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

Context: Strict finitism is usually not taken seriously as a possible view on what mathematics is and how it functions. This is due mainly to unfamiliarity with the topic. Problem: First, it is necessary to present a “decent” history of strict finitism and, secondly, to show that common counterarguments against strict finitism can be properly addressed and refuted. Method: For the historical part, the historical material is situated in a broader context, and for the argumentative part, an evaluation of arguments (...) and counterarguments is presented. Results: The main result is that strict finitism is indeed a viable option, next to other constructive approaches, in mathematics. Implications: Arguing for strict finitism is more complex than is usually thought. For future research, strict finitist mathematics itself needs to be written out in more detail to increase its credibility. In as far as strict finitism is a viable option, it will change our views on such “classics” as the platonist-constructivist discussion, the discovery-construction debate and the mysterious applicability problem . Constructivist content: Strict finitism starts from the idea that counting is an act of labeling, hence the mathematician is an active subject right from the start. It differs from other constructivist views in that the finite limitations of the human subject are taken into account. (shrink)

Individual differences in moral views are often explained as the downstream effect of ideological commitments, such as political orientation and religiosity. Recent studies in the U.S. suggest that moral views about recreational drug use are also influenced by attitudes toward sex and that this relationship cannot be explained by ideological commitments. In this study, we investigate student samples from Belgium, The Netherlands, and Japan. We find that, in all samples, sexual attitudes are strongly related to views about recreational drug use, (...) even after controlling for various ideological variables. We discuss our results in light of reproductive strategies as determinants of moral views. (shrink)

The research addressed the issue of symbolic walls that divide, segregate, preserve and institutionalise. The way in which institutions and especially the Faculty of Theology at the University of Pretoria facilitated symbolic ‘walls’ was discussed in the overview of the Department of Science of Religion and Missiology in the first century of the Faculty of Theology. The concepts of ‘gatekeepers’ and ‘traders’ were then applied because walls, paradoxically, need gates to facilitate control, movement and, eventually, life. Gatekeepers were described as (...) the guardians of the status quo, and traders as agents who, in one way or another, facilitate movement, trade, flow and life in the midst of the shadows of walls. Missionaries are, by the very nature of the missionary enterprise, more traders than gatekeepers. Here, the work of Bosch – specifically his ground-breaking work on mission as contextualisation – provides an explanation of the art of mission as breaking down walls, opening gates and empowering traders. That is precisely why Missiology is particularly well suited to assist the church and theology in the art of breaking down walls. The theological imperative of contextualisation means that the life of the church, theology, and thus theological training, cannot do without Missiology. The concept of ‘deep contextualisation’ was discussed as a particularly relevant approach to include a post-anthropomorphic discourse in Missiology. It can assist with the reorientation of the history of mission on the whole of history and, thus, also deep history. The concept also provides a way to address the discourses on colonialisation and includes a reorientation on the future and embracing hope. (shrink)

The doctrine of the mature minor began as an emergency exception to the rule of parental consent. Over time, the doctrine crept into cases that were non-emergent. In this essay, we show how the doctrine also developed in the context of the latter part of the 20th century, at the same time that the sexual revolution, the pill, and sexual liberation came to be seen as important symbols of female liberation—liberation that required that female minors be granted the status of (...) a mature minor. To do so moves sexual morality out of the domain of the family, where it had always been situated, and into the domain of the state. We also show how a phenomenological account of the care of the body in the family conforms to the latest in neuroscientific understandings of adolescent brain development. The family attenuates the dependency of adolescents and provides an important social contextualization for the care of the body, including the inculcation of sexual mores in adolescence. We conclude that the drive to push sexual decision making as a matter of state concern further undermines the foundations of the moral meanings of sex and sexuality. (shrink)

Onderwerp en gezegde, door D. M. Bakker.--Enkele opmerkingen over het Godsbegrip van Justinus Martyr, door J. den Boeft.--Heidegger, Descartes, Luther, door J. van der Hoeven.--"Geschichtlichkeit" bij Carl Friedrich von Weizsäcker, door G. Horsman.--Menselijke ontmaskering en Bijbels démasqué , door R. Huson.--Kleine geschiedenis van het begrip "niets" in de antieke wijsbegeerte (tot e met de Sofisten en Plato), door P. A. Meijer.--De structuur van opvoeden en opvoedkunde, door J. W. Mojet.--Individualiteit in de fysica, door M. D. (...) Stafleu. (shrink)

During the 1970s, prenatal screening technologies were in their infancy, but were being swiftly harnessed to uncover and prevent spina bifida. The historical rise of this screening process and prevention programme is analysed in this paper, and the role of ethical debates in key studies, editorials and letters reported in the Lancet, and other related texts and governmental documents between 1972 and 1983, is considered. The silence that surrounded rigorous ethical debate served to highlight where discussion lay—namely, within the justifications (...) offered for the prevention of spina bifida, and the efficacy and benefits of screening. In other words, the ethical justification for screening and prevention of spina bifida, when the authors are not explicitly interested in ethics, is considered. These justifications held certain notions of disability as costly to society, with an imperative to screen and prevent spina bifida for the good of the society. (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)

The Caesar problem arises for abstractionist views, which seek to secure reference for terms such as ‘the number of Xs’ or #X by stipulating the content of ‘unmixed’ identity contexts like ‘#X = #Y’. Frege objects that this stipulation says nothing about ‘mixed’ contexts such as ‘# X = Julius Caesar’. This article defends a neglected response to the Caesar problem: the content of mixed contexts is just as open to stipulation as that of unmixed contexts.

Burgess, J.P. and Rosen, G. Subject with No ObjectElliott, R.Faking Nature.

There are two undoubted instances of this use of Neaera in Prudentius which are cited by Mr. Ullman in support of his contention that in Horace another proper name may be similarly employed. I imagine however that to an unprejudiced sense of Latin usage these instances will themselves seem to be strange and in need of explanation.

Thus reads the ‘optimus Laurentianus,’ and starting hence we shall refuse claudent, the facile but incoherent correction of some MSS., and still more the claudunt which the majority offer. Nor for all that shall we make the ineptitude of these readings a ground for condemning the pentameter, which, save for its lack of grammatical construction, is perfectly faultless in expression. Turning our attention to the hexameter, we observe that Parca, a synonym for fata with trahebat will set everything right. The (...) offending fata is due to a gloss or an unfortunate reminiscence. (shrink)