9781568812762: Logicism Renewed

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.

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À propos de l'auteur

Paul Gilmore is professor emeritus in the Computer Science department at the University of British Columbia. His research interests include Logical Foundations of Mathematics and Computer Science, Applications of Logic in Computer Science, and Databases.

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Autres éditions populaires du même titre

9781568812755: Logicism Renewed: Logical Foundations for Mathematics And Computer Science

Edition présentée

ISBN 10 :  1568812752 ISBN 13 :  9781568812755
Editeur : A K Peters, 2005
Couverture rigide