The number of scientific publications on executive function currently increases exponentially. Yet, the explanantory power of that psychological construct remains obscure.
As a purely psychological contruct, without any claims about its implementation in the brain, the main issues surrounding it remain unresolved: These issues concern the dimensionality of executive function (this is akin to the historical difficulties to determine the dimensionality of intellectual function), and the validity (convergent, divergent, predictive) and reliability of executive measures. To put it shortly, none of these fundamental issues has hitherto been resolved up to a satisfactory degree.
With regard to the implementation of executive function in the brain, my conclusion is similarly pessimistic, in that to date we do not possess a feasible functional brain map of executive function. Of course, a solution of the neuropsychological problems that are associated with executive function presupposes a solution of the named psychological problems surrounding that enigmatic construct.
It is my impression, after more than 25 years in the field, that psychological science needs paradigm shifts at multiple levels (i.e., methodological and theoretical) if we ever want to resolve the many diffculties that are related to the scientific study of executive function.