mathematical induction

noun

induction (def. 5).

Origin of mathematical induction

First recorded in 1830–40

Words Nearby mathematical induction

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

How to use mathematical induction in a sentence

We can ascend only by mathematical induction, which alone can teach us something new.
The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method | Henri Poincar
This mode of reasoning is none the less a true mathematical induction which differs from ordinary induction only by its certitude.
The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method | Henri Poincar
To all such numbers, proofs by mathematical induction can be validly applied.
Our Knowledge of the External World as a Field for Scientific Method in Philosophy | Bertrand Russell
It may be noticed that (iv) is the familar principle of mathematical induction.
Encyclopaedia Britannica, 11th Edition, Volume 17, Slice 7 | Various
This is the principle of what is called “mathematical induction.”
Our Knowledge of the External World as a Field for Scientific Method in Philosophy | Bertrand Russell

Cultural definitions for mathematical induction

mathematical induction

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.

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