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Outline 1 Propositions 2 Logical Equivalences 3 Normal Forms Richard Mayr (University of Edinburgh, UK) Discrete Mathematics. Chapter 1.1-1.3 2 / 21 The Argument We can express the premises (above the line) and the conclusion (below the line) in predicate logic as an argument: We will see shortly that this is a valid argument. 3. 0. Two or more equations impossible to satisfy by any one set of values for the variables (Ex.: x + y = 1 and x + y = 2) noun. 3. 0.