Logo

Predicative Arithmetic by Edward Nelson

Small book cover: Predicative Arithmetic

Predicative Arithmetic
by

Publisher: Princeton Univ Pr
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.

Home page url

Download or read it online for free here:
Download link
(5.3MB, PDF)

Similar books

Book cover: Introduction to Mathematical PhilosophyIntroduction to Mathematical Philosophy
by - University of Massachusetts Amherst
A very accessible mathematical classic. It sets forth in elementary form the logical definition of number, the analysis of the notion of order, the modern doctrine of the infinite, and the theory of descriptions and classes as symbolic fictions.
(11002 views)
Book cover: Notes on the Science of LogicNotes on the Science of Logic
by - 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.
(7257 views)
Book cover: What is Mathematics: Gödel's Theorem and AroundWhat is Mathematics: Gödel's Theorem and Around
by - University of Latvia
Textbook for students in mathematical logic and foundations of mathematics. Contents: Platonism, intuition and the nature of mathematics; Axiomatic Set Theory; First Order Arithmetic; Hilbert's Tenth Problem; Incompleteness Theorems; Godel's Theorem.
(3456 views)
Book cover: The Art of LogicThe Art of Logic
by - University of Pittsburgh
Contents: Grammar; The art of the logic of truth-functional connectives; Quantifier proofs; A modicum of set theory; Symbolizing English quantifiers; Quantifier semantics - interpretation and counterexample; Theories; Definitions.
(8890 views)