Abstract
Quantities are central to a number of important facets of scientific practice. They are the properties over which our theories generalize, and which many of our experiments provide measurements of. Our contemporary understanding of quantities stems in large part from the Representational Theory of Measurement (RTM). Perhaps the central achievement of this theory is that it provides a compelling account of the conditions under which an attribute can be represented numerically. While this is a critical component of an analysis of quantities, RTM adopts a number of substantive assumptions and it leaves open a number of critical issues. This symposium brings together several of the leading figures in recent discussions of physical quantities with the aim of interrogating these assumptions and facing up to these open issues.