Does Science Have to be Falsifiable?

It all depends on one's definition of "science," which has in large part been neglected by scientists and philosophers of science.  Science comes from the Latin term, scientia, which refers to knowledge.  On such a definition, not all science is falsifiable.  Take, for instance, the laws of logic or the existence of the thinking self.  Neither is falsifiable, but should they be included under the discipline of science?