hw3b - the thing youre trying to prove. or the theorems...

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Introduction to Mathematical Reasoning Fall 2009 Assignment #3: Due Wednesday, 10/21/09 Part II: 1. Prove each of the following theorems from the handout The Real Numbers and the Integers . Each proof should be a two-column proof like the ones we’ve been doing in class. As far as possible, try to limit each step to one single justiFcation. Be careful to avoid the “high-school algebra fallacy”—creating a circular argument by assuming
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Unformatted text preview: the thing youre trying to prove. or the theorems that include two conclusions (such as 3(d) and 4(a)), prove the Frst one onlyfor example, in 3(d), you only need to prove that (-a ) b =-( ab ). Theorem 3(b). Theorem 3(c). Theorem 3(d) (Frst equation only). Theorem 4(a) (Frst equation only). Theorem 4(d). Theorem 5(b)....
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This note was uploaded on 12/08/2009 for the course MATH 300 taught by Professor Staff during the Spring '08 term at University of Washington.

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