Some tricky logic puzzles.

A forum for good logic/math puzzles.

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Re: Some tricky logic puzzles.

Postby sfwc » Mon Jan 23, 2012 12:44 pm UTC

tomtom2357 wrote:Other three? There are only two people in the room other than you (in the above problem) so this question has no meaning.

Sorry about that. I thought we still had a knight, a knave, an anti-knight and an anti-knave. My mistake.

This should work:
Spoiler:
"If I asked the other person whether grass was green, would their answer mean the opposite of `ja'?" (asked twice). Interestingly, the question "If I asked you whether grass was green, would your answer mean the opposite of `ja'?" (twice) also works.
sfwc
 
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Re: Some tricky logic puzzles.

Postby tomtom2357 » Wed Jan 25, 2012 1:53 pm UTC

sfwc wrote:
tomtom2357 wrote:Other three? There are only two people in the room other than you (in the above problem) so this question has no meaning.

Sorry about that. I thought we still had a knight, a knave, an anti-knight and an anti-knave. My mistake.

This should work:
Spoiler:
"If I asked the other person whether grass was green, would their answer mean the opposite of `ja'?" (asked twice). Interestingly, the question "If I asked you whether grass was green, would your answer mean the opposite of `ja'?" (twice) also works.

Yes, your solution takes advantage of the fact that anti-knaves are reducible to knights and anti-knights are reducible to knaves when you ask a non-self-referencial question
I have discovered a truly marvelous proof of this, which this margin is too narrow to contain.
tomtom2357
 
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