Proving Mathematical Induction is CorrectDate: 08/31/2001 at 06:46:52 From: Soh Irene Subject: How to prove that mathematical induction is correct? Hi, I have being trying to prove that mathematical induction is correct. I know that I can use proof by contradiction, but I do not know how to start. Irene Date: 08/31/2001 at 08:13:36 From: Doctor Jerry Subject: Re: How to prove that mathematical induction is correct? Hi Soh Irene, If I understand what you have said, then I think that the best reply I can make to you is that in many approaches to mathematics in which mathematical induction is used as a proof technique, there is an axiom guaranteeing this technique. Sometimes the axiom is stated this way: The set N = {1,2,3,...} of natural numbers has the following property: If M is a subset of N for which 1 is in M and n+1 is in M whenever m is in M, then M = N. Proof by mathematical induction is based on this axiom. - Doctor Jerry, The Math Forum http://mathforum.org/dr.math/ |
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