MATH 1P66 Lecture Notes - Lecture 1: Contraposition, Propositional Variable, Truth Table

• School: Brock University
• Department: Mathematics and Statistics
• Course: MATH 1P66
• Professor: Basil

Document Summary

A proposition: a declarative sentence that is either true or false, but not both. Examples: winnipeg is the capital of canada false. Everest is the tallest mountain in the world. Do not drive faster than 100 km/h. x+2=10. P = a propositional variable p: winnipeg is the capital of canada: negation. Negation of p is denoted by not p , or p. P: winnipeg is not the capital of canada. Let p and q be propositions, the conjunction of p and q is denoted by p and q , or p^q p: nancy can speak french q: nancy can speak english p^q: nancy can speak both english and french. An implication is false only in the case when the hypothesis is true, but the conclusion is false. In all the other cases the implication is true. If you get 95% or higher in math1p66, then we will buy you a car.