1.1 Exercise 1: Semantic Types For each of the following English expressions, give its semantic type (e.g. e, t, (e, t) etc).
(1) Daniel Lue
(2) human
(3) happy
(4) happy human
(5) Daniel Lue is a happy human.
1.2 Exercise 2: Conjunction Note: Whenever you’re asked to ‘compute the truth conditions for [linguistic expression]’, for each node in the tree, you should give (a) its semantic type, (b) its denotation, and (c) the rule that you used to arrive there (TN, FA, NN, etc.). Show your work! For each example, draw its tree and compute its truth conditions. Use type e meanings for the names ‘Ryan’, ‘Janet’, etc.
A. Ryan sits and Janet stands.
B. Daniel sleeps and likes Ryan.
C. Janet and JoAnna sleep.
D. JoAnna likes Daniel and Ryan.
For (A), use the denotation for ‘and’ stated here: [and]] = )p E D5.[Aq E D5 . p = q = 1]. For (B-D), define different denotations for ‘and’ if necessary. (Hint: start by computing types using the triangle method.)
