Abstract
The term ‘categorial grammar’ was introduced by Bar-Hillel (1964, page 99) as a handy way of grouping together some of his own earlier work (1953) and the work of the Polish logicians and philosophers Leśniewski (1929) and Ajdukiewicz (1935), in contrast to approaches to linguistic analysis based on phrase structure grammars. The most accessible of these earlier works was the paper of Ajdukiewicz, who, under the influence of Husserl’s Bedeutungskategorien and the type theory that Russell had introduced to fend off foundational problems in set theory, proposed a mode of grammatical analysis in which every element of the vocabulary of a language belongs to one or more categories, and each category is either basic or defined in terms of simpler categories in a way which fixes the combinatorial properties of complex categories.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ajdukiewicz, K.: 1935, ‘Die syntaktische Konnexität’, Studia Philosophica 1, 1–27. (English translation in Storrs McCall, ed., Polish Logic, Oxford University Press, 1967.)
Bach, E.: 1979, ‘Control in Montague Grammar’, Linguistic Inquiry 10, 515–531.
Bach, E.: 1981, `Discontinuous Constituents in Generalized Categorial Grammar’, NE LS XI, 1–12.
Bach, E.: 1984, ‘Some Generalizations of Categorial Grammar’, in F. Landman and F.
Veltman (eds.), Varieties of Formal Semantics, Foris, Dordrecht, pp. 1–23.
Bar-Hillel, Y.: 1953, ‘A Quasi-Arithmetical Notation for Syntactic Description’, Language 29, 47–58; reprinted in Bar-Hillel (1964), pp. 61–74.
Bar-Hillel, Y.: 1964, Language and Information, Addison-Wesley, Reading, Mass.
Chierchia, G.: 1984, Topics in the Syntax and Semantics of Infinitives and Gerunds, Ph.D. dissertation, Department of Linguistics, University of Massachusetts at Amherst.
Cresswell, M.: 1972, Logics and Languages, Methuen, London.
Curry, H.: 1961, ‘Some Logical Aspects of Grammatical Structure’, in R. O. Jakobson ( 1961 ), pp. 56–68.
Curry, H. and R. Feys: 1958, Combinatory Logic, Vol. I, North-Holland, Amsterdam. Curry, H., J. R. Hindley, and J. P. Seldin: 1972, Combinatory Logic, Vol. II, North-Holland, Amsterdam.
Flynn, M.: 1983, ‘A Categorial Theory of Structure-Building’, in G. Gazdar, E. Klein, and G. Pullum (eds.), Order, Concord and Constituency, Foris, Dordrecht, pp. 139–174.
Geach, P. T.: 1972, ‘A Program for Syntax’, in D. Davidson and G. Harman (eds.), Semantics of Natural Language, D. Reidel, Dordrecht, pp. 483–497.
Hayes, B.: 1984, ‘The Phonetics and Phonology of Russian Voicing Assimilation’, in M. Aronoff and R. T. Oehrle (eds.), Language Sound Structure, MIT Press, Cambridge, Mass., pp. 318–328.
van Heijenoort, J.: 1971, From Frege to Gödel: A Sourcebook in Mathematical Logic, 1879–1931. Harvard University Press, Cambridge, Mass.
Hindley, J. R. and J. P. Seldin: 1986, Introduction to Combinators and A-Calculus, Cambridge University Press, Cambridge.
Jakobson, R. O. (ed.): 1961, Structure of Language and Its Mathematical Aspects, Proceedings of Symposia in Applied Mathematics, Vol. XII, American Mathematical Society, Providence.
Lambek, J.: 1958, ‘The Mathematics of Sentence Structure’, American Mathematical Monthly 65, 154–169.
Lambek, J.: 1961, ‘On the Calculus of Syntactic Types’, in R. O. Jakobson ( 1961 ), pp. 166–178.
Lambek, J.: 1968, ‘Deductive Systems and Categories I’, Mathematical Systems Theory 2, 278–318.
Lambek, J.: 1969, ‘Deductive Systems and Categories II’, Springer Lecture Notes in Mathematics 86, 76–122.
Lambek, J.: 1980, ‘From A-calculus to Cartesian Closed Categories’, in J. R. Hindley and J. P. Seldin (eds.), To H. B. Curry: Essays on Combinatory Logic, Lambda Calculus and Formalism, Academic Press, New York, pp. 375–402.
Lesniewski, St.: 1929, ‘Grundzüge eines neuen Systems der Grundlagen der Mathematik’, Fundamenta mathematicae 14, 1–81.
Levin, H.: 1976, First Order Logic as a Formal Language: An Investigation of Categorial Grammar, Ph.D. dissertation, Department of Philosophy, MIT.
Levin, H.: 1982, Categorial Grammar and the Logical Form of Quantification, Bibliopolis, Naples.
Lewis, D.: 1972, ‘General Semantics’, in D. Davidson and G. Harman (eds.), Semantics of Natural Language, D. Reidel, Dordrecht, pp. 169–218.
Lyons, J.: 1966, ‘Towards a “Notional” Theory of the “Parts of Speech”’, Journal of Linguistics 2, 209–236.
MacLane, S.: 1986, Mathematics: Form and Function,Springer Verlag.
Quine, W. V.: 1960, ‘Variables Explained Away’, in Selected Logic Papers, Random House (1966), New York, pp. 227–235.
Schmerling, S.: 1982, ‘The Proper Treatment of the Relationship Between Syntax and Phonology’, Texas Linguistic Forum 19, 151–166.
Schönfinkel, M.: 1924, ‘Über die Bausteine der mathematischen Logik’, Mathematische Annalen 92, 305–316, translated as `On the Building Blocks of Mathematical Logic’ in van Heijenoort (1971), pp. 355–366.
Stenlund, S.: 1972, Combinators, A-terms and Proof Theory, D. Reidel, Dordrecht.
Stoy, J.: 1977, Denotational Semantics, MIT Press, Cambridge, Mass.
von Stechow, A.: 1974, ’e-A kontextfreie Sprachen: Ein Beitrag zu einer natürlichen formalen Semantik, Linguistische Berichte 34, 1–33.
Thomason, R. H. (ed.): 1974a, Formal Philosophy: Selected Papers of Richard Montague, Yale Univeresity Press, New Haven.
Thomason, R. H.: 1974b, ‘Some Complement Constructions in Montague Grammar’, CLS 10, pp. 712–722.
Thomason, R. H.: 1976, ‘Some Extensions of Montague Grammar’, in B. Partee (ed.), Montague Grammar,Academic Press, New York, pp. 77–117.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Oehrle, R.T., Bach, E., Wheeler, D. (1988). Introduction. In: Oehrle, R.T., Bach, E., Wheeler, D. (eds) Categorial Grammars and Natural Language Structures. Studies in Linguistics and Philosophy, vol 32. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-6878-4_1
Download citation
DOI: https://doi.org/10.1007/978-94-015-6878-4_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-55608-031-9
Online ISBN: 978-94-015-6878-4
eBook Packages: Springer Book Archive