Knights and knaves puzzles are a perfect example of brute force working. Since every participant must be either a knight (truth-teller) or a knave (liar), and there is (presumably) only one working configuration, then you only have to enumerate two possibilities: that the first person who spoke was a knight, or that the first person who spoke was a knave. Here’s one of my own design.
Five natives (call them A, B, C, D, and E) come up to you.
A says: B is a knave.
B says: D is a knave.
C says: B and D are both knaves.
D says: E is a knave.
E says: There are even number of knights in this group.
We don’t need no stinkin’ brute force! When things look so black-and-white, this is a job for… the Mind-Killer!
We see two factions accusing one-another, AD vs BE. So we know one side is all good, the other side is all evil.
As for C, well if we know one side has all the answers, then anyone claiming otherwise must be a dirty liar. So there can only be 2 knights. Guess E was right, so CAD are cads.
Nice little heuristic. What could possibly go wrong?
We don’t need no stinkin’ brute force! When things look so black-and-white, this is a job for… the Mind-Killer!
We see two factions accusing one-another, AD vs BE. So we know one side is all good, the other side is all evil.
As for C, well if we know one side has all the answers, then anyone claiming otherwise must be a dirty liar. So there can only be 2 knights. Guess E was right, CAD are cads.
Nice little heuristic, what could possibly go wrong?
Knights and knaves puzzles are a perfect example of brute force working. Since every participant must be either a knight (truth-teller) or a knave (liar), and there is (presumably) only one working configuration, then you only have to enumerate two possibilities: that the first person who spoke was a knight, or that the first person who spoke was a knave. Here’s one of my own design.
We don’t need no stinkin’ brute force! When things look so black-and-white, this is a job for… the Mind-Killer!
We see two factions accusing one-another, AD vs BE. So we know one side is all good, the other side is all evil.
As for C, well if we know one side has all the answers, then anyone claiming otherwise must be a dirty liar. So there can only be 2 knights. Guess E was right, so CAD are cads.
Nice little heuristic. What could possibly go wrong?
We don’t need no stinkin’ brute force! When things look so black-and-white, this is a job for… the Mind-Killer!
We see two factions accusing one-another, AD vs BE. So we know one side is all good, the other side is all evil.
As for C, well if we know one side has all the answers, then anyone claiming otherwise must be a dirty liar. So there can only be 2 knights. Guess E was right, CAD are cads.
Nice little heuristic, what could possibly go wrong?