Does it follow that in an infinite timespan anything that can happen necessarily will happen?
Given that we only speak of things "necesarily being able to happen" if given enough time it will happen, yes.
>>8581463
Yes, given infinite time (which we don't have), anything physically possible will happen.
no
consider an infinite timespan in which nothing happens
>>8581477
Kek. Awesome.
>>8581472
>i dont know what infinite means!
Spotted the retard.
>>8581463
lets think of this as a probability scenario...
Assuming that every event has a probability > 0 ("can happen"), and given an infinite amount of time ("an infinite amount of events will happen"), I think it's fair to say that everything with probability > 0 will happen in such a span of time
It's not realistic to consider, though, because our universe isn't infinite.
However, if we think about it a different way...
Everything that "can happen" includes me winning a lottery ticket at probability 0.000001. However, if I die before that happens, it "could have happened" and even if time went infinitely it will NEVER happen, because I will NEVER exist again
Interesting question OP and I presented two possible thought processes for it, let me know what you think about it
>>8581463
Just because a given set is infinite DOES NOT mean it is all inclusive.
>>8581463
There's no such thing as an infinite timespan or an infinite amount of anything.
>>8581463
Does it follow that in an infinite region of space anything that can exist will exist?
Multiple phrases you use are not well-defined
>>8581598
The question is hypothetical.
>>8581463
Depends on what you mean by "can". The universe might just loop through one particular pattern forever, kind of like a repeating decimal, e.g. 0.123123123...
It might also be more like a transcendental number which doesn't seem to follow any obvious pattern.
>>8581463
No.
>>8581500
Except given infinite time you WILL exist again, and that you WILL win the lottery.
No, because otherwise it would mean paradoxes will happen.