This article focusses on the generality of the entities involved in a geometric proof of the kind found in ancient Greek treatises: it shows that the standard modern translation of Greek mathematical propositions falsifies crucial syntactical elements, and employs an incorrect conception of the denotative letters in a Greek geometric proof; epigraphic evidence is adduced to show that these denotative letters are ‘letter-labels’. On this basis, the article explores the consequences of seeing that a Greek mathematical proposition is fully general, (...) and the ontological commitments underlying the stylistic practice. (shrink)

In a lengthy article E. Scerri and J. Worrall put forward the case for a novel ‘accommodationist’ version of the events surrounding the development of Mendeleef's Periodic Table 1869–1899. However these authors lay undue stress on the fact that President of the Royal Society of London Spottiswoode made absolutely no mention of Mendeleef's famous predictions in the Davy Medal eulogy in 1883 and undue stress on the fact that Cleve's classic 1879 Scandium paper contained an acknowledgement of Mendeleef's prior prediction (...) of eka-boron.They also fail to analyse in any detail the so-called ‘rare earth problem’ which, in the opinion of this author, causes problems for their account but not for a predictivist account. (shrink)

My discussion addresses the differences between analytic and continental philosophy concerning the use of logic and exact reasoning in philosophical practice. These differences are mainly examined in the light of the controversial dominance of Hegel's concept of logic (and theory of concept) in twentieth-century continental philosophy. The inquiry is developed in two parts. In the first (Sections 1-2), I indicate some aspects of the analytic-continental divide, pointing to the role that the topic 'logic and philosophy' plays in it. In the (...) second part (Sections 3-6), I give a short account of the views of logic which are typical of the three main trends of continental philosophy (see Table 1). I also suggest how, with the aid of some typical analytical devices, some continental 'anti-logical' attitudes may be corrected, on their own terms. (shrink)

The globalization in business and tourism becomes crucial more and more for the economical sustainability of local communities. In the presence of an epidemic outbreak, there must be such a decision on the policy by the host community as whether to accept visitors or not, the number of acceptable visitors, or the condition for acceptable visitors. Making use of an SIRI type of mathematical model, we consider the influence of visitors on the spread of a reinfectious disease in a community, (...) especially assuming that a certain proportion of accepted visitors are immune. The reinfectivity of disease here means that the immunity gained by either vaccination or recovery is imperfect. With the mathematical results obtained by our analysis on the model for such an epidemic dynamics of resident and visitor populations, we find that the acceptance of visitors could have a significant influence on the disease’s endemicity in the community, either suppressive or supportive. (shrink)

In a paper entitled "Revolution in Permanence", published in the collection "Karl Popper: Philosophy and Problems", John Worrall severely criticised several aspects of Karl Popper's work before commenting that "I have no doubt that, given sufficient motivation, a case could be constructed on the basis of such remarks that Popper had a more sophisticated version of theory production......". Part of Worrall's criticism is directed at a "strawpopper": in his "Darwinian Model" emphasising the similarities and differences between genetic mutation, variation in (...) animal behaviour and the gestation of scientific theories, Popper never stated that tentative scientific conjectures "while more or less random, are not completely blind." He was referring to variation in animal species behaviour, and about tentative scientific conjectures he said nothing, although common sense would indicate that presumably he regarded them as being less blind and less random. In Popper, giving a summary of his "Darwinian Model", he repaired this omission about tentative scientific conjectures by inserting the sentence "On a level of World 3 theory formation they are of the character of planned gropings into the unknown." Recent developments in the field of genetics, Lewis, Korn ) indicate that Popper's intuitions were along the modern lines while Worrall's intuitions are old fashioned. Therefore Popper's "Darwinian Model" remains both viable and fruitful. (shrink)

Listening to someone from some distance in a crowded room you may experience the following phenomenon: when looking at them speak, you may both hear and see where the source of the sounds is; but when your eyes are turned elsewhere, you may no longer be able to detect exactly where the voice must be coming from. With your eyes again fixed on the speaker, and the movement of her lips a clear sense of the source of the sound will (...) return. This ‘ventriloquist’ effect reflects the ways in which visual cognition can dominate auditory perception. And this phenomenological observation is one what you can verify or disconfirm in your own case just by the slightest reflection on what it is like for you to listen to someone with or without visual contact with them. (shrink)

In this book, Christopher F. Zurn shows why a normative theory of deliberative democratic constitutionalism yields the best understanding of the legitimacy of constitutional review. He further argues that this function should be institutionalized in a complex, multi-location structure including not only independent constitutional courts but also legislative and executive self-review that would enable interbranch constitutional dialogue and constitutional amendment through deliberative civic constitutional forums. Drawing on sustained critical analyses of diverse pluralist and deliberative democratic arguments concerning the legitimacy of (...) judicial review, Zurn concludes that constitutional review is necessary to ensure the procedural requirements for legitimate democratic self-rule through deliberative cooperation. Claiming that pure normative theory is not sufficient to settle issues of institutional design, Zurn draws on empirical and comparative research to propose reformed institutions of constitutional review that encourage the development of fundamental law as an ongoing project of democratic deliberation and decision. (shrink)

Background A morally sound framework for benefit-sharing is crucial to minimize research exploitation for research conducted in developing countries. However, in practice, it remains uncertain which stakeholders should be involved in the decision-making process regarding benefit-sharing and what the implications might be. Therefore the study aimed to empirically propose a framework for benefit-sharing negotiations in research by taking HIV vaccine trials as a case. Methods The study was conducted in Tanzania using a case study design and qualitative approaches. Data were (...) collected using in-depth interviews (IDI) and focus group discussions (FGD). A total of 37 study participants were selected purposively comprising institutional review board (IRB) members, researchers, community advisory board (CAB) members, a policymaker, and HIV/AIDS advocates. Deductive and inductive thematic analysis approaches were deployed to analyze collected data with the aid of MAXQDA version 20.4.0 software. Results The findings indicate a triangular relationship between the research community, researched community and intermediaries. However, the relationship ought to take into consideration the timing of negotiations, the level of understanding between parties and the phase of the clinical trial. The proposed framework operationalize partnership interactions in community-based participatory research. Conclusion In the context of this study, the suggested framework incorporates the research community, the community being researched, and intermediary parties. The framework would guarantee well-informed and inclusive decision-making regarding benefit-sharing in HIV vaccine trials and other health-related research conducted in resource-limited settings. (shrink)

The paper shows that, contrary to what has been held since the sixteenth-century mathematician Christoph Clavius, there is no application of consequentia mirabilis (CM) in Greek mathematical works. This is shown by means of a detailed discussion of the logical structure of the proofs where CM is allegedly employed. The point is further enlarged to a critical assessment of the unsound methodology applied by many interpreters in seeking for specific logical rules at work in ancient mathematical texts.

In discussing questions of free will, Soviet philosophers fail to distinguish conditions from causes. This makes them unable to understand the very opponents they like to criticize.

This paper explains how to use a new software tool for argument diagramming available free on the Internet, showing especially how it can be used in the classroom to enhance critical thinking in philosophy. The user loads a text file containing an argument into a box on the computer interface, and then creates an argument diagram by dragging lines from one node to another. A key feature is the support for argumentation schemes, common patterns of defeasible reasoning historically know as (...) topics . Several examples are presented, as well as the results of an experiment in using the system with students in a university classroom. (shrink)

This study examines the outcomes of a four-year faculty learning community (FLC) that aimed to transform departmental ethics curriculum by supporting Earth Sciences faculty members as they ethically inquired into their teaching of ethics and refined existing courses in alignment with an Integrated Community-Engaged Learning and Ethical Reflection (ICELER) framework. We present ethnographic case studies that unpack processes through which three faculty members transformed undergraduate courses. We assembled case studies by triangulating interview data, course artifacts, and faculty reflections. We examine (...) how faculty (1) built awareness around teaching ethics, (2) took responsibility for and made judgments about teaching ethics, (3) experimented by designing and implementing ICELER-inspired courses, and (4) interrogated the outcomes of their ethics teaching, utilizing findings to enhance awareness and revise courses. The paper closes by introducing a model detailing how instructors inquire into ethics teaching and how model components might inspire future educational practice and research. (shrink)

In Morals By Agreement, David Gauthier concludes that under certain conditions it is rational for an agent to be disposed to choose in accordance with a fair cooperative scheme rather than to choose the course of action that maximizes his utility. This is only one of a number of important claims advanced in that book. In particular, he also propounds a distinctive view concerning what counts as a fair cooperative arrangement. The thesis concerning the rationality of adopting a cooperative disposition (...) is, however, logically independent of his substantive view of a fair cooperative scheme and is itself central to the project as a whole. Gauthier's concern is to establish that certain moral principles are those that fully rational, self-interested persons would agree to take as regulative of their dealings with one another – that a contractarian approach, in this sense, can provide an adequate basis for a theory of morality. (shrink)

For 20th century mathematicians, the role of Cantor's sets has been that of the ideally featureless canvases on which all needed algebraic and geometrical structures can be painted. (Certain passages in Cantor's writings refer to this role.) Clearly, the resulting contradication, 'the points of such sets are distinc yet indistinguishable', should not lead to inconsistency. Indeed, the productive nature of this dialectic is made explicit by a method fruitful in other parts of mathematics (see 'Adjointness in Foundations', Dialectia 1969). This (...) role of Cantor's theory is compared with the role of Galois theory in algebraic geometry. (shrink)

Foundations and Applications depend ultimately for their existence on each other. The main links between them are education and the axiomatic method. Those links can be strengthened with the help of a categorical method which was concentrated forty years ago by Cartier, Grothendieck, Isbell, Kan, and Yoneda. I extended that method to extract some essential features of the category of categories in 1965, and I apply it here in section 3 to sketch a similar foundation within the smooth categories which (...) provide the setting for the mathematics of change. The possibility that other methods may be needed to clarify a contradiction introduced by Cantor, now embedded in mathematical practice, is discussed in section 5. (shrink)

0. The ancient and honorable role of philosophy as a servant to the learning, development and use of scientific knowledge, though sadly underdeveloped since Grassmann, has been re-emerging from within the particular science of mathematics due to the latter's internal need; making this relationship more explicit (as well as further investigating the reasons for the decline) will, it is hoped, help to germinate the seeds of a brighter future for philosophy as well as help to guide the much wider learning (...) of mathematics and hence of all the sciences. 1. The unity of interacting opposites "space vs. quantity", with the accompanying "general vs. particular" and the resulting division of variable quantity into the interacting opposites "extensive vs. intensive", is susceptible, with the aid of categories, functors, and natural transformations, of a formulation which is on the one hand precise enough to admit proved theorems and considerable technical development and yet is on the other hand general enough to admit incorporation of almost any specialized hypothesis. Readers armed with the mathematical definitions of basic category theory should be able to translate the discussion in this section into symbols and diagrams for calculations. 2. The role of space as an arena for quantitative "becoming" underlies the qualitative transformation of a spatial category into a homotopy category, on which extensive and intensive quantities reappear as homology and cohomology. 3. The understanding of an object in a spatial category can be approached through definite Moore-Postnikov levels; each of these levels constitutes a mathematically precise "unity and identity of opposites", and their ensemble bears features strongly reminiscent of Hegel's Science of Logic. This resemblance suggests many mathematical and philosophical problems which now seem susceptible of exact solution. (shrink)

This paper explores ethical debates associated with the UK COVID-19 contact tracing app that occurred in the public news media and broader public policy, and in doing so, takes ethics debate as an object for sociological study. The research question was: how did UK national newspaper news articles and grey literature frame the ethical issues about the app, and how did stakeholders associated with the development and/or governance of the app reflect on this? We examined the predominance of different ethical (...) issues in news articles and grey literature, and triangulated this using stakeholder interview data. Findings illustrate how news articles exceptionalised ethical debate around the app compared to the way they portrayed ethical issues relating to ‘manual’ contact tracing. They also narrowed the debate around specific privacy concerns. This was reflected in the grey literature, and interviewees perceived this to have emerged from a ‘privacy lobby’. We discuss the findings, and argue that this limited public ethics narrative masked broader ethical issues. (shrink)

Die »Enzyklopädie Philosophie- und Wissenschaftstheorie«, das größte allgemeine Nachschlagewerk zur Philosophie im deutschsprachigen Raum, wurde 1980 begonnen und 1996 mit dem vierten Band abgeschlossen. Sie erschien 2005 bis 2018 in einer komplett aktualisierten und erweiterten 8-bändigen Neuauflage, die hiermit nun in einer kartonierten Sonderausgabe vorliegt. Die »Enzyklopädie« umfasst in Sach- und Personenartikeln nicht nur den klassischen Bestand des philosophischen Wissens, sondern auch die neuere Entwicklung der Philosophie, insbesondere in den Bereichen Logik, Erkenntnis- und Wissenschaftstheorie sowie Sprachphilosophie. Zugleich finden Grundlagenreflexionen in (...) den Wissenschaften und deren Geschichte ausführliche Berücksichtigung. Die umfassenden Bibliographien und Werkverzeichnisse wurden für die 2. Auflage in allen Artikeln auf den neuesten Stand gebracht. Der Herausgeber Jürgen Mittelstraß, Professor em. für Philosophie und Wissenschaftstheorie an der Universität Konstanz, ist einer der international renommiertesten deutschen Philosophen. 1989 erhielt er den Leibniz-Preis der Deutschen Forschungsgemeinschaft (DFG) und seitdem zahlreiche weitere Wissenschaftspreise sowie Ehrendoktorwürden. Er ist Direktor des Konstanzer Wissenschaftsforums, war Präsident der Academia Europaea (2002-2008) und Vorsitzender des Österreichischen Wissenschaftsrates (2005-2015). Band 1: A-B | Band 2: C-F | Band 3: G-Inn | Band 4: Ins-Loc | Band 5: Log-N | Band 6: O-Ra | Band 7: Re-Te | Band 8: Th-Z. (shrink)

Background Scientific and technological advancements in mapping and understanding the interrelated pathways through which biological and environmental exposures affect disease development create new possibilities for detecting disease risk factors. Early detection of such risk factors may help prevent disease onset or moderate the disease course, thereby decreasing associated disease burden, morbidity, and mortality. However, the ethical implications of screening for disease risk factors are unclear and the current literature provides a fragmented and case-by-case picture. Methods To identify key ethical considerations (...) arising from the early detection of disease risk factors, we performed a systematic scoping review. The Scopus, Embase, and Philosopher’s Index databases were searched for peer-reviewed, academic records, which were included if they were written in English or Dutch and concerned the ethics of (1) early detection of (2) disease risk factors for (3) disease caused by environmental factors or gene-environment interactions. All records were reviewed independently by at least two researchers. Results After screening 2034 titles and abstracts, and 112 full papers, 55 articles were included in the thematic synthesis of the results. We identified eight common ethical themes: (1) Reliability and uncertainty in early detection, (2) autonomy, (3) privacy, (4) beneficence and non-maleficence, (5) downstream burdens on others, (6) responsibility, (7) justice, and (8) medicalization and conceptual disruption. We identified several gaps in the literature, including a relative scarcity of research on ethical considerations associated with environmental preventive health interventions, a dearth of practical suggestions on how to address expressed concerns about overestimating health capacities, and a lack of insights into preventing undue attribution of health responsibility to individuals. Conclusions The ethical concerns arising with the early detection of risk factors are often interrelated and complex. Comprehensive ethical analyses are needed that are better embedded in normative frameworks and also assess and weigh the expected benefits of early risk factor detection. Such research is necessary for developing and implementing responsible and fair preventive health policies. (shrink)