MATH 1P66 Lecture Notes - Lecture 1: Propositional Variable, The Foundations, Truth Table
13 Oct 2018
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Mid term test (sat oct 20 1:00-3:00pm) 40% Definition: a proposition is a declarative sentence that is either true or false, but not both. 1- winnipeg is the capital of canada (false declarative sentence therefore proposition) 2- everest is the tallest mountain in the world. 2- do not drive faster than 100 km/h. 3- x+2=10 (can be both true and false therefore not proposition) Negation of p is denoted by >p not p . Tp: winnipeg is not the capital of canada p t f. The conjunction of p and q, denoted by p^q, is the proposition p and q . Q: nancy can speak english p^q: nancy can speak both french and english. Disjunction of p and q, denoted by pvq, is the proposition p or q . Pvq is true if at least one of p or q is true p. Pvq: nancy can speak french or she can speak english (or both)
