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单词 Peano's Axioms
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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