On the necessity of importing neurobiology into mathematics.

In Gödel’s Incompleteness Theorems, for every mathematical system there are correct statements that cannot be proven to be correct within that system. We here extend this to address the question of axiomatic statements that are perceived (or known) to be correct but which mathematics, as presently constituted, cannot prove. We refer to these as perceptual axioms. [ABSTRACT FROM AUTHOR]