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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
Unit 1: Finite Sets and their Cardinalities
Unit 2: WellOrdered Sets
Unit 3: Ordinal Numbers
Unit 4: Cardinal Numbers
Unit 5: Cardinal Arithmetic
Mathematicians
Richard Dedekind
Georg Cantor
Ernst Zermelo
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