Entailment, Vol. II: The Logic of Relevance and Necessity

Alan Ross Anderson; Nuel D. Belnap, Jr.; J. Michael Dunn

Published by Princeton University Press 1992

Entailment, Vol. II

The Logic of Relevance and Necessity

Alan Ross Anderson , Nuel D. Belnap, Jr. and J. Michael Dunn

Volume 5027 in the series Princeton Legacy Library

https://doi.org/10.1515/9781400887071

Overview
Contents

About this book

In spite of a powerful tradition, more than two thousand years old, that in a valid argument the premises must be relevant to the conclusion, twentieth-century logicians neglected the concept of relevance until the publication of Volume I of this monumental work. Since that time relevance logic has achieved an important place in the field of philosophy: Volume II of Entailment brings to a conclusion a powerful and authoritative presentation of the subject by most of the top people working in the area. Originally the aim of Volume II was simply to cover certain topics not treated in the first volume--quantification, for example--or to extend the coverage of certain topics, such as semantics. However, because of the technical progress that has occurred since the publication of the first volume, Volume II now includes other material. The book contains the work of Alasdair Urquhart, who has shown that the principal sentential systems of relevance logic are undecidable, and of Kit Fine, who has demonstrated that, although the first-order systems are incomplete with respect to the conjectured constant domain semantics, they are still complete with respect to a semantics based on "arbitrary objects." Also presented is important work by the other contributing authors, who are Daniel Cohen, Steven Giambrone, Dorothy L. Grover, Anil Gupta, Glen Helman, Errol P. Martin, Michael A. McRobbie, and Stuart Shapiro. Robert G. Wolf's bibliography of 3000 items is a valuable addition to the volume.

Originally published in 1992.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

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Frontmatter Publicly Available Download PDF	i
CONTENTS Publicly Available Download PDF	vii
ANALYTICAL TABLE OF CONTENTS Requires Authentication Unlicensed Licensed Download PDF	ix
PREFACE Requires Authentication Unlicensed Licensed Download PDF	xvii
ACKNOWLEDGMENTS Requires Authentication Unlicensed Licensed Download PDF	xix
SUMMARY REVIEW OF VOLUME I Requires Authentication Unlicensed Licensed Download PDF	xxiii
CHAPTER VI. THE THEORY OF ENTAILMENT Requires Authentication Unlicensed Licensed Download PDF	1
CHAPTER VII. INDIVIDUAL QUANTIFICATION Requires Authentication Unlicensed Licensed Download PDF	70
CHAPTER VIII. ACKERMANN'S STRENGE IMPLIKATION Requires Authentication Unlicensed Licensed Download PDF	129
CHAPTER IX. SEMANTICS Requires Authentication Unlicensed Licensed Download PDF	142
CHAPTER X. PROOF THEORY AND DECIDABILITY Requires Authentication Unlicensed Licensed Download PDF	267
CHAPTER XI. FUNCTIONS, ARITHMETIC, AND OTHER SPECIAL TOPICS Requires Authentication Unlicensed Licensed Download PDF	392
CHAPTER XII. APPLICATIONS AND DISCUSSION Requires Authentication Unlicensed Licensed Download PDF	488
BIBLIOGRAPHY Robert G. Wolf Requires Authentication Unlicensed Licensed Download PDF	565
INDEX OF NAMES Requires Authentication Unlicensed Licensed Download PDF	711
INDEX OF SUBJECTS Requires Authentication Unlicensed Licensed Download PDF	719
SPECIAL SYMBOLS Requires Authentication Unlicensed Licensed Download PDF	747