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From: <juergen.domain.name.hidden>

Date: Wed, 30 May 2001 17:50:22 +0200

*> O O > ??? - There is no way of assigning equal
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*> OO O O O > nonvanishing probability to infinitely
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*> O O O O > many mathematical structures, each being
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*> O O O > represented by a finite set of axioms.
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*> OO O O O
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*> O okay - strictly speaking, you are correct. but a
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*> OOOOOOO common trick is to compute equal-probabilities
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*> O on finite subsets of the infinite set. and then
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*> O OOOOO O you can take the limit as those subsets "grow"
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*> O O O to the size of the infinite set.
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*> OOO O
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*> O OO the "growing" here is important - very often the
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*> O OO O order in which you add members to the set change
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*> O OOOO how the series converges. but for the case of
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*> O OOO expected complexity, it does not.
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but in the limit uniform probabilities vanish. Maybe you'd like to

write down formally what you mean.

Received on Wed May 30 2001 - 08:56:17 PDT

Date: Wed, 30 May 2001 17:50:22 +0200

but in the limit uniform probabilities vanish. Maybe you'd like to

write down formally what you mean.

Received on Wed May 30 2001 - 08:56:17 PDT

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