The Pigeonhole Principle is a really simple concept, discovered all the way back in the 1800s. It has explained everything from the amount of hair on people’s heads to fundamental principles of ...

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 ...

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 ...

Annals of Mathematics, a distinguished journal of research papers in pure mathematics, was founded in 1884. Annals of Mathematics is published bimonthly with the cooperation of Princeton University ...