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# ThunderCloud

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1. ## A Prisoner Problem

I had a solution here, but found a flaw in it... *REMOVED*

6. ## The Fork

I'd tend to agree; the liar and truth teller will both claim to offer honest assistance. The liar instead offers dishonest assistance by lying in response to the question, thus making his original offer a lie, and preserving his "alignment" as a liar.
7. ## The Fork

This will work for some similar puzzles, but not this one. The tribesman will answer one question with "Yes" or with "No", and that is all. He will not point to the correct path. Furthermore, as this is a three-way fork, there is still a choice of two "other ways" you can go even if you eliminate one option.
8. ## The Fork

I was thinking the latter... but since you mention it, let's analyze. Do any possible "false offers" from a lying tribesman result in a different approach? The only ways I can think for the offer itself to be a lie is if he will answer more than just one question (which only makes life easier), or will not answer any questions (which means you just have to guess), or will choose his answer from some other set of responses besides "Yes / No" (which I think would leave you with too little information to ask the right question). Any other options I missed?
9. ## The Fork

With a tip of the hat to itsmeee's 999 puzzle, and bonanvoa's Mad Hatter puzzle... You come to a three-way fork in the road. You know that one path leads to your destination, and that the other two paths lead to Certain Doom. You know that in the area is a tribe of truth-tellers and a tribe of liars, both of which will answer appropriately whenever they can, or remain silent whenever they cannot answer a question truthfully (or falsely). A tribesman from one of these tribes -- you know not which -- is standing at the fork, and -- as if for his own amusement -- offers to answer one single q

14. ## four of a kind

In that case, like Sp said. And the number of decks does not matter. well this is embarrassing but for some reason i am getting a higher number, what am i missing?

16. ## The Liar, the Truthteller, and the Trickster

Depending on the behavior of the "alternator" The question can certainly be sharpened. But be careful: in your phrasing, you lost one of my own "sharpenings": Also, note that the questions were not constrained by the OP to the yes-no variety, so I think my original answer makes sense so far as it goes.

Hint: This is not a tedious problem... not much harder than the original. There is a simple way to solve it; a pattern to be observed. An exhaustive description of how each logician answered in his turn would not be very long...
18. ## The Liar, the Truthteller, and the Trickster

Depending on the behavior of the "trickster",

why?
24. ## Square inscribed in a triangle

It always amazes me when people use strategies hidden in the problem that i didn't even consider and even more makes me jealous when their strategy is more efficient than my own. Thanks. Although witzar's answer involves even less work than mine.
25. ## Square inscribed in a triangle

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