An infinite universe is no guarantee that everything will happen. There are many infinities. For example, there are an infinite number of numbers between three and four, but none of them are five.
That was interesting to me, as it kind of effects something I am interested in – abiogenesis; the idea that life can appear out of semi-random chemical interaction (i.e.; no God).
One of the most popular arguments against abiogenesis is:
The probability of a self-reproducing molecule appearing by chance is so small that it should be considered impossible.
My favourite argument against that is:
In an inifinite universe, every configuration of molecules is not only probable, but inevitable.
The slashdot quote appears to negate that, by saying that even in an infinite universe, there may be impossible configurations. This is correct, but doesn’t really affect my belief in abiogenesis – my justification can be saved by adding one single word:
In an inifinite universe, every possible configuration of molecules is not only probable, but inevitable.
i.e.; in the original quote, it is impossible to have a number 5 which appears between 3 and 4, even though there are an infinite numbers that do appear between 3 and 4. However, the opposite is true – every possible number which is greater than 3 and lesser than 4 is most definitely part of that infinite set of 3<n<4.
So, if there is a molecular configuration which supports life and is possible to replicate in this universe, then it is inevitable that it will appear at some time, given that the universe is infinite.