Walk 1
Set Theory
This walk is an introduction into the theory of sets. It explains the axiomatics of Zermolo and Fraenkel and introduces into the cardinality of sets. It ends with the axiomatics of von Neumann, Bernays and Gödel.
- UNIT
The Mathematical Universe - UNIT
Unions and Intersections of Sets - UNIT
Direct Products and Relations - UNIT
Functions and Equivalent Sets - UNIT
Families and the Axiom of Choice - UNIT
Ordered Sets and the Lemma of Zorn - UNIT
Successor Sets and the Axioms of Peano - UNIT
Natural Numbers and the Principle of Induction - UNIT
Well Ordered Sets - UNIT
Ordinal Numbers - UNIT
Cardinal Numbers - UNIT
Cardinal Arithmetics - UNIT
The Axiomatics of von Neumann, Bernays and Gödel - UNIT
Literature about Set Theory