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This paper proposes that the interpretation of modals is subject to (im)precision (a la Lasersohn 1999), explaining certain contextual domain shifting effects observed by Lewis (1979).  (1)  Bryan: This must be a pen – I'm looking right at it. Alice: Not so; you could be the victim of a deceiving demon.  I argue that Alice raises the standard of precision in (1), thereby widening the domain of have to to include otherwise ignorable worlds. This explains a number of similarities between domain shifting of the type in (1) and canonical cases of imprecision, and simplifies the modal semantics.

Shifting modal domains: An imprecision-based account