Ben Marais (1909-1999): The influences on and heritage of a South African Prophet during two periods of transformation

University of Pretoria / Dissertation / Department of Church History and Church Policy / Advised by Prof J W Hofmeyr

"Not Without My Ancestors": A Christological Case Study of the Shona Ancestor Cult of Zimbabwe

The issue of ancestors has been controversial since the first encounters of Christianity with Shona religion. It remains a major theological problem that needs to be addressed within the mainline churches of Zimbabwe today. Instead of ignoring or dismissing the ancestor cult, which deeply influences the socio-political, religious, and economic lives of the Shona, churches in Zimbabwe should initiate a Christology that is based on it. Such a Christology would engage the critical day-to-day issues that make the Shona turn to their ancestors. Among these concerns are daily protection from misfortune, maintaining good health and increasing longevity, successful rainy seasons and food security, and responsible governance characterized by economic and political stability. Since the mid-16th century arrival of Jesuit missionaries in the Mutapa Kingdom, the Church has realized that many African Christians resorted to their ancestors in times of crisis. Although both Catholic and Protestant missionaries from the 1700s through the early 1900s fiercely attacked Shona traditional beliefs as superstitious and equated ancestors with evil spirits, the cult did not die. Social institutions, such as schools and hospitals provided by missionaries, failed to eliminate ancestral beliefs. Even in the 21st century, many Zimbabweans consult their ancestors. The Shona message to the church remains "Not without My Ancestors." This dissertation examines the significance of the ancestors to the Shona, and how selected denominations and new religious movements have interpreted and accommodated ancestral practices. Taking the missiological goal of "self-theologizing" as the framework, this dissertation proposes a "tripartite Christology" of "Jesus the Family Ancestor", "Jesus the Tribal Ancestor," and "Jesus the National Ancestor," which is based on the Shona "tripartite ancestrology." Familiar ecclesiological and liturgical language, idioms, and symbols are used to contribute to the wider Shona understanding of Jesus as the ancestor par excellence, in whom physical and spiritual needs-including those the ordinary ancestors fail to meet-are fulfilled.

Living with Jesus: Practical Christologies in Two Boston American Baptist Churches

This dissertation, an exercise in practical theology, undertakes two tasks. First, it examines how the story of Jesus is appropriated and embodied in the corporate practices of worship and mission (congregational christology) and in the daily lives of ordinary believers (everyday christology) at First Baptist Church in Jamaica Plain and Ruggles Baptist Church in Boston, Massachusetts. Second, it places these practical christologies in dialogue with the academic christology of James McClendon to see what creative and critical insights emerge. A key assumption of the study is that doctrinal reflection is precipitated when the story of Jesus interacts with human stories in both autobiographical and public domains. "Living with Jesus" contends that the understandings of Jesus present in the everyday lives of believers and in a congregation's worship and mission merit the attention of scholars in the disciplines of sociology and theology. This dissertation demonstrates that scholarly research on the visible church, everyday religion, and Christian doctrine pays limited attention to the theologies operative in the everyday lives of believers and congregational practices. A gap exists in scholarly knowledge, which "Living with Jesus" attempts to redress. The empirical results of qualitative research fieldwork are set in the context of historical overviews and contemporary snapshots of First Baptist Church in Jamaica Plain and Ruggles Baptist Church. "Living with Jesus" identifies three types of practical christology operative across the two congregations in corporate practices and the everyday lives of individuals: evangelical christology; exemplarist christology; and prophetic christology. The empirical research shows that for a significant minority of people in the sample, the prevailing understanding of Jesus can best be described as a hybrid christology. By paying attention to McClendon's treatment of the Jesus story and placing the three identified practical christologies in dialogue with his christology, it becomes apparent that each practical christology is simultaneously liberating and limiting. This dissertation argues that evaluating a particular practical christology in relation to the Gospel requires an intentional and disciplined effort on the part of congregations, ordinary believers, and theologians. Questions are proposed to assist further christological reflection on worship, mission, pastoral care, and Christian education.

Cryptographic Tamper Evidence

We propose a new notion of cryptographic tamper evidence. A tamper-evident signature scheme provides an additional procedure Div which detects tampering: given two signatures, Div can determine whether one of them was generated by the forger. Surprisingly, this is possible even after the adversary has inconspicuously learned (exposed) some-or even all-the secrets in the system. In this case, it might be impossible to tell which signature is generated by the legitimate signer and which by the forger. But at least the fact of the tampering will be made evident. We define several variants of tamper-evidence, differing in their power to detect tampering. In all of these, we assume an equally powerful adversary: she adaptively controls all the inputs to the legitimate signer (i.e., all messages to be signed and their timing), and observes all his outputs; she can also adaptively expose all the secrets at arbitrary times. We provide tamper-evident schemes for all the variants and prove their optimality. Achieving the strongest tamper evidence turns out to be provably expensive. However, we define a somewhat weaker, but still practical, variant: α-synchronous tamper-evidence (α-te) and provide α-te schemes with logarithmic cost. Our α-te schemes use a combinatorial construction of α-separating sets, which might be of independent interest. We stress that our mechanisms are purely cryptographic: the tamper-detection algorithm Div is stateless and takes no inputs except the two signatures (in particular, it keeps no logs), we use no infrastructure (or other ways to conceal additional secrets), and we use no hardware properties (except those implied by the standard cryptographic assumptions, such as random number generators). Our constructions are based on arbitrary ordinary signature schemes and do not require random oracles.

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.