Logicism Renewed: Logical Foundations for Mathematics and Computer Science, Lecture Notes in Logic 23
Author:   Paul C. Gilmore
Publisher:   Taylor & Francis Inc
Volume:   No. 23
ISBN:  

9781568812762


Pages:   252
Publication Date:   18 November 2005
Format:   Paperback
Availability:   In Print   Availability explained
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Logicism Renewed: Logical Foundations for Mathematics and Computer Science, Lecture Notes in Logic 23


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Overview

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.

Full Product Details

Author:   Paul C. Gilmore
Publisher:   Taylor & Francis Inc
Imprint:   A K Peters
Volume:   No. 23
Weight:   0.340kg
ISBN:  

9781568812762


ISBN 10:   1568812760
Pages:   252
Publication Date:   18 November 2005
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Preface, Chapter 1: Elementary Logic, Chapter 2: Type Theory, Chapter 3: An Intensional Type Theory, Chapter 4: Recursions, Chapter 5: Choice and Function Terms, Chapter 6: Intuitionist Logic, Chapter 7: Logic and Mathematics, Chapter 8: Logic and Computer Science, References, Index

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Author Information

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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