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tachobg
Junior tranceaddict

Registered: Jan 2006
Location: Cambridge, MA / NYC
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| quote: | Originally posted by kadomony
But it wouldn't ever be 0. Since the limit of 1/x approaches 0 as x approaches infinity, the result would still be a real number, correct? |
I see what you mean. The formal analysis of this kind of stuff is the subject of a branch of math called measure theory. Intuitively the outcomes can't all have the same probability, because their sum wouldn't be 1. So there would have to be more probable and less probable universes, which seems to make sense. So the stuff I posted about a bell curve was kind of irrelevant because it's a continuous rather than discrete distribution.
But here's a question -- if there are many universes, why should there be only a discrete set of universes (countably many, such as {1,2,3,...}) as opposed to a continuous spectrum of them (uncountably many)? Just take the current universe and all of the physical things it contains -- you could continuously vary some or all of their physical properties (or can you? does quantum stuff forbid continuous variation?) to make uncountably many new universes. In that case, the probability of any particular one of those is indeed 0.
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May-28-2009 07:05
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