The fifth of Peano's axioms, which states: If a set of numbers contains zero and also the successor of every number in , then every number is in .

# Induction Axiom

## See also

Peano's Axioms## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Induction Axiom."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/InductionAxiom.html