Abstract
Abstract
‘Induction’ is a term which means one thing in the context of mathematics and quite another in the context of philosophy. In mathematics, induction is a familiar (and highly useful) method of proof. To show that a conjecture, C (n), holds for all natural numbers, it suffices to show that it holds for C (1)—the so-called base step—and that if it holds for C (m) then it holds for C (m + 1)—the induction step. Mathematical induction of this sort is straightforwardly deductive.
Publisher
Oxford University PressOxford
Cited by
2 articles.
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1. Non-deductive Justification in Mathematics;Handbook of the History and Philosophy of Mathematical Practice;2023
2. The Role of Experiments in Experimental Mathematics;Handbook of the History and Philosophy of Mathematical Practice;2023