 A few workers maintain both that there are purely predicative general terms and that some of them, like ‘honeybee’, are rigid. According to a now-familiar suggestion along these lines, what makes the application of a general term F rigid is that any item x to which the term applies, in any possible world, is part of the extension of F in all worlds in which x exists, x being an F essentially (Cook 1980; Devitt 2005; Devitt and Sterelny 1999, pp. 85–6; Gómez-Torrente 2006). This notion of rigid application might hold some attraction for someone bothered by the objections just mentioned against the view that terms rigidly designate properties. It would appear that terms for natural kinds but not artificial ones come out rigid: thus, ‘honeybee’ is rigid because any particular honeybee is essentially a honeybee and could not have been something else like a dragonfly or a fir tree instead. But ‘livestock’ does not apply rigidly according to this account because animals that are livestock are not essentially so. Neither does ‘(is a member of the-/the-) species typically farmed for honey’ apply rigidly according to this account. Furthermore, the account appears to be open to nominalism (about properties): nominalists recognize the legitimate application of general terms. 