Narratives of Holiness Identity: The "Sanctified Person" in the Church of the Nazarene

This dissertation is an exercise in practical theology, which investigates and responds to the problem of changing holiness identity in the Church of the Nazarene. The first part of the study is an empirical investigation into the social context of contemporary Nazarene holiness identity and practices among Nazarenes in three congregations located in the Northeast United States. Previous research relied too heavily on secularization and sect-church theory to understand the dynamics of religious identity change among Nazarenes. The theological result was a pessimistic appraisal of the future possibilities of holiness identity and practice in the Church of the Nazarene. This study employs an alternative theory—Nancy T. Ammerman's theory of narrative religious identity—to understand the dynamics of lived religious life within these congregations and to identify the various holiness narratives at play. Ammerman's theory facilitates an empirical description of the multiple holiness identities emerging out of the social contexts of these Nazarene congregations and offers a way to account for identity change. At the heart of this research is the theoretical notion that a particular religious identity, in the case of the Church of the Nazarene, the "sanctified person," emerges out of a particular ecclesial context characterized by religious narratives and practices that shape this identity. Chapter one reviews the problem of holiness identity in the Church of the Nazarene and offers an analysis of recent sociological attempts to understand the changing identity among Nazarenes. Chapter two draws on sociological research to describe and depict the range of views of holiness held by some contemporary Nazarenes. Chapter three identifies the varieties of holiness identity within the three Nazarene congregations that are part of the study. Chapter four investigates the social sources that shape the various holiness identities discovered in these congregations. Chapter five is a description of the many ways religious narratives are enacted and engaged within these congregations. The second part of the study is a theological critique of contemporary Nazarene holiness identity. Chapter six draws on the theory of narrative identity proposed by Nancy Ammerman and outlines a theoretical model which describes the social conditions necessary to shape holiness identity, "the sanctified person," within the context of the local congregation. Finally, chapter seven draws on the theological resources of Mennonite scholar and historian John Howard Yoder to propose a way of construing and facilitating holiness identity formation that takes the ecclesiality of hoilness more seriously, emphasizes a clearer relationship between Jesus and the "Christlikeness" that is central to holiness, and highlights the importance of religious practices in the formation of a holiness identity.

The Construction of Arbitrary Stable Dynamics in Non-Linear Neural Networks

In this paper, two methods for constructing systems of ordinary differential equations realizing any fixed finite set of equilibria in any fixed finite dimension are introduced; no spurious equilibria are possible for either method. By using the first method, one can construct a system with the fewest number of equilibria, given a fixed set of attractors. Using a strict Lyapunov function for each of these differential equations, a large class of systems with the same set of equilibria is constructed. A method of fitting these nonlinear systems to trajectories is proposed. In addition, a general method which will produce an arbitrary number of periodic orbits of shapes of arbitrary complexity is also discussed. A more general second method is given to construct a differential equation which converges to a fixed given finite set of equilibria. This technique is much more general in that it allows this set of equilibria to have any of a large class of indices which are consistent with the Morse Inequalities. It is clear that this class is not universal, because there is a large class of additional vector fields with convergent dynamics which cannot be constructed by the above method. The easiest way to see this is to enumerate the set of Morse indices which can be obtained by the above method and compare this class with the class of Morse indices of arbitrary differential equations with convergent dynamics. The former set of indices are a proper subclass of the latter, therefore, the above construction cannot be universal. In general, it is a difficult open problem to construct a specific example of a differential equation with a given fixed set of equilibria, permissible Morse indices, and permissible connections between stable and unstable manifolds. A strict Lyapunov function is given for this second case as well. This strict Lyapunov function as above enables construction of a large class of examples consistent with these more complicated dynamics and indices. The determination of all the basins of attraction in the general case for these systems is also difficult and open.

Construction of Neural Network Classification Expert Systems Using Switching Theory Algorithms

A new family of neural network architectures is presented. This family of architectures solves the problem of constructing and training minimal neural network classification expert systems by using switching theory. The primary insight that leads to the use of switching theory is that the problem of minimizing the number of rules and the number of IF statements (antecedents) per rule in a neural network expert system can be recast into the problem of minimizing the number of digital gates and the number of connections between digital gates in a Very Large Scale Integrated (VLSI) circuit. The rules that the neural network generates to perform a task are readily extractable from the network's weights and topology. Analysis and simulations on the Mushroom database illustrate the system's performance.