There is a strong need to connect agricultural research to social movements and community-based food system reform efforts. Participatory research methods are a powerful tool, increasingly used to give voice to communities overlooked by academia or marginalized in the broader food system. Plant breeding, as a field of research and practice, is uniquely well-suited to participatory project designs, since the basic process of observing and selecting plants for desirable traits is accessible to participants without formal plant breeding training. The challenge (...) for plant breeders engaged in participatory research is to consider not only how their work incorporates farmer input in developing new varieties, but also how it interacts with broader questions of food sovereignty, food justice, diversity and democratization in the food system. This article examines these issues in the context of the Seed to Kitchen Collaborative, a participatory variety evaluation and breeding project at the University of Wisconsin-Madison. (shrink)

Varieties of chemical and phase equilibria are controlled by the minimum Gibbs energy principle, according to which the Gibbs energy for a system will have the minimum value at any given temperature and pressure. It is understood that the minimum is with respect to all nonequilibrium states at the same temperature and pressure. The abstract relation between Gibbs energy and the equilibrium constant is deduced from fundamental laws of thermodynamics. However, actual use of this relation calls for the Gibbs energy (...) as a function of concentrations of the chemicals. Since thermodynamics is formulated without any reference to materials, how does one get that relation? This article provides the answer, and in the process shows that application of theory to experiments requires several intermediate layers where theory and experiment commingle. (shrink)

Some factors which are of great importance in most human affairs seem to play relatively little role in mathematics. We give some examples and suggest reasons why this might be expected to be the case.