**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

**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.

(

**10593**views)

**Logic For Everyone**

by

**Robert A. Herrmann**

This is Robert Herrmann's elementary book in mathematical logic that includes all basic material in the predicate and propositional calculus presented in a unique manner. Neither proof requires specialized mathematical procedures.

(

**12705**views)

**Lectures on Linear Logic**

by

**A. S. Troelstra**-

**CSLI**

This text deals with logical formalism, cut-elimination, the embedding of intuitionistic logic in classical linear logic, proofnets for the multiplicative fragment and the algorithmic interpretation of cut-elimination in proofnets.

(

**9078**views)

**What is Mathematics: Gödel's Theorem and Around**

by

**Karlis Podnieks**-

**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.

(

**3887**views)