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This wide-ranging collection of essays explores the nature of logic and the key issues and debates in the metaphysics of logic.
List of contents
Introduction Penelope Rush; Part I. The Main Positions: 1. Logical realism Penelope Rush; 2. A defence of logical conventionalism Jody Azzouni; 3. Pluralism, relativism, and objectivity Stewart Shapiro; 4. Logic, mathematics and conceptual structuralism Solomon Feferman; 5. A Second Philosophy of logic Penelope Maddy; 6. Logical nihilism Curtis Franks; 7. Wittgenstein and the covert Platonism of mathematical logic Mark Steiner; Part II. History and Authors: 8. Logic and its objects: a medieval Aristotelian view Paul Thom; 9. The problem of universals and the subject matter of logic Gyula Klima; 10. Logics and worlds Ermanno Bencivenga; 11. Bolzano's logical realism Sandra Lapointe; Part III. Specific Issues: 12. Revising logic Graham Priest; 13. Glutty theories and the logic of antinomies J. C. Beall, Michael Hughes and Ross Vandegrift; 14. The metaphysical interpretation of logical truth Tuomas E. Tahko; References; Index.
About the author
Penelope Rush is Honorary Associate with the School of Philosophy and Online Lecturer for Student Learning at the University of Tasmania. She has published articles in journals including Logic and Logical Philosophy, Review of Symbolic Logic, South African Journal of Philosophy, Studia Philosophica Estonica, and Logique et Analyse. She is also the author of The Paradoxes of Mathematical, Logical, and Scientific Realism (forthcoming).
Summary
This book provides an analysis of the role and nature of logic and its relationship to us and the world. Looking at the key topics and debates in the metaphysics of logic, this wide-ranging collection of essays offers readers of mathematics, logic and philosophy an in-depth overview of the field.