Logicism Renewed

Logical Foundations for Mathematics and Computer Science, Lecture Notes in Logic 23

Paul C. Gilmore (Autor)

Buch | Hardcover

252 Seiten

2005
A K Peters (Verlag)
978-1-56881-275-5 (ISBN)

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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. 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.

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.

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

Erscheint lt. Verlag	18.11.2005
Verlagsort	Natick
Sprache	englisch
Maße	152 x 229 mm
Gewicht	498 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	1-56881-275-2 / 1568812752
ISBN-13	978-1-56881-275-5 / 9781568812755
Zustand	Neuware