8.1.x. Exercise questions
| 1. |
Analyze the sentences below in as much detail as possible. For the most practice using existentials, avoid using universals in your analyses. |
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| a. | Someone is missing. | |
| b. | No one found the loot. | |
| c. | There is a tavern in the town. | |
| d. | Some winner of the lottery has not come forward. | |
| e. | Tod watched a dance troop from India. | |
| f. | The search turned up no car fitting the description. | |
| g. | There is a button behind you that will open the door. | |
| h. | If Tom doesn’t find anything, he’ll be disappointed. | |
| i. | Al went to a restaurant no one he knew had heard of. | |
| 2. |
Synthesize idiomatic English sentences that express the propositions associated with the logical forms below by the intensional interpretations that follow them. |
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| a. | ∃x Bx | B: [ _ is burning] | |
| b. | (∃x: Px) Axd | A: [ _ is at _ ]; P: _ is a person; d: the door | |
| c. | (∃x: Fx) Rtx | F: [ _ is a fire]; R: _ reported _ ; t: Tamara | |
| d. | ¬ (∃x: Px ∧ Nxr) Kxs | K: [ _ knew _ ]; N: _ was in _ ; r: the room; s: Sam | |
| e. | (∃x: Vx) (Tvx ∧ Sx) | S: [ _ shattered]; T: _ touched _ ; V: [ _ is a vase]; v: Vic | |
| f. | ∃x (Hx ∧ Ljx) | H: [ _ had happened]; L: _ left to deal with _ ; j: Jane | |
| g. | ∃x (Fax ∧ Rbx) | F: [ _ forgot _ ]; R: _ remembered _ ; a: Ann; b: Bill | |
| h. | (∃x: Fx ∧ Hx) Dix | D: [ _ detected _ ]; F: _ was fast; H: [ _ was heavy]; i: the instrument | |