MATHGarden
  • Walk 1: Set Theory |
  • Walk 2: Numbers
  • Walks
    • Walk 1: Set Theory
      • Unit 1: The Mathematical Universe
      • Unit 2: Unions and Intersections of Sets
      • Unit 3: Direct Products and Relations
      • Unit 4: Functions and Equivalent Sets
      • Unit 5: Families and the Axiom of Choice
      • Unit 6: Ordered Sets and the Lemma of Zorn
      • Unit 7: Successor Sets and the Axioms of Peano
      • Unit 8: Natural Numbers and the Principle of Induction
      • Unit 9: Well Ordered Sets
      • Unit 10: Ordinal Numbers
      • Unit 11: Cardinal Numbers
      • Unit 12: Cardinal Arithmetics
      • Unit 13: The Axiomatics of von Neumann, Bernays and Gödel
      • Unit 14: Literature about Set Theory
    • Walk 2: Numbers
      • Unit 1: Natural Numbers and the Principle of Induction
  • Mathematicians
    • Richard Dedekind
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Walk 2

Numbers

This walk is an introduction into the world of numbers. It explains

  • the set $\Bbb{N}$ of the natural numbers,
  • the set $\Bbb{Z}$ of the integers,
  • the set $\Bbb{Q}$ of the rational numbers,
  • the set $\Bbb{R}$ of the real numbers,
  • the set $\Bbb{C}$ of the complex numbers and
  • the set $\Bbb{H}$ of the quaternions.
  • UNIT
    Natural Numbers and the Principle of Induction
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