Apriorism

pp. 145-155

in: Colin Cheyne, Knowledge, cause, and abstract objects, Berlin, Springer, 2001

Abstract

There is a long tradition of regarding mathematical knowledge as a priori knowledge. But most detailed accounts in this tradition are not overtly platonistic and many are clearly not. In this chapter I examine three recent accounts that explicitly combine the claims that mathematical objects are platonic and that we can know a priori that they exist.