Paul C. Gilmore
Logicism Renewed
Logical Foundations for Mathematics and Computer Science, Lecture Notes in Logic 23
Gebonden Engels 2005 1e druk 9781568812755Levertijd ongeveer 11 werkdagen
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Samenvatting
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.
Specificaties
ISBN13:9781568812755
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:252
Uitgever:CRC Press
Druk:1
Thema:
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