It may be argued that the deflationary nominalist needs to provide the semantics for the existential and universal claims in mathematics, science and ordinary language. After all, it does sound puzzling to state: “It is true that there are numbers, but numbers do not exist”. What is such semantics? The deflationary nominalist will respond by noting that this semantics is precisely the standard semantics of classical logic, with the familiar conditions for the existential and universal quantifiers, but without the assumption that such quantifiers are ontologically committing. The fact that no ontological import is assigned to the quantifiers does not change their semantics. After all, the metalanguage in which the semantics is developed already has universal and existential quantifiers, and these quantifiers need not be interpreted as providing ontological commitment any more than the object language quantifiers do. As a result, the same semantics is used throughout.