Month: April 2004

  • Notes


      


    On "Notes Toward a Supreme Fiction," by Wallace Stevens:


    "This third section continues its play of opposing forces, introducing in the second canto a 'blue woman,' arguably a goddess- or muse-figure, who stands apart from images of fecundity and sexuality...."


    -- Michael Bryson 


    From a Beethoven's Birthday entry:


    Moulin Bleu


      


    Kaleidoscope turning...
    Shifting pattern
    within unalterable structure...
    -- Roger Zelazny, Eye of Cat   


    See, too, Blue Matrices, and
    a link for Beethoven's birthday:



    Song for the
    Unification of Europe
    (Blue 1)


    From today's news:


    PRAGUE, Czech Republic (AP) - Ushering in a bold new era, hundreds of thousands of people packed streets and city squares across Europe on Friday for festivals and fireworks marking the European Union's historic enlargement to 25 countries from 15.


    The expanded EU, which takes in a broad swath of the former Soviet bloc - a region separated for decades from the West by barbed wire and Cold War ideology - was widening to 450 million citizens at midnight (6 p.m.EDT) to create a collective superpower rivalling the United States.


    "All these worlds are yours
    except Europa.
    Attempt no landing there."


  • Library


    These are the folios of April,
    All the library of spring


    Christopher Morley


    The above quotation is dedicated to Quay A. McCune, M.D., whose copy of Bartlett's Familiar Quotations I purchased for two dollars at a Friends of the Library sale on July 2, 1999.  Dr. McCune's copy of Bartlett was the twelfth edition, of November 1948, in a February 1952 reprint.  It was edited by Christopher Morley.


    Incidentally, Morley's father Frank, a professor of mathematics, is the discoverer of Morley's theorem, which says that the angle trisectors of any triangle, of whatever shape, determine an equilateral "Morley triangle" hidden within the original triangle.


        


    Those familiar with Dorothy Sayers's explication of the Trinity, The Mind of the Maker, will recognize that this figure represents a triumph over the heresies she so skillfully describes in the chapter "Scalene Trinities."  From another chapter:


    "... this is the Idea that is put forward for our response. There is nothing mythological about Christian Trinitarian doctrine: it is analogical. It offers itself freely for meditation and discussion; but it is desirable that we should avoid the bewildered frame of mind of the apocryphal Japanese gentleman who complained:



    'Honourable Father, very good;
     Honourable Son, very good; but
     Honourable Bird
         I do not understand at all.'


    'Honourable Bird,' however, has certain advantages as a pictorial symbol, since, besides reminding us of those realities which it does symbolise, it also reminds us that the whole picture is a symbol and no more."


    In the Morley family trinity, if Frank is the Father and Christopher is the Son, we must conclude that the Holy Spirit is Christopher's mother — whose maiden name was, appropriately, Bird.

  • X



    Tonight on PBS:
    The Jesus Factor


    From Good Friday:






    3 PM
    Good
    Friday



    For an explanation
    of this icon, see


    Art Wars
    and
    To Be.


    From Eternity:






    "Red Hook! Jesus!"


    From Holy Saturday:







    "There is a suggestion of Christ descending into the abyss for the harrowing of Hell.  But it is the Consul whom we think of here, rather than of Christ.  The Consul is hurled into this abyss at the end of the novel."


    -- Introduction to
    Under the Volcano


    Couleurs



    In memory of
    René Descartes
    (born March 31)
    and
    René Gruau
    (died March 31)


    On the former:


    "The predominant use
    of the letter

    x
    to represent
    an unknown value
    came about in
    an interesting way."


    On the latter:


    "The women he drew
    often seemed
    to come alive."


    "...a 'dead shepherd who brought
    tremendous chords from hell
    And bade the sheep carouse' "


    (p. 227, The Palm at the End of the Mind: Selected Poems and a Play. Ed. Holly Stevens. New York: Vintage Books, 1990)
    — Wallace Stevens
        as quoted by Michael Bryson


    See also the entries of 5/12.

  • Example


    "...the source of all great mathematics is the special case, the concrete example. It is frequent in mathematics that every instance of a concept of seemingly great generality is in essence the same as a small and concrete special case."


    — Paul Halmos in
        I Want To Be a Mathematician

  • Last Exit:
    A Meditation for Poetry Month


    Click on the picture below for details.







    Notes on the compiling of Only the Dead:


    Today's obituary of the author of Last Exit to Brooklyn suggested I look up Wolfe's short story, "Only the Dead Know Brooklyn."  That story contained, near its end, a reference to drowning.  Thoughts of drowning and of Brooklyn suggested (this being poetry month) Hart Crane's classic The Bridge.  When I looked for material on Crane on the Web, I found, to my considerable surprise, that today is the anniversary of Crane's death.


    As Wolfe says, apropos of Selby and Brooklyn,


    "Red Hook! Jesus!"


    As Crane says, apropos of Wolfe and the Brooklyn Bridge,


    "Terrific threshold of the prophet's pledge,
    Prayer of pariah, and the lover's cry...."


    Unfortunately, the bridge is not for sale.  However....

  • The Whisper


    Two interviews by Rebecca Murray —


    Interview with Sofia Coppola, who won an Oscar for the screenplay of Lost in Translation: 


    Did you write that character with Bill Murray in mind?
    I did. I was definitely picturing him and I definitely wrote it for him. I couldn't really think of anyone else.


    Interview with Bill Murray, costar — with Scarlett Johansson — of Lost in Translation:


    Your character whispers something to Scarlett’s character in a crucial scene. Can we know what you said?
    You never will.


    True.  But we can imagine.



    Hint 1: The publication date for
    Kierkegaard's Works of Love
    in a sixties paperback edition:
    November 7, 1964
    (See Directions Out)


    Hint 2: The above photo
    of Scarlett Johansson
    just walking down the street


    Hint 3: The top 10 songs
    of November 7, 1964


    Final hint: It's a song title.

    Answer

  • Outside the World


    (A sequel to the previous entry)


    Title: The Point Outside the World:
             Kierkegaard and Wittgenstein
             on Nonsense, Paradox, and Religion


    Author: M. Jamie Ferreira
               (Love's Grateful Striving
               (U. of Va., Charlottesville)


    Appeared in: Wittgenstein Studies 2/97,
                        also in  Religious Studies,
                        Vol. 30, March 1994,
                        pp. 29-44.


    See particularly the following passage:



    The second rationale for the indirection of communication of the religious is also antitheoretical and a practical re-orientation (to acquire new skills, "to be able") rather than the reception of information.

    This appreciative understanding of the speaker distinguishes the austere view from that which rejects religious language, but the austere view also reveals an understanding of religious utterances as grammatical remarks, meaningful as rules of linguistic usage.  Wittgenstein points to "Theology as grammar" when he writes that "Grammar tells us what kind of object anything is" and that "The way you use the word 'God' does not show whom you mean -- but rather what you mean." 30


    He illustrates: "God's essence is supposed to guarantee his existence -- but what this really means is that what is here at issue is not the existence of something." 31

    Grammatical remarks are rules for use; they are neither empirical conclusions nor attempts to offer a perspective from "outside the world."


    30 Philosophical Investigations, no. 373;
        Culture and Value, p. 50.

    31 Culture and Value, p. 82.


    As noted in the previous entry, the number 373 does seem to point, whether Wittgenstein meant it to or not, to "a point outside the world."


    Of course, the pointing is in the eye of the beholder... As, for instance, the time of this entry, 5:24, "points" to Kali, the Dark Lady, as played (yet again -- see previous entry) by Linda Hamilton.

  • Directions Out


    Part I: Indirections



    "By indirections, find directions out."


    -- Polonius in Hamlet: II, i


    "Foremost among the structural similarities between Kierkegaard and Wittgenstein... is the use of indirect communication: as paradoxical as it may sound, both authors deliberately obfuscate their philosophy for the purposes of clarifying it....  let us examine more closely particular instances of indirect communication from both of the philosophers with the intention of finding similarity. 'By indirections, find directions out.' – Polonius in Hamlet: II, i"


    -- WowEssays.com


    On religious numerology (indirections)...


    For the page number "373" as indicating "eternity," see


    Zen and Language Games (5/2/03), which features Wittgenstein,


    Language Game (1/14/04), also featuring Wittgenstein, and


    Note 31, page 373, in Kierkegaard's Works of Love (1964 Harper Torchbook paperback, tr. by Howard and Edna Hong),  


  • Publisher: Perennial (Nov. 7, 1964)
  • ISBN: 0061301221

    which says "Compare I John 4:17."


    Okay....



    4:17  Herein is our love made perfect, that we may have boldness in the day of judgment: because as he is, so are we in this world.


    The reference to Judgment Day leads us back to Linda Hamilton, who appears (some say, as noted in Zen and Language Games, as the Mother of God) in Terminator 2: Judgment Day, and to Part II of our meditation....


    Part II: Directions Out


    "This Way to the Egress"


    -- Sign supposedly written by P. T. Barnum


    A Google search on this phrase leads to the excellent website


    The Summoning of Everyman.


    Related thoughts....


    A link from Part I of a log24 entry for Thursday, April 22:


    ART WARS:
    Judgment Day
    (2003, 10/07)


    to the following --


     


    Frame not included in
    Terminator 2: Judgment Day


    Dr. Silberman: You broke my arm!


    Sarah Connor: There are
    two-hundred-fifteen bones
    in the human body,
    [expletive deleted].
    That's one.


    This suggests, in light of the above-mentioned religious interpretation of Terminator 2, in light of the 2003 10/07 entry, and in light of the April 22 10:07 PM log24 invocation, the following words from the day after the death of Sgt. Pat Tillman:


    Doonesbury April 23, 2004



    A more traditional farewell, written by a soldier, for a soldier, may be found at The Summoning of Everyman site mentioned above:


    A Few Noteworthy Words 
    From an American Soldier
    .

  • Philosophy


    From today's New York Times:



    "Philip Hamburger, a writer for The New Yorker for more than six decades whose meticulously calibrated inflections — sober, droll and everything in between — helped create and nurture the magazine's reputation for urbanity, died on Friday [April 23, Shakespeare's birthday] at Columbia Presbyterian Center in Manhattan. He was 89....


    Although he had a light touch, reflecting his own affability, there were times when he did not seek to amuse."


    From Friday's rather unamusing log24 entry on the philosophy of mathematical proof, a link to a site listed in the Open Directory under


    Society: Philosophy: Philosophy of Logic: Truth Definitions --



    "See also The Story Theory of Truth."


    From the weekend edition (April 24-25) of aldaily.com, a Jew's answer to Pilate's question:



    With a philosophy degree you can ask such difficult questions as “What is truth?”, “Can we know the good?”, and “Do you want fries with that?”... more»


    Whether Hamburger's last Friday was in any sense a "good" Friday, I do not know.

    Related religious meditations....

    From Holy Thursday, April 8, 2004:


    The Triple Crown of Philosophy,

    which links to a Hamburger song, and


    from Good Friday, April 9, 2004,

    Temptation,

    an unorthodox portrait of a New Yorker as St. Peter — from Scorsese's "The Last Temptation of Christ."

    The many connoisseurs of death who admire Mel Gibson's latest film can skip the final meditation, from the admirable Carol Iannone:


    The Last Temptation Reconsidered.


    They, as someone once said, have their reward.

  • Small World


    Added a note to 4x4 Geometry:


    The 4x4 square model  lets us visualize the projective space PG(3,2) as well as the affine space AG(4,2).  For tetrahedral and circular models of PG(3,2), see the work of Burkard Polster.  The following is from an advertisement of a talk by Polster on PG(3,2).







    The Smallest Perfect Universe

    "After a short introduction to finite geometries, I'll take you on a... guided tour of the smallest perfect universe -- a complex universe of breathtaking abstract beauty, consisting of only 15 points, 35 lines and 15 planes -- a space whose overall design incorporates and improves many of the standard features of the three-dimensional Euclidean space we live in....

    Among mathematicians our perfect universe is known as PG(3,2) -- the smallest three-dimensional projective space. It plays an important role in many core mathematical disciplines such as combinatorics, group theory, and geometry."


    -- Burkard Polster, May 2001


  • Categories