AlephNeil comments on This is your brain on ambiguity - Less Wrong
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I agree with most of your points, but this stood out:
There's a very important difference between (i) perceiving the black shape as a dancer spinning on her right foot and (ii) deducing that if Socrates is a man, and all men are mortal then Socrates is mortal.
In case (i) the 'premises' (i.e. the animation) didn't contain sufficient information to determine that the conclusion was correct. In case (ii) the premises are sufficient.