The adverbial theory of properties

The paper presents a novel version of universalism—the thesis according to which there are only universals, no individuals—which is cashed out in terms of an adverbial analysis of predication. According to the theory, every spatiotemporal occurrence of a universal U can be expressed by a sentence which asserts the existence of U adverbially modified by the spatiotemporal region at which it exists. After some preliminary remarks on the interpretation of natural language, a formal semantics for the theory is first provided, along with an intended interpretation of its key metaphysical imports. Follow some commentaries on the spatiotemporal manifold and determinable properties.