PHILOSOPHY VII 1999 1. Opening WHAT IS THE EPISTEMOLOGICAL STATUS OF OUR KNOWledge of the truths of arithmetic? Are they analytic, the products of pure reason, as Leibniz held? Or are they high-level empirical truths that we know only a posteriori, as some empiricists, particularly Mill, have held? Or was Kant right to say that, although our knowledge that ‘5+7=12’ depends essentially upon intu...