This paper builds upon ethnomethodological and social constructivist studies of representation in the natural sciences to examine sociological theory, a field that is much closer to home. An analysis of diagrams and related illustrations in theory texts shows that labels, geometric boundaries, vectors, and symmetries often are used to convey a sense of orderly flows of causal influences in a homogeneous field. These graphic elements make up what I call a "rhetorical mathematics" that conveys an impression of rationality. Although theory (...) pictures rarely show much beyond what a text already says in its writing, they simulate a hermeneutic passage from written ideas to an independent representational or mathematical space. The paper discusses two modes of textual disruption of the rhetorical mathematics of theory pictures: parody and deconstruction. Parody makes ironic use of graphic devices in order to expose the rationalistic associations that come with the territory. Deconstruction displaces (and, if taken far enough, dissolves entirely) the Flatland of pictorial rationality. These negative maneuvers raise the possibility of using figural space for alternative modes of sociological inquiry. (shrink)

A general account of modeling in physics is proposed. Modeling is shown to involve three components: denotation, demonstration, and interpretation. Elements of the physical world are denoted by elements of the model; the model possesses an internal dynamic that allows us to demonstrate theoretical conclusions; these in turn need to be interpreted if we are to make predictions. The DDI account can be readily extended in ways that correspond to different aspects of scientific practice.

Required reading at more than 100 colleges and universities throughout North America.

"Groundbreaking when first published in 1969, this book is now of even greater relevance to make the reader aware of the need to educate the visual sense, a ...

Models as Mediators discusses the ways in which models function in modern science, particularly in the fields of physics and economics. Models play a variety of roles in the sciences: they are used in the development, exploration and application of theories and in measurement methods. They also provide instruments for using scientific concepts and principles to intervene in the world. The editors provide a framework which covers the construction and function of scientific models, and explore the ways in which they (...) enable us to learn about both theories and the world. The contributors to the volume offer their own individual theoretical perspectives to cover a wide range of examples of modelling, from physics, economics and chemistry. These papers provide ideal case-study material for understanding both the concepts and typical elements of modelling, using analytical approaches from the philosophy and history of science. (shrink)