CEVAP:

The main difference has to do with how knowledge is constructed and the types of propositions used in the process.

In empirical sciences, the purpose is construction of empirically grounded theories; hence, one needs to check the propositions and any other knowledge claim against the empirical world (the world of experiences or the experience in the world).

However, formal sciences are based on purely logic; their conclusions are deduced from premises that are in the form of a priori analytic propositions.