Logicism Renewed : Logical Foundations for Mathematics and Computer Science, Lecture Notes in Logic 23
Book Details
Format
Paperback / Softback
ISBN-10
1568812760
ISBN-13
9781568812762
Publisher
Taylor & Francis Inc
Imprint
A K Peters
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Nov 18th, 2005
Print length
252 Pages
Weight
340 grams
Product Classification:
Mathematical logic
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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
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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