Fundamental number sets

Fundamental number sets

• Natural numbers

  • counting

  • tally counting system

  • with or without zero

  • Peano axioms

  • Cardinal

  • Ordinal

  • Natural number operations

    • successor

    • predecessor

• Integers

  • Parity

    • even

    • odd

  • Composition

    • prime

    • composite

    • non-prime and non-composite (0, 1)

  • Signedness

    • positive

    • zero

    • negative

    • negative, positive, zero

    • non-negative (zero, positive)

    • non-positive (zero, negative)

  • Integer operations

    • division

• Rational numbers

  • Irrational

• Real numbers

  • Transcendental

• Complex numbers

  • Imaginary number

  • Algebraic number

  • Irrational number

  • Transcendental number

  • Constructible number

  • Computable number