On Kants philosophic grammar of mathematics

pp. 155-174

in: Edward Ballard, Philosophy and the liberal arts, Berlin, Springer, 1989

Abstract

Descartes’ failure fully to develop the philosophical aspect of the mathematical language; Descartes had shown by means of his doctrine of matter with its primary qualities that mathematics applied to extension (matter) but not how, (to meet this need, Kant elaborated a metaphysics of experience to replace Descartes’ dualism);