Norman Samish writes:
>Jonathan,
> If it is true that “In infinite time and infinite space, whatever can
>happen, must happen, not only once but an infinite number of times,” then
>what does probability mean? In your example below, there must be an
>infinity of worlds where Colin Powell is president and an infinity of
>worlds
>where your 6-year old niece is president. Are you saying that the Colin
>Powell infinity is bigger than the 6-year old niece infinity?
>Norman
Yes, there are different sizes of infinity. For example, there are "more"
integers than there are even numbers, even though there are an infinite
number of both, and there is a 50% chance that a random integer is even.
Cantor and all that.
--Stathis Papaioannou
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Received on Thu Apr 28 2005 - 20:40:22 PDT