| 1. | Analyze each of the following sentences in as much detail as possible. | |
| a. | Reagan’s vice president was the 41st president. | |
| b. | Tom found a fly in his soup and he called the waiter. | |
| c. | Tom found the book everyone had talked to him about and he bought a copy of it. | |
| d. | Wabash College is located in Crawfordsville, which is the seat of Montgomery County. | |
| e. | Sue and Tom set the date of their wedding but didn’t decide on its location. | |
| 2. | Synthesize idiomatic English sentences that express the propositions associated with the logical forms below by the intensional interpretations that follow them. | |
| a. |
(Sab ∧ ¬ Sa(fc)) → ¬ b = fc
[S: λxy (x has spoken to y); f: λx (x’s father); a: Ann; b: Bill; c: Carol] |
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| b. |
(B(fa)(mb) ∨ S(ma)(fb)) → Cab
[B: λxy (x is a brother of y); C: λxy (x and y are cross-cousins); S: λxy (x is a sister of y); f: λx (x’s father); m: λx (x’s mother); a: Ann; b: Bill] |
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| c. |
Pab(m(sb)(sc)) ∧ Pac(m(sb)(sc))
[P: λxyz (x persuaded y to accept z); m: λxy (the best compromise between x and y); s: λx (x ’s proposal); a: Ann; b: Bill; c: Carol] |
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