MATH 1P66 Lecture Notes - Lecture 1: Contraposition, If And Only If, Propositional Variable

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

Document Summary

Midterm test 40% - october 20 th 1:00 - 3:00 pm. Textbook: discrete mathematics and its applications by rosen (8 th edition) Definition: a proposition is a declarative sentence that is either true or false but not both. X can be anything since x could possibly be -1, 0, 1 because it is undefined. If x was defined, then it wouldn"t be a non-examples. P: st. catherines is the capital of canada. Once you have a proposition, you can create its negation. If p is a proposition, its negation is denoted by p, not p . P = st. catherines is not the capital of canada p. Let p and q be proposition, then the proposition of p and q, denoted by p(cid:1165)q, is the proposition , p and q . Q: washington d. c is the capital of u. s. a. P(cid:1165)q: st. catherines is the capital of canada and washington d. c is the capital of u. s. a.