Dondersian dreams in brain-mappers' minds, or, still no cross-fertilization between mind mappers and cognitive modelers?

Pulvermuller identifies two major flaws of the subtraction method of neuroimaging studies and proposes remedies. We argue that these remedies are themselves flawed and that the cognitive science community badly needs to take initial steps toward a cross-fertilization between mind mappers and cognitive modelers. Such steps could include the development of computational task models that transparently and falsifiably link the input (stimuli) and output (changes in blood flow or brain waves) of neuroimaging studies to changes in information processing activity that is the stuff of cognitive models.