The traditional understanding of abstraction operates on the basis of the assumption that only entities are subject to thought processes in which particulars are disregarded and commonalities are lifted out (the so-called method of genus proximum and differentia specifica). On this basis Frege criticized the notion of abstraction and convincingly argued that (this kind of) “entitary- directed” abstraction can never provide us with any numbers. However, Frege did not consider the alternative of “property- abstraction.” In this article an argument for (...) this alternative kind of abstraction is formulated by introducing a notion of the “modal universality” of the arithmetical and by developing it in terms of the distinction between type-laws (laws for entities – applicable to a limited class of entities) and modal laws (obtaining for every possible entity without any restriction). In order to substantiate this argument a case is made for the acceptance of an ontic foundation for the arithmetical (and other modes or functions of reality – with special reference to Cassirer, Bernays, Gödel and Wang), which, in the final section, serves to give an ontological account of (i) the connections between the arithmetical and other aspects of reality and (ii) the applicabality of arithmetic. In the course of the argument the impasse of logicism is briefly highlighted, while a few remarks are made with regard to the logical subject- object relation in connection with Frege's view that number attaches to a concept. S. Afr. J. Philos. Vol.22(1) 2003: 63-80. (shrink)

By taking serious a remark once made by Paul Bernays, namely that an account of the nature of rationality should begin with concept-formation, this article sets out to uncover both the restrictive and the expansive boundaries of rationality. In order to do this some implications of the perennial philosophical problem of the “coherence of irreducibles” will be related to the acknowledgement of primitive terms and of their indefinability. Some critical remarks will be articulated in connection with an over-estimation of rationality (...) – concerning the influence of Kant's view of human understanding as the formal law-giver of nature (the supposedly “rational structure of the world”), and the apparently innocent (subjectivist) habit to refer to experiential entities as 'objects'. The other side of the coin will be highlighted with reference to those kinds of knowledge transcending the limits of concept-formation – culminating in formulating the four most basic idea-statements philosophy can articulate about the universe. What is found “in-between” these (restrictive) and (expansive) boundaries of rationality will then briefly be placed within the contours of a threefold perspective on the self-insufficiency of logicality – as merely one amongst many more dimensions conditioning human life. Although the meaning of the most basic logical principles – such as the logical principles of identity, non-contradiction and sufficient reason – will surface in our analysis, exploring some of the complex issues in this respect, such as the relationship between thought and language, will not be analysed. The important role of solidarity – as the basis of critique – will be explained and related both to the role of immanent criticism in rational conversation and the importance of acknowledging what is designated as the principle of the excluded antinomy (which in an ontic sense underlies the logical principle of non-contradiction). The last section of our discussion will succinctly illuminate the proper place of the inevitable trust we ought to have in rationality – while implicitly warning against the rationalistic over-estimation of it (its degeneration into a rationalist “faith in reason”). Our intention is to enhance an awareness of the reality that rationality is embedded in and borders on givens which are not open to further “rational” exploration – givens that both condition (in a constitutive sense) and transcend the limits of conceptual knowledge. Some of the distinctions and insights operative in our analysis are explained in Strauss 2000 and 2003. Yet, most of the systematic perspectives found in this analysis of rationality are only developed in this article for the first time. Since a different study is required to discuss related problems and results found within cognitive science, it cannot be discussed within one article. S. Afr. J. Philos. Vol.22(3) 2003: 247–266. (shrink)

The Systems Theory is a complex theory (yet it is not identical to recent theories of complexity). The intention of this qualification is to demonstrate that the concept of a system is a complex basic concept of scientific thinking. This means that it is defined in terms of various elementary basic concepts brought together in its explication. The definition given by Von Bertalanffy to the concept of a system employs conceptual elements coming from at least five prominent conceptual clusters. In (...) order to highlight the nature and interrelations between these clusters this article focuses upon perennial philosophical issues which present themselves within the definition of a system. They are those of stability and change, the one and the many (unity and multiplicity), the whole and its parts, and the relation between the material and the vital. An analysis of the interrelations between these clusters provides the basis for an assessment of the scope and limitations Von Bertalanffy's concept of a system. S. Afr. J. Philos. Vol.21(3) 2002: 163-179. (shrink)

An overview of the history of the concept of matter highlights the fact that alternative modes of explanation were successively employed. With the discovery of irrational numbers the initial conviction of the Pythagorean School collapsed and was replaced by an exploration of space as a principle of understanding. This legacy dominated the medieval period and had an after-effect well into modernity—for both Descartes and Kant still characterized matter in spatial terms. However, even before Galileo the mechanistic world view slowly entered (...) the scene—the world as chaos, particles in motion. Elevating movement to become the guiding principle in our understanding of matter dominated the main tendency of modern physics until the (end of the) 19th century. The discovery of irreversible processes (radio-activity for example) directed 20th century physics towards an exploration of the meaning of energy-operation. It turned out that even within 20th century physics long-standing legacies prevailed, because an account of the nature of matter continued to be torn apart by atomistic and holistic views—confronted by the problem of constancy and change (radical transformability versus persistence). Concrete, material reality exceeds the scope of any single mode of explanation—an insight that also serves a better understanding of the wave-particle duality. (shrink)

Because Gadamer is very sensitive to the role of history, tradition and authority within human life, the overall intention of this article will be to unveil major elements of modern philosophy which exerted an influence upon his thought. In this sense it can be seen as applying his notion of 'Wirkungsgeschichte' to an assessment of certain aspects of his own thought. Particularly in his view on causality and history Gadamer illustrates the intimate connection of his thought with the dialectics of (...) nature and freedom. S. Afr. J. Philos. Vol.21(4) 2002: 291-305. (shrink)

Since the discovery of incommensurability in ancient Greece, arithmeticism and geometricism constantly switched roles. After ninetieth century arithmeticism Frege eventually returned to the view that mathematics is really entirely geometry. Yet Poincaré, Brouwer, Weyl and Bernays are mathematicians opposed to the explication of the continuum purely in terms of the discrete. At the beginning of the twenty-first century ‘continuum theorists’ in France (Longo, Thom and others) believe that the continuum precedes the discrete. In addition the last 50 years witnessed the (...) revival of infinitesimals (Laugwitz and Robinson—non-standard analysis) and—based upon category theory—the rise of smooth infinitesimal analysis and differential geometry. The spatial whole-parts relation is irreducible (Russell) and correlated with the spatial order of simultaneity. The human imaginative capacities are connected to the characterization of points and lines (Euclid) and to the views of Aristotle (the irreducibility of the continuity of a line to its points), which remained in force until the ninetieth century. Although Bolzano once more launched an attempt to arithmetize continuity, it appears as if Weierstrass, Cantor and Dedekind finally succeeded in bringing this ideal to its completion. Their views are assessed by analyzing the contradiction present in Grünbaum’s attempt to explain the continuum as an aggregate of unextended elements (degenerate intervals). Alternatively a line-stretch is characterized as a one-dimensional spatial subject, given at once in its totality (as a whole) and delimited by two points—but it is neither a breadthless length nor the (shortest) distance between two points. The overall aim of this analysis is to account for the uniqueness of discreteness and continuity by highlighting their mutual interconnections exemplified in the nature of a line as a one-dimensional spatial subject, while acknowledging that points are merely spatial objects which are always dependent upon an extended spatial subject. Instead of attempting to reduce continuity to discreteness or discreteness to continuity, a third alternative is explored: accept the irreducibility of number and space and then proceed by analyzing their unbreakable coherence. The argument may be seen as exploring some implications of the view of John Bell, namely that the “continuous is an autonomous notion, not explicable in terms of the discrete.” Bell points out that initially Brouwer, in his dissertation of 1907, “regards continuity and discreteness as complementary notions, neither of which is reducible to each other.”. (shrink)

New class of therapies, including bipolar therapies (BPT) and paradoxical unipolar therapies (PUT) were firstly proposed in relation to a clinical insight and to some results of biological investigations, then they gave rise to mathematical modeling which brought a justification of these therapies, at least from a theoretical point of view. After recalling the mathematical model for the regulation of agonistic antagonistic couples, and reporting the fundamental types of control simulation by means of it, we point out the validity of (...) therapeutical applications inferred from this model. These therapy modalities, including BPT and PUT, now concern the following diseases: astrocytomas, epilepsia and trials on multiple sclerosis. Even if such attempts are in their early stage, noticeably for the last case where biological changes have mainly been studied, it seems that a large span of treatments is open to BPT and PUT. Improvement of these techniques in the future depends, in our opinion, on a parallel working on the dynamics of the mathematical model and the dynamics, perceived by clinical insight and confirmed by biological investigations, of the body reactions to such strategies. Justification of BPT and PUT was given, by resorting to the notion of pathological homeostasis which, too often, intervenes in order to nullify the effects of unilateral (not paradoxical) therapies. This research has elicited some therapies which use two agents with antagonistic effects or only an agent with effects similar to the agent already in excess in the body - in both cases at nearly physiological doses. (shrink)

A Christian approach to scholarship, directed by the central biblical motive of creation, fall and redemption and guided by the theoretical idea that God subjected all of creation to His Law-Word, delimiting and determining the cohering diversity we experience within reality, in principle safe-guards those in the grip of this ultimate commitment and theoretical orientation from absolutizing or deifying anything within creation. In this article my over-all approach is focused on the one-sided legacy of mathematics, starting with Pythagorean arithmeticism (“everything (...) is number”), continuing with the geometrization of mathematics after the discovery of irrational numbers and once again, during the nineteenth century returning to an arithmeticistic position. The third option, never explored during the history of mathematics, guides our analysis: instead of reducing space to number or number to space it is argued that both the uniqueness of these two aspects and their mutual coherence ought to direct mathematics. The presence of different schools of thought is highlighted and then the argument proceeds by distinguishing numerical and spatial facts, while accounting for the strict correlation of operations on the law side of the numerical aspect and their correlated numerical subjects (numbers). Discussing the examples of 2 + 2 = 4 and the definition of a straight line as the shortest distance between two points provide the background for a brief sketch of the third alternative proposed (inter alia against the background of an assessment of infinity and continuity and the vicious circles present in contemporary mathematical arithmeticistic claims). (shrink)

Après avoir circonscript son sujet, l'auteur, en s'inspirant des travaux de Erwin Strauss, affronte les doctrines psychanalytiques concernant les états obsessionnelles. Il se livre en particulier à une critique du concept de libido orale et anale. Indépendemment des conceptions freudiennes il entreprend ensuite un examen de la relation entre liberté et obsession dans la réalisation de l'existence. Plus particulièrement il examine l'image de l'attirance de l'abîme comme obsession absolue. Et il s'efforce de délimiter ensuite les limites de la liberté (...) par rapport à la disposition à l'obsession vécue. L'étude se concentre ensuite sur le sujet de l'obsession et de la quasi-obsession dans la vie normale. A ce propos il examine successivement les expériences obsessionnelles qui peuvent être vécues d'une manière plus ou moins quotidienne et qui sont les suivantes : Représentations et pensées obsédantes en état d'insomnie ; l'étrangeté vécue comme obsédente ; l'état de trouble caractéristique à la situation du seuil comme obsession vécue ; 'je dois faire ce que je ne veux pas faire' ; à propos de certains gestes superstitieux comme manifestation d'une angoisse passagère ; 'quelque chose m'agace' ; 'ce que j'ai fait me tourmente'. (shrink)

Ethical concerns regarding agricultural practices can be found to co-evolve with technological developments. This paper aims to create an understanding of ethics that is helpful in debating technological innovation by studying such a co-evolution process in detail: the development and adoption of the milking robot. Over the last decade an increasing number of milking robots, or automatic milking systems (AMS), has been adopted, especially in the Netherlands and a few other Western European countries. The appraisal of this new technology in (...) ethical terms has appeared to be a complicated matter. Compared to using a conventional milking parlor, the use of an AMS entails in several respects a different practice of dairy farming, the ethical implications and evaluation of which are not self-evident but are themselves part of a dynamic process. It has become clear that with its use, the entire practice of dairy farming has been reorganized around this new device. With a robot, cows must voluntarily present themselves to be milked, whereby an ethical norm of (individual) freedom for cows can be seen to emerge together with this new technology. But adopting a robot also implies changes in what is considered to be a good farmer and an appropriate relation between farmer and cow. Through interviews, attending “farmers’ network” meetings in the Netherlands, and studying professional literature and dedicated dairy farming web forums, this paper traces the way that ethical concerns are a dynamic part of this process of rearranging a variety of elements of the practice of dairy farming. (shrink)

This article describes a practical example of the predicate grue, examining the economic relationship between the percentage rate of unemployment and the percentage change of money wage rates known as the simple Phillips curve which exhibited regular behaviour before 1969 and erratic behaviour thereafter. It is proposed that such practical examples of grue from the real world be redescribed as regulatic. i.e. regular before time t and erratic thereafter. In the instance of a scientific model or theory being falsified it (...) is proposed to describe the predicate as tralse, i.e true before time t and false thereafter. The example to be discussed is a stronger example since entities in the real world started to behave in an extremely unpredictable fashion. (shrink)

Bioethical Prescriptions collects F.M. Kamm's articles on bioethics -- revised for publication in book form -- which have appeared over the last 25 years and which have made her among the most widely-respected philosophers working in this field.

I begin by reconsidering the arguments of John Taurek and Elizabeth Anscombe on whether the number of people we can help counts morally. I then consider arguments that numbers should count given by F. M. Kamm and Thomas Scanlon, and criticism of them by Michael Otsuka. I examine how different conceptions of the moral method known as pairwise comparison are at work in these different arguments and what the ideas of balancing and tie-breaking signify for decision-making in various types of (...) cases. I conclude by considering how another moral method that I call virtual divisibility functions and what it helps reveal about an argument by Otsuka against those who do not think numbers count. (shrink)

This book is a philosophical discussion of moral, legal, and medical issues related to aging, dying, and death. One of its aims is to decide whether and when it might make sense to not resist or bring about the end of one's life. To answer this question it considers views about meaning in life and what makes life worth living. It also evaluates recent attempts to help the general public plan in advance for the end of life. It also considers (...) whether or not physician-assisted suicide is morally permissible and if it should be legalized. (shrink)

Ethics for Enemies comprises three original philosophical essays on torture, terrorism, and war. F. M. Kamm deploys ethical theory in her challenging new treatments of these most controversial practical issues. First she considers the nature of torture and the various occasions on which it could occur, in order to determine why it might be wrong to torture a wrongdoer held captive, even if this were necessary to save his victims. In the second essay she considers what makes terrorism wrong--whether it (...) is the intention to harm civilians, rather than harm to them being 'collateral damage,' or something else--and whether terrorism is always wrong. The third essay discusses whether having a right reason, in the sense of a right intention, is necessary in order for a war to be just. Kamm then examines ways in which the harms of war can be proportional to the achievement of the just cause and other goods that war can bring about, so as to make the declaration of war permissible. (shrink)

This article considers the possible relation between the idea of parity and some past work on the allocation of scarce resources. Parity of value is first connected with the idea of some goods being irrelevant in interpersonal comparisons. The notion of moral parity is introduced to describe the recognition that people who are moral equals (even when they are not on a par in terms of value) as not substitutable. The relation between a Separability Test and nonsubstitutability of persons is (...) considered. These ideas are then used to discuss various cases in which one must choose to whom to provide medical assistance, including whether and when to distinguish morally between a disabled and a nondisabled person. (shrink)