Log24

Saturday, June 22, 2013

Stevens and the Rock

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

Passage quoted in A Philosopher's Stone (April 4, 2013)—

This passage from Heidegger suggested the lexicon excerpt on
to hypokeimenon  (the underlying) in yesterday's post Lexicon.

A related passage:

The Eliade passage was quoted in a 1971 Ph.D. thesis
on Wallace Stevens.

Some context— Stevens's Rock in this journal.

Saturday, July 8, 2017

Forms of the Rock (continued)

Filed under: General — m759 @ 2:26 pm

Friday, February 21, 2014

Night’s Hymn of the Rock

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

One way of interpreting the symbol  IMAGE- Modal Diamond in a square 
at the end of yesterday's post is via
the phrase "necessary possibility."

See that phrase in (for instance) a post
of July 24, 2013, The Broken Tablet .

The Tablet  post may be viewed in light
of a Tom Wolfe passage quoted here on
the preceding day, July 23, 2013—

IMAGE- Tom Wolfe in 'The Painted Word' on conceptual art

On that  day (July 23) another weblog had
a post titled

Wallace Stevens: Night's Hymn of the Rock.

Some related narrative —

IMAGE- The 2001 film 'The Discovery of Heaven'

I prefer the following narrative —

Part I:  Stevens's verse from "The Rock" (1954) —
"That in which space itself is contained"

Part II:  Mystery Box III: Inside, Outside (2014)

Thursday, January 2, 2025

An Ominous Note

Filed under: General — Tags: — m759 @ 5:29 pm

The "Bronze Age" reference in the previous post suggests . . .

"… another way of making the point that this aging Omega
of a culture cannot recognize or accommodate the Alpha
that is something importantly new and vital."

HELGESON, KAREN. “‘Fully Apparent’: The Center in Stevens’
‘Credences of Summer.’” The Wallace Stevens Journal,
vol. 32, no. 1, 2008, pp. 32–54. JSTOR,
http://www.jstor.org/stable/44885050. Accessed 2 Jan. 2025.

See as well . . .

HELGESON, KAREN. “Place and Poetry in Stevens’ ‘The Rock.’”
The Wallace Stevens Journal, vol. 27, no. 1, 2003, pp. 116–31.
JSTOR, http://www.jstor.org/stable/44884834. Accessed 2 Jan. 2025.

Sunday, December 15, 2024

Odious Evening* Colors

Filed under: General — Tags: — m759 @ 10:53 am

A meditation suggested by yesterday's evening fashion news . . .

 

* A discussion of Stevens's late poem "The Rock" (1954) in
Wallace Stevens: A World of Transforming Shapes,
by Alan D. Perlis, Bucknell University Press, 1976, p. 120

"For Stevens, the poem 'makes meanings of the rock.'
In the mind, 'its barrenness becomes a thousand things/
And so exists no more.' In fact, in a peculiar irony that
only a poet with Stevens's particular notion of the imagination's
function could develop, the rock becomes the mind itself,
shattered into such diamond-faceted brilliance that it
encompasses all possibilities for human thought:

The rock is the gray particular of man's life,
The stone from which he rises, up—and—ho,
The step to the bleaker depths of his descents ...

The rock is the stern particular of the air,
The mirror of the planets, one by one,
But through man's eye, their silent rhapsodist,

Turquoise the rock, at odious evening bright
With redness that sticks fast to evil dreams;
The difficult rightness of half-risen day.

The rock is the habitation of the whole,
Its strength and measure, that which is near, point A
In a perspective that begins again

At B: the origin of the mango's rind.

                    (Collected Poems, 528)"

Related reading: "Back in Action."

Thursday, August 24, 2023

Fresh-Cull Vermilion

Filed under: General — Tags: , , — m759 @ 6:21 pm

"It is not enough to cover the rock with leaves.
We must be cured of it by a cure of the ground
Or a cure of ourselves, that is equal to a cure

Of the ground, a cure beyond forgetfulness.
And yet the leaves, if they broke into bud,
If they broke into bloom, if they bore fruit,

And if we ate the incipient colorings
Of their fresh culls might be a cure of the ground."

— "The Rock," a poem by Wallace Stevens from
a section with the same title in the Collected Poems .

The red of the watermelon eaten on the cover of the
August 28, 2023, New Yorker  is  RGB (240, 57, 53) — 
Cinnabar Red, also known as Vermilion.

For related poetic remarks, see a post of Leap Day 2004 .

Sunday, July 23, 2023

Fresh Culls

Filed under: General — Tags: , , , — m759 @ 10:28 am

"It is not enough to cover the rock with leaves.
We must be cured of it by a cure of the ground
Or a cure of ourselves, that is equal to a cure

Of the ground, a cure beyond forgetfulness.
And yet the leaves, if they broke into bud,
If they broke into bloom, if they bore fruit,

And if we ate the incipient colorings
Of their fresh culls might be a cure of the ground."

— "The Rock," a poem by Wallace Stevens from
a section with the same title in the Collected Poems .

Friday, July 21, 2023

Lyric Philosophy

Filed under: General — Tags: — m759 @ 2:01 pm
 

Friday, May 27, 2011

Rock Concert

Filed under: General — m759 @ 5:01 PM Edit This

It is not enough to cover the rock with leaves.
We must be cured of it by a cure of the ground
Or a cure of ourselves, that is equal to a cure

Of the ground, a cure beyond forgetfulness.
And yet the leaves, if they broke into bud,
If they broke into bloom, if they bore fruit,

And if we ate the incipient colorings
Of their fresh culls might be a cure of the ground.

— "The Rock," a poem by Wallace Stevens from
a section with the same title in the Collected Poems .

"A little bit of Las Vegas in the 1960s has
splashed down Off Broadway…. Actually,
the show as a whole could benefit from a softer sell."

— Charles Isherwood's review of
    "The Best Is Yet to Come"
    on page C1, NY edition, today's NY Times

"Out of the tree of life I just picked me a plum…"

Wednesday, December 21, 2016

Space Itself

Filed under: General,Geometry — m759 @ 9:00 am

Consider Stevens’s verse from “The Rock” (1954):

“That in which space itself is contained.” 

Consider also Whitehead in 1906

"This is proved by the consideration
of a three dimensional geometry in which
there are only fifteen points."

— and Stevens on the sublime (1935):

"And the sublime comes down
To the spirit itself,

The spirit and space,
The empty spirit
In vacant space."

Sunday, August 28, 2016

Angles of Vision

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

IMAGE- Review of a book on Stevens's poetry, 'The Dome and the Rock,' with the reviewer's phrase 'angles of vision.'

See also Desargues in this journal.

Sunday, January 17, 2016

Sunday School

Filed under: General — m759 @ 9:00 am

Some narrative for a ghost writer —

IMAGE- The 2001 film 'The Discovery of Heaven'

I prefer the following narrative —

Part I:  Stevens’s verse from “The Rock” (1954) —
“That in which space itself is contained”

Part II:  Mystery Box III: Inside, Outside (2014)

Tuesday, October 7, 2014

As Is

Filed under: General — Tags: , — m759 @ 10:05 pm

"That simple operator, 'as,' turns out to carry within its philosophical grammar
a remarkable complex field* of operations…."

Charles Altieri,  Painterly Abstraction in Modernist American Poetry,
Cambridge University Press, 1989, page 343

See also Rota on Heidegger (What "As" Is, July 6, 2010), and Lead Belly
on the Rock Island Line — "You got to ride it like you find it."

* Update of Oct. 10, 2014: See also "Complex + Grid" in this journal.

Saturday, June 22, 2013

Modes of Being

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

From today's earlier post, Stevens and the Rock

"Rock shows him something that transcends
the precariousness of his humanity:
an absolute mode of being.
Its strength, its motionlessness, its size
and its strange outlines
are none of them human;
they indicate the presence of something
that fascinates, terrifies, attracts and threatens,
all at once."

— Mircea Eliade, Patterns in Comparative Religion  (1958)

An object with such an "absolute mode of being"
is the plot center of a new novel discussed here previously
Max Barry's Lexicon . From a perceptive review:

I believe he’s hit on something special here.
It’s really no surprise that Matthew Vaughn
of Kick-Ass  and X-Men: First Class  fame
has bought the rights to maybe make the movie;
Lexicon  certainly has the makings of a fine film.

Or graphic  novel  Whatever.

Kitty in Uncanny X-Men #168 (April 1983)

Sunday, April 14, 2013

Space Itself

Filed under: General,Geometry — Tags: — m759 @ 9:25 am

From The Cambridge Companion to Wallace Stevens ,
John N. Serio, ed., "Stevens's Late Poetry," by B.J. Leggett,
pp. 62-75, an excerpt from page 70:

Click the above image for further details.

See also Nothingness and "The Rock" in this journal.

Further readings along these lines:

IMAGE- Parallel book covers- 'The Mystery of the Quantum World' and (adapted) 'The Stars My Destination'

For pure mathematics, rather than theories of the physical world, 
see the properties of the cube illustrated on the second (altered
book cover above.

Monday, November 19, 2012

Poetry and Truth

From today's noon post

"In all his poems with all their enchantments
for the poet himself, there is the final enchantment
that they are true. The significance of the poetic act
then is that it is evidence. It is instance and illustration.
It is an illumination of a surface,
the movement of a self in the rock.
Above all it is a new engagement with life.
It is that miracle to which the true faith of the poet
attaches itself."

— Wallace Stevens at Bard College, March 30, 1951

Stevens also said at Bard that

"When Joan of Arc said: 

Have no fear: what I do, I do by command.
My brothers of Paradise tell me what I have to do.

these words were the words of an hallucination.
No matter what her brothers of Paradise drove her to do,
what she did was never a poetic act of faith in reality
because it could not be."

There are those who would dispute this.

Some related material:

"Ageometretos me eisito."—
"Let no one ignorant of geometry enter."—
Said to be a saying of Plato, part of the
seal of the American Mathematical Society—

A poetic approach to geometry—

"A surface" and "the rock," from All Saints' Day, 2012

Spaces as Hypercubes

— and from 1981—

http://www.log24.com/log/pix09/090217-SolidSymmetry.jpg

Some mathematical background for poets in Purgatory—

"… the Klein correspondence underlies Conwell's discussion 
of eight heptads. These play an important role in another
correspondence, illustrated in the Miracle Octad Generator
of R. T. Curtis, that may be used to picture actions
of the large Mathieu group M24."

Speech

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

Speech by Wallace Stevens upon accepting
an honorary degree from Bard College in 1951

(Click to enlarge.)

Transcription of conclusion:

"In all his poems with all their enchantments
for the poet himself, there is the final enchantment
that they are true. The significance of the poetic act
then is that it is evidence. It is instance and illustration.
It is an illumination of a surface,
the movement of a self in the rock.
Above all it is a new engagement with life.
It is that miracle to which the true faith of the poet
attaches itself."

— Wallace Stevens at Bard College, March 30, 1951

Wednesday, June 29, 2011

The Shattered Mind

Filed under: General,Geometry — Tags: , — m759 @ 12:26 am

For St. Peter's Day

"For Stevens, the poem 'makes meanings of the rock.'
In the mind, 'its barrenness becomes a thousand things/
And so exists no more.' In fact, in a peculiar irony
that only a poet with Stevens's particular notion
of the imagination's function could develop,
the rock becomes the mind itself, shattered
into such diamond-faceted brilliance
that it encompasses all possibilities for human thought…."

—A discussion of Stevens's late poem "The Rock" (1954)
    in Wallace Stevens: A World of Transforming Shapes,
    by Alan D. Perlis, Bucknell University Press, 1976, p. 120

Related material on transforming shapes:

The Diamond 16 Puzzle  and…

IMAGE- The URL for permutationpuzzles.org, with favicon

Friday, May 27, 2011

Rock Concert

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

It is not enough to cover the rock with leaves.
We must be cured of it by a cure of the ground
Or a cure of ourselves, that is equal to a cure

Of the ground, a cure beyond forgetfulness.
And yet the leaves, if they broke into bud,
If they broke into bloom, if they bore fruit,

And if we ate the incipient colorings
Of their fresh culls might be a cure of the ground.

— "The Rock," a poem by Wallace Stevens from
a section with the same title in the Collected Poems .

"A little bit of Las Vegas in the 1960s has
splashed down Off Broadway…. Actually,
the show as a whole could benefit from a softer sell."

Charles Isherwood's review of
    "The Best Is Yet to Come"
    on page C1, NY edition, today's NY Times

"Out of the tree of life I just picked me a plum…"

Friday, May 20, 2011

Lottery Hermeneutics (continued)

Filed under: General — Tags: — m759 @ 3:09 pm

Recent New York Lottery numbers—

http://www.log24.com/log/pix11A/110520-RecentNYlottery.jpg

The interpretation of "056" in yesterday's
The Aleph, the Lottery, and the Eightfold Way
was not without interest, but the interpretation there
of "236" was somewhat lacking in poetic resonance.

For aspiring students of lottery hermeneutics,
here are some notes that may help. The "236" may
be reinterpreted as a page number in Stevens's
Collected Poems . It then resonates rather nicely
("answers when I ask," "visible and responsive")
with yesterday evening's "434"—

http://www.log24.com/log/pix11A/110520-StevensCP236And434-500w.jpg

For today's midday "022," see Hexagram 22: Grace in the context of the following—

http://www.log24.com/log/pix11A/110520-LaterPoetry-Hines141.jpg

As for yesterday afternoon's 609, see a particular Stevens-related page with that number…

IMAGE- Review of 'The Dome and the Rock'

For "a body of thought or poetry larger than the subject's," see The Dome of  the Rock.

Thursday, May 19, 2011

Bedrock

Filed under: General — Tags: , , , — m759 @ 11:32 am

Today's previous post suggests the following—

http://www.log24.com/log/pix11A/110519-PhaneSense.jpg

Bester on bedrock and "the bottom line of all existence" suggests
a review of Wallace Stevens's "The Rock." Some background:
See Succor, May 11, and But Seriously, May 12.
See also Waiting for Benjamin, May 15.

Larry McMurtry famously wrote of reading Walter Benjamin
at the Dairy Queen. I never read Benjamin there, but I did
read at least some of the Bester book quoted above.

The bottom lines of this peculiar meditation—

It is not enough to cover the rock with leaves.
We must be cured of it by a cure of the ground
Or a cure of ourselves, that is equal to a cure

Of the ground, a cure beyond forgetfulness.
And yet the leaves, if they broke into bud,
If they broke into bloom, if they bore fruit,

And if we ate the incipient colorings
Of their fresh culls might be a cure of the ground.

— "The Rock," a poem by Wallace Stevens from
a section with the same title in the Collected Poems .

Sunday, May 15, 2011

Waiting for Benjamin

Filed under: General — Tags: , — m759 @ 4:07 pm

Walter Benjamin, that is…  At the Dairy Queen.
    (With apologies to Parker Posey.)

"One of Benjamin's many unrealised projects was a book
that would consist only of culls from already existing material;
he would do no more than arrange and edit."
— Screenwriter Frederic Raphael, May 2011 Literary Review

Raphael is clever, but I prefer Wallace Stevens on culls—

It is not enough to cover the rock with leaves.
We must be cured of it by a cure of the ground
Or a cure of ourselves, that is equal to a cure

Of the ground, a cure beyond forgetfulness.
And yet the leaves, if they broke into bud,
If they broke into bloom, if they bore fruit,

And if we ate the incipient colorings
Of their fresh culls might be a cure of the ground.

Dairy Queen — Click to enlarge

http://www.log24.com/log/pix11A/110515-DairyQueen400w.jpg

See also Stevens and "The Rock" in this journal and today's "Shoe."

Thursday, May 5, 2011

Beyond Forgetfulness

From this journal on July 23, 2007

It is not enough to cover the rock with leaves.
We must be cured of it by a cure of the ground
Or a cure of ourselves, that is equal to a cure

Of the ground, a cure beyond forgetfulness.
And yet the leaves, if they broke into bud,
If they broke into bloom, if they bore fruit
,

And if we ate the incipient colorings
Of their fresh culls might be a cure of the ground.

– Wallace Stevens, "The Rock"

This quotation from Stevens (Harvard class of 1901) was posted here on when Daniel Radcliffe (i.e., Harry Potter) turned 18 in July 2007.

Other material from that post suggests it is time for a review of magic at Harvard.

On September 9, 2007, President Faust of Harvard

"encouraged the incoming class to explore Harvard’s many opportunities.

'Think of it as a treasure room of hidden objects Harry discovers at Hogwarts,' Faust said."

That class is now about to graduate.

It is not clear what "hidden objects" it will take from four years in the Harvard treasure room.

Perhaps the following from a book published in 1985 will help…

http://www.log24.com/log/pix11A/110505-MetamagicalIntro.gif

The March 8, 2011, Harvard Crimson  illustrates a central topic of Metamagical Themas , the Rubik's Cube—

http://www.log24.com/log/pix11A/110427-CrimsonAtlas300w.jpg

Hofstadter in 1985 offered a similar picture—

http://www.log24.com/log/pix11A/110505-RubikGlobe.gif

Hofstadter asks in his Metamagical  introduction, "How can both Rubik's Cube and nuclear Armageddon be discussed at equal length in one book by one author?"

For a different approach to such a discussion, see Paradigms Lost, a post made here a few hours before the March 11, 2011, Japanese earthquake, tsunami, and nuclear disaster—

http://www.log24.com/log/pix11A/110427-ParadigmsLost.jpg

Whether Paradigms Lost is beyond forgetfulness is open to question.

Perhaps a later post, in the lighthearted spirit of Faust, will help. See April 20th's "Ready When You Are, C.B."

Thursday, April 28, 2011

Bridal Birthday

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

The Telegraph , April 29th

Catherine Elizabeth "Kate" Middleton, born 9 January 1982,
will marry Prince William of Wales on April 29th, 2011.

This suggests, by a very illogical and roundabout process
of verbal association, a search in this journal.

A quote from that search—

“‘Memory is non-narrative and non-linear.’
— Maya Lin in The Harvard Crimson , Friday, Dec. 2, 2005

A non-narrative image from the same
general time span as the bride's birthday—

IMAGE- 'Solid Symmetry' by Steven H. Cullinane, Dec. 24, 1981

For some context, see Stevens + "The Rock" + "point A".
A post in that search, April 4th's Rock Notes, links to an essay
on physics and philosophy, "The Discrete and the Continuous," by David Deutsch.

See also the article on Deutsch, "Dream Machine," in the current New Yorker 
(May 2, 2011), and the article's author, "Rivka Galchen," in this journal.

Galchen writes very well. For example —

Galchen on quantum theory

"Our intuition, going back forever, is that to move, say, a rock, one has to touch that rock, or touch a stick that touches the rock, or give an order that travels via vibrations through the air to the ear of a man with a stick that can then push the rock—or some such sequence. This intuition, more generally, is that things can only directly affect other things that are right next to them. If A affects B without  being right next to it, then the effect in question must be in direct—the effect in question must be something that gets transmitted by means of a chain of events in which each event brings about the next one directly, in a manner that smoothly spans the distance from A to B. Every time we think we can come up with an exception to this intuition—say, flipping a switch that turns on city street lights (but then we realize that this happens through wires) or listening to a BBC radio broadcast (but then we realize that radio waves propagate through the air)—it turns out that we have not, in fact, thought of an exception. Not, that is, in our everyday experience of the world.

We term this intuition 'locality.'

Quantum mechanics has upended many an intuition, but none deeper than this one."

Monday, April 4, 2011

Rock Notes

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

An Ordinary Evening in Tennessee

"The rock is the habitation of the whole,
Its strength and measure, that which is near, point A
In a perspective that begins again

At B….." — Wallace Stevens

Related material:  The Discrete and the Continuous

Tuesday, July 20, 2010

The Corpse Express

Filed under: General,Geometry — m759 @ 2:02 am

See Malcolm Lowry's "A corpse will be transported by express!" in this journal.

From June 23

"When Plato regards geometry as the prerequisite to
philosophical knowledge, it is because geometry alone
renders accessible the realm of things eternal;
tou gar aei ontos he geometrike gnosis estin."

— Ernst Cassirer, Philosophy and Phenomenological Research,
   Volume V, Number 1, September, 1944.

Maybe.

June 23, Midsummer Eve, was the date of death for Colonel Michael Cobb.

Cobb, who died aged 93, was "a regular Army officer who in retirement produced
the definitive historical atlas of the railways of Great Britain." — Telegraph.co.uk, July 19

As for geometry, railways, and things eternal, see parallel lines converging
in Tequila Mockingbird and Bedlam Songs.

Station of the Rock Island Line

The Rock Island Line’s namesake depot 
in Rock Island, Illinois

See also Wallace Stevens on "the giant of nothingness"
in "A Primitive Like an Orb" and in Midsummer Eve's Dream

At the center on the horizon, concentrum, grave
And prodigious person, patron of origins.

Sunday, November 15, 2009

A Sermon for Hogwarts

Filed under: General,Geometry — m759 @ 9:00 am

Part I: The Search

Part II: The Rock

Related metaphors–

Three Tales

Related illustration–

The Dome of the Rock:

Dome of the Rock on NY Times online front page, 7:10 AM ET Sunday, Nov. 15, 2009

Tuesday, February 24, 2009

Tuesday February 24, 2009

 
Hollywood Nihilism
Meets
Pantheistic Solipsism

Tina Fey to Steve Martin
at the Oscars:
"Oh, Steve, no one wants
 to hear about our religion
… that we made up."

Tina Fey and Steve Martin at the 2009 Oscars

From Wallace Stevens: A World of Transforming Shapes, by Alan D. Perlis, Bucknell University Press, 1976, p. 117:

… in 'The Pediment of Appearance,' a slight narrative poem in Transport to Summer

 A group of young men enter some woods 'Hunting for the great ornament, The pediment of appearance.' Though moving through the natural world, the young men seek the artificial, or pure form, believing that in discovering this pediment, this distillation of the real, they will also discover the 'savage transparence,' the rude source of human life. In Stevens's world, such a search is futile, since it is only through observing nature that one reaches beyond it to pure form. As if to demonstrate the degree to which the young men's search is misaligned, Stevens says of them that 'they go crying/The world is myself, life is myself,' believing that what surrounds them is immaterial. Such a proclamation is a cardinal violation of Stevens's principles of the imagination.


Superficially the young men's philosophy seems to resemble what Wikipedia calls "pantheistic solipsism"– noting, however, that "This article has multiple issues."

As, indeed, does pantheistic solipsism– a philosophy (properly called "eschatological pantheistic multiple-ego solipsism") devised, with tongue in cheek, by science-fiction writer Robert A. Heinlein.

Despite their preoccupation with solipsism, Heinlein and Stevens point, each in his own poetic way, to a highly non-solipsistic topic from pure mathematics that is, unlike the religion of Martin and Fey, not made up– namely, the properties of space.

Heinlein:

"Sharpie, we have condensed six dimensions into four, then we either work by analogy into six, or we have to use math that apparently nobody but Jake and my cousin Ed understands. Unless you can think of some way to project six dimensions into three– you seem to be smart at such projections."
    I closed my eyes and thought hard. "Zebbie, I don't think it can be done. Maybe Escher could have done it."

Stevens:

A discussion of Stevens's late poem "The Rock" (1954) in Wallace Stevens: A World of Transforming Shapes, by Alan D. Perlis, Bucknell University Press, 1976, p. 120:

For Stevens, the poem "makes meanings of the rock." In the mind, "its barrenness becomes a thousand things/And so exists no more." In fact, in a peculiar irony that only a poet with Stevens's particular notion of the imagination's function could develop, the rock becomes the mind itself, shattered into such diamond-faceted brilliance that it encompasses all possibilities for human thought:

The rock is the gray particular of man's life,
The stone from which he rises, up—and—ho,
The step to the bleaker depths of his descents ...

The rock is the stern particular of the air,
The mirror of the planets, one by one,
But through man's eye, their silent rhapsodist,

Turquoise the rock, at odious evening bright
With redness that sticks fast to evil dreams;
The difficult rightness of half-risen day.

The rock is the habitation of the whole,
Its strength and measure, that which is near,
     point A
In a perspective that begins again

At B: the origin of the mango's rind.

                    (Collected Poems, 528)

Stevens's rock is associated with empty space, a concept that suggests "nothingness" to one literary critic:

B. J. Leggett, "Stevens's Late Poetry" in The Cambridge Companion to Wallace Stevens— On the poem "The Rock":

 

"… the barren rock of the title is Stevens's symbol for the nothingness that underlies all existence, 'That in which space itself is contained'….  Its subject is its speaker's sense of nothingness and his need to be cured of it."

 

This interpretation might appeal to Joan Didion, who, as author of the classic novel Play It As It Lays, is perhaps the world's leading expert on Hollywood nihilism.

More positively…

Space is, of course, also a topic
in pure mathematics…
For instance, the 6-dimensional
affine space
(or the corresponding
5-dimensional projective space)

The 4x4x4 cube

over the two-element Galois field
can be viewed as an illustration of
Stevens's metaphor in "The Rock."

Heinlein should perhaps have had in mind the Klein correspondence when he discussed "some way to project six dimensions into three." While such a projection is of course trivial for anyone who has taken an undergraduate course in linear algebra, the following remarks by Philippe Cara present a much more meaningful mapping, using the Klein correspondence, of structures in six (affine) dimensions to structures in three.

Cara:

Philippe Cara on the Klein correspondence
Here the 6-dimensional affine
space contains the 63 points
of PG(5, 2), plus the origin, and
the 3-dimensional affine
space contains as its 8 points
Conwell's eight "heptads," as in
Generating the Octad Generator.

Tuesday, February 17, 2009

Tuesday February 17, 2009

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

Diamond-Faceted:
Transformations
of the Rock

A discussion of Stevens's late poem "The Rock" (1954) in Wallace Stevens: A World of Transforming Shapes, by Alan D. Perlis, Bucknell University Press, 1976, p. 120:

For Stevens, the poem "makes meanings of the rock." In the mind, "its barrenness becomes a thousand things/And so exists no more." In fact, in a peculiar irony that only a poet with Stevens's particular notion of the imagination's function could develop, the rock becomes the mind itself, shattered into such diamond-faceted brilliance that it encompasses all possibilities for human thought:

The rock is the gray particular of man's life,
The stone from which he rises, up—and—ho,
The step to the bleaker depths of his descents ...

The rock is the stern particular of the air,
The mirror of the planets, one by one,
But through man's eye, their silent rhapsodist,

Turquoise the rock, at odious evening bright
With redness that sticks fast to evil dreams;
The difficult rightness of half-risen day.

The rock is the habitation of the whole,
Its strength and measure, that which is near,
     point A
In a perspective that begins again

At B: the origin of the mango's rind.

                    (Collected Poems, 528)

A mathematical version of
this poetic concept appears
in a rather cryptic note
from 1981 written with
Stevens's poem in mind:

http://www.log24.com/log/pix09/090217-SolidSymmetry.jpg

For some explanation of the
groups of 8 and 24
motions referred to in the note,
see an earlier note from 1981.

For the Perlis "diamond facets,"
see the Diamond 16 Puzzle.

For a much larger group
of motions, see
Solomon's Cube.

As for "the mind itself"
and "possibilities for
human thought," see
Geometry of the I Ching.

Thursday, July 3, 2008

Thursday July 3, 2008

Filed under: General — Tags: — m759 @ 7:59 am
Blasphemous Thoughts
about Thor

Commonweal on Gopnik on Chesterton:

"Gopnik thinks Chesterton’s aphorisms are better than any but Oscar Wilde’s, and he describes some of them as 'genuine Catholic koans, pregnant and profound.' For example: 'Blasphemy depends on belief, and is fading with it. If anyone doubts this, let him sit down seriously and try to think blasphemous thoughts about Thor.'"
 

Pregnant and Profound:
Douglas Adams on Thor

Kate felt quite dizzy. She didn't know exactly what it was that had just happened, but she felt pretty damn certain that it was the sort of experience that her mother would not have approved of on a first date.

"Is this all part of what we have to do to go to Asgard?" she said. "Or are you just fooling around?"

"We will go to Asgard… now," he said.

At that moment he raised his hand as if to pluck an apple, but instead of plucking he made a tiny, sharp turning movement.The effect was as if he had twisted the entire world through a billionth part of a billionth part of a degree. Everything shifted, was for a moment minutely out of focus, and then snapped back again as a suddenly different world.

The Long Dark Tea-Time of the Soul

See also
The Turning:

"A theorem proposed betwen the two–"

— Wallace Stevens, "The Rock"

The Turning: An Approach to the Theorem of Pythagoras

From The History of Mathematics,
by Roger Cooke

"… point A
In a perspective that begins again
At B…."

— Wallace Stevens, "The Rock"

Sunday, June 29, 2008

Sunday June 29, 2008

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

Big Rock

"I'm going to hit this problem
with a big rock."

– Mathematical saying,
quoted here
in July of 2006

June 28, 2007:

A professor discusses a poem by Wallace Stevens:

"Professor Eucalyptus in 'Ordinary Evening' XIV, for example, 'seeks/ God in the object itself,' but this quest culminates in his own choosing of 'the commodious adjective/ For what he sees… the description that makes it divinity, still speech… not grim/ Reality but reality grimly seen/ And spoken in paradisal parlance new'…."

– Douglas Mao, Solid Objects:Modernism and the Test of Production, Princeton University Press, 1998, p. 242
 
"God in the object" seems
unlikely to be found in the
artifact pictured on the
cover of Mao's book:
 
Cover of 'Solid Objects,' by Douglas Mao

I have more confidence
that God is to be found
in the Ping Pong balls of
  the New York Lottery….

These objects may be
regarded as supplying
a parlance that is, if not
paradisal, at least
intelligible– if only in
the context of my own
personal experience.

June 28, 2008:

NY Lottery June 28, 2008: Mid-day 629, Evening 530

These numbers can, of course,
be interpreted as symbols of
the dates 6/29 and 5/30.

The last Log24 entry of
 6/29 (St. Peter's Day):

"The rock cannot be broken.
It is the truth."
– Wallace Stevens,
"Credences of Summer"

The last Log24 entry of
5/30 (St. Joan's Day):

The Nature of Evil

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