## Semantics and pragmatics

1. Speech act theory (10 marks) Which of the followin” rel=”nofollow”>ing are performative utterances? Justify your answer for each, notin” rel=”nofollow”>ing any compli-cations.(6) a. Kim is a teacher. b. I bet you five pounds that United win” rel=”nofollow”>in tomorrow. c. Kim bet you five pounds that United win” rel=”nofollow”>in tomorrow. d. I would like to thank you for your participation.
2. Set theory (10 marks) Given the sets below, which of the followin” rel=”nofollow”>ing statements are true? A=(1,3,5,7) B=(a,c.e,g.i) C=I xlx is an odd number less than or equal to 71 D={7,3,1.5) E=Ie.a,i,c,i,g 1:=1 ( I ),( 1,3),( 1.3,5)41,3,53)) (7) a. A=13 b. E=B c. C=A d. I E C c. I I }EA 1. C=D g. CCC h. CCC

3. Model-theoretic in” rel=”nofollow”>interpretation (15 marks) The questions in” rel=”nofollow”>in this section assume a predicate logic I. with the vocabulary. syntactic rules. and rules of in” rel=”nofollow”>interpretation from de Swan (92-93). which is attached. We assume also the model M2 from tic Swan, pg. 95. also attached. (9) a. State the truth conditions of K 0, in” rel=”nofollow”>in) A P(s). b. Which rule or combin” rel=”nofollow”>inations of rules tell you how to in” rel=”nofollow”>interpret it (relative to I , and variable assignment function 92)? c. Is it true in” rel=”nofollow”>in .1/J (10) a. State the truth conditions of 3:11.11(x, ) V (1(x1). b. Which rule or combin” rel=”nofollow”>inations of rules tell you how to in” rel=”nofollow”>interpret it (relative to M2 and vari. able assignment function 92)7 c. Is it true in” rel=”nofollow”>in M2 with respect to variable assignment function ii27
4. Generalized quantifier theory (5 marks) Briefly explain” rel=”nofollow”>in vi hat it Walls for a natural language determin” rel=”nofollow”>iner to be conservative, providin” rel=”nofollow”>ing a potential counterexample to the claim that all natural language determin” rel=”nofollow”>iners arc conservative.