PHI 1101 Lecture Notes - Lecture 6: Modus Ponens, Modus Tollens
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Example: alice rode her bike, and john walked. p q: disjunction ( or") = v. Example: either alice rode her bike, or john walked. p v q: negation ( not") = ~ Explanation: it is not the case that alice rode her bike. Example: if alice rode her bike, then john walked. p q. Eight valid argument forms: modus ponens (mp) If spot barks, a burglar is in the house. If you work in a bar, you"re over 19. So, you must not work in a bar. ~p ~q q p: hypothetical syllogism (hs) If guy teals money, he will go to jail. If guy goes to jail, his family will suffer. Therefore, if guy steals money, his family will suffer. Either ralph walked the dog or he stayed home. Either it is forecasted to rain tomorrow, or it is forecasted to rain today. If it is forecasted to rain tomorrow, we will play the baseball game today.