One day, the police find Martin's body and locate 3 suspects to record their statements:
- Alice: If Martin died of murder, then the murderer is Bob.
- Bob: If Martin died of murder, then the murderer is not me.
- Carol: If Martin did not die of murder, then must die of suicide.
The police have confirmed that: If only one of the above three suspects lies, then Martin indeed died of suicide.
Question: Did Martin die by suicide, murder or accidental death?
In this puzzle, we assume that all deaths can (and only) be categorized into these three causes of death.
This puzzle has been discussed widely elsewhere, but has not gained unanimous acceptance yet. Many insist that the standard answer is wrong, or the question itself is wrong, or information given is not sufficient to arrive at a uniquely correct answer.
So, I kindly ask answerers to focus on an ELI5-type explanation: Why is your answer correct (and the only correct one)? Is your explanation ELI5 enough to convince an average person with no formal training in logic?
source: The 2019 National Master's Entrance Examination in Logic in China