This volume presents a significantly different interpretation of nature and society compared with existing theories of logic, relativity, quanta, evolution, medicine and international relations. For the first time in a number of years, it offers a new paradigm dealing with the entirety of reality. The Principle of Relations is formulated based on five postulates, before being applied to all fields of reality, namely the universe, elementary particles, changes of species, the human and international relations. It represents a platform on which (...) applications for all fields of reality can be understood, including gravity, energy, cancer, poverty, and prosperity and welfare. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:BOOK REVIEWS The Logic of God Incarnate. By THOMAS V. MORRIS. Ithaca: Cornell University Press, 1986. Pp. 220. $19.95. Thomas V. Morris, Assistant Professor of Philosophy at the University of Notre Dame, has written a technical yet provocative study on the Incarnation. As a faithful Christian he believes in and desires to defend the traditional Christian doctrine of the Incarnation proclaimed in the New Testament and defined (...) by the early councils of the Church, especially Chalcedon, that is, that Jesus is the One eternal Son existing in two natures. He also holds that, while the truth of the Incarnation is revealed, it must nonetheless stand the test of logic and reason. The Incarnation cannot be illogicaJ or meaningless. " If the church has been guided by God in such matters as the formulation of its creeds, conciliar decrees, and catechisms,.... we would not expect glaring logical flaws in its central doctrinal affirmations" (p. 46). The stated purpose of Morris's study is to defend the traditional doctrine against those who would hold it to be logically incoherent and meaningless. "In the course of thinking about the Incarnation for some years now, I have come to see that a few simple metaphysical distinctions and a solid dose of logical care will suffice to explicate and defend the doctrine against all extant criticisms of a philosophical nature" (p. 9). Morris meticulously analyzes and critiques a number of arguments that oppose the possibility of coherence of the Incarnation by attempting to demonstrate that such arguments are.either false and illogical themselves, or that they do not apply to a true understanding of the Incarnation. Moreover, Morris proposes a novel understanding of the Incarnation which he believes is both logical and intelligible, and which conforms to the Christian tradition. This goal of upholding the intelligibility of the Incarnate leads Morris to a three-fold task. He first of all must refute his chief adversaries, those who would deny the sensibleness of saying God became man in Jesus. Such critics deny the validity of the Incarnation on the ground..'! that it is meaning·less, and the'l'efore impossible to juxtapose the incommensurable. attributes of divinity and humanity, e.g., perfection/imperfection, immutability/corruptibility. They hold that Jesus could not have had both these sets of properties at once (cf. p. 20). Morris refuses to capitulate to such arguments. He nevertheless insists that any solution to the issue which would undermine human logic or which would fail to uphold the Christian's belief is no solution at all (cf. p. 32). 367 368 BOOK REVIEWS Secondly, Morris's task leads him to refute any attempts at a " OneNature " solution, which would "squash" together the human and divine natures in Jesus to form a single nature. Such proposals jeopardize either the integrity of Jesus's divinity (Arianism) or his humanity (Docetism, Monophysitism), inevitably composing a mythical tertium quid (cf. pp. 33-38). Morris presents a clear case against such corruptions of the Incarnation. Thirdly, Morris's task brings him to analyze contemporary kenotic Christology. He thoroughly discusses this approach, for the reason that it is directly involved in the issue at hand, namely, the incompatibility between divine and human properties in Christ. Secondarily, however, Morris's interest in kenoticism reflects his own hope that some variation of the approach might posibly arrive at a Christological solution (cf. p. 92). While he ultimately rejects kenoticism, Morris flirts with the various alternatives, and, as we shall see, his own perception of the Incarnation remains tinged with a kenotic flavor. How then is it possible to predicate of one and the same individual divine and human attributes intelligibly and coherentlyT To use contemporary computer jargon, the question might be phrased: is it possible that God and man can he "incarnation-friendly¥" Morris believes so. Morris first of all sets out to define the terms-divine nature and human nature. He believes part of the incompatibility problem lies in attributing to Jesus's humanity unnecessarily hostile aspects. He distinguishes between being "merely human" and being "fully human"· To be " merely human " is to possess not only those properties that narrowly define one's nature or kind, such as rationality, but... (shrink)

We apply Benacerraf’s distinction between mathematical ontology and mathematical practice to examine contrasting interpretations of infinitesimal mathematics of the seventeenth and eighteenth century, in the work of Bos, Ferraro, Laugwitz, and others. We detect Weierstrass’s ghost behind some of the received historiography on Euler’s infinitesimal mathematics, as when Ferraro proposes to understand Euler in terms of a Weierstrassian notion of limit and Fraser declares classical analysis to be a “primary point of reference for understanding the eighteenth-century theories.” Meanwhile, scholars like (...) Bos and Laugwitz seek to explore Eulerian methodology, practice, and procedures in a way more faithful to Euler’s own. Euler’s use of infinite integers and the associated infinite products are analyzed in the context of his infinite product decomposition for the sine function. Euler’s principle of cancellation is compared to the Leibnizian transcendental law of homogeneity. The Leibnizian law of continuity similarly finds echoes in Euler. We argue that Ferraro’s assumption that Euler worked with a classical notion of quantity is symptomatic of a post-Weierstrassian placement of Euler in the Archimedean track for the development of analysis, as well as a blurring of the distinction between the dual tracks noted by Bos. Interpreting Euler in an Archimedean conceptual framework obscures important aspects of Euler’s work. Such a framework is profitably replaced by a syntactically more versatile modern infinitesimal framework that provides better proxies for his inferential moves. (shrink)

We show that without assuming completeness or continuity, a strongly independent preorder on a possibly infinite dimensional convex set can always be given a vector-valued representation that naturally generalizes the standard expected utility representation. More precisely, it can be represented by a mixture-preserving function to a product of lexicographic function spaces.

The development of ethical guidelines and regulations regarding human subjects research has focused upon protection of vulnerable populations by relying on a limited typology of vulnerabilities. This results in several challenges: First, Institutional Review Boards struggle to interpret and apply the regulations because they are often vague and inconsistent. Second, applying the regulations to subjects who fit within multiple categories of vulnerability can lead to contradictions and the rejection of research that would be permissible if only one category were applicable. (...) Finally, some potential subjects have social and other context-based vulnerabilities that are not described in the federal regulations... (shrink)

A mixture preorder is a preorder on a mixture space (such as a convex set) that is compatible with the mixing operation. In decision theoretic terms, it satisfies the central expected utility axiom of strong independence. We consider when a mixture preorder has a multi-representation that consists of real-valued, mixture-preserving functions. If it does, it must satisfy the mixture continuity axiom of Herstein and Milnor (1953). Mixture continuity is sufficient for a mixture-preserving multi-representation when the dimension of the mixture space (...) is countable, but not when it is uncountable. Our strongest positive result is that mixture continuity is sufficient in conjunction with a novel axiom we call countable domination, which constrains the order complexity of the mixture preorder in terms of its Archimedean structure. We also consider what happens when the mixture space is given its natural weak topology. Continuity (having closed upper and lower sets) and closedness (having a closed graph) are stronger than mixture continuity. We show that continuity is necessary but not sufficient for a mixture preorder to have a mixture-preserving multi-representation. Closedness is also necessary; we leave it as an open question whether it is sufficient. We end with results concerning the existence of mixture-preserving multi-representations that consist entirely of strictly increasing functions, and a uniqueness result. (shrink)

We present an abstract social aggregation theorem. Society, and each individual, has a preorder that may be interpreted as expressing values or beliefs. The preorders are allowed to violate both completeness and continuity, and the population is allowed to be infinite. The preorders are only assumed to be represented by functions with values in partially ordered vector spaces, and whose product has convex range. This includes all preorders that satisfy strong independence. Any Pareto indifferent social preorder is then shown to (...) be represented by a linear transformation of the representations of the individual preorders. Further Pareto conditions on the social preorder correspond to positivity conditions on the transformation. When all the Pareto conditions hold and the population is finite, the social preorder is represented by a sum of individual preorder representations. We provide two applications. The first yields an extremely general version of Harsanyi's social aggregation theorem. The second generalizes a classic result about linear opinion pooling. (shrink)

Evangelical Christian development organizations have long realized that mission effectiveness is largely contingent on the skills and abilities possessed by their human capital. A crucial way to create that human capital is through development-oriented academic programs, especially those focused on developing skills required by grassroots personnel and their support organizations. A review of Eastern University's MBA in economic development, celebrating its 25th anniversary, provides six conclusions and recommendations for implementing and assessing effective NGO management educational programs.

In lieu of an abstract, here is a brief excerpt of the content:BOOK REVIEWS 329 I find Farley's theory of tragic existence and divine compassion distressing and depressing. To sufferers, it says: "C'est la vie!" Put more learnedly, "created perfection is fragile, tragically structured.. •. And yet, without creation, divine eros remains merely potential, inarticulate. The fragility of creation and the nonabsolute power of God culminate in the tragedy and rupture of history" (p. 124). Thank God, I can now have (...) God,to blame. Of course, God is trying to repair the damage, but even God's efforts are ultimately vain since "absolute evil " will ever play havoc with history and since God himself is responsible for suffering. Furthermore, since the author does not offer any extensive discussion of the suffering and death of God.on the cross (she dismisses the idea: "The compassionate God is... to he distinguished from the benevolent but impotent deity who ' suffers with ' the world" [p. 112]), nor of the resurrection of Jesus as divine vindication of innocent suffering, nor of hope for a life beyond,· her tragic vision sheds no real light on the problem of suffering nor can it pro-.vide impetus for the struggle against evil or hope for victims-especially when demons whisper that life is futile, suffering meaningless, and the cosmos void. The book is repetitive (suffering: pp. 23-24, 30-31, 51-59, 115-119; tragic vision: pp. 31-37, 78-79, 98-99, 106-110, 124-125; compassion: pp. 37-39, 79-81, 92-94, 110-114, 114-119, 126-128). It is oracular ("theologians have been uncomfortable about directly attributing love to God " [p. 96], self-contradictory (it speaks of God's " aseity " and divine " relationship " in the same breath [p. 105]), and misleading in its use of sources (e.g. its appeal to Thomas for its peculiar understanding of analogical language about God [pp. 101-103]). Mercifully, the hook is brief. The Catholic University of America Washington, D.C. PETER c. PHAN Time, Freedom, and the Common Good. By CHARLES M. SHEROVER. New York: State University of New York Press, 1989. Pp. xiii+ 314. $59.50 (cloth) ; $19.95 (paper). Guided by the insights of traditional political philosophy and contemporary phenomenology and animated by 'the spirit of Tocqueville, Sherover's book is an attempt " to secure the foundations of a public philosophy adequate for our time" (p. xii). Like Tqcqueville, Sherover is preoccupied with the " universal appeal of freedom," with its com- 330 BOOK REVIEWS plications, its paradoxes, and especially its possibilities. Sherover faults liberalism for its simplistic conception of freedom and its " superficial view of the nature of human existence" (p. 8). In an attempt to find a more adequate account of human experience, Sherover appeals to three existential categories: sociality, temporality, and freedom. The project of the book, which moves from the establishment and articulation of these categories to :their practical application, is ambitious. Yet the argument is lucid and persuasive. Following Aristotle, Sherover argues for the primacy of the social in human life. He effectively argues not only that moral norms and linguistic practices are socially rooted phenomena, but also that " social membership is prior... to any notion of differentiating individuality " (p. 20). Social atomism is but a theoretical abstraction, and individualism is as incoherent as a private language. Sherover points out that the defense ·of the social nature of human existence has at least one negative result: it undermines political theories that are rooted in a radically individualistic conception of human nature. Yet the emphasis on sociality does play a positive role in Sherover's essay: it serves as an initial justification of the relevance of the idea of the common good to political discourse. The existential category of sociality surfaces, for instance, in Sherover's cogent account of rights, wherein he argues that particular rights should not be seen as innate and absolute. The claim that rights are innate renders unintelligible the prevalent notion of "newly dis· covered" rights (p. 79). Instead, particular rights are socially recog· nized, justifiable claims which cannot he isolated from the social and political context in which they are recognized and exercised. Particular r.ights come into being over time and in intimate connection with con· crete... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Opining the articuli fidei:Thomas Aquinas on the Heretic’s Assent to the Articles of FaithM. V. DoughertyTHOMAS AQUINAS’S ACCOUNT of the infused virtue (habitus) of faith presupposes that some intrinsically intelligible truths are beyond the range of the natural cognitive abilities of human beings. The possession of the virtue of faith allows the believer to transcend certain natural epistemic limitations so that he can assent to truths that are (...) necessary for salvation. Consonant with the Catholic theological tradition, Aquinas refers to such truths as the articles of faith (articuli fidei), and stock examples include propositions concerning the Trinity and the Incarnation.1In light of the many and well-known texts from the Corpus Thomisticum that highlight the disproportion or incommensurability between the articles of faith and the natural cognitive abilities of human beings, it would not be unreasonable for one to assume that faith is required to assent to such articles of faith [End Page 1] in this life. Such an interpretive assumption could be expressed as:A1: A human being can assent to the articles of faith in this life if and only if the human being is fortified with the infused virtue of faith.One might be led to ascribe A1 to Aquinas when one considers that he criticizes the Pelagians precisely for maintaining that the assent to matters of faith is caused by nothing other than free will.2 Still further, one might think that strong evidence for A1 is Aquinas’s claim that “free will does not suffice for believing, since those things that are of faith are above reason.”3I argue, however, that A1’s identification of the virtue of faith as a necessary condition for the assent to the articles of faith does not adequately reflect Aquinas’s position, despite the many texts that may suggest such a view.4 That Aquinas does not endorse A1 can be made evident by examining his largely overlooked account of the epistemic state of the heretic (haereticus). To be sure, most commentators who explore the Thomistic treatment of heresy focus on the psychology of error underlying the heretic’s denial of one or more of the articles of faith.5 In the present paper I take an alternate path, however, focusing on those epistemic acts whereby the heretic gets its [End Page 2] right, so to speak, by correctly assenting to some of the articles of faith. Aquinas maintains that the heretic does not possess the infused virtue of faith yet still assents to all the articles of faith except for the one or more articles that he denies. Bereft of faith, the heretic “holds those things that are of faith by another mode than through faith.”6 This seemingly anomalous epistemic condition deserves consideration.7I. Intellects without FaithThe heretic appears to be cognitively privileged, since without faith he assents to the things that are of faith, seemingly overcoming without divine assistance the aforementioned disproportion between the limited range of reason and the articles of faith. Aquinas is aware of the apparent difficulty; in the Summa theologiae he defuses the rather unusual objection that heretics appear to have greater cognitive capacities than the faithful, since heretics routinely and unassistedly assent to those higher truths without possessing the virtue of faith.8 Aquinas concludes that the heretic holds the articles of faith by opinion (opinio), not faith.What makes one a heretic? Frequently Aquinas identifies obstinacy (pertinacia, instantia) as a necessary condition for heresy.9 The cause of heresy is at times identified with pride [End Page 3] (superbia).10 On Aquinas’s account, heresy is a species of unbelief (infidelitas) and every heretic is a schismatic.11 But the heretic does get many things right. If one were to deny all of the articles of faith, one would not qualify as a heretic, but would simply be a nonbeliever or an apostate. So, apart from the denial of an article (or a few articles) that specifies heretics as the distinct kind of heretic they happen to be, heretics for the most part succeed in assenting to most—but not all—of the articles of faith.Although the... (shrink)

Social media applications such as Twitter, YouTube and Facebook have attained huge popularity, with more than three billion people and organizations predicted to have a social networking account by 2015. Social media offers a rapid avenue of communication with the public and has potential benefits for communicable disease control and surveillance. However, its application in everyday public health practice raises a number of important issues around confidentiality and autonomy. We report here a case from local level health protection where the (...) friend of an individual with meningococcal septicaemia used a social networking site to notify potential contacts. (shrink)

What new implications does the dynamical hypothesis have for cognitive science? The short answer is: None. The _Behavior and Brain Sciences _target article, “The dynamical hypothesis in cognitive science” by Tim Van Gelder is basically an attack on traditional symbolic AI and differs very little from prior connectionist criticisms of it. For the past ten years, the connectionist community has been well aware of the necessity of using (and understanding) dynamically evolving, recurrent network models of cognition.

David Marr's (1982) three‐level analysis of computational cognition argues for three distinct levels of cognitive information processing—namely, the computational, representational, and implementational levels. But Marr's levels are—and were meant to be—descriptive, rather than interactive and dynamic. For this reason, we suggest that, had Marr been writing today, he might well have gone even farther in his analysis, including the emergence of structure—in particular, explicit structure at the conceptual level—from lower levels, and the effect of explicit emergent structures on the level (...) (or levels) that gave rise to them. The message is that today's cognitive scientists need not only to understand how emergent structures—in particular, explicit emergent structures at the cognitive level—develop but also to understand how they feed back on the sub‐structures from which they emerged. (shrink)

This book constitutes the strictly refereed post-workshop proceedings of the 11th International Workshop on Computer Science Logic, CSL '97, held as the 1997 Annual Conference of the European Association on Computer Science Logic, EACSL, in Aarhus, Denmark, in August 1997. The volume presents 26 revised full papers selected after two rounds of refereeing from initially 92 submissions; also included are four invited papers. The book addresses all current aspects of computer science logics and its applications and thus presents the state (...) of the art in the area. (shrink)

Two categorization arguments pose particular problems for localist connectionist models. The internal representations of localist networks do not reflect the variability within categories in the environment, whereas networks with distributed internal representations do reflect this essential feature of categories. We provide a real biological example of perceptual categorization in the monkey that seems to require population coding (i.e., distributed internal representations).

Thomas Aquinas produced a voluminous body of work on moral theory, and much of that work is on virtue, particularly the status and value of the virtues as principles of virtuous acts, and the way in which a moral life can be organized around them schematically. Thomas Osborne presents Aquinas's account of virtue in its historical, philosophical and theological contexts, to show the reader what Aquinas himself wished to teach about virtue. His discussion makes the complexities of Aquinas's (...) moral thought accessible to readers despite the differences between Thomas's texts themselves, and the distance between our background assumptions and his. The book will be valuable for scholars and students in ethics, medieval philosophy, and theology. (shrink)