This new edition of Introduction to Lattices and Order presents a radical reorganization and updating, though its primary aim is unchanged. The explosive development of theoretical computer science in recent years has, in particular, influenced the book's evolution: a fresh treatment of fixpoints testifies to this and Galois connections now feature prominently. An early presentation of concept analysis gives both a concrete foundation for the subsequent theory of complete lattices and a glimpse of a methodology for data analysis that is (...) of commercial value in social science. Classroom experience has led to numerous pedagogical improvements and many new exercises have been added. As before, exposure to elementary abstract algebra and the notation of set theory are the only prerequisites, making the book suitable for advanced undergraduates and beginning graduate students. It will also be a valuable resource for anyone who meets ordered structures. (shrink)

In a given polity, interactions between the Governed and the Governing Strata are symbiotic. The Governed desire, and indeed need, infrastructure services organized. If such basic foundations are not provided, the economic activity so deeply cherished by both groups cannot be realized. The Governing Strata cannot function without the Governed. After all, without the Governed, there will not be a polity; hence nothing to govern. Regardless of the politico-economic system in effect, this co-dependence is inevitable, inescapable, indenturing both groups to (...) each other. This is the case, regardless of the designation, functions, or the style of the governance system. It matters not if the designation or philosophy of the said governance is a variation of pluralism or authoritarianism by a minority. (shrink)

The techniques of natural duality theory are applied to certain finitely generated varieties of Heyting algebras to obtain optimal dualities for these varieties, and thereby to address algebraic questions about them. In particular, a complete characterisation is given of the endodualisable finite subdirectly irreducible Heyting algebras. The procedures involved rely heavily on Priestley duality for Heyting algebras.

In list-method directed forgetting, reexposure to forgotten List 1 items has been shown to reduce directed forgetting. proposed that reexposure to a few List 1 items only during a direct test of memory reinstates the entire List 1 episode. In the present experiments, part-list reexposure in the context of indirect as well as direct memory tests reduced directed forgetting. Directed forgetting was reduced when 50% or more of the items were reexposed, and was intact when only 25% were reexposed. Furthermore, (...) part-list reexposure appeared to reinstate only reexposed items-not the entire List 1 episode. (shrink)

It is argued that dispositional explanations are radically incomplete causal explanations that are employed when (1) a description of the stimuli is insufficient to account for the object's response and (2) not enough is known about the object to specify what its specific causal contribution is. ryle's failure to refer to the causal contribution of the organism in his account of dispositions is regarded as a serious weakness.