At the heart of the justification for the reasoning used in modern mathematics lies the completeness theorem for predicate calculus. This unique textbook covers two entirely different ways of looking at such reasoning. Topics include:

- the representation of mathematical statements by formulas in a formal language;

- the interpretation of formulas as true or false in a mathematical structure;

- logical consequence of one formula from others;

- the soundness and completeness theorems connecting logical consequence and formal proof;

- the axiomatization of some mathematical theories using a formal language;

- the compactness theorem and an introduction to model theory.

This book is designed for self-study, as well as for taught courses, using principles successfully developed by the Open University and used across the world. It includes exercises embedded within the text with full solutions to many of these. Some experience of axiom-based mathematics is required but no previous experience of logic.

From the Back Cover

- the representation of mathematical statements by formulas in a formal language;

- the interpretation of formulas as true or false in a mathematical structure;

- logical consequence of one formula from others;

- formal proof;

- the soundness and completeness theorems connecting logical consequence and formal proof;

- the axiomatization of some mathematical theories using a formal language;

- the compactness theorem and an introduction to model theory.

This book is designed for self-study by students, as well as for taught courses, using principles successfully developed by the Open University and used across the world. It includes exercises embedded within the text with full solutions to many of these. In addition there are a number of exercises without answers so that students studying under the guidance of a tutor may be assessed on the basis of what has been taught.

Some experience of axiom-based mathematics is required but no previous experience of logic. Propositional and Predicate Calculus gives students the basis for further study of mathematical logic and the use of formal languages in other subjects.

Derek Goldrei is Senior Lecturer and Staff Tutor at the Open University and part-time Lecturer in Mathematics at Mansfield College, Oxford, UK.

"About this title" may belong to another edition of this title.

Store Description

The Saint Bookstore has a range of over 1 million titles available.

Visit Seller's Storefront

Seller's business information

SB ONLINE LTD
50 Devonshire Road, Southport, PR9 7BZ, United Kingdom

Sale & Shipping Terms

Terms of Sale

Please order through the Abebooks checkout. We only take orders through Abebooks - We don't take direct orders by email or phone.

Refunds or Returns: A full refund of the purchase price will be given if returned within 30 days in undamaged condition.

As a seller on abebooks we adhere to the terms explained at http://www.abebooks.co.uk/docs/HelpCentral/buyerIndex.shtml - if you require further assistance please email us at orders@thesaintbookstore.co.uk

Right of cancellation

Shipping Terms

Most orders usually ship within 1-3 business days, but some can take up to 7 days.

Shipping rates within United Kingdom

Shipping rates within United Kingdom
Order quantity	1 to 6 business days	1 to 6 business days
First item	� 0.00	� 0.00

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.