Higher-Order Logic and Type Theory (Paperback, New Ed)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Elements in Philosophy and Logic
Release date:	March 2022
Authors:	John L. Bell
Dimensions:	229 x 152 x 5mm (L x W x T)
Format:	Paperback - Trade
Pages:	75
Edition:	New Ed
ISBN-13:	978-1-108-98690-8
Categories:	Books > Humanities > Philosophy > Topics in philosophy > Logic Books > Science & Mathematics > Mathematics > Mathematical foundations > Set theory Books > Philosophy > Topics in philosophy > Logic
LSN:	1-108-98690-0
Barcode:	9781108986908

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