# HW 7 Conditionals - HW 7 Answers 7.7 Note the fact that the two sentences are not tautologically equivalent but that the first sentence is a

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HW 7 Answers 7.7 Note the fact that the two sentences are not tautologically equivalent, but that the first sentence is a tautological consequence of the second. 7.8 The sentences in 7.8 are identical to those in 7.7, with the exception that we see here the biconditonal rather than the conditional symbol. As you can observe from the truth table, the two sentences are equivalencies. The associativity rule holds for the biconditional connective, but not for the conditional one.

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7.16 This exercise asks you to give three objects a name, so that all sentences are true in the world. The only problem is that you need to remember that the truth value of the biconditional connective is T if both sentences are false. So, in the world below the sentence Tet(b) Tet(c) is true, even though both Tet(b) and Tet(c) are false. [there may be other solutions that are correct as well]
7.18 The following are correct translations: 1. This sentence is of the form if P then (Q R) . 2. This is tricky. The sentence is of the form

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## This note was uploaded on 04/02/2008 for the course LING 178 taught by Professor Dehaan during the Spring '08 term at University of Arizona- Tucson.

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HW 7 Conditionals - HW 7 Answers 7.7 Note the fact that the two sentences are not tautologically equivalent but that the first sentence is a

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