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

ISBN-13: 9780792317616 / Angielski / Twarda / 1992 / 348 str.

Giovanna Corsi; Maria Luisa Dalla Chiara; Gian Carlo Ghirardi

Opis

Foundational questions in logic, mathematics, computer science and physics are constant sources of epistemological debate in contemporary philosophy. To what extent is the transfinite part of mathematics completely trustworthy? Why is there a general malaise concerning the logical approach to the foundations of mathematics? What is the role of symmetry in physics? Is it possible to build a coherent worldwiew compatible with a macro-objectivistic position and based on the quantum picture of the world? What account can be given of opinion change in the light of new evidence?

Spis treści

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.