True or false?

Logic Level 1

Patrick lives on an island with

  • knights, who always tell the truth,
  • jokers, who always lie, and
  • normal people, who either tell the truth or lie.

If he says "I am a joker.", then what is he?

joker normal person knight

Marissa Wadlington by Marissa Wadlington , 46, USA

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4 solutions

André Hucek
Sep 26, 2017

It can't be a knight, since he can only say to be a knight.

It can't be a joker, since if he claimed to be one, he would tell the truth creating a paradox.

That makes the normal person \boxed{\text{normal person}} the only possibility.

5 Helpful 0 Interesting 0 Brilliant 0 Confused

You can try

\boxed{\text{normal person}}

Which appear as

normal person \boxed{\text{normal person}}

Munem Shahriar - 3 years, 8 months ago
James Bacon
Oct 3, 2017

It can't be a knight because he will tell the truth{ I am a knight }

It can't be a joker because he will lie { I am a knight }

The only choice is normal person \color{#20A900}\boxed {\text{ normal person}}

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Mohammad Khaza
Sep 30, 2017

knight will always claim himself as a knight.

joker will never claim himself as a joker.

then,there remains only normal person.

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Stephen Mellor
Sep 26, 2017

If he were a knight, his statement would be true, implying that he is also a joker.

If he were a joker, his statement would be a lie, implying that he is also not a joker.

If he were a normal person, his statement would have to be a lie, to not contradict his true identity.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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