UID:
almahu_9947367686502882
Umfang:
1 online resource (691 p.)
Ausgabe:
1st ed.
ISBN:
1-281-02897-5
,
9786611028978
,
0-08-054939-X
Serie:
Handbook of the history of logic ; v. 8
Inhalt:
The present volume of the Handbook of the History of Logic brings together two of the most important developments in 20th century non-classical logic. These are many-valuedness and non-monotonicity. On the one approach, in deference to vagueness, temporal or quantum indeterminacy or reference-failure, sentences that are classically non-bivalent are allowed as inputs and outputs to consequence relations. Many-valued, dialetheic, fuzzy and quantum logics are, among other things, principled attempts to regulate the flow-through of sentences that are neither true nor false. On the second, or non-m
Anmerkung:
Description based upon print version of record.
,
Front Cover; Handbook of the History of Logic; Copyright Page; Table of Contents; Preface; List of Authors; Chapter 1 Many-valued Logic and its Philosophy; INTRODUCTION; 1 WAYS OF MANY VALUES; 2 THE THREE-VALUED ŁUKASIEWICZ LOGIC; 3 THREE-VALUED LOGICS OF KLEENE AND BOCHVAR; 4 LOGIC ALGEBRAS, MATRICES AND STRUCTURALITY; 5 POST LOGICS; 6 ŁUKASIEWICZ LOGICS; 7 STANDARD AXIOMATIZATION; 8 BACKGROUND TO PROOF THEORY; 9 QUANTIFIERS IN MANY-VALUED LOGIC; 10 INTUITIONISM AND GÖDEL'S MATRICES; 11 ON BIVALENT DESCRIPTIONS; 12 INTERPRETATION AND JUSTIFICATION; 13 MODES OF MANY-VALUEDNESS
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14 FUZZY SETS AND FUZZY LOGICS15 RECENT DEVELOPMENTS; 16 APPLICATIONS; BIBLIOGRAPHY; Chapter 2 Preservationism: A Short History; 1 SOME OBSERVATIONS ABOUT THE CLASSICAL VIEW OF CONSEQUENCE; 2 ORIGIN MYTH; BIBLIOGRAPHY; Chapter 3 Paraconsistency and Dialetheism; 1 INTRODUCTION; 2 PARACONSISTENT LOGIC IN HISTORY; 3 DIALETHEISM IN HISTORY; 4 MODERN PARACONSISTENCY; 5 MODERN DIALETHEISM; 6 THE FOUNDATIONS OF MATHEMATICS; 7 NEGATION; 8 RATIONALITY; BIBLIOGRAPHY; Chapter 4 The History of Quantum Logic; 1 THE BIRTH OF QUANTUM LOGIC: BIRKHOFF AND VON NEUMANN
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2 THE RENAISSANCE OF THE QUANTUM LOGICAL APPROACHES TO QUANTUM THEORY3 IS QUANTUM LOGIC A "VERITABLE" LOGIC?; 4 INDETERMINISM AND FUZZINESS: THE UNSHARP APPROACHES TO QT; 5 THE DISCUSSION ABOUT THE EMPIRICAL NATURE OF LOGIC; 6 MATHEMATICAL APPENDIX; BIBLIOGRAPHY; Chapter 5 Logics of Vagueness; 1 VAGUENESS AND THE SORITES PUZZLE; 2 STOICISM AND THE EPISTEMIC THEORY; 3 FREGE, RUSSELL AND THE IDEAL LANGUAGE; 4 THE "TRIUMPH" OF THE DIALECTIC; 5 SUPERVALUATIONISM; 6 MANY-VALUED AND FUZZY LOGICS; 7 CONTEXTUALISM; 8 HIGHER-ORDER VAGUENESS; BIBLIOGRAPHY
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Chapter 6 Fuzzy-set Based Logics - An History-oriented Presentation of their Main Developments1 INTRODUCTION: A HISTORICAL PERSPECTIVE; 2 A GENERAL THEORY OF APPROXIMATE REASONING; 3 MANY VALUED LOGICAL SYSTEMS BASED ON FUZZY SET CONNECTIVES; 4 FUZZY SET-BASED LOGICAL HANDLING OF UNCERTAINTY AND SIMILARITY; 5 CONCLUSION; BIBLIOGRAPHY; Chapter 7 Nonmonotonic Logics: A Preferential Approach; 1 INTRODUCTION; 2 BASIC DEFINITIONS, RESULTS, AND DISCUSSION; 3 ADVANCED TOPICS; ACKNOWLEDGEMENTS; BIBLIOGRAPHY; Chapter 8 Default Logic; 1 INTRODUCTION: DEFAULT REASONING; 2 DEFAULT LOGIC
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3 VARIANTS OF DEFAULT LOGIC4 DEFAULT REASONING WITH PREFERENCE; 5 PRIORITIZED LOGIC PROGRAMS; 6 CONCLUSION; BIBLIOGRAPHY; Chapter 9 Nonmonotonic Reasoning; 1 WHAT IS NONMONOTONIC REASONING; 2 PRE-HISTORY: PROBLEMS AND FIRST SOLUTIONS; 3 COMING OF AGE; 4 PREFERENTIAL NONMONOTONIC REASONING; 5 EXPLANATORY NONMONOTONIC REASONING; 6 CONCLUSIONS; BIBLIOGRAPHY; Chapter 10 Free Logics; 1 INTRODUCTION; 2 FORMAL SYSTEMS; 3 SEMANTIC APPROACHES; 4 ROOTS AND FRUITS: DESCRIPTIONS AND PRESUPPOSITIONS; 5 FREE LOGIC AND INTENSIONAL LOGICS; ACKNOWLEDGEMENT; BIBLIOGRAPHY; Index
,
English
Weitere Ausg.:
ISBN 0-444-51623-9
Sprache:
Englisch
