Viewing topic: Peano's Axioms

See sub-topics for Peano's Axioms ... >> Mathematics >> Mathematical Analysis >> Peano's Axioms

Highest Rated Sign

No video has been submitted for this term

Nobody has posted a sign yet.

Peano's Axioms

  • Definition: 1. Zero is a number. 2. If a is a number, the successor of a 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 S of numbers contains zero and also the successor of every number in S, then every number is in S. Peano's axioms are the basis for the version of number theory known as Peano arithmetic.


  • There are no comments for this topic.