The document discusses two types of inconsistencies in Kant's Groundwork: 1) Internal inconsistency within a maxim when what is intended is not possible. 2) Inconsistency between specific and underlying intentions when comparing them. While O'Neill views the second as a problem, Kant and Rawls argue it does not contradict hypothetical imperatives or empirical practical reason. The debate centers around what constitutes an inconsistent maxim in Kantian ethics.