A question about infinites:
Say that the universe will be habitable for n years. Lets assume that there is only one universe and that time runs in one direction.
Case 1: If the probability of birth in one moment in time is about impossible. P ~ 0:
- And n is a number, say 13 billion, the probability of birth during n years ~ 0.
- However if n is unlimited high count, the probability of birth = unlimited high in the same time span.
If the given parameters are true, it is unlimited more probable that n is "infinite high" rather than "infinite - 1".
Case 2: if the probability of birth in one moment of time ~unlimited high. Basically, if birth is inevitable:
- And n is any number, no matter how small, the probability of birth = unlimited high.
If these parameters are true, the probability of birth in one moment is inevitable, n may be any number, even converging to zero.
What is this kind of probability dealing with infinites called? It is fascinating, and I would like to read more about it.
Thank you for your time.