Logic of Arithmetic

Walter Felscher

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Hardback

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English

Taylor & Francis Ltd
30 May 2000

Mathematical logic; Set theory

For propositional logic it can be decided whether a formula has a deduction from a finite set of other formulas. This volume begins with a method to decide this for the quantified formulas of those fragments of arithmetic which

express the properties of order-plus-successor and of order-plus-addition (Pressburger arithmetic). It makes use of an algorithm eliminating quantifiers which, in turn, is also applied to obtain consistency proofs for these fragments.

By: Walter Felscher
Imprint: Taylor & Francis Ltd
Country of Publication: United Kingdom
Dimensions: Height: 229mm, Width: 152mm, Spine: 25mm
Weight: 689g
ISBN: 9789056992682
ISBN 10: 9056992686
Pages: 312
Publication Date: 30 May 2000
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

1. Consistency, Decidability, Completeness for the Arithmetic of Order with Successor 2. Consistency, Decidability, Completeness for the Arithmetic of Addition and Order 3. Antinomies, Pseudomenos, and Their Analysis 4. Undefinability and Incompleteness, General Theory 5.Elementary and Primitive Recursive Functions 6. Recursive Relations and Recursive Functions 7. The Arithmitization of Syntax 8. Consequences of Arithmetization 9. Axioms for Arithmetic 10. Peano Arithmetic PA and Its Expansion PR 11. Unprovability of Consistency

Felscher, Walter