Logicism Renewed

Logicism Renewed
Author :
Publisher : Cambridge University Press
Total Pages : 250
Release :
ISBN-10 : 9781108676939
ISBN-13 : 1108676936
Rating : 4/5 (39 Downloads)

Book Synopsis Logicism Renewed by : Paul C. Gilmore

Download or read book Logicism Renewed written by Paul C. Gilmore and published by Cambridge University Press. This book was released on 2017-03-30 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. 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 this volume, the twenty-third publication in the Lecture Notes in Logic series, Paul C. Gilmore revisits logicism in light of recent advances in mathematical logic and theoretical computer science. Gilmore addresses the need for languages which can be understood by both humans and computers and, using Intensional Type Theory (ITT), provides a unified basis for mathematics and computer science. This yields much simpler foundations for recursion theory and the semantics of computer programs than those currently provided by category theory.


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