(September 14, 2012 at 5:55 pm)automaton Wrote: In an infinite amount of time it's IMPOSSIBLE for everything to not occur infinitely, even if that everything is also infinitely varied. If there's an infinite amount of time, I would say it IS necessary that all of them must be repeated. Infinity isn't a finite number, so we can't treat it in the same way.
Simply stating that doesn't make it true. You have made a statement that in an infinite amount of time, each and every event must be repeated. How do you address the following objections?
1. How do you know that the number of events is finite?
2. Even if the number of events is finite, how do you know that it's not the case that only some repeat infinitely while others occur singularly?
3. The number line is infinite in both directions and yet each and every number occurs only and exactly once. None of them is repeated even once. How do you know that the same concept is not applicable to timeline on which the events represent mere discrete points?
