## Semantics and pragmatics

1. 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.

2. Set theory (10 marks) Given the sets below, which of the following 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 interpretation (15 marks) The questions in this section assume a predicate logic I. with the vocabulary. syntactic rules. and rules of 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) A P(s). b. Which rule or combinations of rules tell you how to interpret it (relative to I , and variable assignment function 92)? c. Is it true in .1/J (10) a. State the truth conditions of 3:11.11(x, ) V (1(x1). b. Which rule or combinations of rules tell you how to interpret it (relative to M2 and vari. able assignment function 92)7 c. Is it true in M2 with respect to variable assignment function ii27

4. Generalized quantifier theory (5 marks) Briefly explain vi hat it Walls for a natural language determiner to be conservative, providing a potential counterexample to the claim that all natural language determiners arc conservative.