Number systems/Axiomatic development

From Mathematics

This page contains an extensive list of topics, axioms, definitions, and theorems in the topic of number systems.

1. Natural numbers
   1. Peano axioms
   2. Peano arithmetic
      1. Addition
         1. Identity
         2. Commutative property
         3. Associative property
      2. Multiplication
         1. Distributive property
         2. Identity
         3. Commutative property
         4. Associative property
2. Integers
3. Rational numbers
4. Real numbers
   1. Cauchy sequences