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Unformatted text preview: you, included with indexed families of sets (see 2.3.6, 2.3.8). (III) Proofs (60%). Proofs you should be able to do are similar to proofs assigned as home-work. Know the dierence between the proof of a for every statement, which starts by making an arbitrary choice, and a there exists statement, where you start with scratch work to nd the answer. Know the dierence between direct proof, indirect proof, and proof by contradiction. Types of proofs: (a) Set containment or equality (see 3.1.8, 3.2.3, 3.3.2) (b) Logical equivalences (see 1.5.5, 2.2.7, 3.2.2) (c) Equalities or inequalities with real numbers (see 3.1.12, 3.2.7, 3.3.6) (d) Parity or divisibility of integers (see 3.3.18; also see the proof in lecture notes that an integer n is even if and only if n 2 is even.) 1...
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This note was uploaded on 04/04/2010 for the course MAT 300 taught by Professor Thieme during the Spring '07 term at ASU.
- Spring '07