actually i do argue against that.
see maths is /full/ of errors and many are connected with infinity.

infinity is something humans can't grasp and have no way of proofing what happens when it comes to infinity. you would have to stop beeing human and become something godlike standing above the system to describe it. and thats been prooven: that we cannot proove it.
http://en.wikipedia.org/wiki/Halting_problem
and
http://en.wikipedia.org/wiki/G%C3%B6...eness_theorems

what they do now is still calucalate on theories based on more fundamental theories that have been prooven wrong.

it's a funny assumption they make that with infinite tries every possibility neccessarily occurs if they all have the same probability.

actually i do not think that every possible combination will occur by only giving freedom of infinite combinations. you would need something that ensures that /all/ possibilities /have/ to occur. there is no such restriction so some may never occur: we have that possibillity too.

still there is a high probability that something that makes sense comes out with random symbol combinations. for that you do not need infinite tries. you only need a brain that associates symbols with something.
my 2c