# Re: why not high complexity?

```                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```
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