by Leonardo Sidis
 P: 15,294 This is why you can't do math with infinity. Infinity is not to be treated as if it is simply a regular number, even if one of very, very large magnitude.
 P: 63 ahh I see. So that would just be another paradox showing WHY you can't treat infinity as a number then. right?
P: 15,294

Yyyyeahh. .. but it's not like mathematicians said "if we do this with infinity we'll get weird results, so let's not."

Infinity is defined, and does not mix with the real numbers.
 P: 367 Sure you can do an infinite number of tasks twice in an infinite ammount of time. You can do this: Task 1 Task 1 again Task 2 Task 2 again Task 3 Task 3 again ... ... again
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P: 3,682
 Quote by Leonardo Sidis Given infinite time, can one do infinite tasks an infinite amount of times?
You can do a countably infintie number of tasks a countably infinite number of times. Just use a diagonal argument:

...

You can see that every task appears an infinite number of times.

It's also not hard to show that an uncountable number of tasks can be done a countably infinite number of times in uncountable time using digit mangling on the unit interval.
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