(February 13, 2018 at 7:47 pm)Grandizer Wrote:(February 13, 2018 at 5:16 pm)RoadRunner79 Wrote: 1.) It is unbound by definition, you can't have it complete and thus bound. An actual infinity keeps going and going with more to go after that. It doesn't finish, hence an infinity
Let me just focus on this one for now, because I feel like this is your biggest hurdle.
Complete doesn't imply bounds. Hilbert's hotel was fully occupied, but it doesn't mean that there were limited number of rooms. It just means that, because it had infinite number of rooms, guests were able to [simultaneously] exit their room and each move to the next one, no problem. If there had been a block at the end, then it wouldn't be an infinite number of rooms. It would be a finite number of rooms.
How do you complete an infinity? It seems you cannot by definition to me.
It is said that an argument is what convinces reasonable men and a proof is what it takes to convince even an unreasonable man. - Alexander Vilenkin
If I am shown my error, I will be the first to throw my books into the fire. - Martin Luther
If I am shown my error, I will be the first to throw my books into the fire. - Martin Luther
