mathematical induction

noun

A method of proof in which a statement is proved for one step in a process, and it is shown that if the statement holds for that step, it holds for the next.

First recorded in 1830–40

We can ascend only by mathematical induction, which alone can teach us something new.

This mode of reasoning is none the less a true mathematical induction which differs from ordinary induction only by its certitude.

To all such numbers, proofs by mathematical induction can be validly applied.

It may be noticed that (iv) is the familar principle of mathematical induction.

This is the principle of what is called “mathematical induction.”

April 18, 2024petrichor

[pet-ri-kawr]

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