Set Theory 
 and  the 
Construction of Numbers 

Bob Andersen       

                     Chapter 1    Introduction                                                
Chapter 2    The Axioms
Chapter 3    Ordinal Numbers
Chapter 4     Cardinal Numbers
Chapter 5     Zorn's Lemma and Well ordering
Chapter 6     Arithmetic
Chapter 7     Integer and Rational Numbers
Chapter 8     Real Numbers
Chapter 9     Complex, Quaternion, and Octonian Numbers
Chapter 10     Transfinite and Infinitesimal Numbers
Chapter 11      Surreal Numbers
Appendix 1      The Continuum Hypotheses
Appendix 2      The Number 1
Appendix 3      Logic and Quantifiers
Index