Let us call an integer part of an ordered field any subring such that every element of the field lies at distance less than 1 from a unique element of the ring. We show that every real closed field has an integer part.

We present in this article a new logical system inspired from linear logic. This system is designed in order to express causality and dynamism. The cut elimination theorem holds for this logic. Examples of applications are given.

The research investigates the role of leadership in the transformation of denominational structures towards a missional ecclesiology, and focusses on the Highveld Synod of the Dutch Reformed Church. It describes the missional journey of the denomination, and interprets the transformation. The theory of ‘complex leadership’ in complex systems is applied to the investigation of the impact of leadership on a denominational structure. The theory identifies three mechanisms used by leaders as enablers in emergent, self-organisation systems: Leaders disrupt existing patterns, they (...) encourage novelty, and they act as sensemakers. These insights are applied as a tool to interpret the missional transformation of a denomination. (shrink)

This paper is devoted to the study of some subvarieties of the variety Qof Q-Heyting algebras, that is, Heyting algebras with a quantifier. In particular, a deeper investigation is carried out in the variety Q 3 of three-valued Q-Heyting algebras to show that the structure of the lattice of subvarieties of Qis far more complicated that the lattice of subvarieties of Heyting algebras. We determine the simple and subdirectly irreducible algebras in Q 3 and we construct the lattice of subvarieties (...) (Q 3 ) of the variety Q 3. (shrink)

A structure is locally finite if every finitely generated substructure is finite; local sentences are universal sentences all models of which are locally finite. The stretching theorem for local sentences expresses a remarkable reflection phenomenon between the finite and the infinite models of local sentences. This result in part requires strong axioms to be proved; it was studied by the second named author, in a paper of this Journal, volume 53. Here we correct and extend this paper; in particular we (...) show that the stretching theorem implies the existence of inaccessible cardinals, and has precisely the consistency strength of Mahlo cardinals of finite order. And we present a sequel due to the first named author: (i) decidability of the spectrum $\operatorname{Sp}(\varphi)$ of a local sentence φ, below ω ω ; where $\operatorname{Sp}(\varphi)$ is the set of ordinals α such that φ has a model of order type α (ii) proof that $\operatorname{beth}_\omega = \sup\{\operatorname{Sp}(\varphi): \varphi \text{local sentence with a bounded spectrum}\}$ (iii) existence of a local sentence φ such that $\operatorname{Sp}(\varphi)$ contains all infinite ordinals except the inaccessible cardinals. (shrink)

Health care workers with needlestick exposures to patients' blood often request a test of the patient for evidence of infection with human immunodeficiency virus. If the patient refuses the test, a conflict develops between the interests of the health care worker and those of the patient. Traditional approaches to this dilemma attempt to balance the rights or utilities of abstract patients and health care workers. While these approaches have the advantage of offering clear guidelines in advance of conflict, the interests (...) of the actual participants may differ from those used to create the guidelines. In nonmedical settings, conflicts are often resolved efficiently through negotiation and monetary exchanges. Although negotiated monetary settlements between health care workers and patients may be an impractical way to resolve medical conflicts, models developed from these perspectives provide insights into the individual interests of physicians and patients. Changing existing rules about medical record documentation, or increasing the penalties for the misuse of medical information, may satisfy the interests on both sides of the conflict and so represent integrative bargaining solutions. Even so, as the relationship between health care workers and their patients evolves, more explicit strategies for negotiation may become a reasonable solution to the problem of conflict. (shrink)

Foundations of Humanism is a primer on secular humanism written by one of the leading figures in the movement. J.P. van Praag writes that the modern world is shaped by a central paradox: the technology that provides us with unprecedented possibilities at the same time imposes an oppressive organization on society. This organization, with its trappings of overspecialization and overcentralization, promotes feelings of impotence and alienation and a spirit of rebellion, especially in the young. In this book, van Praag examines (...) the ways in which the philosophy of humanism can be applied to this paradox of modern life. Humanism holds that the purpose of life is life itself. Van Praag demonstrates how, through the application of this principle, the paradox can be transcended and how personal fulfillment and social creativity can be achieved. Foundations of Humanism is designed to give the reader a comprehensive view of secular humanism, including its historical roots in classical Greece and the Renaissance, its elaboration as a formal philosophy, and its practical aspects as a social philosophy. Finally, it explores the application of humanist principles in counseling and education. (shrink)

Insect and crustacean lineages diverged over 500 Myr ago, and there are continuing uncertaintles about whether they evolved from a common arthropod ancestor or, alternatively, they evolved independently from annelid worms. Despite the diversity of their limbs and lifestyles, the nervous systems of insects and crustaeeans share many common features both in development and in function. Cellular and molecular embryology techniques reveal good evidence for homologies in the developing segmental ganglia. In the visual system, this seemingly common programme of insect (...) and crustacean CNS development culminates in common adult neural function. Comparisons of the cellular anatomy and physiology of animals as diverse as flies and crayfishes indicate that the neural circuits in the lamina of their optic lobe have been inherited largely unchanged from a common ancestor with good compound eyes. (shrink)

This article revisits a reduced model of cardiac electro-physiology which was proposed to understand the genesis of unidirectional block pathology and of ectopic foci. We underline some specificities of the model from the viewpoint of dynamical systems and bifurcation theory. We point out that essentially the same properties are shared by a simpler system more accessible to analysis. With this simpler system, it becomes possible to give a new presentation of the phenomenon in a phase plane with time moving slow (...) manifolds. This presentation can be of interest both for cardiac electro-physiologists and for mathematicians. (shrink)

We propose a mathematical model for a class of predator–prey systems more complex than the usual one, involving a commensalism effect consisting in an influence of the predator on the sustainability of the prey. This effect induces interesting new features, including bi-stability. The question of the possibility of reaching a certain attractor starting from initial conditions with a small population of predators, which presents an interest from the vewpoint of the onset of the predator in evolution, is addressed. We propose (...) two possibilities: the classical one involving adapted conditions in the far past and a new one using biodiversity, specifically the presence of another predator which operates as a starter, being displaced in the sequel. (shrink)

In August of 1971, President Nixon announced that the United States was “closing the gold window,” bringing an end to the postwar system of international exchange rate stability and precipitating a period of significant uncertainty and transformation in global institutions. Although this critical historical episode is important for an understanding of historical “neoliberalism” and institutional change, modern sociological perspectives have scarcely been applied to it. The present analysis uses archival data to show that closing the gold window was never the (...) goal or preferred strategy of the Nixon administration, which had spent years preparing much more modest reforms. Nevertheless, US policymakers took this unilateral action as a contingency plan to achieve a short-term goal, knowing that it would dramatically change the functioning of the international economy. Surprisingly, the autonomous structure of the IMF did not channel US initiatives toward gradual evolution but rather helped determine a radical change in strategy. (shrink)

A collection of essays on theological topics: e.g., Creation, Divine Omnipotence and Human Freedom, Miracles, Visions, Death, The Existence of God. Both Christian and non-Christian views are simply and clearly examined in the philosophic style characteristic of contemporary British analysis. Apart from the editors, contributors include J. J. C. Smart, A. N. Prior, C. B. Martin, and D. M. Mackinnon.--J. P.

This English version of Van Riet's well-known L'épistémologie thomiste makes readily available, for the first time to students in this country, a comprehensive survey of developments in neo-Thomism from the middle of the nineteenth century to the middle of the twentieth. It is an indispensable reference work to a significant movement in contemporary philosophy. Volume I brings the reader to the year 1920 with the contributions of Maritain and Garrigou-Lagrange. Presumably, Volume II will make available the remainder of Van Riet's (...) study, that is, to the year 1946.—V. J. P. (shrink)

“The Will to Believe” defines the religious question as forced, living and momentous, but even in this article James asserts that more objective factors are involved. The competing religious hypotheses must both be equally coherent and correspond to experimental data to an equal degree. Otherwise the option is not a live one. “If I say to you ‘Be a theosophist or be a Mohammedan’, it is probably a dead option, because for you neither hypothesis is likely to be alive.” James, (...) WB, p. 3. Analogously, in A Pluralistic Universe James is at pains to convince the reader that his own religious hypothesis is just as “objective,” makes just as much sense, etc. as alternative possibilities: the “only thing I emphatically insist upon is that it [pluralistic pantheism] is a fully coordinate hypothesis with monism. This world may, in the last resort, be a block universe; but on the other hand, it may be a universe only strung along, not rounded in and closed. Reality may exist distributively just as it sensibly seems to, after all. On that possibility I do insist.”William James, A Pluralistic Universe (New York: Longmans, Green, and Co., 1909) p. 328.Here, once again, before the will to believe can be employed, the objective factors of competing hypotheses, their equal coherence and correspondence, must be brought out.When reconstructed, James' overall outlook has a “qausi Kuhnian” taint to it- though obvious differences remain. Much of what goes on in evaluating competing scientific hypotheses is either not forced, or not living, or not momentous, but rather “typical,” “dead,” and “avoidable,” in short very “normal.” But there are moments in the history of science where the decision between hypotheses might well be forced, living and momentous, and sometimes James comes close to recognizing this.Analogously, a good deal of what goes on in religion is not forced, not living or not momentous - in short it is all too “normal”. In The Varieties of Religious Experience for example, James proposes to ignore the institutional branch of the religious domain and to concentrate on personal and psychological factors, his reason being that the institutional aspect concentrates on the routine, the normal. “Worship and sacrifice, procedures for working on the dispositions of the deity, theology and ceremony and ecclesiastical organization, are the essentials of religion in the institutional branch. Were we to limit our view to it, we should have to define religion as an external art, the art of winning the favor of the gods.” James, VRE, p. 29. and again “The word ‘religion,’ as ordinarily used, is equivocal. A survey of history shows us that, as a rule, religious geniuses attract disciples, and produce groups of sympathizers. When these groups get strong enough to ‘organize’ themselves, they become ecclesiastical institutions with corporate ambitions of their own. The spirit of politics and the lust of dogmatic rule are then apt to enter and to contaminate the originally innocent thing; so that when we hear the word ‘religion’ nowadays, we think inevitably of some ‘church’ or other.” Clearly here religion has a normal, i.e. trivial side, just as does science. On the other hand, there are revolutionary moments in religion, such as that of choosing between theism and materialism in Pragmatism, or choosing among theism, monistic pantheism and pluralistic pantheism in A Pluralistic Universe. Such moments involve the will to believe and are clearly more personal than their counterparts in the domain of normal institutionalized religion. Going further, there are no doubt differences of degree between the will to believe decisions in science and the will to believe decisions in religion. These have been explicated in more specific terms by Ian Barbour in his article, “Paradigms in Science and Religion.” ...each of the ‘subjective’ features of science... is more evident in the case of religion: (1) the influence of interpretation on data, (2) the resistance of comprehensive theories of falsification, and (3) the absence of rules for choice among paradigms. Each of the corresponding ‘objective’ features of science is less evident in the case of religion: (1) the presence of common data on which disputants can agree, (2) the cumulative effect of evidence for or against a theory, and (3) the existence of criteria which are not paradigm-dependent. It is clear that in all three respects religion is a more ‘subjective’ enterprise than science. But in each case there is a difference of degree - not an absolute contrast between an ‘objective’ science and a ‘subjective’ religion. Ian Barbour, “Paradigms in Science and Religion,” in Paradigms and Revolutions, edited by Gary Gutting (Notre Dame: University of Notre Dame Press, 1980) pp. 242–43. Barbour correctly notes that the “...choice is not between religion and science, but between theism, pantheism, and naturalism, let us say, as each is expressed in a particular historical tradition. No basic beliefs are capable of demonstrable proof.”Ibid., p. 243. James sometimes comes close to recognizing this but his oscillation on the status of the everyday world of common sense, or the perceptual world, causes him not to see the issue clearly. When the animated world of the perceptual is taken as the all inclusive ‘really real,’ science is viewed as an abstract, second class citizen. But James offers what we would consider a more sophisticated and adequate perspective when he views the world of common sense, having become linguistified, as itself suspicious, and consequently views all three tiers - common sense, scholastic philosophy, and science - as “regional ontologies”, or “language games” in Wittgenstein's terminologySee Ludwig Wittgenstein, Philosophical Investigations, translated by G.E.M. Anscombe (New York: The Macmillan Company, 1953), paragraph 7, paragraph 23. For the notion of “regional ontology” see Edmund Husserl, Ideas, translated by W.R. Boyce Gibson (New York: Collier Books, Macmillan Publishing Company, Inc., 1962) p. 57ff; p. 158ff. - and opposes all three to a more primordial or prereflexive level. When James takes this second approach it is easier to see that the basic distinction he began to make in “The Will to Believe” was between the scientific and religious domain where the will to believe was to be employed, and the domain of “ordinary” religion and science. Finally this position anticipates his ultimate metaphysical outlook, viz. “pure experience” as approachable through language on a series of diverse regional levels, but nonetheless not completely describable within language. It is important to recall that in The Varieties of Religious Experience James distinguishes between the science of religions and what he calls living religion: [T] he science of religions may not be an equivalent for living religion; and if we turn to the inner difficulties of such a science, we see that a point comes when she must drop the purely theoretic attitude, and either let her knots remain uncut, or have them cut by active faith. James, VRE, p. 489. The study of religion, in short is not the activity of religion; the latter is animated, personal, and, we would argue, necessitates a commitment in terms of the will to believe. Once again, however, James hesitates over offering the same two-fold delineation in other areas of science. On the one hand he tells the reader that “science-has ended by utterly repudiating the personal point of view.”Ibid., p. 491. On the other hand, he offers the following comment a few pages later on in a footnote: ...the divorce between scientist facts and religious facts may not necessarily be as eternal as it at first sight seems, nor the personalism and romanticism of the world, as they appeared to primitive thinking, be matters so irrevocably outgrown. The final opinion may, in short, in some manner now impossible to forsee, revert to the more personal style, just as any path of progress may follow a spiral rather than a straight line. If this were so, the rigorously impersonal view of science might one day appear as having been a temporarily useful eccentricity rather than the definitely triumphant position which the sectarian scientist at present so confidently announces it to be.Ibid., p. 501, Footnote. The burden of this paper has been to indicate that when James' two-fold outlook on perception and/or common sense is properly reconstructed, the raproachment between science and religion is not so “impossible to forsee.”. (shrink)

This chapter contains sections titled: Background The Problem of No Best World Theistic Responses: Four Categories Works cited.

While my own philosophical views are largely in keeping with my mentor, Dallas Willard, nevertheless, I find his conception of the human person puzzling, hard to specify precisely, and prima facie contradictory in a few places. Dallas's central goal in formulating his anthropology was to develop a model that shed light on, allowed for deeper insight into, and fostered interest in spiritual formation, especially the role of the body in spiritual maturation. I share this goal, and agree with most of (...) his model. But in what follows, I will make more precise what his views were, try to clear up what, prima facie, seem to be contradictions in his theory, and, finally, recommend an alternative that captures the central concerns Dallas had for his own position. Thus, I will lay out a few general points of Dallas's ontology, provide a description of his philosophical/theological anthropology, along with two problems that seem to be present, and offer a slightly adjusted alternative to his position that accomplishes his main goal in a way with which I believe he would be satisfied. (shrink)

J P White; Intelligence and the Logic of the Nature-Nurture Issue, Journal of Philosophy of Education, Volume 8, Issue 1, 30 May 2006, Pages 30–51, https://doi.

I argue that Kripke’s construal of the distinction between speaker’s reference and semantic reference, in ‘Speaker’s reference and semantic reference’ (Kripke in Midwest Stud Philos 2:255–276, 1977), in conjunction with an intuitive view of the nature of conventions, implies a theory of semantic reference that is distinct from his causal theory. On this theory, semantic reference is conventionalized speaker’s reference. The argument concerning Kripke has two general implications. First, any theory that features a notion of speaker’s reference will have great (...) difficulty in avoiding the view that semantic reference is conventionalized speaker’s reference. Second, theories that deny that there is a viable notion of speaker’s reference, and thereby deny that semantic reference is conventionalized speaker’s reference, will face an uphill battle in meeting certain general constraints originating in the theory of conventions. (shrink)

Whereas several commentators have held that Kant’s argument for the postulate of private right fails insofar as it begs the question, I argue here that this criticism misses the mark. Critics have...

Conversational Artificial Intelligence (CAI) systems (also known as AI “chatbots”) are among the most promising examples of the use of technology in mental health care. With already millions of users worldwide, CAI is likely to change the landscape of psychological help. Most researchers agree that existing CAIs are not “digital therapists” and using them is not a substitute for psychotherapy delivered by a human. But if they are not therapists, what are they, and what role can they play in mental (...) health care? To answer these questions, we appeal to two well-established and widely discussed concepts: cognitive and affective artifacts. Cognitive artifacts are artificial devices contributing functionally to the performance of a cognitive task. Affective artifacts are objects which have the capacity to alter subjects’ affective state. We argue that therapeutic CAIs are a kind of cognitive-affective artifacts which contribute to positive therapeutic change by (i) simulating a (quasi-)therapeutic interaction, (ii) supporting the performance of cognitive tasks, and (iii) altering the affective condition of their users. This sheds new light on why virtually all existing mental health CAIs implement principles and techniques of Cognitive Behavioral Therapy — a therapeutic orientation according to which affective change and, ultimately, positive therapeutic change is mediated by cognitive change. Simultaneously, it allows us to conceptualize better the potential and limitations of applying these technologies in therapy. (shrink)