Abstract

Within the framework of Neurological Positivism this article describes how brain algorithms are translated into mathematics in ontogeny and in culture. The purpose is to address seemingly contradictory research findings that suggest that while mathematical axioms are innate, they are not the direct result of processes of selection. It is proposed that self-referencing feedback processes of maximum-power evolution guide the construction of algorithmic isomorphies between preadapted brain algorithms and mathematics. It is concluded that maximum-power evolution as described in NP offers mechanisms that make sense of findings that suggest that mathematical axioms are innate, yet not directly the result of selection as traditionally understood. It is concluded also that these mechanisms provide insight into the often intuitive nature of mathematical discovery