Suppose there is an island full of green eyed people and blue eyed people but nobody knows the color of their own eyes, there is no possible way for a person to discover their own eye color, and nobody can directly communicate to one another about their eye color. Now this island has a special rule, which is that if anyone were to somehow discover that they had blue eyes then they must leave the island by dawn of the next day. One day an explorer from a land far far away stumbles upon the island, gathers all the people on the island together, and tells them that there is at least one person on the island who has blue eyes. When the next morning arrives the people discover that nobody has left the island. Given that the amount of people on the island who have blue eyes is k, where k>1, how many dawns will it take for each blue eyed person to realize they have blue eyes?
The explorer doesn't care about this island's gay little rules so he enslaves everyone, green eyed and blue, because they're not Christian
I'm OP sorry guys I forgot to mention that the explorer is black and has impregnated all the women on the island and their babies all have brown eyes. don't know if this helps solve the problem!
>>16907454If k were 1 (precluded in scenario but still worth discussing) this person would realize it must be him and leave.At k=2, the fact that neither left indicates that k>1, these people each see 1 person with blue eyes so therefore they must be the remainder.Extend to k=3 and each of them sees two people with blue eyes that didn't leave when they should have in the k=2 case so then they all leave the next day.By induction, it takes either k or k-1 dawns depending on what you count as the first dawn.No matter what k is, they all leave on the same day.
>>16907454Basically this is how your scenario plays out >>16907469And colour distinctions in language is completely subjective. Many languages don't have a clear distinction between the colour blue and green, IIRC Japanese being one of them as an example.
>>16907454Why are you trying to make this a math problem when its entirely a psychological problem. Besides, once the first blue eyes left they'd just shrug their shoulders and go "well he must have been the one" but this thought experiment is also retarded. Just because they can't look at themselves or share information they can physically see everyone else has blue eyes.
>>16907454You're telling it wrong. After the revelation, you're supposed to ask, does anyone leave the island, and if so, when? You're giving too much away already.
>>16910345>It's another "this logic problem is actually a psychological matter" episodeSure brahJust like Monty HallThe point is that the taboo is ingrained, and if anyone finds out they have blue eyes, they will take it upon themselves to leave. They do not look for an excuse. That's why no one ever talks about it and they have no reflective surfaces.
