I would also characterize myself as more of a pragmatist, and to me, the pragmatic version of that debate is around a reframing of the question, which becomes the classic: "Why is mathematics so (unreasonably) useful?" I.e. why does math work at all?
Certainly looking at what mathematics is or could be in relation to the rest of the universe looks like a legitimate research area to then potentially guide the evolution of our mathematical tools.
I'm particularly interested in how one can reconcile naturalism/physicalism/materialism/monism with non-platonism/nominalism, i.e. if there is no such thing as Platonic ideals, what's the "physical" nature of math?
(Using lots of quotes here because I'm being lazy and not super careful with the terms I'm using — I'm aware.)
Certainly looking at what mathematics is or could be in relation to the rest of the universe looks like a legitimate research area to then potentially guide the evolution of our mathematical tools.
I'm particularly interested in how one can reconcile naturalism/physicalism/materialism/monism with non-platonism/nominalism, i.e. if there is no such thing as Platonic ideals, what's the "physical" nature of math?
(Using lots of quotes here because I'm being lazy and not super careful with the terms I'm using — I'm aware.)