ENG 1120 Lecture Notes - Lecture 9: Thanetian, Modus Tollens, Modus Ponens
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Alice rode her bike, and john walked. p q. Either alice rode her bike, or john walked. p v q. It is not the case that alice rode her bike. 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. Therefore, 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. ~p ~q q p: hypothetical syllogism (hs) Therefore, if p, then r. p q q r p r. If guy steals the money, he will go to jail. If guy goes to jail, his family will suffer. Therefore, if guy steals the money, his family will suffer: disjunctive syllogism (ds) p v q. Either ralph walked the dog or he stayed home.