Criteria of acceptability for mathematical proofs are field-dependent. In topology, though not in most other domains, it is sometimes acceptable to appeal to visual intuition to support inferential steps. In previous work :829–842, 2014; Lolli, Panza, Venturi From logic to practice, Springer, Berlin, 2015; Larvor Mathematical cultures, Springer, Berlin, 2016) my co-author and I aimed at spelling out how topological proofs work on their own terms, without appealing to formal proofs which might be associated with them. In this article, I (...) address two criticisms that have been raised in Tatton-Brown against our approach: that it leads to a form of relativism according to which validity is equated with social agreement and that it implies an antiformalizability thesis according to which it is not the case that all rigorous mathematical proofs can be formalized. I reject both criticisms and suggest that our previous case studies provide insight into the plausibility of two related but quite different theses. (shrink)

The aim of this article is to explain why knot diagrams are an effective notation in topology. Their cognitive features and epistemic roles will be assessed. First, it will be argued that different interpretations of a figure give rise to different diagrams and as a consequence various levels of representation for knots will be identified. Second, it will be shown that knot diagrams are dynamic by pointing at the moves which are commonly applied to them. For this reason, experts must (...) develop a specific form of enhanced manipulative imagination, in order to draw inferences from knot diagrams by performing epistemic actions. Moreover, it will be argued that knot diagrams not only can promote discovery, but also provide evidence. This case study is an experimentation ground to evaluate the role of space and action in making inferences by reasoning diagrammatically. (shrink)

Paying attention to the inner workings of mathematicians has led to a proliferation of new themes in the philosophy of mathematics. Several of these have to do with epistemology. Philosophers of mathematical practice, however, have not (yet) systematically engaged with general (analytic) epistemology. To be sure, there are some exceptions, but they are few and far between. In this chapter, I offer an explanation of why this might be the case and show how the situation could be remedied. I contend (...) that it is only by conceiving the knowing subject(s) as embodied, fallible, and embedded in a specific context (along the lines of what has been done within social and feminist epistemology) that we can pursue an epistemology of mathematics sensitive to actual mathematical practice. I further suggest that this reconception of the knowing subject(s) does not force us to abandon the traditional framework of epistemology in which knowledge requires justified true belief. It does, however, lead to a fallible conception of mathematical justification that, among other things, makes Gettier cases possible. This shows that topics considered to be far removed from the interests of philosophers of mathematical practice might reveal to be relevant to them. (shrink)

If there is an area of discourse in which disagreement is virtually absent, it is mathematics. After all, mathematicians justify their claims with deductive proofs: arguments that entail their conclusions. But is mathematics really exceptional in this respect? Looking at the history and practice of mathematics, we soon realize that it is not. First, deductive arguments must start somewhere. How should we choose the starting points (i.e., the axioms)? Second, mathematicians, like the rest of us, are fallible. Their ability to (...) recognize whether a putative proof is correct is not infallible. In most cases, disagreement over the correctness of a putative proof is, however, evanescent. Once an error is spotted and communicated, the disagreement disappears. But this is not always the case. Sometimes it is recalcitrant; that is, it persists over time. In order to zoom in on this type of disagreement and explain its very possibility, we focus on a single case study: a decades-long (1921-1949) controversy between Federigo Enriques and Francesco Severi, two prominent exponents of the Italian school of algebraic geometry. We suggest that the instability of the mathematical community to which they belonged can be explained by the gap between an abstract criterion of rigor and local criteria of acceptability. It is this instability that made the existence of recalcitrant disagreement over putative proofs possible. We do not condemn speculative mathematics but rather its pretense of being rigorous mathematics. In this respect, we show that the overly self-confident Severi and the more intuitive, visionary Enriques had a completely different attitude. (shrink)

Lara Buchak sets out a new account of rational decision-making in the face of risk. She argues that the orthodox view is too narrow, and suggests an alternative, more permissive theory: one that allows individuals to pay attention to the worst-case or best-case scenario, and vindicates the ordinary decision-maker.

The classification of algebraic surfaces by the Italian School of algebraic geometry is universally recognized as a breakthrough in 20th-century mathematics. The methods by which it was achieved do not, however, meet the modern standard of rigor and therefore appear dubious from a contemporary viewpoint. In this article, we offer a glimpse into the mathematical practice of the three leading exponents of the Italian School of algebraic geometry: Castelnuovo, Enriques, and Severi. We then bring into focus their distinctive conception of (...) rigor and intuition. Unlike what is often assumed today, from their perspective, rigor is neither opposed to intuition nor understood as a unitary phenomenon – Enriques distinguishes between small-scale rigor and large-scale rigor and Severi between formal rigor and substantial rigor. Finally, we turn to the notion of mathematical objectivity. We draw from our case study in order to advance a multi-dimensional analysis of objectivity. Specifically, we suggest that various types of rigor may be associated with different conceptions of objectivity: namely, objectivity as faithfulness to facts and objectivity as intersubjectivity. (shrink)

John P. Burgess is the John N. Woodhull Professor of Philosophy at Princeton University. He obtained his Ph.D. from the Logic and Methodology program at the University of California at Berkeley under the supervision of Jack H. Silver with a thesis on descriptive set theory. He is a very distinguished and influential philosopher of mathematics. He has written several books: A Subject with No Object (with G. Rosen, Oxford University Press, 1997), Computability and Logic (with G. Boolos and R. Jeffrey, (...) 5th ed., Cambridge University Press, 2007), Fixing Frege (Princeton University Press, 2005), Mathematics, Models, and Modality (Cambridge University Press, 2007), Philosophical Logic (Princeton University Press, 2009), Truth (with A. G. Burgess, Princeton University Press, 2011), Saul Kripke: Puzzles & Mysteries (Polity Press, 2012), Rigor & Structure (Oxford University Press, 2015), and Set Theory (Cambridge Elements, Forthcoming). In this interview, Professor Burgess talks about how his interests in mathematics and philosophy developed and relate to each other. He then answers questions about specific themes of his philosophical work, with a focus on issues pertaining to philosophy of mathematics. (shrink)

The classification of algebraic surfaces by the Italian School of algebraic geometry is universally recognized as a breakthrough in 20th century mathematics. The methods by which it was achieved do not, however, meet the modern standard of rigor and therefore appear dubious from a contemporary viewpoint. In this article, we offer a glimpse into the mathematical practice of the three leading exponents of the Italian School of algebraic geometry: Castelnuovo, Enriques, and Severi. We then bring into focus their distinctive conception (...) of rigor and intuition. Unlike what is often assumed today, from their perspective, rigor is neither opposed to intuition nor understood as a unitary phenomenon –Enriques distinguishes between _ small-scale rigor _ and _ large-scale rigor _ and Severi between _ formal rigor _ and _ substantial rigor _. Finally, we turn to the notion of mathematical objectivity. We draw from our case study in order to advance a multi-dimensional analysis of objectivity. Specifically, we s... (shrink)

According to a widely held view in the philosophy of mathematics, direct inferential justification for mathematical propositions (that are not axioms) requires proof. I challenge this view while accepting that mathematical justification requires arguments that are put forward as proofs. I argue that certain fallacious putative proofs considered by the relevant subjects to be correct can confer mathematical justification. But mathematical justification doesn’t come for cheap: not just any argument will do. I suggest that to successfully transmit justification an argument (...) must satisfy specific standards, some of which are social. I contrast my view with Huemer’s inferential conservatism, which makes mathematical justification too easy to get. Although in this article I focus on mathematical inferential beliefs, the view on offer generalizes to other inferential beliefs. (shrink)

Conceptions of evil have changed dramatically over time, and though humans continue to commit acts of cruelty against one another, today we possess a clearer, more moral way of analyzing them. In _Narrating Evil_, María Pía Lara explores what has changed in our understanding of evil, why the transformation matters, and how we can learn from this specific historical development. Drawing on Immanuel Kant's and Hannah Arendt's ideas about reflective judgment, Lara argues that narrative plays a key role (...) in helping societies acknowledge their pasts. Particular stories haunt our consciousness and lead to a kind of examination and dialogue that shape notions of morality. A powerful description of a crime can act as a filter, helping us to draw conclusions about what constitutes a moral wrong, and public debates over these narratives allow us to construct a more accurate picture of historical truth, leading to a better understanding of why such actions are possible. In building her argument, Lara considers Greek tragedies, Shakespeare's depictions of evil, Joseph Conrad's literary metaphors, and movies that portray human cruelty. Turning to such philosophers and writers as Jürgen Habermas, Walter Benjamin, Primo Levi, Giorgio Agamben, and Ariel Dorfman, Lara defines a reflexive relationship between an event, the narrative of the event, and the public reception of the narrative, and she proves that the stories of perpetrators and sufferers are always intertwined. The process of disclosure, debate, and the public fashioning of collective judgment are vital methods through which we make sense not only of new forms of cruelty but of past crimes as well. _Narrating Evil_ describes the steps of this process and why they are a crucial part of our attempt to build a different, more just world. (shrink)

I consider Kant’s use of claims about “nature’s ends” in his arguments to establish maxims of homosexual sex, masturbation, and bestiality as constituting “unnatural” sexual vices, which are contrary to one’s duties to oneself as an animal and moral being. I argue, first, that the formula of humanity is the principle best suited for understanding duties to oneself as an animal and moral being; and second, that although natural teleology is relevant to some degree in specifying these duties, it cannot (...) play a sufficiently robust role to establish Kant’s conclusion. I also discuss what the formula of humanity (along with warranted attention to natural teleology) suggests about the morality of homosexual sex, masturbation, and bestiality. (shrink)

Computational tools might tempt us to renounce complete cer- tainty. By forgoing of rigorous proof, we could get (very) probable results for a fraction of the cost. But is it really true that proofs (as we know and love them) can lead us to certainty? Maybe not. Proofs do not wear their correct- ness on their sleeve, and we are not infallible in checking them. This suggests that we need help to check our results. When our fellow mathematicians will be (...) too tired or too busy to scrutinize our putative proofs, computer proof assistants could help. But feeding a mathematical argument to a computer is hard. Still, we might be willing to undertake the endeavor in view of the extra perks that formalization may bring—chiefly among them, an enhanced mathematical understanding. (shrink)

In this book, Lara Ostaric argues that Kant’s seminal Critique of Judgment is properly understood as completing his Critical system. The two seemingly disparate halves of the text are unified under this larger project insofar as both aesthetic and teleological judgment indirectly exhibit the final end of reason, the Ideas of the highest good and the postulates, as if obtaining in nature. She relates Kant’s discussion of aesthetic and teleological judgment to important yet under-explored concepts in his philosophy, and (...) helps the reader to recognize the relevance of his aesthetics and teleology for our understanding of fine arts and genius, the possibility of pure judgments of ugliness, Kant’s philosophy of history, his philosophy of religion, and his conception of autonomy. Ostaric’s novel and thoroughly integrative presentation of Kant’s system will be of interest not only to Kant scholars but also to those working in religious studies, art history, political theory, and intellectual history. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Research Ethics after World War II: The Insular Culture of BiomedicineAllan M. Brandt (bio) and Lara Freidenfelds (bio)Human subjects research in the United States has only recently emerged as an important area of historical investigation. Over the last quarter century, scholars have begun the process of grounding within an historical context both the complex relationship between researchers and subjects and the processes by which biomedical knowledge is produced. (...) Their studies examine topics ranging from the impact of the anti-vivisectionist movement on human experimentation in the early twentieth century (Lederer 1995) to the development of the discipline of bioethics in the 1960s and 1970s (Rothman 1991) and the emergence of the legal concept of informed consent for human research (Katz, Glass, and Capron 1972). Many of the discussions focus on isolated incidents of scandal, such as the Tuskegee Syphilis Study (Jones 1993; Brandt 1978) and the Willowbrook School hepatitis study (Rothman and Rothman 1984). In doing so, they attempt to explain how such clearly unethical research could have been initiated and what consequences have resulted from public knowledge of such research.Nonetheless, the broader historical contexts and implications of human subjects research have yet to be fully delineated. This project will be of crucial importance, not only for historians, but also for those concerned with research policy and medical ethics. The historical examination of human subjects research will provide further insight into the details of research methods, the construction of protocols, and the historically specific interest in certain diseases. In addition, scholars will better understand the relationships of power and authority between researcher and subject, as well as the social and scientific mechanisms for the production of new biomedical knowledge. The process of enlisting research subjects illuminates the significance of class, gender, ethnicity, and race in science, in biomedicine, and in society. The fact that, historically, much research has employed research subjects from vulnerable populations, who participated in coercive contexts, has exposed powerful social assumptions embedded in the research enterprise. [End Page 239]The revelation of new documents indicating past abuses has sparked much of the investigation into human subjects research and the recent investigation of human radiation experiments during the Cold War era. One of the most important achievements of the Advisory Committee on Human Radiation Experiments was the uncovering of thousands of documents, a remarkable mine of archival data, that had been previously inaccessible to researchers. Jonathan Moreno and Susan Lederer’s article on the history of Cold War research ethics in this issue of the Kennedy Institute ofEthics Journal represents the first attempt since the publication of the Committee’s Final Report to analyze the Committee’s findings in a serious historical context.Historical accounts of the emergence of bioethics traditionally have left a great void in their discussions of human experimentation, generally ignoring the period between the writing of the Nuremberg Code in 1947 and the publication of Henry Beecher’s 1966 New England Journal ofMedicine article condemning systematic, unethical practices in human experimentation (Rothman 1991). The period from 1946 to 1966, however, was a time of vigorous research characterized by a fragmented community of medical researchers who applied inconsistent ethical standards and employed highly variable research practices. Both military and civilian medical researchers were intensely interested in radiation and thus conducted human subjects research along those lines, including examinations of the effects of plutonium injections and of total body irradiation, the use of trace radioisotopes to study various body processes, and observations of the effects of radiation intentionally released into the environment. The U.S. Government sponsored several thousand such studies (ACHRE 1995 [GPO, pp. 227–31; Oxford, pp. 135–38]), some of which were conducted on hospital patients, institutionalized children, military personnel, and prisoners. The Cold War scientific culture that produced this research must be examined from an historical ethical perspective.A central aspect of the culture of biomedical science after World War II was its insularity. Increasingly high standards of admission and challenging training had come to ensure that only a select group of individuals was admitted to the professions of medicine and research science. In this culture of experts, trustworthiness and ethical judgment were considered to be dependent upon expertise... (shrink)

The purpose of this article is to elaborate on the concept of prefiguration by outlining the necessity of its contribution to a progressive public philosophy for the 2020s. In the introduction, I explain how the object of critique for many social theorists has shifted over the course of the last decade from neoliberal globalization to capitalism understood as an encompassing form of life. In light of this, I enumerate the features that should define a progressive public philosophy: radical, emancipatory, and (...) decolonized. The introduction is followed by an overview of the academic debates emerging after the North Atlantic financial crisis of 2007–8. Among these, accelerationism fundamentally rejects the incorporation of prefigurative politics in any emancipatory political agenda. To better understand this position, I examine the origin and meaning of prefiguration and prefigurative practices in more detail in Section III. In it, I argue that prefigurative politics entails a holistic approach to social change that digs its roots in feminist and ecological thought and focuses on social reproduction and the preservation of life rather than solely economic production. Subsequently, I deploy the case of Occupy Wall Street to show that a growing number of contemporary social movements are implementing a dualistic strategy that simultaneously combines repertoires of action typical of protest movements with prefigurative practices focused on the embodiment of alternatives. This dualism, along with the limited success of Occupy Wall Street in concretizing its claims and goals, has led prefigurative politics to being labelled as incompatible with, if not even hindering, any emancipatory strategy. My argument instead is that prefigurative politics constitutes a fundamental and necessary component of any political strategy aimed at transcending contemporary capitalism since it conceives progressive social change in an ontologically and epistemologically different way with respect to political parties and protest movements. Taking this into consideration, I conclude that conventional politics and prefigurative politics can be seen as having the potential to mutually reinforce each other and that prefigurative politics should be acknowledged as a pivotal concept in establishing a progressive public philosophy for the 2020s. Only by doing so, will this philosophy be truly radical, emancipatory, and decolonial. (shrink)

According to the received view, genuine mathematical justification derives from proofs. In this article, I challenge this view. First, I sketch a notion of proof that cannot be reduced to deduction from the axioms but rather is tailored to human agents. Secondly, I identify a tension between the received view and mathematical practice. In some cases, cognitively diligent, well-functioning mathematicians go wrong. In these cases, it is plausible to think that proof sets the bar for justification too high. I then (...) propose a fallibilist account of mathematical justification. I show that the main function of mathematical justification is to guarantee that the mathematical community can correct the errors that inevitably arise from our fallible practices. (shrink)

A basic contradiction in education is that while education and guidance from people with more knowledge is necessary for the development of higher psychological functioning, the constraints imposed on student activity often become a hindrance to development. This contradiction is revealed in how youth participate in video production programs and becomes analyzable because video production brings the conflict to the surface. During video production, students often act with greater agency than they do in other school activities. This shift evokes the (...) agency|structure dialectic as the root of tensions surrounding authority, collaboration, and youth cultures. Based on data from five programs, a comparison of different cases demonstrates how schools damage motivation and initiative, neglect to connect with students and their worlds, and teach passivity while emphasizing an individualistic conception of human activity. New understandings of agency and its connections to the individual|social dialectic are urged. Based on a Vygotskian concept of development as overcoming contradictions, the relationships youth have within school are viewed as an essential part of development, requiring a theoretical shift from individualistic ideas of agency and a clearer connection between youth problems and societal contradictions. (shrink)

It is sometimes said that faith is recalcitrant in the face of new evidence, but it is puzzling how such recalcitrance could be rational or laudable. I explain this aspect of faith and why faith is not only rational, but in addition serves an important purpose in human life. Because faith requires maintaining a commitment to act on the claim one has faith in, even in the face of counter-evidence, faith allows us to carry out long-term, risky projects that we (...) might otherwise abandon. Thus, faith allows us to maintain integrity over time. (shrink)

There are currently two robust traditions in philosophy dealing with doxastic attitudes: the tradition that is concerned primarily with all-or-nothing belief, and the tradition that is concerned primarily with degree of belief or credence. This paper concerns the relationship between belief and credence for a rational agent, and is directed at those who may have hoped that the notion of belief can either be reduced to credence or eliminated altogether when characterizing the norms governing ideally rational agents. It presents a (...) puzzle which lends support to two theses. First, that there is no formal reduction of a rational agent’s beliefs to her credences, because belief and credence are each responsive to different features of a body of evidence. Second, that if our traditional understanding of our practices of holding each other responsible is correct, then belief has a distinctive role to play, even for ideally rational agents, that cannot be played by credence. The question of which avenues remain for the credence-only theorist is considered. (shrink)

Although traditionally neglected, mathematical diagrams have recently begun to attract attention from philosophers of mathematics. By now, the literature includes several case studies investigating the role of diagrams both in discovery and justification. Certain preliminary questions have, however, been mostly bypassed. What are diagrams exactly? Are there different types of diagrams? In the scholarly literature, the term “mathematical diagram” is used in diverse ways. I propose a working definition that carves out the phenomena that are of most importance for a (...) taxonomy of diagrams in the context of a practice-based philosophy of mathematics, privileging examples from contemporary mathematics. In doing so, I move away from vague, ordinary notions. I define mathematical diagrams as forming notational systems and as being geometric/topological representations or two-dimensional representations. I also examine the relationship between mathematical diagrams and spatiotemporal intuition. By proposing an explication of diagrams, I explain certain controversies in the existing literature. Moreover, I shed light on why mathematical diagrams are so effective in certain instances, and, at other times, dangerously misleading. (shrink)

The aim of this article is to investigate the roles of commutative diagrams (CDs) in a specific mathematical domain, and to unveil the reasons underlying their effectiveness as a mathematical notation; this will be done through a case study. It will be shown that CDs do not depict spatial relations, but represent mathematical structures. CDs will be interpreted as a hybrid notation that goes beyond the traditional bipartition of mathematical representations into diagrammatic and linguistic. It will be argued that one (...) of the reasons why CDs form a good notation is that they are highly mathematically tractable: experts can obtain valid results by ‘calculating’ with CDs. These calculations, take the form of ‘diagram chases’. In order to draw inferences, experts move algebraic elements around the diagrams. It will be argued that these diagrams are dynamic. It is thanks to their dynamicity that CDs can externalize the relevant reasoning and allow experts to draw conclusions directly by manipulating them. Lastly, it will be shown that CDs play essential roles in the context of proof as well as in other phases of the mathematical enterprise, such as discovery and conjecture formation. (shrink)

Advancements in technology are shifting the ways that biomedical data are collected, managed, and used. The pervasiveness of connected devices is expanding the types of information that are defined as ‘health data.’ Additionally, cloud-based mechanisms for data collection and distribution are shifting biomedical research away from traditional infrastructure towards a more distributed and interconnected ecosystem. This shift provides an opportunity for us to reimagine the roles of scientists and participants in health research, with the potential to more meaningfully engage in (...) partnership across the research process. At the same time, these emerging practices present a potential to expose research participants to unanticipated and unintended consequences. Social norms and policy can help to mitigate these risks, but their development is often slow relative to the pace of technological advances and, as such, they can become reactive rather than prospective. As an alternative, the integrated development of data governance structures within technological advancements, supports their effective implementation, evaluation and evolution in a manner that can balance the benefits and risks of biomedical researcher in a decentralized ecosystem. (shrink)

Mathematical diagrams are frequently used in contemporary mathematics. They are, however, widely seen as not contributing to the justificatory force of proofs: they are considered to be either mere illustrations or shorthand for non-diagrammatic expressions. Moreover, when they are used inferentially, they are seen as threatening the reliability of proofs. In this paper, I examine certain examples of diagrams that resist this type of dismissive characterization. By presenting two diagrammatic proofs, one from topology and one from algebra, I show that (...) diagrams form genuine notational systems, and I argue that this explains why they can play a role in the inferential structure of proofs without undermining their reliability. I then consider whether diagrams can be essential to the proofs in which they appear. (shrink)

Kant’s _Groundwork for the Metaphysics of Morals_, first published in 1785, is still one of the most widely read and influential works of moral philosophy. This Broadview edition combines a newly revised version of T.K. Abbott’s respected translation with material crucial for placing the _Groundwork_ in the context of Kant’s broader moral thought. A varied selection of other ethical writings by Kant on subjects including our moral duties, fundamental principles of justice, the concept of happiness, and the relation of morality (...) to religion are included, along with important criticisms of Kant’s ethics by Fichte, Schiller, Hegel, and Sidgwick. (shrink)

Review of John Haldane's "Reasonable Faith".

This paper provides an account of what it is to have faith in a proposition p, in both religious and mundane contexts. It is argued that faith in p doesn’t require adopting a degree of belief that isn’t supported by one’s evidence but rather it requires terminating one’s search for further evidence and acting on the supposition that p. It is then shown, by responding to a formal result due to I.J. Good, that doing so can be rational in a (...) number of circumstances. If expected utility theory is the correct account of practical rationality, then having faith can be both epistemically and practically rational if the costs associated with gathering further evidence or postponing the decision are high. If a more permissive framework is adopted, then having faith can be rational even when there are no costs associated with gathering further evidence. (shrink)

The aim of this article is to investigate specific aspects connected with visualization in the practice of a mathematical subfield: low-dimensional topology. Through a case study, it will be established that visualization can play an epistemic role. The background assumption is that the consideration of the actual practice of mathematics is relevant to address epistemological issues. It will be shown that in low-dimensional topology, justifications can be based on sequences of pictures. Three theses will be defended. First, the representations used (...) in the practice are an integral part of the mathematical reasoning. As a matter of fact, they convey in a material form the relevant transitions and thus allow experts to draw inferential connections. Second, in low-dimensional topology experts exploit a particular type of manipulative imagination which is connected to intuition of two- and three-dimensional space and motor agency. This imagination allows recognizing the transformations which connect different pictures in an argument. Third, the epistemic—and inferential—actions performed are permissible only within a specific practice: this form of reasoning is subject-matter dependent. Local criteria of validity are established to assure the soundness of representationally heterogeneous arguments in low-dimensional topology. (shrink)

Rigorous proof is supposed to guarantee that the premises invoked imply the conclusion reached, and the problem of rigor may be described as that of bringing together the perspectives of formal logic and mathematical practice on how this is to be achieved. This problem has recently raised a lot of discussion among philosophers of mathematics. We survey some possible solutions and argue that failure to understand its terms properly has led to misunderstandings in the literature.

Kant’s ethics conceives of rational beings as autonomous–capable of legislating the moral law, and of motivating themselves to act out of respect for that law. Kant’s ethics also includes a notion of the highest good, the union of virtue with happiness proportional to, and consequent on, virtue. According to Kant, morality sets forth the highest good as an object of the totality of all things good as ends. Much about Kant’s conception of the highest good is controversial. This paper focuses (...) on the apparent conflict between Kant’s claim that we are autonomous, and passages in which he seems to suggest that we require belief in the possibility of the highest good to motivate moral action. I distinguish three distinct versions of these problematic claims that seem to be present in Kant’s texts: that the highest good serves as (1) a motivational supplement to respect for the moral law, (2) a fundamental spring of right action, and (3) a condition of the bindingness of moral requirements. I argue that the texts are better interpreted to yield alternatives to (2) and (3) that do not conflict with our autonomy. I also argue that, properly understood, (1) does not conflict with our autonomy. In arguing for the last claim, I explore Kant’s notion of radical evil and its implications for human agency and virtue. (shrink)

The distinction between propositional and doxastic justification is well-known among epistemologists. Propositional justification is often conceived as fundamental and characterized in an entirely apsychological way. In this chapter, I focus on beliefs based on deductive arguments. I argue that such an apsychological notion of propositional justification can hardly be reconciled with the idea that justification is a central component of knowledge. In order to propose an alternative notion, I start with the analysis of doxastic justification. I then offer a notion (...) of propositional justification, intersubjective propositional justification, that is neither entirely apsychological nor idiosyncratic. To do so, I argue that to be able to attribute propositional justification to a subject, we have to consider her social context as well as broad features of our human cognitive architecture. (shrink)

The moral enhancement of human beings is a constant theme in the history of humanity. Today, faced with the threats of a new, globalised world, concern over this matter is more pressing. For this reason, the use of biotechnology to make human beings more moral has been considered. However, this approach is dangerous and very controversial. The purpose of this article is to argue that the use of another new technology, AI, would be preferable to achieve this goal. Whilst several (...) proposals have been made on how to use AI for moral enhancement, we present an alternative that we argue to be superior to other proposals that have been developed. (shrink)

Can Artificial Intelligence be more effective than human instruction for the moral enhancement of people? The author argues that it only would be if the use of this technology were aimed at increasing the individual's capacity to reflectively decide for themselves, rather than at directly influencing behaviour. To support this, it is shown how a disregard for personal autonomy, in particular, invalidates the main proposals for applying new technologies, both biomedical and AI-based, to moral enhancement. As an alternative to these (...) proposals, this article proposes a virtual assistant that, through dialogue, neutrality and virtual reality technologies, can teach users to make better moral decisions on their own. The author concludes that, as long as certain precautions are taken in its design, such an assistant could do this better than a human instructor adopting the same educational methodology. (shrink)

ZusammenfassungUm Fachkompetenz zu stärken und Verantwortung an Entscheidungskompetenz zu koppeln, haben einige Sportverbände mittlerweile bezahlte Führungskräfte als Vorstand nach § 26 BGB installiert, während ein ehrenamtliches Präsidium im Sinne eines Aufsichtsrats fungiert. Der vorliegende Beitrag zielt darauf ab, das Verständnis für den mit einer solchen Änderung hinsichtlich Vorstand und Vertretung verbundenen organisationalen Wandel zu schärfen und daraus folgende Effekte auf die Verbandsarbeit zu beleuchten. Am Beispiel der DHB-Strukturreform „Perspektive 2020+“ eröffnet die Analyse – basierend auf Dokumentenanalysen und problemzentrierten Interviews – (...) differenzierte Einblicke in organisationalen Wandel von Sportverbänden und Schlussfolgerungen für die praktische Verbandsarbeit. (shrink)

This article explores the possibility of an ethical intersubjective relationship through the reconfiguration of the body. The violence of Western culture derives from a particular gendered fantasy of bodily organization. The Western body is constituted through a fear of lack and of loss, or, in psychoanalytic terms, of castration. The subject defined by castration attempts to defend itself against these dual threats by folding in upon itself, thereby precluding any relation with an other. The belief in lack and its partner, (...) scarcity, informs the socio-political structures that mark the current era. However, there are other ways of imagining the body. By re-imagining the body, it becomes possible, not to avoid loss, but rather to alter its meaning. This act allows for a nonappropriative intersubjective relation to come into being. (shrink)

The objective of this article is twofold. First, a methodological issue is addressed. It is pointed out that even if philosophers of mathematics have been recently more and more concerned with the practice of mathematics, there is still a need for a sharp definition of what the targets of a philosophy of mathematical practice should be. Three possible objects of inquiry are put forward: (1) the collective dimension of the practice of mathematics; (2) the cognitives capacities requested to the practitioners; (...) and (3) the specific forms of representation and notation shared and selected by the practitioners. Moreover, it is claimed that a broadening of the notion of ‘permissible action’ as introduced by Larvor (2012) with respect to mathematical arguments, allows for a consideration of all these three elements simultaneously. Second, a case from topology – the proof of Alexander’s theorem – is presented to illustrate a concrete analysis of a mathematical practice and to exemplify the proposed method. It is discussed that the attention to the three elements of the practice identified above brings to the emergence of philosophically relevant features in the practice of topology: the need for a revision in the definition of criteria of validity, the interest in tracking the operations that are performed on the notation, and the constant and fruitful back-and-forth from one representation to another in dealing with mathematical content. Finally, some suggestions for further research are given in the conclusions. (shrink)

Raising awareness of the environmental impact of energy generation and consumption has been a recent concern of contemporary society worldwide. Underlying the awareness of energy consumption is an intricate network of perception and social interaction that can be mediated by technology. In this paper we argue that issues regarding energy, environment and technology are very much situated and involve tensions of sociocultural nature. This exploratory investigation addresses the subject by introducing the design of a Socially-inspired Energy Eco-Feedback Technology, which is (...) composed of an interactive system to trigger and mediate collective savings and a tangible device as a public feedback. Results of an evaluation situated in the context of a school in a socially disadvantaged area in Brazil are discussed, shedding light on the sociocultural aspects related to the subject. The role of the SEET to motivate energy awareness collectively among the social group is assessed, as well as the design characteristics that contributed to that. Outcomes bring to light social aspects and dynamics that would hardly have been predicted, evidencing critical factors related to a socially inspired design approach in the energy awareness domain. (shrink)

In this article I deal with Kant's concept of reflective judgment, and recover it through its links to the aesthetic dimension as its fundamental scenario. Then I go on to explain why Hannah Arendt understood this important Kantian connection, and why she thought it would allow her to develop it through a political dimension. Last, having reviewed both Kant and Arendt's contributions to the concept of reflective judgment, I recover my own input to the concept by showing its linguistic dimension (...) based on the Heideggerian notion of world-disclosure. With this in mind, I show how the concept of reflective judgment is the most suitable to analyze evil actions. (shrink)

Immanuel Kant's Metaphysics of Morals, containing the Doctrine of Right and Doctrine of Virtue, is his final major work of practical philosophy. Its focus is not rational beings in general but human beings in particular, and it presupposes and deepens Kant's earlier accounts of morality, freedom and moral psychology. In this volume of newly-commissioned essays, a distinguished team of contributors explores the Metaphysics of Morals in relation to Kant's earlier works, as well as examining themes which emerge from the text (...) itself. Topics include the relation between right and virtue, property, punishment, and moral feeling. Their diversity of questions, perspectives and approaches will provide new insights into the work for scholars in Kant's moral and political theory. (shrink)

The ‘rollback argument,’ pioneered by Peter van Inwagen, purports to show that indeterminism in any form is incompatible with free will. The argument has two major premises: the first claims that certain facts about chances obtain in a certain kind of hypothetical situation, and the second that these facts entail that some actual act is not free. Since the publication of the rollback argument, the second claim has been vehemently debated, but everyone seems to have taken the first claim for (...) granted. Nevertheless, the first claim is totally unjustified. Even if we accept the second claim, therefore, the argument gives us no reason to think that free will and indeterminism are incompatible. Furthermore, seeing where the rollback argument goes wrong illuminates how a certain kind of incompatibilist, the ‘chance-incompatibilist,’ ought to think about free will and chance, and points to a possibility for free will that has remained largely unexplored. (shrink)