Intuition is the part of your knowledge that you cannot test for correctness. Proving correctness requires deriving a very low dimensional representation, so you can apply analytic operators. Most of the functions that a brain approximates cannot be translated into that form.
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Visual illusions reveal the algorithm of how brains make sense of the world. What we see is our minds automatically (i.e. instinctively) filling out the details. It does not render the original in our minds, but rather annotated versions that are not real but have a purpose.
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Not all people are subject to the same perceptual illusions, which suggests that often there are multiple possible function approximators with similar discriminatory powers.
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