| 1. | Analyze the following in as much detail as possible. | |
| a. | If Oswald didn’t shoot Kennedy, someone else did. | |
| b. | No one but Frank saw Sue. | |
| c. | Ed and only Ed was awake. | |
| d. | Everyone except Tom, Dick, and Harry arrived early. | |
| e. | Adam and another officer thanked everyone else. | |
| f. | At least two things went wrong. | |
| g. | Bill spoke to at most one person. | |
| h. | Just one thing will do. | |
| i. | Ann saw more than one assassin. | |
| j. | Ann saw exactly two assassins. | |
| 2. | Synthesize idiomatic English sentences that express the propositions associated with the logical forms below using the intensional interpretations that follow them. | |
| a. |
Fth ∧ (∃x: ¬ x = h) Ltx
[F: λxy (x found y); L: λxy (x lost y); h: Tom’s hat; t: Tom] |
|
| b. |
(∃x: Px) (∃y: Py ∧ ¬ y = x) Sxy
[P: λx (x is a person); S: λxy (x spoke to y)] |
|
| c. |
(∀x: Px ∧ ¬ x = m) ¬ Rsx
[P: λx (x is a person); R: λxy (x recognized y); m: Mary; s: Sam] |
|
| d. |
(∃x: Sx) Ox ∧ ¬ (∃x: Sx) (∃y: Sy ∧ ¬ y = x) (Ox ∧ Oy)
[S: λx (x is a store); O: λx (x was open)] |
|