Combining Philosophers

Ideas for Lynch,MP/Glasgow,JM, Jos L. Zalabardo and Donald Davidson

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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction

10891	If a set is defined by induction, then proof by induction can be applied to it [Zalabardo]
	Full Idea: Defining a set by induction enables us to use the method of proof by induction to establish that all the elements of the set have a certain property.
	From: José L. Zalabardo (Introduction to the Theory of Logic [2000], §2.3)