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  • 1975-1979  (3)
  • Hooker, C. A.  (3)
  • Dordrecht : Springer  (3)
  • Bielefeld : transcript
  • London [u.a.] : Routledge
  • 1
    Online Resource
    Online Resource
    Dordrecht : Springer
    ISBN: 9789400997691
    Language: English
    Pages: Online-Ressource (351p) , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: The University of Western Ontario Series in Philosophy of Science 7
    Series Statement: The Western Ontario Series in Philosophy of Science, A Series of Books in Philosophy of Science, Methodology, Epistemology, Logic, History of Science, and Related Fields 7
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Philosophy (General) ; Science Philosophy ; Science—Philosophy.
    Abstract: Process Philosophy and Quantum Dynamics -- Formal Languages and the Foundations of Physics -- Is the Hilbert space language too rich? -- Generalized Quantum Mechanics -- Quantum Logic -- The Operational Approach to Quantum Mechanics -- Completeness of Quantum Logic -- Quantum Logical Calculi and Lattice Structures -- An Operational Approach to Quantum Probability -- Index of Names -- Index of Subjects.
    Abstract: In two earlier volumes, entitled The Logico-Algebraic Approach to Quan­ tum Mechanics (hereafter LAA I, II), I have presented collections of research papers which trace out the historical development and contem­ porary flowering of a particular approach to physical theory. One might characterise this approach as the extraction of an abstract logico-algebraic skeleton from each physical theory and the reconstruction of the physical theory as construction of mathematical and interpretive 'flesh' (e. g. , measures, operators, mappings etc. ) on this skeleton. The idea is to show how the specific features of a theory that are easily seen in application (e. g. , 'interference' among observables in quantum mechanics) arise out of the character of its core abstract structure. In this fashion both the deeper nature of a theory (e. g. , in what precise sense quantum mechanics is strongly statistical) and the deeper differences between theories (e. g. clas­ sical mechanics, though also a 'mechanics', is not strongly statistical) are penetratingly illuminated. What I would describe as the 'mainstream' logico-algebraic tradition is captured in these two collections of papers (LAA I, II). The abstract, structural approach to the characterisation of physical theory has been the basis of a striking transformation, in this century, in the understanding of theories in mathematical physics. There has emerged clearly the idea that physical theories are most significantly characterised by their abstract structural components.
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  • 2
    ISBN: 9789401014496
    Language: English
    Pages: Online-Ressource (747p) , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: Boston Studies in the Philosophy of Science 32
    Series Statement: Boston Studies in the Philosophy and History of Science 32
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Philosophy (General) ; Science Philosophy ; Science—Philosophy.
    Abstract: Symposium: the Unity of Science -- Unified Theories and Unified Science -- Thermodynamics, Statistical Mechanics and the Complexity of Reductions -- Theory Generalization, Problem Reduction and the Unity of Science -- Contributed Papers: Session I -- Galileo and Reasoning Ex Suppositione: The Methodology of the Two New Sciences -- The Erkenntnistheoretiker’s Dilemma: J.B. Stallo’s Attack on Atomism in his Concepts and Theories of Modern Physics (1881) -- Symposium: Genetics, IQ and Education -- Fictionalism, Functionalism and Factor Analysis -- IQ, Heritability, and Human Nature -- The IQ Controversy and the Philosophy of Education -- Contributed Papers: Session II -- Evolutionary Rationality -- Laws and Meaning Postulates (in van Fraassen’s View of Theories) -- Meaning in Science and Mathematics -- Observationality and the Comparability of Theories -- Symposium: Science Education and the Philosophy of Science -- The Relevance of Philosophy of Science for Science Education -- Metaphorical Models of Mastery: Or, How to Learn to Do the Problems at the End of the Chapter of the Physics Textbook -- Philosophy of Science, History of Science, and Science Education -- Contributed Papers: Session III -- Causes and Deductive Explanation -- On Defending the Covering-Law ‘Model’ Comment: -- Dispositional Explanation and the Covering-Law Model: Response to Laird Addis -- The Likeness of Lawlikeness -- TWO Forms of Determinism -- The Conventionality of Slow-Transport Synchrony -- Symposium: Technology Assessment -- The Bicentenary of Technology Assessment -- Assurance and Agnosticism -- Technology Assessment as a Critique of a Civilization -- Symposium: Velikovsky and the Politics of Science -- The Domination of Astronomy Over Other Disciplines -- Some Comments on Velikovsky’s Methodology -- Velikovsky Versus Academic Lag (The Problem of Hypothesis) -- Symposium: Quantum Logic -- Quantum Logic -- The ‘Logic’ of ‘Quantum Logic’ -- Contributed Papers: Session IV -- Integrating the Philosophy and the Social Psychology of Science, or a Plague on Two Houses Divided -- The Illusions of Experience -- Symposium: Development of the Philosophy of Science -- Some Current Trends in Philosophy of Science: With Special Attention to Confirmation, Theoretical Entities, and Mind-Body -- History and Philosophy of Science: A Marriage of Convenience? -- Philosophy of Language and Philosophy of Science -- Symposium: History and Philosophy of Biology -- Reductionism in Biology: Prospects and Problems -- Reduction in Genetics -- Informal Aspects of Theory Reduction -- Reductive Explanation: A Functional Account -- Contributed Papers: Session V -- How Do We Apply Science? -- What Is The Logical Interpretation Of Quantum Mechanics? -- Index of Names.
    Abstract: For this book, we have selected papers from symposia and contributed sessions at the fourth biennial meeting of the Philosophy of Science Association, held at the University of Notre Dame on November 1-3, 1974. The meeting was lively and well-attended, and we regret that there was no way to record here the many stimulating discussions after the papers and during the informal hours. We also regret that we had in­ sufficient space for all the contributed papers. Even more, some of the symposia were not available: those on systems and decision theory (c. W. Churchman, P. Suppes, I. Levi), and on the Marxist philosophy of science (M. W. Wartofsky, R. S. Cohen, E. N. Hiebert). Unhappily several individual contributions to other symposia were likewise not available: I. Velikovsky in the session on his own work and the politics of science, D. Finkelstein in the session on quantum logic. Memorial minutes were read for Alan Ross Anderson (prepared by Nuel Belnap) and for Imre Lakatos (prepared by Paul Feyerabend). They initiate this volume of philosophy of science in the mid-seventies.
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  • 3
    ISBN: 9789401017954
    Language: English
    Pages: Online-Ressource (622p) , digital
    Edition: Springer eBook Collection. Humanities, Social Sciences and Law
    Series Statement: The University of Western Ontario Series in Philosophy of Science, A Series of Books on Philosophy of Science, Methodology, and Epistemology Published in Connection with the University of Western Ontario Philosophy of Science Programme 5a
    Series Statement: The Western Ontario Series in Philosophy of Science, A Series of Books in Philosophy of Science, Methodology, Epistemology, Logic, History of Science, and Related Fields 5a
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Parallel Title: Erscheint auch als
    Keywords: Philosophy (General) ; Science Philosophy ; Science—Philosophy.
    Abstract: The Logic of Quantum Mechanics (1936) -- The Logic of Complementarity and the Foundation of Quantum Theory (1972) -- Mathematics as Logical Syntax — A Method to Formalize the Language of a Physical Theory (1937–38) -- Three-Valued Logic and the Interpretation of Quantum Mechanics (1944) -- Three-Valued Logic (1957) -- Reichenbach’s Interpretation of Quantum Mechanics (1958) -- Measures on the Closed Subspaces of a Hilbert Space (1957) -- The Logic of Propositions Which are not Simultaneously Decidable (1960) -- Baer *-Semigroups (1960) -- Axioms for Non-Relativistic Quantum Mechanics (1961) -- Probability in Physics and a Theorem on Simultaneous Observability (1962) -- Semantic Representation of the Probability of Formulas in Formalized Theories (1963) -- The Structure of the Propositional Calculus of a Physical Theory (1964) -- Boolean Embeddings of Orthomodular Sets and Quantum Logic (1965) -- Logical Structures Arising in Quantum Theory (1965) -- The Calculus of Partial Propositional Functions (1965) -- The Problem of Hidden Variables in Quantum Mechanics (1967) -- Logics Appropriate to Empirical Theories (1965) -- The Probabilistic Argument for a Non-Classical Logic of Quantum Mechanics (1966) -- Foundations of Quantum Mechanics (1967) -- Baer *-Semigroups and the Logic of Quantum Mechanics (1968) -- Semimodularity and the Logic of Quantum Mechanics (1968) -- On the Structure of Quantum Logic (1969) -- On the Structure of Quantal Proposition Systems (1969) -- The Current Interest in Orthomodular Lattices (1970) -- Integration Theory of Observables (1970) -- Probabilistic Formulation of Classical Mechanics (1970) -- Atomicity and Determinism in Boolean Systems (1971) -- Survey of General Quantum Physics (1972) -- Quantum Logics (1974) -- The Labyrinth of Quantum Logics (1974).
    Abstract: 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.
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