Categorial grammar /

This book is devoted to the mathematical foundations of categorial grammar including type-theoretic foundations of mathematics, grammatical categories and other topics related to categorial grammar and to philosophical and linguistic applications of this framework. The volume consists of three parts...

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Bibliographic Details
Other Authors: Benthem, Johan van, 1949-, Buszkowski, Wojciech, Marciszewski, Witold
Format: Book
Language:English
Published: Amsterdam ; Philadelphia : Benjamins, 1988
Series:Linguistic & literary studies in Eastern Europe ; v. 25
Subjects:
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245 0 0 |a Categorial grammar /  |c edited by Wojciech Buszkowski, Witold Marciszewski, Johan van Benthem 
260 |a Amsterdam ;  |a Philadelphia :  |b Benjamins,  |c 1988 
300 |a 1 online resource (viii, 365 pages) 
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490 1 |a Linguistic & literary studies in Eastern Europe ;  |v v. 25 
504 |a Bibliography: page 
505 0 |a CATEGORIAL GRAMMAR; Editorial page; Title page; Copyright page; LIST OF CONTRIBUTORS; Table of contents; I. EDITORIAL INTRODUCTION; 1. Announcing the volume; 2. A chronicle of categorial grammar; 1. Basic definitions; 2. Syntactic connexion; 3. Categorial grammar and the theory of semantic and syntactic categories; 4. Categorial grammar compared with other formal grammars; 5. Terminological and notational variants; 3. New trends in categorial grammar; 1. Past; 2. Present; 3. Future; REFERENCES; II. STUDIES IN CATEGORIAL GRAMMAR; 1. The semantics of variety in categorial grammar 
505 8 |a 1. Categorial grammar1.1. The original idea; 1.2. More flexible versions; 1.3. The Lambek calculus.; 1.4. Logical questions; 2. Semantics for type change; 2.1. Lambda-terms as type changers; 2.2. A completeness theorem; 2.3. Associated calculi of natural deduction; 3. Variation in outcomes; 3.1. The range of outcomes for a sequence; 3.2. The range of readings for an outcome; 4. Discussion; ACKNOWLEDGEMENT; REFERENCES; ADDENDUM; 2. Three theories of categorial grammar; 1. Prologue; 2. The classical theory; 2.1. Theorem:; 2.2. Theorem:; 2.3. Theorem:; 3. The algebraic theory; 3.1. Theorem 
505 8 |a 2.7. Corollary2.8. Lemma; 2.9. Theorem; 3. The non-finite axiomatizabUity of NLG0 over NA; 3.1. Lemma; 3.2. Lemma; 3.3. Lemma; 3.4. Lemma; 3.5. CoroUary; 3.6. Theorem; REFERENCES; 7. The mathematics of sentence structure*; 1. Introduction; 2. Syntactic types; 3. Type list for a fragment of English; 4. Formal systems; 5. Type computations in English; 6. Pronouns; 7. Syntactic calculus; 8. Decision procedure; 9. Proof of Gentzen's theorem; 10. Algebraic remarks; NOTES; REFERENCES; 8. A philosophical introduction to categorial and extended categorial grammar; 1. Grammars-abstract and concrete 
505 8 |a 3.1. Definition:3.2. Definition:; 3.3 Definition:; 3.4. Definition:; 3.5. Lemma:; 3.6. Lemma.; 3.7. Construction:; 3.8. Theorem:; 3.9. Definition:; 3.10. Definition:; 3.11. Theorem:; 4. Conclusion; REFERENCES; 4. Categorial languages; REFERENCES; NOTES; 5. A program for syntax; 1. Verbs; 2. Conjunctions; 3. Adverbs; 4. Prepositions; 5. Relative pronouns; 6. The non-associative Lambek calculus; 0. Introduction; 1. The system NL and its semantics; 1.1 Theorem:; 2. NLGo as an axiomatic extension of the Ajdukiewicz calculus; 2.1. Lemma:; 2.2. Lemma:; 2.3. Lemma; 2.4. Lemma; 2.5. Lemma; 2.6. Lemma 
505 8 |a 3.2. Theorem:3.3 Theorem:; 3.4. Theorem:; 3.5. Theorem:; 4. The semantical theory; 4.1 Theorem:; 4.2. Theorem:; 4.3. Theory:; 4.4. Theorem:; 4.5. Theorem:; 5. Epilogue; REFERENCES; NOTES; 3. Categorial grammars and list automata for strata of non-CF-Languages; 0. Summary; 1. Introduction; 1.1. What is the nature of categorial grammar thus generalized?; 2. Categorial grammars; 2.1. Definition; 2.2. Definition:; 2.3. Example:; 2.4. Definition:; 2.5. Theorem:; 2.6. Example:; 2.7. Definition:; 2.8. Definition:; 2.9. Definition:; 2.10. Definition:; 2.11. Theorem:; 3. List automata 
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520 |a This book is devoted to the mathematical foundations of categorial grammar including type-theoretic foundations of mathematics, grammatical categories and other topics related to categorial grammar and to philosophical and linguistic applications of this framework. The volume consists of three parts. The first, introductory part, contains the editor's addresses and two survey chapters concerning the history (W. Marciszewski) and current trends of the discipline (J.van Benthem). The second part consists of 10 chapters devoted to categorial grammar proper, and the third part 7 chapters devoted to areas close to categorial grammar. Most of the contributions are original papers, but five of them are reprints of classics (M.J. Cresswell, P.T. Geach, H. Hiz, J. Lambek, T. Potts) 
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