June 9, 2005

  • Kernel of Eternity

    continued

    “At that instant he saw,
    in one blaze of light,
    an image of
    unutterable conviction….
    the core of life, the essential
    pattern
    whence all other things proceed,
    the kernel of eternity.”

    – Thomas Wolfe,
    Of Time and the River

    From “The Relations between
    Poetry and Painting,” by Wallace Stevens:

    “The theory of poetry, that is to say, the total of the
    theories of poetry, often seems to become in time a mystical theology
    or, more simply, a mystique. The reason for this must by now be clear.
    The reason is the same reason why the pictures in a museum of modern
    art often seem to become in time a mystical aesthetic, a prodigious
    search of appearance, as if to find a way of saying and of establishing
    that all things, whether below or above appearance, are one and that it
    is only through reality, in which they are reflected or, it may be,
    joined together, that we can reach them. Under such stress, reality
    changes from substance to subtlety…. It was from the point
    of view of… [such a] subtlety that Klee could write: ‘But he is one
    chosen that today comes near to the secret places where original law
    fosters all evolution. And what artist would not establish himself
    there where the organic center of all movement in time and space—which
    he calls the mind or heart of creation— determines every function.’
    Conceding that this sounds a bit like sacerdotal jargon, that is not
    too much to allow to those that have helped to create a new reality, a
    modern reality, since what has been created is nothing less.”

    As yesterday’s entry “Kernel of Eternity”
    indicated, the word “kernel” has a definite meaning in
    mathematics.  The Klein four group, beloved of structural anthropologists and art theorists, is a particularly apt example of a kernel. (See PlanetMath for details.)

    Diagrams of this group may have influenced Giovanni Sambin, professor of mathematical logic at the University of
    Padua; the following impressive-looking diagram is from Sambin’s

    The image “http://www.log24.com/theory/images/SambinBP1Pic2A.jpg” cannot be displayed, because it contains errors.

    Sambin argues that this diagram reflects some of the basic structures
    of thought itself… making it perhaps one way to
    describe what  Klee called the “mind or heart of creation.” 

    But this verges on what Stevens called the sacerdotal.  It seems
    that a simple picture of the “kernel of eternity” as the four group, a
    picture without reference to logic or philosophy, and without
    distracting
    letters and labels, is required.  The following is my attempt to
    supply such a picture:

    Klein four group

    This is a picture of the four group
    as a permutation group on four points.
    Pairs of colored arrows indicate the three
    transformations other than the identity,
    which may be regarded either as
    invisible or as rendered by
    the four black points themselves.


    Update of 7:45 PM Thursday:


    Review of the above (see comments)
    by a typical Xanga reader:

    “Ur a FUCKIN’ LOSER!!!!!  LMFAO!!!!”

    For more merriment, see
    The Optical Unconscious
    and
    The Painted Word.

    A recent Xangan movie review:

    Annakin’s an idiot, but he’s not an idiot because that’s the way
    the character works, he’s an idiot because George Lucas was too lazy to
    make him anything else. He has to descend to the Daaaahk Side, but the
    dark side never really seems all that dark. He kills children, but
    offscreen. We never get to see the transformation. One minute he cares
    about the republic, the next he’s killing his friends, and then for
    some reason he’s duelling with Obi Wan on a lava flow. Who cares? Not
    me….

    So a big ol’ fuck you to George Lucas. Fuck you, George!

    Both Xangans seem to be fluent in what Tom Wolfe has called the “fuck patois.”

    A related suggestion from Google:


    These remarks from Xangans and Google
     suggest the following photo gift,
    based on a 2003 journal entry:

    The image “http://www.log24.com/log/pix05A/050609-Fahne.jpg” cannot be displayed, because it contains errors.

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