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You are not logged in. #1 20091008 02:25:55
Equal positive integersTheorem: All positive integers are equal. #2 20091008 02:47:42
Re: Equal positive integersHi Bladito;
One problem is right there, you can't assume that. You can't find any k where that is true to start the inductive process. For any value of k > 1, I will always have the counterexample Max( A = k, B = k1) = k for k >1, clearly A > B. This holds for all k > 1. In other words the theorem doesn't hold for 2,3,4,5 ... Max(A,B) = k does not imply A = B = k. Last edited by bobbym (20091008 02:54:13) In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #3 20091008 07:34:16
Re: Equal positive integers
The statement is true when k=1 as Bladito has stated. You seem to agree. 