September 28, 2005

  • Mathematical Narrative,

    continued:

    There is a
    pleasantly discursive treatment
    of Pontius Pilate’s unanswered question
    “What is truth?”

    — H. S. M. Coxeter, introduction to
    Richard J. Trudeau’s
    The Non-Euclidean Revolution

    “People have
    always longed for truths about the world — not logical
    truths, for all their utility; or even probable truths,
    without which daily life would be impossible; but
    informative, certain truths, the only ‘truths’ strictly
    worthy of the name. Such truths I will call ‘diamonds’;
    they are highly desirable but hard to find….The happy
    metaphor is Morris Kline’s in Mathematics in Western
    Culture
    (Oxford, 1953), p. 430.”

    — Richard J. Trudeau,
       The Non-Euclidean Revolution,
       Birkhauser Boston,
       1987, pages 114 and 117

    “A new
    epistemology is emerging to replace the Diamond Theory of
    truth. I will call it the ‘Story Theory’ of truth: There
    are no diamonds. People make up stories about what they
    experience. Stories that catch on are called ‘true.’ The
    Story Theory of truth is itself a story that is catching
    on. It is being told and retold, with increasing frequency,
    by thinkers of many stripes…. My own viewpoint is the
    Story Theory…. I concluded long ago that each enterprise
    contains only stories (which the scientists call ‘models of
    reality’). I had started by hunting diamonds; I did find
    dazzlingly beautiful jewels, but always of human
    manufacture.”

     
    — Richard J. Trudeau,
         The Non-Euclidean Revolution,
         Birkhauser Boston,
         1987, pages 256 and 259

    An example of
    the story theory of truth:

    The image “http://www.log24.com/log/pix05B/050925-Proof1.jpg”<br />
cannot be displayed, because it contains errors.

    Actress Gwyneth Paltrow (“Proof”) was apparently born on either Sept.
    27, 1972, or Sept. 28, 1972.   Google searches yield  “about 193” results for the 27th and “about 610” for the 28th.

    Those who believe in the “story theory” of truth may therefore want to
    wish her a happy birthday today.  Those who do not may prefer
    the contents of yesterday’s entry, from Paltrow’s other birthday.

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