Final Assessment Short Answer Portion
LINC12 Fall 2024
December 10, 2024
1 Putting it all Together – Translations
Below you will find a short passage. The following questions are about this passage.
(1) Yusuf and Bolor are friends. Bolor has a cat, named Rosemary. Of course, Yusuf and Bolor are people. Bolor’s mother, Tuyaa, is afraid of cats. If Tuyaa wasn’t afraid of cats, Tuyaa could visit Bolor. Yusuf might cat-sit Rosemary. If Yusuf takes Rosemary, Bolor will be grateful, and give him a gift. If Yusuf can take Rosemary, Tuyaa will also be grateful, and she might cook for him and Bolor. Tuyaa has not met Yusuf, but if she cooks for him and Bolor, she must meet him.
1.1 Writing a Model (10 points)
Create (write) a model that contains all of the necessary individuals and predicates to translate the passage in (1) into predicate logic.
1.2 Translations (15 points)
Translate the following sentences from the passage above into Predicate Logic:
(2) If Tuyaa was not afraid of cats, she could visit Bolor.
(3) Yusuf might cat-sit Rosemary.
(4) If Yusuf takes Rosemary, Bolor will be grateful and give him a gift. (Ignore ‘will’ here; treat it as tense. )
(5) If Yusuf can take Rosemary, Tuyaa will be grateful, and she might cook for him and Bolor.
(6) Tuyaa has not met Yusuf, but if she cooks for him and Bolor, she must meet him.
2 Quantifiers
2.1 Quantifiers in Set Relations (15 points)
The underlined phrases in the following sentences below can be analysed as quantifiers. For each of these sentences, write the truth conditions as a translation of the sentence in set notation.
(7) Acme Co. has received less than 1600 applications.
(8) The majority of people who visit St. Johns are Canadian.
(9) More than half, but not every person who got sick visited a doctor.
(10) None of the anthropologists that Chigozie knows like Chomsky.
(11) Sandra sells most of the gifts she receives from Bruno.
2.2 Modals as Quantifiers – Relative Scope (10 points)
For each of the sentences below with a modal and a quantifier (or negation), write the translation into pred- icate logic using the quantificational representation of the modal force (possibility or necessity) in either Surface Scope or Inverse Scope, as indicated for that sentence.
(12) Peter must return every book. Inverse scope
(13) Sylvia can catch a fish. Surface scope
(14) Every passenger must show a ticket to the conductor. Surface scope
(15) Jess does not have to stay. Inverse scope
(16) A guard might catch Robert. Inverse scope
3 Events
3.1 Telicity (5 points)
For each of the following sentences, perform and clearly evaluate one adverbial test to determine whether the underlined predicate is telic or atelic
(17) Maryam installed several light fixtures.
(18) Please submit your completed assignment online.
(19) My cat does dramatic stretches every morning.
(20) Diligent researchers have filed away thousands of hours of data logs.
(21) She was sweeping up after the event.
3.2 Aktionsart (10 points)
Determine the Aktionsart of the underlined predicate in following sentences by writing and clearly evaluat- ing at least two test sentences that illustrate its defining characteristics.
(22) Vincent has a sister who repairs pianos.
(23) Jorge painted portraits for the Queen.
(24) I was terrified when the light flickered.
(25) Shelly will forget to bring my cake pan back, I promise you.
(26) Chris drove to the airport to pick me up.
3.3 Tense & Aspect (10 points)
For each of the following sentences, indicate whether the Topic Time (TT) precedes, follows or is the same as (=) the Utterance Time (TU), and whether the Situation Time (SitT) contains the Topic Time, or the other way around. You can write this using angled brackets (< for precedes) or the equals sign (=) to indicate the order of TT and TU, and subset symbols (c) to describe the inclusion of SitT and TT or you can write your answer in text. For example, for the sentence “I was sleeping when Marie arrived.” you can say: the topic time is included in the situation time, and the situation time is before the Utterance Time, or: TTcSitT, TT<TU
(27) I’ll be cooking when you arrive.
(28) I was washing dishes earlier this morning.
(29) Dr. Wu hid the candy from her patients’ children.
(30) As soon as I turned my back, my nephew stole stole a bottle of juice.
(31) I’m listening to a John Coltrane record.