Predicative Arithmetic
by Edward Nelson
Publisher: Princeton Univ Pr 1987
ISBN/ASIN: 0691084556
ISBN-13: 9780691084558
Number of pages: 201
Description:
The book is based on lecture notes of a course given at Princeton University in 1980. From the contents: the impredicativity of induction, the axioms of arithmetic, order, induction by relativization, the bounded least number principle, Euclidean algorithm, encoding, sets and functions, and more.
Download or read it online for free here:
Download link
(5.3MB, PDF)
Similar books
The Principles Of Mathematicsby Bertrand Russell - W. W. Norton & Company
Russell's classic sets forth his landmark thesis that mathematics and logic are identical -- that what is called mathematics is simply later deductions from logical premises. His ideas have had a profound influence on the foundations of mathematics.
(14081 views)
Logic for Computer Science- Wikibooks
This book provides a survey of mathematical logic and its various applications. After covering basic material of propositional logic and first-order logic, the course presents the foundations of finite model theory and descriptive complexity.
(10308 views)
Symbolic Logic: A Second Courseby Gary Hardegree - UMass Amherst
Contents: Summary; Translations in Function Logic; Derivations in Function Logic; Translations in Identity Logic; Extra Material on Identity Logic; Derivations in Identity Logic; Translations in Description Logic; Derivations in Description Logic.
(13939 views)
Intuitionistic Logicby Nick Bezhanishvili, Dick de Jongh - Universiteit van Amsterdam
In this course we give an introduction to intuitionistic logic. We concentrate on the propositional calculus mostly, make some minor excursions to the predicate calculus and to the use of intuitionistic logic in intuitionistic formal systems.
(14003 views)