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What Logics Mean
From Proof Theory to Model-Theoretic Semantics


  • Date Published: November 2013
  • availability: Available
  • format: Hardback
  • isbn: 9781107039100

£ 62.00

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About the Authors
  • What do the rules of logic say about the meanings of the symbols they govern? In this book, James W. Garson examines the inferential behaviour of logical connectives (such as 'and', 'or', 'not' and 'if … then'), whose behaviour is defined by strict rules, and proves definitive results concerning exactly what those rules express about connective truth conditions. He explores the ways in which, depending on circumstances, a system of rules may provide no interpretation of a connective at all, or the interpretation we ordinarily expect for it, or an unfamiliar or novel interpretation. He also shows how the novel interpretations thus generated may be used to help analyse philosophical problems such as vagueness and the open future. His book will be valuable for graduates and specialists in logic, philosophy of logic, and philosophy of language.

    • This book explains how the meanings of the symbols of logic are determined by the rules that govern them
    • Offers novel interpretations which may be applied to the analysis of philosophical problems, notably to the problems of vagueness and future contingency
    • Includes demonstrations of theorems throughout the book
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    Product details

    • Date Published: November 2013
    • format: Hardback
    • isbn: 9781107039100
    • length: 302 pages
    • dimensions: 244 x 170 x 17 mm
    • weight: 0.7kg
    • availability: Available
  • Table of Contents

    1. Introduction to model-theoretic inferentialism
    2. Deductive expression
    3. Local expression
    4. Global expression
    5. Intuitionistic semantics
    6. Conditionals
    7. Disjunction
    8. Negation
    9. Supervaluations and natural semantics
    10. Natural semantics for an open future
    11. The expressive power of sequent calculi
    12. Soundness and completeness for natural semantics
    13. Connections with proof-theoretic semantics
    14. Quantifiers
    15. Natural semantics and vagueness
    16. Modal logic

  • Author

    James W. Garson, University of Houston
    James W. Garson is Professor of Philosophy at the University of Houston. He is the author of Modal Logic for Philosophers, 2nd edition (Cambridge University Press, 2013).

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