Re: Updated unexpected hanging paradox bibliography
- From: Kees <kees@xxxxxxxxx>
- Date: Fri, 09 Sep 2005 18:37:33 EDT
> >> If the students start with the assumption that it
> is indeed *possible*
> >> that the teacher is lying, then ...
>
>
> >The problem is that the teacher gave the exam on
> thursday and
> >completely surprised all students. So, the teacher
> wasn't lying after
> >all... Thus, still a paradox.
>
> I think you missed the point. The students were
> surprised
> *because* they didn't take into account the
> possibility that
> the teacher was lying.
>
What you are saying is the following: suppose I want to prove statement T is false. I say well suppose it is true. Then I derive a contradiction. Now just as I conclude that T is thus false, you say: "wait, you have to keep in mind that T might be false afterwards..." This is not how proof by contradiction works.
.
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