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)

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)

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)

Signals to the brain from the flows of energy around the body, varied primarily by declining amounts of food energy in the stomach, can explain the pattern of meals in the laboratory rat, the differences between dark and light phases, and the development of obesity ion the rat wioth VMH lesions but normal sating.

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)

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)

BackgroundWhen conducting research with Indigenous populations consent should be sought from both individual participants and the local community. We aimed to search and summarise the literature about methods for seeking consent for research with Indigenous populations.MethodsA systematic literature search was conducted for articles that describe or evaluate the process of seeking informed consent for research with Indigenous participants. Guidelines for ethical research and for seeking consent with Indigenous people are also included in our review.ResultsOf 1447 articles found 1391 were excluded (...) ; 56 were relevant and included. Articles were categorised into original research that evaluated the consent process or publications detailing the process of seeking consent and guidelines for ethical research. Guidelines were categorised into international ; national and state/regional/local guidelines. In five studies based in Australia, Canada and The United States of America the consent process with Indigenous people was objectively evaluated. In 13 other studies interpreters, voice recording, videos, pictures, flipcharts and “plain language” forms were used to assist in seeking consent but these processes were not evaluated. Some Indigenous organisations provide examples of community-designed resources for seeking consent and describe methods of community engagement, but none are evaluated. International, national and local ethical guidelines stress the importance of upholding Indigenous values but fail to specify methods for engaging communities or obtaining individual consent. In the ‘Grey literature’ concerns about the consent process are identified but no solutions are offered.ConclusionConsultation with Indigenous communities is needed to determine how consent should be sought from the community and the individual, and how to evaluate this process. (shrink)

Researchers are required to seek consent from Indigenous communities prior to conducting research but there is inadequate information about how Indigenous people understand and become fully engaged with this consent process. Few studies evaluate the preference or understanding of the consent process for research with Indigenous populations. Lack of informed consent can impact on research findings. The Picture Talk Project was initiated with senior Aboriginal leaders of the Fitzroy Valley community situated in the far north of Western Australia. Aboriginal people (...) were interviewed about their understanding and experiences of research and consent processes. Transcripts were analysed using NVivo10 software with an integrated method of inductive and deductive coding and based in grounded theory. Local Aboriginal interpreters validated coding. Major themes were defined and supporting quotes sourced. Interviews with Aboriginal leaders were facilitated by a local Aboriginal Community Navigator who could interpret if necessary and provide cultural guidance. Participants were from all four major local language groups of the Fitzroy Valley; aged 31 years and above; and half were male. Themes emerging from these discussions included Research—finding knowledge; Being respectful of Aboriginal people, Working on country, and Being flexible with time; Working together with good communication; Reciprocity—two-way learning; and Reaching consent. The project revealed how much more there is to be learned about how research with remote Aboriginal communities should be conducted such that it is both culturally respectful and, importantly, meaningful for participants. We identify important elements in community consultation about research and seeking consent. (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)

This study discusses how perceptions of ethics are formed by certified public accountants (CPAs). Theologians are used as a point of comparison. When considering CPA ethical dilemmas, both subject groups in this research project viewed confidentiality and independence as more important than recipient of responsibility and seriousness of breach. Neither group, however, was insensitive to any of the factors presented for its consideration. CPA reactions to ethical dilemmas were governed primarily by provisions of the CPA ethics code; conformity to that (...) code may well be evidence of higher stage moral reasoning. (shrink)

The consent and community engagement process for research with Indigenous communities is rarely evaluated. Research protocols are not always collaborative, inclusive or culturally respectful. If participants do not trust or understand the research, selection bias may occur in recruitment, affecting study results potentially denying participants the opportunity to provide more knowledge and greater understanding about their community. Poorly informed consent can also harm the individual participant and the community as a whole. Invited by local Aboriginal community leaders of the Fitzroy (...) Valley, the Kimberley, Western Australia, The Picture Talk project explores the consent process for research. Focus groups of Aboriginal community members were conducted to establish preferences for methods of seeking individual consent. Transcripts were analysed through NVivo10 Qualitative software using grounded theory with inductive and deductive coding. Themes were synthesised with quotes highlighted. Focus groups with Aboriginal community members were facilitated by a Community Navigator as a cultural guide and interpreter and a researcher. Participants were recruited from all main language groups of the Fitzroy Valley – Gooniyandi, Walmajarri, Wangkatjungka, Bunuba and Nikinya. Participants were aged ≥18 years, with 5 female groups and one male group. Themes identified include: Reputation and trust is essential; The Community Navigator is key; Pictures give the words meaning – milli milli versus Pictures; Achieving consensus in circles; Signing for consent; and Research is needed in the Valley. Aboriginal communities of the Fitzroy Valley recommend that researchers collaborate with local leaders, develop trust and foster a good reputation in the community prior to research. Local Aboriginal researchers should be employed to provide cultural guidance throughout the research process and interpret local languages especially for elders. Pictures are preferred to written text to explain research information and most prefer to sign for consent. The Fitzroy Valley welcomes research when collaborative and for the benefit of the community. Future research could include exploring how to support young people, promote health screening and improve understanding of medical knowledge. (shrink)

This book collects texts from three specialists in ancient philosophy which deal with the question of perceptive and intellective knowledge in antiquity. They try to present, in their different analyzes, the complex interrelationship among perception and thought in ancient authors, like Heraclitus, Parmenides, Democritus, Plato and Aristotle. The purpose of the texts is to expose the visible field - the perceptual knowledge domain - interacts with the invisible - the domain of reason and thought. In other words, that among them (...) there is no a radical separation of these two areas, although they are clearly distinct. (shrink)