Rationality is choosing to acknowledge that candlelight is fire, instead of preserving your dignity by maintaining the search.
Now Eliezer has cleverly gotten us to turn down a certain $1,000 by telling us lies about how the other box will contain $1,000,000 if we choose only it! Wasn't that clever of him?
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It took me a while to understand this one because theres allot of assumptions within it. They are;
that the king isnt lying
that the king isnt mistaken
that the inscription isnt lying
that there is infact 1 key or dagger.
All of which have to be taken on faith. Which my brain obviously couldnt handle.
But if you belive all of that. The you should find that; as the king told you one box contained the key, then there is only one key, and of the other box is to be believed "that both boxes contain the same mystery item" then thats a contradiction, which means the opposite box is more likly to be true.
However this is wrong.
If the king is to be believed, then theres a 50/50 chance no matter what box you pick. But if the box is to be believed, then the other box is the container, but it could be lying. Therefore the chance is still an irreducible 50/50. Furthermore, believing either claim would require an assumption that the game was set up fairly or unfairly. And we know assumptions to be fallacies and never to make them.
The answer to the box question can only be worked out once the box is opened and the evidence is found. The validity of the claims can only be tested by using them.
As this is used as a proof of the core sequence “37 ways words can be wrong” “A word fails to connect to reality in the first place.”
I must say that it in no way supports this conclusion.