Quadrivium

I think there's room to challenge this notion. Warren Goldfarb, W. B. Pearson Professor of Modern Mathematics and Mathematical Logic, wrote in the conclusion of his work titled, ‘Russell’s Reasons for Ramification’, “Russell's logicist enterprise fails, as is shown by the need for the axiom of reducibility (which cannot be justified on any grounds but expediency); this failure may indeed show, as Godel says, that there is irreducibly mathematical content in mathematics.” I think when discussing true nature one must consider natural commonality and natural logic. After all mathematics is a human interpretation of successful descriptions observed of nature. When we divide by zero or imagine set theory as actualities we are left with infinite potential, and that seems pretty useless in calculating anything of coherence. We instead ignore the paradox associated with zero and finite measurement. We've invented Diracs equations and such to round off probabilities of quantum fields and it works good enough. But that doesn't mean natural logical mechanisms of paradox can't actually exist in nature.