We investigate the form of mathematical structuralism that acknowledges the existence of structures and their distinctive structural elements. This form of structuralism has been subject to criticisms recently, and our view is that the problems raised are resolved by proper, mathematics-free theoretical foundations. Starting with an axiomatic theory of abstract objects, we identify a mathematical structure as an abstract object encoding the truths of a mathematical theory. From such foundations, we derive consequences that address the main questions and issues that (...) have arisen. Namely, elements of different structures are different. A structure and its elements ontologically depend on each other. There are no haecceities and each element of a structure must be discernible within the theory. These consequences are not developed piecemeal but rather follow from our definitions of basic structuralist concepts. (shrink)

The present information explosion on the World Wide Web poses a problem for the general public and the members of an academic discipline alike, of how to find the most authoritative, comprehensive, and up-to-date information about an important topic. At the Stanford Encyclopedia of Philosophy (SEP), we have since 1995 been developing and implementing the concept of a dynamic reference work (DRW) to provide a solution to these problems, while maintaining free access for readers. A DRW is much more than (...) a web-based encyclopedia, and its scope far exceeds that of an electronic journal or preprint exchange. In this arti cle we document the progress of the SEP toward full implementation of the DRW concept. We discuss the fiscal challenges posed by our desire to maintain free or low-cost access to the contents of the SEP, and we consider technological challenges posed by the desire to stay abreast of technological developments in docu ment markup while making it easy for authors and subject editors to write and maintain entries representing the very best scholarship. (shrink)

In this entry, the authors outline the goals of a "dynamic reference work", and explain how the Stanford Encyclopedia of Philosophy has been designed to achieve those goals.