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gjm comments on Innate Mathematical Ability - Less Wrong
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How fancy? I solved it by thinking in terms of “canceling each other out”. So if a small circle is in cell 1 and cell 2 of a row, they cancel each other out and don't appear in cell 3, but if the circle is only in cell 1 or cell 2, it is preserved. The intuition of canceling each other out is taught to children as early as they're taught fractions: (2*3)/(3*5) = 2/5, because if 3 is both in numerator and denominator, you cross it out. This doesn't require knowing anything about logical operators.
Yup, that's about the level of fanciness. Not too bad, as you say, but I think harder to think of than four things forming a rectangle. (But maybe easier to notice, as I suggested above.)