RE: Actual infinities.
October 17, 2017 at 12:47 pm
(This post was last modified: October 17, 2017 at 12:49 pm by Jehanne.)
(October 17, 2017 at 12:40 pm)RoadRunner79 Wrote:(October 17, 2017 at 12:15 pm)Jehanne Wrote: Cantor's proof is mathematical; of course, no one is claiming that you can enumerate all numbers of the real number line between any two finite points, only that such an infinite set exists. The point is that WLC's claims against "actual infinities" are nonsensical.
Again, I ask what is it that is infinite? I think that as soon as you define the what, you lose the infinity. It is largely a trick of non-definition.
Professor Kenneth Rosen, in his very popular textbook series on Discrete Mathematics, defines an "infinite set is one that is not finite". Or, in other words,
Quote:When we've been there ten thousand years,
Bright shining as the sun,
We've no less days to sing God's praise,
Than when we first begun.
An "actual infinite", no?
P.S. Here's Wikipedia's article on Cantor's proof:
https://en.wikipedia.org/wiki/Cantor%27s...l_argument
