This article is a defense of frank ramsey's thesis that there is a symmetry between the logical roles of subjects and predicates in subject-Predicate sentences against recent objections.

The second volume in the Vancouver Studies in Cognitive Science series, this collection presents recent work in the fields of phonology, morphology, semantics, and neurolinguistics. Its overall theme is the relationship between the contents of grammatical formalisms and their real-time realizations in machine or biological systems. Individual essays address such topics as learnability, implementability, computational issues, parameter setting, and neurolinguistic issues. Contributors include Janet Dean Fodor, Richard T. Oehrle, Bob Carpenter, Edward P. Stabler, Elan Dresher, Arnold Zwicky, Mary-Louis Kean, and (...) Lewis P. Shapiro. (shrink)

The concept of identity has been seen to lead to paradox: we cannot truly and usefully say that a thing is the same either as itself or as something else. This book is a full examination of this paradox in philosophical logic, and of its implications for the philosophy of mathematics, the philosphy of mind, and relativism about identity. The author's account involves detailed discussion of the views of Wittgenstein, Russell, Frege, and Hintikka.

This 1994 book develops a way of representing the meanings of linguistic expressions which is independent of any particular language, allowing the expressions to be manipulated in accordance with rules related to their meanings which could be implemented on a computer. It begins with a survey of the contributions of linguistics, logic and computer science to the problem of representation, linking each with a particular type of formal grammar. A system of graphs is then presented, organized by scope relations in (...) which linguistic constituents are sub-graphs whose configuration is determined by their categories. In developing this system, the author extends the notion of scope and argues that anaphoric and relative pronouns are structural signs not linguistic constituents. Certain count nouns are made the basis of this system and an account of proper names relating the count nouns, is given. (shrink)

Language in Action demonstrates the viability of mathematical research into the foundations of categorial grammar, a topic at the border between logic and linguistics. Since its initial publication it has become the classic work in the foundations of categorial grammar. A new introduction to this paperback edition updates the open research problems and records relevant results through pointers to the literature. Van Benthem presents the categorial processing of syntax and semantics as a central component in a more general dynamic logic (...) of information flow, in tune with computational developments in artificial intelligence and cognitive science. Using the paradigm of categorial grammar, he describes the substructural logics driving the dynamics of natural language syntax and semantics. This is a general type-theoretic approach that lends itself easily to proof-theoretic and semantic studies in tandem with standard logic. The emphasis is on a broad landscape of substructural categorial logics and their proof-theoretical and semantic peculiarities. This provides a systematic theory for natural language understanding, admitting of significant mathematical results. Moreover, the theory makes possible dynamic interpretations that view natural languages as programming formalisms for various cognitive activities. (shrink)

This text is written as a critical assessment of categorial grammars. It outlines their evolution, discusses their formal basis and explores their use for a number of linguistic phenomena. It also examines their treatment of such general issues as word-order, plausibility, logic and parsing.

A sentence mentioning an object can be regarded as saying any one of several things about that object, without thereby being ambiguous. Some of the (logical) repercussions of this commonplace observation are recorded, and some critical discussion is provided of views which would appear to go against it.

The second volume in the Vancouver Studies in Cognitive Science series, this collection presents recent work in the fields of phonology, morphology, semantics, and neurolinguistics. Its overall theme is the relationship between the contents of grammatical formalisms and their real-time realizations in machine or biological systems. Individual essays address such topics as learnability, implementability, computational issues, parameter setting, and neurolinguistic issues. Contributors include Janet Dean Fodor, Richard T. Oehrle, Bob Carpenter, Edward P. Stabler, Elan Dresher, Arnold Zwicky, Mary-Louis Kean, and (...) Lewis P. Shapiro. (shrink)

For the most part, the papers collected in this volume stern from presentations given at a conference held in Tucson over the weekend of May 31 through June 2, 1985. We wish to record our gratitude to the participants in that conference, as well as to the National Science Foundation and the University of Arizona SBS Research Institute for their financial support. The advice we received from Susan Steele on organizational matters proved invaluable and had many felicitous consequences for the (...) success of the con­ ference. We also would like to thank the staff of the Departments of Linguistics of the University of Arizona and the University of Massachusetts at Amherst for their help, as weIl as a number of individuals, including Lin Hall, Kathy Todd, and Jiazhen Hu, Sandra Fulmer, Maria Sandoval, Natsuko Tsujimura, Stuart Davis, Mark Lewis, Robin Schafer, Shi Zhang, Olivia Oehrle-Steele, and Paul Saka. Finally, we would like to express our gratitude to Martin Scrivener, our editor, for his patience and his encouragement. Vll INTRODUCTION The term 'categorial grammar' was introduced by Bar-Rillel as a handy way of grouping together some of his own earlier work and the work of the Polish logicians and philosophers Lesniewski and Ajdukiewicz, in contrast to approaches to linguistic analysis based on phrase structure grammars. (shrink)