Solution to Question 3:
Knights, Knaves and Normals
Imagine you are on an island called Texel, with inhabitants that look the same from the outside, but differ in their truthfulness. We distinguish the following types:
Knights, who always tell the truth.
Knaves, who never tell the truth
Normals, who sometimes tell the truth and sometimes lie.
Assume you meet one of these inhabitants, and he tells you: "I'm no Knight". Then, of what type is inhabitant?
Knight
Knave
Normal
Indeterminable
The Solution:
Normal
Normal
An Explanation
A Knight cannot make the statement "I'm no Knight", since this would be a lie and a Knight always tells the truth. A Knave could also not make the statement, since that would be a true statement, and a Knave never tells the truth. A Normal however can say, "I'm no Knight". It is true, and Normals sometimes tell the truth.
Question 4: Color of the Bear
A hunter leaves his cabin early in the morning and walks one mile due south. Here he sees a bear and starts chasing it for one mile due east before he is able to shoot the bear. After shooting the bear, he drags it one mile due north back to his cabin where he started that morning. What color is the bear?
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