Presupposition-denying uses of even

This paper explores a puzzling contrast: even can be used in denials of presuppositions, but only when it appears below negation. I present a solution to this puzzle that makes crucial use of the additive presupposition of \emph{even}. This presupposition is controversial; I argue that the evidence used to challenge its presence does not show what it is claimed to show. I show that the puzzle is not unique to English and sketch crosslinguistic implications of the proposed analysis