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Bridging the Gap: Philosophy, Mathematics, and Physics

Lectures on the Foundations of Science

  • Book
  • © 1993

Overview

Editors:
  1. Giovanna Corsi

    1. Department of Philosophy, University of Florence, Italy

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  2. Maria Luisa Dalla Chiara

    1. Department of Philosophy, University of Florence, Italy

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    You can also search for this editor in PubMed   Google Scholar

  3. Gian Carlo Ghirardi

    1. Department of Theoretical Physics, University of Trieste, Italy

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Part of the book series: Boston Studies in the Philosophy and History of Science (BSPS, volume 140)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xi
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  2. Logic, Mathematics and Information

    1. Front Matter

      Pages 1-1
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    2. Theory of Deduction

      • Carlo Cellucci
      Pages 3-37

    3. An Introduction to Modal Semantics

      • Fabio Bellissima
      Pages 39-69

    4. Complexity of Logical Decision Problems: An Introduction

      • Egon Börger
      Pages 71-86

    5. Remarks on Hilbert’s Program for the Foundation of Mathematics

      • Dag Prawitz
      Pages 87-98

    6. Working Foundations - ’ 91

      • Solomon Feferman
      Pages 99-124

    7. Minds and Brains, Algorithms and Machines

      • K. Tahir Shah
      Pages 125-139

    8. Remarks on Information and Mind

      • Giuseppe Longo
      Pages 141-146

  3. Physics and Probability

    1. Front Matter

      Pages 147-147
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    2. Axioms and Paradoxes in Special Relativity

      • Paolo Budinich
      Pages 149-173

    3. The Quantum Worldview: Its Difficulties and an Attempt to Overcome Them

      • Gian Carlo Ghirardi
      Pages 175-197

    4. Indeterminism, Nonseparability and the Einstein-Podolsky - Rosen Paradox

      • Tullio Weber
      Pages 199-209

    5. Sigma-Convex Structures of The Sets of States and Probability Measures in Quantum Mechanics

      • Gianni Cassinelli, Pekka J. Lahti
      Pages 211-224

    6. The ‘Logical’ Approach to Axiomatic Quantum Theory

      • Gianpiero Cattaneo
      Pages 225-260

    7. Individuals, Kinds and Names in Physics

      • M. L. Dalla Chiara, G. Toraldo Di Francia
      Pages 261-283

    8. Symmetries of Probability Kinematics

      • Bas Van Fraassen
      Pages 285-314

  4. Back Matter

    Pages 315-329
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Keywords

About this book

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 foundation 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.

Editors and Affiliations

  • Department of Philosophy, University of Florence, Italy

    Giovanna Corsi, Maria Luisa Dalla Chiara

  • Department of Theoretical Physics, University of Trieste, Italy

    Gian Carlo Ghirardi

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