Set theory and the construction of numbers

Andersen R.

Modem mathematics is couched in the language and steeped in the theory of sets. Sets are the heart and soul of mathematics. Sets should be well understood by any serious student of the subject. What we attempt to do hero is to present the Zermelo Fraenkel Axioms for Set Theory and develop a model for those axioms. We call this model the number model, as our usual concept of numbers is a consequence of this model.