Log24

Thursday, March 25, 2021

Only Connect

Filed under: General — Tags: — m759 @ 1:18 am

For an example, see . . .

Also on February 3, 2021 — “Art of the Possible.”

Friday, February 26, 2021

“Only Connect”

Filed under: General — Tags: — m759 @ 11:33 pm

Twelves   (in memory of Robert de Marrais)

Receipt date for the above article —

Synchronicity check —

Related reading —

http://www.universityreaders.com/pdf/
Incarnations-of-the-Blaring-Bluesblinger_sneak_preview.pdf

Tuesday, October 6, 2020

Only Connect :  Bulk Apperception* Continues.

Filed under: General — Tags: , , — m759 @ 11:49 am

The above Vanity Fair  article was republished on the Web by VF
on September 3, 2013.  See also this  journal on that date.

Related religious remarks —

* “Bulk apperception” is a phrase from Westworld. See Log24 notes.

Friday, September 10, 2010

Only Connect

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

For Julie Taymor on Fashion's Night Out

This morning's post had a link to a video meditation from the director of
the 1985 film "Kiss of the Spider Woman"—

Image-- Plane flying into sun, from 'At Play in the Fields of the Lord'

This film clip is echoed by lyrics, broadcast this morning, from Taymor's new Spider-Man musical—

You can fly too high and get too close to the sun.
See how the boy falls from the sky.

This morning's post and the "At Play" film it linked to featured class conflict and Brazilian natives.

For a more down-to-earth approach to these topics, see Fox Broadcasting's new series "Running Wilde."

Wednesday, July 14, 2010

Only Connect

Filed under: General — m759 @ 7:00 pm

Janet Maslin, book review of One Day  in today's online New York Times

"Emma is demonstrably the smarter of the two in ways that Dexter finds intimidating. While he roams the world, she sends him books that he doesn’t enjoy or understand. Dexter on Howards End : 'It’s like they’ve been drinking the same cup of tea for 200 pages, and I keep waiting for someone to pull a knife or an alien invasion or something, but that’s not going to happen is it?'"

Related material: LiLo in "Machete."

Thursday, July 14, 2016

For Spider Woman

Filed under: General — m759 @ 11:19 am

Film Director Hector Babenco Dies in Brazil

By THE ASSOCIATED PRESS
JULY 14, 2016, 10:39 A.M. E.D.T.

SAO PAULO — The Argentine-born Brazilian director
nominated for an Oscar for his 1985 film "Kiss of the
Spider Woman" has died. Hector Babenco was 70.

Denise Winther of Babenco's HB Films says the director
died Wednesday night of a heart attack at Sao Paulo's
Sirio-Libanes Hospital.

See also "Only Connect" and "Tombstones in Her Eyes."

Kiss of the Spider Woman — Bono and Taymor at 'Spider-Man'

Click image for a related post.

Sunday, May 8, 2016

Gesamtkunstwerke

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

„Ich begriff plötzlich, daß in der Sprache oder doch
mindestens im Geist des Glasperlenspiels tatsächlich
alles allbedeutend sei, daß jedes Symbol und jede
Kombination von Symbolen nicht hierhin oder dorthin,
nicht zu einzelnen Beispielen, Experimenten und
Beweisen führe, sondern ins Zentrum, ins Geheimnis
und Innerste der Welt, in das Urwissen. Jeder Übergang
von Dur zu Moll in einer Sonate, jede Wandlung eines
Mythos oder eines Kultes, jede klassische, künstlerische
Formulierung sei, so erkannte ich im Blitz jenes
Augenblicks, bei echter meditativer Betrachtung,
nichts andres als ein unmittelbarer Weg ins Innere
des Weltgeheimnisses, wo im Hin und Wider zwischen
Ein- und Ausatmen, zwischen Himmel und Erde,
zwischen Yin und Yang sich ewig das Heilige vollzieht.“

— Hermann Hesse, Das Glasperlenspiel .
Berlin:  Suhrkamp Taschenbuch Verlag, 2012, p. 172,
as quoted in a weblog.

"Only connect." — Howards End

Saturday, March 12, 2016

Masonic Melody

Filed under: General — Tags: , , — m759 @ 1:31 am

"Button your lip baby
Button your coat
Let's go out dancing
Go for the throat"

Read more: Rolling Stones – Mixed Emotions Lyrics | MetroLyrics 

This melody was suggested by a post of February 25, 2016,
by tonight's previous post "Brick-Perfect," and by
the post "Cube Bricks 1984" of March 4, 2016.

"Only connect." — E. M. Forster.

Tuesday, March 15, 2011

In Hoc Signo

Filed under: General — m759 @ 1:06 pm

From "Mathematicians and Poets," by Cai Tianxin, in the April 2011 AMS Notices

Gauss, “the prince of mathematics”, wrote to tell a
friend, after solving a problem (symbols of Gaussian
summation) that had been bothering him for
years, “Finally, two days ago, I succeeded—not on
account of my hard efforts, but by the grace of the
Lord. Like a sudden flash of lightning, the riddle
was solved. I am unable to say what the conducting
thread was that connected what I previously knew
with what made my success possible.”

Gauss appears also in the results of the search for the phrase "only connect"
in this morning's Ides of Art post.

See as well the Grateful Dead logo in that post, and the following ad
shown today at Secret Blogging Seminar's Oct. 11, 2008, post
"The Sign of the Gauss Sum"—

IMAGE- Google ad for 'Quality Church Signs'

The Die is Cast

Filed under: General — m759 @ 10:31 am

Meditation for the Ides of March—

IMAGE- Grateful Dead logo based on a concept by Owsley Stanley

   Only connect.

Wednesday, July 14, 2010

Derechos Reservados

Filed under: General — m759 @ 8:16 pm

http://www.log24.com/log/pix10A/100714-DerechosSm.jpg

Related material— Today's previous posts
Happy Bastille Day, The Lotus Gate, and Only Connect.

"Every city has its gates…." —Winter's Tale

Sunday, August 3, 2008

Sunday August 3, 2008

Filed under: General,Geometry — Tags: , , , — m759 @ 3:00 pm
Kindergarten
Geometry

Preview of a Tom Stoppard play presented at Town Hall in Manhattan on March 14, 2008 (Pi Day and Einstein’s birthday):

The play’s title, “Every Good Boy Deserves Favour,” is a mnemonic for the notes of the treble clef EGBDF.

The place, Town Hall, West 43rd Street. The time, 8 p.m., Friday, March 14. One single performance only, to the tinkle– or the clang?– of a triangle. Echoing perhaps the clang-clack of Warsaw Pact tanks muscling into Prague in August 1968.

The “u” in favour is the British way, the Stoppard way, “EGBDF” being “a Play for Actors and Orchestra” by Tom Stoppard (words) and André Previn (music).

And what a play!– as luminescent as always where Stoppard is concerned. The music component of the one-nighter at Town Hall– a showcase for the Boston University College of Fine Arts– is by a 47-piece live orchestra, the significant instrument being, well, a triangle.

When, in 1974, André Previn, then principal conductor of the London Symphony, invited Stoppard “to write something which had the need of a live full-time orchestra onstage,” the 36-year-old playwright jumped at the chance.

One hitch: Stoppard at the time knew “very little about ‘serious’ music… My qualifications for writing about an orchestra,” he says in his introduction to the 1978 Grove Press edition of “EGBDF,” “amounted to a spell as a triangle player in a kindergarten percussion band.”

Jerry Tallmer in The Villager, March 12-18, 2008

Review of the same play as presented at Chautauqua Institution on July 24, 2008:

“Stoppard’s modus operandi– to teasingly introduce numerous clever tidbits designed to challenge the audience.”

Jane Vranish, Pittsburgh Post-Gazette, Saturday, August 2, 2008

“The leader of the band is tired
And his eyes are growing old
But his blood runs through
My instrument
And his song is in my soul.”

— Dan Fogelberg

“He’s watching us all the time.”

Lucia Joyce

 

Finnegans Wake,
Book II, Episode 2, pp. 296-297:

I’ll make you to see figuratleavely the whome of your eternal geomater. And if you flung her headdress on her from under her highlows you’d wheeze whyse Salmonson set his seel on a hexengown.1 Hissss!, Arrah, go on! Fin for fun!

1 The chape of Doña Speranza of the Nacion.

 

Log 24, Sept. 3, 2003:
Reciprocity
From my entry of Sept. 1, 2003:

“…the principle of taking and giving, of learning and teaching, of listening and storytelling, in a word: of reciprocity….

… E. M. Forster famously advised his readers, ‘Only connect.’ ‘Reciprocity’ would be Michael Kruger’s succinct philosophy, with all that the word implies.”

— William Boyd, review of Himmelfarb, a novel by Michael Kruger, in The New York Times Book Review, October 30, 1994

Last year’s entry on this date:

 

Today’s birthday:
James Joseph Sylvester

Mathematics is the music of reason.”
— J. J. Sylvester

Sylvester, a nineteenth-century mathematician, coined the phrase “synthematic totals” to describe some structures based on 6-element sets that R. T. Curtis has called “rather unwieldy objects.” See Curtis’s abstract, Symmetric Generation of Finite Groups, John Baez’s essay, Some Thoughts on the Number 6, and my website, Diamond Theory.

 

The picture above is of the complete graph K6 …  Six points with an edge connecting every pair of points… Fifteen edges in all.

Diamond theory describes how the 15 two-element subsets of a six-element set (represented by edges in the picture above) may be arranged as 15 of the 16 parts of a 4×4 array, and how such an array relates to group-theoretic concepts, including Sylvester’s synthematic totals as they relate to constructions of the Mathieu group M24.

If diamond theory illustrates any general philosophical principle, it is probably the interplay of opposites….  “Reciprocity” in the sense of Lao Tzu.  See

Reciprocity and Reversal in Lao Tzu.

For a sense of “reciprocity” more closely related to Michael Kruger’s alleged philosophy, see the Confucian concept of Shu (Analects 15:23 or 24) described in

Shu: Reciprocity.

Kruger’s novel is in part about a Jew: the quintessential Jewish symbol, the star of David, embedded in the K6 graph above, expresses the reciprocity of male and female, as my May 2003 archives illustrate.  The star of David also appears as part of a graphic design for cubes that illustrate the concepts of diamond theory:

Click on the design for details.

Those who prefer a Jewish approach to physics can find the star of David, in the form of K6, applied to the sixteen 4×4 Dirac matrices, in

A Graphical Representation
of the Dirac Algebra
.

The star of David also appears, if only as a heuristic arrangement, in a note that shows generating partitions of the affine group on 64 points arranged in two opposing triplets.

Having thus, as the New York Times advises, paid tribute to a Jewish symbol, we may note, in closing, a much more sophisticated and subtle concept of reciprocity due to Euler, Legendre, and Gauss.  See

The Jewel of Arithmetic and


FinnegansWiki:

Salmonson set his seel:

“Finn MacCool ate the Salmon of Knowledge.”

Wikipedia:

George Salmon spent his boyhood in Cork City, Ireland. His father was a linen merchant. He graduated from Trinity College Dublin at the age of 19 with exceptionally high honours in mathematics. In 1841 at age 21 he was appointed to a position in the mathematics department at Trinity College Dublin. In 1845 he was appointed concurrently to a position in the theology department at Trinity College Dublin, having been confirmed in that year as an Anglican priest.”

Related material:

Kindergarten Theology,

Kindergarten Relativity,

Arrangements for
56 Triangles
.

For more on the
arrangement of
triangles discussed
in Finnegans Wake,
see Log24 on Pi Day,
March 14, 2008.

Happy birthday,
Martin Sheen.

Wednesday, September 3, 2003

Wednesday September 3, 2003

Filed under: General,Geometry — Tags: , , , — m759 @ 3:00 pm

Reciprocity

From my entry of Sept. 1, 2003:

"…the principle of taking and giving, of learning and teaching, of listening and storytelling, in a word: of reciprocity….

… E. M. Forster famously advised his readers, 'Only connect.' 'Reciprocity' would be Michael Kruger's succinct philosophy, with all that the word implies."

— William Boyd, review of Himmelfarb, New York Times Book Review, October 30, 1994

Last year's entry on this date: 

Today's birthday:
James Joseph Sylvester

"Mathematics is the music of reason."
— J. J. Sylvester

Sylvester, a nineteenth-century mathematician, coined the phrase "synthematic totals" to describe some structures based on 6-element sets that R. T. Curtis has called "rather unwieldy objects." See Curtis's abstract, Symmetric Generation of Finite Groups, John Baez's essay, Some Thoughts on the Number 6, and my website, Diamond Theory.

The picture above is of the complete graph K6  Six points with an edge connecting every pair of points… Fifteen edges in all.

Diamond theory describes how the 15 two-element subsets of a six-element set (represented by edges in the picture above) may be arranged as 15 of the 16 parts of a 4×4 array, and how such an array relates to group-theoretic concepts, including Sylvester's synthematic totals as they relate to constructions of the Mathieu group M24.

If diamond theory illustrates any general philosophical principle, it is probably the interplay of opposites….  "Reciprocity" in the sense of Lao Tzu.  See

Reciprocity and Reversal in Lao Tzu.

For a sense of "reciprocity" more closely related to Michael Kruger's alleged philosophy, see the Confucian concept of Shu (Analects 15:23 or 24) described in

Shu: Reciprocity.

Kruger's novel is in part about a Jew: the quintessential Jewish symbol, the star of David, embedded in the K6 graph above, expresses the reciprocity of male and female, as my May 2003 archives illustrate.  The star of David also appears as part of a graphic design for cubes that illustrate the concepts of diamond theory:

Click on the design for details.

Those who prefer a Jewish approach to physics can find the star of David, in the form of K6, applied to the sixteen 4×4 Dirac matrices, in

A Graphical Representation
of the Dirac Algebra
.

The star of David also appears, if only as a heuristic arrangement, in a note that shows generating partitions of the affine group on 64 points arranged in two opposing triplets.

Having thus, as the New York Times advises, paid tribute to a Jewish symbol, we may note, in closing, a much more sophisticated and subtle concept of reciprocity due to Euler, Legendre, and Gauss.  See

The Jewel of Arithmetic and

The Golden Theorem.

Monday, September 1, 2003

Monday September 1, 2003

Filed under: General — m759 @ 3:33 pm

The Unity of Mathematics,

or “Shema, Israel”

A conference to honor the 90th birthday (Sept. 2) of Israel Gelfand is currently underway in Cambridge, Massachusetts.

The following note from 2001 gives one view of the conference’s title topic, “The Unity of Mathematics.”

Reciprocity in 2001

by Steven H. Cullinane
(May 30, 2001)

From 2001: A Space Odyssey, by Arthur C. Clarke, New American Library, 1968:

The glimmering rectangular shape that had once seemed no more than a slab of crystal still floated before him….  It encapsulated yet unfathomed secrets of space and time, but some at least he now understood and was able to command.

How obvious — how necessary — was that mathematical ratio of its sides, the quadratic sequence 1: 4: 9!  And how naive to have imagined that the series ended at this point, in only three dimensions!

— Chapter 46, “Transformation”

From a review of Himmelfarb, by Michael Krüger, New York, George Braziller, 1994:

As a diffident, unsure young man, an inexperienced ethnologist, Richard was unable to travel through the Amazonian jungles unaided. His professor at Leipzig, a Nazi Party member (a bigot and a fool), suggested he recruit an experienced guide and companion, but warned him against collaborating with any Communists or Jews, since the objectivity of research would inevitably be tainted by such contact. Unfortunately, the only potential associate Richard can find in Sao Paulo is a man called Leo Himmelfarb, both a Communist (who fought in the Spanish Civil War) and a self-exiled Jew from Galicia, but someone who knows the forests intimately and can speak several of the native dialects.

“… Leo followed the principle of taking and giving, of learning and teaching, of listening and storytelling, in a word: of reciprocity, which I could not even imitate.”

… E. M. Forster famously advised his readers, “Only connect.” “Reciprocity” would be Michael Kruger’s succinct philosophy, with all that the word implies.

— William Boyd, New York Times Book Review, October 30, 1994

Reciprocity and Euler

Applying the above philosophy of reciprocity to the Arthur C. Clarke sequence

1, 4, 9, ….

we obtain the rather more interesting sequence
1/1, 1/4, 1/9, …..

This leads to the following problem (adapted from the St. Andrews biography of Euler):

Perhaps the result that brought Euler the most fame in his young days was his solution of what had become known as the Basel problem. This was to find a closed form for the sum of the infinite series

1/1 + 1/4 + 1/9 + 1/16 + 1/25 + …

— a problem which had defeated many of the top mathematicians including Jacob Bernoulli, Johann Bernoulli and Daniel Bernoulli. The problem had also been studied unsuccessfully by Leibniz, Stirling, de Moivre and others. Euler showed in 1735 that the series sums to (pi squared)/6. He generalized this series, now called zeta(2), to zeta functions of even numbers larger than two.

Related Reading

For four different proofs of Euler’s result, see the inexpensive paperback classic by Konrad Knopp, Theory and Application of Infinite Series (Dover Publications).

Related Websites

Evaluating Zeta(2), by Robin Chapman (PDF article) Fourteen proofs!

Zeta Functions for Undergraduates

The Riemann Zeta Function

Reciprocity Laws
Reciprocity Laws II

The Langlands Program

Recent Progress on the Langlands Conjectures

For more on
the theme of unity,
see

Monolithic Form
and
ART WARS.

Wednesday, January 1, 2003

Wednesday January 1, 2003

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

 

ART WARS:

That Old Devil Moon


Kylie Minogue

    From The New York Times, Wed., Jan. 1, 2003:

Richard Horner, 82,
Broadway Producer, Is Dead

Richard Horner, a Broadway theater owner and producer who won a Tony Award for the 1974 revival of Eugene O'Neill's "Moon for the Misbegotten," died on Saturday [December 28, 2002] at his home in Palm Springs, Calif. He was 82.

According to one source, the O'Neill revival opened on December 28, 1973 — the same date on which the life of one of its producers was later to close.

From a CurtainUp review:

The revival at the Morosco was dubbed by its company "The Resurrection Play" since Jason Robards undertook the part just after a near fatal car accident and its legendary director José Quintero had just given up drinking.

According to the Internet Broadway Database, this revival, or resurrection, took place officially not on December 28 — the date of Horner's death — but, appropriately, a day later.

At any rate, O'Neill's title, along with my weblog entry of December 28, 2002,

"On This Date," featuring Kylie Minogue,

suggests the following mini-exhibit of artistic efforts:

 

Curtain Up!

July 2000
issue of GQ
:

Australian pop star Kylie Minogue strikes a pose. The cover is a takeoff on an Athena tennis poster.

 

 

Under the Volcano:

A painting based on Malcolm Lowry's classic novel.

Having played tennis, Dr. Vigil and M. Laruelle talk about the events a year earlier.

The view is of Cuernavaca from the Casino de la Selva hotel.

Painting by
Julian Heaton Cooper.

 

 

 

For further details on Kylie, Mexico, tequila, and
Under the Volcano,
see my entry of November 5, 2002.

For today's site music, click "Old Devil Moon" here.

Addendum of 9:30 pm 1/1/03:

For a politically correct view
of the above GQ cover,
see Charlotte Raven's essay,
"
The Opposite of Sexy,"
from The Guardian, June 13, 2000.

For a more perceptive analysis,
see George Orwell's essay,
"
The Art of Donald McGill,"
from Horizon, September 1941.

An Example of McGill's Art

If there is a devil here,
I suspect it is less likely to be
Kyllie Minogue than Charlotte Raven.

Today's birthdays:

J. D. Salinger (Nine Stories),
E. M. Forster ("Only connect"), and
Sir James Frazer (The Golden Bough).

Frazer might appreciate the remarks in
the SparkNotes essay on The Natural,
cited in my note "Homer" of Dec. 30, 2002,
on bird symbolism and vegetative myths.

 


Not amused: Charlotte Raven

 

Raven, take a bough.

 

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