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
Notes on the Science of Logicby Nuel Belnap - University of Pittsburgh
This course assumes you know how to use truth functions and quantifiers as tools. Our task here is to study these very tools. Contents: logic of truth functional connectives; first order logic of extensional predicates, operators, and quantifiers.
(12982 views)
Formal Logic- Wikibooks
An undergraduate college level textbook covering first order predicate logic with identity but omitting metalogical proofs. The first rules of formal logic were written over 2300 years ago by Aristotle and are still vital.
(16937 views)
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.
(16348 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.
(16540 views)