On Non-literal Approaches

Abstract

This chapter discusses in detail the idea that mathematical beauty should be reinterpreted to preserve mathematics’ stand among the sciences. Three reasons to reinterpret mathematical beauty are examined; the two cultures split, the epistemic character of mathematics, and its rational character. It shall be argued that the reasons for endorsing a non literal interpretation of mathematical beauty are rather weak. The discussion also examines the conceptions of mathematical beauty by Shaftesbury, Hutchenson and Gian-Carlo Rota.