 Some respond by arguing that their version of the PJP can satisfy itself (Estlund 2008). Other public reason liberals exclude the PJP from public justification, but they then argue that the exclusion is not arbitrary. (Gaus 2011; Vallier 2016a; Bajaj 2017. This objection applies to any interpretation of the PJP. For a more recent discussion, see Billingham 2017b.)