A historically and philosophically informed approach to mathematical metaphors

Abstract

This text discusses mathematical metaphor as a basis for analyzing the formation of mathematical knowledge. It reflects on the work of Lakoff and Núñez as a reference point against which to rearticulate a richer notion of mathematical metaphor that can account for actual mathematical evolution. To reach its goal this paper analyzes historical case studies, draws on cognitive research, and applies lessons drawn from the history of metaphors in philosophy as analyzed by Derrida and de Man.