The Logic of Entailment and its History

by Edwin Mares

Overview

What follows from what, and how do we make statements (whether true or false) about which inferences are correct? In this book, Edwin Mares provides a new philosophical, semantical and historical analysis of and justification for the relevant logic of entailment. In the first half of the book he examines some key ideas in the historical development of the logic of entailment, looking in particular at the notion 'is derivable from' and at how symbolic logic has attempted to capture this notion. In the second half of the book he develops his own theory connecting ideas from the traditions in mathematical logic with some ideas in the philosophy of science. The book's fresh and original perspective on the logic of entailment will be valuable for all who want to know more about the historical and philosophical origins of modern symbolic logic.

Product Details

ISBN-13:	9781009375313
Publisher:	Cambridge University Press
Publication date:	02/15/2024
Pages:	282
Product dimensions:	6.93(w) x 9.88(h) x 0.87(d)

About the Author

Edwin Mares is Professor of Philosophy at Victoria University of Wellington. His publications include Relevant Logic: A Philosophical Interpretation (Cambridge, 2004).

Table of Contents

1. Why Entailment?; Part I. Entailment in the 20th Century: 2. C.I. Lewis and his school; 3. Entailment and possibleworlds; 4. Entailment and relevance; 5. Reflexivity; Part II. Theories and Entailment: 6. Theories and closure; 7. Theories of entailment; Part III. The Logic E of Relevant Entailment: 8. The logic of entailment; 9. Negation and disjunction; 10. Quantification; 11. Entailment and reasoning; Appendices.

Editorial Reviews

'The Logic of Entailment and Its History by Edwin Mares is interesting, erudite, and original. It seamlessly weaves together contemporary research in logic with its history. The result is a novel, accessible take on entailment and its use in our scientific theories.' Zach Weber, University of Otago

From the Publisher