Set Theory

This section covers set theory, in particular ZFC set theory, and constructs the foundations of mathematics from 11 axioms. Topics include basic properties of sets, functions and relations, ordinal and cardinal numbers, and ends with the construction of rational and real numbers.

Table of Contents

  • Fundamental Concepts
    • Logic
    • Sets
      • Definition
      • Empty Set
      • Infinite Sets
    • Set operations
      • Subsets
      • Powersets
      • Unions
      • Intersections
      • Ordered pairs
    • Relations
    • Functions

Axioms

Numbers, integers,