Re: Implications of MWI

From: Bruno Marchal <>
Date: Fri, 29 Apr 2005 08:08:18 +0200

Le 29-avr.-05, à 02:32, Stathis Papaioannou a écrit :

> 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.

I guess you were in some hurry ... I agree that the measure of "Colin
Powell" is bigger than the "niece". But it is a question of measure (cf
Jesse post) not of cardinality. Also the cardinality of the set of
integers, even integers, prime numbers, square, rationnals .... are all
the same (omega), but they are all less than the cardinality of the
reals, which is itself less than the cardinality of the set of function
from real to <any set with at least 2 elements>. This is proved by the
diagonalisation technic (like the incompleteness result) as I explain
in the list here : and

Received on Fri Apr 29 2005 - 02:14:55 PDT

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