Oddness, modularity, and exhaustification

According to the ‘grammatical account’, scalar implicatures are triggered by a covert exhaustification operator present in logical form. This account covers considerable empirical ground, but there is peculiar pattern that resists treatment given its usual implementation. The centers on odd assertions like #Most lions mammals and #Some Italians come from beautiful country, which seem trigger contexts where enriched readings conflict with information common ground. Magri (Nat Language Semant 17(3):245–297. https://doi.org/10.1007/s11050-009-9042-x , 2009; Pragmat 4(6):1–51. https://doi.org/10.3765/sp.4.6 2011) argues that, for these cases, basic grammatical approach has be supplemented stipulations obligatory based formal computations blind In this paper, I argue accounts of oddness should allow possibility felicitous call revision including explicit unusual beliefs such as Most not all Some Italy. To adequately cover similar propose Magri’s version Grammatical refined novel hypothesis triggers bifurcation between presupposed (the negated relevant alternatives) at-issue prejacent) content. explanation full pattern, cases proposals revise follows interaction content an independently motivated constraint accommodation. Finally, treating presupposition helps solve various independent puzzles faced extant accounts, motivates substantial standard overt exhaustifier only.