**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 Haskell Road to Logic, Maths and Programming**

by

**Kees Doets, Jan van Eijck**-

**College Publications**

The purpose of this book is to teach logic and mathematical reasoning in practice, and to connect logical reasoning with computer programming. The programming language that will be our tool for this is Haskell, a member of the Lisp family.

(

**12000**views)

**Introduction to Mathematical Logic: A problem solving course**

by

**Arnold W. Miller**-

**arXiv**

This is a set of questions written for a course in Mathematical Logic. Topics covered are: propositional logic; axioms of ZFC; wellorderings and equivalents of AC; ordinal and cardinal arithmetic; first order logic, and the compactness theorem; etc.

(

**8958**views)

**The Art of Logic**

by

**Nuel Belnap**-

**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.

(

**7916**views)

**Symbolic Logic: A First Course**

by

**Gary Hardegree**-

**Mcgraw-Hill College**

Contents: Basic Concepts of Logic; Truth-Functional Connectives; Validity in Sentential Logic; Translations in Sentential Logic; Derivations in Sentential Logic; Translations in Monadic Predicate Logic; Translations in Polyadic Predicate Logic; etc.

(

**8491**views)