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davidt8412/09/20244 repliesview on HN

Yeah, I'm a bit confused there is no option "he has at least one non-green hat", which is what I would answer.

Perhaps that means I'm wrong.


Replies

qsort12/09/2024

It's a multiple choice question, it's asking "which of the following is necessarily implied", and A is the only one.

InsideOutSanta12/09/2024

Whether you are wrong depends on whether you interpret his statement in a mathematical or in a colloquial sense. Colloquially, if I have no cats and tell you "all my cats are brown", you'd say that I'm lying, beause I'm implying that I have cats. Mathematically, if I have no cats, then it is true to say that all of the ones I have, which are zero, are brown.

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gpderetta12/09/2024

Agree it must be true that it has at least one hat, and it must be non-green (he might have other green hats).

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JKCalhoun12/09/2024

"Which, if any, of the following statements can we conclude from what the liar has said?"