Anyone who has pondered the limitlessness of space and time, or the endlessness of numbers, or the perfection of God will recognize the special fascination of this question. Adrian Moore's historical study of the infinite covers all its aspects, from the mathematical to the mystical.

Philosophy of science in the twentieth century tends to emphasize either the logic of science (e.g., Popper and Hempel on explanation, confirmation, etc.) or its history/sociology (e.g., Kuhn on revolutions, holism, etc.). This dichotomy, however, is neither exhaustive nor exclusive. Questions regarding scientific understanding and mathematical explanation do not fit neatly inside either category, and addressing them has drawn from both logic and history. Additionally, interest in scientific and mathematical practice has led to work that falls between the two sides (...) of the dichotomy. We might call these less narrow approaches ‘holistic’. Prior to 1918, work in the philosophy of science was also somewhat more holistic and interdisciplinary in nature. An exemplar of this type of approach is found in the work of Henri Poincaré. In this paper I will consider one particularly flexible tool Poincaré uses throughout his philosophical writings about science and mathematics: the tool of the unifying concept. More specifically, I will focus on one unifying concept: that of structure. I aim to show first, that structure is a unifying scientific concept for Poincaré; second, a focus on structure helps explain his scientific and mathematical success; lastly, this case study may provide a model for how unifying concepts can facilitate progress in mathematics and science. (shrink)

The mathematical developments of the 19th century seemed to undermine Kant’s philosophy. Non-Euclidean geometries challenged Kant’s view that there is a spatial intuition rich enough to yield the truth of Euclidean geometry. Similarly, advancements in algebra challenged the view that temporal intuition provides a foundation for both it and arithmetic. Mathematics seemed increasingly detached from experience as well as its form; moreover, with advances in symbolic logic, mathematical inference also seemed independent of intuition. This paper considers various philosophical responses to (...) these changes, focusing on the idea of modifying Kant’s conception of intuition in order to accommodate the increasing abstractness of mathematics. It is argued that far from clinging to an outdated paradigm, programs based on new conceptions of intuition should be seen as motivated by important philosophical desiderata, such as the truth, apriority, distinctiveness and autonomy of mathematics. (shrink)

Though logical positivism is part of Kant's complex legacy, positivists rejected both Kant's theory of intuition and his classification of mathematical knowledge as synthetic a priori. This paper considers some lingering defenses of intuition in mathematics during the early part of the twentieth century, as logical positivism was born. In particular, it focuses on the difficult and changing views of Hermann Weyl about the proper role of intuition in mathematics. I argue that it was not intuition in general, but his (...) commitment to twodifferent types of intuition, which explains his rather unusual and tormented philosophy of the mathematical continuum. I would like to thank Geoff Gorham, David McCarty, and Rosamond Rodman for reading an earlier draft of this work. I should also thank those who provided helpful comments on several distant ancestors of this paper: Emily Carson, Ulrich Majer, Erhard Scholz, John Schuerman, Stewart Shapiro, and Richard Tieszen. I am indebted to two anonymous referees for pointing out some problems and for pointing me to work on Weyl I did not previously know about. In particular, the recent articles in [Feist, 2004a] turned out to be (somewhat uncomfortably) relevant to the focus of this paper. In this last revision I have tried to show where I agree and disagree with the authors of those papers; I apologize for whatever repetition still exists, but it was tere before I read those papers. This paper has a long history, and comes out of several talks I gave some years ago. Audiences at the Center for Philosophy of Science, University of Pittsburgh (colloquium 1995), St Andrews University Philosophy of Mathematics Workshop (1996), the British Society for the History of Mathematics meeting (1996), the University of Mainz Mathematics Department (colloquium 1996), the Canadian Philosophical Association (1997 and 1999), and the University of British Columbia (colloquium 1998) should be thanked for their helpful comments. I also thank Neil Tennant for encouraging me to resurrect this work. CiteULike Connotea Del.icio.us What's this? (shrink)

Although it is clear that Sir William Rowan Hamilton supported a Kantian account of algebra, I argue that there is an important sense in which Hamilton's philosophy of mathematics can be situated in the Newtonian tradition. Drawing from both Niccolo Guicciardini's (2009) and Stephen Gaukroger's (2010) readings of the Newton–Leibniz controversy over the calculus, I aim to show that the very epistemic ideals that underpin Newton's argument for the superiority of geometry over algebra also motivate Hamilton's philosophy of algebra. Namely, (...) Hamilton's defense of algebra, like Newton's defense of geometry, is driven by the claim that a mathematical science must have a proper object and thus a basis in truth. In particular, Hamilton aims to show that algebra is not a mere language, or tool, or a mere “art”; instead, he argues, algebra is a bona fide mathematical science, like geometry, because its methods also provide true and accurate insight into a genuine subject matter, namely, the pure form of temporal intuition. (shrink)

There is a basic division in the philosophy of mathematics between realist, ‘platonist’ theories and anti-realist ‘constructivist’ theories. Platonism explains how mathematical truth is strongly objective, but it does this at the cost of invoking mind-independent mathematical objects. In contrast, constructivism avoids mind-independent mathematical objects, but the cost tends to be a weakened conception of mathematical truth. Neither alternative seems ideal. The purpose of this paper is to show that in the philosophical writings of Henri Poincaré there is a coherent (...) argument for an interesting position between the two traditional poles in the philosophy of mathematics. Relying on a semi-Kantian framework, Poincaré combines an epistemological and metaphysical constructivism with a more realist account of the nature of mathematical truth. (shrink)

In his first philosophy book, Science and Hypothesis, Poincare provides a picture in which the different sciences are arranged in a hierarchy. Arithmetic is the most general of all the sciences because it is presupposed by all the others. Next comes mathematical magnitude, or the analysis of the continuum, which presupposes arithmetic; and so on. Poincare's basic view was that experiment in science depends on fixing other concepts first. More generally, certain concepts must be fixed before others: hence the hierarchy. (...) This paper attempts to dissolve some potential problems regarding Poincare's hierarchy. One is an apparent epistemological circularity in the hierarchy. A more serious problem regarding the epistemology of analysis is also addressed. (shrink)

The primary concern of this thesis is to investigate the explicit philosophy of mathematics in the work of Henri Poincare. In particular, I argue that there is a well-founded doctrine which grounds both Poincare's negative thesis, which is based on constructivist sentiments, and his positive thesis, via which he retains a classical conception of the mathematical continuum. The doctrine which does so is one which is founded on the Kantian theory of synthetic a priori intuition. I begin, therefore, by outlining (...) Kant's theory of the synthetic a priori, especially as it applies to mathematics. Then, in the main body of the thesis, I explain how the various central aspects of Poincare's philosophy of mathematics - e.g. his theory of induction; his theory of the continuum; his views on impredicativiti his theory of meaning - must, in general, be seen as an adaptation of Kant's position. My conclusion is that not only is there a well-founded philosophical core to Poincare's philosophy, but also that such a core provides a viable alternative in contemporary debates in the philosophy of mathematics. That is, Poincare's theory, which is secured by his doctrine of a priori intuitions, and which describes a position in between the two extremes of an "anti-realist" strict constructivism and a "realist" axiomatic set theory, may indeed be true. (shrink)

There are several distinct components of the realist anti-realist debate. Since each side in the debate has its disadvantages, it is tempting to try to combine realist theses with anti-realist theses in order to obtain a better, more moderate position. Putnam attempts to hold a realist concept of truth, yet he rejects realist metaphysics and realist semantics. He calls this view internal realism. Truth is realist on this picture for it is objective, rather than merely intersubjective, and eternal. Putnam introduces (...) a concept of epistemic idealization — epistemically ideal conditions, or idealized justification — to try to ground the strong objectivity of truth without sliding into metaphysical realism. I argue that the concept of ideal conditions to which Putnam appeals does not cohere with his (anti-realist) commitment to an assertability conditions account of meaning. (shrink)

This study investigated effects of codes of ethics on perceptions of ethical behavior. Respondents from companies with codes of ethics (n = 465) rated role set members (top management, supervisors, peers, subordinates, self) as more ethical and felt more encouraged and supported for ethical behavior than respondents from companies without codes (n = 301). Key aspects of the organizational climate, such as supportiveness for ethical behavior, freedom to act ethically, and satisfaction with the outcome of ethical problems were impacted by (...) the presence of an ethics code. The mere presence of a code of ethics appears to have a positive impact on perceptions of ethical behavior in organizations, even when respondents cannot recall specific content of the code. (shrink)

Crisis demands -- Crisis narratives -- Crisis: refrain!

This study investigated effects of codes of ethics on perceptions of ethical behavior. Respondents from companies with codes of ethics (n = 465) rated role set members (top management, supervisors, peers, subordinates, self) as more ethical and felt more encouraged and supported for ethical behavior than respondents from companies without codes (n = 301). Key aspects of the organizational climate, such as supportiveness for ethical behavior, freedom to act ethically, and satisfaction with the outcome of ethical problems were impacted by (...) the presence of an ethics code. The mere presence of a code of ethics appears to have a positive impact on perceptions of ethical behavior in organizations, even when respondents cannot recall specific content of the code. (shrink)

In 1978, as the protests against the Shah of Iran reached their zenith, philosopher Michel Foucault was working as a special correspondent for _Corriere della Sera_ and _le Nouvel Observateur_. During his little-known stint as a journalist, Foucault traveled to Iran, met with leaders like Ayatollah Khomeini, and wrote a series of articles on the revolution. _Foucault and the Iranian Revolution _is the first book-length analysis of these essays on Iran, the majority of which have never before appeared in English. (...) Accompanying the analysis are annotated translations of the Iran writings in their entirety and the at times blistering responses from such contemporaneous critics as Middle East scholar Maxime Rodinson as well as comments on the revolution by feminist philosopher Simone de Beauvoir. In this important and controversial account, Janet Afary and Kevin B. Anderson illuminate Foucault's support of the Islamist movement. They also show how Foucault's experiences in Iran contributed to a turning point in his thought, influencing his ideas on the Enlightenment, homosexuality, and his search for political spirituality. _Foucault and the Iranian Revolution_ informs current discussion on the divisions that have reemerged among Western intellectuals over the response to radical Islamism after September 11. Foucault's provocative writings are thus essential for understanding the history and the future of the West's relationship with Iran and, more generally, to political Islam. In their examination of these journalistic pieces, Afary and Anderson offer a surprising glimpse into the mind of a celebrated thinker. (shrink)

If business requires ethical solutions that are viable in the liminal landscape between concepts and corporate office, then business ethics and corporate social responsibility should offer tools that can survive the trek, that flourish in this well-traveled, but often unarticulated, environment. Indeed, feminist ethics produces, accesses, and engages such tools. However, work in BE and CSR consistently conflates feminist ethics and feminine ethics and care ethics. I offer clarification and invoke the analytic power of three feminist ethicists 'in action' whose (...) investigations into the "grey zones" of harms; identity and representational conventions; and "asymmetrical reciprocity" harmonize with business ethics' requirements. (shrink)

Self-injury is a perilous and increasingly common behavior that is particularly prevalent among youth. Nonetheless, there is a deep-rooted public stigma towards people who self-injure. Consequently, people who engage in self-injury are reluctant to seek professional help or disclose their experiences to others. This article aims to combat stigma and promote help-seeking behavior by debunking the common myths surrounding self-injury in the Malaysian context. Specifically, this article aims to serve as an eye-opener for Malaysian counselors and other mental health professionals (...) to improve their multicultural knowledge, skills, and attitudes when working with those who self-injure. (shrink)

Foreword by Robert H. Bork -- Culture wars -- A distorted understanding of rights -- The right to privacy -- Griswold and contraception -- Roe and abortion -- Assisted suicide and homosexuality -- Political connections and natural consequences.

This paper proposes communities of practice (CoP) as a process to build moral resilience in healthcare settings. We introduce the starting point of moral distress that arises from ethical challenges when actions of the healthcare professional are constrained. We examine how situations such as the current COVID-19 pandemic can exponentially increase moral distress in healthcare professionals. Then, we explore how moral resilience can help cope with moral distress. We propose the term collective moral resilience to capture the shared capacity arising (...) from mutual engagement and dialogue in group settings, towards responding to individual moral distress and towards building an ethical practice environment. Finally, we look at CoPs in healthcare and explore how these group experiences can be used to build collective moral resilience. (shrink)

The goal of this paper is to propose a relational turn in healthcare professionalism, to improve the responsiveness of both healthcare professionals and organizations towards care of patients, but also professionals. To this end, it is important to stress the way in which difficult situations and vulnerability faced by professionals can have an impact on their performance of work. This article pursue two objectives. First, I focus on understanding and making visible shared vulnerability that arises in clinical settings from a (...) triple perspective: patient and family, health professionals, and institutions. Second, to address this challenge for professionalism, in this paper I articulate the term "relational centered-patient professionalism", which has two main axes. The relational approach means taking into account how the relationships among professionals, patients and institutions determine the constitution and evolution of those professional values. The focus on patient centered care is indispensable, because it is the ultimate goal pursued by the development of these professional values, and must always be at the center. (shrink)

"This stunning work is without question a major contribution to Cartesian studies, to the field of early modern philosophy, and to general epistemology- ...

A feminist primer for philosophers of science -- The legacy of twentieth century philosophy of science -- What feminist science studies can offer -- Challenges from every direction -- The prospects of twenty-first century philosophy of science.

Recent research on the cognitive abilities and emotional capacities of animals has fueled the animal rights movement and renewed debate over the differences between human and non-human animals. This debate has not been central to sociology, although George Herbert Mead drew a very hard line between humans and animals by asserting that the latter were not capable of symbolic interaction. Sociologists are now beginning to question this assumption, and this article falls within this new line of research. We begin by (...) presenting alternative interpretations of symbolic interaction that allow for the possibility of such activity in non-human animals. We review recent research on symbolic interaction between humans and dogs, and we present our own research findings on human-feline interaction. We conclude that there is growing evidence that symbolic interaction is widely distributed throughout the animal kingdom, and that it enables animals to survive more effectively in a wide variety of environments. (shrink)

This study explores the value of traditional ethnographic methods in sociology for the study of human-animal and animal-animal interactions and culture. Itargues that some measure of human-animal intersubjectivity is possible and that the method of participant observation is best suited to achieve this. Applying ethnographic methods to human-cat and cat-cat relationships in a no-kill cat shelter, the study presents initial findings; it concludes that the social structure of the shelter is the product of interaction both between humans and cats and (...) cats and cats and that the observed structure represents, to a large degree, choices made by the cats. The study also concludes that, within the cat community of the shelter, a distinctive cat culture has emerged, which represents the cats' adaptation to the particular conditions of shelter life. Specifically, the shelter allows for the emergence of higher order needs and goals that stress affection, friendship, and social cohesion among the cats rather than territoriality and conflict. The study further argues that traditional animal researchers have mistaken the relative equality of cat colonies for a lack of social structure, as opposed to a different structure from that found in sharply ranked nonhuman animal communities. (shrink)

This volume continues the story of European political theorising by focusing on medieval and Renaissance thinkers. It includes extensive discussion of the practices that underpinned medieval political theories and which continued to play crucial roles in the eventual development of early-modern political institutions and debates. The author strikes a balance between trying to understand the philosophical cogency of medieval and Renaissance arguments on the one hand, elucidating why historically-suited medieval and Renaissance thinkers thought the ways they did about politics; and (...) why we often think otherwise. (shrink)

To analyze which ethically relevant biases have been identified by academic literature in artificial intelligence algorithms developed either for patient risk prediction and triage, or for contact tracing to deal with the COVID-19 pandemic. Additionally, to specifically investigate whether the role of social determinants of health have been considered in these AI developments or not. We conducted a scoping review of the literature, which covered publications from March 2020 to April 2021. ​Studies mentioning biases on AI algorithms developed for contact (...) tracing and medical triage or risk prediction regarding COVID-19 were included. From 1054 identified articles, 20 studies were finally included. We propose a typology of biases identified in the literature based on bias, limitations and other ethical issues in both areas of analysis. Results on health disparities and SDOH were classified into five categories: racial disparities, biased data, socio-economic disparities, unequal accessibility and workforce, and information communication. SDOH needs to be considered in the clinical context, where they still seem underestimated. Epidemiological conditions depend on geographic location, so the use of local data in studies to develop international solutions may increase some biases. Gender bias was not specifically addressed in the articles included. The main biases are related to data collection and management. Ethical problems related to privacy, consent, and lack of regulation have been identified in contact tracing while some bias-related health inequalities have been highlighted. There is a need for further research focusing on SDOH and these specific AI apps. (shrink)

Understanding science requires appreciating the values it presupposes and its social context. Both the values that scientists hold and their social context can affect scientific communication. Philosophers of science have recently begun studying scientific communication, especially as it relates to public policy. Some have proposed “guiding principles for communicating scientific findings” to promote trust and objectivity. This paper contributes to this line of research in a novel way using behavioural experimentation. We report results from three experiments testing judgments about the (...) trustworthiness, competence and objectivity of scientists. More specifically, we tested whether such judgments are affected by three factors: consulting or not consulting nonscientists, conducting research under a restrictive or non-restrictive governmental communication policy, and the source of a lab’s funding (i.e., government funding, private funding, or a combination of the two). We found that each of these factors affects ordinary judgments of trustworthiness, competence and objectivity. These findings support several recommendations that could help improve scientific communication and communication policies. (shrink)

Is it time to take a break from feminism? In this pathbreaking book, Janet Halley reassesses the place of feminism in the law and politics of sexuality. She argues that sexuality involves deeply contested and clashing realities and interests, and that feminism helps us understand only some of them. To see crucial dimensions of sexuality that feminism does not reveal--the interests of gays and lesbians to be sure, but also those of men, and of constituencies and values beyond the (...) realm of sex and gender--we might need to take a break from feminism. Halley also invites feminism to abandon its uncritical relationship to its own power. Feminists are, in many areas of social and political life, partners in governance. To govern responsibly, even on behalf of women, Halley urges, feminists should try taking a break from their own presuppositions. Halley offers a genealogy of various feminisms and of gay, queer, and trans theories as they split from each other in the United States during the 1980s and 1990s. All these incommensurate theories, she argues, enrich thinking on the left not despite their break from each other but because of it. She concludes by examining legal cases to show how taking a break from feminism can change your very perceptions of what's at stake in a decision and liberate you to decide it anew. (shrink)