May 23, 2007

  • Details

    Devil in the Details
     
    (cont. from May 18)

    From the May 18 Harvard Crimson:

    “Paul B. Davis ’07-’08, who contributed to a collection of student
    essays written in 2005 on the purpose and structure of a Harvard
    education, said that ‘the devil is in the details’….”

    Related material:

    “In philosophy, reductionism is a theory that asserts that the nature of complex things is reduced to the nature of sums of simpler or more fundamental things.” –Wikipedia

    “In the 1920′s… the discovery of quantum mechanics went a very long
    way toward reducing chemistry to the solution of well-defined
    mathematical problems. Indeed, only the extreme difficulty of many of
    these problems prevents the present day theoretical chemist from being
    able to predict the outcome of every laboratory experiment by making
    suitable calculations. More recently the molecular biologists have made
    startling progress in reducing the study of life back to the study of
    chemistry. The living cell is a miniature but extremely active and
    elaborate chemical factory and many, if not most, biologists today are
    confident that there is no mysterious ‘vital principle,’ but that life
    is just very complicated chemistry. With biology reduced to chemistry
    and chemistry to mathematics, the measurable aspects of the world
    become quite pervasive.” –Harvard mathematician George Mackey, “What Do Mathematicians Do?

    Opposed to reductionism are “emergence” and “strong emergence“–

    “Although strong emergence is logically possible, it is uncomfortably like magic.” –Mark A. Bedau

    Or comfortably.

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