- Two suspects: Jacques & Gilles. It's been proven that one of them is guilty and deserves decapitation, but we do not know which one.
- Jacques is guilty if and only if both statements P and Q are true. Otherwise, Gilles gets the guillotine...
- There are 9 independent judges and an arbiter (you) who interprets their collective decision with no information about the case.
- 4 judges think P&Q are true
- 3 believe only P is true and that Q is false
- 2 believe only Q is true and that P is false
- 5 judges think both P&Q are true
- 4 judges think P is false and Q is false
- 5 judges think P&Q are true
- 2 believe only P is true and that Q is false
- 1 believes only Q is true and that P is false
- 1 believes that P is false and Q is false
What is your verdict for each of these situations? Perhaps this thread needs to move to philosophical banter?