Month: April 2009

  • Annals of Religion:

    Where Entertainment
    Is God

    "For every kind of vampire,
      there is a kind of cross."
      -- Thomas Pynchon in     
        Gravity's Rainbow   

    "Since 1963, when Pynchon's first novel, V., came out, the writer-- widely considered America's most important novelist since World War II-- has become an almost mythical figure, a kind of cross between the Nutty Professor (Jerry Lewis's) and Caine in Kung Fu."

    -- Nancy Jo Sales in the November 11, 1996, issue of New York Magazine

    A Cross Between

    (Click on images for their
      source in past entries.)



    In a Nutshell:

    "Plato's Ghost evokes Yeats's lament that any claim to worldly perfection inevitably is proven wrong by the philosopher's ghost...."

    -- Princeton University Press on Plato's Ghost: The Modernist Transformation of Mathematics (by Jeremy Gray, September 2008)

    "She's a brick house..."
     -- Plato's Ghost according to   
    Log24, April 2007 

    "First of all, I'd like
    to thank the Academy."
    -- Remark attributed to Plato

    Jerry Lewis Wins an Oscar at Last-- TIME magazine




  • Snow White Variations:

    Good's Singularity

    Irving John "I.J." Good died Sunday, April 5, 2009.

    The date of his death was also Palm Sunday and the day of the Academy of Country Music Awards.

    Information from Wikipedia:

    Good, 92, was a cryptanalyst at Bletchley Park during World War II.

    "He was born as Isidore Jacob Gudak to a Jewish family in London. In his publications he was called I. J. Good. He studied mathematics at Jesus College, Cambridge, graduating in 1938. He did research work under G.H. Hardy and Besicovitch before moving to Bletchley Park in 1941 on completing his doctorate.

    At Bletchley Park, he was initially in Hut 8 under the supervision of Alan Turing..."

    [Related material: the death of Turing (a major fan of the Evil Queen in Snow White) and yesterday's entry]

    Wikipedia states that "I. J. Good's vanity car license plate, hinting at his spylike wartime work, was '007 IJG'.... He played chess to county standard, and helped to popularise Go, an Asian boardgame, through a 1965 article in New Scientist (he had learned the rules from Turing). In 1965, he described a concept similar to today's meaning of technological singularity, in that it included in it the advent of superhuman intelligence:

    Let an ultraintelligent machine be defined as a machine that can far surpass all the intellectual activities of any man however clever. Since the design of machines is one of these intellectual activities, an ultraintelligent machine could design even better machines; there would then unquestionably be an 'intelligence explosion,' and the intelligence of man would be left far behind. Thus the first ultraintelligent machine is the last invention that man need ever make....
    -- Good, I. J. (1965). 'Speculations Concerning the First Ultraintelligent Machine', Advances in Computers, Vol. 6."
    "Some say the symbol
    of Apple Computers,
    the apple with a bite out of it,
    is a nod to Alan Turing."

    -- from "Alan Turing and
    the Apple
    " at Flickr, uploaded
    on Epiphany 2006 by guano

    Alan Turing and the Apple

    http://www.log24.com/log/pix09/090408-TuringApples.jpg

    Above: Composite by "guano" at Flickr

    Will: Do you like apples?     
    Clark: Yeah.                       
    Will: Well, I got her number.
     How do you like them apples?

    -- "Good Will Hunting

    Happy Spy Wednesday.

  • ART WARS continued:


    Bright Star and Dark Lady

    on July 26, 2003

    "Mexico is a solar country -- but it is also a black country, a dark country. This duality of Mexico has preoccupied me since I was a child."

    -- Octavio Paz,
    quoted by Homero Aridjis

    Bright Star

    Amen.

     

    Dark Lady

    The same story on
    May 11, 2005

     with a different
    dark lady:

    http://www.log24.com/log/pix09/090407-SnowWhiteQueen.jpg

  • Annals of Fantasy--

    About the People:
    Race to Witch Mountain

    "As Robert Kennedy once told a crowd of students in South Africa, it is a revolutionary world that we live in and, thus, it is young people who must take the lead-- [applause]-- because young people are unburdened by the biases or prejudices of the past."

    -- President Obama in Strasbourg on Friday, April 3, 2009

    "George Bernard Shaw once wrote, 'Some people see things as they are and say why? I dream things that never were and say, why not?'"

    -- Robert Kennedy, University of Kansas, March 18, 1968

    George Bernard Shaw:

    THE SNAKE. I can talk of many things. I am very wise. It was I who whispered the word to you that you did not know. Dead. Death. Die.

    EVE [shuddering] Why do you remind me of it? I forgot it when I saw your beautiful hood. You must not remind me of unhappy things.

    THE SERPENT. Death is not an unhappy thing when you have learnt how to conquer it.

    EVE. How can I conquer it?

    THE SERPENT. By another thing, called birth.

    EVE. What? [Trying to pronounce it] B-birth?

    THE SERPENT. Yes, birth.

    EVE. What is birth?

    THE SERPENT. The serpent never dies. Some day you shall see me come out of this beautiful skin, a new snake with a new and lovelier skin. That is birth.

    EVE. I have seen that. It is wonderful.

    THE SERPENT. If I can do that, what can I not do? I tell you I am very subtle. When you and Adam talk, I hear you say 'Why?' Always 'Why?' You see things; and you say 'Why?' But I dream things that never were; and I say 'Why not?' I made the word dead to describe my old skin that I cast when I am renewed. I call that renewal being born.

    EVE. Born is a beautiful word.

    THE SERPENT. Why not be born again and again as I am, new and beautiful every time?

    EVE. I! It does not happen: that is why.

    THE SERPENT. That is how; but it is not why. Why not?

    EVE. But I should not like it. It would be nice to be new again; but my old skin would lie on the ground looking just like me; and Adam would see it shrivel up and--

    THE SERPENT. No. He need not. There is a second birth.

    EVE. A second birth?

    THE SERPENT. Listen. I will tell you a great secret....

    "Listen, I tell you a mystery...."
    -- Saul of Tarsus   

    About the People
    (with apologies to
    Zenna Henderson):

    'Spaceships, Toddlers, Model T Cars, and Jars of Beer'

    "We've got to stop meeting like this."

  • Live from New York, it's...

    Angels & Demons

    Los Angeles Times, April 1:
    obituary for the green demon of
      Joss Whedon's TV series "Angel"--

    LA Times obituary from April 1, 2009, for Andy Hallett, who played a green demon in the Joss Whedon TV series 'Angel'

    "As you read,
    watch for patterns."

    -- "Pattern in The Defense,"
    apparently by Jeff Edmunds

    Related material:

    Today's previous entries
    and
    "Force Field of Dreams"
    (which contains the
    above quotation)
    in this journal on
    Sept. 22, 2002

  • ART WARS continued:

    Steiner Systems
    "Music, mathematics, and chess are in vital respects dynamic acts of location. Symbolic counters are arranged in significant rows. Solutions, be they of a discord, of an algebraic equation, or of a positional impasse, are achieved by a regrouping, by a sequential reordering of individual units and unit-clusters (notes, integers, rooks or pawns). The child-master, like his adult counterpart, is able to visualize in an instantaneous yet preternaturally confident way how the thing should look several moves hence. He sees the logical, the necessary harmonic and melodic argument as it arises out of an initial key relation or the preliminary fragments of a theme. He knows the order, the appropriate dimension, of the sum or geometric figure before he has performed the intervening steps. He announces mate in six because the victorious end position, the maximally efficient configuration of his pieces on the board, lies somehow 'out there' in graphic, inexplicably clear sight of his mind...."

    "... in some autistic enchantment,http://www.log24.com/images/asterisk8.gif pure as one of Bach's inverted canons or Euler's formula for polyhedra."

    -- George Steiner, "A Death of Kings," in The New Yorker, issue dated Sept. 7, 1968

    Related material:

    A correspondence underlying
    the Steiner system S(5,8,24)--

    http://www.log24.com/log/pix09/090404-MOGCurtis.gif

    The Steiner here is
     Jakob, not George.

    http://www.log24.com/images/asterisk8.gif See "Pope to Pray on
       Autism Sunday 2009."
        See also Log24 on that
      Sunday-- February 8:

    Memorial sermon for John von Neumann, who died on Feb. 8,  1957

  • Mathematics and Narrative, continued:

    Annual Tribute to
    The Eight

    Katherine Neville's 'The Eight,' edition with knight on cover

    Other knight figures:

    Knight figures in finite geometry (Singer 7-cycles in the 3-space over GF(2) by Cullinane, 1985, and Curtis, 1987)

    The knight logo at the SpringerLink site

    Click on the SpringerLink
    knight for a free copy
    (pdf, 1.2 mb) of
    the following paper
    dealing with the geometry
    underlying the R.T. Curtis
    knight figures above:

    Springer description of 1970 paper on Mathieu-group geometry by Wilbur Jonsson of McGill U.

    Context:

    Literature and Chess and
    Sporadic Group References

    Details:

     

    Adapted (for HTML) from the opening paragraphs of the above paper, W. Jonsson's 1970 "On the Mathieu Groups M22, M23, M24..."--

    "[A]... uniqueness proof is offered here based upon a detailed knowledge of the geometric aspects of the elementary abelian group of order 16 together with a knowledge of the geometries associated with certain subgroups of its automorphism group. This construction was motivated by a question posed by D.R. Hughes and by the discussion Edge [5] (see also Conwell [4]) gives of certain isomorphisms between classical groups, namely

    PGL(4,2)~PSL(4,2)~SL(4,2)~A8,
    PSp(4,2)~Sp(4,2)~S6,

    where A8 is the alternating group on eight symbols, S6 the symmetric group on six symbols, Sp(4,2) and PSp(4,2) the symplectic and projective symplectic groups in four variables over the field GF(2) of two elements, [and] PGL, PSL and SL are the projective linear, projective special linear and special linear groups (see for example [7], Kapitel II).

    The symplectic group PSp(4,2) is the group of collineations of the three dimensional projective space PG(3,2) over GF(2) which commute with a fixed null polarity tau...."

    References

    4. Conwell, George M.: The three space PG(3,2) and its group. Ann. of Math. (2) 11, 60-76 (1910).

    5. Edge, W.L.: The geometry of the linear fractional group LF(4,2). Proc. London Math. Soc. (3) 4, 317-342 (1954).

    7. Huppert, B.: Endliche Gruppen I. Berlin-Heidelberg-New York: Springer 1967.

  • Mr. Holland's Week continues:

    Knight Moves

    "Lord, I remember"
    -- Bob Seger 


    "Philosophers ponder the idea of identity: what it is to give something a name on Monday and have it respond to that name on Friday...."

    -- Bernard Holland in The New York Times of Monday, May 20, 1996

    Yesterday's afternoon entry cited philosopher John Holbo on chess. This, together with Holland's remark above and Monday's entries on Zizek, suggests...

    Holbo on Zizek
    (pdf, 11 pages)

    In this excellent analysis,
    Holbo quotes Kierkegaard:

    "... the knight of faith
    'has the pain of being unable to
    make himself intelligible to others'"

    (Kierkegaard, Fear and Trembling)

    For some material that may serve to illustrate Kierkegaard's remark, see Log24 on Twelfth Night and Epiphany this year.

    "... There was a problem laid out on the board, a six-mover. I couldn't solve it, like a lot of my problems. I reached down and moved a knight.... I looked down at the chessboard. The move with the knight was wrong. I put it back where I had moved it from. Knights had no meaning in this game. It wasn't a game for knights."


    -- Raymond Chandler, The Big Sleep

    Perhaps a game for bishops?

    Henry Edward Cardinal Manning

    Cardinal Manning

    Click on the cardinal
    for a link to some remarks
    related to the upcoming film
     "Angels & Demons" and to
    a Paris "Sein Feld."

    Context: the five entries
    ending at 9:26 AM
    on March 10, 2009...
    and, for Kierkegaard,
    Diamonds Are Forever.