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Author Kürbis, Nils, author

Title Proof and falsity : a logical investigation / Nils Kürbis, University College London
Published Cambridge ; New York, NY : Cambridge University Press, 2019
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Description 1 online resource (viii, 308 pages) : digital, PDF file(s)
Contents Cover; Half-title page; Title page; Copyright page; Contents; Acknowledgements; Introduction; 1 Meaning; 1.1 Meaning, Use and Logic; 1.2 Linguistic Knowledge; 1.3 Truths and Rules of Logic; 1.4 Definitions; 1.5 The Theory of Meaning; 1.6 Realism and Anti-Realism; 2 Logic; 2.1 Logical Constants; 2.2 Gentzen's Natural Deduction; 2.3 Molecularity and Complexity of Rules; 2.4 Dissonance; 2.5 Gentzen's Thesis and Three Kinds of Harmony; 2.6 Two Inversion Principles; 2.7 Grounds and Consequences Again; 2.8 Stability and Harmony Defined; 2.9 Loose Ends; 2.10 Formalities; 3 Negation; 3.1 Introduction
3.2 Tertium Non Datur3.3 The Rules of Classical Logic; 3.4 Ex Falso Quodlibet; 3.5 Final Remarks on Dummett on ⊥; 3.6 Conclusion; 4 Nothing; 4.1 The Problem of Negation; 4.2 Primitive Incompatibility; 4.3 The Epistemology and Metaphysics of Negation; 4.4 Concluding Reflections; 5 Not; 5.1 Primitive Negation; 5.2 Against Primitive Negation; 5.3 Conclusion; 6 No; 6.1 Primitive Denial; 6.2 Formal Bilateralism; 6.3 Informal Bilateralism; 6.4 Conclusion; 7 Falsity; 7.1 Primitive Falsity; 7.2 Truth, Falsity and Negation in the Metalanguage; 7.3 The Intuitionist Route; 7.4 The Bi-Intuitionist Route
7.5 The Classicist Route7.6 Conclusion; Bibliography; Index
Summary This book argues that the meaning of negation, perhaps the most important logical constant, cannot be defined within the framework of the most comprehensive theory of proof-theoretic semantics, as formulated in the influential work of Michael Dummett and Dag Prawitz. Nils Kürbis examines three approaches that have attempted to solve the problem - defining negation in terms of metaphysical incompatibility; treating negation as an undefinable primitive; and defining negation in terms of a speech act of denial - and concludes that they cannot adequately do so. He argues that whereas proof-theoretic semantics usually only appeals to a notion of truth, it also needs to appeal to a notion of falsity, and proposes a system of natural deduction in which both are incorporated. Offering new perspectives on negation, denial and falsity, his book will be important for readers working on logic, metaphysics and the philosophy of language
Bibliography Includes bibliographical references and index
Subject Language and languages -- Philosophy
Logic -- Philosophy
Metaphysics
Negation (Logic)
Truthfulness and falsehood
Language and languages -- Philosophy.
Metaphysics.
Negation (Logic)
PHILOSOPHY / Logic.
Truthfulness and falsehood.
Form Electronic book
ISBN 1108481302
1108625177
1108686796 electronic book
9781108481304
9781108625173
9781108686792 electronic book
hardcover
paperback