The Natural Numbers and the Principle of Induction
This unit introduces the natural numbers in the context of the axiomatics of Zermelo and Fraenkel.
- Walks
- Walk 1: About the Mathematical Garden
- Unit 1: What are Walks and Units?
- Unit 2: ALSO INTERESTING
- Unit 3: SEARCH FUNCTION in the Mathematical Garden
- Unit 4: Existing Walks
- Walk 2: The Axioms of Zermelo and Fraenkel
- Unit 1: Introduction into the Axiomatics of Zermelo and Fraenkel
- Unit 2: The Mathematical Universe
- Unit 3: Unions and Intersections of Sets
- Unit 4: Direct Products and Relations
- Unit 5: Functions and Equivalent Sets
- Unit 6: Families and the Axiom of Choice
- Unit 7: Ordered Sets and the Lemma of Zorn
- Unit 8: Successor Sets and the Axioms of Peano
- Unit 9: The Natural Numbers and the Principle of Induction
- Walk 3: The Cardinality of Sets
- Mathematicians
- Service
- Links