Bridging the Gap: Philosophy, Mathematics, and Physics Philosophy, Mathematics, and Physics : Lectures on the Foundations of Science

Part I: Logic, Mathematics and Information. Theory of Deduction; C. Cellucci. An Introduction to Modal Semantics; F. Bellissima. Complexity of Logical Decision Problems: An Introduction; E. Börger. Remarks on Hilbert's Program for the Foundation of Mathematics; D. Prawitz. Working Foundations; S. Feferman. Minds and Brains, Algorithms and Machines; K. Tahir Shah. Remarks on Information and Mind; G. Longo. Part II: Physics and Probability. Axioms and Paradoxes in Special Relativity; P. Budinicii. The Quantum Worldview: Its Difficulties and An Attempt to Overcome Them; G.C. Ghirardi. Indeterminism, Nonseparability and the Einstein-Podolsky-Rosen Paradox; T. Weber. Sigma-Convex Structures of the Sets of States and Probability Measures in Quantum Mechanics; G. Cassinelli, P.J. Lahti. The `Logical' Approach to Quantum Theory; G. Cattaneo. Individuals, Kinds and Names in Physics; M.L. Dalla Chiara, G.T. Di Francia. Symmetries of Probability Kinematics; B. van Fraassen.