## Some tricky logic puzzles.

A forum for good logic/math puzzles.

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### Re: Some tricky logic puzzles.

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

Posts: 217
Joined: Tue Mar 29, 2011 1:41 pm UTC

### Re: Some tricky logic puzzles.

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

Posts: 556
Joined: Tue Jul 27, 2010 8:48 am UTC

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