Good or Evil?
Logic
Level
2
If the following statements are true:
- Alice is looking at Bob.
- Bob is looking at Charlie.
- Alice is good, but Charlie is not.
Is a good person looking at an evil person? (Assume binary states).
Cannot Be Determined
No
Yes
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We know that Alice is Good and Charlie is Evil. We are not sure though whether Bob is Good or he is Evil. We will denote Good with G and Evil with E. Let's look at both of these cases:
Case 1: Bob is Evil:
G -> E -> E.
As we can see, Alice, a Good person, is looking at Bob, an Evil person.
Case 2: Bob is Good:
G -> G -> E.
As we can see, Bob, a Good person, is looking at Charlie, an Evil person.
Regardless of which of the above cases is true, a good person is always looking at an evil person, so the answer to the question must be "Yes."