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Quotation from Science and Hypothesis by Henri Poincare

“Mathematical induction — i.e., proof by recurrence — is, on the contrary, necessarily imposed on us, because it is only the affirmation of a property of the mind itself.”

Henri Poincare

Science and Hypothesis, Part I, Ch. I, trans. W. J. Greenstreet

Portrait of Henri Poincare

Contrasting mathematical induction with the always uncertain induction of the physical sciences.

Citation: "Mathematical induction — i.e., proof by recurrence — is, on the contrary, necessarily imposed on us, because it is only the affirmation of a property of the mind itself." — Henri Poincare, Science and Hypothesis, Part I, Ch. I, trans. W. J. Greenstreet. (id poincare-science-and-hypothesis-q3)

Portrait: Henri Poincaré, PA03199, Henri Manuel, Public domain.

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Quote card: Mathematical induction — i.e., proof by recurrence — is, on the contrary, necess