# principle of mathematical induction

### noun Mathematics.

a law in set theory which states that if a set is a subset of the set of all positive integers and contains 1, and if for each number in the given set the succeeding natural number is in the set, then the given set is identical to the set of all positive integers.Compare induction(def 5).

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## Nearby words

- principle,
- principle of complementarity,
- principle of economy,
- principle of indifference,
- principle of least action,
- principle of superposition,
- principle of virtual work,
- principled,
- princox,
- pringle's disease

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019