Logicism Renewed: Logical Foundations for Mathematics And Computer Science, Lecture Notes in Logic, 23

Paul C. Gilmore

ISBN 10: 1568812752 / ISBN 13: 9781568812755

Published by A K Peters/CRC Press, 2005

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Bibliographic Details

• Title: Logicism Renewed: Logical Foundations for Mathematics And Computer Science, Lecture Notes in Logic, 23
• Publisher: A K Peters/CRC Press
• Publication Date: 2005
• Language: English
• ISBN 10: 1568812752
• ISBN 13: 9781568812755
• Binding: hardcover
• Condition: New
• Book Type: book

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Synopsis

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.

About the Author

Paul C. Gilmore