My argument is that it is possible to gain better understanding of the "unreasonable effectiveness" of mathematics in study of the physical world only when we have understood the equally "unreasonable ineffectiveness" of mathematics in the cognitive sciences (and, more generally, in all the forms of knowledge that cannot be reduced to knowledge about physical phenomena.
My argument is that a more profound comprehension of the "unreasonable effectiveness" of mathematics in the study of the physical world can only be achieved when we have also appreciated the equally "unreasonable ineffectiveness" of mathematics in the cognitive sciences (and, more broadly, in all areas of knowledge that transcend physical phenomena).