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View Diary: Sunday Puzzle 2013-04-14 (118 comments)

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  •  sny's logic puzzle: suggested solution # 1... (3+ / 0-)
    Recommended by:
    science, pucklady, sny

    Over in last week's comment thread I suggested two possible solutions for the logic puzzle. (Well, actually three -- but the first one was based on my reading too carelessly and thinking all we were looking for was a test of sanity, rather than a test of sanity and patient-ness, so let's forget that one.)

    There was a slight flaw in my original version of this, which I think I've fixed. Here's a solution I think works. I'm curious to see if others agree.

    Me, to person: Do you think I'm sane?

    Person: I'm not a professional, so I don't know -- but obviously you think you're sane.

    I tried writing that to be something like what an actual conversation could be like. But the essence is a statement which says:
    (a) I'm not a shrink and (b) you think you're sane.
    Since everyone in the puzzle is a truthteller, then both (a) and (b) must be true statements of what the person thinks. And part (b) is obviously a correct belief. Therefore the person is sane. Therefore all their beliefs are correct. Therefore their belief they are not a shrink (and are therefore a patient) is correct.

    None of the other 3 types -- insane patient, insane shrink, or sane shrink -- can make this statement. So the statement identifies the person as a sane patient.

    9 out of 10 of Republicans have never visited Sunday Puzzle

    by Nova Land on Sun Apr 14, 2013 at 05:41:04 PM PDT

    •  Solution (3+ / 0-)
      Recommended by:
      science, Nova Land, pucklady

      I haven't had a chance to think about your solution (and my initial response was probably incorrect), but I'll get back to you after the juliecrostic. Sicence is rolling today (even more so than normal) so it wont be too long.

    •  correct! (1+ / 0-)
      Recommended by:
      Nova Land

      In last week's diary I said this was incorrect, but that was faulty reasoning on my part (actually, it was faulty remembering of the puzzle). There are many solutions to this problem, but I think yours is more interesting since it involves a statement about somebody else's belief, which leads to some interesting types of logics for the logicians and philosophers out there.

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