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Type-theoretical Grammar (Hardcover, New)
Loot Price: R3,122
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Type-theoretical Grammar (Hardcover, New)
Series: Indices, 1
Expected to ship within 10 - 15 working days
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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 fields of inquiry where recourse to logical analysis and
logical methods has been fruitful. INDICES will contain monographs
dealing with the central areas of philosophical logic (extensional
and intensional systems, indexical logics, non-classical logics,
philosophy of logic, etc.) as well as studies in which these
systems are applied to specific issues in philosophy, in the formal
semantics of natural languages, the foundations of linguistic
theory, in computational linguistics, and in theoretical computer
science. Constructive type theory was first presented in 1970, by
the Swedish logician Per Martin-Lof. It has become one of the main
approaches used in the foundations of mathematics and computer
science. But it has remained relatively unknown among linguists and
philosophers, although it provides a considerable extension of the
concepts and techniques of logic. The book first gives 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. By 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. A categorial
grammar is presented togenerate formally a fragment of English,
together with an example of a computer implementation.
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