The author nationally recognized for the quality and depth of his teaching in religious studies has written the first full-scale introduction to the history and methods of the study of religion.

In his extensive work as a theologian and a historian, Walter H. Principe, CSB, (1922-1996) was committed to reflecting on both the present and the past. He was well-known as an historian of medieval theology and philosophy - especially through the work of Thomas Aquinas, as well as a contemporary theologian. This memorial collection addresses a fundamental feature of Principe's thought, namely his concern that the history of medieval theology and philosophy have a significant role to play in contemporary (...) discussions. Strengthening the ties between historical study and contemporary theological and philosophical thought, this book offers much to those who teach and research in historical theology and the history of philosophy. The ten essays provide significant test cases of how modern scholars may utilise the historical record judiciously for contemporary debates. Those who are concerned with intellectual history (both medieval and modern), the history of doctrines, and Thomism will also find this collection a useful contribution to modern scholarship. (shrink)

This dissertation addresses a variety of foundational issues pertaining to the notion of algorithm employed in mathematics and computer science. In these settings, an algorithm is taken to be an effective mathematical procedure for solving a previously stated mathematical problem. Procedures of this sort comprise the notional subject matter of the subfield of computer science known as algorithmic analysis. In this context, algorithms are referred to via proper names of which computational properties are directly predicated )). Moreover, many formal results (...) are traditionally stated by explicitly quantifying over algorithms. These observations motivate the view that algorithms are themselves abstract mathematical objects -- a view I refer to as algorithmic realism. The status of this view is clearly related to that of Church's Thesis -- i.e. the claim that a function is computable by an algorithm just in case it is partial recursive. But whereas Church's Thesis is widely accepted on the basis of several well-known mathematical analyses of algorithmic computability, there is presently no consensus on how we can uniformly identify individual algorithms with mathematical objects. In the first chapter of this work, I attempt to illustrate the theoretical significance of algorithmic realism. I suggest that this view is not only of foundational significance to computer science, but also worth highlighting due to the role algorithms play in the fixation of mathematical knowledge and their relationship to intensional entities such as propositions and properties. Chapter Two presents a formal framework for reducing computational discourse to mathematical discourse modeled on contemporary discussion of mathematical nominalism. Chapter Three is centered on a case study intended to illustrate the technical exigencies involved with defending algorithmic realism. Chapter Four explores various ways in which algorithms might be identified with models of computation. And finally, Chapter Five argues that no such identification can uniformly satisfy all statements of algorithmic identity and non-identity affirmed by computational practice. I suggest that the technical crux of algorithmic realism lies in the necessity of reducing recursive specifications of algorithms to iterative models of computation in a manner which preserves algorithmic identity. (shrink)

There has been a great deal of talk recently among historians of Christian reflection about the problem and the possibility of a ‘plurality of theologies’. Directives from such eminent spokesmen as Karl Rahner have underscored the need for a rationale by which to demonstrate that the presence of different orientations does not necessarily violate the unitary character of a Christian tradition. Other Catholic thinkers have offered arguments for ascribing a relative status to the ‘Thomistic style’ of theology, and cases have (...) been made for the inclusion of additional schematic frameworks. Beyond all of this, there are elegant suggestions in the writings of Bernard Lonergan that there is sufficient theoretical, even metaphysical, basis to justify plurality in theology. The claim would seem to be that different theological orientations are expressive of distinct fields of vision which are not necessarily mutually exclusive. (shrink)

We present select examples of how visual phenomena can serve as tools to uncoverbrain mechanisms. Specifically, receptive field organization is proposed as a Gestalt-like neural mechanism of perceptual organization. Appropriate phenomena, such as brightness and orientation contrast, subjective contours, filling-in, and aperture-viewed motion, allow for a quantitative comparison between receptive fields and their psychophysical counterparts, perceptive fields. Phenomenology might thus be extended from the study of perceptual qualities to their transphenomenal substrates, including memory functions. In conclusion, classic issues of Gestalt (...) psychology can now be related to modern. (shrink)