Month: June 2006

  • "Wind over Water" in the I Ching,
    the Classic of Transformations,
    signifies huan, "dissolving."

    Dissolving:

    Our revels now are ended.
    These our actors,
    as I foretold you,
    were all spirits...

  •   Independence Day Cover

    Chinese Chess

        Click on picture for further details.

  • For the Feast of
    St. Peter:


    "The rock cannot be broken.
    It is the truth."

    -- Wallace Stevens,
    "Credences of Summer,"

    Spellbound, and

    Quotes on Mathematics,
    collected by
    Peter Cameron.

  • Today's birthdays:



    John Cusack is 40,


    Mel Brooks is 80.

    (See midnight on
    Midsummer's Eve
    .)

    "Like Gone with the Wind
    on mescaline"
    -- a description of Savannah

    Noon

    in the Garden of


    Good and Evil:

    The image “http://www.log24.com/log/pix06A/060628-Gump1.jpg” cannot be displayed, because it contains errors.

    Related material
    from December 2005:

    Intelligence/Counterintelligence,

    Prequel on St. Cecilia's Day,

    Intelligence/Counterintelligence
    Continued


  • Chinese Jar

    Revisited


    In memory of
    Irving Kaplansky,
    who died on
    Sunday, June 25, 2006

    "Only by the form,
    the pattern,


    Can words or music reach


    The stillness
    , as a Chinese jar still


    Moves perpetually in its stillness."




    -- T. S. Eliot



    Kaplansky received his doctorate in mathematics at Harvard in 1941 as the first Ph.D. student of Saunders Mac Lane.

    From the April 25, 2005, Harvard Crimson:

    Ex-Math Prof Mac Lane, 95, Dies

    Gade University
    Professor of Mathematics Barry Mazur, a friend of the late Mac Lane,
    recalled that [a Mac Lane paper of 1945] had at first been rejected from a lower-caliber
    mathematical journal because the editor thought that it was "more
    devoid of content" than any other he had read.

    "Saunders wrote
    back and said, 'That's the point,'" Mazur said. "And in some ways
    that's the genius of it. It's the barest, most Beckett-like vocabulary
    that incorporates the theory and nothing else."

    He likened it
    to a sparse grammar of nouns and verbs and a limited vocabulary that is
    presented "in such a deft way that it will help you understand any
    language you wish to understand and any language will fit into it."

    A sparse grammar of lines from Charles Sanders Peirce (Harvard College, class of 1859):

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

    The image “http://www.log24.com/theory/images/PeirceSymbols1.jpg” cannot be displayed, because it contains errors.

    It is true of this set of binary connectives,
    as it is true of logic generally, that (as alleged above of Mac Lane's
    category theory) "it will help you understand any
    language you wish to understand and any language will fit into it."
    Of course, a great deal of questionable material has been written about these connectives. (See, for instance, Piaget and De Giacomo.) For remarks on the connectives that are not questionable, see Wittgenstein's Tractatus Logico-Philosophicus (English version, 1922), section 5.101, and Knuth's "Boolean Basics" (draft, 2006).

    Related entry: Binary Geometry.

  • D-Day Notes
    continued:


    Lyle Stuart, publisher of The Anarchist Cookbook and The Turner Diaries, died at 83 on Saturday, June 24, 2006.

    "Mr. Stuart was named Lionel Simon when he was born in Manhattan, the
    son of a salesman and a secretary.  His father committed suicide when
    the boy was 6."

    Related material:

    The previous entry,

    Plato, Pegasus, and
    the Evening Star,
    and

    Architecture of Eternity

    See also two varieties of Hell,
    from the New York Times on
    Nov. 25, 2005, and yesterday.

  • A Little Extra Reading

    In memory of
    Mary Martin McLaughlin,
    a scholar of Heloise and Abelard.
    McLaughlin died on June 8, 2006.

    "Following the parade, a speech is given by Charles Williams, based on his book The Place of the Lion.
    Williams explains the true meaning of the word 'realism' in both
    philosophy and theology. His guard of honor, bayonets gleaming, is led
    by William of Ockham."

    -- Midsummer Eve's Dream

    A review by John D. Burlinson of Charles Williams's novel The Place of the Lion:

    "... a little extra reading regarding Abelard's take on 'universals' might
    add a little extra spice-- since Abelard is the subject of the
    heroine's ... doctoral dissertation. I'd suggest the
    article 'The Medieval Problem of Universals' in the online Stanford
    Encyclopedia of Philosophy."

    Michael L. Czapkay, a student of philosophical theology at Oxford:

    "The development of logic in the schools and universities
    of western Europe between the eleventh and fifteenth centuries constituted
    a significant contribution to the history of philosophy. But no less
    significant was the influence of this development of logic on medieval
    theology. It provided the necessary conceptual apparatus for the
    systematization of theology. Abelard, Ockham, and Thomas Aquinas are
    paradigm cases of the extent to which logic played an active role in the
    systematic formulation of Christian theology. In fact, at certain points,
    for instance in modal logic, logical concepts were intimately related to
    theological problems, such as God's knowledge of future contingent
    truths."


    The Medieval Problem of Universals, by Fordham's Gyula Klima, 2004:


    "... for Abelard, a status is an object of the divine mind,
    whereby God preconceives the state of his creation from
    eternity."

    Status Symbol

    (based on Weyl's Symmetry):

    The image “http://www.log24.com/log/pix06A/060604-Roots.jpg” cannot be displayed, because it contains errors.

    "... for then we would know

    the mind of God"
    -- Stephen Hawking, 1988

    For further details,
    click on the picture.

  • Language Games:

    Chess and Bingo

    Chess: See Log24, Midsummer Day, 2003. Happy mate change, Nicole.

    Bingo: See a journal entry from seven years ago, On Linguistic Creation. Happy birthday, Willard Van Orman Quine.