Tuesday, 17 December 2013

T2B22

I find Raymond Smullyan's introduction to logic interesting. In the first part of his book, he puts forth this thought:

My introduction to logic was at the age of six. It happened this way: On April 1, 1925, I was sick in bed with grippe, or flu, or something. In the morning my brother Emile (ten years my senior) came into my bedroom and said: "Well, Raymond, today is April Fool's Day, and I will fool you as youhaveneverbeenfooledbefore!" Iwaitedalldaylongfor him to fool me, but he didn't. Late that night, my mother asked me, "Why don't you go to sleep?" I replied, "I'm waiting for Emile to fool me." My mother turned to Emile and said, "Emile, will you please fool the child!" Emile then turned to me, and the following dialogue ensued:

Emile | So, you expected me to fool you, didn't you?

Raymond | Yes.

Emile | But I didn't, did I?

Raymond | No.

Emile | But you expected me to, didn't you? 

Raymond | Yes.

Emile | So I fooled you, didn't I!

Well, I recall lying in bed long after the lights were turned out wondering whether or not I had really been fooled. On the one hand, if I wasn't fooled, then I did not get what I expected, hence I was fooled. (This was Emile's argument.) But with equal reason it can be said that if I was fooled, then I did get what I expected, so then, in what sense was I fooled. So, was I fooled or wasn't I?
I shall not answer this puzzle now; we shall return to it in one form or another several times in the course of this book. It embodies a subtle principle which shall be one of our major themes. 

I thought the last paragraph was an EXCELLENT point. Also, the way he says it sounds smart :P. Never thought of saying it that way.

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