Constructive type theory was first presented in 1970, by the Swedish logician Per Martin-Lof. It has become one of the main approaches in the foundations of mathematics and computer science. But it has remained relatively unknown among linguists and philosophers, although it provides a comsiderable extension of the concepts and techniques of logic. The book contains an introduction to type theory from the point of view of linguistics and the philosophy of language. Type theory is then applied in the areas of quantification, anaphora, temporal reference, and the structure of text and discourse. In virtue of the type theoretical concepts of proof object and context, various phenomena of dependence and progression in language can be discussed in precise terms, and several well-known problems can be solved.
Reviews
'The formalism introduced by the author allows better understanding of the role of semantics in grammars of natural languages and supplies mechnisms for various levels of linguistic description.' T.Balanescu, Zenrrallblatt fur Mathematik und ihre Grenzgebiete No. 855, 1997



Book Information
ISBN 9780198538578
Author Aarne Ranta
Format Hardback
Page Count 238
Imprint Clarendon Press
Publisher Oxford University Press
Weight(grams) 494g
Dimensions(mm) 241mm * 162mm * 18mm