Log24

Wednesday, September 18, 2024

Flatiron Building Timelessness . . .
Directed by Quine, not Hitchcock

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

Click the "timelessness" quote below for the "Bell, Book and Candle" scene
with Kim Novak and James Stewart atop the Flatiron Building.

"Before time began . . . ." — Optimus Prime

Saturday, August 31, 2024

Script Idea for Harlan Kane:
The Timeless Meets Time

Filed under: General — Tags: , , — m759 @ 2:44 pm

"kalosmi lokaksaya krt pravrddho"

Also on July 13, 2023 . . .

From the Publications webpage of Dan Gordon

Math Databases on the Cheap,
lightning talk at LuCaNT, July 2023.

Background from 2022 —

Gordon's informative webpage on mathematical repositories:
https://ljcr.dmgordon.org/cwm/jupyter_book/math_repos.html.

Not so cheap

See also ICERM in this  journal on November 14, 2012.

Friday, October 6, 2023

Intersection of the Timeless with Time

Filed under: General — Tags: , , — m759 @ 2:46 pm

Earlier . . .

See as well, from the above "Suits" date, Midnight in Oslo.

Thursday, September 9, 2021

Timeless Beauty, Timely Image

Filed under: General — m759 @ 2:41 am

Wednesday, April 7, 2021

Timeless  Capsules

Filed under: General — Tags: , — m759 @ 4:34 am

Drilling down . . .

My own, more abstract, academic interests are indicated by
a post from this  journal on January 20, 2020
Dyadic Harmonic Analysis: The Fourfold Square and Eightfold Cube.

Those poetically inclined may regard that post as an instance of the
“intersection of the timeless  with time.”

Sunday, November 10, 2024

Numberland: The Talladega Craftsman

Filed under: General — Tags: — m759 @ 8:42 am
 

Monday, October 17, 2011

The Craftsman

Filed under: General — m759 @ 5:24 am Edit This

A follow-up to yesterday's Sunday School

(Click on images for some background.)

IMAGE- Dennis Ritchie, Amy Adams (Talladega Nights), and the Inferno operating system

http://www.log24.com/log/pix11C/111017-InfernoOS-500w.jpg

 

Backstory—  "Plan 9 is an operating system kernel …."

Meditation— "How can you tell the craftsman from the craft?"
                          (Apologies to William Butler Yeats.)

From Summer Solstice 2023

Related tunes — "Hot Rod Lincoln" and
"Junk in the Trunk" (Planet Booty, YouTube, Feb. 27, 2019)

Friday, October 18, 2024

The Laughing Stock-Car Rally

Filed under: General — Tags: , — m759 @ 4:42 pm

The phrase "the laughing stock of the rally" suggests a flashback . . .

Related tunes — "Hot Rod Lincoln" and
"Junk in the Trunk" (Planet Booty, YouTube, Feb. 27, 2019)

Saturday, September 21, 2024

The Squarespace Gray Cube

Filed under: General — Tags: , — m759 @ 6:00 am

"Before time began . . . ." — Optimus Prime

I noticed this favicon on Sept. 18 (see post) at a publisher's webpage.

It turns out that it is not specific to the publisher, but rather to sites
hosted by Squarespace.com.  For instance . . .

See also a post on Christmas Day, 2013.

Related material from the Sept. 18 post mentioned above —

Friday, March 15, 2024

Corrections to Post from Monday, March 11

Filed under: General — Tags: — m759 @ 2:56 pm

The post, on triangles and figurate geometry, has had some
minor image corrections, and these corrections have now
also been made in a new Zenodo version.

(Some aesthetic background:  In the words of Alan D. Perlis,
that post concerns "a conception that embodies action and
the passing of time in the rigid and timeless structure of an
art form.")

Thursday, March 14, 2024

South Dakota Review:  Perlis on Faulkner

Filed under: General — Tags: — m759 @ 8:36 pm

"Alan Perlis also addresses the artist’s freezing of
time as he looks at As I Lay Dying He sees Darl as
an artist-figure who catches “action in the tension
of stopped-time” (104). Both critics link Faulkner to
John Keats, whose poetry often seeks immortality,
like that of an object such as a Grecian urn or an
Ozymandian monument. Perlis sums this up, saying
that Faulkner 'is an idealist in the manner of a Keats
or a Wallace Stevens, who ponder the paradoxical
nature of a conception that embodies action and the
passing of time in the rigid and timeless structure of
an art form.' "

The work cited:

Perlis, Alan D. “As I Lay Dying  as a Study of Time.”
South Dakota Review  10.1 (1972): 103-10

The source of the citation:

I SEE, HE SAYS, PERHAPS, ON TIME:
VISION, VOICE, HYPOTHETICAL NARRATION,
AND TEMPORALITY IN WILLIAM FAULKNER’S FICTION

*****
DISSERTATION
Presented in Partial Fulfillment of the Requirements for
The Degree Doctor of Philosophy in
the Graduate School of The Ohio State University
By David S. FitzSimmons, B.A., M.A.

*****
The Ohio State University, 2003.


A search in this  journal for Dakota yields the author Kathleen Norris.
See, for instance . . .

https://www.americamagazine.org/content/dispatches/
writing-death-and-monastic-wisdom-conversation-kathleen-norris
.

Thursday, March 7, 2024

State of the Intersection

Filed under: General — Tags: , , — m759 @ 1:12 pm

T. S. Eliot on the intersection of the timeless with time

See as well a post from this  journal on 26 Oct. 2017
and other posts now tagged Nowhere Legitimated.

Thursday, November 2, 2023

No Joke

Filed under: General — Tags: , , , — m759 @ 4:03 am
 

Saturday, April 21, 2018

Kalispell Images

A Getty logo —

For All Souls' Day —

T. S. Eliot — " intersection of the timeless with time …."

Friday, June 23, 2023

Intersectionality Studies

Filed under: General — m759 @ 11:11 pm

"… the timeless / With time … ." — T. S. Eliot

Wednesday, June 21, 2023

Snark in the Park: Stock Car Number 34

Filed under: General — Tags: — m759 @ 2:59 pm

Related tunes — "Hot Rod Lincoln" and
"Junk in the Trunk" (Planet Booty, YouTube, Feb. 27, 2019)

Tuesday, June 20, 2023

Annals of Devolution

Filed under: General — m759 @ 12:37 am
 

Timeless (TV Series)

The War to End All Wars (2018)

  • Denise Christopher : How's it going?

    Rufus Carlin : Uh, well, we printed out all the documents from the iPhone.

    Denise Christopher : Is there anything in there that would tell us a specific plan?

    Rufus Carlin : Mostly just devolves into a bunch of ranting, like "Mein Kampf" by Philip K. Dick. We can't figure it out.

    Denise Christopher : Well, there's someone who might know.

Fritz Leiber ?

Saturday, June 17, 2023

Restless Dreams

Filed under: General — Tags: — m759 @ 4:25 pm

Abigail Spencer in the "Timeless" Watergate episode

Less alone . . .

See also posts now tagged Crary Corner, and

the name  Crary.

Sunday, May 7, 2023

For the Latin Club Gang: Tabula Rasa

Filed under: General — m759 @ 1:52 am

From the previous post

From a Log24 post of February 28, 2023 —

Tuesday, April 18, 2023

Timeline:  Salem, Mass., 1628-1629

Filed under: General — Tags: — m759 @ 1:41 am

"Watch your parking meters." — Bob Dylan

Friday, April 14, 2023

“Ready when you are, C. B.”

Filed under: General — m759 @ 11:57 pm
 
“The challenge is to keep high standards of scholarship
while maintaining showmanship as well.”

— Olga Raggio, a graduate of the Vatican library school
and the University of Rome

This quote is from posts tagged The Positive.

A review of those posts was suggested by the date of a different quote,
from a "Timeless" episode that aired on January 16, 2017

Tuesday, April 11, 2023

Social Networks: Walk and Talk

Filed under: General — Tags: , , — m759 @ 8:32 pm

Sunday, April 9, 2023

Easter Egg: 404 Found!

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

Abigail Spencer in the "Timeless" Watergate episode,
and related remarks by the father, Gordon S. Wood, of
the author, Christopher S. Wood, quoted in the previous post

Tuesday, February 28, 2023

For His Nibs Andrew Cusack*

Filed under: General — Tags: — m759 @ 3:18 am

Wm. F. Buckley as Archimedes, moving the world with a giant pen as lever. The pen's point is applied to southern South America.

* See his post published at 10:00 pm on Monday 27 February 2023.
His categories and tags: Categories — Argentina Heraldry History Monarchy 
Tags — .

Friday, November 19, 2021

Sounds Like a Job for Belushi.

Filed under: General — m759 @ 2:54 pm

Or maybe Lucy.

Tuesday, October 5, 2021

Claremont Review

Filed under: General — m759 @ 2:44 pm

See as well Timeless  and Before Time Began .

Tuesday, September 7, 2021

Anatomy News

Filed under: General — m759 @ 7:57 pm

"Over the years, she’s had key roles on
'Mad Men,' 'Rectify,' 'True Blood' and 'Timeless.'
Spencer is repped by Untitled Entertainment
and United Talent." — Kate Aurthur in Variety ,
Sept. 7, 2021, 11:15 am PT.

In the Variety  story, "True Blood" may be an error.
Spencer was  in "True Detective" (Season 2).

Thursday, June 3, 2021

Notes towards the Redefinition of Culture

Filed under: General — Tags: , — m759 @ 2:11 pm

"My little horse must think it queer" — Robert Frost.

This is from a poem mentioned here on December 22, 2004,
in a post titled "The Longest Night."

Related material from December 21, 2004 —

And then there is the Timeless  Square . . .

See "Framed" (May 30) and "In Memory of Ernst Eduard Kummer" (May 14).

Thursday, May 20, 2021

Hope

Filed under: General — Tags: — m759 @ 4:11 am

From a story about the May 2017 un-cancellation ot "Timeless" —

"The nation’s only hope is an unexpected team. . . ."

As often happens.

Tuesday, May 4, 2021

Search Detail

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

If it’s a seamless whole you want, pray to Apollo.

And if it’s not? . . .

Compare and contrast:  Ex Fano .

Wednesday, April 7, 2021

Philadelphia Story

Filed under: General — m759 @ 12:22 am

For Timeless  fans, a flashback to April 8, 2016 —

See as well the above Rittenhouse date — April 8, 2016 —
in posts tagged April 8-11 2016.

Monday, April 5, 2021

For Your Consideration

Filed under: General — Tags: — m759 @ 10:23 pm

. . . And then there’s Abigail  Spencer . . . .

A line for von Braun in “Timeless” S1 E4 —

“But sometimes I hit London.”

Watch Party

Filed under: General — Tags: — m759 @ 6:37 pm

A TV episode  from 2016 —

The above “Lucy” actress in 2014 —

Compare and contrast with the homecoming
bedroom scene in De Palma’s  “Body Double” (1984).

“Like a rose under the April snow . . . .” — Streisand

Tuesday, March 16, 2021

Maybe Not So New

Filed under: General — Tags: , — m759 @ 2:39 am

Saturday, September 5, 2020

Poetry 101: “Do Not Block Intersection”

Filed under: General — m759 @ 3:15 pm

The title is from a post of July 27.

From earlier posts (Feb. 20, 2009) —

Emblematizing the Modern

The Cross of Descartes: coordinate axes

The Cross of Descartes

Note that in applications, the vertical axis of
the Cross of Descartes often symbolizes the timeless
(money, temperature, etc.) while the horizontal axis
often symbolizes time.

T.S. Eliot:

“Men’s curiosity searches past and future
And clings to that dimension. But to apprehend
The point of intersection of the timeless
With time, is an occupation for the saint….”

Midrash for LA —

Wednesday, June 24, 2020

Iconic Form

Filed under: General — Tags: — m759 @ 8:23 pm

“I appreciate simple, iconic and timeless forms —
things that can adapt or serve multiple purposes
and avoid being easily labelled. At the same time,
I love parts and fragments that reveal how things
move or work. Mostly, anything that tells its
own story and isn’t generalized or clad in some
sort of ornamental icing.”

— Charlottesville, VA, architect Fred Wolf, who seems
to have been associated with the business name
“Gauss LLC ” in Charlottesville.

Posts tagged Space Writer include —

.

Wednesday, July 10, 2019

Artifice* of Eternity …

Filed under: General — Tags: , , , — m759 @ 10:54 am

… and Schoolgirl Space

"This poem contrasts the prosaic and sensual world of the here and now
with the transcendent and timeless world of beauty in art, and the first line,
'That is no country for old men,' refers to an artless world of impermanence
and sensual pleasure."

— "Yeats' 'Sailing to Byzantium' and McCarthy's No Country for Old Men :
Art and Artifice in the New Novel,"
Steven Frye in The Cormac McCarthy Journal ,
Vol. 5, No. 1 (Spring 2005), pp. 14-20.

See also Schoolgirl Space in this  journal.

* See, for instance, Lewis Hyde on the word "artifice" and . . .

Tuesday, May 28, 2019

Quaternion at Candlebrow

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

From a Groundhog Day post in 2009 —

The Candlebrow Conference
in Pynchon's Against the Day:

The conferees had gathered here from all around the world…. Their spirits all one way or another invested in, invested by, the siegecraft of Time and its mysteries.

"Fact is, our system of so-called linear time is based on a circular or, if you like, periodic phenomenon– the earth's own spin. Everything spins, up to and including, probably, the whole universe. So we can look to the prairie, the darkening sky, the birthing of a funnel-cloud to see in its vortex the fundamental structure of everything–"

Quaternion in finite geometry
Quaternion  by  S. H. Cullinane

"Um, Professor–"….

… Those in attendance, some at quite high speed, had begun to disperse, the briefest of glances at the sky sufficing to explain why. As if the professor had lectured it into being, there now swung from the swollen and light-pulsing clouds to the west a classic prairie "twister"….

… In the storm cellar, over semiliquid coffee and farmhouse crullers left from the last twister, they got back to the topic of periodic functions….

"Eternal Return, just to begin with. If we may construct such functions in the abstract, then so must it be possible to construct more secular, more physical expressions."

"Build a time machine."

"Not the way I would have put it, but if you like, fine."

Vectorists and Quaternionists in attendance reminded everybody of the function they had recently worked up….

"We thus enter the whirlwind. It becomes the very essence of a refashioned life, providing the axes to which everything will be referred. Time no long 'passes,' with a linear velocity, but 'returns,' with an angular one…. We are returned to ourselves eternally, or, if you like, timelessly."

"Born again!" exclaimed a Christer in the gathering, as if suddenly enlightened.

Above, the devastation had begun.

"As if the professor had lectured it into being . . . ."

See other posts now tagged McLuhan Time.

Tuesday, December 11, 2018

Review

Filed under: General — m759 @ 11:00 pm

See also a theater review of a Walpurgisnacht 2008
Brooklyn Academy of Music production —

The New York Times  on the Walpurgisnacht production —

"Specifically grim but never merely glum, the production fully taps
the self-conscious theatricality of the play ('I’m warming up for
my last soliloquy,' Hamm announces toward the end) without
letting us forget that its strange figures are appallingly real,
enacting a grotesque pantomime of humanity’s hungry need to
distract itself by wresting order, meaning and a sliver of satisfaction —
just one more sugarplum, please, or maybe a Vicodin — from
the formless, aimless, timeless nothingness of life."

— Charles Isherwood

Friday, April 20, 2018

Time and Money

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

Emblematizing the Modern

The Cross of Descartes: coordinate axes

The Cross of Descartes 

Note that in applications, the vertical axis of the Cross of Descartes often symbolizes the timeless (money, temperature, etc.) while the horizontal axis often symbolizes time.

T.S. Eliot

“Men’s curiosity searches past and future
And clings to that dimension. But to apprehend
The point of intersection of the timeless
With time, is an occupation for the saint….”

Tuesday, August 29, 2017

Midnight Special

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

Primitive roots modulo 17

From a Log24 search for "Midnight Special."

Update of 12:45 AM the same night —

"I appreciate simple, iconic and timeless forms —
things that can adapt or serve multiple purposes
and avoid being easily labelled. At the same time,
I love parts and fragments that reveal how things
move or work. Mostly, anything that tells its
own story and isn’t generalized or clad in some
sort of ornamental icing."

— Charlottesville, VA, architect Fred Wolf, who seems
to have been associated with the business name
"Gauss LLC " in Charlottesville.

And I  appreciate bulk apperception.

Sunday, December 20, 2015

The Eight

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

Related material: Big Apple and Nunc Stans.

Friday, October 2, 2015

Letters

Filed under: General,Geometry — m759 @ 9:28 pm

"The close of trading today will spell a new era for Google
as the search giant becomes a part of new holding company 
Alphabet Inc." — ABC News, 1:53 PM ET today

From an Aug. 10, 2015, letter by Larry Page announcing the change:

Other business philosophy:

Strategy Rules: Five Timeless Lessons from
Bill Gates, Andy Grove, and Steve Jobs

by David B. Yoffie, Michael A. Cusumano

On Sale: 04/14/2015

A not-so-timeless lesson: a synchronicity check
(of this journal, not of the oeuvre  of Joseph Jaworski) —

04/14/2015 — Sacramental Geometry.

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 —

Monday, December 29, 2014

The Source

Filed under: General — m759 @ 5:55 pm

Bogus religion from a bogus "research lab" —

Journal of Scientific Exploration,
Vol. 18, No. 4 (2004), pp. 547-570
"Sensors, Filters, and the Source of Reality"
Robert G. Jahn and Brenda J. Dunne

Princeton Engineering Anomalies Research
Princeton University 
D-334 Engineering Quadrangle
School of Engineering/Applied Science

"… Consequently, the inferred models of reality are limited to those substances, processes, and sources of information that constitute conventional contemporary science.

In this paper we ally ourselves with the sharply contrary position that there exists a much deeper and more extensive source of reality, which is largely insulated from direct human experience, representation, or even comprehension. It is a domain that has long been posited and contemplated by metaphysicians and theologians, Jungian and Jamesian psychologists, philosophers of science, and a few contemporary progressive theoretical physicists, all struggling to grasp and to represent its essence and its function. A variety of provincial labels have been applied, such as 'Tao,' 'Qi,' 'prana,' 'void,' 'Akashic record,' 'Unus Mundi,' 'unknowable substratum,' 'terra incognita,' 'archetypal field,' 'hidden order,' 'aboriginal sensible muchness,' 'implicate order,' 'zero-point vacuum,' 'ontic (or ontological) level,' 'undivided timeless primordial reality,' among many others, none of which fully captures the sublimely elusive nature of this domain. In earlier papers we called it the 'subliminal seed regime,' (2,3) but for our present purposes we shall henceforth refer to it simply as the 'Source.' "*

References:

2. Jahn, R. G., & Dunne, B. J. (2001). A modular model of mind/matter manifestations (M5). Journal of Scientific Exploration , 15(3), 299–329.
3. Jahn, R. G. (2002). M*: Vector representation of the subliminal seed regime of M5. Journal of Scientific Exploration , 16(3), 341–357.

Note:

* This assortment of contexts, labels, or models should not be regarded as mutually exclusive or hierarchical; nor are they isomorphic to one another. Rather, they represent different perspectives on the same basic search, and hence should be respected as collectively complementary. Where they reinforce one another, or display common features, this may indicate some degree of basic insight. Where they disagree on details, testable hypotheses may present themselves.

This was quoted approvingly in a recent book by
Joseph JaworskiSource  (Berrett-Koehler Publishers
1st ed. Jan. 11, 2012, pp. 2-3).

A book unrelated, despite its title, to Michener's novel 'The Source'

Jaworski, a lawyer-turned-guru,
in 1980 founded a cult for executives
called the American Leadership Forum.

A synchronicity cult I prefer —
the Roman Catholic Church:

Tuesday, June 24, 2014

Passing in the Murk

Filed under: General — m759 @ 11:00 am

Introduction to a review of two books in
The American Interest , June 17, 2014:

“A believer and an atheist seek out their antitheses.
Do they meet somewhere in the middle,
or pass in the murk of half-baked pseudo-syntheses?”

Soundtrack:

“Waiting for the harvest, and the time of reaping,
We shall come rejoicing, passing in the murk.”

Related material:

This morning’s passage by Friedrich Gundolf.
For some backstory, see Gundolf in
Secret Germany: Stefan George and His Circle ,
by Robert E. Norton, Cornell University Press, 2002.

Monday, March 17, 2014

Collection

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

"It is a very fun happy collection
and I think it is
classic and timeless and elegant."

The late L'Wren Scott,
Vanity Fair , Nov. 20, 2013

Update of 10:30 PM ET —

"I don't want  Santana Abraxas!"

Friday, November 29, 2013

Odd Facts

Filed under: General — m759 @ 7:01 pm

"These are odd facts…." — G. H. Hardy,
quoted in the previous post, "Centered"

Other odd facts:

If is odd, then the object at the center  
of the n×n  square is a square.
Similarly for the n×n×n  cube.

Related meditation:

“In a sense, we would see that change
arises from the structure of the object,” he said.
“But it’s not from the object changing.
The object is basically timeless.”

— Theoretical physicist quoted in a
Simons Foundation article of Sept. 17, 2013,
"A Jewel at the Heart of Quantum Physics"

See also "My God, it's full of… everything."

Saturday, November 16, 2013

Mathematics and Rhetoric

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

Jim Holt in the current (Dec. 5) New York Review of Books

One form of Eros is the sexual desire aroused by the physical beauty of a particular beloved person. That, according to Diotima, is the lowest form. With philosophical refinement, however, Eros can be made to ascend toward loftier and loftier objects. The penultimate of these—just short of the Platonic idea of beauty itself—is the perfect and timeless beauty discovered by the mathematical sciences. Such beauty evokes in those able to grasp it a desire to reproduce—not biologically, but intellectually, by begetting additional “gloriously beautiful ideas and theories.” For Diotima, and presumably for Plato as well, the fitting response to mathematical beauty is the form of Eros we call love.

Consider (for example) the beauty of the rolling donut

http://www.log24.com/log/pix11C/11117-HypercubeFromMIQELdotcom.gif
            (Animation source: MIQEL.com)

Wednesday, March 13, 2013

Intersection

Filed under: General — Tags: — m759 @ 6:29 am

to apprehend
The point of intersection of the timeless
With time, is an occupation for the saint

Four Quartets

The sign of the crossroads at Stanford

Intersection sign,
courtesy of Donald Knuth

Related material:

The previous post and Fourfold in this journal.

Monday, December 24, 2012

Eternal Recreation

Memories, Dreams, Reflections
by C. G. Jung

Recorded and edited By Aniela Jaffé, translated from the German
by Richard and Clara Winston, Vintage Books edition of April 1989

From pages 195-196:

"Only gradually did I discover what the mandala really is:
'Formation, Transformation, Eternal Mind's eternal recreation.'*
And that is the self, the wholeness of the personality, which if all
goes well is harmonious, but which cannot tolerate self-deceptions."

* Faust , Part Two, trans. by Philip Wayne (Harmondsworth,
England, Penguin Books Ltd., 1959), p. 79. The original:

                   … Gestaltung, Umgestaltung, 
  Des ewigen Sinnes ewige Unterhaltung….

Jung's "Formation, Transformation" quote is from the realm of
the Mothers (Faust Part Two, Act 1, Scene 5: A Dark Gallery).
The speaker is Mephistopheles.

See also Prof. Bruce J. MacLennan on this realm
in a Web page from his Spring 2005 seminar on Faust:

"In alchemical terms, F is descending into the dark, formless
primary matter from which all things are born. Psychologically
he is descending into the deepest regions of the
collective unconscious, to the source of life and all creation.
Mater (mother), matrix (womb, generative substance), and matter
all come from the same root. This is Faust's next encounter with
the feminine, but it's obviously of a very different kind than his
relationship with Gretchen."

The phrase "Gestaltung, Umgestaltung " suggests a more mathematical
approach to the Unterhaltung . Hence

Part I: Mothers

"The ultimate, deep symbol of motherhood raised to
the universal and the cosmic, of the birth, sending forth,
death, and return of all things in an eternal cycle,
is expressed in the Mothers, the matrices of all forms,
at the timeless, placeless originating womb or hearth
where chaos is transmuted into cosmos and whence
the forms of creation issue forth into the world of
place and time."

— Harold Stein Jantz, The Mothers in Faust:
The Myth of Time and Creativity 
,
Johns Hopkins Press, 1969, page 37

Part II: Matrices

        

Part III: Spaces and Hypercubes

Click image for some background.

Part IV: Forms

Forms from the I Ching :

Click image for some background.

Forms from Diamond Theory :

Click image for some background.

Friday, October 26, 2012

The Malfunctioning TARDIS

Filed under: General,Geometry — m759 @ 11:01 am

From a Sept. 17, 2010, post of Peter J. Cameron
that was linked to here at 8 AM ET today

In a recurring motif in the second Quartet, “East Coker”, Eliot says,

Time future and time past
Are both somehow contained in time present

and, in “Little Gidding”,

… to apprehend
The point of intersection of the timeless
With time, is an occupation for the saint

This should read instead…

In a recurring motif in the first Quartet, “Burnt Norton”, Eliot says,

Time present and time past
Are both perhaps present in time future
And time future contained in time past

and, in “The Dry Salvages”,

… to apprehend
The point of intersection of the timeless
With time, is an occupation for the saint

Related material from this journal in 2003

Saturday, July 28, 2012

Claremont Review

Filed under: General — m759 @ 3:00 pm

On painter Karl Benjamin of Claremont, California,
who reportedly died on Thursday

He played them music
and everything was concentrated and timeless
and all were artists 'til the bell rang.

Another remark from Claremont—

"'Once upon a time' used to be a gateway to
a land that was inviting precisely because
it was timeless, like the stories it introduced
and their ageless lessons about the human condition."

– Dorothea Israel Wolfson, 
   Claremont Review of Books, Summer 2006

Benjamin was a professor emeritus at Pomona College.

Wednesday, November 10, 2010

Scavenger Hunt

Filed under: General — m759 @ 3:09 am

A description in Pynchon's Against the Day  of William Rowan Hamilton's October 16th, 1843, discovery of quaterions—

"The moment, of course, is timeless. No beginning, no end, no duration, the light in eternal descent, not the result of conscious thought but fallen onto Hamilton, if not from some Divine source then at least when the watchdogs of Victorian pessimism were sleeping too soundly to sense, much less frighten off, the watchful scavengers of Epiphany."

New York Lottery yesterday, on Hermann Weyl's birthday— Midday 106, Evening 865.

http://www.log24.com/log/pix10B/101110-WeylAndDiamond.jpg

Here 106 suggests 1/06, the date of Epiphany, and 865 turns out to be the title number of Weyl's Symmetry  at Princeton University Press—

http://press.princeton.edu/titles/865.html.

Symmetry and quaternions are, of course, closely related.

Friday, September 17, 2010

Fade to Blacker

Filed under: General,Geometry — Tags: , , — m759 @ 1:22 pm

From Peter J. Cameron's web journal today—

Eliot’s Four Quartets  has been one of my favourite works of poetry since I was a student…. 

Of course, a poem doesn’t have a single meaning, especially one as long and complex as Four Quartets.  But to me the primary meaning of the poem is about the relationship between time and eternity, which is something maybe of interest to mathematicians as well as to mystics.

Curiously, the clearest explanation of what Eliot is saying that I have found is in a completely different work, Pilgrimage of Dreams  by the artist Thetis Blacker, in which she describes a series of dreams she had which stood out as being completely different from the confusion of normal dreaming. In one of these dreams, “Mr Goad and the Cathedral”, we find the statements

“Eternity isn’t a long time

and

“Eternity is always now, but …”
“Now isn’t always eternity”.

In other words, eternity is not the same as infinity; it is not the time line stretched out to infinity. Rather, it is an intimation of a different dimension, which we obtain only because we are aware of the point at which that dimension intersects the familiar dimension of time. In a recurring motif in the second Quartet, “East Coker”, Eliot says,

Time future and time past
Are both somehow contained in time present

and, in “Little Gidding”,

   … to apprehend
The point of intersection of the timeless
With time, is an occupation for the saint

From this  journal on the date of Blacker's death
what would, if she were a Catholic saint, be called her dies natalis

Monday December 18, 2006

m759 @ 7:20 AM
 
Fade to Black:

Martin Gardner in the Notices of the American Mathematical SocietyJune/July 2005 (pdf):

“I did a column in Scientific American  on minimal art, and I reproduced one of Ed Rinehart’s [sic ] black paintings.  Of course, it was just a solid square of pure black.”

Black square 256x256

Click on picture for details.

The Notices of the American Mathematical SocietyJanuary 2007 (pdf):

“This was just one of the many moments in this sad tale when there were no whistle-blowers. As a result the entire profession has received a very public and very bad black mark.”

– Joan S. Birman
Professor Emeritus of Mathematics
Barnard College and
Columbia University

Tuesday, February 2, 2010

Time After Time

Filed under: General — m759 @ 12:00 am

Godmother and Cinderella

http://www.log24.com/log/pix10/100202-StreepAdams.jpg

Meryl Streep and Amy Adams in "Julie & Julia"

The image is from gossipsauce.com on August 2, 2009.

For a darker Godmother/Cinderella pair,
see the film discussed in this journal
on that same date (Lughnasa 2009).

A thought from Pynchon's Against the Day quoted here on Groundhog Day a year ago today

“We thus enter the whirlwind. It becomes the very essence of a refashioned life, providing the axes to which everything will be referred. Time no long ‘passes,’ with a linear velocity, but ‘returns,’ with an angular one…. We are returned to ourselves eternally, or, if you like, timelessly.”

“Born again!” exclaimed a Christer in the gathering, as if suddenly enlightened.

Saturday, August 15, 2009

Saturday August 15, 2009

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

For St. Willard
Van Orman Quine

                          " ... to apprehend
The point of intersection of the timeless
With time, is an occupation for the saint"
-- Four Quartets

http://www.log24.com/log/pix09A/090815-QuineKyoto.gif

Quine receives
Kyoto Prize

The Timeless:

http://www.log24.com/log/pix09A/090815-Grid8x8.gif


Time

(64 years,
and more):

Today in History

Today is Saturday, Aug. 15, the 227th day of 2009. There are 138 days left in the year.

Today’s Highlight in History:

On Aug. 15, 1945, Japanese Emperor Hirohito announced to his subjects in a prerecorded radio address that Japan had accepted terms of surrender for ending World War II.

On this date:

In 1057, Macbeth, King of Scots, was killed in battle by Malcolm, the eldest son of King Duncan, whom Macbeth had slain.


Macbeth:

"Life's but a walking shadow, a poor player
 That struts and frets his hour upon the stage
And then is heard no more: it is a tale
Told by an idiot, full of sound and fury,
Signifying nothing."

Quine:

“I really have nothing to add.”
— Quine, quoted
on this date in 1998.

Friday, July 3, 2009

Friday July 3, 2009

Filed under: General — Tags: — m759 @ 6:00 am
Damnation Morning
continued

“The tigers of wrath are wiser
    than the horses of instruction.”

Blake

“… the moment is not
properly an atom of time
 but an atom of eternity.
 It is the first reflection
 of eternity in time, its first
attempt, as it were, at
       stopping time….”
 
Kierkegaard

Symmetry Axes
of the Square:

Symmetry axes of the square

(Damnation Morning)

From the cover of the
 Martin Cruz Smith novel
Stallion Gate:

Image of an atom from the cover of the novel 'Stallion Gate'

A Monolith
for Kierkegaard:


Images of time and eternity in memory of Michelangelo


Todo lo sé por el lucero puro
que brilla en la diadema de la Muerte.

Rubén Darío

Related material:

The deaths of
 Ernest Hemingway
on the morning of
Sunday, July 2, 1961,
and of Alexis Arguello
on the morning of
Wednesday, July 1, 2009.
See also philosophy professor
Clancy Martin in the
London Review of Books
(issue dated July 9, 2009)
 on AA members as losers
“the ‘last men,’ the nihilists,
 the hopeless ones.”

Tuesday, March 3, 2009

Tuesday March 3, 2009

Filed under: General — m759 @ 11:32 am
Straight

“For every kind of vampire,
there is a kind of cross.”

— Thomas Pynchon in  
Gravity’s Rainbow

This entry is continued
from yesterday evening,
from midnight last night,
and from an entry of
 February 20 (the date
four years ago of
 Hunter Thompson’s death)–
  “Emblematizing the Modern“–

Emblematizing the Modern

Note that in applications, the vertical axis of the Cross of Descartes often symbolizes the timeless (money, temperature, etc.) while the horizontal axis often symbolizes time.

T.S. Eliot:


“Men’s curiosity searches past and future
And clings to that dimension. But to apprehend
The point of intersection of the timeless
With time, is an occupation for the saint….”

“I played ‘Deathmaster’ straight….
 The best villains are the ones who are
 both protagonist and antagonist.”
The late Robert Quarry

“Selah.”
The late Hunter Thompson

'Deathmaster' Robert Quarry and gonzo journalist Hunter Thompson, who both died on a February 20

Yesterday afternoon’s online
New York Times:

NY Times online front page, 5 PM March 2, 2009-- graph of stock market plunge

Today’s online New York Times:

Footnote

Descending financial graph's arrow strikes man's pants cuff, immobilizing him

Saturday, February 21, 2009

Saturday February 21, 2009

Filed under: General — m759 @ 10:10 am
The Graduate

Today’s New York Times:

New York Times executive Mary Jacobus dies at 52

The Times goes on to say…

“A native of Buffalo, Ms. Jacobus
graduated from Le Moyne College
in Syracuse.”

She died yesterday.

A quotation from
yesterday’s entries
may be relevant:

“Men’s curiosity searches past and future
And clings to that dimension. But to apprehend
The point of intersection of the timeless
With time, is an occupation for the saint….”

— T. S. Eliot, Four Quartets

  
In memory of Mary Jacobus-- Clint Eastwood sings 'Accentuate the Positive'

Related material:

From a previous appearance
of the Eastwood meditation
in this journal:

Masks of comedy and tragedy

Click on image
for details.

Friday, February 20, 2009

Friday February 20, 2009

Filed under: General,Geometry — Tags: , , — m759 @ 2:01 pm
Emblematizing
 the Modern
 

The following meditation was
inspired by the recent fictional
recovery, by Mira Sorvino
in "The Last Templar,"

of a Greek Cross —
"the Cross of Constantine"–
and by the discovery, by
art historian Rosalind Krauss,
of a Greek Cross in the
art of Ad Reinhardt.

http://www.log24.com/log/pix09/090220-CrossOfDescartes.jpg

The Cross of Descartes  

Note that in applications, the vertical axis
of the Cross of Descartes often symbolizes
the timeless (money, temperature, etc.)
while the horizontal axis often symbolizes time.


T.S. Eliot:

"Men’s curiosity searches past and future
And clings to that dimension. But to apprehend
The point of intersection of the timeless
With time, is an occupation for the saint…."


There is a reason, apart from her ethnic origins, that Rosalind Krauss (cf. 9/13/06) rejects, with a shudder, the cross as a key to "the Pandora's box of spiritual reference that is opened once one uses it." The rejection occurs in the context of her attempt to establish not the cross, but the grid, as a religious symbol:
 

"In suggesting that the success [1] of the grid
is somehow connected to its structure as myth,
I may of course be accused of stretching a point
beyond the limits of common sense, since myths
are stories, and like all narratives they unravel
through time, whereas grids are not only spatial
to start with, they are visual structures
that explicitly reject a narrative
or sequential reading of any kind.

[1] Success here refers to
three things at once:
a sheerly quantitative success,
involving the number of artists
in this century who have used grids;
a qualitative success through which
the grid has become the medium
for some of the greatest works
of modernism; and an ideological
success, in that the grid is able–
in a work of whatever quality–
to emblematize the Modern."

— Rosalind Krauss, "Grids" (1979)

Related material:

Time Fold and Weyl on
objectivity and frames of reference.

See also Stambaugh on
The Formless Self
as well as
A Study in Art Education
and
Jung and the Imago Dei.

Monday, February 2, 2009

Monday February 2, 2009

Filed under: General,Geometry — Tags: , — m759 @ 10:30 am

Against the Day

is a novel by Thomas Pynchon
published on Nov. 21, 2006, in
hardcover, and in paperback on
Oct. 30, 2007 (Devil's Night).

Perhaps the day the title
refers to is one of the above
dates… or perhaps it is–

Groundhog Day

The Candlebrow Conference
in Pynchon's Against the Day:

The conferees had gathered here from all around the world…. Their spirits all one way or another invested in, invested by, the siegecraft of Time and its mysteries.

"Fact is, our system of so-called linear time is based on a circular or, if you like, periodic phenomenon– the earth's own spin. Everything spins, up to and including, probably, the whole universe. So we can look to the prairie, the darkening sky, the birthing of a funnel-cloud to see in its vortex the fundamental structure of everything–"

Quaternion in finite geometry
Quaternion by
S. H. Cullinane

"Um, Professor–"….

… Those in attendance, some at quite high speed, had begun to disperse, the briefest of glances at the sky sufficing to explain why. As if the professor had lectured it into being, there now swung from the swollen and light-pulsing clouds to the west a classic prairie "twister"….

… In the storm cellar, over semiliquid coffee and farmhouse crullers left from the last twister, they got back to the topic of periodic functions….

"Eternal Return, just to begin with. If we may construct such functions in the abstract, then so must it be possible to construct more secular, more physical expressions."

"Build a time machine."

"Not the way I would have put it, but if you like, fine."

Vectorists and Quaternionists in attendance reminded everybody of the function they had recently worked up….

"We thus enter the whirlwind. It becomes the very essence of a refashioned life, providing the axes to which everything will be referred. Time no long 'passes,' with a linear velocity, but 'returns,' with an angular one…. We are returned to ourselves eternally, or, if you like, timelessly."

"Born again!" exclaimed a Christer in the gathering, as if suddenly enlightened.

Above, the devastation had begun.

 
Related material:
Yesterday's entry and
Pynchon on Quaternions.

Happy birthday,
James Joyce.

Tuesday, January 27, 2009

Tuesday January 27, 2009

Filed under: General — m759 @ 12:00 pm
A Kind of Cross

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

Page 16 of the New Directions 'Stephen Hero,' 1963

The above text on Joyce’s theory of epiphanies:

“It emphasizes the radiance, the effulgence, of the thing itself revealed in a special moment, an unmoving moment, of time. The moment, as in the macrocosmic lyric of Finnegans Wake, may involve all other moments, but it still remains essentially static, and though it may have all time for its subject matter it is essentially timeless.”

— Page 17 of Stephen Hero, by James Joyce, Theodore Spencer, John J. Slocum, and Herbert Cahoon, Edition: 16, New Directions Publishing, 1963

Related epiphanies —

Detail from
the above text:
The word 'epiphanies' followed by a footnote dagger
Cover of
a paperback novel
well worth reading:

Dagger on the cover of 'Fraternity of the Stone,' by David Morrell

Related material:

“Joyce knew no Greek.”
— Statement by the prototype
of Buck Mulligan in Ulysses,
Oliver St. John Gogarty,
quoted in the above
New Directions Stephen Hero

Chrysostomos.”
— Statement in Ulysses
by the prototype
of Stephen Dedalus,
James Augustine Aloysius Joyce

See also the link to
Mardi Gras, 2008,
in yesterday’s entry,
with its text from
the opening of Ulysses:

“He faced about and
blessed gravely thrice
the tower,
the surrounding country
 and the awaking mountains.”

Some context:

(Click on images for details.)

'The Prisoner,' Episode One, frame at 7:59, map of The Village

and

Escher's 'Metamorphose III,' chessboard endgame

“In the process of absorbing
the rules of the institutions
we inhabit, we become
who we are.”

David Brooks, Jewish columnist,
in today’s New York Times

The Prisoner,
Episode One, 1967:
I… I meant a larger map.”

Tuesday, November 6, 2007

Tuesday November 6, 2007

Filed under: General — m759 @ 12:25 pm
The Third Person

Of Modern Art


The New York Times
November 6, 2007

More on the Career of
the Genius Who Boldly
Compared Himself to God

By MICHIKO KAKUTANI

“Picasso… once said…

‘… No wonder his [Picasso’s] style is so ambiguous. It’s like God’s. God is really only another artist. He invented the giraffe, the elephant and the cat. He has no real style. He just keeps on trying other things. The same with this sculptor….’

The comparison to God, like the use of the third person, was deliberate, of course.”

Of Modern Poetry

The poem of the mind
    in the act of finding
What will suffice ….
                            … It has
To construct a new stage.
    It has to be on that stage,
And, like an insatiable actor,
    slowly and
With meditation, speak words
    that in the ear,
In the delicatest ear
    of the mind, repeat,
Exactly, that which it
    wants to hear, at the sound
Of which, an invisible
    audience listens,
Not to the play, but to
    itself, expressed
In an emotion as of
    two people, as of two
Emotions becoming one.
   The actor is
A metaphysician in the dark….

— Wallace Stevens in
    Parts of a World, 1942


Of Modern Metaphysics

“For every work [or act] of creation is threefold, an earthly trinity to match the heavenly.

First, [not in time, but merely in order of enumeration] there is the Creative Idea, passionless, timeless, beholding the whole work complete at once, the end in the beginning: and this is the image of the Father.

Second, there is the Creative Energy [or Activity] begotten of that idea, working in time from the beginning to the end, with sweat and passion, being incarnate in the bonds of matter: and this is the image of the Word.

Third, there is the Creative Power, the meaning of the work and its response in the lively soul: and this is the image of the indwelling Spirit.

And these three are one, each equally in itself the whole work, whereof none can exist without other: and this is the image of the Trinity.”

— Concluding speech of St. Michael the Archangel in a 1937 play, “The Zeal of Thy House,” by Dorothy Sayers, as quoted in her 1941 book The Mind of the Maker. That entire book was, she wrote, an expansion of St. Michael’s speech.

Related material:

Friday, June 15, 2007

Friday June 15, 2007

Filed under: General,Geometry — Tags: , , — m759 @ 1:00 pm
A Study in
Art Education

Rudolf Arnheim, a student of Gestalt psychology (which, an obituary notes, emphasizes "the perception of forms as organized wholes") was the first Professor of the Psychology of Art at Harvard.  He died at 102 on Saturday, June 9, 2007.

The conclusion of yesterday's New York Times obituary of Arnheim:

"… in The New York Times Book Review in 1986, Celia McGee called Professor Arnheim 'the best kind of romantic,' adding, 'His wisdom, his patient explanations and lyrical enthusiasm are those of a teacher.'"

A related quotation:

"And you are teaching them a thing or two about yourself. They are learning that you are the living embodiment of two timeless characterizations of a teacher: 'I say what I mean, and I mean what I say' and 'We are going to keep doing this until we get it right.'"

Tools for Teaching

Here, yet again, is an illustration that has often appeared in Log24– notably, on the date of Arnheim's death:
 

The 3x3 square

Related quotations:

"We have had a gutful of fast art and fast food. What we need more of is slow art: art that holds time as a vase holds water: art that grows out of modes of perception and whose skill and doggedness make you think and feel; art that isn't merely sensational, that doesn't get its message across in 10 seconds, that isn't falsely iconic, that hooks onto something deep-running in our natures. In a word, art that is the very opposite of mass media. For no spiritually authentic art can beat mass media at their own game."

Robert Hughes, speech of June 2, 2004

"Whether the 3×3 square grid is fast art or slow art, truly or falsely iconic, perhaps depends upon the eye of the beholder."

Log24, June 5, 2004

If the beholder is Rudolf Arnheim, whom we may now suppose to be viewing the above figure in the afterlife, the 3×3 square is apparently slow art.  Consider the following review of his 1982 book The Power of the Center:

"Arnheim deals with the significance of two kinds of visual organization, the concentric arrangement (as exemplified in a bull's-eye target) and the grid (as exemplified in a Cartesian coordinate system)….

It is proposed that the two structures of grid and target are the symbolic vehicles par excellence for two metaphysical/psychological stances.  The concentric configuration is the visual/structural equivalent of an egocentric view of the world.  The self is the center, and all distances exist in relation to the focal spectator.  The concentric arrangement is a hermetic, impregnable pattern suited to conveying the idea of unity and other-worldly completeness.  By contrast, the grid structure has no clear center, and suggests an infinite, featureless extension…. Taking these two ideal types of structural scaffold and their symbolic potential (cosmic, egocentric vs. terrestrial, uncentered) as given, Arnheim reveals how their underlying presence organizes works of art."

— Review of Rudolf Arnheim's The Power of the Center: A Study of Composition in the Visual Arts (Univ. of Calif. Press, 1982). Review by David A. Pariser, Studies in Art Education, Vol. 24, No. 3 (1983), pp. 210-213

Arnheim himself says in this book (pp. viii-ix) that "With all its virtues, the framework of verticals and horizontals has one grave defect.  It has no center, and therefore it has no way of defining any particular location.  Taken by itself, it is an endless expanse in which no one place can be distinguished from the next.  This renders it incomplete for any mathematical, scientific, and artistic purpose.  For his geometrical analysis, Descartes had to impose a center, the point where a pair of coordinates [sic] crossed.  In doing so he borrowed from the other spatial system, the centric and cosmic one."

Students of art theory should, having read the above passages, discuss in what way the 3×3 square embodies both "ideal types of structural scaffold and their symbolic potential."

We may imagine such a discussion in an afterlife art class– in, perhaps, Purgatory rather than Heaven– that now includes Arnheim as well as Ernst Gombrich and Kirk Varnedoe.

Such a class would be one prerequisite for a more advanced course– Finite geometry of the square and cube.

Tuesday, February 27, 2007

Tuesday February 27, 2007

Filed under: General,Geometry — m759 @ 9:25 pm
Suggested by today’s 
New York Times story
on a Harvard student’s
research on pattern in
Islamic art —

and in memory of
George Sadek

From Log24 in July 2005:

Intersections

A Trinity Sunday sermon
quotes T. S. Eliot:

“… to apprehend
The point of intersection of the timeless
With time, is an occupation for the saint.”

See also The Diamond Project.

Related material:

                                  ” … an alphabet
By which to spell out holy doom and end,
A bee for the remembering of happiness.”

— Wallace Stevens,
“The Owl in the Sarcophagus”

The image “http://www.log24.com/theory/images/HeathI47A-Illustrations.jpg” cannot be displayed, because it contains errors.

Some context for these figures:
The Diamond Theory of Truth

Wednesday, August 23, 2006

Wednesday August 23, 2006

Filed under: General — m759 @ 2:45 am
Same Time
Last Year
:

The image “http://www.log24.com/log/pix05B/050823-Poet.jpg” cannot be displayed, because it contains errors.

“‘Once upon a time’ used to be a gateway to a land that was inviting precisely because it was timeless, like the stories it introduced and their ageless lessons about the human condition.”

— Dorothea Israel Wolfson, Claremont Review of Books, Summer 2006

“It’s quarter to three…” –Sinatra

Monday, December 19, 2005

Monday December 19, 2005

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

From last night:

“There is an
underlying timelessness
in the basic conversation
that is mathematics
.”
Barry Mazur (pdf)

From today’s New York Times:

“The authors of the etiquette book The Art of Civilized Conversation say that conversation’s versatility makes it ‘the Swiss Army knife of social skills.'”

Then there is
the broken beer bottle
school of etiquette:

The image “http://www.log24.com/log/pix05B/051219-Bar1.jpg” cannot be displayed, because it contains errors.

Monday December 19, 2005

Filed under: General,Geometry — Tags: , — m759 @ 2:45 am
 "There is an
underlying timelessness
in the basic conversation
that is mathematics
."
Barry Mazur (pdf)

It's Quarter to Three
(continued):

 
"I could tell you a lot
but you gotta be
 true to your code."
— Sinatra

Today is the birthday of Helmut Wielandt (Dec. 19, 1910 – Feb. 14, 2001).

From MacTutor:

"In his speech accepting membership of the Heidelberg Academy in 1960 he said:-

It is to one of Schur's seminars that I owe the stimulus to work with permutation groups, my first research area. At that time the theory had nearly died out. It had developed last century, but at about the turn of the century had been so completely superseded by the more generally applicable theory of abstract groups that by 1930 even important results were practically forgotten – to my mind unjustly."

Permutation groups are still not without interest.  See today's updates (Notes [01] and [02]) to Pattern Groups.

 

Sunday, December 11, 2005

Sunday December 11, 2005

Filed under: General — m759 @ 6:00 pm

Classic Sixties

The image “http://www.log24.com/log/pix05B/051211-Collins.jpg” cannot be displayed, because it contains errors.

“And Jesus was a sailor
When he walked
   upon the water…”
Leonard Cohen   

meets the timeless
Satori at Pearl Harbor:

“Mercilessly tasteful.”
 — Andrew Mueller,
review of Suzanne Vega’s
Songs in Red and Gray

Related material:

The image “http://www.log24.com/log/pix05B/051211-SpiritWhole.jpg” cannot be displayed, because it contains errors.

Philosophy in
Blue and Green

Monday, October 31, 2005

Monday October 31, 2005

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

Balance

The image “http://log24.com/log/pix03/030109-gridsmall.gif” cannot be displayed, because it contains errors.

"An asymmetrical balance is sought since it possesses more movement. This is achieved by the imaginary plotting of the character upon a nine-fold square, invented by some ingenious writer of the Tang dynasty. If the square were divided in half or in four, the result would be symmetrical, but the nine-fold square permits balanced asymmetry."

— Chiang Yee, Chinese Calligraphy, quoted in Aspen no. 10, item 8

"'Burnt Norton' opens as a meditation on time. Many comparable and contrasting views are introduced. The lines are drenched with reminiscences of Heraclitus' fragments on flux and movement….  the chief contrast around which Eliot constructs this poem is that between the view of time as a mere continuum, and the difficult paradoxical Christian view of how man lives both 'in and out of time,' how he is immersed in the flux and yet can penetrate to the eternal by apprehending timeless existence within time and above it. But even for the Christian the moments of release from the pressures of the flux are rare, though they alone redeem the sad wastage of otherwise unillumined existence. Eliot recalls one such moment of peculiar poignance, a childhood moment in the rose-garden– a symbol he has previously used, in many variants, for the birth of desire. Its implications are intricate and even ambiguous, since they raise the whole problem of how to discriminate between supernatural vision and mere illusion. Other variations here on the theme of how time is conquered are more directly apprehensible. In dwelling on the extension of time into movement, Eliot takes up an image he had used in 'Triumphal March': 'at the still point of the turning world.' This notion of 'a mathematically pure point' (as Philip Wheelwright has called it) seems to be Eliot's poetic equivalent in our cosmology for Dante's 'unmoved Mover,' another way of symbolising a timeless release from the 'outer compulsions' of the world. Still another variation is the passage on the Chinese jar in the final section. Here Eliot, in a conception comparable to Wallace Stevens' 'Anecdote of the Jar,' has suggested how art conquers time:

       Only by the form, the pattern,
Can words or music reach
The stillness, as a Chinese jar still
Moves perpetually in its stillness."

— F. O. Matthiessen, The Achievement of T.S. Eliot,
Oxford University Press, 1958, as quoted in On "Burnt Norton"

 

Sunday, July 3, 2005

Sunday July 3, 2005

Filed under: General — m759 @ 2:28 pm

Intersections

1. Blue Ridge meets Black Mountain,

2. Vertical meets horizontal in music,

3. The timeless meets time in religion.

Details:

1. Blue Ridge, Black Mountain

Montreat College is located in the beautiful Blue Ridge Mountains of Western North Carolina…. The Black Mountain Campus is… three miles from the main campus in the historic town of Black Mountain.”

Black Mountain College was “established on the Blue Ridge Assembly grounds outside the town of Black Mountain in North Carolina in the fall of 1933.”

USA Today, May 15, 2005, on Billy Graham
:

“MONTREAT, N.C. — … It’s here at his… homestead, where the Blue Ridge meets the Black Mountain range east of Asheville, that Graham gave a rare personal interview.”

See also the following from June 24:


The image “http://www.log24.com/log/pix05A/050624-Cross.jpg” cannot be displayed, because it contains errors.

“No bridge reaches God, except one…
God’s Bridge: The Cross.”

— Billy Graham Evangelistic Association,
according to messiahpage.com

For some remarks more in the spirit of Black Mountain than of the Blue Ridge, see today’s earlier entry on pianist Grete Sultan and composer Tui St. George Tucker.

2. Vertical, Horizontal in Music

Richard Neuhaus on George Steiner’s
Grammars of Creation
:

 “… the facts of the world are not and will never be ‘the end of the matter.’ Music joins grammar in pointing to the possibility, the reality, of more. He thinks Schopenhauer was on to something when he said music will continue after the world ends.

‘The capacity of music to operate simultaneously along horizontal and vertical axes, to proceed simultaneously in opposite directions (as in inverse canons), may well constitute the nearest that men and women can come to absolute freedom.  Music does “keep time” for itself and for us.'”

3. Timeless, Time

A Trinity Sunday sermon quotes T. S. Eliot:

“… to apprehend
The point of intersection of the timeless
With time, is an occupation for the saint.”

See also The Diamond Project.

Update of July 8, 2005, 3 AM:

A Bridge for Private Ryan

The image “http://www.log24.com/log/pix05A/050708-RyansBridge.jpg” cannot be displayed, because it contains errors.

In memory of actor
Harrison Richard Young, 75,
who died on Sunday, July 3, 2005

Monday, August 9, 2004

Monday August 9, 2004

Filed under: General — m759 @ 4:00 am

Shape Note

A variation on the theme of the previous entry, Quartet.

 The first
crossword puzzle:
The image “http://www.log24.com/log/pix04A/040715-Selim.gif” cannot be displayed, because it contains errors.
 

Derek Taunt

As in the previous entry, the illustration on the left is from a Log24 entry on the date of death of the person on the right.

Relevant quotations:

“It was rather like solving a crossword puzzle.”

— Derek Taunt, on breaking the Enigma Code

Four Quartets:

“… history is a pattern
Of timeless moments.”

Cambridge News obituary:

“He [Dr. Taunt] and Angela [his wife] founded the Friends of Kettle’s Yard when the Arts Council cut its grant in 1984 and together organised countless fundraising activities for the museum and gallery.”

“How do we relate to the past? How are our memories affected by the cultural context that shapes our present? How many, and what kind of narratives compete in the representation of a historical moment? Rear View Mirror sets out to explore these questions and examine the devices we use to reconstruct events and people through different lenses….”

— On a future Kettle’s Yard exhibition

Time past and time future
What might have been
      and what has been
Point to one end,
      which is always present.

Four Quartets

 “The diamonds will be shining,
no longer in the rough.”

Diamonds in the Rough

See the Log24 remarks on Jesus College— Taunt’s college– in a web page for June Carter Cash, The Circle is Unbroken.

Sunday, August 8, 2004

Sunday August 8, 2004

Filed under: General — Tags: , , — m759 @ 6:08 am

Quartet

An illustration from July 26,
Jung’s birthday and the date
of Alexander Hammid’s death:

 

Jung’s Model
of the Self:


Four Quartets:

“… history is a pattern
Of timeless moments.”


Gerard Malanga, 2003

Alexander
Hammid

From today’s
New York Times
:

Alexander Hammid,
96, Filmmaker
Known for Many Styles,
Dies

By KATHRYN L. SHATTUCK

Published: August 8, 2004

Alexander Hammid, a filmmaker whose body of work spanned the genesis of the experimental movement in Czechoslovakia, early anti-Nazi documentaries and soaring modern Imax spectacles, died on July 26 at his home in Manhattan. He was 96.

His work in the 1950’s and early 60’s involved his passion for the arts,  [including] … a collaboration on Gian Carlo Menotti’s opera “The Medium” and a documentary series of master classes by the cellist Pablo Casals….

 

“… legend has it, supported by Casals himself, that he was conceived when Brahms began his B-flat Major Quartet, of which Casals owned the original manuscript, and that he was born when Brahms completed its composition.”

http://www.bach-cantatas.com/
Bio/Casals-Pablo.htm

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.

Tuesday, February 3, 2004

Tuesday February 3, 2004

Filed under: General — m759 @ 11:11 am

The Quality with No Name

And what is good, Phædrus,
and what is not good…
Need we ask anyone to tell us these things?

— Epigraph to
   Zen and the Art of Motorcyle Maintenance

Brad Appleton discusses a phrase of Christopher Alexander:

“The ‘Quality Without A Name‘ (abbreviated as the acronym QWAN) is the quality that imparts incommunicable beauty and immeasurable value to a structure….

Alexander proposes the existence of an objective quality of aesthetic beauty that is universally recognizable. He claims there are certain timeless attributes and properties which are considered beautiful and aesthetically pleasing to all people in all cultures (not just ‘in the eye of the beholder’). It is these fundamental properties which combine to generate the QWAN….”

See, too, The Alexander-Pirsig Connection.

Sunday, January 11, 2004

Sunday January 11, 2004

Filed under: General — m759 @ 2:11 am

String Theory

Phil Sweetland of the New York Times on Gospel singer St. Jake Hess, who died on Sunday, January 4, 2004 — also the feast day of saints T. S. Eliot, T.S. Matthews, and Joan Aiken

“Mr. Hess was the string that tied together many of Christian music’s most famous quartets and ensembles, and he was an idol and later a colleague of [Elvis] Presley….

Mr. Hess sang at his funeral in 1977, as he had at the funeral of Hank Williams in 1953.”

“Go to other people’s funerals,
otherwise, they won’t go to yours.”

Proverb attributed to St. Yogi Berra

“… to apprehend
 The point of intersection of the timeless
 With time, is an occupation for the saint…. “

— T. S. Eliot, Four Quartets

“You win again.”

— Keith Richards,
tribute to Hank Williams

Thursday, January 8, 2004

Thursday January 8, 2004

Filed under: General — Tags: — m759 @ 4:23 pm

Natasha’s Dance

“… at the still point, there the dance is….”

“… to apprehend
The point of intersection of the timeless
With time, is an occupation for the saint…. “

— T. S. Eliot, Four Quartets

It seems, according to Eliot’s criterion, that the late author John Gregory Dunne may be a saint.

Pursuing further information on the modular group, a topic on which I did a web page Dec. 30, 2003, the date of Dunne’s death, I came across a review of Apostol’s work on that subject (i.e., the modular group, not Dunne’s death, although there is a connection).  The review:

“A clean, elegant,
absolutely lovely text…”

Searching further at Amazon for a newer edition of the Apostol text, I entered the search phrase “Apostol modular functions” and got a list that included the following as number four:

Natasha’s Dance:
A Cultural History of Russia
,

which, by coincidence, includes all three words of the search.

For a connection — purely subjective and coincidental, of course — with Dunne’s death, see The Dark Lady (Jan. 1, 2004), which concerns another Natasha… the actress Natalie Wood, the subject of an essay (“Star!“) by Dunne in the current issue of the New York Review of Books.

The Review’s archives offer another essay, on science and religion, that includes the following relevant questions:

“Have the gates of death
been opened unto thee?
Or hast thou seen the doors
of the shadow of death?”

From my December 31 entry:

In memory of
John Gregory Dunne,
who died on
Dec. 30, 2003
:

For further details, click
on the black monolith.

Friday, October 3, 2003

Friday October 3, 2003

Filed under: General — m759 @ 8:23 pm

ART WARS:
Time and the Grid

Art theorist Rosalind Krauss and poet T. S. Eliot on time, timelessness, and the grid.

Friday, July 25, 2003

Friday July 25, 2003

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

For Jung’s 7/26 Birthday:
A Logocentric Meditation

Leftist academics are trying to pull a fast one again.  An essay in the most prominent American mathematical publication tries to disguise a leftist attack on Christian theology as harmless philosophical woolgathering.

In a review of Vladimir Tasic’s Mathematics and the Roots of Postmodern Thought, the reviewer, Michael Harris, is being less than candid when he discusses Derrida’s use of “logocentrism”:

“Derrida uses the term ‘logocentrism’… as ‘the metaphysics of phonetic writing’….”

Notices of the American Mathematical Society, August 2003, page 792

We find a rather different version of logocentrism in Tasic’s own Sept. 24, 2001, lecture “Poststructuralism and Deconstruction: A Mathematical History,” which is “an abridged version of some arguments” in Tasic’s book on mathematics and postmodernism:

“Derrida apparently also employs certain ideas of formalist mathematics in his critique of idealist metaphysics: for example, he is on record saying that ‘the effective progress of mathematical notation goes along with the deconstruction of metaphysics.’

Derrida’s position is rather subtle. I think it can be interpreted as a valiant sublation of two completely opposed schools in mathematical philosophy. For this reason it is not possible to reduce it to a readily available philosophy of mathematics. One could perhaps say that Derrida continues and critically reworks Heidegger’s attempt to ‘deconstruct’ traditional metaphysics, and that his method is more ‘mathematical’ than Heidegger’s because he has at his disposal the entire pseudo-mathematical tradition of structuralist thought. He has himself implied in an interview given to Julia Kristeva that mathematics could be used to challenge ‘logocentric theology,’ and hence it does not seem unreasonable to try looking for the mathematical roots of his philosophy.”

The unsuspecting reader would not know from Harris’s review that Derrida’s main concern is not mathematics, but theology.  His ‘deconstruction of metaphysics’ is actually an attack on Christian theology.

From “Derrida and Deconstruction,” by David Arneson, a University of Manitoba professor and writer on literary theory:

Logocentrism: ‘In the beginning was the word.’ Logocentrism is the belief that knowledge is rooted in a primeval language (now lost) given by God to humans. God (or some other transcendental signifier: the Idea, the Great Spirit, the Self, etc.) acts a foundation for all our thought, language and action. He is the truth whose manifestation is the world.”

Some further background, putting my July 23 entry on Lévi-Strauss and structuralism in the proper context:

Part I.  The Roots of Structuralism

“Literary science had to have a firm theoretical basis…”

Part II.  Structuralism/Poststructuralism

“Most [structuralists] insist, as Levi-Strauss does, that structures are universal, therefore timeless.”

Part III.  Structuralism and
Jung’s Archetypes

Jung’s “theories, like those of Cassirer and Lévi-Strauss, command for myth a central cultural position, unassailable by reductive intellectual methods or procedures.”

And so we are back to logocentrism, with the Logos — God in the form of story, myth, or archetype — in the “central cultural position.”

What does all this have to do with mathematics?  See

Plato’s Diamond,

Rosalind Krauss on Art –

“the Klein group (much beloved of Structuralists)”

Another Michael Harris Essay, Note 47 –

“From Krauss’s article I learned that the Klein group is also called the Piaget group.”

and Jung on Quaternity:
Beyond the Fringe –

“…there is no denying the fact that [analytical] psychology, like an illegitimate child of the spirit, leads an esoteric, special existence beyond the fringe of what is generally acknowledged to be the academic world.”

What attitude should mathematicians have towards all this?

Towards postmodern French
atheist literary/art theorists –

Mathematicians should adopt the attitude toward “the demimonde of chic academic theorizing” expressed in Roger Kimball’s essay, Feeling Sorry for Rosalind Krauss.

Towards logocentric German
Christian literary/art theorists –

Mathematicians should, of course, adopt a posture of humble respect, tugging their forelocks and admitting their ignorance of Christian theology.  They should then, if sincere in their desire to honestly learn something about logocentric philosophy, begin by consulting the website

The Quest for the Fiction of an Absolute.

For a better known, if similarly disrespected, “illegitimate child of the spirit,” see my July 22 entry.

Sunday, June 29, 2003

Sunday June 29, 2003

Filed under: General — m759 @ 11:00 pm

The sequel to
Every Boy Has a Daddy“:

Hepburn’s Mass
at Heaven’s Gate

Katharine Hepburn died at 2:50 PM EDT
on the Feast of St. Peter

“The Consecration and Sacrifice effected by the priest (standing in the place of Christ) is, then, the visible manifestation of an eternal and timeless act. After the Consecration, as Gueranger says in The Liturgical Year, ‘the divine Lamb is lying on our altar!’ Thus we see that the Mass is the visible reality, here and now, of the timeless eternal Mass of Heaven, described in the Apocalypse. Through it we participate in the Celestial Liturgy; through it the gates of Heaven are opened to us and the possibility of eternal life is made available to us.”

The Source:

The Church Militant recommends
Defense of the Inquisitions.

For a different viewpoint,
see my 
May 12 entries.

Sunday, June 8, 2003

Sunday June 8, 2003

Filed under: General — m759 @ 3:04 am

Of Time and the River

Today is the feast day of Saint Gerard Manley Hopkins, “immortal diamond.”

“At that instant he saw, in one blaze of light, an image of unutterable conviction, the reason why the artist works and lives and has his being–the reward he seeks–the only reward he really cares about, without which there is nothing. It is to snare the spirits of mankind in nets of magic, to make his life prevail through his creation, to wreak the vision of his life, the rude and painful substance of his own experience, into the congruence of blazing and enchanted images that are themselves the core of life, the essential pattern whence all other things proceed, the kernel of eternity.”

Thomas Wolfe, Of Time and the River

Thomas Wolfe

“entered the university at Chapel Hill at fifteen ‘an awkward, unhappy misfit.’ By the time he graduated, he was editor of the college newspaper….”

Jeff MacNelly, who died on this date in the Year of Our Lord 2000,

“in 1977 started drawing the comic strip ‘Shoe‘…. The strip was named in honor of the legendary Jim Shumaker, for whom MacNelly worked at the Chapel Hill Weekly.” 

From my Monday, June 2, 2003 entry:

Two quotations from “The Diamond Project“:

“We all know that something is eternal,” the Stage Manager says. “And it ain’t houses and it ain’t names, and it ain’t earth, and it ain’t even stars—everybody knows in their bones that something is eternal, and that something has to do with human beings.”
— John Lahr, review of “Our Town 

“Set me as a seal upon your heart, as a seal upon your arm; for love is strong as death, passion fierce as the grave.  Its flashes are flashes of fire, a raging flame.”
Song of Solomon

Here are some other thoughts from the same date, but a different time, fictional time, Faulkner time:

June Second, 1910

Where the shadow of the bridge fell I could see down for a long way, but not as far as the bottom. When you leave a leaf in water a long time after a while the tissue will be gone and the delicate fibers waving slow as the motion of sleep. They dont touch one another, no matter how knotted up they once were, no matter how close they lay once to the bones. And maybe when He says Rise the eyes will come floating up too, out of the deep quiet and the sleep, to look on glory.

— William Faulkner, The Sound and the Fury

The concluding link from my June 2, 2003, entry furnishes a clue to the timelessness of Quentin Compson‘s thoughts above:

Glory… Song of Songs 8. 7-8

From the King James Bible‘s rendition of the Song of Songs:

8:7  Many waters cannot quench love, neither can the floods drown it: if a man would give all the substance of his house for love, it would utterly be contemned.
8:8  We have a little sister, and she hath no breasts: what shall we do for our sister in the day when she shall be spoken for?

For Quentin Compson’s thoughts on his little sister Caddy, consult the online hypertext edition of

Thursday, January 23, 2003

Thursday January 23, 2003

Filed under: General — m759 @ 1:11 am

After the Dream:

  A sequel to the previous note,
“Through a Soda-Fountain Mirror, Darkly”

From John Lahr’s recent review of “Our Town”:

“We all know that something is eternal,” the Stage Manager says. “And it ain’t houses and it ain’t names, and it ain’t earth, and it ain’t even stars—everybody knows in their bones that something is eternal, and that something has to do with human beings.” 

The conclusion of Lewis Caroll’s Through the Looking Glass:

In a Wonderland they lie,
Dreaming as the days go by,
Dreaming as the summers die:

Ever drifting down the stream —
Lingering in the golden gleam —
Life, what is it but a dream?

An apt setting for a realistic production of “Our Town” would be Randolph, N.Y., a rather timeless place that a few years ago even had a working soda fountain of the traditional sort.  Yesterday’s note was prompted in part by an obituary of a young girl who attended St. Patrick’s Catholic Church in Randolph.

This is the reason for tonight’s site music, “After a Dream,” by Fauré.

See also Piper Laurie’s recent film, St. Patrick’s Day.

Wednesday, January 22, 2003

Wednesday January 22, 2003

Filed under: General — m759 @ 1:44 pm

Through a Soda-Fountain Mirror, Darkly

For Piper Laurie on Her Birthday

“He was part of my dream, of course —
but then I was part of his dream, too!”

— Lewis Carroll, Through the Looking Glass, Chapter XII (“Which Dreamed It?”) quoted as epigraph to a script for the film Pleasantville, which features a soda fountain from the 1950’s.

“Scenes from yesteryear are revisited through the soda-fountain mirror, creating such a fluid pathway between the past and present that one often becomes lost along the way.”

— Caroline Palmer’s review of “Come Back to the Five and Dime, Jimmy Dean, Jimmy Dean” 

The above quotations are related to the 1952 film Has Anybody Seen My Gal?, in which James Dean makes a brief appearance at a 1920’s soda fountain. The film is chiefly notable for displaying the beauty of Piper Laurie, but a subplot is also of iterest.  Charles Coburn, a rich man visiting incognito a timeless town* rather like Pleasantville or Riverdale, takes up painting and is assisted by the young Gigi Perreau, who, as I recall, supplies him with the frame from a Circe Soap ad displayed in a shop window.

For more on a fictional rich character and Circe — indeed, enough for a soap — see my note of January 11, 2003, “The First Days of Disco,” and the sequel of January 12, 2003, “Ask Not.”  In the manner of magic realism, the adventures in the earlier entry of Scrooge McDuck and Circe are mirrored by those in the later entry of C. Douglas Dillon and Monique Wittig.

For a less pleasant trip back in time, see the later work of Gigi Perreau in Journey to the Center of Time (1967).  One viewer’s comment:

This is the worst movie ever made. I don’t want to hear about any of Ed Wood’s pictures. This is it, this is the one. Right here. The bottom of the deepest pit of cinema hell.

Happy birthday, Miss Laurie.

*Rather, in fact, like “Our Town.”  Here is John Lahr on a current production of that classic:

“The play’s narrator and general master of artifice is the Stage Manager, who gives the phrase ‘deus ex machina’ a whole new meaning. He holds the script, he sets the scene, he serves as an interlocutor between the worlds of the living and the dead, calling the characters into life and out of it; he is, it turns out, the Author of Authors, the Big Guy himself. It seems, in every way, apt for Paul Newman to have taken on this role. God should look like Newman: lean, strong-chinned, white-haired, and authoritative in a calm and unassuming way—if only we had all been made in his image!”

The New Yorker, issue of Dec. 16, 2002

If Newman is God, then Miss Laurie played God’s girlfriend.  Nice going, Piper.

 

Powered by WordPress