The Metaphysics Of Quantities

What are physical quantities, and in particular, what makes them quantitative? This book articulates and defends an original answer to this important, insufficiently understood question through the novel position of substantival structuralism. This position argues that quantitativeness is an irreducible feature of attributes, and quantitative attributes are best understood as substantival structured spaces. The book first explores what it means for an attribute to be quantitative, and what metaphysical implications a commitment to quantitative attributes has. It then sets the stage to address the metaphysical and ontological consequences of the existence of quantitative attributes.

What are physical quantities, and in particular, what makes them quantitative? This book articulates and defends an original answer to this important, insufficiently understood question through the novel position of substantival structuralism. This position argues that quantitativeness is an irreducible feature of attributes, and quantitative attributes are best understood as substantival structured spaces. The book first explores what it means for an attribute to be quantitative, and what metaphysical implications a commitment to quantitative attributes has. It then sets the stage to address the metaphysical and ontological consequences of the existence of quantitative attributes.

Metaphysics is sensitive to the conceptual tools we choose to articulate metaphysical problems. Those tools are a lens through which we view metaphysical problems, and the same problems will look different when we change the lens. In this book, Theodore Sider identifies how the shift from modal to "postmodal" conceptual tools in recent years has affected the metaphysics of science and mathematics. He highlights, for instance, how the increased consideration of concepts of ground, essence, and fundamentality has transformed the debate over structuralism in many ways. Sider then examines three structuralist positions through a postmodal lens. First, nomic essentialism, which says that scientific properties are secondary and lawlike relationships among them are primary. Second, structuralism about individuals, a general position of which mathematical structuralism and structural realism are instances, which says that scientific and mathematical objects are secondary and the pattern of relations among them is primary. And third, comparativism about quantities, which says that particular values of scientific quantities, such as having exactly 1000g mass, are secondary, and quantitative relations, such as being-twice-as-massive-as, are primary. Sider concludes these discussions by considering the meta-question of when theories are equivalent and how that impacts the debate over structuralism.

Metaphysics has shifted ground, moving away from necessity and possibility as the lens through which we look at things. Ted Sider shapes the agenda for the subject by exploring how this shift transforms the project of understanding the objects, properties, and quantities of the universe, and the relations between them, in terms of structures.

The larger project of which this volume forms part is an attempt to craft a coherent doctrine of divine eternity and God's relationship to time. Central to this project is the integration of the concerns of theology with the concept of time in relativity theory. This volume provides an accessible and philosophically informed examination of the concept of time in relativity, the ultimate aim being the achievement of a tenable theological synthesis.

Philosophical questions regarding both the existence and nature of properties are ubiquitous in ordinary life, the sciences, and philosophical theorising. In philosophy, it is one of the oldest topics discussed in various intellectual traditions – East and West – reaching back to Plato and Aristotle. Today, in the analytic tradition, properties continue to be a core area of study and research. The Routledge Handbook of Properties is an outstanding reference source to this perennial topic and is the first major volume of its kind. It contains forty specially commissioned chapters written by an international team of expert contributors, and is divided into nine clear parts: Methodology and Metaontology Distinctions Realism about Universals Nominalism Trope Theory Properties in Causation, Time, and Modality Properties in Science Properties in Language and Mind Properties in the Normative Realm, the Social World, and Aesthetics The Routledge Handbook of Properties is essential reading for anyone studying and researching metaphysics, metametaphysics, and ontology, and will also be of interest to those in closely related areas such as philosophy of science, philosophy of language, philosophy of mind, ethics, and aesthetics.

Develops and defends a new metaphysical and logical theory of arbitrary objects that will reinvigorate the philosophy of mathematics.