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Schlenker (2012) proposes that when framed within a modern Stalnakerian view of presupposition and common ground (Stalnaker, 1998, 2002), Maximize Presupposition! (Heim, 1991; Sauerland, 2008) can be viewed as a special case of the maxim of Quantity (Grice, 1975).
We provide data suggesting that in some cases, Maximize Presupposition! applies even when speakers are not expected to use a presupposition as vectors of new information. We argue that these data support the view that Maximize Presupposition! is an independent pragmatic principle, distinct from Quantity.
Revising a proposal by Guerzoni (2003), we propose to derive universal projection of presuppositions in wh-questions, where attested, from a family of three felicity conditions on question use. Assuming that these felicity conditions can be violated under certain conditions, this proposal predicts a typology of contexts where universal projection can exceptionally be unattested. We propose that this prediction is correct, presenting a family of scenarios where the expected absence of universal projection is observed.