Log24

Thursday, December 17, 2009

Merry Xmas from Arthur C. Clarke

Filed under: General — m759 @ 1:09 pm

Well-Recognized

Some personal reminiscences from 1982
suggested the following notes on
yesterday’s thought from Arthur C. Clarke–

“Any sufficiently advanced technology
is indistinguishable from magic.”

‘Abracadabra’ is a well-recognized song recorded by the Steve Miller Band.

Released as the main single from Abracadabra in June 1982, it became a number-one hit on the United States Billboard Hot 100 chart, and also hit number two on the UK charts. It followed Survivor‘s ‘Eye of the Tiger‘ (from Rocky III ) on the Hot 100….” –Wikipedia

Advanced Technology:

MST 682 Advanced Topics in
Computer Integrated Manufacturing (CIM)

An overview of the components of CIM Enterprise, System Design, Material Handling, Materials Requirement Planning (MRP), Manufacturing Resource Planning (MRPII), Manufacturing Database and Management, Expert Systems for Manufacturing. Two hours of lecture and two hours of laboratory per week. Prerequisites: An undergraduate course in CAD or CAM or CIM, or consent of instructor. —SUNY Institute of Technology

Magic:

Christian Surrealism,” an entry in this journal on Dec. 15, 2009, at 5:26 PM.

The time 5:26 may of course be interpreted as a reference to the date 5/26.

Technology and Magic:

NY Lottery yesterday, Dec. 16: mid-day 682, evening 526.

Wednesday, August 5, 2020

Rendezvous with Drama

Filed under: General — Tags: — m759 @ 9:45 pm

See as well Arthur C. Clarke in this journal, and today’s news:

Tuesday, September 3, 2013

An End in Itself

Filed under: General — m759 @ 8:24 pm

Continued from August 29th

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

Pohl reportedly died Monday
A synchronicity check:  Quoted here Monday

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

See also this journal on August 5th, 2008

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

Thursday, November 22, 2012

The Red Line vs. the Red Eye

Filed under: General — m759 @ 11:07 am

Arthur C. Clarke

"Any sufficiently advanced technology is indistinguishable from magic."

"The HP/Autonomy  Debacle," by John C. Dvorak at pcmag.com on Tuesday, Nov. 20, 2012—

"The whole Autonomy  thing was weird since the company seemed to be performing magic. On co-founder Michael Richard Lynch's Wikipedia page, the company is described as 'a leader in the area of computer understanding of unstructured information, an area which is becoming known as meaning-based computing .'

I do not know how gullible HP's board of directors is, but when I see the sudden emergence of something called 'meaning-based computing,' the alarms sound and the bullcrap meter begins to tag the red line."

A story by Terence K. Huwe in Online  magazine, Sept.-Oct. 2011, defines meaning-based computing (MBC), discusses Autonomy , and llnks to…

John Markoff in The New York Times , March 4, 2011— 

"Engineers and linguists at Cataphora, an information-sifting company based in Silicon Valley, have their software mine documents for the activities and interactions of people— who did what when, and who talks to whom. The software seeks to visualize chains of events. It identifies discussions that might have taken place across e-mail, instant messages and telephone calls.

Then the computer pounces, so to speak, capturing 'digital anomalies' that white-collar criminals often create in trying to hide their activities.

For example, it finds 'call me' moments— those incidents when an employee decides to hide a particular action by having a private conversation. This usually involves switching media, perhaps from an e-mail conversation to instant messaging, telephone or even a face-to-face encounter."

For example

IMAGE- HAL reading lips in '2001: A Space Odyssey'

Saturday, December 31, 2011

The Uploading

Filed under: General,Geometry — Tags: — m759 @ 4:01 pm

(Continued)

"Design is how it works." — Steve Jobs

From a commercial test-prep firm in New York City—

http://www.log24.com/log/pix11C/111231-TeachingBlockDesign.jpg

From the date of the above uploading—

http://www.log24.com/log/pix11B/110708-ClarkeSm.jpg

After 759

m759 @ 8:48 AM
 

Childhood's End

From a New Year's Day, 2012, weblog post in New Zealand

http://www.log24.com/log/pix11C/111231-Pyramid-759.jpg

From Arthur C. Clarke, an early version of his 2001  monolith

"So they left a sentinel, one of millions they have scattered
throughout the Universe, watching over all worlds with the
promise of life. It was a beacon that down the ages has been
patiently signaling the fact that no one had discovered it.
Perhaps you understand now why that crystal pyramid was set…."

The numerical  (not crystal) pyramid above is related to a sort of
mathematical  block design known as a Steiner system.

For its relationship to the graphic  block design shown above,
see the webpages Block Designs and The Diamond Theorem
as well as The Galois Tesseract and R. T. Curtis's classic paper
"A New Combinatorial Approach to M24," which contains the following
version of the above numerical pyramid—

http://www.log24.com/log/pix11C/111231-LeechTable.jpg

For graphic  block designs, I prefer the blocks (and the parents)
of Grand Rapids to those of New York City.

For the barbed tail  of Clarke's "Angel" story, see the New Zealand post
of New Year's Day mentioned above.

Saturday, July 9, 2011

In the Details

Filed under: General — m759 @ 2:45 am

Connecting the dots with Clarke's Last Tale

"The book is about a young Sri Lankan mathematician
who finds a short proof of Fermat's Last Theorem
while an alien invasion of Earth is in progress."

Wikipedia on Arthur C. Clarke's 2008 novel The Last Theorem

Related material—

The May 7, 2006 link from Thursday morning's The 256 Code
and the Tribute link in last night's Your Shiny Friend.

Thursday, August 26, 2010

Home from Home continued

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

Or— Childhood's Rear End

This post was suggested by…

  1. Today's New York Times
    "For many artists Electric Lady has become a home away from home…. For Jimmy Page the personal imprimaturs of Hendrix and Mr. Kramer made all the difference when Led Zeppelin mixed parts of 'Houses of the Holy' there in 1972."
  2. The album cover pictures for "Houses of the Holy"
  3. Boleskine House, home to Aleister Crowley and (occasionally) to Jimmy Page.

Related material:

The Zeppelin album cover, featuring rear views of nude children, was shot at the Giant's Causeway.

From a page at led-zeppelin.org—

http://www.log24.com/log/pix10B/100826-Causeway.jpg

See also Richard Rorty on Heidegger

Safranski, the author of ''Schopenhauer and the Wild Years of Philosophy,'' never steps back and pronounces judgment on Heidegger, but something can be inferred from the German title of his book: ''Ein Meister aus Deutschland'' (''A Master From Germany''). Heidegger was, undeniably, a master, and was very German indeed. But Safranski's spine-chilling allusion is to Paul Celan's best-known poem, ''Death Fugue.'' In Michael Hamburger's translation, its last lines are:

death is a master from Germany his eyes are blue
he strikes you with leaden bullets his aim is true
a man lives in the house your golden hair Margarete
he sets his pack on us he grants us a grave in the air
he plays with the serpents and daydreams death is a master from Germany

your golden hair Margarete
your ashen hair Shulamith.

No one familiar with Heidegger's work can read Celan's poem without recalling Heidegger's famous dictum: ''Language is the house of Being. In its home man dwells.'' Nobody who makes this association can reread the poem without having the images of Hitler and Heidegger — two men who played with serpents and daydreamed — blend into each other. Heidegger's books will be read for centuries to come, but the smell of smoke from the crematories — the ''grave in the air'' — will linger on their pages.

Heidegger is the antithesis of the sort of philosopher (John Stuart Mill, William James, Isaiah Berlin) who assumes that nothing ultimately matters except human happiness. For him, human suffering is irrelevant: philosophy is far above such banalities. He saw the history of the West not in terms of increasing freedom or of decreasing misery, but as a poem. ''Being's poem,'' he once wrote, ''just begun, is man.''

For Heidegger, history is a sequence of ''words of Being'' — the words of the great philosophers who gave successive historical epochs their self-image, and thereby built successive ''houses of Being.'' The history of the West, which Heidegger also called the history of Being, is a narrative of the changes in human beings' image of themselves, their sense of what ultimately matters. The philosopher's task, he said, is to ''preserve the force of the most elementary words'' — to prevent the words of the great, houses-of-Being-building thinkers of the past from being banalized.

Related musical meditations—

Shine On (Saturday, April 21, 2007), Shine On, Part II, and Built (Sunday, April 22, 2007).

Related pictorial meditations—

http://www.log24.com/log/pix10B/100826-CameronBlog.jpg

The Giant's Causeway at Peter J. Cameron's weblog

and the cover illustration for Diamond Theory (1976)—

http://www.log24.com/log/pix10B/100826-CoverArt.jpg

The connection between these two images is the following from Cameron's weblog today

… as we saw, there are two different Latin squares of order 4;
one, but not the other, can be extended to a complete set
of 3 MOLS [mutually orthogonal Latin squares].

The underlying structures of the square pictures in the Diamond Theory cover are those of the two different Latin squares of order 4 mentioned by Cameron.

Connection with childhood—

The children's book A Wind in the Door, by Madeleine L'Engle. See math16.com. L'Engle's fantasies about children differ from those of Arthur C. Clarke and Led Zeppelin.

Wednesday, December 16, 2009

The Passion of the Beast

Filed under: General — m759 @ 10:10 am

A thought from yesterday by David Brooks:

“Life is a struggle to push back against the evils of the world without succumbing to the passions of the beast lurking inside.”

Associated Press Thought for Today:

“Any sufficiently advanced technology is indistinguishable from magic.”

— British science-fiction author Arthur C. Clarke (born this date in 1917, died in 2008).

http://www.log24.com/log/pix09A/091216-Clarke050328.jpg
Photo by Amy Marash

Arthur C. Clarke at his home office
in Sri Lanka, 28 March 2005

A search for that date
in this journal yields…

Bright Star and Happy Six.

Wednesday, November 26, 2008

Wednesday November 26, 2008

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

Recent abstracts of interest:

Kuwait Foundation Lectures

Jan. 29, 2008: J. P. Wintenberger, “On the Proof of Serre’s Conjecture

Oct. 28, 2008: Chandrashekhar Khare, “Modular Forms and Galois Representations

Background:


The Last Theorem, a novel by Arthur C. Clarke and Frederik Pohl published Aug. 5, 2008

Going Beyond Fermat’s Last Theorem,” a news article in The Hindu published April 25, 2005

Wikipedia: Serre Conjecture (Number Theory)

Henri Darmon, “Serre’s Conjectures

Tuesday, August 5, 2008

Tuesday August 5, 2008

Filed under: General — Tags: , — m759 @ 2:02 pm
Published Today:

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

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

From the publisher's description:

"The Last Theorem is a story of one man’s mathematical obsession, and a celebration of the human spirit and the scientific method. It is also a gripping intellectual thriller….

In 1637, the French mathematician Pierre de Fermat scrawled a note in the margin of a book about an enigmatic theorem: 'I have discovered a truly marvelous proof of this proposition which this margin is too narrow to contain.' He also neglected to record his proof elsewhere. Thus began a search for the Holy Grail of mathematics– a search that didn’t end until 1994, when Andrew Wiles published a 150-page proof. But the proof was burdensome, overlong, and utilized mathematical techniques undreamed of in Fermat’s time, and so it left many critics unsatisfied– including young Ranjit Subramanian, a Sri Lankan with a special gift for mathematics and a passion for the famous 'Last Theorem.'

When Ranjit writes a three-page proof of the theorem that relies exclusively on knowledge available to Fermat, his achievement is hailed as a work of genius, bringing him fame and fortune…."

For a similar third-world fantasy about another famous theorem, see the oeuvre of Ashay Dharwadker.

Note the amazing conclusion of Dharwadker's saga (thus far)–

Dharwadker devises a proof of the four-color theorem that leads to…

Grand Unification
of the Standard Model
with Quantum Gravity!

For further background, see

Ashay Dharwadker
  and Usenet Postings.

Clarke lived in Sri Lanka (formerly Ceylon) from 1956 until his death last March.

For another connection with Sri Lanka, see

Location, Location, Location
(July 13, 2005) and
Bagombo Snuff Box
(May 7, 2006).

Thursday, March 27, 2008

Thursday March 27, 2008

Filed under: General — m759 @ 2:45 am
A Saint for
Richard Widmark
From this morning’s
New York Times:
NY Times  obituaries  March 27, 2008

Click image to enlarge.

The “Boy’s Life” illustration is of an Arthur C. Clarke story, “Against the Fall of Night.” This, according to the review quoted below, was Clarke’s first story, begun in 1936 and first published in 1948. The title is from a poem by A. E. Housman, “Smooth Between Sea and Land.” See Log24 on the Feast of St. Mark, 2003.

From a book review by Christopher B. Jones:

Against the Fall of Night describes well how it often takes youth to bring forth change. The older mind becomes locked in a routine, or blocks out things because it has been told that it shouldn’t think or talk about them. But the young mind is ever the explorer, seeking out knowledge without the taboos placed on it by a rigid society. Alvin is a breath of fresh air in the don’t-look-over-the-wall society of Diaspar.

Myths play a big role, and an interesting religious overtone pervades the story with a long since departed being whose origins are unknown and who played an important part in Earth’s past. Parallels to Jesus can easily be drawn, and the forecast shown for the longevity of religions in general seems to me to be rather accurate….

Finally, when Alvin uncovers part of the truth he has been looking for, he learns of the dangers and stagnation that can befall a xenophobic society. There are still a few such societies in the world today, and this characteristic almost always comes with negative effects– even if it has been cultivated with the intention to protect.”

An example of such a xenophobic society is furnished by the Hadassah ad currently running in the New York Times obituaries section: “Who will say Kaddish in Israel?”

Another example:

Tom Stoppard, in the London Times of Sunday, March 16, 2008, on the social unrest of forty years ago in 1968–

“Altering the psyche was supposed to change the social structure but, as a Marxist, Max knows it really works the other way: changing the social structure is the only way to change the psyche. The idea that ‘make love, not war’ is a more practical slogan than ‘workers of the world unite’ is as airy-fairy as the I Ching.”

Airy-fairy, Jewey-phooey.

Clarke’s 1948 story was the basis of his 1956 novel, The City and the Stars. In memory of the star Richard Widmark, here are two illustrations from St. Mark’s Day, 2003:

Housman asks the reader
to tell him of runes to grave
or bastions to design
“against the fall of night.”

Here, as examples, are
one rune and one bastion.

Dagaz rune

The rune

k
nown as
Dagaz

Represents
the
balance point
or
still point.”

The Nike bastion


The Nike Bastion

Neither part of this memorial suits the xenophobic outlook of Israel. Both parts, together, along with his classic film “The Long Ships,” seem somehow suited to the non-xenophobic outlook of Richard Widmark. As for the I Ching… perhaps Widmark has further voyages to make.

Wednesday, December 29, 2004

Wednesday December 29, 2004

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

The Dark Door

From Log24.net, Dec. 22, 2003:

“One, two, three, and we began to sing, our voices high and seemingly distant in the snow-felted darkness round the house that was occupied by nobody we knew. We stood close together, near the dark door.

 

 

Good King Wenceslas looked out
On the Feast of Stephen.”

— Dylan Thomas,
A Child’s Christmas in Wales

“The day after Christmas
turned out to be a living nightmare.”

Arthur C. Clarke, Dec. 27, 2004

Adapted from the logo of the
Arthur C. Clarke Foundation:

The image “http://www.log24.com/log/pix04B/041229-Logo2.gif” cannot be displayed, because it contains errors.

Dabo claves regni caelorum.  By silent shore
Ripples spread from castle rock.  The metaphor
For metamorphosis no keys unlock.

“Endgame,” Steven H. Cullinane,
November 7, 1986

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.

Saturday, July 26, 2003

Saturday July 26, 2003

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

The Transcendent
Signified

“God is both the transcendent signifier
and transcendent signified.”

— Caryn Broitman,
Deconstruction and the Bible

“Central to deconstructive theory is the notion that there is no ‘transcendent signified,’ or ‘logos,’ that ultimately grounds ‘meaning’ in language….”

— Henry P. Mills,
The Significance of Language,
Footnote 2

“It is said that the students of medieval Paris came to blows in the streets over the question of universals. The stakes are high, for at issue is our whole conception of our ability to describe the world truly or falsely, and the objectivity of any opinions we frame to ourselves. It is arguable that this is always the deepest, most profound problem of philosophy. It structures Plato’s (realist) reaction to the sophists (nominalists). What is often called ‘postmodernism’ is really just nominalism, colourfully presented as the doctrine that there is nothing except texts. It is the variety of nominalism represented in many modern humanities, paralysing appeals to reason and truth.”

Simon Blackburn, Think,
Oxford University Press, 1999, page 268

The question of universals is still being debated in Paris.  See my July 25 entry,

A Logocentric Meditation.

That entry discusses an essay on
mathematics and postmodern thought
by Michael Harris,
professor of mathematics
at l’Université Paris 7 – Denis Diderot.

A different essay by Harris has a discussion that gets to the heart of this matter: whether pi exists as a platonic idea apart from any human definitions.  Harris notes that “one might recall that the theorem that pi is transcendental can be stated as follows: the homomorphism Q[X] –> R taking X to pi is injective.  In other words, pi can be identified algebraically with X, the variable par excellence.”

Harris illustrates this with
an X in a rectangle:

For the complete passage, click here.

If we rotate the Harris X by 90 degrees, we get a representation of the Christian Logos that seems closely related to the God-symbol of Arthur C. Clarke and Stanley Kubrick in 2001: A Space Odyssey.  On the left below, we have a (1x)4×9 black monolith, representing God, and on the right below, we have the Harris slab, with X representing (as in “Xmas,” or the Chi-rho page of the Book of Kells) Christ… who is, in theological terms, also “the variable par excellence.”

Kubrick’s
monolith

Harris’s
slab

For a more serious discussion of deconstruction and Christian theology, see

Walker Percy’s Semiotic.

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