The Use of Seneca’s Texts in Antonii Radyvylovskyi’s Sermons

In this paper, through the example of Antonii Radyvylovskyi’s work, I examine the impact of Seneca’s texts on the philosophical component of Ukrainian church sermons from the Baroque period. The objective of this study is to investigate Radyvylovskyi’s use of Seneca’s texts in his own writing. The result should help better understand the ideological influence of ancient philosophy on the formation of the national philosophical tradition of the Baroque epoch. The contents of ideological borrowings from Seneca’s texts and the mechanisms of their use are traced. A list of Seneca’s texts from which Radyvylovskyi quotes is provided. It is also shown that Radyvylovskyi uses Seneca’s authority in his moral teachings and philosophical thinking about the characteristics of human nature. We conclude by commenting on Radyvylovskyi’s creative use of Seneca’s ideas and the significant philosophical component of his written legacy

The Effects of the Affordable Care Act on Large Employers and the Impact on the Human Resources Function

[Excerpt] The purpose of this paper is to explore how Fortune 500 companies have been affected by the passing of the Affordable Care Act (ACA). More importantly, this paper will explore what strategies companies have adopted, and what the legislation means to the following stakeholders: company boards, executives, managers, employees, the Human Resource function, and the Benefits staff

Undue Sacrifice: How Female Sexual Assault Victims Fight the Military While Fighting in the Military

Over the last century, women have fought for the right to serve their nation in the exact same way men have: in uniform. Women have indeed made enormous strides toward serving in equal measure to their male counterparts. But women are still too often perceived and treated as second-class citizens, inhibiting a genuine realization of their equality in the armed forces. This is exhibited, if not reinforced, by the prevalence of women’s sexual assault while serving their country and the insufficient prosecution thereof. By diagnosing and remedying the insufficiencies in the military justice system’s legal regime governing the prosecution of military sexual assault as well as victim’s insufficient means of redress in civilian courts, we may be able to secure more prosecutions of attackers. This article looks to address this problem. It begins with a background on women’s growing participation in the military, both in how far women have come and what is left to achieve. Section II examines the specific problem of military sexual assault, including its prevalence, impact on the military at large, and the inadequate prosecution process. Section III looks at strategies, both enacted and untaken, to eradicate these underlying causes. Section IV discusses how to change the system to allow victims a realistic shot at pursuing and attaining justice. Section V details a recent case that may open the floodgates for female victims to assert their rights in federal courts, Doe v. Hagenbeck. The article concludes with a recap of the substantive points made as well as a few final thoughts

Derived Smooth Manifolds

We define a simplicial category called the category of derived manifolds. It contains the category of smooth manifolds as a full discrete subcategory, and it is closed under taking arbitrary intersections in a manifold. A derived manifold is a space together with a sheaf of local $C^\infty$-rings that is obtained by patching together homotopy zero-sets of smooth functions on Euclidean spaces. We show that derived manifolds come equipped with a stable normal bundle and can be imbedded into Euclidean space. We define a cohomology theory called derived cobordism, and use a Pontrjagin-Thom argument to show that the derived cobordism theory is isomorphic to the classical cobordism theory. This allows us to define fundamental classes in cobordism for all derived manifolds. In particular, the intersection $A\cap B$ of submanifolds $A,B\subset X$ exists on the categorical level in our theory, and a cup product formula $$[A]\smile[B]=[A\cap B]$$ holds, even if the submanifolds are not transverse. One can thus consider the theory of derived manifolds as a {\em categorification} of intersection theory.Comment: 57 pages. Reformulation of author's PhD thesis. To appear in Duke Math J

Functorial Data Migration

In this paper we present a simple database definition language: that of categories and functors. A database schema is a small category and an instance is a set-valued functor on it. We show that morphisms of schemas induce three "data migration functors", which translate instances from one schema to the other in canonical ways. These functors parameterize projections, unions, and joins over all tables simultaneously and can be used in place of conjunctive and disjunctive queries. We also show how to connect a database and a functional programming language by introducing a functorial connection between the schema and the category of types for that language. We begin the paper with a multitude of examples to motivate the definitions, and near the end we provide a dictionary whereby one can translate database concepts into category-theoretic concepts and vice-versa.Comment: 30 page

Higher-dimensional models of networks

Networks are often studied as graphs, where the vertices stand for entities in the world and the edges stand for connections between them. While relatively easy to study, graphs are often inadequate for modeling real-world situations, especially those that include contexts of more than two entities. For these situations, one typically uses hypergraphs or simplicial complexes. In this paper, we provide a precise framework in which graphs, hypergraphs, simplicial complexes, and many other categories, all of which model higher graphs, can be studied side-by-side. We show how to transform a hypergraph into its nearest simplicial analogue, for example. Our framework includes many new categories as well, such as one that models broadcasting networks. We give several examples and applications of these ideas