Abstract
Ordered sets arise in artifact dating in archaeology, in preference measurement in psychology, in hierarchies in sociology, in decision problems in economics and political science. In this lecture, we discuss the nature of the ordered sets that arise in each of these disciplines and the nature of the problems in ordered sets that arise. Finally we shall consider the order-theoretic aspects of two problems that arise throughout these fields: the problem of determining a consensus from a group of orderings and the problem of making statistically significant statements about orderings.
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