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Methods of Proofs - Florida State University

www.math.fsu.edu

Methods of Proofs 1. Logical Arguments and Formal Proofs 1.1. Basic Terminology. An axiom is a statement that is given to be true. A rule of inference is a logical rule that is used to deduce one statement from others. A theorem is a proposition that can be proved using de nitions, axioms, other theorems, and rules of inference. Discussion

  Methods, Proof, Methods of proofs

Methods of proof

www.cse.msu.edu

Methods of proof Section 1.6 & 1.7 MSU/CSE 260 Fall 2009 2 Proof Methods Direct Direct Contrapositive Contradiction pc p→c ¬ p ∨c ¬ c →¬ pp ∧¬ c TT T T T F T F F F F T FT T T T F FF T T T F MSU/CSE 260 Fall 2009 3 How are these questions related? 1. Does p logically imply c ? 2. Is the proposition (p →c) a tautology? 3.

  Methods, Proof, Methods of proofs

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