Solution of the toughest logic puzzle ever - the three gods riddle

Click here for the riddle

Solution

First, ask the god standing in the middle, "If I were to ask you if the god to your left is Random, would you say ja?"

If the god says ja, then there are two possibilities: either the god to his left is Random, and the god speaking is either True or False; or the god speaking is Random. Either way, you know the god to his right is not Random.

Similarly, if the god says da, then there are two possibilities: either the god to his right is Random, and the god speaking is True or False; or the god speaking is Random. In this case, you know the god to the left is not Random.

The next step is to approach the god that you know is not Random, and figure out if he is True or False. Because you still do not know the meanings of ja and da, you need to do this by using the same hypothetical structure, asking, "If I were to ask you if you are True, would you say ja?" If the god is True, they will answer ja. If the god is False, they will answer da. (False's response in this case is essentially either: "no I would not say yes," even though he would; or "yes I would say no," even though he wouldn't.)

Finally, now that you have identified a god as either True or False, you can use the same question structure one last time to identify the other gods (you need to stick to it because you still don't know the meanings of ja and da). Simply ask, "If I were to ask you if the god in the middle is Random, would you say ja?" If the answer is ja, then the god in the middle is Random, and the third god is either True or False (the opposite of the one you have already identified). If the answer is da, then the god in the middle is True or False, and the third god is Random.

Congratulations! You have identified the three gods despite their stubborn refusal to speak English. Interestingly enough, you must not waste a question to figure out what ja and da mean, otherwise you would not have enough questions left to identify all three gods. So you leave the archipelago that these gods rule over, and the knights and knaves who worship them, with promises of good fortune and prosperity.

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