Exercise 2.3 - Answers

1

(i) Yes.
 
(ii)
Not strictly accurate, since, if the were no such person as Socrates, the first sentence would not be true, but the second would be (since "Socrates is wise" would be false). However, for most purposes the translation will be good enough.
 
(iii)
No (at least if the first sentence bears its usual meaning), because if one person is telling the truth and another is not, the first sentence would be true and the second false.

 
(iv)
Yes.

 
(v)
No. If both looking and not looking were permissible, the first sentence would be false but the second true.

 
(vi)
Perhaps. But commonly the first sentence is used to mean I think he isn't coming. If that is how it is being used, the answer is, "No", because if I have no opinion either way, the second sentence will be true, but the first false.

 
(vii)
Probably yes. But it depends whether you think that the first sentence would be true if Peter has never beaten his wife.

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