An investigation of paradoxes and their philosophical relevance in areas such as vagueness, sets and properties, rational action, probabilistic and inductive reasoning.  The first half of the course will dealwith a collection of “classic” paradoxes mainly having to do with logic and semantics: the paradox of theheap (aka, the Sorites paradox), semantic paradoxes (such as the Liar Paradox, Grelling’s Paradox, and Yablo’s Paradox), Russell’s Paradox in set theory, and their proposed solutions. In the second half of the course we will look at paradoxes arising in other areas: inductive reasoning (Hempel’s Raven Paradox and Goodman’s Grue Paradox); conditional reasoning and epistemic paradoxes (such as the Surprise Examination Paradox); paradoxes of probabilistic reasoning (the Sleeping Beauty Problem); andparadoxes of decision theory (Newcomb’s Problem and the Two Envelope Paradox).