If a line is infinite it has no ends to join. No matter how far you go you will never find an end.Is infinity unreal? We talk about infinite space or an infinite number of real numbers between 0 and 1 a sort of endless division by 2 or whatever. But I wonder how real Infinite actually is.
It seems as if there is a resolution (like joining the ends) but more profound. As if there is something more fundamental than 'joining the ends'
- Take an infinite line and join the ends. Is it a finite circle? Or is it an infinitely expanding circle?
- How about the real numbers between 0 and 1. If you integrate from 0 to 1 you get 1. Is that like joining the ends?
- And, even if the universe is closed (as opposed to an infinite flat Euclidian one) can it expand infinitely?
I cannot crack it. Anyone?