You said Now if something is impossible (ie a one in infintity probablity)...
Impossible is by definition zero probability (i.e. No chance at all). One in infinity is only extremely unlikely.
then it will occur an infinite number of times in a system that approaches infinity at a geometric rate.
How can you possibly get that idea? Basic logic tells you that if something has a one in infinity change of occuring, and you have an infinite number of systems, that the event in question will happen exactly one time. One in infinity. Of course, since infinity is not a number, but a mathematical construct, neither argument is actually valid, but at least mine is logically consistant. |