Lakatos was a great philosopher of science, while Feyerabend is a gadfly. His "Proofs and Refutations" doesn't really hold up -- once mathematics reached the m

Lakatos was a great philosopher of science, while Feyerabend is a gadfly. His "Proofs and Refutations" doesn't really hold up -- once mathematics reached the modern standard of rigor the process he described stopped -- but his notion of progressive versus degenerating research programs is very powerful.