Quote (peterqwer @ 3 Dec 2012 22:04)
“If I am not blue-eyed, then there will only be n-1 blue-eyed people on this island, and so they will all commit suicide n-1 days after the traveler’s address”
ok értem, ha mondjuk 1 kékszemű lenne rajtad kívül, akkor másnap öngyilkosnak kéne lennie, mivel ő nem lát másik kékszeműt-ezt értem,
ha 2 kékszemű van rajtad kívül, akkor ők egy kékszeműt látnak-ha nem lesz másnap öngyilkos senki, akkor rájönnek, hogy mindketten kékszeműek, és harmadnap öngyilkosok lesznek.. és így tovább
így érthető sztem
jah vmi ilyesmi
We induct on n. When n=1, the single blue-eyed person realizes that the traveler is referring to him or her, and thus commits suicide on the next day. Now suppose inductively that n is larger than 1. Each blue-eyed person will reason as follows: “If I am not blue-eyed, then there will only be n-1 blue-eyed people on this island, and so they will all commit suicide n-1 days after the traveler’s address”. But when n-1 days pass, none of the blue-eyed people do so (because at that stage they have no evidence that they themselves are blue-eyed). After nobody commits suicide on the (n-1)^{st} day, each of the blue eyed people then realizes that they themselves must have blue eyes, and will then commit suicide on the n^{th} day. \Box \diamond
This post was edited by ElCapitano on Dec 3 2012 02:09pm