Title: Bridging the gap : philosophy, mathematics, and physics : lectures on the foundations of science /
Authors: Corsi, Giovanna.; Dalla Chiara, Maria Luisa, 1938-; Ghirardi, G. C.
Publisher: Kluwer Academic,
Year: 1992
Subjects: Science Philosophy
Abstract: "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 worldview compatible with a macroobjectivistic position and based on the quantum picture of the world? What account can be given of opinion change in the light of new evidence?" "These are some of the questions discussed in this volume, which collects 14 lectures on the foundations of science given at the School of Philosophy of Science, Trieste, October 1989. The volume will be of particular interest to any student or scholar engaged in interdisciplinary research into the foundations of science in the context of contemporary debates."--BOOK JACKET.
Contents: Pt. I. Logic, Mathematics and Information. Theory of Deduction / Carlo Cellucci. An Introduction to Modal Semantics / Fabio Bellissima. Complexity of Logical Decision Problems: An Introduction / Egon Borger. Remarks on Hilbert's Program for the Foundation of Mathematics / Dag Prawitz. Working Foundations -- '91 / Solomon Feferman. Minds and Brains, Algorithms and Machines / K. Tahir Shah. Remarks on Information and Mind / Giuseppe Longo -- Pt. II. Physics and Probability. Axioms and Paradoxes in Special Relativity / Paolo Budinich. The Quantum Worldview: Its Difficulties and An Attempt To Overcome Them / Gian Carlo Ghirardi. Indeterminism, Nonseparability and the Einstein-Podolsky-Rosen Paradox / Tullio Weber. Sigma-Convex Structures of the Sets of States and Probability Measures in Quantum Mechanics / Gianni Cassinelli and Pekka J. Lahti. The 'Logical' Approach to Axiomatic Quantum Theory / Gianpiero Cattaneo.