&gt; It&#x27;s alluring to accept this axiom, but when challenging a platonic view of mathematics, I don&#x27;t think that we should accept that without discussion.<p>Not sure I follow. It&#x27;s not an axiom, but the conclusion of a bit of argument, so it&#x27;s not accepted without discussion.<p>If you mean my statement, then yes, I&#x27;m going to assume that rocks are real (as almost everyone except maybe Idealists) do, but not assume mathematical objects are real, for the sake of the present debate.