What is a paradox? Historically, many paradoxes have puzzled logicians, philosophers and mathematicians alike and contributed to advancement in different fields. Famous and interesting paradoxes in logic and philosophy will be introduced, along with some tools and background material to resolve them. Familiarity with proofs, analytic philosophy, or boolean logic is a big plus. There is no set prerequisite in the course, but I'll presuppose mathematical maturity at the level of high-school geometry. (This does not mean you need to know geometry.) [Possible topics] - Introduction to inductive logic and analytical philosophy - Prisoner's Dilemma - Paradox of the Heap - Expectation - Knowledge/Surprise - Raven's Paradox - Liar's Paradox - Sense and Reference - Presuppositions *** Caveat: Note that the course is not about open-ended debates about God, universe, religion, politics. Such varieties are fun as well, but we will stick to issues that yield themselves to somewhat more rigorous treatment. You'll not be "writing" any essays, but rather "constructing" proof-like arguments.

What is a paradox? Historically, many paradoxes have puzzled logicians, philosophers and mathematicians alike and contributed to advancement in different ...