Formal proof of validity logic

State the inference rule you used to create each new premise. Show all your work. Some sample problems are worked on pages 146 – 151 of your textbook. Use the truth tables on page 117 that define the operators and the inference rules given on page 149. 4. “Either wealth is an evil, or wealth is a good; But wealth is not an evil; Therefore, wealth is a good.” Sextus Empiricus, Against the Dogmatist 5. If you know you are dead [in heaven?], then you are dead. If you know you are dead then you are not dead. If you know you are dead then you are dead and not dead. 6. “There are only three possibilities: either your sister is mad or she is telling lies, or she is telling the truth. You know she does not tell lies, and she is obviously not mad, so we must conclude that she is telling the truth.” C. S. Lewis 7. If the first then not the second; But the first. Therefore, not if the first then the second. 8. If God does not exist then it is false that if I pray Then God answers my prayers. I do not pray. Therefore, God exists. 9. “Either I’m not a bad influence on the young, or I am a bad influence but without realizing it. If I am a bad influence without realizing it, You ought not to have brought me to court. If I’m not a bad influence, I should not have been brought to court. Therefore I ought not to have been brought to court.” Plato, Apology 10. “Babies are illogical. Nobody is despised who can manage a crocodile. Illogical persons are despised. Therefore babies cannot manage crocodiles.” Lewis Carrol 11. You will get an A if you either get a hundred on the final exam or else bribe the teacher. You will not get a hundred on the final exam. Therefore, you will get an A only if you bribe the teacher.

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