Contents

pp vii-ix

Preface

pp x-xx

Part One - Preliminaries

pp 1-2

1 - The Idea of Foundations for Mathematics

pp 3-16

2 - Simple Arithmetic

pp 17-64

Part Two - Basic Set Theory

pp 65-66

3 - Semantics, Ontology, and Logic

pp 67-110

4 - The Principal Axioms and Definitions of Set Theory

pp 111-150

Part Three - Cantorian Set Theory

pp 151-152

5 - Cantorian Finitism

pp 153-190

6 - The Axiomatic Method

pp 191-236

7 - Axiomatic Set Theory

pp 237-258

Part Four - Euclidean Set Theory

pp 259-260

8 - Euclidean Finitism

pp 261-299

9 - The Euclidean Theory of Cardinality

pp 300-324

10 - The Euclidean Theory of Simply Infinite Systems

pp 325-368

11 - Euclidean Set Theory from the Cantorian Standpoint

pp 369-380

12 - Envoi

pp 381-395

Appendix 1 - Conceptual Notation

pp 396-410

Appendix 2 - The Rank of a Set

pp 411-414

Bibliography

pp 415-420

Index

pp 421-424