13.0447 algorithm outlined

From: Humanist Discussion Group (willard@lists.village.virginia.edu)
Date: Sun Feb 27 2000 - 09:33:52 CUT

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                   Humanist Discussion Group, Vol. 13, No. 447.
           Centre for Computing in the Humanities, King's College London

             Date: Sun, 27 Feb 2000 09:31:14 +0000
             From: "Osher Doctorow" <osher@ix.netcom.com>
             Subject: Metamorphoses algorithm outlined

    From: <mailto:osher@ix.netcom.com>osher@ix.netcom.com, Osher Doctorow,
    Ph.D., 2-25-00, 4:45PM Pacific USA time

    Dear Colleagues:

    Here is a slight expansion of the outline of the algorithm which I think
    would work for Metamorphoses.

    I. Is the event rare?
          A. temporally (birth, death, etc., genius, great invention)
          B. spatially (black holes, neutron stars, large meteors striking
    earth, etc.)
          C. conceptually (great compositions including poetry, music,
    philosophy, etc.)

    II. Does the event occur at the boundary of something
          A. temporally (Renaissance, onset of Industrial Revolution, etc.)
          B. spatially (surface of a person, planet, physical object, etc.)
          C. conceptually (the boundary between psychology and philosophy,
    literature and psychology, literature and philosophy, philosophy and
    science, philosophy and theology, etc.)

    III. Does the event occur at the "center" or "near center" of something
          A. temporally (the so-called Middle Ages of European history, the
    halfway point of a planet's history, etc.)
          B. spatially (center of gravity, center of mass, centroid, center of
    magnetism, center of a city, center of a cell, center of an organ in a
    human or animal body, etc.)
          C. conceptually (the "key part" of a proof in logic or mathematics,
    pure or applied, the central point or focus of an argument or play or book,

    IV. Does the event occur in a clearly distinguished substructure of something
          A. temporally (a geologial era, a cosmological era, the Middle Ages,
          B. spatially (a town, a university in a town, an organ in the human
    body, a cell in an organ, a gene in a cell, a geophysical stratum-like
    structure such as the core of a planet, etc.)
          C. conceptually (a sub-theorem or lemma in science and logic, a
    subset, a major subcategory of an argument, a theorem as a substructure of
    a whole theory, etc.)

    V. Is the event lower-dimensional compared to usually observed events in
    the space (generally taken to be 3-dimensional space and 1-dimensional
    time, also written 3+1 dimensional)
          A. temporally (a point in time, which has dimension 0 since it has no
    length, width, or breadth, etc.)
          B. spatially (the surface of a physical object (the surface being
    2-dimensional), a plane or plane figure or laminae section of a physical
    object (also 2-dimensional), a line or line segment or curve (curved line)
    - which is 1-dimensional since it only has length, not width or depth
          C. conceptually (a concept which can be modeled as lower dimensional
    than another concept, a concept which can be ordered in some way relative
    to other concepts (high influence, medium influence, low influence; high
    entropy, medium entropy, low entropy categories; high priority, medium
    priority, low priority, etc.)

    VI. Is the event or its associated random variable(s) uniformally
    distributed (or, to a discrete approximation, equiprobable) or distributed
    with some other finite interval distribution, or is it distributed over the
    whole nonnegative real line like the gamma distribution (which includes the
    exponential and chi-squared distributions), or is it symmetrically
    distributed like the normal/Gaussian distributions.
          A. temporally
          B. spatially
          C. conceptually

    VII. What are the parameters of the event and its
    probabilistic/statistical summaries, such as LBP expectation (population
    mean), LBP variance, LBP probability (which may involve cumulative
    distribution functions cdf, probability density functions pdf, etc.),
    derivatives or rates of change related to the event, etc.

    VIII. What can be predicted and/or experimentallyor quasi-experimentally
    tested about the event or events related to it?

    There may be other major categories of the summary, but these would
    certainly be of major importance. It is recommended that those who are
    interested try the outline itself on some passage from the
    Metamorphoses. It does not require mechanization at this exploratory
    stage, I would think.

    Osher Doctorow

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