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echo: philos
to: MATT EGGLESTON
from: BOB SEWELL
date: 1998-02-21 17:45:00
subject: `Existence Exists`

 In a deposition submitted under oath, Matt Eggleston said:
 ME> AC>There is no such thing as a half infinite line.  That's
 ME> AC>illogical and undefined.
 ME> The infinite anything is already illogical and undefined if thought of
 ME> as an actuality instead of as a potential.
    It is not necessarily undefined, but can be defined in many ways.
 And infinity is anything *but* illogical.
    One (informal) definition of the infinity of positive real numbers
 is that for any and every very large number M you can name, I can
 always name larger numbers, such as M + 1, or M + M, or M * M, or M ^ M
 (M to the power of M).  A definition of negative infinity is similar,
 in that for any and every very negative number N of large magnitude you
 can name, I can always name one with a larger negative magnitude, e.g.,
 N - 1, N + N, N * -N, etc.
    And just to potentially blow your mind, the infinite set of all
 integers is larger than the infinite set of positive integers, which is
 larger than the infinite set of all even, positive integers, which is
 larger than the infinite set of all positive integers evenly divisible
 by 3, which is larger than... well, perhaps you get the picture.
    May I recommend _Infinity and the Mind_ by Rudy Rucker, in paperback
 by Bantam Books, ISBN 0-553-23433-1.  Fascinating book on the "science
 and philosophy of the infinite."
... Ex auribus cognoscitur asinus.
--- PPoint 2.05
---------------
* Origin: Seven Wells On-Line * Nashville, TN (1:116/30.3)

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