John L. Bell Higher-Order Logic and Type Theory (Paperback) (UK IMPORT)

Further DetailsTitle: Higher-Order Logic and Type TheoryCondition: NewEAN: 9781108986908ISBN: 9781108986908Publisher: Cambridge University PressFormat: PaperbackRelease Date: 03/31/2022Description: This Element is an exposition of second- and higher-order logic and type theory. It begins with a presentation of the syntax and semantics of classical second-order logic, pointing up the contrasts with first-order logic. This leads to a discussion of higher-order logic based on the concept of a type. The second Section contains an account of the origins and nature of type theory, and its relationship to set theory. Section 3 introduces Local Set Theory (also known as higher-order intuitionistic logic), an important form of type theory based on intuitionistic logic. In Section 4 number of contemporary forms of type theory are described, all of which are based on the so-called 'doctrine of propositions as types'. We conclude with an Appendix in which the semantics for Local Set Theory - based on category theory - is outlined.Language: EnglishCountry/Region of Manufacture: GBItem Height: 229mmItem Length: 152mmItem Width: 5mmItem Weight: 131gAuthor: John L. BellGenre: Science Nature & MathBook Series: Elements in Philosophy and LogicTopic: Philosophy & SpiritualityRelease Year: 2022

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