Reply: One response to this would be to deny the view that names and demonstratives are directly referential. Another would be to deny that inferential roles provide the only penumbral constraints on precisifications. Weatherson 2003b sketches a theory that does exactly this. The theory draws on David Lewis's response to some quite different work on semantic indeterminacy. As many authors (Quine 1960, Putnam 1981, Kripke 1982) showed, the dispositions of speakers to use terms are not fine-grained enough to make the language as precise as we ordinarily think it is. As far as our usage dispositions go, ‘rabbit’ could mean undetached rabbit part, ‘vat’ could mean vat image, and ‘plus’ could mean quus. (Quus is a function defined over pairs of numbers that yields the sum of the two numbers when they are both small, and 5 when one is sufficiently large.) But intuitively our language is not that indeterminate: ‘plus’ determinately does not mean quus.