 The internal/external conception contrast no longer serves to classify public reason liberals. Vallier and Muldoon (2021) have argued that public reason has split into two projects. The first project, which they call the coherence project, characterizes the internal conception; it involves rendering our political ideals consistent. The project contrasts with the diversity project; diversity theorists use diverse reasoning to achieve real-world public justification. Vallier and Muldoon (2021) set the external conception aside.