Propositional and Predicate Calculus: A Model of Argument - Softcover

Goldrei, Derek

Softcover

ISBN 10: 1852339217 ISBN 13: 9781852339210

Verlag: Springer, 2005

Inhaltsangabe

Designed specifically for guided independent study.

Features a wealth of worked examples and exercises, many with full teaching solutions, that encourage active participation in the development of the material.

It focuses on core material and provides a solid foundation for further study.

Über diesen Titel

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.

Von der hinteren Coverseite

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;

- 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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2005
• Sprache: Englisch
• ISBN 10: 1852339217
• ISBN 13: 9781852339210
• Einband: Tapa blanda
• Anzahl der Seiten: 324
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar