Bridging the Gap: Philosophy, Mathematics, and Physics Lectures on t
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 `mal
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		    BOSTON STUDIES IN THE PHILOSOPHY OF SCIENCE
 
 Editor ROBERT S. COHEN, Boston University
 
 Editorial Advisory Board THOMAS F. GLICK, Boston University ADOLF GRUNBAUM, University of Pittsburgh SAHOTRA SARKAR, Boston University SYLVAN S. SCHWEBER, Brandeis University JOHN J. STACHEL, Boston University MARX W. WARTOFSKY, Baruch College of
 
 the City University of New York
 
 VOLUME 140
 
 BRIDGING THE GAP PHILOSOPHY, MATHEMATICS, AND PHYSICS
 
 Lectures on the Foundations of Science
 
 Edited by GIOVANNA CORSI Department of Philosophy. University of Florence. Italy MARIA LUISA DALLA CHIARA Department of Philosophy. University of Florence. Italy and
 
 GIAN CARLO GHIRARDI Department of Theoretical Physics. University of Trieste. Italy
 
 KLUWER ACADEMIC PUBLISHERS DORDRECHT / BOSTON / LONDON
 
 Library of Congress Cataloging-in-Publication Data Bridging the gap: pn1losophy. mathematics. and physics: lectures on the foundations of sCience! edited by Giovanna Corsi. Maria LUisa Dalla Chiara. Gian Carlo Ghirardi. p. cm. -- (Boston studies in the philosophy of SClence ; v. 140) Includes bibliographical references. ISBN 0-7923-1761-0 (HB : aCid-free paper) 1. Science--Phi losophy. I. Corsi. Giovanna. II. Dalla Chiara. Marla Luisa. III. Ghirardl. G. C. IV. Series. 0175.87854 1992 501--oc2G
 
 92-12617
 
 ISBN 0-7923-1761-0
 
 Published by Kluwer Academic Publishers, P.O. Box 17,3300 AA Dordrecht, The Netherlands. Kluwer Academic Publishers incorporates the publishing programmes of D. Reidel, Martinus Nijhoff, Dr W. Junk and MTP Press. Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, 101 Philip Drive, Norwell, MA 02061, U.S.A. In all other countries, sold and distributed by Kluwer Academic Publishers Group, P.O. Box 322, 3300 AH Dordrecht, The Netherlands.
 
 All Rights Reserved
 
 © 1993 Kluwer Academic Publishers
 
 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner.
 
 TABLE OF CONTENTS vii
 
 PREFACE
 
 xi
 
 ACKNOWLEDGEMENTS
 
 PART I: LOGIC, MATHEMATICS AND INFORMATION
 
 CARLO CELLUCCI I Theory of Deduction FABIO BELLISSIMA I An Introduction to Modal Semantics EGON BORGER I Complexity of Logical Decision Problems: An Introduction DAG PRAWITZ I Remarks on Hilbert's Program for the Foundation of Mathematics SOLOMON FEFERMAN I Working Foundations - '91 K. TAlllR SHAH I Minds and Brains, Algorithms and Machines GIUSEPPE LONGO I Remarks on Information and Mind
 
 3 39
 
 71 87 99
 
 125 141
 
 PART II: PHYSICS AND PROBABILITY
 
 PAOLO BUDINICH I Axioms and Paradoxes in Special Relativity
 
 GIAN CARLO GHIRARDI / The Quantum Worldview: Its Difficulties and An Attempt To Overcome Them
 
 TULLIO WEBER I Indeterminism, Nonseparability and the Einstein-Podolsky-Rosen Paradox GIANNI CASSINELLI and PEKKA J. LAHTI I Sigma-Convex Structures of the Sets of States and Probability Measures in Quantum Mechanics GIANPIERO CATIANEO I T		
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