RE: Actual Infinity in Reality?
February 14, 2018 at 9:44 pm
(This post was last modified: February 14, 2018 at 9:57 pm by GrandizerII.)
(February 14, 2018 at 9:32 pm)polymath257 Wrote: Saying that the infinity of all positive numbers is different than the infinity of even numbers is problematic. It's like saying the three for the set {1,2,3} is different than the three for the set {3,4,5}. Yes, sure, but so what? The sizes are the same in the Cantorian sense.
The sizes are the same, but the elements are different. It may be a "so what?" for finite numbers, but it's very relevant to point out when trying to pinpoint what Christian apologists are missing with their Hilbert's Hotel argument.
Remember his inf - inf = 3 equation? Do we get this with 3 - 3? Or 4 - 4? Or any number - the same number?