Samuel Fletcher (University of Minnesota, Twin Cities)
The concept of emergence, as it is implemented in modern physics, is commonly invoked but rarely defined; even when it is, it is typically only done so informally. Building on recent influential work by Butterfield (2011a,b), I provide precise formal definitions of emergence concepts as they pertain to properties represented in models, applying them to some basic examples from spacetime and thermostatistical physics. The chief formal innovation I employ, similarity structure, consists in a structured set of similarity relations amongst those models under analysis--and their properties--and is a generalization of topological structure.