Great points, especially the one on multiple perspectives. If you haven't read it already I highly recommend Thurston's essay "On proofs and progress in mathem

Great points, especially the one on multiple perspectives. If you haven't read it already I highly recommend Thurston's essay "On proofs and progress in mathematics" - http://arxiv.org/abs/math/9404236 http://arxiv.org/abs/math/9404236 .