But when the criterion is applied to false existential sentences, trouble immediately arises. For example, since there are no centaurs, the open sentence ‘Centaur(x)’ is not true of any objects of any kind, and so ‘∃x Centaur(x)’ is not ontologically committed to any kind of entity. The same goes for ‘∃x Unicorn(x)’, and all other false existential sentences. But, then, all false existential sentences have the same ontological commitment, namely, none. And that's wrong on two counts: ‘∃x Centaur(x)’ and ‘∃x Unicorn(x)’ are ontologically committing; and their ontological commitments are not the same.