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# principle of mathematical induction

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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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## Words nearby principle of mathematical induction

principled, principle of complementarity, principle of economy, principle of indifference, principle of least action, principle of mathematical induction, principle of superposition, principle of virtual work, princox, prink, print

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