nshepperd comments on How to Convince Me That 2 + 2 = 3 - Less Wrong
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I think it would even result in any addition with a term ≤ 3 and result > 3 come out to exactly 3, unless you have some sort of rule for S + SSS0 sometimes becoming SSSS0 instead of SSS0.
Note also that an enterprising soul can line up the two steps:
And notice that they are confused, because the SSS0's are identical, even though they shouldn't be, because
Sx + y = x + Sywas the rule applied andSy ≠ y.A brain hack that made all of this work is surely possible, of course, but it seems like it would have to be a bit more systematic.
That seems fair. Would you agree that my original point (that your grasp of logic stems from a physical brain and can be muddled) stands, though?