$MATHGarden$

Unit: Unions and Intersections of Sets |
Introduction |
The Axiom of Pairing |
Unions of Sets |
Intersections of Sets |
The Complement of a Set |
The Power Set of a Set |
The Axiom of Foundation |
Notes and References |
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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: Well-Ordered Sets
Unit 3: Ordinal Numbers
Unit 4: Cardinal Numbers
Unit 5: Cardinal Arithmetic

Mathematicians

Richard Dedekind
Georg Cantor
Ernst Zermelo

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$Unions and Intersections of Sets$

Unions and Intersections of Sets