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This collection of newly comissioned essays by international contributors offers a representative overview of the most important developments in contemporary philosophical logic. * Presents controversies in philosophical implications and applications of formal symbolic logic. * Surveys major trends and offers original insights.
This collection of newly comissioned essays by international contributors offers a representative overview of the most important developments in contemporary philosophical logic. * Presents controversies in philosophical implications and applications of formal symbolic logic. * Surveys major trends and offers original insights.
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Dale Jacquette is Professor of Philosophy at the Pennsylvania State University. He is the author of Philosophy of Mind (1994), Meinongian Logic: The Semantics of Existence and Nonexistence (1996), Wittgenstein's Thought in Transition (1998), Symbolic Logic (2001), David Hume's Critique of Infinity (2001), and On Boole: Logic as Algebra (2001), as well as numerous articles on logic, metaphysics, philosophy of mind, and Wittgenstein. He is editor of Philosophy of Mathematics: An Anthology (Blackwell 2001) and Philosophy of Logic: An Anthology (Blackwell 2001).
Inhaltsangabe
List of Contributors viii Preface xi Acknowledgments xiii Introduction: Logic, Philosophy, and Philosophical Logic - Dale Jacquette 1 Part I Historical Development of Logic 9 11 Ancient Greek Philosophical Logic - Robin Smith 11 12 History of Logic: Medieval - E. P. Bos and B. G. Sundholm 24 13 The Rise of Modern Logic - Rolf George and James Van Evra 35 Part II Symbolic Logic and Ordinary Language 49 14 Language, Logic, and Form - Kent Bach 51 15 Puzzles about Intensionality - Nathan Salmon 73 16 Symbolic Logic and Natural Language - Emma Borg and Ernest Lepore 86 Part III Philosophical Dimensions of Logical Paradoxes 103 17 Logical Paradoxes - James Cargile 105 18 Semantical and Logical Paradox - Keith Simmons 115 19 Philosophical Implications of Logical Paradoxes - Roy A. Sorensen 131 Part IV Truth and Definite Description in Semantic Analysis 143 10 Truth, the Liar, and Tarski's Semantics - Gila Sher 145 11 Truth, the Liar, and Tarskian Truth Definition - Greg Ray 164 12 Descriptions and Logical Form - Gary Ostertag 177 13 Russell's Theory of Definite Descriptions as a Paradigm for Philosophy - Gregory Landini 194 Part V Concepts of Logical Consequence 225 14 Necessity, Meaning, and Rationality: The Notion of Logical Consequence - Stewart Shapiro 227 15 Varieties of Consequence - B. G. Sundholm 241 16 Modality of Deductively Valid Inference - Dale Jacquette 256 Part VI Logic, Existence, and Ontology 263 17 Quantifiers, Being, and Canonical Notation - Paul Gochet 265 18 From Logic to Ontology: Some Problems of Predication, Negation, and Possibility - Herbert Hochberg 281 19 Putting Language First: The 'Liberation' of Logic from Ontology - Ermanno Bencivenga 293 Part VII Metatheory and the Scope and Limits of Logic 305 20 Metatheory - Alasdair Urquhart 307 21 Metatheory of Logics and the Characterization Problem - Jan Wole¿nski 319 22 Logic in Finite Structures: Definability, Complexity, and Randomness - Scott Weinstein 332 Part VIII Logical Foundations of Set Theory and Mathematics 349 23 Logic and Ontology: Numbers and Sets - José A. Benardete 351 24 Logical Foundations of Set Theory and Mathematics - Mary Tiles 365 25 Property-Theoretic Foundations of Mathematics - Michael Jubien 377 Part IX Modal Logics and Semantics 389 26 Modal Logic - Johan van Benthem 391 27 First-Order Alethic Modal Logic - Melvin Fitting 410 28 Proofs and Expressiveness in Alethic Modal Logic - Maarten de Rijke and Heinrich Wansing 422 29 Alethic Modal Logics and Semantics - Gerhard Schurz 442 30 Epistemic Logic - Nicholas Rescher 478 31 Deontic, Epistemic, and Temporal Modal Logics - Risto Hilpinen 491 Part X Intuitionistic, Free, and Many-Valued Logics 511 32 Intuitionism - Dirk van Dalen and Mark van Atten 513 33 Many-Valued, Free, and Intuitionistic Logics - Richard Grandy 531 34 Many-Valued Logic - Grzegorz Malinowski 545 Part XI Inductive, Fuzzy, and Quantum Probability Logics 563 35 Inductive Logic - Stephen Glaister 565 36 Heterodox Probability Theory - Peter Forrest 582 37 Why Fuzzy Logic? - Petr Hájek 595 Part XII Relevance and Paraconsistent Logics 607 38 Relevance Logic - Edwin D. Mares 609 39 On Paraconsistency - Bryson Brown 628 40 Logicians Setting Together Contradictories: A Perspective on Relevance, Paraconsistency, and Dialetheism - Graham Priest 651 Part XIII Logic, Machine Theory, and Cognitive Science 665 41 The Logical and the Physical - Andrew W. Hodges 667 42 Modern Logic and its Role in the Study of Knowledge - Peter A. Flach 680 43 Actions and Normative Positions: A Modal-Logical Approach - Robert Demolombe and Andrew J. I. Jones 694 Part XIV Mechanization of Logical Inference and Proof Discovery 707 44 The Automation of Sound Reasoning and Successful Proof Finding - Larry Wos and Branden Fitelson 709 45 A Computational Logic for Applicative Common LISP - Matt Kaufmann and J. Strother Moore 724 46 Sampling Labeled Deductive Systems - D. M. Gabbay 742 Resources for Further Study 771 Index 776
List of Contributors viii Preface xi Acknowledgments xiii Introduction: Logic, Philosophy, and Philosophical Logic - Dale Jacquette 1 Part I Historical Development of Logic 9 11 Ancient Greek Philosophical Logic - Robin Smith 11 12 History of Logic: Medieval - E. P. Bos and B. G. Sundholm 24 13 The Rise of Modern Logic - Rolf George and James Van Evra 35 Part II Symbolic Logic and Ordinary Language 49 14 Language, Logic, and Form - Kent Bach 51 15 Puzzles about Intensionality - Nathan Salmon 73 16 Symbolic Logic and Natural Language - Emma Borg and Ernest Lepore 86 Part III Philosophical Dimensions of Logical Paradoxes 103 17 Logical Paradoxes - James Cargile 105 18 Semantical and Logical Paradox - Keith Simmons 115 19 Philosophical Implications of Logical Paradoxes - Roy A. Sorensen 131 Part IV Truth and Definite Description in Semantic Analysis 143 10 Truth, the Liar, and Tarski's Semantics - Gila Sher 145 11 Truth, the Liar, and Tarskian Truth Definition - Greg Ray 164 12 Descriptions and Logical Form - Gary Ostertag 177 13 Russell's Theory of Definite Descriptions as a Paradigm for Philosophy - Gregory Landini 194 Part V Concepts of Logical Consequence 225 14 Necessity, Meaning, and Rationality: The Notion of Logical Consequence - Stewart Shapiro 227 15 Varieties of Consequence - B. G. Sundholm 241 16 Modality of Deductively Valid Inference - Dale Jacquette 256 Part VI Logic, Existence, and Ontology 263 17 Quantifiers, Being, and Canonical Notation - Paul Gochet 265 18 From Logic to Ontology: Some Problems of Predication, Negation, and Possibility - Herbert Hochberg 281 19 Putting Language First: The 'Liberation' of Logic from Ontology - Ermanno Bencivenga 293 Part VII Metatheory and the Scope and Limits of Logic 305 20 Metatheory - Alasdair Urquhart 307 21 Metatheory of Logics and the Characterization Problem - Jan Wole¿nski 319 22 Logic in Finite Structures: Definability, Complexity, and Randomness - Scott Weinstein 332 Part VIII Logical Foundations of Set Theory and Mathematics 349 23 Logic and Ontology: Numbers and Sets - José A. Benardete 351 24 Logical Foundations of Set Theory and Mathematics - Mary Tiles 365 25 Property-Theoretic Foundations of Mathematics - Michael Jubien 377 Part IX Modal Logics and Semantics 389 26 Modal Logic - Johan van Benthem 391 27 First-Order Alethic Modal Logic - Melvin Fitting 410 28 Proofs and Expressiveness in Alethic Modal Logic - Maarten de Rijke and Heinrich Wansing 422 29 Alethic Modal Logics and Semantics - Gerhard Schurz 442 30 Epistemic Logic - Nicholas Rescher 478 31 Deontic, Epistemic, and Temporal Modal Logics - Risto Hilpinen 491 Part X Intuitionistic, Free, and Many-Valued Logics 511 32 Intuitionism - Dirk van Dalen and Mark van Atten 513 33 Many-Valued, Free, and Intuitionistic Logics - Richard Grandy 531 34 Many-Valued Logic - Grzegorz Malinowski 545 Part XI Inductive, Fuzzy, and Quantum Probability Logics 563 35 Inductive Logic - Stephen Glaister 565 36 Heterodox Probability Theory - Peter Forrest 582 37 Why Fuzzy Logic? - Petr Hájek 595 Part XII Relevance and Paraconsistent Logics 607 38 Relevance Logic - Edwin D. Mares 609 39 On Paraconsistency - Bryson Brown 628 40 Logicians Setting Together Contradictories: A Perspective on Relevance, Paraconsistency, and Dialetheism - Graham Priest 651 Part XIII Logic, Machine Theory, and Cognitive Science 665 41 The Logical and the Physical - Andrew W. Hodges 667 42 Modern Logic and its Role in the Study of Knowledge - Peter A. Flach 680 43 Actions and Normative Positions: A Modal-Logical Approach - Robert Demolombe and Andrew J. I. Jones 694 Part XIV Mechanization of Logical Inference and Proof Discovery 707 44 The Automation of Sound Reasoning and Successful Proof Finding - Larry Wos and Branden Fitelson 709 45 A Computational Logic for Applicative Common LISP - Matt Kaufmann and J. Strother Moore 724 46 Sampling Labeled Deductive Systems - D. M. Gabbay 742 Resources for Further Study 771 Index 776
Rezensionen
"Here is a first-class collection of articles by a first-class collection of authors. It covers the full range of philosophical logic from its history through its philosophy to its applications, with a lot of good, solid logic all along the way. Of particular value is the way it presents multiple voices on common topics. This is the way philosophy should be done." Lou Goble, Willamette University
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