MATHGarden

$MATHGarden$

Walk 1

About the Mathematical Garden

What are Walks and Units?

ALSO INTERESTING

SEARCH FUNCTION in the Mathematical Garden

Walk 2

The Axioms of Zermelo and Fraenkel

Introduction into the Axiomatics of Zermelo and Fraenkel

The Mathematical Universe

Unions and Intersections of Sets

Direct Products and Relations

Functions and Equivalent Sets

Families and the Axiom of Choice

Ordered Sets and the Lemma of Zorn

Successor Sets and the Axioms of Peano

The Natural Numbers and the Principle of Induction

Walk 3

The Cardinality of Sets

Finite Sets and their Cardinalities

Well-Ordered Sets

Ordinal Numbers

Cardinal Numbers

Cardinal Arithmetic

Mathematicians

Richard Dedekind

Textbooks

Links