(The following IMHO moment is inspired by Carl Sagan, in his book The Demon-Haunted World)
If those who believe in the existence of extraterrestrial intelligence (ETI) currently among us here on Earth are even remotely to be believed, we must have evidence.
The physical claims (disturbed earth at landing sites, implants, parts from the Roswell landing, ets) have repeatedly been insubstantial, and those that are not are more easily and completely explained by much more mundane phenomena. Until and unless some substantive physical evidence comes to light, we don’t have anything there to go on.
But all is not lost–oh no! There are many who assert that they have been or are in direct verbal or mental contact with an ETI. Alas, we have no empirical evidence for this–we must simply take their words for it.
Fair enough. Purely as an intellectual exercise, let’s take their words for it.
Situation:
*You are approached by someone who claims to channel/communicate with an alien. (Alternatively, one who claims to be an alien.)
“I can prove it,” he says. “Ask me anything,” he says, “anything at all.”*
What do you ask? What can one ask an alleged ETI that will, if not prove, at least strongly suggest he is truly otherworldly?
Ideally, any such question would have to be beyond the realm of current human knowledge, but we must still be able to recognize a correct answer. But there may be some very useful queries that do not meet that ideal. We’ll assume no serious difficulties in communication.
A first suggestion (from Sagan):
“Please provide a brief proof of Fermat’s Last Theorem.”
Ideas?