# A Set Theory Workbook

Textbook

1. Front Matter
Pages i-viii

Pages 3-4
3. ### Exercises

1. Front Matter
Pages 5-5
Pages 7-11
Pages 13-17
Pages 19-27
Pages 29-34
Pages 35-39
Pages 41-45
Pages 47-50
Pages 51-54
Pages 55-57
Pages 59-62
Pages 63-64
Pages 65-67
Pages 69-73

1. Front Matter
Pages 75-75
Pages 77-79
Pages 81-84
Pages 85-93
Pages 95-100
Pages 101-106
Pages 107-110
Pages 111-114
Pages 115-119
Pages 121-123
Pages 125-130
Pages 131-133
Pages 135-137
Pages 139-150
5. Back Matter
Pages 151-154

### Introduction

This book is a companion to A general topology workbook published by Birkhiiuser last year. In an ideal world the order of publication would have been reversed, for the notation and some of the results of the present book are used in the topology book and on the other hand (the reader may be assured) no topology is used here. Both books share the word Workbook in their titles. They are based on the principle that for at least some branches of mathematics a good way for a student to learn is to be presented with a clear statement of the definitions of the terms with which the subject is concerned and then to be faced with a collection of problems involving the terms just defined. In adopting this approach with my Dundee students of set theory and general topology I found it best not to differentiate too precisely between simple illustrative examples, easy exercises and results which in conventional textbooks would be labelled as Theorems.

### Keywords

Arithmetic Equivalence Finite Mathematics Set Theory axiom of choice cardinals function ksa ordinal well-ordering principle