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© 1975

The Logico-Algebraic Approach to Quantum Mechanics

Volume I: Historical Evolution

  • C. A. Hooker

Part of the The University of Western Ontario Series in Philosophy of Science book series (WONS, volume 5a)

Table of contents

  1. Front Matter
    Pages I-XV
  2. Garrett Birkhoff, John Von Neumann
    Pages 1-26
  3. Hilary Putnam
    Pages 99-107
  4. Andrew M. Gleason
    Pages 123-133
  5. David J. Foulis
    Pages 141-148
  6. Neal Zierler, Michael Schlessinger
    Pages 247-262
  7. Simon Kochen, E. P. Specker
    Pages 263-276
  8. Simon Kochen, E. P. Specker
    Pages 277-292
  9. Simon Kochen, E. P. Specker
    Pages 293-328
  10. Patrick Suppes
    Pages 329-340

About this book

Introduction

The twentieth century has witnessed a striking transformation in the un­ derstanding of the theories of mathematical physics. There has emerged clearly the idea that physical theories are significantly characterized by their abstract mathematical structure. This is in opposition to the tradi­ tional opinion that one should look to the specific applications of a theory in order to understand it. One might with reason now espouse the view that to understand the deeper character of a theory one must know its abstract structure and understand the significance of that struc­ ture, while to understand how a theory might be modified in light of its experimental inadequacies one must be intimately acquainted with how it is applied. Quantum theory itself has gone through a development this century which illustrates strikingly the shifting perspective. From a collection of intuitive physical maneuvers under Bohr, through a formative stage in which the mathematical framework was bifurcated (between Schrödinger and Heisenberg) to an elegant culmination in von Neumann's Hilbert space formulation the elementary theory moved, flanked even at the later stage by the ill-understood formalisms for the relativistic version and for the field-theoretic altemative; after that we have a gradual, but constant, elaboration of all these quantal theories as abstract mathematical struc­ tures (their point of departure being von Neumann's formalism) until at the present time theoretical work is heavily preoccupied with the manip­ ulation of purely abstract structures.

Keywords

physical theory probability proposition quantum mechanics quantum physics

Editors and affiliations

  • C. A. Hooker
    • 1
  1. 1.University of Western OntarioOntarioCanada

Bibliographic information

  • Book Title The Logico-Algebraic Approach to Quantum Mechanics
  • Book Subtitle Volume I: Historical Evolution
  • Editors C.A. Hooker
  • Series Title The University of Western Ontario Series in Philosophy of Science
  • DOI https://doi.org/10.1007/978-94-010-1795-4
  • Copyright Information Springer Science+Business Media B.V. 1975
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-90-277-0567-9
  • Softcover ISBN 978-90-277-0613-3
  • eBook ISBN 978-94-010-1795-4
  • Series ISSN 1566-659X
  • Edition Number 1
  • Number of Pages , 622
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Philosophy of Science
  • Buy this book on publisher's site