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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Yes, but a majority of people are susceptible to the same perceptual illusions. Anyone done a study on which illusions are stronger than others? The blue vs gold dress illusion had people seeing it differently. Color perception may have larger variances than shadows.
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