Theology and the Actual Infinite: Burley and Cantor

Aristotle held that there is no limit to how small a line segment can be, but he insisted that a segment is not composed of points. Points are a potential infinity, since there is no limit to the ability to produce them (say, by continually bisecting a line segment), but there is no actual infinity of points. Like most thinkers of his period, Walter Burley accepted this Aristotelian conception of the continuum, but he argued that God can and does see all of the points on a given line segment. One of the main founders of the contemporary conception of the continuum, Georg Cantor, invoked similar, but more far-reaching theological themes and arguments in his spirited articulation and defense of the actual infinite, ultimately yielding the contemporary conception that a line segment is, literally, composed of points.     

The Epistemic Regress Problem,the Problem of the Criterion,and the Value of Reasons

There are important similarities between the epistemic regress problem and the problem of the criterion. Each turns on plausible principles stating that epistemic reasons must be supported by epistemic reasons but that having reasons is impossible if that requires having endless regresses of reasons. These principles are incompatible with the possibility of reasons, so each problem is a paradox. Whether there can be an antiskeptical solution to these paradoxes depends upon the kinds of reasons that we need in order to attain our epistemic goals. This article explains the problems and considers the ways in which two different conceptions of human flourishing support the value of different kinds of reasons. One conception requires reasons that allow an easy solution to these paradoxes. The other—rational autonomy—requires reasons that depend upon endless regresses. So we cannot have the kinds of fully transparent reasons required for rational autonomy.     

Order,disorder, and the absolute: An experiment in dialogue

The first section of this dialogue is excerpted from an edited conversation between Sean Kelly and the late David Bohm, and focuses on the concepts of order, disorder, and the Absolute. The second section explores these concepts in greater depth, with Bohm maintaining the impossibility of absolute knowledge and the fundamental unintelligibility of the concept of disorder, preferring instead to speak of “orders of infinite degree” which emerge out of an “unknown ground.” Kelly responds by proposing the concept of “absolute knowing” as the cognitive process within which the concepts of order and disorder, the known and the Unknown are seen as dialectically related moments of the Absolute as complex whole. The third section is Edgar Morin's response to the preceding dialogue. He begins by outlining his views on the nature and limits of rationality, maintaining, with Bohm, the superiority of the “negative modality” of speaking about “being” or “reality.” In the second part, however, he proposes the notion of nature as “chaosmos,” which he understands as a creative “dialogic” of order, disorder, and organization.     

Changes in the Composition of the Homeless Population: 1992–2002

This study examines changes in the characteristics of the homeless population before and after a period of extended economic expansion (1992–2002). Data from other sources suggest that, during this 10-year period, the size of the overall population of homeless persons may have declined slightly, though not significantly, both in the city studied and nationally. In-depth surveys of representative samples of homeless adults (N = 249 in 1992–94; N = 220 in 2000–2002) revealed significant differences in the composition of the homeless population across the time period, consistent with queuing theory. Persons experiencing homelessness after the expansion appeared to be a more “chronic,” less readily employable population than those interviewed at the start of the expansion: Those interviewed after were older, spent more time living on the streets, had more health symptoms, were more likely to have a diagnosis of schizophrenia, and had more restricted social networks and social support. Policy, research, and service provision implications of the findings are discussed.     

Juggling Parent Care and Employment Responsibilities: The Dilemmas of Adult Daughter Caregivers in the Workforce

We review findings from our programmatic research on adult daughters who are simultaneously involved in the roles of employee and care provider to an impaired parent. Two opposing theoretical perspectives on the health effects of occupying these two roles are described, and empirical findings that bear on each perspective are presented. Our review reveals that, consistent with the competing demands perspective, parent care and employment often conflict with one another. Consistent with the energy expansion perspective, however, there is evidence that holding these two roles can be beneficial for the health of adult daughters.     

SPIRITUAL TRANSFORMATION AS THE AWAKENING OF GLOBAL CONSCIOUSNESS: A DIMENSIONAL SHIFT IN THE TECHNOLOGY OF MIND

Abstract. Great spiritual and philosophical traditions through the ages have sought to tap and articulate the grammar or logic of the fundamental unified field that is the common generative ground of our diverse worldviews, religions, cultures, ideologies, and disciplinary languages. I suggest that we are in the midst of a profound dimensional shift in our rational capacity to process reality, and I seek to articulate the implications of this evolutionary shift to global reason and awakened consciousness for all aspects of our human and rational enterprise. It is clear that we are in the midst of an unprecedented shift in the human condition—a global renaissance that affects every aspect of our cultural lives, self‐understanding, experience, and world making. This evolutionary transformation, when seen through the dilated global lens, has been emerging through the ages on a global scale. I suggest that this advance in our technology of mind is of an order of magnitude that is so radical and comprehensive that the very concept of a person, of what it means to be human, of our encounter with Reality, and of all our hermeneutical arts including the sciences are likewise taken to a higher, global, dimension. I explore this emergent grammar of spiritual transformation to global, dialogic, integral, and holistic consciousness, the global awakening of reason, scientific knowing, and the holistic worldview.     

A Computer Scientist's Perspective on Chaos and Mystery

James E. Huchingson's Pandemonium Tremendum draws on a surprisingly fruitful analogy between metaphysics and thermodynamics, with the latter motivated through the more accessible language of communication theory. In Huchingson's model, God nurtures creation by the selective communication of bits of order that arise spontaneously in chaos.     

Infinite barbarians

This paper discusses an infinite regress that looms behind a certain kind of historical explanation. The movement of one barbarian group is often explained by the movement of others, but those movements in turn call for an explanation. While their explanation can again be the movement of yet another group of barbarians, if this sort of explanation does not stop somewhere we are left with an infinite regress of barbarians. While that regress would be vicious, it cannot be accommodated by several general views about what viciousness in infinite regresses amounts to. This example is additional evidence that we should prefer a pluralist approach to infinite regresses.     

Temporal Creation and Cosmological Arguments in Early-Modern Calvinism

This study examines the varieties of cosmological arguments deployed in the natural theologies of early-modern Calvinism. Some of the first Reformed forays into theistic proofs make use of Thomist arguments which allow for the logical possibility of creation from eternity. In the seventeenth century, many Reformed theologians prefer to use arguments against the possibility of an eternal world – arguments which had been defended by medieval theologians such as Bonaventure. But these arguments in turn faced criticism in the seventeenth century, and many of the Reformed supplemented them or replaced them with others. The argument from the mutability of the world to its temporal beginning became increasingly popular among Reformed thinkers. Historical arguments from the recent rise of arts and sciences or biological species supplemented the philosophical arguments for the world's beginning. Their theological commitment to the impossibility of eternal creation may explain why the Reformed did not typically use the Clarke and Leibniz argument from contingency.     

Parent Care in the Context of Women's Multiple Roles

This article addresses the multiple roles held by women involved in parent care and the ways in which these roles affect the women's well-being. Research on women's roles (including that of caregiver) has been guided by two opposing perspectives, the scarcity hypothesis and the expansion hypothesis. Findings from our studies of role quality, role combinations, and role spillover have provided abundant evidence that the lives of these women cannot be easilycaptured by either the scarcity or the expansion hypothesis alone.