Month: January 2005

  • Da Capo, Part II:


    The Elegant Window

    From a review of
    The Nick Tosches Reader,
    published by Da Capo Press:

    "Elegant as a slow blues."

    -- Rolling Stone
     
    "Examples are the
    stained-glass windows of knowledge."

    -- Vladimir Nabokov

    And so....

    RealOne Player

    Windows Media
    .

    See also


    Architecture of Eternity
    .

  • Da Capo
                 
                       
       
              
                              
    You say I am repeating
    Something I have said before. I shall say it again.
    Shall I say it
    again?                                           

    -- Four Quartets

    From Golden Globe night
    :

    The image “http://www.log24.com/log/pix05/050116-Rag.jpg” cannot be displayed, because it contains errors.

    Symbols

    A Game of Chess

    Geometry for Jews

    Geometry of Quartets

  • From today's San Diego Union-Tribune:

    The image “http://www.log24.com/log/pix05/050127-Aus.gif” cannot be displayed, because it contains errors.

    Is it safe?

  • Crystal Night

    From artbook.com:

    Mies van der Rohe:
    Mies in Berlin

    The image “http://www.log24.com/log/pix05/050127-Mies.jpg” cannot be displayed, because it contains errors.

    Winner of
    The Society of Architectural Historians
    2002 Philip Johnson Award
    for Excellence

    Exhibition Catalog

    "Published to accompany
    a
    groundbreaking 2001 exhibition at
    The Museum of Modern Art, New York."

    From Mies and the Mastodon,
    by Martin Filler, The New Republic,
    issue dated Aug. 6, 2001:

    "It would have been wiser for the new MoMA catalog... to have
    addressed the issue of his politics.... By ignoring such a central
    subject... the show gives off a mild stench of cover-up.... Only the
    German-born Rosemarie Haag Bletter (full disclosure: she is my wife)
    alludes to the verboten topic
    in her [catalog] essay on Mies's flirtation with crystal imagery, drawing a sharp
    parallel between the architect's extensive use of Kristallglas
    (plate glass) and the ensuing devastation of Kristallnacht, which
    erupted just three months after he left for the States."

    Also from Filler's essay:

    "Mies's rigorously simplified structures, typified by grids of steel and
    glass and an absence of applied ornament, represented the Platonic ideal
    of modernism for many people."

    For more on history, politics, and
    Mies's disciple Philip Johnson,
    who died Tuesday evening, see

    "We Cannot Not Know History."

    For more on aesthetics, see the
    Log24.net entry of Tuesday noon,

    Diamonds Are Forever.

    For more on a Platonic ideal of sorts,
    see the following figure in two versions:

    Version A, from Plato's Meno and
    Diamond Theory,

    The image “http://www.log24.com/log/pix05/050127-MenoDiamond.gif” cannot be displayed, because it contains errors.

    and Version B,

    The image “http://www.log24.com/log/pix05/050125-Forever.gif” cannot be displayed, because it contains errors.

    from the date of Johnson's death
    at his "famous crystalline box."

    Was less more?

  • The Schroeder-Bernstein Theorem
     
    arranged in musical form
    by Norman Megill

    To hear the music,
    click on the notes:
    The image “http://www.log24.com/log/pix05/050126-Notes.gif” cannot be displayed, because it contains errors.
  • Diamonds Are Forever

    The image “http://www.log24.com/theory/images/Modal-diamondinbox.gif” cannot be displayed, because it contains errors.

    Robert Stone,
    A Flag for Sunrise:

    "
    'That old Jew gave me this here.'  Egan looked at the
    diamond.  'I ain't giving this to you, understand?  The old
    man gave it to me for my boy.  It's worth a whole lot of money--
    you can tell that just by looking-- but it means something, I
    think.  It's got a meaning, like.'

    'Let's
    see,' Egan said, 'what would it mean?'  He took hold of Pablo's
    hand cupping the stone and held his own hand under it.  '"The
    jewel is in the lotus," perhaps that's what it means.  The eternal
    in the temporal.  The Boddhisattva declining nirvana out of
    compassion.   Contemplating the ignorance of you and me,
    eh?  That's a metaphor of our Buddhist friends.'

    Pablo's
    eyes glazed over.  'Holy shit,' he said.  'Santa
    Maria.'  He stared at the diamond in his palm with passion.

    'Hey,' he said to the priest, 'diamonds are forever!  You heard of that, right?  That means something, don't it?'

    'I have heard it,' Egan said.  'Perhaps it has a religious meaning.' "



    "We symbolize logical necessity
    with the box (box.gif (75 bytes))
    and logical possibility
    with the diamond (diamond.gif (82 bytes))."

    -- Keith Allen Korcz


    From

    DIALECTIC AND EXISTENCE

    IN KIERKEGAARD AND KANT


    Nythamar Fernandes de Oliveira

    Pontifical Catholic University
    at Porto Alegre, Brazil

    "Such is the paradoxical 'encounter' of the eternal with the
    temporal. Just like the Moment of the Incarnation, when the Eternal
    entered the temporal, Kierkegaard refers to the category of the Instant
    (Danish Ojeblikket, 'a glance of the eye, eyeblink,' German Augenblick) as the dialectical kernel of our existential consciousness:

    If the instant is posited, so is the eternal --but also the future,
    which comes again like the past ... The concept around which everything
    turns in Christianity, the concept which makes all things new, is the fullness of time, is the instant as eternity, and yet this eternity is at once the future and the past.

    Although I cannot examine here the Kierkegaardian conception of
    time, the dialectical articulation of time and existence, as can be
    seen, underlies his entire philosophy of existence, just as the
    opposition between 'eternity' and 'temporality': the instant, as 'an
    atom of eternity,' serves to restructure the whole synthesis of
    selfhood into a spiritual one, in man’s 'ascent' toward its Other and
    the Unknown. In the last analysis, the Eternal transcends every
    synthesis between eternity and time, infinity and finiteness,
    preserving not only the Absolute Paradox in itself but above all the
    wholly otherness of God. It is only because of the Eternal, therefore,
    that humans can still hope to attain their ultimate vocation of
    becoming a Chistian. As Kierkegaard writes in Works of Love (1847),

    The possibility of the good
    is more than possibility, for it is the eternal. This is the basis of
    the fact that one who hopes can never be deceived, for to hope is to
    expect the possibility of the good; but the possibility of the good
    is eternal. ...But if there is less love in him, there is also less of
    the eternal in him; but if there is less of the eternal in him, there
    is also less possibility, less awareness of possibility (for
    possibility appears through the temporal movement of the eternal within
    the eternal in a human being)."

  • The Diamond
    of Possibility


    by  Keith Allen Korcz

    "We symbolize logical necessity with the box (box.gif (75 bytes)) and logical possibility with the diamond (diamond.gif (82 bytes)). 
    I first discuss combining negations with the box and diamond, noting
    that logical possibility and logical necessity are inter-definable with
    the help of negation: box.gif (75 bytes)p = ~diamond.gif (82 bytes)~p and diamond.gif (82 bytes)p = ~box.gif (75 bytes)~p. Thus, possibility and necessity are two sides of the same coin."

    And what do we           
     symbolize by  The image “http://www.log24.com/theory/images/Modal-diamondbox.gif” cannot be displayed, because it contains errors. ?

  • Old School Tie

    From a review of A Beautiful Mind:

    "We are introduced to John Nash, fuddling
    flat-footed about the Princeton courtyard, uninterested in
    his classmates' yammering about their various accolades. One
    chap has a rather unfortunate sense of style, but rather than
    tritely insult him, Nash holds a patterned glass to the sun,
    [director Ron] Howard shows us refracted patterns of light that take shape
    in a punch bowl, which Nash then displaces onto the neckwear,
    replying, 'There must be a formula for how ugly your
    tie is.' "

    The image “http://www.log24.com/log/pix05/050124-Tie.gif” cannot be displayed, because it contains errors.

    "Three readings of diamond and box
    have been extremely influential."

    -- Draft of
    Computing with Modal Logics
    (pdf), by Carlos Areces
    and Maarten de Rijke

    "Algebra in general is particularly suited for structuring and
    abstracting. Here, structure is imposed via symmetries and
    dualities, for instance in terms of Galois connections....

    ... diamonds and boxes are upper and lower adjoints of Galois connections...."

    -- "Modal Kleene Algebra
    and Applications: A Survey"
    (pdf), by Jules Desharnais,
    Bernhard Möller, and
    Georg Struth, March 2004

    See also
    Galois Correspondence

    The image “http://www.log24.com/log/pix05/050124-galois12s.jpg” cannot be displayed, because it contains errors.


    Evariste Galois

    and Log24.net, May 20, 2004:

    "Perhaps every science must
    start with metaphor
    and end with algebra;
    and perhaps without metaphor
    there would never
    have been
    any algebra."

    -- attributed, in varying forms
    (1, 2, 3), to Max Black,
    Models and Metaphors, 1962

    For metaphor and
    algebra combined, see

    "Symmetry invariance
    in a diamond ring,"

    A.M.S. abstract 79T-A37,
    Notices of the Amer. Math. Soc.,
    February 1979, pages A-193, 194 —
    the original version of the 4x4 case
    of the diamond theorem.