Why would one of these blue eyed people think of that particular premise? — flannel jesus
Seems like it requires mind reading to me for them to assume that about everyone else.
If they all could assume that about everyone else, sure, they get off the island. But they have no idea what everyone is committing to. — flannel jesus
it might be — flannel jesus
it exists in a sea of equally valid and arbitrary premises. Suppose they replace 2 with committing to leave on X + 5 days. Or even X - 10 days. — flannel jesus
but you also know it's a valid argument if you replace a2 and B2 with this premise: — flannel jesus
the point you were focusing on is it's validity. — flannel jesus
Therefore, I know that if every person commits to the rule: — Michael
Yes but you don't know that every person will do that. Therein lies the problem — flannel jesus
but they all know they could, and they all, according to you, know exactly the same thing, so they all know they should subtract 95 and it would still work. — flannel jesus
I think adding "we all know the same thing" is something unnatural you added tbh. — flannel jesus
I might seem dismissive and like I'm refusing to accept it — flannel jesus
We all think this never works. You know this doesn't work at low n, but think it does at high n. Therefore it is incumbent on you to find the special n where it starts working — hypericin
Yeah this is definitely an aspect that still bothers me. And it will endlessly make the "guru says nothing" solution distasteful unless it's figured out. — flannel jesus
Either way, I know that everyone with my eye colour knows exactly what I know, and so knows that if every person commits to the rule: "if the n people I see with X eyes don't leave on day n then I will leave on day n+1 and declare that I have X eyes" then everyone will leave the island having correctly declared their eye colour. — Michael
So, through logical deduction, that person must have blue eyes since there are only 100 people in total with blue eyes, that person must conclude that he/she is the 100th person with blue eyes. — night912
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