Four perfect logicians, who all knew each other from being members of the Perfect Logician's Club, sat around a table
that had a dish with 11 apples in it. The chat was intense, and they ended up eating all of the apples. Everybody had at
least one apple, and everyone knew that fact, and each
logician knew the number of apples that he ate. They didn't know how many apples each of the other ate, though.
They agreed to ask only questions that they didn't know the answers to.
Alonso: Did you eat more apples that I did, Bertrand?
Bertrand: I don't know. Did you, George, eat more apples than I did?
George: I don't know.
Kurt: Aha!!
Kurt figured out how many apples each person ate. Can you do the same?
The only way Kurt couls know is if he ate 5 apples himself.
Bertrand had to have eaten more than one apple (or he would have answered "no" to Alonso)
George Must have eaten more than two because he would have deduced that Bertrand would have had to have eaten more than one.
None of the first three ate more than 4 total because than they would have known they had eaten more than the people they questioned
this narrows the field but not enough. So Kurt must have used his own knowledge of how many he ate
A ate 1, B ate 2, G ate 3, and Kate 5
Solution
