Peano postulates

Positive-integer axiomatic theory has postulates {Peano's postulates} {Peano postulates} {Dedekind-Peano postulates}. "One" is a number. The number "one" is not any number's successor. A number successor is a number. No two numbers have same successor. If "one" has property and if number successor has property, all numbers have property {induction postulate, Peano}.

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