On preserving essays on preservationism and paraconsistent logic

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Veröffentlicht: Toronto [u.a.] Univ. of Toronto Press 2009
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Datensatz im Suchindex

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adam_text ACKNOWLEDGMENTS CONTENTS IX 1 INTRODUCTION TO THE ESSAYS PETER SCHOTCH 3 1.1 THE ORIGINS OF PRESERVATIONISM . . . . . . . . . . . .. 3 1.2 HOW PARAEONSISTENT INFERENEE FELL OUT OF MODAL SEMANTICS 7 1.3 THE CONEEPT OF LEVEL 11 1.4 PRESERVATION 11 1.5 THE ESSAYS . . . . . . 13 2 PARACONSISTENCY: WHO NEEDS IT? RAY JENNINGS AND PETER SCHOTCH . 2.1 INTRODUETION .. . . . . . . . . / 2.2 THE STRANGE CASE OF C.I. LEWIS 2.3 THE INEONSISTENEY OF BELIEF 2.4 INEONSISTENEY AND ETHIES . 2.5 SUMMING ~P . . . . . . . . . 17 17 20 23 27. 30 3 WEAKLY ADDITIVE AIGEBRAS AND A COMPLETENESS PROBLEM ALASDAIR URQUHART 33 3.1 INTRODUETION AND BRIEF HISTORY . 33 3.2 WEAKLY ADDITIVE OPERATORS .. 37 3.3 A FURTHER GENERALIZATION ... 40 3.4 DUALITY THEORY FOR WEAKLY ADDITIVE OPERATORS 41 V VI 4 A DUALIZATION OF NEIGHBOURHOOD STRUCTURES DORIAN NICHOLSON 4.1 INTRODUCTION . . . . . 4.2 HYPERFRAMES . . . . . 4.3 NORMAL HYPERFRAMES. 4.4 .WEAKLY AGGREGATIVE MODAL LOGIC . CONTENTS 49 49 50 54 57 5 POLYADIC M~ LOGICS AND THEIR MONADIC FRAGMENTS . KAM SING LEUNG AND R.E. JENNINGS 5.1 INTRODUCTION . 5.2 POLYADIC MODAL LANGUAGES AND MULTI-ARY RELATIONAL FRAMES . . 5.3 NORMAL POLYADIC MODAL LOGICS 5.4 FRAME DEFIN~BILITY . . . . . . . 5.5 SOUNDNESS AND COMPLETENESS . 5.6 DIAGONAL FRAGMENTS OF NORMAL POLYADIC MODAL LOGICS 6 PRESERVING WHAT? GILLMAN PAYETTE AND PETT:R SCHOTCH 6.1 INTRODUCTION . . ... . . . . . . . 6.2 MAKING A FEW THINGS PRECISE . . 6.3 WHAT S WRONG WITH THIS PICTURE? 6.4 SPEAK OF THE LEVEL . . . 6.5 LEVEL PRESERVATION . 6.6 YES, BUT IS IT INFERENCE? . . . . . 6.7 FORCING IN COMPARISON WITH OTHER LEVEL- PRESERVING RELATIONS . 7 PRESERVING LOGICAL STRUCTURE GILLMAN PAYETTE 7.1 INTRODUCTION 7.2 DEFINITIONS. . . 7.3 SUBSTITUTIONS . . 7.4 ALGEBRAIC CONCEMS 7.5 DENIALS... . . . . 7.6 FORCING AND PRESERVATIONISM . 61 61 64 67 73 75 81 85 85 88 92 93 96 101 103 105 105 108 118 121 125 127 CONTENTS 7.7 STRUCTURAL RULES AND CORRIPACTNESS 7.8 FIRST-ORDER LOGIC AND FORCING . 7.9 CONCLUSION ..... .. VLL 129 134 142 8 REPRESTMTATION OF FORCING , DORIAN NICHOLSON AND BRYSON BROWN 8.1 8:2 8.3 8.4 8.5 8.6 8.7 8.8 INTRODUCTION . , BACKGROUND - . REPRESENTATION . . . . . . . . THE REPRESENTATION THEOREM MORE DEFINITIONS AND MOTIVATION R[T-X SS R[LF-X SS ; THE REPRESENTATION OF FORCING . 145 145 146 148 151 152 156 158 158, 9 FORCING AND PRACTICAL INFERENCE PETER SCHOTCH 9.1 INTRODUCTION 9.2 DIRTY HANDS 9.3 L:-FORCING 9.4 A-FORCING 9.5 WRAP-UP . 10 AMBIGUITY GAMES AND PRESERVING AMBIGUITY MEASURES BRYSON BROWN 10.1 AMBIGUITY . . . . . . 10.2 THE LOGIC OF PARADOX 10.3 RESTORING SYMMETRY . 10.4 AMBIGUITY AND QUANTIFICATION 10.5 ECHOES OF SUPERVALUATION . . 10.6 FIRIAL REMARKS ON PRESERVATION NOMENCLATURE REFERENCES INDEX 161 161 164 165 170 172 175 175 177 180 186 187 188 189 195 199 VIII CONTRIBUTORS CONTENTS 203
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spellingShingle On preserving essays on preservationism and paraconsistent logic
Inconsistency (Logic)
Logic
Inconsistance (Logique)
Logique
Logik (DE-588)4036202-4 gnd
Inkonsistenz (DE-588)4226191-0 gnd
subject_GND (DE-588)4036202-4
(DE-588)4226191-0
(DE-588)4143413-4
title On preserving essays on preservationism and paraconsistent logic
title_auth On preserving essays on preservationism and paraconsistent logic
title_exact_search On preserving essays on preservationism and paraconsistent logic
title_full On preserving essays on preservationism and paraconsistent logic ed. by Peter Schotch, Bryson Brown, and Raymond Jennings
title_fullStr On preserving essays on preservationism and paraconsistent logic ed. by Peter Schotch, Bryson Brown, and Raymond Jennings
title_full_unstemmed On preserving essays on preservationism and paraconsistent logic ed. by Peter Schotch, Bryson Brown, and Raymond Jennings
title_short On preserving
title_sort on preserving essays on preservationism and paraconsistent logic
title_sub essays on preservationism and paraconsistent logic
topic Inconsistency (Logic)
Logic
Inconsistance (Logique)
Logique
Logik (DE-588)4036202-4 gnd
Inkonsistenz (DE-588)4226191-0 gnd
topic_facet Inconsistency (Logic)
Logic
Inconsistance (Logique)
Logique
Logik
Inkonsistenz
Aufsatzsammlung
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