The course offers a general introduction into some of the major problems of contemporary analytic metaphysics. Metaphysics is a study of the most general categories in order to answer the question: what are the ultimate constituents of reality. In the course we’ll be addressing the following problems. What are properties and how are they related to objects? Under what conditions can a particular object retain its identity? What holds together the totality of particulars in order to constitute one universe, and what explains their changes? Do other universes than the actual exist? Do the past and the future exist and how is it possible for a thing to change? How are thoughts and feelings related to the physical reality? Can agents be free if the world is deterministic?