Conveying ignorance. Ignorance inferences with superlative numeral modifiers

This paper investigates the inferences of ignorance that come with superlative numerals, like at least n and at most n. It argues that these are better understood as primary implicatures that are derived in a neo–Gricean framework together with a standard epistemic logic. In doing so, the paper supports the view of superlative numerals first advanced by Büring (2007) and further elaborated by Schwarz (2013), where the ignorance inferences that they convey are equal to those of a disjunctive expression, of the form exactly n or more/less than n.