The Kerala school made intuitive use of mathematical induction, though the inductive hypothesis was not yet formulated or employed in proofs.
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Polya begins Volume I with a discussion on induction, not the mathematical induction, as a way of guessing new results.
33.
As part of this effort, he made key contributions to the modern rigorous and systematic treatment of the method of mathematical induction.
34.
Another application of such chain conditions is in Noetherian induction also known as well-founded induction which is a generalization of mathematical induction.
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Later I have to prove the conjecture using mathematical induction . Preceding talk ) 02 : 07, 15 August 2009 ( UTC)
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"' Mathematical induction "'is a mathematical proof technique used to prove a given statement about any well-ordered set.
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Continuing in this fashion, an infinite simple path can be constructed using mathematical induction and a weak version of the axiom of dependent choice.
38.
Just as standard mathematical induction is equivalent to the well-ordering principle, structural induction is also equivalent to a well-ordering principle.
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Then induction on " S " is the usual mathematical induction, and recursion on " S " gives primitive recursion.
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:There are some special techniques like proof by contradiction and mathematical induction, it will certainly be helpful to know what they are about.
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