I would have expected something less dogmatic from Hume, himself a philosopher. The irony is that the Dialectic of Enlightenment is exactly about this kind of attitude spawned with the enlightenment and its relation to the old Greek mythos. Sometimes I think that empiricism fell out of favour for a reason; the wide dismissal of the Continental branch is astonishing and rather ignorant - but who could blame Hume, for German idealism came about after him.