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Cake day: June 13th, 2023

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  • Yeah. It does seem counterintuitive, but it’s a result of the uncertainty that what they see is what others do. So they have to communicate a number, and the only way they can is leaving or not each night to count up to it.

    I thought about it more and concluded that if the guru had said “I see only blue and brown eyed people” then everyone (but her) could leave the island using the same logic, regardless of how many of each color there was (greater than zero of course because otherwise she wouldn’t see that color). Same for any number of colors too as long as she lists them all and makes it clear that’s all of them and doesn’t include herself.


  • Same way it expands to two: When there are three blue eyes, then each of them guesses they might have brown or something and there could be only two blue on the island, in which case as described those two would have left on the second night.

    But they didn’t… So there must be three total. Same with 4, the 3 you can see would have left on night 3 if each of them saw the other two not leave on night 2…

    Leaving or not is the only communication, and what the guru really did was start a timer. It has to start at 1 even though everyone can see that there’s more than one simply due to the constraints of the riddle - if the guru were allowed to say ‘I see at least 50 blue eyed people’ then it would start at 50 because there’s no other fixed reference available. Everyone knows there’s either 99 or 100, but they don’t know which of those it is, so need a way to count to there. They also think everyone else can see anything from 98 to 101 depending, so it’s not as straightforward as thinking the count could start at 99.













  • I can think of a couple ways around that, the easiest is that I actually think time travel is impossible. (Like this for example)

    If it’s not impossible, then single-timeline travel probably is, and all (backwards) travel would start a new timeline.

    Short of that, maybe something ridiculous would have happened when the traveler “first” went back, like one of them tripping or whatever, and the handshake they agreed to try didn’t go as planned, and then “still” didn’t the traveler’s second time. Basically this.



  • I think from a physics standpoint, strict free will is already an illusion and the only useful definitions of free will basically boil down to “choices can be made”, perhaps as far as “Slight differences in initial conditions can lead to different choices” (but somehow excluding random processes). That kind of definition doesn’t even require consciousness, and is compatible with a deterministic universe like ours seems mostly to be. Would also be compatible with the time traveler unwittingly doing everything as must happen, but still via individual choices.