Logicism Renewed

Logical Foundations for Mathematics and Computer Science, Lecture Notes in Logic 23
1. Auflage 2005
ISBN: 978-1-56881-275-5
Verlag: Taylor & Francis

Buch, Englisch, 252 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 498 g

Reihe: Lecture Notes in Logic 23

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.

Autoren/Hrsg.

Gilmore, Paul C.

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik

Inhaltsverzeichnis

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

Über Autor(innen)

Paul C. Gilmore