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echo: philos
to: WILLIAM ELLIOT
from: BOB SEWELL
date: 1998-04-24 22:48:00
subject: Infinity 22:48:3404/24/98

 Caught on tape by an undercover CIA agent were William Elliot's words:
>> CONTINUED FROM PREVIOUS MESSAGE <<
 WE> Get the idea?  Continue infinitely. limits of limits of limits, limits
 WE> of limits of limits of limits, limits of... ***. (*** means ...
 WE> repeated ... times).  Is your mind boggled by now?  It should be
 WE> otherwise it wouldn't be infinite, now would it? -)
    Yeah, but the limit *is* infinity.  Another way of describing
 infinity with some mathematical operations is "undefined," as in
 division by zero.  Infinity *is* undefinable.
 WE> But I'm describing infinity, and what I've described so far is just a
 WE> beginning, else it wouldn't be infinity, now would it. -)  How big can
 WE> infinity get?  Take an infinite number N and create larger infinities
 WE> N^N, N^N^N, ....  N times, and you've done next to nothing but express
 WE> the expressible. -)  Yet the mystics admonish infinity is
 WE> inexplicable.
    But really, all this is just word and math games, for even if one
 infinite set is shown to be larger than another, say the set of all
 integers vs the set of even integers, how can you really tell?  Who has
 seen the end of either series to know?  I can logically see that the
 latter should be half the size of the former, but my base instincts
 argue against this, since neither set has an end?  Again, how can you
 really tell?
... I used spot remover on my dog.  Now he's gone.
--- PPoint 2.05
---------------
* Origin: Seven Wells On-Line * Nashville, TN (1:116/30.3)

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