Mind bending philosophy dilemmas in multiple choice tests.

David dfrankiswork at netscape.net
Thu Nov 1 09:25:25 UTC 2001


Sam asked about:

> Q: Which of the following is NOT true for a particular film?
> A) An option which may or may not be true.
> B) Another option which may or may not be true. 
> C) A third option which may or may not be true.
> D) All of the above are true.
> 

I agree, as it stands, this is nonsense.  I suspect they *meant*:

Statement X
Statement Y
Statement Z

A: X is not true
B: Y is not true
C: Z is not true
D: They are all true

What they *said* is logically equivalent to the same question except 
for:

D: at least one of X, Y, Z is not true.

Anyone who enjoys this sort of thing (the technical term 
is 'pervert') should examine the works of Raymond Smullyan, for 
example 'What is the Name of This Book?'  which are full of islands 
with tribes who always tell the truth, or always lie, or alternately 
lie and tell the truth, etc. and questions such as 'If I were to ask 
your friend if this were the way to the village, would he give the 
opposite answer to the one you would give?'

Does that help?

D:A:vid





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