Re: why not high complexity?

From: Karl Stiefvater <qarl.domain.name.hidden>
Date: Wed, 30 May 2001 10:29:45 -0500

                aha! thank you for replying. i'll say more when
 OOO O O i get a moment, but let me first clean-up my
   O OO O sloppy language:
 OO O O
    O O > ??? - There is no way of assigning equal
 OO O O O > nonvanishing probability to infinitely
  O O O O > many mathematical structures, each being
    O O O > represented by a finite set of axioms.
 OO O O O
        O okay - strictly speaking, you are correct. but a
 OOOOOOO common trick is to compute equal-probabilities
        O on finite subsets of the infinite set. and then
O OOOOO O you can take the limit as those subsets "grow"
O O O to the size of the infinite set.
   OOO O
 O OO the "growing" here is important - very often the
 O OO O order in which you add members to the set change
 O OOOO how the series converges. but for the case of
 O OOO expected complexity, it does not.
   O O OO
 O O
 O OOOO O
O -k
Received on Wed May 30 2001 - 08:38:48 PDT