(February 14, 2018 at 2:34 pm)polymath257 Wrote:(February 14, 2018 at 2:07 pm)SteveII Wrote: Ah, a link!
I read it (and I think I have read it even before today). Nowhere in that entire article does it say anything about mathematicians or scientists believing that an actual infinite of concrete objects (or events) is possible. An infinite set is defined by its members and becomes its own thing. It is a useful fiction. There is nothing that relates it to the real word. Paste the section where you think I misunderstood.
BTW, somewhere in there it actually said spacetime is finite according to big bang-type models.
Actually, it *does* say most believe it is not only possible, but in fact the case.
And yes, it is possible that space is finite. We do not know. Both finite and infinite are possibilities.
Then it shouldn't be hard to cut and paste that section--for both of your points...I'll wait.