Due:  Friday, October 11, 2002

Using the lexicon below translate each of the sentences following into our artificial language.  You may use only predicates and constants in the lexicon, doing as well as you can with just those.

D2       ¬ loves ­
H2       ¬ hits ­
I1         ¬ insults ­
L1        ¬ is a lawyer
G1       ¬ wears green
J1        ¬ would be a good judge
C1       ¬ is crazy
J11      ¬ is a judge

a:         Amanda
b:         Barry
c:         Cleo
d:         Dawn

1. If Amanda loves Barry then Cleo will insult him.

2. Unless Amanda loves Barry Cleo will insult him.

3. Only if Amanda loves Barry will Cleo insult him.

4. Even if Amanda loves Barry Cleo will insult him.

5. If Dawn is a crazy lawyer who wears green then Barry will not hit Amanda unless Dawn loves her.

6. Cleo would be a good judge if, and only if, she is a lawyer and she does not insult Barry who is crazy.

7. All lawyers would be good judges.

8. Some lawyers would be good judges.

9. No lawyers would be good judges.

10. Not all lawyers would be good judges.

2. Supply the single most significant missing premise. Give only one missing premise.

(a) O.J. Simpson must have murdered his ex-wife, since his blood was found at the murder scene.

(b) Since Alexandra wasn't sick yesterday, there is no reason to excuse her late homework.

(c) Things are identical only if they have all their properties in common. My mind is believed by me to be central to who I am; but my body is not believed by me to be central to who I am. Therefore my mind is not identical to my body.

(d) Professor Hill waited 10 years to say anything about sexual harassment. Therefore whatever may have happened couldn't have been very serious.

(e) Judge Thomas must have been telling the truth about Anita Hill's charges, since a man of his stature would never lie to the Senate.