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Mathematics, 22.01.2022 03:30 nyceastcoast

The logician Raymond Smullyan describes an island containing two types of people: knights who always tell the truth and knaves who always lie. You are visiting the island and have the following encounters with natives. a. Two natives A and B address you as follows:

A says: Both of us are knights.
B says: A is a knave.

What are A and B?

b. Another two natives C and D approach you but only C speaks:
C says: Both of us are knaves.

What are C and D?

c. You then encounter natives E and F.

E says: F is a knave.
F says: E is a knave.

How many knights and knaves are there?

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