RE: Actual infinities.
October 4, 2017 at 6:51 am
(This post was last modified: October 4, 2017 at 6:54 am by Jehanne.)
(October 4, 2017 at 6:11 am)Little lunch Wrote: Anyone feel like giving me a dumbed down summary? :-)
Basically, actual infinities exist all around us, within us and we are constantly in their midst wherever (and whenever) we do anything. Just as Cantor proved that there are an infinite number of numbers between any 2 points on the real number line, so, too, space and time have an infinite number of points between any 2 points in space or time, and so, moving from one point to another means traversing an actual infinite of points. If this is not the case, then Nature, at some level, is discrete, which means that the Universe could be without a beginning and yet, the number of past events would still be finite or simply a "potential infinite".
In any case, the argument against "actual infinities" is not an argument helpful to theism.
