Fine Grained Theories of Time | p. 1 |
Priorean Tense Logic | p. 3 |
Referential Tense Logic | p. 7 |
A First Look at Allen's System | p. 17 |
A Sorted Interval-Based Language | p. 23 |
Concluding Remarks | p. 30 |
Revision Sequences and Computers With an Infinite Amount of Time | p. 37 |
Introduction | p. 37 |
The Gupta-Belnap Systems | p. 39 |
Revision Sequences | p. 39 |
The Systems S# and S* | p. 42 |
Infinite Time Turing Machines | p. 45 |
Revision Sequences Modeled by Infinite Time Turing Machines | p. 49 |
The Limit Rule and Other Applications | p. 55 |
Aftermath | p. 56 |
On Frege's Nightmare: A Combination of Intuitionistic, Free and Paraconsistent Logics | p. 61 |
Aims of This Paper | p. 62 |
The Dialogical Approach to Free Logic | p. 63 |
Dialogical Free Logic With and Without tertium non datur | p. 63 |
Winning Strategies and Dialogical Tableaux for DFL | p. 68 |
Many Quantifiers and Sorts of Objects--The Systems DFL[superscript n] and DFL[superscript (n)] | p. 73 |
Combining DFLI and DFLC | p. 75 |
Inconsistent Objects | p. 77 |
Paraconsistency | p. 77 |
The Dialogical Approach to Paraconsistent Logic and Frege's Nightmare | p. 79 |
Conclusions | p. 85 |
Truthmakers, Entailment and Necessity | p. 91 |
Truthmakers | p. 92 |
Entailment | p. 94 |
Necessity | p. 97 |
Reductionism | p. 100 |
Proofs | p. 102 |
Conclusion | p. 107 |
Global Definability in Basic Modal Logic | p. 111 |
Introduction | p. 111 |
Basic Concepts | p. 113 |
Local Definability | p. 114 |
Global Definability | p. 117 |
Hansoul's Theorem | p. 122 |
Universal Classes | p. 127 |
Concluding Remarks | p. 130 |
Ackermann's Implication for Typefree Logic | p. 137 |
Ackermann's Typefree Logic | p. 137 |
Deductive and Combinatorial Completeness | p. 137 |
A Deductive Interpretation of Implication | p. 139 |
The Positive Fragments of Ackermann's Systems | p. 140 |
The Two Deducibility Relation of [Sigma superscript +] | p. 144 |
A Hierarchy of Deductive Systems | p. 149 |
The Base Calculus K[subscript 0] | p. 151 |
The Calculus K[subscript 1] | p. 153 |
The Full Hierarchy | p. 155 |
Algebraic Semantics | p. 158 |
Ackermann Structures | p. 158 |
The Canonical Ackermann Lattice | p. 160 |
Why Dialogical Logic? | p. 165 |
Introduction | p. 165 |
Pluralism Concerning Logics and Logical Methodology | p. 166 |
Dialogical Logic: A Short Outline | p. 167 |
Prejudices Against Dialogical Logic | p. 171 |
'Dialogical Logic is a Constructivistic Logic' | p. 171 |
'Dialogical Logic is Limited to Classical and Intuitionistic Logic' | p. 172 |
'Dialogical Logic Complicates Things Unnecessarily' | p. 172 |
Advantages of Dialogical Logic | p. 173 |
The Distinction between General and Formal Truth | p. 173 |
The Distinction between the Level of Games and the Level of Strategies | p. 175 |
The Distinction between the Particle Rules and the Structural Rules | p. 177 |
Concluding Remarks | p. 182 |
Semantics for Constructive Negations | p. 187 |
Preliminaries. A Hierarchy of Negations | p. 187 |
Introduction. "Kripk-Approach" to Semantic Analysis | p. 189 |
Formal Definitions of Constructive Negation and Informal Understanding of Negation in Intuitionism | p. 190 |
State-Descriptions as a Method of Semantic Analysis. A Model for Positive Logic | p. 192 |
Intuitionistic State-Descriptions. Models for Negation | p. 195 |
The System M | p. 200 |
The System I | p. 200 |
The System D | p. 202 |
The System E | p. 203 |
The System C | p. 204 |
Propositional Constants | p. 204 |
Soundness | p. 205 |
Completeness | p. 206 |
Generalizations | p. 213 |
Recent Trends in Paraconsistent Logic | p. 219 |
Philosophical and Historical Background | p. 220 |
A Few Historical Remarks | p. 220 |
The Principle of Contradiction | p. 221 |
Harnessing Paraconsistency | p. 223 |
Mathematics | p. 223 |
Automated Reasoning | p. 224 |
Belief Revision | p. 226 |
Philosophy and Methodology | p. 227 |
Main Tendencies in Paraconsistent Logic | p. 228 |
Da Costa's Systems | p. 228 |
Many-Valued and Relevant Logic | p. 229 |
Inconsistency Adaptive Logic | p. 231 |
Non-Adjunctive Systems | p. 232 |
Other Approaches | p. 239 |
Will There be a Unification? | p. 240 |
Obligations, Authorities, and History Dependence | p. 247 |
Introduction | p. 247 |
Identification of Obligations | p. 248 |
Authorities and Addressees of Norms | p. 251 |
History Dependence | p. 254 |
Bibliography | p. 257 |
Index | p. 259 |
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