"I am an idealist" :he-admit-it:

But seriously, I have no real stakes in platonism, though if you ask me, platonism is just misplaced materialism because numbers very obviously exist in the interactions between themselves within material reality. But I do not care at all about this and find it entirely irrelevant to the topic at hand

I think you're entirely incorrect in thinking that philosophy isn't based in logic. Sometimes that logic is flawed, and sometimes I think someome is wrong but rational anyways, and that the useful thing is to find out how that rationality is based on something real to critique that. But this idea of a "logic" which you think just beats philosophy is sophomoric and gives away that you've never studied it outside of a math book. Taking a philosophy of science class from a non-maths professor would be useful, I think.