Relevant Logic: A Philosophical Interpretation

by Edwin D. Mares

Overview

The defining feature of relevant logic is that it forces the premises of an argument to be really used and thus become "relevant" in deriving its conclusion. This book introduces the reader to relevant logic and provides it with a philosophical interpretation. The logic is analyzed in the context of possible world semantics and situation semantics, which are then applied to provide an understanding of the various logical particles (especially implication and negation) and natural language conditionals. The book concludes by examining various applications of relevant logic.

Product Details

ISBN-13:	9780521039253
Publisher:	Cambridge University Press
Publication date:	08/13/2007
Edition description:	New Edition
Pages:	240
Product dimensions:	5.98(w) x 9.02(h) x 0.55(d)

About the Author

Edwin D. Mares is Senior Lecturer at the Philosophy Programme, Victoria University of Wellington. He has published extensively on both the philosophical and mathematical aspects of logic, as well as metaphysics and the philosophy of language.

Table of Contents

Preface; Acknowledgements; Part I. Relevant Logic and its Semantics: 1. What is relevant logic and why do we need it?; 2. Possible worlds and beyond; 3. Situating implication; 4. Ontological interlude; 5. Negation; 6. Modality, entailment and quantification; Part II. Conditionals: 7. Indicative conditionals; 8. Counterfactuals; Part III. Inference and its Applications: 9. The structure of deduction; 10. Disjunctive syllogism; 11. Putting relevant logic to work; 12. Afterword; Appendix A: the logic R; Appendix B: Routley-Meyer semantics for R; Glossary; References; Index.