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

How to use principle of mathematical induction in a sentence

But the qualities Mario Cuomo brought to public life—compassion, integrity, commitment to principle—remain in short supply today.
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Nixon said defending the two islands was “a matter of principle.”
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The Dallas Cowboys sell out their state-of-the art football stadium.
Will Texas Stay Texan?|David Fontana|December 29, 2014|DAILY BEAST
We happily hoist our egg nog in the air, embrace each other, and raise our out-of-tune voices in song.
The Most Confusing Christmas Music Lyrics Explained (VIDEO)|Kevin Fallon|December 24, 2014|DAILY BEAST

Induction would be a fitting gesture, even now when the honor would be posthumous.
The Greatest Rock Voice of All Time Belonged to Joe Cocker|Ted Gioia|December 23, 2014|DAILY BEAST
Many so-called "humming tones" are given for practice, but in accepting them observe whether the foregoing principle is obeyed.
Expressive Voice Culture|Jessie Eldridge Southwick
A second main division of our schooling was mathematical instruction of a sort.
The Salvaging Of Civilisation|H. G. (Herbert George) Wells
You never know when you are going to stumble upon a jewel in the most out-of-the-way corner.
Music-Study in Germany|Amy Fay
The grand thing is to have each of your five fingers go "dum, dum," an equal number of times, which is the principle of all three!
Music-Study in Germany|Amy Fay
But Lessard's a overbearin' son-of-a-gun all round, and he's always breakin' out in a new place.
Raw Gold|Bertrand W. Sinclair