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A Logic Accusation (Posted on 2003-10-01) Difficulty: 2 of 5
In an island peopled by Knights (who always say the truth) and Liars (who obviously always lie), two persons spoke about each other.

A said: "B would say I lie."

B said: "That is true."

Can anything be deduced as to what kind is each of them?

  Submitted by Federico Kereki    
Rating: 2.8667 (15 votes)
Solution: (Hide)
Both men are Liars.

First, from A's assertion, it can be deduced that B must be a Liar. If A was a Knight, then B would have to lie. And if A was a Liar, then it must be false that B would say so, so B would also be a Liar.

Since B is a Liar in any case, if he says A is truthful, then A must be a Liar too.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionThis should be in Liars and Knights.Math Man2014-08-03 15:03:00
SolutionPuzzle Solution With ExplanationK Sengupta2008-03-28 05:41:01
AnswerK Sengupta2008-03-28 05:29:29
solutionAndre2005-09-02 17:11:44
SolutionSolutionLynn2005-04-20 03:43:29
solutionwhome?2005-01-27 16:39:20
SolutionTara Seaton2004-04-04 18:12:50
knights&liarsabby2003-10-17 23:11:34
SolutionSimpleDrew2003-10-08 23:50:47
Some Thoughtsre(3): SolutionFederico Kereki2003-10-05 21:29:15
Solutionplease ignoreFatBoy2003-10-02 13:24:50
Short discussionratsnstuff2003-10-02 05:25:05
re(3): SolutionSilverKnight2003-10-01 15:57:18
re(2): SolutionBrian Wainscott2003-10-01 15:14:57
Solutionre: SolutionSilverKnight2003-10-01 12:09:30
SolutionSolutionBrian Wainscott2003-10-01 11:43:27
SolutionsolutionSilverKnight2003-10-01 11:04:53
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