In this response to Robert Orton, I address each of the major points h
e raises and attempt to clarify the discrepancies in our positions. I
give particular attention to his approach of reframing issues in terms
of the categories of traditional academic philosophy. In adopting thi
s stance, Orton (a) presents a highly idiosyncratic interpretation of
the Cartesian dualism, (b) creates a gulf between theory and practice,
and (c) implies that the social and cultural aspects of mathematical
activity can be dismissed. I discuss each of these points and further
develop my position by outlining Putnam's (1987) pragmatic realism, cl
arifying why Rorty's (1979) work might be of interest to mathematics e
ducators, and revisiting Bereiter's (1985) learning paradox. I then co
nclude by exploring the relationship between the resulting nondualist
approach and John Dewey's philosophy and pedagogy.