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Previous editions published : 1998 (2nd) ; 1989 (1st).
By mathematics of language is meant the mathematical properties that may, under certain assumptions about modeling, be attributed to human languages and related symbolic systems, as well as the increasingly active and autonomous scholarly discipline that studies such things. More specifically, the use of techniques developed in a variety of pure and applied mathematics, including logic and the theory of computation, in the discovery and articulation of insights into the structure of language. Some of the contributions to this volume deal primarily with foundational issues, others with specific models and theoretical issues. A few are concerned with semantics, but most focus on syntax. The papers in this volume reveal applications of the several fields of the theory of computation (formal languages, automata, complexity), formal logic, topology, set theory, graph theory, and statistics. The book also shows a keen interest in developing mathematical models that are especially suited to natural languages.
The Minimalist Program consists of four recent essays that attempt to situate linguistic theory in the broader cognitive sciences. In these essays the minimalist approach to linguistic theory is formulated and progressively developed. Building on the theory of principles and parameters and, in particular, on principles of economy of derivation and representation, the minimalist framework takes Universal Grammar as providing a unique computational system, with derivations driven by morphological properties, to which the syntactic variation of languages is also restricted. Within this theoretical framework, linguistic expressions are generated by optimally efficient derivations that must satis...
The International Encyclopedia of Linguistics, 2nd Edition encompasses the full range of the contemporary field of linguistics, including historical, comparative, formal, mathematical, functional, and philosophical linguistics with special attention given to interrelations within branches of linguistics and to relations of linguistics with other disciplines. Areas of intersection with the social and behavioral sciences--ethnolinguistics, sociolinguistics, psycholinguistics, and behavioral linguistics--receive major coverage, along with interdisciplinary work in language and literature, mathematical linguistics, computational linguistics, and applied linguistics.Longer entries in the Internat...
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The central idea of Dynamic Antisymmetry is that movement and phrase structure are not independent properties of grammar; more specifically, that movement is triggered by the geometry of phrase structure. Assuming a minimalist framework, movement is traced back to the necessity for natural language to organize words in linear order at the interface with the perceptual-articulatory module.Andrea Moro uses this innovative perspective to analyze several empirical domains, focusing on small clauses, split wh-movement, and clitic constructions. In a final speculative chapter, he examines the general consequences for the design of grammar implied by Dynamic Antisymmetry.The book is self-contained, with a synopsis of current theories of movement and a synthetic presentation of the theory of antisymmetry. An appendix presents the essentials of a unified theory of copular sentences, which plays a central role in the argument and has several important consequences for syntax, for example, for expletives and locality.Linguistic Inquiry Monograph No. 38