Type-Theoretical Grammar

Hardcover | June 1, 1995

byAarne Ranta

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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 acomsiderable 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 ofproof 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.

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From the Publisher

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 acomsiderable extension of the concepts and techni...

From the Jacket

It is the aim of INDICES to document recent explorations in the various fields of philosophical logic and formal linguistics and their applications in other disciplines. The main emphasis of this series is on self-contained monographs covering particular areas of recent research and surveys of methods, problems, and results in all fiel...

Aarne Ranta is at University of Helsinki.

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Paperback|May 9 2012

$24.54 online$25.50list price
Format:HardcoverDimensions:238 pages, 9.21 × 6.14 × 0.71 inPublished:June 1, 1995Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:019853857X

ISBN - 13:9780198538578

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Table of Contents

1. Preliminary remarks2. Gradual introduction to type theory3. Logical operators in English4. Anaphoric expressions5. Temporal reference6. Text and discourse7. Context and possible worlds8. Higher-level type theory9. Sugaring and parsingAppendixSugaring in ALFBibliographyIndex

Editorial 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