the moment. “Last Sunday, when he came over.” Uncle Harry was out of town, a circumstance Scott well knew. At the age of seven, a boy soon learns that the vagaries of adults follow a certain definite pattern, and that they are fussy about the donors of gifts. Moreover, Uncle Harry would not return for several weeks; the expiration of that period was unimaginable to Scott, or, at least, the fact that his lie would ultimately be discovered meant less to him than the advantages of being allowed to keep the toy.
…Paradine found himself growing slightly confused as he attempted to manipulate the beads. The angles were vaguely illogical. It was like a puzzle. This red bead, if slid along this  wire to that  junction, should reach there— but it didn’t. A maze, odd, but no doubt instructive. Paradine had a well-founded feeling that he’d have no patience with the thing himself.
…Scott did, however, retiring to a corner and sliding beads around with much fumbling and grunting. The beads did  sting, when Scott chose the wrong ones or tried to slide them in the wrong direction. At last he crowed exultantly.
…”I did it, dad!”
…””Eh? What? Let’s see.” The device looked exactly the same to Paradine, but Scott pointed and beamed.
…”I made it disappear.”
…”It’s still there.”
…”That blue bead. It’s gone now.”
…Paradine didn’t believe that, so he merely snorted. Scott puzzled over the framework again. He experimented. This time there were no shocks, even slight. The abacus had showed him the correct method. Now it was up to him to do it on his own. The bizarre angles of the wires seemed a little less confusing now, somehow.
…It was a most instructive toy—
…It worked, Scott thought, rather like the crystal cube.

* Title thanks to Saturday Night Live  (Dec. 4-5, 2010).

Wednesday, February 16, 2011

Time Frames

Filed under: General — m759 @ 8:00 pm

From this evening's online New York Times

Flock Around ‘The Clock’

By RANDY KENNEDY

“The Clock,” a video work by Christian Marclay, uses thousands of film and television clips of timepieces to create, minute by minute, a 24-hour montage that unfolds in real time.

Benjamin Norman for The New York Times

“The Clock,” a video work by Christian Marclay, uses thousands of film and television clips of timepieces to create, minute by minute, a 24-hour montage that unfolds in real time.

“The Clock,” a 24-hour video work by Christian Marclay, draws crowds at the Paula Cooper Gallery in Chelsea.

Critic’s Notebook

The Musical Rhythms in Images Out of Time

By BEN RATLIFF

Time is a kind of music, music is a kind of time, and Christian Marclay seems to understand this implicitly.

See also Don DeLillo's Point Omega , a novel published on Groundhog Day, 2010.

Wednesday, September 15, 2010

Wittgenstein, 1935

Filed under: General — m759 @ 1:20 am

http://www.wittgen-cam.ac.uk/biogre9.html

1935

With the expiry of his five-year Research Fellowship at Trinity College Wittgenstein was faced once more with the problem of loss of career. Accordingly he planned a journey to the Soviet Union, to find out whether he could find a suitable post there. Wittgenstein’s constant quest for the right career was not, as it is often misunderstood, a flight from himself. Rather, it was a search for the right place, a being at one with himself: Return him [Man] to his rightful element and everything will unfold and appear as healthy. (MS 125)

Since 1933/34 he had been taking lessons in Russian from the philosopher Fanja Pascal, initially with Francis Skinner. In June he asked Keynes for an introduction to the Soviet ambassador in London, Ivan M. Maiski. He sought contacts in two places above all, at the Northern Institute in Leningrad and the Institute for National Minorities in Moscow, writing to Keynes on 6 July: These Institutes, as I am told, deal with people who want to go to the ‘colonies’ the newly colonized parts at the periphery of the U. S. S. R. (Letters to Russell, Keynes and Moore)

On 12 September Wittgenstein arrived in Leningrad. There he met the author and educator Guryevich at the Northern Institute, then an autonomous faculty of Leningrad University. On the evening of the following day he travelled on to Moscow, arriving there on the morning of the 14th. Here he had contacts with various western Europeans and Americans, including the correspondent of the Daily Worker, Pat Sloane. Most of his discussions, however, were with scientists, for example the young mathematician Yanovskaya and the philosopher Yushevich from Moscow University, who were both close to so-called Mach Marxism and the Vienna Circle. He was invited by the philosopher Tatiana Nikolayeva Gornstein, a member of the Soviet Academy of Sciences, to teach philosophy at Leningrad University. He traveled to Kazakhstan, where he was offered a chair at the famous university where Tolstoy once studied. On 1 October he was back in Cambridge. The trip was shorter than planned, and it appears that he had given up the idea of settling in Russia.

His friend Gilbert Pattison, who picked him up from the ship on his return, recalled that Wittgenstein’s view was that he could not live there himself: One could live there, but only if one kept in mind the whole time that one could never speak one’s mind. … It is as though one were to spend the rest of one’s life in an army, any army, and that is a rather difficult thing for people who are educated. (Interview with Pattison)

Saturday, August 7, 2010

Rift Designs

Filed under: General — m759 @ 8:28 pm

From the current index to obituaries at Telegraph.co.uk—

Teufel is also featured in today's New York Times

"Mr. Teufel became a semicelebrity, helped in no small part by his last name, which means 'devil' in German."

From Group Analysis ,  June 1993, vol. 26 no. 2, 203-212—

The Problem of Good and Evil

by Ronald Sandison, Ledbury, Herefordshire HR8 2EY, UK

In my contribution to the Group Analysis Special Section: "Aspects of Religion in Group Analysis" (Sandison, 1993) I hinted that any consideration of a spiritual dimension to the group involves us in a discussion on whether we are dealing with good or evil spirits. But if we say that God is in the group, why is not the Devil there also? Can good and evil coexist in the same group matrix? Is the recognition of evil "nothing but" the ability to distinguish between good and bad? If not, then what is evil? Is it no more than the absence of good?

These and other questions were worked on at a joint Institute of Group Analysis and Group-Analytic Society (London) Workshop entitled "The Problem of Good and Evil." We considered the likelihood that good and evil coexist in all of us, as well as in the whole of the natural world, not only on earth, but in the cosmos and in God himself What we actually do with good and evil is to split them apart, thereby shelving the problem but at the same time creating irreconcilable opposites. This article examines this splitting and how we can work with it psychoanalytically.

This suggests a biblical remark—

"Now there was a day… when the sons of God
came to present themselves before the Lord,
and Satan came also among them."

Job 1:6, quoted by Chesterton in The Man Who Was Thursday

Sandison died on June 18. See the Thursday, August 5, Log24 post "The Matrix."

Teufel died on July 6. See the Log24 posts for that day.

The title of this  post, "rift designs," refers to a recurring theme in the July 6 posts. It is taken from Heidegger.

From a recent New Yorker  review of Absence of Mind  by Marilynne Robinson—

"Robinson is eloquent in her defense of the mind’s prerogatives, but her call for a renewed metaphysics might be better served by rereading Heidegger than by dusting off the Psalms."

Following this advice, we find—

"Propriation gathers the rift-design of the saying and unfolds it  in such a way that it becomes the well-joined structure of a manifold showing."

p. 415 of Heidegger's Basic Writings , edited by David Farrell Krell, HarperCollins paperback, 1993

"Das Ereignis versammelt den Aufriß der Sage und entfaltet ihn zum Gefüge des vielfältigen Zeigens." 

— Heidegger, Weg zur Sprache

Sunday, July 11, 2010

Language Lab

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

From a search in this journal for "Krell"—

Dialogue from an American adaptation of Shakespeare's Tempest

“… Which makes it a gilt-edged priority that one  of us
 gets into that Krell lab and takes that brain boost.”

– Taken from a video, Forbidden Planet Monster Attack

http://www.log24.com/log/pix10A/100711-LanguageLab.jpg

From yesterday's A Manifold Showing

"Propriation gathers the rift-design of the saying and unfolds it
in such a way that it becomes the well-joined structure of a manifold showing."
(p. 415 of Heidegger's Basic Writings, edited by David Farrell Krell,
HarperCollins paperback, 1993)

German versions found on the Web—

„Das Ereignis versammelt den Aufriß der Sage und entfaltet ihn zum Gefüge des vielfältigen Zeigens.“ 323

323 Heidegger, Weg zur Sprache, S. 259.

"Das Regende im Zeigen der Sage ist das Eignen. Es erbringt das An- und Abwesen in sein jeweilig Eigenes, aus dem dieses sich an ihm selbst zeigt und nach seiner Art verweilt. Das erbringende Eignen, das die Sage als die Zeige in ihrem Zeigen regt, heiße das Ereignen. Es er-gibt das Freie der Lichtung, in die Anwesendes anwähren, aus der Abwesendes entgehen und im Entzug sein Währen behalten kann. Was das Ereignen durch die Sage ergibt, ist nie Wirkung einer Ursache, nicht die Folge eines Grundes. Das erbringende Eignen, das Ereignen, ist gewährender als jedes Wirken, Machen und Gründen. Das Ereignende ist das Ereignis selbst – und nichts außerdem. Das Ereignis, im Zeigen der Sage erblickt, läßt sich weder als ein Vorkommnis noch als ein Geschehen vorstellen, sondern nur im Zeigen der Sage als das Gewährende erfahren. Es gibt nichts anderes, worauf das Ereignis noch zurückführt, woraus es gar erklärt werden könnte. Das Ereignen ist kein Ergebnis (Resultat) aus anderem, aber die Er-gebnis, deren reichendes Geben erst dergleichen wie ein `Es gibt' gewährt, dessen auch noch `das Sein' bedarf, um als Anwesen in sein Eigenes zu gelangen. Das Ereignis versammelt den Aufriß der Sage und entfaltet ihn zum Gefüge des Vielfältigen Zeigens. Das Ereignis ist das Unscheinbarste des Unscheinbaren, das Einfachste des Einfachen, das Nächste des Nahen und das Fernste des Fernen, darin wir Sterbliche uns zeitlebens aufhalten." 8

8 M. Heidegger: Unterwegs zur Sprache. S. 258 f.

From Google Translate:

"The event brings together the outline of the legend and unfolds it to the structure of the manifold showing."

Saturday, July 10, 2010

A Manifold Showing

Filed under: General — m759 @ 7:11 am

"Heidegger suggests that we experience the saying of language as a shining forth:

'It lets what is coming to presence shine forth, lets what is withdrawing into absence vanish.  The saying is by no means the supplemental linguistic expression of what shines forth; rather, all shining and fading depend on the saying that shows.' (pp. 413-414).

But what is the basis and origin of this possibility of saying?  The happening of saying in the clearing, its allowing things to shine forth, can also be called an 'owning.' Owning is the event of a thing’s coming into its own, of its showing itself as itself. Heidegger also calls it 'propriating,' 'en-owning,' or Ereignis:

'Propriation gathers the rift-design of the saying and unfolds it in such a way that it becomes the well-joined structure of a manifold showing. (p. 415)'"

— "Heidegger: On the Way to Language," by Paul Livingston

Page references are apparently to Heidegger's Basic Writings, edited by David Farrell Krell, HarperCollins paperback, 1993.

See also Shining Forth.

Quarter to Three, continued

Filed under: General,Geometry — m759 @ 2:45 am

In memory of an historian of Mexico
who died on Tuesday, July 6, 2010

http://www.log24.com/log/pix10A/100710-Barranca.jpg

Related material—

Image-- 'The Unfolding'-- A review of Anne Carson's 'Nox'

and

Time Fold.

In the latter, click on
the link Eleven.

Thursday, July 8, 2010

Toronto vs. Rome

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

or: Catullus vs. Ovid

(Today's previous post, "Coxeter vs. Fano,"
might also have been titled "Toronto vs. Rome.")

ut te postremo donarem munere mortis

Catullus 101

Explicatio

Unfolding

Image by Christopher Thomas at Wikipedia
Unfolding of a hypercube and of a cube —

http://www.log24.com/log/pix10A/100506-Hcube_fold.gif

Image--Chess game from 'The 
Seventh Seal'

The metaphor for metamorphosis no keys unlock.
— Steven H. Cullinane, "Endgame"

The current New Yorker  has a translation of
  the above line of Catullus by poet Anne Carson.
According to poets.org, Carson "attended St. Michael's College
at the University of Toronto and, despite leaving twice,
received her B.A. in 1974, her M.A. in 1975 and her Ph.D. in 1981."

Carson's translation is given in a review of her new book Nox.

The title, "The Unfolding," of the current review echoes an earlier
New Yorker  piece on another poet, Madeleine L'Engle—

Cynthia Zarin in The New Yorker, issue dated April 12, 2004–

“Time, for L’Engle, is accordion-pleated. She elaborated,
‘When you bring a sheet off the line, you can’t handle it
until it’s folded, and in a sense, I think, the universe can’t
exist until it’s folded– or it’s a story without a book.’”

(See also the "harrow up" + Hamlet  link in yesterday's 6:29 AM post.)

Thursday, May 6, 2010

Mathematics and Narrative, continued…

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

The Unfolding

A post for Florencio Campomanes,
former president of the World Chess Federation.

Campomanes died at 83 in the Philippines
at 1:30 PM local time (1:30 AM Manhattan time)
on Monday, May 3, 2010.

From this journal on the date of his death —

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

Image by Christopher Thomas at Wikipedia
Unfolding of a hypercube and of a cube —

http://www.log24.com/log/pix10A/100506-Hcube_fold.gif

Image--Chess game from 'The Seventh Seal'

Related material from a story of the Philippines —

Image-- Alex Garland on how a hypercube unfolds to what he calls a tesseract

Tuesday, January 12, 2010

That’s Showbiz

Filed under: General — m759 @ 2:00 pm

New York Times, January 12, 2010, 12:26 PM–

"Spider-Man" Musical Will Refund Tickets

"With… direction by Julie Taymor ['Frida'], 'Spider-Man' has been marred by delays….

The musical’s troubles have unfolded at the same time that the next “Spider-Man” movie has been descending into disarray…."

Related material:

"No Great Magic," by Fritz Leiber–

"The white cosmetic came away, showing sallow skin and on it a faint tattoo in the form of an 'S' styled like a yin-yang symbol left a little open.

'Snake!' he hissed. 'Destroyer! The arch-enemy, the eternal opponent!'"

Ay que bonito es volar  
    A las dos de la mañana
….”
— “La Bruja

Tuesday, September 8, 2009

Tuesday September 8, 2009

Filed under: General,Geometry — Tags: , , — m759 @ 12:25 pm

Froebel's   
Magic Box  
 

Box containing Froebel's Third Gift-- The Eightfold Cube
 
 Continued from Dec. 7, 2008,
and from yesterday.

 

Non-Euclidean
Blocks

 

Passages from a classic story:

… he took from his pocket a gadget he had found in the box, and began to unfold it. The result resembled a tesseract, strung with beads….

Tesseract
 Tesseract

 

"Your mind has been conditioned to Euclid," Holloway said. "So this– thing– bores us, and seems pointless. But a child knows nothing of Euclid. A different sort of geometry from ours wouldn't impress him as being illogical. He believes what he sees."

"Are you trying to tell me that this gadget's got a fourth dimensional extension?" Paradine demanded.
 
"Not visually, anyway," Holloway denied. "All I say is that our minds, conditioned to Euclid, can see nothing in this but an illogical tangle of wires. But a child– especially a baby– might see more. Not at first. It'd be a puzzle, of course. Only a child wouldn't be handicapped by too many preconceived ideas."

"Hardening of the thought-arteries," Jane interjected.

Paradine was not convinced. "Then a baby could work calculus better than Einstein? No, I don't mean that. I can see your point, more or less clearly. Only–"

"Well, look. Let's suppose there are two kinds of geometry– we'll limit it, for the sake of the example. Our kind, Euclidean, and another, which we'll call x. X hasn't much relationship to Euclid. It's based on different theorems. Two and two needn't equal four in it; they could equal y, or they might not even equal. A baby's mind is not yet conditioned, except by certain questionable factors of heredity and environment. Start the infant on Euclid–"

"Poor kid," Jane said.

Holloway shot her a quick glance. "The basis of Euclid. Alphabet blocks. Math, geometry, algebra– they come much later. We're familiar with that development. On the other hand, start the baby with the basic principles of our x logic–"

"Blocks? What kind?"

Holloway looked at the abacus. "It wouldn't make much sense to us. But we've been conditioned to Euclid."

— "Mimsy Were the Borogoves," Lewis Padgett, 1943


Padgett (pseudonym of a husband-and-wife writing team) says that alphabet blocks are the intuitive "basis of Euclid." Au contraire; they are the basis of Gutenberg.

For the intuitive basis of one type of non-Euclidean* geometry– finite geometry over the two-element Galois field– see the work of…


Friedrich Froebel
 (1782-1852), who
 invented kindergarten.

His "third gift" —

Froebel's Third Gift-- The Eightfold Cube
© 2005 The Institute for Figuring
 
Photo by Norman Brosterman
fom the Inventing Kindergarten
exhibit at The Institute for Figuring

Go figure.

* i.e., other than Euclidean

Thursday, September 3, 2009

Thursday September 3, 2009

Filed under: General,Geometry — Tags: , , — m759 @ 11:07 am
Autistic Enchantment

“Music and mathematics are among the pre-eminent wonders of the race. Levi-Strauss sees in the invention of melody ‘a key to the supreme mystery’ of man– a clue, could we but follow it, to the singular structure and genius of the species. The power of mathematics to devise actions for reasons as subtle, witty, manifold as any offered by sensory experience and to move forward in an endless unfolding of self-creating life is one of the strange, deep marks man leaves on the world. Chess, on the other hand, is a game in which thirty-two bits of ivory, horn, wood, metal, or (in stalags) sawdust stuck together with shoe polish, are pushed around on sixty-four alternately coloured squares. To the addict, such a description is blasphemy. The origins of chess are shrouded in mists of controversy, but unquestionably this very ancient, trivial pastime has seemed to many exceptionally intelligent human beings of many races and centuries to constitute a reality, a focus for the emotions, as substantial as, often more substantial than, reality itself. Cards can come to mean the same absolute. But their magnetism is impure. A mania for whist or poker hooks into the obvious, universal magic of money. The financial element in chess, where it exists at all, has always been small or accidental.

To a true chess player, the pushing about of thirty-two counters on 8×8 squares is an end in itself, a whole world next to which that of a mere biological or political or social life seems messy, stale, and contingent. Even the patzer, the wretched amateur who charges out with his knight pawn when the opponent’s bishop decamps to R4, feels this daemonic spell. There are siren moments when quite normal creatures otherwise engaged, men such as Lenin and myself, feel like giving up everything– marriage, mortgages, careers, the Russian Revolution– in order to spend their days and nights moving little carved objects up and down a quadrate board. At the sight of a set, even the tawdriest of plastic pocket sets, one’s fingers arch and a coldness as in a light sleep steals over one’s spine. Not for gain, not for knowledge or reknown, but in some autistic enchantment, pure as one of Bach’s inverted canons or Euler’s formula for polyhedra.”

— George Steiner in “A Death of Kings,” The New Yorker, issue dated September 7, 1968, page 133

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

Quaternion rotations in a finite geometry
Click above images for some context.

See also:

Log24 entries of May 30, 2006, as well as “For John Cramer’s daughter Kathryn”– August 27, 2009— and related material at Wikipedia (where Kathryn is known as “Pleasantville”).

Wednesday, June 17, 2009

Wednesday June 17, 2009

Filed under: General — Tags: — m759 @ 4:30 am

Back to the Real

Colum McCann on yesterday’s history:

“Fiction gives us access to a very real history.”

The Associated Press thought for today:

“Journalism allows its readers to witness history; fiction gives its readers an opportunity to live it.”

— John Hersey, American author (born on this date in 1914, died 1993).

From John Hersey’s The Child Buyer (1960):

“I was wondering about that this morning… About forgetting. I’ve always had an idea that each memory was a kind of picture, an insubstantial picture. I’ve thought of it as suddenly coming into your mind when you need it, something you’ve seen, something you’ve heard, then it may stay awhile, or else it flies out, then maybe it comes back another time…. If all the pictures went out, if I forgot everything, where would they go? Just out into the air? Into the sky? Back home around my bed, where my dreams stay?”

“We keep coming back and coming back
To the real: to the hotel instead of the hymns….”

— Wallace Stevens

Hotel Bella Vista, Cuernavaca, Morelos, Mexico

Postcard from eBay
From Under the Volcano, by Malcolm Lowry, 1947, Chapter I: 

Faustus is gone: regard his hellish fall —
Shaken, M. Laruelle replaced the book on the table… he reached to the floor for a folded sheet of paper that had fluttered out of it. He picked the paper up between two fingers and unfolded it, turning it over. Hotel Bella Vista, he read. There were really two sheets of uncommonly thin hotel notepaper….

I sit now in a little room off the bar at four-thirty in the morning drinking ochas and then mescal and writing this on some Bella Vista notepaper I filched the other night…. But this is worst of all, to feel your soul dying. I wonder if it is because to-night my soul has really died that I feel at the moment something like peace. Or is it because right through hell there is a path, as Blake well knew, and though I may not take it, sometimes lately in dreams I have been able to see it? …And this is how I sometimes think of myself, as a great explorer who has discovered some extraordinary land from which he can never return to give his knowledge to the world: but the name of this land is hell. It is not Mexico of course but in the heart.

Monday, December 22, 2008

Monday December 22, 2008

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

The Folding

Hamlet, Act 1, Scene 5

Ghost:

"I could a tale unfold whose lightest word
Would harrow up thy soul, freeze thy young blood,
Make thy two eyes, like stars, start from their spheres,
Thy knotted and combined locks to part
And each particular hair to stand on end,
Like quills upon the fretful porpentine:
But this eternal blazon must not be
To ears of flesh and blood. List, list, O, list!"

This recalls the title of a piece in this week's New Yorker:"The Book of Lists:
Susan Sontag’s early journals
." (See Log24 on Thursday, Dec. 18.)

In the rather grim holiday spirit of that piece, here are some journal notes for Sontag, whom we may imagine as the ghost of Hanukkah past.

There are at least two ways of folding a list (or tale) to fit a rectangular frame.The normal way, used in typesetting English prose and poetry, starts at the top, runs from left to right, jumps down a line, then again runs left to right, and so on until the passage is done or the bottom right corner of the frame is reached.

The boustrophedonic way again goes from top to bottom, with the first line running from left to right, the next from right to left, the next from left to right, and so on, with the lines' directions alternating.

The word "boustrophedon" is from the Greek words describing the turning, at the end of each row, of an ox plowing (or "harrowing") a field.

The Tale of
the Eternal Blazon

by Washington Irving

"Blazon meant originally a shield, and then the heraldic bearings on a shield.
Later it was applied to the art of describing or depicting heraldic bearings
in the proper manner; and finally the term came to signify ostentatious display
and also description or record by words or other means. In Hamlet, Act I. Sc. 5,
the Ghost, while talking with Prince Hamlet, says:

'But this eternal blazon
must not be
To ears of flesh and blood.'

Eternal blazon signifies revelation or description of things pertaining to eternity."

Irving's Sketch Book, p. 461

By Washington Irving and Mary Elizabeth Litchfield, Ginn & Company, 1901

Related material:

Folding (and harrowing up)
some eternal blazons —

The 16 Puzzle: transformations of a 4x4 square
These are the foldings
described above.

They are two of the 322,560
natural ways to fit
the list (or tale)
"1, 2, 3, … 15, 16"
into a 4×4 frame.

For further details, see
The Diamond 16 Puzzle.

Moral of the tale:

Cynthia Zarin in The New Yorker, issue dated April 12, 2004–

"Time, for L'Engle, is accordion-pleated. She elaborated, 'When you bring a sheet off the line, you can't handle it until it's folded, and in a sense, I think, the universe can't exist until it's folded– or it's a story without a book.'"

Sunday, December 21, 2008

Sunday December 21, 2008

Filed under: General — m759 @ 4:23 pm
Le PLI

An excerpt from Simon Blackburn’s 1999 review of Eco’s Kant and the Platypus:
Prominent literary intellectuals often like to make familiar reference to the technical terminology of mathematical logic or philosophy of language. A friend of mine overheard the following conversation in Cambridge during l’affaire Derrida, when the proposal to grant an honorary degree to that gentleman met serious academic opposition in the university. A journalist covering the fracas asked a Prominent Literary Intellectual what he took to be Derrida’s importance in the scheme of things. ‘Well,’ the PLI confided graciously, unblushingly, ‘Gödel showed that every theory is inconsistent unless it is supported from outside. Derrida showed that there is no outside.’

Now, there are at least three remarkable things about this. First, the thing that Gödel was supposed to show could not possibly be shown, since there are many demonstrably consistent theories. Second, therefore, Gödel indeed did not show it, and neither did he purport to do so. Third, it makes no sense to say that an inconsistent theory could become consistent by being ‘supported from outside’, whatever that might mean (inconsistency sticks; you cannot get rid of it by addition, only by subtraction). So what Derrida is said to have done is just as impossible as what Gödel was said to have done.

These mistakes should fail you in an undergraduate logic or math or philosophy course. But they are minor considerations in the world of the PLI. The point is that the mere mention of Gödel (like the common invocation of ‘hierarchies’ and ‘metalanguages’) gives a specious impression of something thrillingly deep and thrillingly mathematical and scientific (theory! dazzling! Einstein!) And, not coincidentally, it gives the PLI a flattering image of being something of a hand at these things, an impresario of the thrills. I expect the journalist swooned.
An excerpt from Barry Mazur’s “Visions, Dreams, and Mathematics” (apparently a talk presented at Delphi), dated Aug. 1, 2008, but posted on Dec. 19:

“The word explicit is from the Latin explicitus related to the verb explicare meaning to ‘unfold, unravel, explain, explicate’ (plicare means ‘to fold’; think of the English noun ‘ply’).”

Related material: Mark Taylor’s Derridean use of “le pli” (The Picture in Question, pp. 58-60, esp. note 13, p. 60). See also the discussion of Taylor in this journal posted on Dec. 19.

Sunday, May 11, 2008

Sunday May 11, 2008

Filed under: General — m759 @ 10:31 am
May and Zan

May Swenson, left, and Zan Knudson, right

May Swenson (left)
and Zan Knudson (right)

In memory of poet May Swenson and sports novelist Rozanne Ruth “Zan” Knudson:

Maureen Dowd in today’s New York Times:

“It’s a similar syndrome to the one Katharine Hepburn’s star athlete and her supercilious fiancé have in ‘Pat and Mike.’

The fiancé is always belittling Hepburn, so whenever he’s in the stands, her tennis and golf go kerflooey. Finally, her manager, played by Spencer Tracy, asks the fiancé to stay away from big matches, explaining, ‘You are the wrong jockey for this chick.’

‘You know, except when you’re around, we got a very valuable piece of property here,’ he says, later adding, ‘When you’re around, she’s no good, she’s dead, see?'”

Girl in tesseract on cover of  'The Gameplayers of Zan'

Summary of M. A. Foster’s
The Gameplayers of Zan:

“Then she has a vision of herself,
enclosed by an unfolded hypercube,
and then an immense screen
behind it covered by complex,
     ever-shifting patterns….”

“Christ! What are
 patterns for?”
Amy Lowell   

Does the word ‘tesseract’
mean anything to you?

— Robert A. Heinlein

Tuesday, June 19, 2007

Tuesday June 19, 2007

Filed under: General — Tags: , — m759 @ 12:00 pm
Let Noon Be Fair

— Title of a novel
by Willard Motley

A review of Helene Cixous's Three Steps on the Ladder of Writing:

"Cixous explores three distinct 'schools' that produce what she envisions as great writing– the Schools of the Dead, of Dreams, and of Roots. Cixous invests much weight in the purposefully ambiguous nature of the word 'school'; she seems to refer to a motivation, conscious or unconscious, that directs, influences, and shapes writing; at other times she seems to want to speak of actual places from whence we get instruction (again, consciously or unconsciously)."

From Under the Volcano, by Malcolm Lowry, 1947, Chapter I:


Faustus is gone: regard his hellish fall —
 

"Shaken, M. Laruelle replaced the book on the table… he reached to the floor for a folded sheet of paper that had fluttered out of it. He picked the paper up between two fingers and unfolded it, turning it over. Hotel Bella Vista, he read."

From The Shining, Chapter 18:
 
"In 1961 four writers, two of them Pulitzer Prize winners, had leased the Overlook and reopened it as a writers' school. That had lasted one year…. Every big hotel has got a ghost. Why? Hell, people come and go…. (In the room the women come and go)" –Quoted in Shining Forth


The image “http://www.log24.com/log/pix07/070619-Cixous.jpg” cannot be displayed, because it contains errors.
Photo: jewishbookweek.com

Jacques Derrida and Helene Cixous

Time of this entry:

Noon.

Friday, October 6, 2006

Friday October 6, 2006

Filed under: General — m759 @ 12:00 pm
A Visual Proof

The great mathematician
Robert P. Langlands
is 70 today.

In honor of his expository work–
notably, lectures at
The Institute for Advanced Study
on “The Practice of Mathematics
and a very acerbic review (pdf) of
a book called Euclid’s Window
here is a “Behold!” proof of
the Pythagorean theorem:

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

The picture above is adapted from
 a sketch by Eves of a “dynamical”
proof suitable for animation.

The proof has been
 described by Alexander Bogomolny
as “a variation on” Euclid I.47.
Bogomolny says it is a proof
by “shearing and translation.”

It has, in fact, been animated.
The following version is
by Robert Foote:
The image “http://www.log24.com/log/pix06A/RobertFooteAnimation.gif” cannot be displayed, because it contains errors.

Wednesday, June 14, 2006

Wednesday June 14, 2006

Filed under: General — m759 @ 7:11 am
For a
Dark Lady
 
The image “http://www.log24.com/log/pix06A/060614-Beckinsale.jpg” cannot be displayed, because it contains errors.

The image “http://www.log24.com/log/pix06A/060614-HypercubeAndCube.gif” cannot be displayed, because it contains errors.

Hypercube and Cube

The image “http://www.log24.com/log/pix06A/060614-Unfolding.gif” cannot be displayed, because it contains errors.

Hypercube and Cube
Unfolding

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

The above crosses are from an animation that “illustrates… unfolding of the nets of a hypercube (left) and cube (right).” — Christopher Thomas

The image “http://www.log24.com/log/pix06A/060614-EvolutionBegins2.jpg” cannot be displayed, because it contains errors.

Kate Beckinsale, poster for
Underworld: Evolution
(DVD release date 6/6/6)

evolve:
1641, “to unfold, open out, expand,”
from L. evolvere “unroll,” from ex- “out”
+ volvere “to roll” (see vulva).
Online Eymology Dictionary 

Related material:

Introduction to Multispeech,
All Hallows’ Eve, 2005

Thursday, December 8, 2005

Thursday December 8, 2005

Filed under: General,Geometry — Tags: , — m759 @ 2:56 pm
Aion Flux
 
That Nature is a Heraclitean Fire…
— Poem title, Gerard Manley Hopkins  

From Jung's Map of the Soul, by Murray Stein:

"… Jung thinks of the self as undergoing continual transformation during the course of a lifetime…. At the end of his late work Aion, Jung presents a diagram to illustrate the dynamic movements of the self…."

The image “http://www.log24.com/theory/images/JungDiamonds.gif” cannot be displayed, because it contains errors.

"The formula presents a symbol of the self, for the self is not just a stable quantity or constant form, but is also a dynamic process.  In the same way, the ancients saw the imago Dei in man not as a mere imprint, as a sort of lifeless, stereotyped impression, but as an active force…. The four transformations represent a process of restoration or rejuvenation taking place, as it were, inside the self…."

"The formula reproduces exactly the essential features of the symbolic process of transformation. It shows the rotation of the mandala, the antithetical play of complementary (or compensatory) processes, then the apocatastasis, i.e., the restoration of an original state of wholeness, which the alchemists expressed through the symbol of the uroboros, and finally the formula repeats the ancient alchemical tetrameria, which is implicit in the fourfold structure of unity. 

What the formula can only hint at, however, is the higher plane that is reached through the process of transformation and integration. The 'sublimation' or progress or qualitative change consists in an unfolding of totality into four parts four times, which means nothing less than its becoming conscious. When psychic contents are split up into four aspects, it means that they have been subjected to discrimination by the four orienting functions of consciousness. Only the production of these four aspects makes a total description possible. The process depicted by our formula changes the originally unconscious totality into a conscious one." 

— Jung, Collected Works, Vol. 9, Part 2, Aion: Researches into the Phenomenology of the Self (1951) 

Related material: 

  The diamond theorem

"Although 'wholeness' seems at first sight to be nothing but an abstract idea (like anima and animus), it is nevertheless empirical in so far as it is anticipated by the psyche in the form of  spontaneous or autonomous symbols. These are the quaternity or mandala symbols, which occur not only in the dreams of modern people who have never heard of them, but are widely disseminated in the historical recods of many peoples and many epochs. Their significance as symbols of unity and totality is amply confirmed by history as well as by empirical psychology.  What at first looks like an abstract idea stands in reality for something that exists and can be experienced, that demonstrates its a priori presence spontaneously. Wholeness is thus an objective factor that confronts the subject independently of him… Unity and totality stand at the highest point on the scale of objective values because their symbols can no longer be distinguished from the imago Dei. Hence all statements about the God-image apply also to the empirical symbols of totality."

— Jung, Aion, as quoted in
Carl Jung and Thomas Merton

Friday, November 18, 2005

Friday November 18, 2005

Filed under: General — m759 @ 2:56 am
It’s still the same old story,
a fight for love and…

Glory

Wikipedia on the tesseract:

Glory Road (1963) included the foldbox, a hyperdimensional packing case that was bigger inside than outside.”

Robert A. Heinlein in Glory Road:

    “Rufo’s baggage turned out to be a little black box about the size and shape of a portable typewriter. He opened it.
    And opened it again.
    And kept on opening it– And kept right on unfolding its sides and letting them down until the durn thing was the size of a small moving van and even more packed….
    … Anyone who has studied math knows that the inside does not have to be smaller than the outside, in theory….  Rufo’s baggage just carried the principle further.”

Johnny Cash: “And behold, a white horse.”

On The Last Battle
, a book in the Narnia series by C. S. Lewis:

“… there is much glory in this wonderfully written apocalypse.  Tirian, looking into the stable through the hole in the door, says, ‘The stable seen from within and the stable seen from without are two different places.’ Digory answers, ‘Its inside is bigger than its outside.’  It is the perceptive Lucy who voices the hope that is in us, ‘In our world, too, a stable once had something inside it that was bigger than our whole world.'”


Lewis said in “The Weight of Glory”

 

“Do you think I am trying to weave a spell? Perhaps I am; but remember your fairy tales. Spells are used for breaking enchantments as well as for inducing them.”

On enchantments that need to be broken:

See the description of the Eater of Souls in Glory Road and of Scientism in

Tuesday, April 5, 2005

Tuesday April 5, 2005

Filed under: General — Tags: — m759 @ 1:28 am
The Garden of Good and Evil
continued

"Just the facts, ma'am" — Joe Friday

See the entry Lucky (?) Numbers of Saturday, April 2, 2005, 11:07 AM ET, for links to a few facts about the historical role of the Number of the Beast in the Pennsylvania Lottery.

The Pennsylvania Lottery mid-day drawings take place at about 1:10 PM ET.

Pope John Paul II died on Saturday, April 2, at 2:37 PM ET. 

Thus the final PA drawing of his lifetime was on that Saturday afternoon.

The winning mid-day number that day was…

034.

In the I Ching, this is the number of
The Power of the Great.

Father Richard John Neuhaus yesterday argued that John Paul II should be called "the Great."

 

Neuhaus stated that "If any phrase encapsulates the message that John Paul declared to the world, it is probably 'prophetic humanism.'"  If there is such a thing, it is probably best exemplified by the I Ching.  For further details, see Hitler's Still Point.

Father Neuhaus's argument included the following mysterious phrase:

"God's unfolding covenant with Abraham, Isaac, Jacob and Jesus."

Compare the following two passages from Holy Scripture:

Genesis 22:13

"…behold behind him
a ram caught in a thicket by his horns"

I Ching Hexagram 34

"A goat butts against a hedge
And gets its horns entangled."

A topic for discussion by the foolish:

In the current historical situation,
who is Isaac and who is the goat?

From yet another Holy Scripture,
a topic for discussion by the wise: 

“Anyone can create a pretty little bamboo garden in the world. But I doubt that the gardener would succeed in incorporating the world in his bamboo grove.”

Monday, July 26, 2004

Monday July 26, 2004

Filed under: General — Tags: — m759 @ 7:20 pm

Happy Birthday,
Carl Jung


 

Jung in Von Franz's
Psyche and Matter, p. 85:


"What the formula can only hint at is the higher plane that is reached through the process of transformation…. The change consists in an unfolding of totality into four parts four times, which means nothing less than its becoming conscious."



Jung's Model
of the Self:

 
Four Quartets:

"… history is a pattern      
Of timeless moments."

Cold Mountain, the film:

Inman: You are all that keeps me from sliding into some dark place.
Ada: But how did I keep you? We barely knew each other. A few moments.
Inman: A thousand moments. They're like a bag of tiny diamonds glittering in a black heart.

Thursday, May 27, 2004

Thursday May 27, 2004

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

Ineluctable

On the poetry of Geoffrey Hill:

"… why read him? Because of the things he writes about—war and peace and sacrifice, and the search for meaning and the truths of the heart, and for that haunting sense that, in spite of war and terror and the indifferences that make up our daily hells, there really is some grander reality, some ineluctable presence we keep touching. There remains in Hill the daunting possibility that it may actually all cohere in the end, or at least enough of it to keep us searching for more.

There is a hard edge to Hill, a strong Calvinist streak in him, and an intelligence that reminds one of Milton….."

— Paul Mariani, review in America of Geoffrey Hill's The Orchards of Syon

"Hello! Kinch here. Put me on to Edenville. Aleph, alpha: nought, nought, one." 

"A very short space of time through very short times of space…. Am I walking into eternity along Sandymount strand?"

James Joyce, Ulysses, Proteus chapter

"Time has been unfolded into space."

James O. Coplien, Bell Labs

"Pattern and symmetry are closely related."

James O. Coplien on Symmetry Breaking

"… as the critic S. L. Goldberg puts it, 'the chapter explores the Protean transformations of matter in time . . . apprehensible only in the condition of flux . . . as object . . . and Stephen himself, as subject. In the one aspect Stephen is seeking the principles of change and the underlying substance of sensory experience; in the other, he is seeking his self among its temporal manifestations'….

— Goldberg, S.L. 'Homer and the Nightmare of History.' Modern Critical Views: James Joyce. Ed. Harold Bloom. New York: Chelsea House, 1986. 21-38."

from the Choate site of David M. Loeb

In summary:

 

James Joyce
Joyce

Aleph,
alpha:
nought,
nought,
one
:

See also Time Fold.

(By the way, Jorn Barger seems
to have emerged from seclusion.)

 

Friday, October 17, 2003

Friday October 17, 2003

Filed under: General,Geometry — m759 @ 4:15 pm

Happy Birthday, Arthur Miller

Miller, the author of “The Crucible,” is what Russell Baker has called a “tribal storyteller.”

From an essay by Baker in The New York Review of Books, issue dated November 6, 2003 (Fortieth Anniversary Issue):

“Among the privileges enjoyed by rich, fat, superpower America is the power to invent public reality.  Politicians and the mass media do much of the inventing for us by telling us stories which purport to unfold a relatively simple reality.  As our tribal storytellers, they shape our knowledge and ignorance of the world, not only producing ideas and emotions which influence the way we live our lives, but also leaving us dangerously unaware of the difference between stories and reality.”

— Russell Baker, “The Awful Truth,” NYRB 11/6/03, page 8 

Here is a rather similar view of the media:

“Who Rules America?”.

The attentive student of this second essay will have no difficulty finding a single four-letter word to replace both of Baker’s phrases “rich, fat, superpower America” and “politicians and the mass media.”

Baker’s concern for “the difference between stories and reality” is reflected in my own website The Diamond Theory of Truth.  In summary:

“Is it safe?” — Sir Laurence Olivier

Wednesday, October 9, 2002

Wednesday October 9, 2002

Filed under: General — Tags: — m759 @ 5:01 pm

ART WARS:

Apollo and Dionysus

From the New York Times of October 9, 2002:

Daniel Deverell Perry, a Long Island architect who created the marble temple of art housing the Sterling and Francine Clark Art Institute in Williamstown, Mass., died Oct. 2 in Woodstock, N.Y…. He was 97.

Apollo

Clark Art Institute

Nymphs and Satyr

Elvis

From The Birth of Tragedy, by Friedrich Nietzsche (tr. by Shaun Whiteside):

Chapter 1….

To the two gods of art, Apollo and Dionysus, we owe our recognition that in the Greek world there is a tremendous opposition, as regards both origins and aims, between the Apolline art of the sculptor and the non-visual, Dionysiac art of music.

Chapter 25….

From the foundation of all existence, the Dionysiac substratum of the world, no more can enter the consciousness of the human individual than can be overcome once more by that Apolline power of transfiguration, so that both of these artistic impulses are forced to unfold in strict proportion to one another, according to the law of eternal justice.  Where the Dionysiac powers have risen as impetuously as we now experience them, Apollo, enveloped in a cloud, must also have descended to us; some future generation will behold his most luxuriant effects of beauty.

Notes: 

  • On the Clark Art Institute, from Perry’s obituary in the Times:

    “When it opened in 1955, overlooking 140 acres of fields and ponds, Arts News celebrated its elegant galleries as the ‘best organized and most highly functional museum erected anywhere.'”

  • The “Nymphs and Satyr” illustration above is on the cover of “CAI: Journal of the Clark Art Institute,” Volume 3, 2002.  It is a detail from the larger work of the same title by William Bouguereau.
  • Today, October 9, is the anniversary of the dedication in 28 B.C. of the Temple to Apollo on the Palatine Hill in Rome.  See the journal entry below, which emphasizes the point that Apollo and Dionysus are not as greatly opposed as one might think.

Sunday, September 8, 2002

Sunday September 8, 2002

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

ART WARS of September 8, 2002:

Sunday in the Park with Forge

From The New York Times obituary section of Saturday, September 7, 2002:

Andrew Forge, 78, Painter
and a Former Dean at Yale, Dies

By ROBERTA SMITH

Andrew Forge, a painter, critic, teacher and former dean of painting at the Yale School of Art, died on Wednesday [Sept. 4] in New Milford, Conn. He was 78…

[As a painter] he reduced his formal vocabulary to two small, basic units: tiny dots and short, thin dashes of paint that he called sticks. He applied those elements meticulously, by the thousands and with continual adjustments of shape, color, orientation and density until they coalesced into luminous, optically unstable fields.

These fields occasionally gave hints of landscapes or figures, but were primarily concerned with their own internal mechanics, which unfolded to the patient viewer with a quiet, riveting lushness. In a New York Times review of Mr. Forge’s retrospective at the Yale Center for British Art in 1996, John Russell wrote that “the whole surface of the canvas is mysteriously alive, composing and recomposing itself as we come to terms with it.”

Above: Untitled image from Andrew Forge: Recent Paintings, April 2001, Bannister Gallery, Rhode Island College, Providence, RI

See also

An Essay on the work of Andrew Forge
by Karen Wilkin
in The New Criterion, September 1996

From that essay:

“At a recent dinner, the conversation—fueled, I admit, by liberal amounts of very good red wine—became a kind of Socratic dialogue about the practice of art criticism…. There was… general agreement that it’s easier to find the rapier phrase to puncture inadequate or pretentious work than to come up with a verbal equivalent for the wordless experience of being deeply moved by something you believe to be first rate.”

See also my journal note of March 22, 2001, The Matthias Defense, which begins with the epigraph

Bit by bit, putting it together.
Piece by piece, working out the vision night and day.
All it takes is time and perseverance
With a little luck along the way.
— Stephen Sondheim

Sunday September 8, 2002

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

In honor of the September 8 birthdays of

From a website on Donna Tartt‘s novel The Secret History… 

“It is like a storyteller looking up suddenly into the eyes of his audience across the embers of a once blazing fire…

…the reader feels privy to the secrets of human experience by their passage down through the ages; the telling and re-telling. A phrase from the ghost in Hamlet comes to mind:

‘I could a tale unfold whose lightest word /
Would harrow up thy soul…..’ “

This work of literature seems especially relevant at the start of a new school year, and in light of my remarks below about ancient Greek religion. One should, when praising Apollo, never forget that Dionysus is also a powerful god.

For those who prefer film to the written word, I recommend “Barton Fink” as especially appropriate viewing for the High Holy Days. Judy Davis (my favorite actress) plays a Faulkner-figure’s “secretary” who actually writes most of his scripts.

Tartt is herself from Faulkner country.  For her next book, see this page from Square Books, 160 Courthouse Square, Oxford, Misssissippi.

Let us pray that Tartt fares better in real life than Davis did in the movie.

As music for the High Holy Days, I recommend Don Henley’s “The Garden of Allah.” For some background on the actual Garden of Allah Hotel at 8080 Sunset Boulevard (where “Barton Fink” might have taken place), see

NAZIMOVA AND THE GARDEN OF ALLA.

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