HW_3_solutions - 2.19 Take the duals ef the answers frnnt...

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Unformatted text preview: 2.19 Take the duals ef the answers frnnt 2.1? 2.33 There are five different ways of inserting parentheses. in the expressinn A —> B —> C —> D. corresponding to five different sentential expressions: A—>{B—>{C—}D)) A—>{{B—>C)—>D) {.fit—>B}—:+{C—>D} (.fiL—:+(B—>C))—}D {LA—>B)—>C)—>D Exercise 3.3 A: Ann is married B: Barbara is married C: Claire is married D: Dorothy is married 2 Exactly one of the four women is married. [AA—.BA—ICL .—D) v {—AaBn—uCn—IDJ V (—IAxs—IBACA—ID) v [—IAfl—BI .—.Cn.[}} 3 At least two of Ann. Barbara and Claire are unmarried. V V 5. If one of the four women is ururrarried. all of them are (unmarried). (—IAA—IBA—Crs—D] v {AanCnDj if you read the sentence as: If one of the four women is urnnarried. all of them are {married}. (—IAv—IBV—Cv—Dj—xc-{AABnCnD] E —.If—.Av—.Bv—.Cv—.D) v {AABACAD} E {AABACADJ v {AfiBfiCfiD} E [AABACAD] 6. At least one of Ann and Dorothy is married and at least one of Barbara and Claire is unmarried (AVE!) (flasher) 3.5 Sample solutions: 1. A leader is a dealer in hope. The answer: A. As CTC: I_f x is a leader. then X is a dealer in hope. 2. Ignore what a man desires and you ignore the yery soru‘ce of his power. The answer: A. As CiC: I_fyou ignore X's desires. then you ignore the very source of x‘s power. Note: We are interpreting ‘you‘ as a proper name. 4. If you command wisely. you‘ll be obeyed cheerfully. If we interpret "you" as a proper name. say. a way of referring to Bob. we get: If Bob cormnands wisely. then Bob will be obeyed cheerfully. In this case. the answer is A—>B. However. we could read the sentence as making a general claim. In this case the answer is A. CIC : If x Commands wisely. then x will be Dheyed cheerfully. 3. You‘ll do well in the world if you are neither more nor less wise. neither better nor worse than your neighbors. If we interpret the sentence as a general olaiin. then the answer is A. (BC: If x is not more wise. not less wise. not better. not worse than his neighbors. then X will get well in life. ...
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This note was uploaded on 02/27/2011 for the course PHILOSOPHY 101 taught by Professor H during the Spring '11 term at Columbia College.

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HW_3_solutions - 2.19 Take the duals ef the answers frnnt...

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