Ebook: Directions in Relevant Logic

Relevance logics came of age with the one and only International Conference on relevant logics in 1974. They did not however become accepted, or easy to promulgate. In March 1981 we received most of the typescript of IN MEMORIAM: ALAN ROSS ANDERSON Proceedings of the International Conference of Relevant Logic from the original editors, Kenneth W. Collier, Ann Gasper and Robert G. Wolf of Southern Illinois University. 1 They had, most unfortunately, failed to find a publisher - not, it appears, because of overall lack of merit of the essays, but because of the expense of producing the collection, lack of institutional subsidization, and doubts of publishers as to whether an expensive collection of essays on such an esoteric, not to say deviant, subject would sell. We thought that the collection of essays was still (even after more than six years in the publishing trade limbo) well worth publishing, that the subject would remain undeservedly esoteric in North America while work on it could not find publishers (it is not so esoteric in academic circles in Continental Europe, Latin America and the Antipodes) and, quite important, that we could get the collection published, and furthermore, by resorting to local means, published comparatively cheaply. It is indeed no ordinary collection. It contains work by pioneers of the main types of broadly relevant systems, and by several of the most innovative non-classical logicians of the present flourishing logical period. We have slowly re-edited and reorganised the collection and made it camera-ready.

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Content:
Front Matter....Pages i-xii
Introduction: Routes in Relevant Logic....Pages 1-21
Front Matter....Pages 23-23
“Relevance” in Logic and Grammar....Pages 25-57
Literal Relevance....Pages 59-75
The Relevance of Relevant Logic....Pages 77-86
The Classical Logic of Relevant Logicians....Pages 87-93
Relevance Principles and Formal Deducibility....Pages 95-97
Front Matter....Pages 99-99
Analytic Implication; Its History, Justification and Varietiess....Pages 101-118
Deducibility, Entailment and Analytic Containment....Pages 119-143
Conjunctive Containment....Pages 145-156
Real Implication....Pages 157-165
What is Relevant Implication?....Pages 167-174
Front Matter....Pages 175-175
Relevant Implication and Leibnizian Necessity....Pages 177-178
Which Entailments Entail which Entailments?....Pages 179-184
Categorical Propositions In Relevance Logic....Pages 185-196
Incompleteness for Quantified Relevance Logics....Pages 197-203
Front Matter....Pages 205-225
Gentzen’s Cut and Ackermann’s Gamma....Pages 227-227
Semantic Discovery for Relevance Logics....Pages 229-240
Philosophical and Linguistic Inroads: Multiply Intensional Relevant Logics....Pages 241-267
Quantification, Identity, and Opacity in Relevance Logic....Pages 269-304
Front Matter....Pages 305-316
Relevance Logic and Inferential Knowledge....Pages 227-227
Semantics Unlimited....Pages 317-326
Relevance, Truth and Meaning....Pages 327-376
Conclusion: Further Directions in Relevant Logics....Pages 377-397
Back Matter....Pages 399-437
....Pages 439-453