Abstract
As we discussed in the opening chapter of this volume, cycling is a persistent and troubling problem for formal models in comparative politics. While the problem is not as acute in single-dimensional problems as it is in multi-dimensional models, chapter five demonstrated that a fuzzy set theory approach can reduce the problem substantially in spatial models. In this concluding chapter we give consideration to the degree to which fuzzy spatial models are plagued by cycling. We argue that while the use of fuzzy math reduces the extent of the problem in a number of circumstance, it does not do away entirely with cycling. We conclude by identifying future avenues for research on this important topic.