Re: [asa] Philosophical Musings on Heaven & the Problem of Evi

From: gordon brown <Gordon.Brown@Colorado.EDU>
Date: Tue Jul 29 2008 - 23:22:14 EDT

On Tue, 29 Jul 2008, William Hamilton wrote:

>> 1) Because there are, theoretically, an infinite
>> number of universes God could have created instead of
>> this one, it is logical contradiction to say that God
>> could have created the "best of all possible worlds",
>> since being a part of an infinite set of
>> possibilities, there would always be a better
>> possibility.
>
>
> Not necessarily. Suppose this is the best of all possible worlds. That
> doesn't mean there cannot be an infinite number of worse worlds. As an aside
> I might ask whether he means a countable infinity of worlds or an
> uncountable infinity.

I am not sure where you are headed with this. Williams's error was in
assuming that an infinite ordered set couldn't have a maximum element. It
doesn't matter whether the infinity is countable or uncountable. The
closed interval [0,1] of real numbers from 0 to 1 including 0 and 1 has 0
as a least element and 1 as a greatest element. This set is uncountable.
If you look only at the rational numbers in this interval, you have a
countable infinity of elements, but still the same maximum and minimum as
with the other set.

Gordon Brown (ASA member)

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Received on Tue Jul 29 23:22:51 2008

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