MATH350 Lecture Notes - Lecture 1: Logical Consequence, Contraposition, Additive Inverse
20 Oct 2018
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A proposition is a declaration that can be either true or false, but not both. 1. 1. 1 sample problems determine which of the following are propositions. 1. 1. 2 de nition the operation called negation refers to stating the opposite meaning of a proposition. P: it is not raining: p: i am ve feet tall. Notice that p and p cannot both have the same truth value. This is called the law of non contradiction. 1. 1. 3 sample problems find the negations of each of the previous sample problems determined to be propositions. P and q: p is true and q is true. (both must be true) 2. Or q: either p is true or q is true (one must be true). Example determine the meaning of (p and q) and (p or q). P : x 4, q : x > 1. P: she is at least 8 year old, q: she is able to see a rated r movie.
