8.3.x. Exercise questions
| 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: [ _ found _ ]; L: _ lost _ ; h: Tom’s hat; t: Tom |
|
| b. |
(∃x: Px) (∃y: Py ∧ ¬ y = x) Sxy
P: [ _ is a person]; S: _ spoke to _ |
|
| c. |
(∀x: Px ∧ ¬ x = m) ¬ Rsx
P: [ _ is a person]; R: _ recognized _ ; m: Mary; s: Sam |
|
| d. |
(∃x: Sx) Ox ∧ ¬ (∃x: Sx) (∃y: Sy ∧ ¬ y = x) (Ox ∧ Oy)
S: [ _ is a store]; O: _ was open |
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