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. 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).
[Linguistic and Literary Studies in Eastern Europe, 25] 1988. viii, 365 pp.
Publishing status: Available
Published online on 7 November 2011
Published online on 7 November 2011
© John Benjamins Publishing Company
Table of Contents
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Part I. Editorial introduction
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Announcing the volumeWojciech Buszkowski | p. 3
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A chronicle of categorial grammarWitold Marciszewski | p. 7
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New trends in categorial grammarJohan van Benthem | p. 23
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Part II. Studies in categorial grammar
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The semantics of variety in categorial grammarJohan van Benthem | p. 37
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Three theories of categorial grammarWojciech Buszkowski | p. 57
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Categorial grammars and list automata for strata of non-CF-languagesM. Chytil and H. Karlgren | p. 85
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Categorial languagesM.J. Cresswell | p. 113
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A program for syntaxP.T. Geach | p. 127
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The non-associative Lambek calculusMaciej Kandulski | p. 141
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The mathematics of sentence structureJ. Lambek | p. 153
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A philosophical introduction to categorial and extended categorial grammarHarold D. Levin | p. 173
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How freely can categories be assigned to expressions of natural language? A case studyWitold Marciszewski | p. 197
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Fregean grammar: A formal outlineT.C. Potts | p. 221
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Part III. Borderlines of categorial grammar
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Second-order logic without variablesK. Došen | p. 245
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Grammar logicismHenry Hiż | p. 265
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“Linguistic constructions” in transparent intensional logicPavel Materna, Petr Sgall and Eva Hajičová | p. 283
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Montague logic and its extensionsE. Orłowska | p. 301
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Configurations and pseudoconfigurations in algebraic linguisticsMaria Semeniuk-Polkowska | p. 325
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Grammatical categories: Their nature and interlanguage variationKazimierz A. Sroka | p. 333
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Towards a formal semioticsM. Tokarz | p. 357
Cited by (18)
Cited by 18 other publications
Kaminski, Michael
2022. Extending the Lambek Calculus with Classical Negation. Studia Logica 110:2 ► pp. 295 ff. 
Valentín, Oriol
2014. The Hidden Structural Rules of the Discontinuous Lambek Calculus. In Categories and Types in Logic, Language, and Physics [Lecture Notes in Computer Science, 8222], ► pp. 402 ff.
Wybraniec-Skardowska, Urszula
2009. On Meta-Knowledge and Truth. In Towards Mathematical Philosophy, ► pp. 319 ff.
Wybraniec-Skardowska, Urszula
2020. What Is the Sense in Logic and Philosophy of Language. Bulletin of the Section of Logic 49:2
da S. Corrêa, Marcelo & E. Hermann Haeusler
2005. On the Selective Lambek Calculus. In Logical Aspects of Computational Linguistics [Lecture Notes in Computer Science, 3492], ► pp. 67 ff.
Godart-Wendling, Béatrice
1999. De l’ubiquité de l’ordre dans les premières grammaires catégorielles. Historiographia Linguistica 26:3 ► pp. 383 ff.
Godart-Wendling, Béatrice
2003. Les grammaires catégorielles lambekiennes : le traitement des constituants discontinus. Linx :48 ► pp. 123 ff.
Lambek, J.
1999. Type Grammar Revisited. In Logical Aspects of Computational Linguistics [Lecture Notes in Computer Science, 1582], ► pp. 1 ff.
Henrichsen, P. J.
1998. Does the Sentence Exist? Do We Need It?. In Discourse, Interaction and Communication, ► pp. 1 ff.
Kolowska‐Gawiejnowicz, Miroslawa
1997. Powerset Residuated Algebras and Generalized Lambek Calculus. Mathematical Logic Quarterly 43:1 ► pp. 60 ff.
Segond, Frédérique
1994. Traitement des verbes dans une grammaire catégorielle du français : le coup de GraCE1. Cahiers de praxématique :22 ► pp. 13 ff.
Zielonka, Wojciech & W. Zielonka
1992. INTERDEFINABILITY OF LAMBEKIAN FUNCTORS. Mathematical Logic Quarterly 38:1 ► pp. 501 ff.
Buszkowski, Wojciech
1988. Generative Power of Categorial Grammars. In Categorial Grammars and Natural Language Structures [Studies in Linguistics and Philosophy, 32], ► pp. 69 ff.
Buszkowski, Wojciech
1991. On generative capacity of the Lambek calculus. In Logics in AI [Lecture Notes in Computer Science, 478], ► pp. 139 ff.
Buszkowski, Wojciech
2003. Syntactic Calculus and Pregroups. In Grammars and Automata for String Processing [Topics in Computer Mathematics, 20032543], ► pp. 203 ff.
Buszkowski, Wojciech
2018. Categorial Grammars and Their Logics. In The Lvov-Warsaw School. Past and Present [Studies in Universal Logic, ], ► pp. 91 ff.
[no author supplied]
1991. Bibliography. In Language in Action - Categories, Lambdas and Dynamic Logic [Studies in Logic and the Foundations of Mathematics, 130], ► pp. 327 ff.
[no author supplied]
2006. Bibliography. In The Blackwell Guide to the Philosophy of Language, ► pp. 411 ff.
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Subjects
Main BIC Subject
CF: Linguistics
Main BISAC Subject
LAN009000: LANGUAGE ARTS & DISCIPLINES / Linguistics / General