The nature of the dynamical hypothesis in cognitive science
(the DH) is further clarified in responding to various criticisms and
objections raised in commentaries. Major topics addressed include the
definitions of “dynamical system” and “digital
computer”; the DH as Law of Qualitative Structure; the DH as an
ontological claim; the multiple-realizability of dynamical models; the
level at which the DH is formulated; the nature of dynamics; the role
of representations in dynamical cognitive science; the falsifiability
of the DH; the extent to which the DH is open; the role of temporal
and implementation considerations; and the novelty or importance
of the DH. The basic formulation and defense of the DH in the target
article survives intact, though some refinements are
recommended.