  Of course, a natural response for defenders of the  truthvaluelessness view is to reject the Tarskian  truth-schema.[22]   Indeed, arguably, the semantic paradoxes such as the Liar already motivate the rejection of the schema for reasons entirely independent of category mistakes. Against this, defenders of the schema have suggested that the semantic paradoxes might be addressed in a way that does not require a commitment to truth-valueless propositions. One potential assessment of the dialectical situation is this: perhaps accounting for the infelicity of category mistakes is not on its own sufficient to ground a rejection of the truth schema, which is often thought to be fundamental to our concepts of truth and falsity. However, if the schema ought to be rejected on independent grounds, then applying the apparatus of truth-valueless propositions to the case of category mistakes looks attractive. If we accept this assessment, then the issue of whether one should accept the truthvaluelessness view turns on the much wider issue of our response to the semantic paradoxes.