"A scientist works largely by intuition. Given enough experience, a scientist examining a problem can leap to an intuition as to what the solution 'should look like.' ... Science is ultimately based on insight, not logic."

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... All ideas need to be heard, because each idea contains one aspect of the truth. By examining that aspect, we add to our own idea of the truth. Even ideas that have no truth in them whatsoever are useful because by disproving them, we add support to our own ideas.

— John Stuart Mill