(February 19, 2018 at 10:56 pm)Jehanne Wrote:(February 14, 2018 at 5:57 pm)SteveII Wrote: I am not asking if there is a concept in mathematics that deals with infinity or if there exists sets with an infinite number of members (although you might use the concept in a larger argument). I am not asking if we can theoretically divide something an infinite amount of times (although you might use the concept in a larger argument). I am not asking about a potential infinite.
I am asking about an actual infinite of something concrete (not abstract). Can it logically exist? Why or why not?
No mention of God either. Philosophy subforum--let's stick with pure metaphysics.
Steve,
Sorry that I missed this thread. Watch these three videos:
https://www.khanacademy.org/math/math-fo...f-infinity
Steves argument is that mathematical [actual] infinity cant be shown to be mapped to reality. Hes not disputing the validity of the maths perse ... or so he says. But he does argue that the maths would lead to absurdities if applied to the real world. Therefore, according to him, actual infinity cannot be ... actual. But the paradox hes referring to is veridical, its apparent ... not actual ... paradox. Its the kind of outcome to be expected with infinite sets of things as opposed to finite sets, only because there are no ends on one or both sides of the infinite set.