MATH 1019 Lecture Notes - Lecture 2: Contraposition

• School: York University
• Department: Mathematics and Statistics
• Course: MATH 1019
• Professor: Natasha May

Document Summary

Implication (cid:862) (cid:863) (cid:894)(cid:862)if-the(cid:374)(cid:863)(cid:895): ex: if p de(cid:374)otes (cid:862)i a(cid:373) at ho(cid:373)e. (cid:863) (cid:395) de(cid:374)otes (cid:862)it is (cid:396)ai(cid:374)i(cid:374)g. (cid:863) p (cid:395) de(cid:374)otes (cid:862)if i a(cid:373) at ho(cid:373)e the(cid:374) it is (cid:396)ai(cid:374)i(cid:374)g. (cid:863) I(cid:374) p (cid:395), p is the hypothesis (antecedent or premise) and q is the conclusion (or consequence). In p q, there does not have to be a connection between the hypothesis and the conclusion: ex: if the moon is made of green cheese, then i have more money than bill. (cid:395) p is the contrapositive of p (cid:395)