Request: Math expert to prove God doesn't exist.

[Vincenzo Vinny G.]

By using ∞, not .

An infinite future is by definition always going to be an incomplete set.

Please elaborate.

So no, they are not one and the same. Do you think before you post?

I'm brave enough to question what I perceive as wrong, and humble enough to concede I don't know it all.

You're right. I shouldn't be mean.

The difference between the two is that one is a complete set and the other is incomplete.

For example, if we have an infinite future from now to the infinite future, we will never actually get to the infinite future. It will be a limit toward which we will move closer, but never arrive at. This is what the lemniscate refers to. To think of it practically, at any moment in time that you choose between now and the infinite future, only a finite amount of time has passed.

This will never be a true infinite, no matter how much actual time passes, so you never actually get to infinity.

On the other hand, a completed set of infinity is a collection that is meant to be actually infinite, ie, a completed set of infinite objects.