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echo: philos
to: BOB SEWELL
from: MATT EGGLESTON
date: 1998-02-26 22:48:00
subject: `Existence Exists`

BS>ME>The fact is, of course, that all REAL numbers and all REAL
BS>ME>objects are finite in fact.  Infinity is only a potential.
BS>    But you cannot mathematically prove that infinity is only a
BS> potential, whereas there are many (if not infinite) mathematical
BS> concepts which can be proven to be infinite.  As Cantor, the inventor
BS> of set theory, in which there are many infinite sets, said, "...in
BS> truth the potentially infinite has only a borrowed reality, insofar as
BS> a potentially infinite concept always points toward a logically prior
BS> actually infinite concept whose existence it depends on." (Georg
BS> Cantor, _Gesammelte Abhandlungen_, Berlin: Springer Verlag, 1932,
BS> pg. 404.
Which means you cannot derive the infinite from the finite.
GIVEN: Math only describes something if there has been a thing
       observed acting in the manner which the math describes.
GIVEN: Nothing has been observed being infinite.
QED:   There is nothing which is mathematically infinite.
That was an amazingly simple proof.
      As ever,
                  Matt Eggleston
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