After attending the course, the students have a global view of the problems we encounter in physics and mathematical logic, and how these problems are tied up to general philosophical issues.
Course Content (Syllabus)
Nature and the ancient Greek thought. The Ionians philosophers and the atomists. Platonic Timaios. Mathematics, Logic and Science. The program of Russel and Frege. The dispute between Hilbert and Brouwer. Measuring the infinity with Cantor. Godel's theorem. The limits of knowledge. Quantum Mechanics. The uncertainty principle and the coupling subject-object. Bell's inequalities. Quantum Logic, Physics,Metaphysics and Ontology. The anglosaxon epistemology (Popper, Kuhn, Feyerabend). Unity and diversity in nature. The search of meaning and the late Wittgenstein.