Although there is a consensus among philosophers of mathematics and mathematicians that mathematical explanations exist, only a few authors have proposed accounts of explanation in mathematics. These accounts fit into the unificationist or top-down approach to explanation. We argue that these models can be complemented by a bottom-up approach to explanation in mathematics. We introduce the mechanistic model of explanation in science and discuss the possibility of using this model in mathematics, arguing that using it does not presuppose a Platonist (...) view of mathematics and allows one to gain insight into why a theorem is true by answering what-if-things-had-been-different questions. (shrink)

Mathematics seems to have a special status when compared to other areas of human knowledge. This special status is linked with the role of proof. Mathematicians often believe that this type of argumentation leaves no room for errors and unclarity. Philosophers of mathematics have differentiated between absolutist and fallibilist views on mathematical knowledge, and argued that these views are related to whether one looks at mathematics-in-the-making or finished mathematics. In this paper we take a closer look at mathematical practice, more (...) precisely at the publication process in mathematics. We argue that the apparent view that mathematical literature, given the special status of mathematics, is highly reliable is too naive. We will discuss several problems in the publication process that threaten this view, and give several suggestions on how this could be countered.Las matemáticas parecen tener un estatuto especial cuando se las compara con otras áreas del conocimiento humano. Este estatuto especial está conectado con el papel de la demostración. Los matemáticos creen con frecuencia que este tipo de argumentos no deja margen para el error o la falta de claridad. Los filósofos de la matemática han distinguido entre una concepción absolutista y una falibilista del conocimiento matemático, argumentando que estas concepciones están relacionadas con una consideración de las matemáticas-en-proceso o en tanto que matemáticas ya hechas. En este artículo examinamos más de cerca la práctica matemática, más en concreto el proceso de publicación en matemáticas. Argumentaremos que la idea preconcebida de que la literatura matemática, dado el estatuto especial de las matemáticas, es altamente fiable, es demasiado ingenua. Discutiremos algunos problemas del proceso de edición que amenazan esta visión y haremos algunas sugerencias sobre cómo enfrentarlos. (shrink)

One of the central aims of the philosophical analysis of mathematical explanation is to determine how one can distinguish explanatory proofs from non-explanatory proofs. In this paper, I take a closer look at the current status of the debate, and what the challenges for the philosophical analysis of explanatory proofs are. In order to provide an answer to these challenges, I suggest we start from analysing the concept understanding. More precisely, I will defend four claims: understanding is a condition for (...) explanation, unificatory understanding is a type of explanatory understanding, unificatory understanding is valuable in mathematics, and mathematical proofs can contribute to unificatory understanding. As a result, in a context where the epistemic aim is to unify mathematical results, I argue it is fruitful to make a distinction between proofs based on their explanatory value. (shrink)

Mathematicians suggest that some proofs are valued for their explanatory value. This has led to a philosophical debate about the distinction between explanatory and non-explanatory proofs. In this paper, we explore whether contrasting views about the explanatory value of proof are possible and how to understand these diverging assessments. By considering an epistemic and contextual conception of explanation, we can make sense of disagreements about explanatoriness in mathematics by identifying differences in the background knowledge, skill corpus, or epistemic aims of (...) mathematicians or mathematical communities. We focus on the relation between explanation, epistemic aims and diverging explanatory assessments by looking at cases from mathematical practice. (shrink)

Mathematics seems to have a special status when compared to other areas of human knowledge. This special status is linked with the role of proof. Mathematicians all too often believe that this type of argumentation leaves no room for errors or unclarity. In this paper we take a closer look at mathematical practice, more precisely at the publication process in mathematics. We argue that the apparent view that mathematical literature is also more reliable is too naive. We will discuss several (...) problems in the publication process that threaten this view, and give several suggestions on how this could be countered. (shrink)

This introductory chapter sets the stage for an engaging exploration of the multifaceted concept of proof in the philosophy of mathematical practice. As a fundamental pillar of mathematics, proof has long been a subject of intense scrutiny for mathematicians and philosophers alike. Traditionally, proofs have been perceived as rigorous and deductive arguments, and this analysis was directed towards the notion of formal proof. However, recent developments have challenged this traditional view, highlighting the dynamic and evolving nature of mathematical proofs. In (...) this section, we bring together diverse perspectives from leading scholars to delve into the philosophical significance and complexity of mathematical proof. (shrink)

In this paper we discuss three interrelated questions. First: is explanation in mathematics a topic that philosophers of mathematics can legitimately investigate? Second: are the specific aims that philosophers of mathematical explanation set themselves legitimate? Finally: are the models of explanation developed by philosophers of science useful tools for philosophers of mathematical explanation? We argue that the answer to all these questions is positive. Our views are completely opposite to the views that Mark Zelcer has put forward recently. Throughout this (...) paper, we show why Zelcer’s arguments fail. (shrink)

PurposeIn this article, we aim to present and defend a contextual approach to mathematical explanation.MethodTo do this, we introduce an epistemic reading of mathematical explanation.ResultsThe epistemic reading not only clarifies the link between mathematical explanation and mathematical understanding, but also allows us to explicate some contextual factors governing explanation. We then show how several accounts of mathematical explanation can be read in this approach.ConclusionThe contextual approach defended here clears up the notion of explanation and pushes us towards a pluralist vision (...) on mathematical explanation. (shrink)

'Philosophische Anthropologie' meint in dieser Studie nicht eine philosophische Subdisziplin, sondern eine besondere Theorierichtung in der deutschsprachigen Philosophie des 20. Jahrhunderts, die mit den Namen Max Scheler, Helmuth Plessner, Erich Rothacker, Arnold Gehlen, Adolf Portmann u.v.a. mehr verbunden ist. Der erste Teil erzählt die verwickelte, teils abenteuerliche Entstehungs-, Aufstiegs- und Entfaltungsgeschichte dieser Denkergruppe von 1919 bis 1975 - einschließlich ihrer beachtlichen Wirkungsgeschichte in verschiedenen Disziplinen wie der Soziologie, Psychologie, Biologie und der Philosophie selbst. Im zweiten Teil wird der philosophische Identitätskern (...) dieser Philosophischen Anthropologie als Denkansatz präzisiert. (shrink)

In this book two of the leading figures in argumentation theory present a view of argumentation as a means of resolving differences of opinion by testing the acceptability of the disputed positions. Their model of a 'critical discussion' serves as a theoretical tool for analysing, evaluating and producing argumentative discourse. They develop a method for the reconstruction of argumentative discourse that takes into account all aspects that are relevant to a critical assessment. They also propose a practical code of behaviour (...) for discussants who want to resolve their differences in a reasonable way. This is a major contribution to the study of argumentation and will be of particular value to professionals and graduate students in speech communication, informal logic, rhetoric, critical thinking, linguistics, and philosophy. (shrink)

Leading scholars address the ethical and practical dimensions of Heidegger's thought.

The issues addressed in philosophical papers on quotation generally concern only a particular type of quotation, which I call 'closed quotation'. The other main type, 'open quotation', is ignored, and this neglect leads to bad theorizing. Not only is a general theory of quotation out of reach: the specific phenomenon of closed quotation itself cannot be properly understood if it is not appropriately situated within the kind to which it belongs. Once the distinction between open and closed quotation has been (...) drawn and properly appreciated, it is tempting to consider that only closed quotation is relevant to semantics. Open quotation is more a matter of pragmatics: it is a matter of what people do with words, rather than a matter of content and truth-conditions. In this way one can provide the beginning of a justification for the neglect of open quotation in current semantic theorizing. There is some truth in this view, yet the phenomenon of 'mixed quotation', investigated at length in this paper, is interesting precisely because it shows that things are not so simple. Important issues concerning the interface between semantics and pragmatics will thus be raised. (shrink)

Mit einer Dissertation über griechische Philosophie wurde der 23-jährige Karl Heinrich Marx aus Trier 1841 an der Universität Jena mit dem Prädikat "vorzüglich würdig" promoviert.0In der vorliegenden Edition werden die örtlichen Hintergründe im Umfeld der "Hohen Schule" der Ernestiner, die Begleitumstände des amtlichen akademischen Verfahrens und die aufsehenerregende Wirkungsgeschichte im Umgang mit der Qualifikationsschrift behandelt.0Zugleich hatte sich die Alma mater Jenensis ein bleibendes Denkmal für die Förderung eines aufstrebenden und später berühmt gewordenen Nachwuchsgelehrten durch die Jenaer Bildungsstätte gesetzt. Für die (...) politische sowie Ideen- und Symbolgeschichte und die ideologischen Räderwerke des 19. Jahrhunderts bildet die deutsch-sowjetische Editionsgeschichte der Marx-Dokumente ein eindrucksvolles Exempel.0Der 200. Geburtstag 2018 des grossen und nach wie vor heftig umstrittenen Philosophen, Publizisten, Politikers und Ökonomen bot den äusseren Anlass für diese Publikation. Mit einer Zusammenfassung in Chinesisch, Englisch und Spanisch. (shrink)

I argue that epistemic injustice manifests not only in the content of our concepts, but in the spaces between them. Others have shown that epistemic injustice arises in the form of “testimonial injustice,” where an agent is harmed because her credibility is undervalued, and “hermeneutical injustice,” where an agent is harmed because some community lacks the conceptual resources that would allow her to render her experience intelligible. I think that epistemic injustice also arises as a result of prejudiced and harmful (...) defects in the inferential architecture of both scientific practice and everyday thinking. Drawing on lessons from the philosophy of science, I argue that the inferential architecture of our epistemic practices can be prejudiced and wrongful, leading to a variety of epistemic injustice that I am calling “inferential injustice.” This type of injustice is fully structural; it inheres in our epistemic practices themselves rather than as a direct result of an individual’s action. For this reason, cases of inferential injustice are importantly different from extant cases of epistemic injustice and are especially hard to track. We need a better understanding of inferential injustice so that we can avoid and ameliorate cases such as the ones I present here. (shrink)

ABSTRACT We outline a number of ethical objections to genetic technologies aimed at enhancing human capacities and traits. We then argue that, despite the persuasiveness of some of these objections, they are insufficient to stop the development and use of genetic enhancement technologies. We contend that the inevitability of the technologies results from a particular guiding worldview of humans as masters of the human evolutionary future, and conclude that recognising this worldview points to new directions for ethical thinking about genetic (...) enhancement technologies. (shrink)

BackgroundThe emphasis on impact factors and the quantity of publications intensifies competition between researchers. This competition was traditionally considered an incentive to produce high-quality work, but there are unwanted side-effects of this competition like publication pressure. To measure the effect of publication pressure on researchers, the Publication Pressure Questionnaire (PPQ) was developed. Upon using the PPQ, some issues came to light that motivated a revision.MethodWe constructed two new subscales based on work stress models using the facet method. We administered the (...) revised PPQ (PPQr) to a convenience sample together with the Maslach Burnout Inventory (MBI) and the Work Design Questionnaire (WDQ). To assess which items best measured publication pressure, we carried out a principal component analysis (PCA). Reliability was sufficient when Cronbach’s alpha > 0.7. Finally, we administered the PPQr in a larger, independent sample of researchers to check the reliability of the revised version.ResultsThree components were identified as ‘stress’, ‘attitude’, and ‘resources’. We selected 3 × 6 = 18 items with high loadings in the three-component solution. Based on the convenience sample, Cronbach’s alphas were 0.83 for stress, 0.80 for attitude, and 0.76 for resources. We checked the validity of the PPQr by inspecting the correlations with the MBI and the WDQ. Stress correlated 0.62 with MBI’s emotional exhaustion. Resources correlated 0.50 with relevant WDQ subscales. To assess the internal structure of the PPQr in the independent reliability sample, we conducted the principal component analysis. The three-component solution explains 50% of the variance. Cronbach’s alphas were 0.80, 0.78, and 0.75 for stress, attitude, and resources, respectively.ConclusionWe conclude that the PPQr is a valid and reliable instrument to measure publication pressure in academic researchers from all disciplinary fields. The PPQr strongly relates to burnout and could also be beneficial for policy makers and research institutions to assess the degree of publication pressure in their institute. (shrink)

In the pragma-dialectical approach, fallacies are considered incorrect moves in a discussion for which the goal is successful resolution of a dispute. Ten rules are given for effective conduct at the various stages of such a critical discussion (confrontation, opening, argumentation, concluding). Fallacies are discussed as violations of these rules, taking into account all speech acts which are traditionally recognized as fallacies. Special attention is paid to the role played by implicitness in fallacies in everyday language use. It is stressed (...) that identifying and acknowledging fallacies in ordinary discussions always has a conditional character. Differences between the pragma-dialectical perspective, the Standard Treatment, and the formal logic approach to fallacy analysis are discussed. (shrink)

BackgroundConcerns about research misbehavior in academic science have sparked interest in the factors that may explain research misbehavior. Often three clusters of factors are distinguished: individual factors, climate factors and publication factors. Our research question was: to what extent can individual, climate and publication factors explain the variance in frequently perceived research misbehaviors?MethodsFrom May 2017 until July 2017, we conducted a survey study among academic researchers in Amsterdam. The survey included three measurement instruments that we previously reported individual results of (...) and here we integrate these findings.ResultsOne thousand two hundred ninety-eight researchers completed the survey. Results showed that individual, climate and publication factors combined explained 34% of variance in perceived frequency of research misbehavior. Individual factors explained 7%, climate factors explained 22% and publication factors 16%.ConclusionsOur results suggest that the perceptions of the research climate play a substantial role in explaining variance in research misbehavior. This suggests that efforts to improve departmental norms might have a salutary effect on behavior. (shrink)

This theoretical expose explores the complex notion of argumentative style, which has so far been largely neglected in argumentation theory. After an introduction of the problems involved, the theoretical tools for identifying the properties of the discourse in which an argumentative style manifests itself are explained from a pragma-dialectical perspective and a theoretical definition of argumentative style is provided that does full justice to its role in argumentative discourse. The article concludes with a short reflection upon the next steps that (...) need to be taken in argumentation theory in further substantiating the notion of argumentative style. (shrink)

It is often claimed that the exceptional severity of the Spanish flu, one of the most deadly events in recorded human history, is an unsolved mystery. However, even detailed aspects such as its W-shaped mortality curve are well explained by Paul Ewald’s theory of the evolution of virulence. Understanding the causes of the Spanish flu will help to prevent future epidemics.

Studie over het werk van de Duitse wijsgeer (1762-1814), met een beknopte levensbeschrijving.

Não obstante as críticas de Giambattista Vico ao pensamento de Espinosa, é possível estabelecer uma relação de proximidade entre os dois. Se as críticas distanciam, o interesse histórico-filológico aproxima. Com efeito, para o estabelecimento de certa convergência entre os propósitos filosóficos dos dois autores, elencam-se os seguintes pressupostos: _i)_ tanto na _Ciência Nova_, quanto no _Tratado Teológico-Político_, a _filologia_ não é apenas conhecimento textual das línguas, porém via de acesso à história de um povo, pois guarda as mutações temporais da (...) vida civil e a memória do mundo de sentido no qual se gesta; _ii)_ a língua não é uma criação do rigor do entendimento, isto é, não é criação dos filósofos, mas da imaginação, portanto do _vulgo_. Desse modo, toda via de acesso ao conhecimento do passado passa inevitavelmente pela potência da _imaginação-fantasia_: questão que interpela Espinosa na _história dos hebreus_ e Vico na _natureza comum das nações_. (shrink)

My question in this paper concerns what eudaimonist virtue ethics (EVE) might have to say about what makes right actions right. This is obviously an important question if we want to know what (if anything) distinguishes EVE from various forms of consequentialism and deontology in ethical theorizing. The answer most commonly given is that according to EVE, an action is right if and only if it is what a virtuous person would do in the circumstances. However, understood as a claim (...) about what makes particular actions right, this is not especially plausible. What makes a virtuous person’s actions right must reasonably be a matter of the feature, or features, which she, via her practical wisdom, appreciates as ethically relevant in the circumstances, and not the fact that someone such as herself would perform those actions. I argue that EVE instead should be understood as a more radical alternative in ethical philosophy, an alternative that relies on the background assumption that no general account or criterion for what makes right actions right is available to us: right action is simply too complex to be captured in a ‘finite and manageable set of…moral principles’ (McKeever and Ridge, Principled ethics, Oxford University Press, 2006 , p. 139). This does not rule out the possibility that there might be some generalizations about how we should act which hold true without exception. Perhaps there are some things which we must never do, as well as some features of the world which always carry normative weight (even though their exact weight may vary from one context to another). Still, these things are arguably few and far between, and what we must do to ensure that we reliably recognize what is right in particular situations is to acquire practical wisdom. Nothing short of that could do the job. (shrink)

What is the highest good? In the ethics of René Descartes, we can distinguish between at least seven different answers to this question: God; the sum of all the different goods that “we either possess... or have the power to acquire” ; free will; virtue; love of God; wisdom; and supernatural beatitude. In this paper, I argue that each of these answers, in Descartes’s view, provides the correct particular conception, relative to a distinct sense or concept of the highest good. (...) Just as there are seven different conceptions of the highest good, according to Descartes, there are thus also seven different senses or concepts of the highest good. (shrink)

In this paper, I argue that epistemic injustice can result from transformative learning. Transformative learning causes a radical change in the structure of a student’s personal epistemic resources to bring them in line with the structure of a discipline’s shared epistemic resources. When those shared epistemic resources are biased, this transformation prevents students from retaining aspects of their personal epistemic resources which it is strongly in their interests (as well as in the interests of the broader epistemic community) to retain. (...) In these cases, transformative learning causes epistemic injustice in the form of inferential injustice. (shrink)

My main thesis in this article is that Descartes' ethics should be understood as involving a distinction between happiness and well-being. The distinction I have in mind is never clearly stated or articulated by Descartes himself, but I argue that we nevertheless have good reason to embrace it as an important component in a charitable reconstruction of his ethical thought. In section I, I present Descartes' account of happiness and of how he thinks happiness can (and cannot) be acquired. Then, (...) in section II, I introduce and develop the distinction between happiness and well-being. I do this via a discussion of a difficult passage in one of Descartes' letters to Elisabeth, where he may seem first to grant and then immediately to reject the view that people's happiness can vary in degree depending on the possession of goods or perfections that are outside their power to control. I believe my proposed distinction can help us make good sense of this passage. In the last two sections (III and IV), I then offer some further grounds or reasons for why the proposed distinction should be ascribed to Descartes. (shrink)

The impending missions to exploit natural resources of celestial bodies may at some point start interfering with the scientific interests, including those of astrobiology, in these bodies. While the legal status of celestial bodies at the highest level is clear, uncertainty has arisen as to the extent private property rights over such objects or over their resources are legally acceptable, legally impossible, or potentially legal. This also provides for a considerable amount of uncertainty regarding how the legal framework could or (...) may need to be changed to accommodate private interests. The article analyzes the two main international treaties relevant from this perspective, as well as their backgrounds, in order to outline the current legal status of celestial bodies and the resulting legal rights and obligations pertinent to both private exploitation and exploration. Based on such an analysis, it concludes by highlighting an approach that could actually incentivize the private sector and the science community to work together in a manner conducive to their interests in exploitation and exploration respectively. (shrink)

For Bernard Stiegler ‘the question of philosophy is first of all that of action’ (p.7). By extending this statement to philosophy of education, I consider the possibilities of action in education in responding to the conditions of the contemporary. These conditions, which have come to be discussed and dissected with reference to such terms as Anthropocene (Stoermer, Crutzen), Capitalocene (Moore), Plantationocene (Haraway), hold unprecedented and mostly devastating consequences for all life. To consider possibilities for action within the field of education (...) to the conditions of the contemporary, I read Walter Mignolo’s concept of the colonial wound together with Gilles Deleuze’s conceptualisation of the wound. Based on this reading, I argue for the conditions of the contemporary to be understood as a wound in both Mignolo’s and Deleuze’s sense. Conceptualising it as such in turn allows me to ask how we might counter-actualise the wounds of the contemporary. In other words, how might we be worthy of the wound-event and respond in an affirmative yet critical manner to it within the field of education, and in so doing generate new possibilities of (educational) life. To consider what one such possibility of counter-actualisation might entail, I propose that education be informed by the notion of incompleteness, as expressed in the concept of conviviality. I conclude by reflecting on implications of counter-actualising the wound of the contemporary in relation to education if we were to activate the concepts of incompleteness and conviviality and pursue a different aesthetics of (educational) life. (shrink)