| 1. | Analyze each of the following sentences in as much detail as possible. | |
| a. | Tom was late unless he left early. | |
| b. | You’ll get a good picture only if you take the cap off the lens. | |
| c. | Neither Ann nor Bill knew of it unless they both did. | |
| d. | The bill will pass if the chairman supports it—unless public opinion runs heavily against it. | |
| e. | Unless Ed is late, we’ll get started on time and finish early if there isn’t a lot of business. | |
| f. | If Bob was under no obligation to help, he worked only if he was in a good mood and had nothing to do. | |
| 2. | Synthesize idiomatic English sentences that express the propositions associated with the logical forms below by the intensional interpretations that follow them. These repeat 3 a, c, and d of 5.1.x. This time, you should look for ways of stating sentences using only if and unless. | |
| a. |
¬ S → ¬ B S: I’ll see it; B: I’ll believe it |
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| b. |
¬ W ← ¬ (P ∧ ¬ B) W: the set works; P: the set is plugged in; B: the set is broken |
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| c. |
¬ (A ∨ B) → (G ← ¬ (C ∨ D)) A: Adams will back out; B: Brown will back out; G: the deal will go through; C: Collins will have trouble with financing; D: Davis will have trouble with financing |
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