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)

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)

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)

Propositional dynamic logic is complete but not compact. As a consequence, strong completeness requires an infinitary proof system. In this paper, we present a short proof for strong completeness of $$\mathsf{PDL}$$ relative to an infinitary proof system containing the rule from [α; β n ]φ for all $$n \in {\mathbb{N}}$$, conclude $$[\alpha;\beta^*] \varphi$$. The proof uses a universal canonical model, and it is generalized to other modal logics with infinitary proof rules, such as epistemic knowledge with common knowledge. Also, we (...) show that the universal canonical model of $$\mathsf{PDL}$$ lacks the property of modal harmony, the analogue of the Truth lemma for modal operators. (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)

People more frequently select norm-violating factors, relative to norm- conforming ones, as the cause of some outcome. Until recently, this abnormal-selection effect has been studied using retrospective vignette-based paradigms. We use a novel set of video stimuli to investigate this effect for prospective causal judgments—i.e., judgments about the cause of some future outcome. Four experiments show that people more frequently select norm- violating factors, relative to norm-conforming ones, as the cause of some future outcome. We show that the abnormal-selection effects (...) are not primarily explained by the perception of agency (Experiment 4). We discuss these results in relation to recent efforts to model causal judgment. (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)

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)

Este artigo busca adentrar pelas questões relacionadas à biopolítica do corpo, sobretudo, daquelas ligadas à estatização do biológico e do racismo do Estado, que aparecem nos trabalhos de Michel Foucault e que aqui evocamos para analisar o corpo enquanto objeto discursivo analisável dessa biopolítica em duas produções francesas de horror, - Frontière(s) e em À l’interieur – que exibem imagens dos tumultos de Outubro de 2005, acontecimento marcado pelos protestos contra a política de perseguição aos sans-papiers que vitimou três jovens (...) de origem africana. É a partir daí que retomaremos a discussão do “quem somos nós”, em Foucault, para refletir sobre o sujeito, a menoridade e a liberdade na estatização do corpo, um lugar da memória nacional. (shrink)

This paper investigates agents’ blameworthiness when they are part of a group that does harm. We analyse three factors that affect the scope of an agent’s blameworthiness in these cases: shared intentionality, interpersonal influence, and common knowledge. Each factor involves circumstantial luck. The more each factor is present, the greater is the scope of each agent’s vicarious blameworthiness for the other agents’ contributions to the harm. We then consider an agent’s degree of blameworthiness, as distinct from her scope of blameworthiness. (...) We suggest that an agent mostly controls her degree of blameworthiness—but even here, luck constrains what possible degrees of blameworthiness are open to her. (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.

Este ensaio celebra as cinco décadas da publicação do livro A ordem do discurso de Michel Foucault, realizando uma reflexão acerca de sua repercussão entre as ciências sociais e sobre seus usos, principalmente, no campo da linguagem na parte relacionada à análise do discurso de linha francesa. Portanto, trata-se de uma retrospectiva crítica cuja análise começa com a entrevista que Foucault concedeu algumas semanas antes de proferir esta aula aos brasileiros Sergio Paulo Rouanet e José Guilherme Merquior. Em seguida, o (...) presente trabalho faz uma breve história da entrada de Foucault ao Collège de France e, por fim, lida com a microfísica do discurso que se encontra nesta aula, sobretudo, da rarefação do sujeito, além dos seus usos nas ciências humanas e sociais mais o campo da linguagem em torno da pragmática e das análises de discurso. (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)

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)

I provide a case-by-case definition of essential truths based on the notions of metaphysical necessity and ontological dependence. Relying on suggestions in the literature, I adopt a definition of the latter notion in terms of the notion of ground. The resulting account is adequate in the sense that it is not subject to Kit Fine’s famous counterexamples to the purely modal account of essence. In addition, it provides us with a novel conception of truths pertaining to the essence of objects, (...) which might help to dispel doubts on the legitimacy of the notion of essence itself. (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)

One thing about technical artefacts that needs to be explained is how their physical make-up, or structure, enables them to fulfil the behaviour associated with their function, or, more colloquially, how they work. In this paper I develop an account of such explanations based on the familiar notion of mechanistic explanation. To accomplish this, I outline two explanatory strategies that provide two different types of insight into an artefact’s functioning, and show how human action inevitably plays a role in artefact (...) explanation. I then use my own account to criticize other recent work on mechanistic explanation and conclude with some general implications for the philosophy of explanation.Keywords: Artefact; Technical function; Explanation; Levels of explanation; Mechanisms. (shrink)

The present article is a primary introduction to the semi-structured interviewing method SMILE_PH, an acronym for Sense-Making Interviews Looking at Elements of Philosophical Health. Beyond grounding this new methodology theoretically (a work that is started here but will in the future necessitate several developments), the main motivation here is pragmatic: to provide the recent philosophical health movement with a testable method and show that philosophically-oriented interviews are possible in a manner that can be reproduced, compared, tested and used systematically with (...) a population that has received no training in philosophy. The SMILE_PH approach was conceived by the author during an ethically approved pilot study focused on the philosophy of life of persons living with spinal cord injury (SCI), with the intention of rectifying the epistemic obstacles generated by rationalist, Socratic or unstructured ways of in-depth interviewing. The six-step structure of the method is also inspired by hundreds of individual dialogue sessions with philosophical counselees, led by the author between 2018 and 2022: the SMILE_PH method progressively gathers phenomenological data about 1 – our bodily sense, 2 – our sense of self, 3 – our sense of belonging, 4 – our sense of the possible, 5 – our sense of purpose and 6 – our philosophical sense. (shrink)

We propose to understand social affordances in the broader context of responsiveness to a field of relevant affordances in general. This perspective clarifies our everyday ability to unreflectively switch between social and other affordances. Moreover, based on our experience with Deep Brain Stimulation for treating obsessive-compulsive disorder (OCD) patients, we suggest that psychiatric disorders may affect skilled intentionality, including responsiveness to social affordances.

There are calls from various sectors, including the popular press, industry, and academia, to incorporate artificial intelligence (AI)-based technologies in general, and large language models (LLMs) (such as ChatGPT and Gemini) in particular, into various spheres of the South African higher education sector. Nonetheless, the implementation of such technologies is not without ethical risks, notably those related to bias, unfairness, privacy violations, misinformation, lack of transparency, and threats to autonomy. This paper gives an overview of the more pertinent ethical concerns (...) that may result from the deployment of various current AI technologies in the South African higher education context. It provides a broad overview of the relevant AI ethics literature and distills a few general AI-ethics principles that can serve as guidelines for the ethical development, adoption, and use of AI systems. Suggestions are made as to how these might be applied to mitigate the ethical concerns in the South African higher education context. Overall, it is argued that AI technologies should only be adopted if they offer demonstrable benefits to stakeholders affected by them and that care should be taken to ensure that any potential harms are adequately addressed. (shrink)

The knower paradox states that the statement ‘We know that this statement is false’ leads to inconsistency. This article presents a fresh look at this paradox and some well-known solutions from the literature. Paul Égré discusses three possible solutions that modal provability logic provides for the paradox by surveying and comparing three different provability interpretations of modality, originally described by Skyrms, Anderson, and Solovay. In this article, some background is explained to clarify Égré’s solutions, all three of which hinge on (...) intricacies of provability logic and its arithmetical interpretations. To check whether Égré’s solutions are satisfactory, we use the criteria for solutions to paradoxes defined by Susan Haack and we propose some refinements of them. This article aims to describe to what extent the knower paradox can be solved using provability logic and to what extent the solutions proposed in the literature satisfy Haack’s criteria. Finally, the article offers some reflections on the relation between knowledge, proof, and provability, as inspired by the knower paradox and its solutions. (shrink)

This paper takes a cognitive perspective to assess the significance of some Late Palaeolithic artefacts (sculptures and engraved objects) for philosophicalconcepts of art. We examine cognitive capacities that are necessary to produceand recognize objects that are denoted as art. These include the ability toattribute and infer design (design stance), the ability to distinguish between themateriality of an object and its meaning (symbol-mindedness), and an aesthetic sensitivity to some perceptual stimuli. We investigate to what extent thesecognitive processes played a role in (...) the production and appreciation of somerecently discovered Palaeolithic artefacts. (shrink)

It is widely held that there is a distinctive norm of assertion. A plausible idea is that there is an analogous, perhaps weaker, norm for indirect communication via implicatures. I argue against this type of proposal. My claim is that the norm of assertion is a social norm governing public updates to the conversational record. Off the record implicatures are not subject to social norms of this type. I grant that, as happens in general with intentional actions, off the record (...) communicative acts may be subject to normative assessments on different levels (for instance, regarding their moral or prudential appropriateness). However, such assessments do not generate distinctive norms that apply to all cases of implicature. (shrink)

As neuroscience progresses, we will not only gain a better understanding of how our brains work, but also a better understanding of how to modify them, and as a result, our mental states. An important question we are faced with is whether the state could be justified in implementing such methods on criminal offenders, without their consent, for the purposes of rehabilitation and reduction of recidivism; a practice that is already legal in some jurisdictions. By focusing on a prominent type (...) of view of free action, which I call bypassing views, this paper evaluates how such interventions may negatively impact the freedom of their subjects. The paper concludes that there will be a tension between the goals of rehabilitation and reduction of recidivism, on the one hand, and the negative impact such interventions may have on free action, on the other. Other things equal, the better that a particular intervention is at achieving the former, the more likely it is to result in the latter. (shrink)

According to Michael Zimmerman, no interpretation of the idea that moral responsibility is essentially interpersonal captures a significant truth. He raises several worries about the Strawsonian view that moral responsibility consists in susceptibility to the reactive attitudes and claims that this view at best supports only an etiolated interpretation of the idea that moral responsibility is essentially interpersonal. He outlines three problems. First, the existence of self-reactive attitudes may be incompatible with the interpersonal nature of moral responsibility. Secondly, Zimmerman questions (...) the significance of the interpersonal nature of moral responsibility, according to the Strawsonian view. Thirdly, he argues that that view may be taken to suggest the wrong kind of priority relation between ‘P is morally responsible’ and ‘it is appropriate to adopt some reactive attitude toward P’. I discuss each of these problems in turn and conclude that Strawsonians can respond to all three problems raised by Zimmerman. The Strawsonian view supports a significant interpretation of the idea that moral responsibility is essentially interpersonal. (shrink)

An intuitive objection to modal realism is that merely possible worlds and their inhabitants seem to be irrelevant to an analysis of modality. Kripke originally phrased the objection in terms of being concerned about one’s modal properties without being concerned about the properties one’s other-worldly counterparts have. The author assesses this objection in a variety of forms, and then provides his own formulation that does not beg the question against the modal realist. Finally, the author considers two potential answers to (...) the objection so understood and concludes that only one of them has a chance of succeeding. (shrink)

O presente trabalho busca refletir, no sentido derridiano, sobre o ensino do Português Língua Estrangeira (PLE) à luz do Quadro Europeu Comum de Referência para a aprendizagem, ensino e avaliação de línguas (QECR). Tal documento, juntamente com o Portfólio Europeu das Línguas, se apresenta como um instrumento essencialmente linguístico para a harmonização do ensino de línguas vivas europeias e com uma perspectiva intercultural. Dessa forma, o QECR advoga que o ensino de língua deve promover o desenvolvimento do aprendiz, da sua (...) identidade em resposta à experiência enriquecedora da diferença na língua e na cultura. Exige-se do aluno muito mais do que simplesmente imitar ou memorizar. O QECR busca descrever exaustivamente aquilo que o aprendiz de uma língua, no nosso caso o PLE, tem que aprender para ser capaz de comunicar, interagir e quais os conhecimentos e habilidades ele tem de desenvolver para serem eficazes na sua atuação. A descrição abrange também o contexto cultural dessa língua. Sendo assim, o QECR é mais uma alternativa para aqueles que trabalham com o português na modalidade de língua 2 (PLE) no sentido da compreensão das alteridades, da cidadania e da democracia num mundo sem fronteiras em que “Navegar é preciso”, i.e., interagir, dialogar. (shrink)

Entendendo a identidade como construção ideológica, esta pesquisa busca refletir sobre a identidade dos professores de língua portuguesa construída nos Parâmetros Curriculares Nacionais e nas Orientações Curriculares Nacionais para o ensino de língua portuguesa, os quais impõem uma nova postura teórica e prática a estes profissionais. Dito de outra forma, pretende-se apresentar e discutir os resultados de uma análise discursiva das representações da (s) identidade (s) e competências atribuídas aos professores, enfatizando as representações sociais da profissão do professor na sociedade (...) contemporânea brasileira, abrindo a possibilidade para questionarmos a identidade unificada e transparente que os documentos oficiais desenham para os professores. (shrink)

People often reason about omissions. One line of research shows that people can distinguish between the semantics of omissive causes and omissive enabling conditions: for instance, not flunking out of college enabled you (but didn’t cause you) to graduate. Another line of work shows that people rely on the normative status of omissive events in inferring their causal role: if the outcome came about because the omission violated some norm, reasoners are more likely to select that omission as a cause. (...) We designed a novel paradigm that tests how norms interact with the semantics of omissive enabling conditions. The paradigm concerns the circuitry of a mechanical device that plays music. Two experiments used the paradigm to stipulate norms and present a distinct set of possibilities to participants. Participants chose which causal verb best described the operations of the machine. The studies revealed that participants’ responses are best predicted by their tendency to consider the semantics of omissive relations. In contrast, norms had little to no effect in participants’ responses. We conclude by marshaling the evidence and considering what role norms may play in people’s understanding of omissions. (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)

Internalism about moral responsibility is the view that moral responsibility is determined primarily by an agent's mental states; externalism is the view that moral responsibility is determined primarily by an agent's overt behaviour and by circumstances external to the agent. In a series of papers, Michelle Ciurria has argued that most if not all current accounts of moral responsibility, including Strawsonian ones, are internalist. Ciurria defends externalism against these accounts, and she argues that, in contrast to his contemporary followers, P.F. (...) Strawson himself was an externalist. I believe that Ciurria's reading of Strawson is problematic. The aim of this paper is to elucidate Strawson's position with regard to the internalism-externalism issue against the background of Ciurria's reading of him. I conclude that Strawson was neither an internalist nor an externalist about moral responsibility. I draw extensively upon the whole body of Strawson's work, much of which is sadly neglected in discussions of ‘Freedom and Resentment’, although it illuminates many of the issues discussed there. (shrink)

In this paper, we offer a criticism, inspired by Wittgenstein’s rule-following considerations, of the enactivist account of perception and action. We start by setting up a non-descriptivist naturalism regarding the mind and continue by defining enactivism and exploring its more attractive theoretical features. We then proceed to analyse its proposal to understand normativity non-socially. We argue that such a thesis is ultimately committed to the problematic idea that normative practices can be understood as private and factual. Finally, we offer a (...) characterization of normativity as an essentially social phenomenon and apply our criticisms to other approaches that share commitments with enactivism. (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 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)

Can trust evolve on the Internet between virtual strangers? Recently, Pettit answered this question in the negative. Focusing on trust in the sense of ‘dynamic, interactive, and trusting’ reliance on other people, he distinguishes between two forms of trust: primary trust rests on the belief that the other is trustworthy, while the more subtle secondary kind of trust is premised on the belief that the other cherishes one’s esteem, and will, therefore, reply to an act of trust in kind (‘trust-responsiveness’). (...) Based on this theory Pettit argues that trust between virtual strangers is impossible: they lack all evidence about one another, which prevents the imputation of trustworthiness and renders the reliance on trust-responsiveness ridiculous. I argue that this argument is flawed, both empirically and theoretically. In several virtual communities amazing acts of trust between pure virtuals have been observed. I propose that these can be explained as follows. On the one hand, social cues, reputation, reliance on third parties, and participation in (quasi-) institutions allow imputing trustworthiness to varying degrees. On the other, precisely trust-responsiveness is also relied upon, as a necessary supplement to primary trust. In virtual markets, esteem as a fair trader is coveted while it contributes to building up one’s reputation. In task groups, a hyperactive style of action may be adopted which amounts to assuming (not: inferring) trust. Trustors expect that their virtual co-workers will reply in kind while such an approach is to be considered the most appropriate in cyberspace. In non-task groups, finally, members often display intimacies while they are confident someone else ‘out there’ will return them. This is facilitated by the one-to-many, asynchronous mode of communication within mailing lists. (shrink)

Childhood looms large in our understanding of human life as it is a phase through which all adults have passed. Childhood is foundational to the development of selfhood, the formation of interests, values and skills and to the lifespan as a whole. Understanding what it is like to be a child, and what differences childhood makes, are essential for any broader understanding of the human condition. The Routledge Handbook of the Philosophy of Childhood and Children is an outstanding reference source (...) to the key topics, problems and debates in this exciting subject and is the first collection of its kind. Comprising over thirty chapters by a team of international contributors the Handbook is divided into five parts: ¿ Being a child ¿ Childhood and moral status ¿ Parents and children ¿ Children in society ¿ Children and the state. Questions covered include: What is a child? Is childhood a uniquely valuable state, and if so why? Can we generalize about the goods of childhood? What rights do children have, and are they different from adults¿ rights? What gives people a right to parent? What role, if any, ought biology to play in determining who has the right to parent a particular child? What kind of rights can parents legitimately exercise over their children? What roles do relationships with siblings and friends play in the shaping of childhoods? How should we think about sexuality and disabilility in childhood, and about racialised children? How should society manage the education of children, and what values should inform such practices? What is a good school? How are children¿s lives affected by being taken into social care? The Routledge Handbook of the Philosophy of Childhood and Children is essential reading for students and researchers in philosophy of childhood, political philosophy and ethics as well as those in related disciplines such as education, psychology, sociology, social policy, law, social work, youth work, neuroscience and anthropology. (shrink)

Este artigo empreende uma discussão acerca da noção de fórmula discursiva nos trabalhos de Krieg-Planque e de um possível diálogo com o trabalho desenvolvido por Foucault, sobretudo, a partir do modo como o filósofo percebe o discurso, uma vez que ambos pertencem a uma tradição epistemológica francesa. Dessa forma, vamos adentrar pelo percurso de lapidação da noção de fórmula, tomando, para isso, a entrevista que Krieg-Planque concedeu a Philippe Schepens do Laboratoire de Sémio-linguistique, didatique e informatique (LASELDI) e do livro (...) A noção de fórmula em análise do discurso: quadro teórico e metodológico, trabalhos que representam para nós brasileiros uma espécie de introdução à discussão sobre a noção de fórmula proposta por Krieg-Planque no campo da Escola Francesa de Análise do Discurso (AD). Nessa discussão, vamos perceber que toda fórmula discursiva traz consigo uma densidade histórica apoiada em pré-construídos que estão voltados para as novas construções, tal qual propunha Foucault acerca das práticas e das materialidades discursivas em sua arqueologia do saber e em sua genealogia do poder. (shrink)

The ideas behind open source software are currently applied to the production of encyclopedias. A sample of six English text-based, neutral-point-of-view, online encyclopedias of the kind are identified: h2g2, Wikipedia, Scholarpedia, Encyclopedia of Earth, Citizendium and Knol. How do these projects deal with the problem of trusting their participants to behave as competent and loyal encyclopedists? Editorial policies for soliciting and processing content are shown to range from high discretion to low discretion; that is, from granting unlimited trust to limited (...) trust. Their conceptions of the proper role for experts are also explored and it is argued that to a great extent they determine editorial policies. Subsequently, internal discussions about quality guarantee at Wikipedia are rendered. All indications are that review and ?super-review? of new edits will become policy, to be performed by Wikipedians with a better reputation. Finally, while for encyclopedias the issue of organizational trust largely coincides with epistemological trust, a link is made with theories about the acceptance of testimony. It is argued that both non-reductionist views (the ?acceptance principle? and the ?assurance view?) and reductionist ones (an appeal to background conditions, and a?newly defined??expertise view?) have been implemented in editorial strategies over the past decade. (shrink)

A common style of argument in the literature on free will and moral responsibility is the Manipulation Argument. These tend to begin with a case of an agent in a deterministic universe who is manipulated, say, via brain surgery, into performing some action. Intuitively, this agent is not responsible for that action. Yet, since there is no relevant difference, with respect to whether an agent is responsible, between the manipulated agent and a typical agent in a deterministic universe, responsibility is (...) not compatible with the truth of determinism. In response, some theorists have argued that there is a relevant difference, and have developed two sorts of accounts of that difference: bypassing views, and manipulator-focused views. Manipulator-focused views suggest that the difference concerns the presence of a manipulator, whereas bypassing views suggest that the relevant difference concerns the fact that the action issues from attitudes that the manipulated agent acquired in a way that bypassed her capacities for control over her mental life. One sort of case used to decide between these sorts of accounts is a case of machine induction, which is just like a manipulation case, yet the change in the agent is the result of some natural force. Against the received view, Xiaofei Liu argues that such cases pose problems for bypassing views, and favor manipulator-focused views instead. This paper addresses Liu’s arguments, as well as a variety of cases, concluding that cases of machine induction do not provide motivation for a bypassing theorist to adopt a manipulator-focused view. (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)

Este trabalho apresenta algumas considerações a respeito da Base Nacional Comum Curricular (BNCC), no referente às questões ligadas ao ensino da língua portuguesa no Brasil, à territorialidade e ao pertencimento racial, processos históricos, que envolvem, no campo da educação, a formação docente e a construção da cidadania dos educandos e das educandas nestes tempos de reafirmação do Estado democrático de direito e da vaga decolonial. Portanto, trata-se de uma abordagem política em termos do pensamento de Paulo Freire, patrono da educação (...) brasileira, que considerava político o ato de educar (FREIRE, 1980; 1983; 1989; 1996). É com base nesta perspectiva que a BNCC será abordada, mas sob o aporte teórico da análise pragmática do discurso, tributária da análise discursivo-desconstrutiva (cf. ARAÚJO, 2020). (shrink)

Michael Zimmerman has recently argued against the twofold Strawsonian claim that there can be no moral responsibility without a moral community and that, as a result, moral responsibility is essentially interpersonal. I offered a number of objections to Zimmerman’s view, to which Zimmerman responded. In this article, I respond to Zimmerman’s responses to my criticisms.

Singularities in general relativity and quantum field theory are often taken not only to motivate the search for a more-fundamental theory (quantum gravity, QG), but also to characterise this new theory and shape expectations of what it is to achieve. Here, we first evaluate how particular types of singularities may suggest an incompleteness of current theories. We then classify four different 'attitudes' towards singularities in the search for QG, and show, through examples in the physics literature, that these lead to (...) different scenarios for the new theory. Two of the attitudes prompt singularity resolution, but only one suggests the need for a theory of QG. Rather than evaluate the different attitudes, we close with some suggestions of factors that influence the choice between them. (shrink)

Nossa pesquisa vai refletir sobre o discurso da política educacional brasileira implementada a partir da Lei de Diretrizes e Bases da Educação Nacional, particularmente, aquele que trata da formação docente. Ele tem imposto uma reconfiguração da identidade dos professores, concedendo-lhes uma autonomia de autoconhecimento e resolução dos problemas cotidianos, que, no nosso entendimento, não corresponde ao que acontece na escola (VILLA, 1998; LAWN, 2001; VEIGA, 2002; VASCONCELLOS, 2003). Assim, pretendemos apresentar e discutir sobre as representações da identidade do professor nos (...) PCN (Português). Esperamos, com isso, contribuir para a construção de uma política de formação de professores sensível às diferenças culturais e identitárias dos professores no Brasil. (shrink)

Este roteiro de leitura, que ora apresentamos, tem como objetivo principal tornar mais acessível, ou melhor, mais inteligível A ordem do discurso de Michel Foucault para aqueles que se arriscam a entrar nesta ordem por meio de sua análise do discurso redimensionada nesta sua aula inaugural. É um roteiro simples que procurou atender minimamente aos leitores iniciantes deste texto que se tornou um clássico no campo das Humanidades e das ciências empíricas como o Direito e a própria Medicina, campos que (...) passaram pelo crivo das análises arqueogenealógicas empreendidas por Foucault. (shrink)

Tendo em vista que “todo sistema de educação é uma maneira política de manter ou de modificar a apropriação dos discursos, com os saberes e os poderes que eles trazem consigo”, nossa pesquisa visa refletir sobre a nova identidade docente materializada no discurso dos PCNs de língua Portuguesa. Trata-se de traduzir a política oficial de formação de professor e/ou desconstruí-la (Derrida, 1998), analisando e discutindo a(s) identidade(s) e competências atribuídas aos professores, abrindo a possibilidade para questionarmos a identidade unificada e (...) transparente que os documentos oficiais desenham para os professores em serviço. Esperamos, com esse trabalho, contribuir para a construção de uma política de formação de professores sensível à subjetividade heterogênea dos professores no Brasil. (shrink)

Kuhn wanted to install a new research agenda in philosophy of science. I argue that the tools are now available to better articulate his paradigm and let it guide philosophical research instead of itself remaining the object of philosophical debate.

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)

Este trabalho trata do conceito Exu Diaspórico, o qual foi forjado para lidar com as pesquisas empíricas situadas dentro do quadro teórico da vaga decolonial. Sua concepção está ligada às tradições iorubanas diaspóricas nessa parte do Atlântico Sul onde emergiram outros sistemas resultantes, quer seja de fragmentos e vestígios de narrativas em gestos de memória e resistência, quer seja da tradução realizada pelo outro, muitas vezes, por meio de um processo de carnavalização cultural, que, por sua vez, se deu pela (...) convivência com os bantu, com os povos autóctones e com o colonizador europeu. Este conceito se articula com o conceito de língua-linguagem como encruzilhada apresentado por Araújo (2021a), mas pode ser tomado, ainda, de forma independente. Portanto, trata-se de uma discussão conceitual que visa contribuir com as reflexões e pesquisas decoloniais. O conceito também está a cargo de noções como negritude e Baianidade. Contudo, ele aparece para reunir todas as representações de Exu que resultaram da diáspora negra em meio a um processo de carnavalização das tradições iorubanas em contato com outras culturas e cosmologias. (shrink)

Este trabalho reflete sobre o modo como nossos ancestrais negros resistiram à necropolítica colonial mobilizando saberes para recriar no Brasil outros espaços religiosos sob o nome de terreiros de candomblé. Mas o objetivo principal da discussão é tratar sobre as noções de sincretismo religioso, desconstruindo-a teoricamente conforme a decolonialidade aplica tal conceito derridiano. O termo necropolítica é usado aqui conforme Achille Mbembe o emprega. Como uma forma de contribuir com o debate em voga e, ao mesmo tempo, fazer o diagnóstico (...) do presente, a discussão se justifica também porque a questão do sincretismo religioso tem sido alvo de muitos questionamentos por parte dos movimentos negros e por parte dos teóricos da decolonialidade. (shrink)