Elements of Logic via Numbers and Sets

✍ Scribed by D. L. Johnson BSc, MSc, PhD (auth.)

• Publisher: Springer-Verlag London
• Year: 1998
• Tongue: English
• Leaves: 178
• Series: Springer Undergraduate Mathematics Series
• Edition: 1
• Category: Library

✦ Synopsis

In mathematics we are interested in why a particular formula is true. Intuition and statistical evidence are insufficient, so we need to construct a formal logical proof. The purpose of this book is to describe why such proofs are important, what they are made of, how to recognize valid ones, how to distinguish different kinds, and how to construct them. This book is written for 1st year students with no previous experience of formulating proofs. Dave Johnson has drawn from his considerable experience to provide a text that concentrates on the most important elements of the subject using clear, simple explanations that require no background knowledge of logic. It gives many useful examples and problems, many with fully-worked solutions at the end of the book. In addition to a comprehensive index, there is also a useful `Dramatis Personae` an index to the many symbols introduced in the text, most of which will be new to students and which will be used throughout their degree programme.

✦ Table of Contents

Front Matter....Pages i-x
Numbers....Pages 1-33
Logic....Pages 35-51
Sets....Pages 53-70
Relations....Pages 71-88
Maps....Pages 89-111
Cardinal Numbers....Pages 113-130
Back Matter....Pages 131-174

✦ Subjects

Mathematical Logic and Foundations; Mathematics, general; Number Theory