Calvin Lin posted a query which was supposed to be about whether or not "completion of an infinite sequence" could have meaning.
but the subject ended up dwelling on the nature of infinity. Now I'm asking why do we need infinity at all? Here's the question being posed:
Imagine that we have two universes, one that necessarily involves the concept of infinity, the other not needing any such notion of infinity at all, but relying instead on "very large numbers". Is there any way we could tell the difference between the two? What experiment could we conduct to show that the universe that we live in is in one or the other?
Note: The concept of infinity doesn't have to be restricted to time or size, i.e., "infinitely old universe", "infinitely large universe". There are many other things that can involve infinities, such as, for example, quantum field theories.