Semantics and pragmatics

2 Speech act theory (10 marks) Which of the following are performative utterances? Justify your answer for each, noting any compli-cations.(6) a. Kim is a teacher. b. I bet you five pounds that United win tomorrow. c. Kim bet you five pounds that United win tomorrow. d. I would like to thank you for your participation.
3 Set theory (10 marks) Given the sets below, which of the following statements are true? A=(1,3.5,71 B=(a.c.e.g.i) C=( xlx is an odd number less than or equal to 7) D={7,3.1.5} E=(e.a.i.c.i.g) F=I I I hi 1.31,113.5H I,3.5.7) (7) a. A=B b. E=B c. C=A d. IE C c. PIEA f. C=D g. CCC h. CCC

The questions in this section assume a predicate logic L with the vocabulary, syntactic rules, and rules of Interpretation from de Swart (92-93), which is attached. We assume also the model M2 from de Swan. pg. 95. also attached. (9) a. State the truth conditions of K (j. in) A P(s). b. Which rule or combinations of rules tell you how to interpret it (relative to /2 and variable assignment function g2)? c. Is it true in M2 (10) a. State the truth conditions of 32- ,(P(ri) V Q(z b. Which rule or combinations of rules tell you how to interpret it (relative to Af2 and vari-able assignment function g2)? c. Is it true in M2 with respect to variable assignment function g2?
6 Generalized quantifier theory (5 marks) Briefly explain what it means for a natural language determiner to be conservative, providing a potential counterexample to the claim that all natural language determiners are conservative.

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