One more thought on yesterday's quiz. The answer again is:
First, the word ERRERS was mis-spelled. Secondly, the word MESSEGE was mis -spelled. Thirdly, there were only two errors, not three, hence the word THREE should have been TWO .
But doesn't this raise a paradox? If the word THREE was an error, then there were really three errors after all, which makes the word THREE correct! So was that word an error or wasn't it? I don't know the answer to this!
The last entry calls to mind how I (Raymond Smullyan) got interested in logic: It happened when I was six years old. I was in bed with a cold, or something, on April 1, my brother Emile--10 years older than me-- came to my bedside in the morning and said : " Today I am going to fool you like you have never been fooled before! " And so I waited all day long for him to fool me, but he didn't! When bed time came, my mother and brother came into my room and my mother asked me why I didn't go to sleep. I said : " I'm waiting for Emile to fool me." My mother turned to him and said : " Why don't you fool the child?" The following conversation then ensued:
Emile--You expected me to fool you, didn't you?
Emile-- But I didn't, did I?
Emile-- But you expected me to.
Emile--So I fooled you, didn't I?
Well, I lay in bed for quite a while wondering whether I was really fooled or not! The problem is this: If I was fooled, then I DID get what I expected, in which case, in what sense was I fooled? On the other hand, if I was not fooled, then I didn't get what I expected, which means that I was fooled! And so either way you get a contradiction!