释义 |
Peano's Axioms- 1. Zero is a number.
- 2. If
is a number, the successor of is a number. - 3. Zero is not the successor of a number.
- 4. Two numbers of which the successors are equal are themselves equal.
- 5. (Induction Axiom.) If a set
of numbers contains Zero and also the successor of every number in , then every number is in . Peano's axioms are the basis for the version of Number Theory known as Peano Arithmetic.See also Induction Axiom, Peano Arithmetic
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