Can anyone present any counter arguments to the idea that we cannot have an actual infinity?

Question

I tend to lean towards the idea that we can never have an actual infinity, only a potential infinity. For example, let's say our universe is never going to cease to exist, fine. But, we are never going to actually get to that point, because if we were, we couldn't add any time, because infinity can't be added to, you can't add a year to infinity.

Answer 1

The concept of infinity is both vague and ambiguous. Infinity was already proven in theory and there are many different levels of infinity from aleph null to aleph one and so on.

Answer 2

Your use of the term actual infinity is like saying finite infinity. So you are looking for an argument we can have a finite infinity. Saying we can have a finite infinity is like saying we can have yes-no. Sorry, I cannot argue that kind of logic. I agree that we cannot have an acutal infinity. Perhaps a more fundamental question is can we have an infinity, but that metaphysical question may be beyond our understanding... and control.

Answer 3

Infinites exist in mathematics not on their own but rather used in conjunction with a limit (or derived from a limit). So do not think of infinity as an absolute number but rather as a limit.

Answer 4

For your example

Infinity here is a concept not a fixed ( acual / potentiol ) point in time.

that is the counter argument, with this you have to do it.

goof luck

Answer 5

Only God is infinite. Everything else has a starting and stopping point.