(April 4, 2019 at 4:49 pm)Smaug Wrote: Interesting. Never heard of it before.
I'd say that rejecting infinite mathematical objects is pointless. In Math everything goes as long as it satisfies certain set of pre-defined rules. Mathematical objects can be purely abstract.
There are a small group of mathematicians and a somewhat larger group of philosophers (such as William Lane Craig) who reject the fact that the set of natural numbers is an actual infinite, that is, a set of objects (albeit, "abstract") that has an infinite cardinality, that is, an infinite number of members.