With a Philosophical Eye: The role of mathematical beauty in Kant's intellectual development

Abstract

This paper shows that Kant's investigation into mathematical purposiveness was central to the development of his understanding of synthetic a priori knowledge. Specifically, it provides a clear historical explanation as to why Kant points to mathematics as an exemplary case of the synthetic a priori, argues that his early analysis of mathematical purposiveness provides a clue to the metaphysical context and motives from which his understanding of synthetic a-priori knowledge emerged, and provides an analysis of the underlying structure of mathematical purposiveness itself, which can be described as unintentional, but also as objective and unlimited. © 2014 Canadian Journal of Philosophy.