Which of the following 5 sentences are true?

a) It is not the case that 2 consecutive sentences are both false.
b) There are fewer false than true sentences.
c) It is not the case that 3 consecutive sentences are all false.
d) It is not the case that 2 consecutive sentences are both true.
e) There are exactly 3 false sentences.

(In reply to Solution (software program used) by Penny)

a) It is not the case that 2 consecutive sentences are both false.
b) There are fewer false than true sentences.
c) It is not the case that 3 consecutive sentences are all false.
d) It is not the case that 2 consecutive sentences are both true.
e) There are exactly 3 false sentences.

 

possibly

If only statement d is true, then a b and c are all false, which makes d true if and only if statement e is false.

The question is, do we get to decide if e is true or false in this situation? with exactly 3 being false outside of e, can we say lets make e false, in that it is a self fulfilling prophecy? Is that a paradox or a trick of the trade?

The only way d is true is if e is false. if the other three are false, then e can be either true or false. It is true if we decide it is true, and false if we decide it is false.

Posted by bill on 2004-11-27 18:51:48