The Logical Space of Social Trinitarianism

I try to lay bare some of the conceptual space in which one may be a Social Trinitarian. I organize the paper around answers to five questions. These are: How do the three Persons of the Trinity relate to the Godhead? How many divine beings or gods are there? How many distinct centers of consciousness are there in the Godhead? How many omnicompetent beings are there? How are the Persons of the Trinity individuated? I try to make clear costs and benefits of various answers to these questions

The Metaphysics of Alvin Plantinga

This is an article on the metaphysics of Alvin Plantinga. It is from the Blackwell Companion to Metaphysics (2009)

Noncommutative Choquet theory

We introduce a new and extensive theory of noncommutative convexity along with a corresponding theory of noncommutative functions. We establish noncommutative analogues of the fundamental results from classical convexity theory, and apply these ideas to develop a noncommutative Choquet theory that generalizes much of classical Choquet theory. The central objects of interest in noncommutative convexity are noncommutative convex sets. The category of compact noncommutative sets is dual to the category of operator systems, and there is a robust notion of extreme point for a noncommutative convex set that is dual to Arveson's notion of boundary representation for an operator system. We identify the C*-algebra of continuous noncommutative functions on a compact noncommutative convex set as the maximal C*-algebra of the operator system of continuous noncommutative affine functions on the set. In the noncommutative setting, unital completely positive maps on this C*-algebra play the role of representing measures in the classical setting. The continuous convex noncommutative functions determine an order on the set of unital completely positive maps that is analogous to the classical Choquet order on probability measures. We characterize this order in terms of the extensions and dilations of the maps, providing a powerful new perspective on the structure of completely positive maps on operator systems. Finally, we establish a noncommutative generalization of the Choquet-Bishop-de Leeuw theorem asserting that every point in a compact noncommutative convex set has a representing map that is supported on the extreme boundary. In the separable case, we obtain a corresponding integral representation theorem.Comment: 81 pages; minor change

Direct Reference and Singular Propositions

Most direct reference theorists about indexicals and proper names have adopted the thesis that singular propositions about physical objects are composed of physical objects and properties.1 There have been a number of recent proponents of such a view, including Scott Soames, Nathan Salmon, John Perry, Howard Wettstein, and David Kaplan.2 Since Kaplan is the individual who is best known for holding such a view, let's call a proposition that is composed of objects and properties a K-proposition. In this paper, I will attempt to show that a direct reference view about the content of proper names and indexicals leads very naturally to the position that all singular propositions about physical objects are K-propositions.3 Then, I will attempt to show that this view of propositions is false. I will spend the bulk of the paper on this latter task. My goal in the paper, then, is to show that adopting the direct reference thesis comes at a cost problems the view has with problems such as opacity and the significance of some identity statements; it comes at even more of a cost)

Interaction on the Frontier of the 16\u3csup\u3eth\u3c/sup\u3e-17\u3csup\u3eth\u3c/sup\u3e Century World Economy: Late Fort Ancient Hide Production and Exchange at the Hardin Site, Greenup County, Kentucky

This study assesses the organization and intensity of hide processing from sequential occupations at the Late Fort Ancient (A.D. 1400-1680) Hardin Site located in the central Ohio Valley. Historical and archaeological sources were drawn on to develop expectations for production intensification: 1) an increase in production tool quantity, 2) an increase in production debris quantity, and 3) an increase in tool utilization intensity. Many Native groups situated on the periphery of early European colonies intensified hide production to meet demand generated by an emerging global trade in hides. As this economic activity intensified in the 16th and 17th centuries it incorporated and ever greater network of native communities. By documenting production intensification at the Hardin Site, this study evaluates the degree to which global markets incorporated regions beyond the colonial periphery before A.D. 1680. This study also examines the social dimensions of economic activity by asking who processed hides, who may have benefited from the products of this labor, and whether or not either of these were influenced by participation in the tumultuous interaction sphere of the eastern North American Contact Period

Polymerisation of a terpene-derived lactone: A bio-based alternative to ԑ-caprolactone

A high-yielding 4-step process for converting a naturally occuring terpene, β-pinene, into a substituted ԑ-caprolactone is herein reported. Investigations into the ring-opening polymerisation and copolymerisation of this monomer are also described

Darcy Otto, Tony Roy, Matthew Davidson CD Fall 2006

Supports faculty to redesign or develop a course in ways that implement high-impact, evidence-based, and/or innovative teaching strategies to improve student learning