Logicism Renewed: Logical Foundations for Mathematics and Computer Science, Lecture Notes in Logic 23, 1st Edition (Paperback) book cover

Logicism Renewed

Logical Foundations for Mathematics and Computer Science, Lecture Notes in Logic 23, 1st Edition

By Paul C. Gilmore

A K Peters/CRC Press

250 pages

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pub: 2005-11-18
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Description

Logicism, as put forward by Bertrand Russell, was predicated on a belief that all of mathematics can be deduced from a very small number of fundamental logical principles. In Logicism Renewed, the author revisits this concept in light of advances in mathematical logic and the need for languages that can be understood by both humans and computers that require distinguishing between the intension and extension of predicates. Using Intensional Type Theory (ITT) the author provides a unified foundation for mathematics and computer science, yielding a much simpler foundation for recursion theory and the semantics of computer programs than that currently provided by category theory.

Subject Categories

BISAC Subject Codes/Headings:
MAT028000
MATHEMATICS / Set Theory