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

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.
