IN every particular Theory of Nature there can J. only be so much real Science as is vouched for by Mathematics.” Since Kant wrote these words it has become increasingly true that mathematics is an ...

In this book, published by Cambridge University Press, 1996, Hintikka argues that several fundamental concepts in the philosophy of mathematics should be revised. Hintikka replaces the ordinary ...

Reverse mathematics is a vibrant programme in mathematical logic that investigates the axioms necessary to establish fundamental theorems throughout mathematics. Central to this endeavour are ...