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 ...
What is mathematics? We attempt to comprehend, but the definitions unfortunately further confound. They frustrate by glancing off the edges of a subject as infinite and indefinable as the discipline ...
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 ...