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Re:   The neural correlates of a mental behavior being the same thing as the mental behavior.

Consider the neural correlates of a physical behavior (let’s say tapping your foot).  With the tap of your foot, there are neural correlates.  The neural correlates are not the entire behavior, but they are definitely a requisite part of the behavior.

With consciousness behaviors, the neural correlates happen simultaneously with the subjective experiencing.  So in this case, the behavior is a composite of the neural correlates (which can potentially be crudely detected with existing technologies) on the one hand, and on the other hand, the subjective experience which cannot be, outwardly, directly, detected.