| Phi 270 Fall 2013 |
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8.3.x. Exercise questions
| 1. |
Analyze the following in as much detail as possible. |
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| 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. |
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| a. |
Ft(ht) ∧ (∃x: ¬ x = ht) Ltx
F: [ _ found _ ]; L: [ _ lost _ ]; h: [ _’s hat]; t: Tom |
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| b. |
(∃x: Px) (∃y: Py ∧ ¬ y = x) Sxy
P: [ _ is a person]; S: [ _ spoke to _ ] |
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| c. |
(∀x: Px ∧ ¬ x = m) ¬ Rsx
P: [ _ is a person]; R: [ _ recognized _ ]; m: Mary; s: Sam |
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| d. |
(∃x: Sx) Ox ∧ ¬ (∃x: Sx) (∃y: Sy ∧ ¬ y = x) (Ox ∧ Oy)
S: [ _ is a store]; O: [ _ was open] |
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