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Propositional and Predicate Calculus: A Model of Argument

Authors: Goldrei, Derek

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eBook $44.99
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valid through March 31, 2020
  • ISBN 978-1-84628-229-4
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  • ebooks can be used on all reading devices
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Softcover $59.99
price for USA in USD
valid through March 31, 2020
  • ISBN 978-1-85233-921-0
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  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

Reviews

From the reviews of the first edition:

"The aim of the present book is to give an introduction to propositional and predicate calculus which can be very useful when studying mathematical logic and many other mathematical subjects. … The book is mainly conceived for the independent study of the students … but it can also be used for taught courses. It is to be mentioned that the book includes very interesting exercises, many of them possessing full solutions." (Marius Tarnauceanu, Zentralblatt MATH, Vol. 1082, 2006)


Table of contents (6 chapters)

Table of contents (6 chapters)
  • Introduction

    Pages 1-16

  • Propositions and Truth Assignments

    Pages 17-84

  • Formal Propositional Calculus

    Pages 85-132

  • Predicates and Models

    Pages 133-216

  • Formal Predicate Calculus

    Pages 217-264

Buy this book

eBook $44.99
price for USA in USD (gross)
valid through March 31, 2020
  • ISBN 978-1-84628-229-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
valid through March 31, 2020
  • ISBN 978-1-85233-921-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Propositional and Predicate Calculus: A Model of Argument
Authors
Copyright
2005
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-84628-229-4
DOI
10.1007/1-84628-229-2
Softcover ISBN
978-1-85233-921-0
Edition Number
1
Number of Pages
VIII, 315
Topics