Steven Higgins and Vivienne Baumfield have recently attempted to defend the
much discussed idea of general thinking skills against attacks from three
quarters, what they regard as a priori objections, which they liken to Zeno
's paradox that Achilles will not catch the tortoise; domains theories of k
nowledge, which oppose the idea of thinking skills being general and transc
ending domains, and the claim that experts use subject specific knowledge,
and don't use general thinking skills. We examine these defences and find t
hem flawed and worrying. We conclude that this is a domain in serious need
of a priori approaches.