In On Touching, Derrida commends philosopher Jean-Luc Nancy for ‘taking into account [the] plasticity and technicity “at the heart” of the “body proper.”’ Specifying the meaning of this plasticity and technicity, Derrida writes, the"[s]upplementarity of technical prosthetics originarily spaces out, defers, or expropriates all originary properness: there is no “the” sense of touch, there is no “originary” or essentially originary touching before it." What is ‘proper’ or ‘original’ to the body, it seems, is not any set of properties or (...) capacities – including sensorial or perceptual powers – but rather the ‘plastic and substitutive structure of prosthetics’, the very possibility of the body’s ‘technical’ supplementation. (shrink)

There are different narratives on mathematics as part of our world, some of which are more appropriate than others. Such narratives might be of the form ‘Mathematics is useful’, ‘Mathematics is beautiful’, or ‘Mathematicians aim at theorem-credit’. These narratives play a crucial role in mathematics education and in society as they are influencing people’s willingness to engage with the subject or the way they interpret mathematical results in relation to real-world questions; the latter yielding important normative considerations. Our strategy is (...) to frame current narratives of mathematics from a virtue-theoretic perspective. We identify the practice of mathematizing, put forward by Freudenthal’s ‘Realistic mathematics education’, as virtuous and use it to evaluate different narratives. We show that this can help to render the narratives more adequately, and to provide implications for societal organization. (shrink)

Philosophers of language are increasingly engaging with derogatory terms or slurs. Only few theorists take such language as a starting point for addressing puzzles in philosophy of language with little connection to our real-world problems. This paper aims to show that the political nature of derogatory language use calls for non-ideal theorising as we find it in the work of feminist and critical race scholars. Most contemporary theories of slurs, so I argue, fall short on some desiderata associated with a (...) non-ideal approach. They neglect crucial linguistic or political aspects of morally and politically significant meaning. I argue that a two-stage project is necessary to understand the perniciousness of slurs: accounting for the derogatory content of derogatory terms in general and, additionally, explaining the communicative function of slurs more specifically. I end by showing how inferentialism is well-suited to account for the content of derogatory terms whilst allowing for further explanations of the communicative functions of slurs. (shrink)

In arguing against the likelihood of consciousness in non-human animals, Descartes advances a slippery slope argument that if thought were attributed to any one animal, it would have to be attributed to all, which is absurd. This paper examines the foundations of Thomas Willis’ comparative neuroanatomy against the background of Descartes’ slippery slope argument against animal consciousness. Inspired by Gassendi’s ideas about the corporeal soul, Thomas Willis distinguished between neural circuitry responsible for reflex behaviour and that responsible for cognitively or (...) consciously mediated behaviour. This afforded Willis a non-arbitrary basis for distinguishing between animals with thought and consciousness and those without, a methodology which retains currency for neuroscience today. (shrink)

This paper analyses the hidden use of new axioms in set-theoretic practice with a focus on large cardinal axioms and presents a general overview of set-theoretic practices using large cardinal axioms. The hidden use of a new axiom provides extrinsic reasons in support of this axiom via the idea of verifiable consequences, which is especially relevant for set-theoretic practitioners with an absolutist view. Besides that, the hidden use has pragmatic significance for further important sub-groups of the set-theoretic community---set-theoretic practitioners with (...) a pluralist view and set-theoretic practitioners who aim for ZFC-proofs. By describing this, the paper gives a more complete picture of new axioms in set-theoretic practice. These observations, for instance, show that set-theoretic practitioners interested in ZFC-proofs use tools that go beyond ZFC. The analysis is based on empirical data that was collected in an extensive interview study with set-theoretic practitioners. (shrink)

While feminist philosophy has had much to say on the topic of reason, little has been done to develop a specifically feminist account of the concept. I argue for a virtue account of mind grounded in contemporary approaches to rationality. The evolutionary stance adopted within most contemporary theories of mind implicitly entails a rejection of central elements of Cartesianism. As a result, many accounts of rationality are anti-modern is precisely the sorts of ways that feminists demand. I maintain that a (...) virtue account of rationality can provide a satisfactory answer to Benhabib’s question in Situating of the Self: what concept of reason are we willing to defend? (shrink)

This volume includes nineteen articles by scholars from Asia, North America, and Europe on Chinese thinkers from the eleventh to the eighteenth centuries. Included here are intellectual biographies of literati such as Zhou Dunyi, the Cheng brothers, Zhu Xi, Zhang Shi, Hu Hong, Wang Yangming, and Dai Zhen. Essays are arranged chronologically, and most begin with a biographical sketch of their subject. They provide variety rather than uniformity of approach, but all in all these essays are remarkably rich and offer (...) much new material on both familiar and lesser-known thinkers. (shrink)

In this paper, I argue that poet M. Nourbese Philip's Zong! allows us to radically rethink the possibility of historical restitution and recovery. The formal ideas in Zong!, I argue, imply a metaphysical and ontological revolution in the way memory and mnesic traces are to be conceived. The evidentiary status of the voices and narratives that Zong! retrieves cannot be certified by historical-epistemological conceptions of evidence but rather find their warrant in alternative, ontological (or hauntological) registers.

This article examines the complaint that arbitrary algorithmic decisions wrong those whom they affect. It makes three contributions. First, it provides an analysis of what arbitrariness means in this context. Second, it argues that arbitrariness is not of moral concern except when special circumstances apply. However, when the same algorithm or different algorithms based on the same data are used in multiple contexts, a person may be arbitrarily excluded from a broad range of opportunities. The third contribution is to explain (...) why this systemic exclusion is of moral concern and to offer a solution to address it. (shrink)

Beyond “A Lecture on Ethics,” Wittgenstein says little on the topic of ethics, despite professing a great respect for ethics. I argue that while Wittgenstein ceases to speak of ethics, his account fits equally within his Tractarian and post-Tractarian writing. On both accounts of language, ethics remains nonsense, but it is not insignificant nonsense. However, because Wittgenstein holds ethics to concern absolute values that are in principle inexpressible, his anti-theoretical conception of ethics fails to offer guidance in how one ought (...) to live. That is, ethics ultimately cannot be show unless it can, in some sense, be said. (shrink)

An overview and comparison of the major teaching philosophies is discussed to determine their applications in the field of education. In the end, it is important to reflect on how our practices align with our philosophies.

Feminist philosophy is highly critical of Cartesian, and more broadly Enlightenment, conceptions of rationality. However, feminist philosophers typically fail to address contemporary theories of rationality and to consider how more current thoeories address feminist concerns. I argue that, contrary to their protestations, feminists are “obsessing over an outdated conception of reason” and that even the most suspect of “malestream” philosophers express an understanding of rationality that is closer to feminist concerns than Cartesian ones. I begin by briefly examining key features (...) of Cartesian rationality and discuss how these features are largely rejected by contemporary philosophy and cognitve science. I then discuss how the philosophical accounts of Robert Nozick and Robert Audi refelect this rejection of Cartesian rationality. Finally, I discuss how the views of Nozick and Audi are in line with many feminist concerns, and I argue that feminists need to take seriously some theory of rationality. (shrink)

Although feminists have spilled a great deal of ink criticizing Enlightenment conceptions of rationality, the time has come to consider constructing a positive account. Recent attempts to construct an account of rationality as a virtue concept reflect many feminist complaints concerning Enlightenment rationality, and, thus, I maintain that feminism should take seriously such a conception. Virtue rationality offers a more diverse account of rationality without sacrificing the fundamental normativity of the concept. Furthermore, the narrower concept of reasonableness, promises to provide (...) a ground for distinguishing among better and worse epistemic perspectives, which is a task critical to the success of the feminist project. (shrink)

Virtue, the centerpiece of ancient ethics, has come under attack by virtue skeptics impressed by results of psychology experiments including Milgram’s obedience studies. The virtue skeptic argues that experimental findings suggest that character structures are so fragile vis-à-vis situational factors as to be explanatorily superfluous: virtues and robust character traits are a myth, and should be replaced by situation-specific “narrow dispositions” (Gilbert Harman) or “local traits” (John Doris). This paper argues that the virtue skeptics’ sweeping claims are ill-founded. First, blending (...) Aristotelian and contemporary insights about virtue, I reach adecision about a reasonable, nonstraw defmition of “virtue” and of “character trait.” Next, I argue that explanations give by Lee Ross and Richard Nisbett for the Milgram findings covertly invoke character traits. Reflection reveals that more robust, crosssituationally consistent traits are needed for explanation of subject behavior, and that it is reasonable to suppose that such traits were in place. (shrink)

Supra-Bayesianism is the Bayesian response to learning the opinions of others. Probability pooling constitutes an alternative response. One natural question is whether there are cases where probability pooling gives the supra-Bayesian result. This has been called the problem of Bayes-compatibility for pooling functions. It is known that in a common prior setting, under standard assumptions, linear pooling cannot be nontrivially Bayes-compatible. We show by contrast that geometric pooling can be nontrivially Bayes-compatible. Indeed, we show that, under certain assumptions, geometric and (...) Bayes-compatible pooling are equivalent. Granting supra-Bayesianism its usual normative status, one upshot of our study is thus that, in a certain class of epistemic contexts, geometric pooling enjoys a normative advantage over linear pooling as a social learning mechanism. We discuss the philosophical ramifications of this advantage, which we show to be robust to variations in our statement of the Bayes-compatibility problem. (shrink)

This summary is not exactly the way I would have done it myself but I must admit that my writing is sometimes a challenge to read. So I asked an AI to do this summary expecting that it will give an easily understandable although not totally accurate view on Ontology of Knowledge and from this general understanding help the reader to read the original papers. Jean-Louis Boucon’s works, "Introduction to the Ontology of Knowledge" and "Time, Space, and World as (...) Knowledge," delve into the intricate nature of reality, meaning, and the process of knowing. Boucon challenges traditional dichotomies in philosophy and science, presenting a cohesive framework where the knowing subject and the world are intertwined aspects of a single dynamic reality. His ideas provide a robust foundation for exploring ontological and epistemological questions, including the interpretation of quantum mechanics. (shrink)

Est-il possible de parler de ce qui n’est pas ou d’y penser sans présupposer une forme d’être pour cela même que nous pensons ne pas exister? La vieille énigme parménidienne, qui hante toujours la philosophie contemporaine, est au cœur non seulement de la philosophie médiévale mais aussi des études médiévales, comme en témoigne le récent ouvrage d’Alain de Libera sur la référence vide. L’objet de cette étude est en comparaison beaucoup plus...

It is popular to hold that emotions are evaluative. On the standard account, the evaluative character of emotion is understood in epistemic terms: emotions apprehend or make us aware of value properties. As this account is commonly elaborated, emotions are experiences with evaluative intentional content. In this paper, I am concerned with a recent alternative proposal on how emotions afford awareness of value. This proposal does not ascribe evaluative content to emotions, but instead conceives of them as evaluative at the (...) level of intentional mode or attitude. I first argue that this proposal fails to make emotions intelligible as value apprehensions. There are reasons to suppose that emotions do not apprehend value to begin with, but are related to values in a different, non-epistemic sense. I then go on to show that the notion of an evaluative intentional mode can still help elucidate the evaluative character of emotion. I argue that there is a plausible non-epistemic understanding of the view that emotions are evaluative modes. On this account, emotions are not ways of apprehending values, but ways of acknowledging values. (shrink)

The ji 己self is a site, storehouse, or depot of individuated allotment associated with the possession of things and qualities: wholesome and unwholesome desires (yu 欲) and aversions, emotions such as anxiety, and positive values such as humaneness and reverence. Each person's allotment is unique, and its "contents" are collected, measured, reflected on, and then distributed to others. The Analects, Mencius, Xunzi, Daodejing, and Zhuangzi each have their own vision for negotiating the space between self and other. Works as seemingly (...) dissimilar as the Analects and Daodejing both agree that positive qualities located within the self should be shared with others, and that the self can be optimized rather than maximized through sharing, emptying, or clearing. Sommer compares the ji self with other terms for body and person current in classical times. This self is strongly individuated, but it exists primarily in relation to other human beings (ren 人 ). These "others" are almost never one's own kind and are usually people who fall outside one's ascribed familial and social relationships. Negotiations between self and other often reflect apprehension regarding degrees of distance, intimacy, worth, recognition, or understanding (zhi 知) between people. (shrink)

It is a popular thought that emotions play an important epistemic role. Thus, a considerable number of philosophers find it compelling to suppose that emotions apprehend the value of objects and events in our surroundings. I refer to this view as the Epistemic View of emotion. In this paper, my concern is with a rivaling picture of emotion, which has so far received much less attention. On this account, emotions do not constitute a form of epistemic access to specific axiological (...) aspects of their objects. Instead it proposes that they are ways of taking a stand or position on the world. I refer to this as the Position-Taking View of emotion. Whilst some authors seem sympathetic to this view, this it has so far not been systematically motivated and elaborated. In this paper, I fill this gap and propose a more adequate account of our emotional engagement with the world than the predominant epistemic paradigm. I start by highlighting the specific way in which emotions are directed at something, which I contrast with the intentionality of perception and other forms of apprehension. I then go on to offer a specific account of the valence of emotion and show how this account and the directedness of emotions makes them intelligible as a way of taking a position on something. (shrink)

I examine the once popular claim according to which interpersonal comparisons of welfare are necessary for social choice. I side with current social choice theorists in emphasizing that, on a narrow construal, this necessity claim is refuted beyond appeal. However, I depart from the opinion presently prevailing in social choice theory in highlighting that on a broader construal, this claim proves not only compatible with, but even comforted by, the current state of the field. I submit that all in all, (...) the most accurate philosophical assessment consists not in flatly rejecting this necessity claim, but in accepting it in a suitably revised form. (shrink)

A prominent version of emotional cognitivism is the view that emotions are preceded by awareness of value. In a recent paper, Jonathan Mitchell (2019) has attacked this view (which he calls the content-priority view). According to him, extant suggestions for the relevant type of pre-emotional evaluative awareness are all problematic. Unless these problems can be overcome, he argues, the view does not represent a plausible competitor to rivaling cognitivist views. As Mitchell supposes, the view is not mandatory since its core (...) motivations can be accommodated by competing views, too. I argue that Mitchell's case against the content-priority view is unconvincing as it misconceives the principal motivation for the view. As I show, properly reconstructed, this motivation provides a strong case for the indispensability of the view to any adequate cognitivist treatment of emotion. Moreover, Mitchell's survey of candidates for pre-emotional value awareness can be seen to rest on problematic phenomenological assumptions. (shrink)

A study is reported testing two hypotheses about a close parallel relation between indicative conditionals, if A then B , and conditional bets, I bet you that if A then B . The first is that both the indicative conditional and the conditional bet are related to the conditional probability, P(B|A). The second is that de Finetti's three-valued truth table has psychological reality for both types of conditional— true , false , or void for indicative conditionals and win , lose (...) , or void for conditional bets. The participants were presented with an array of chips in two different colours and two different shapes, and an indicative conditional or a conditional bet about a random chip. They had to make judgements in two conditions: either about the chances of making the indicative conditional true or false or about the chances of winning or losing the conditional bet. The observed distributions of responses in the two conditions were generally related to the conditional probability, supporting the first hypothesis. In addition, a majority of participants in further conditions chose the third option, “void”, when the antecedent of the conditional was false, supporting the second hypothesis. (shrink)

The representational theory of measurement has long been the central paradigm in the philosophy of measurement. Such is not the case anymore, partly under the influence of the critique according to which RTM offers too poor descriptions of the measurement procedures actually followed in science. This can be called the metrological critique of RTM. I claim that the critique is partly irrelevant. This is because, in general, RTM is not in the business of describing measurement procedures, be it in idealized (...) form. To support this claim, I present various cases where RTM can be said to investigate measurement without providing any measurement procedure. Such limit cases lead to a better understanding of the RTM project. They also illustrate some of the questions which the philosophy of measurement can explore, when it is ready to go beyond the metrological viewpoint. (shrink)

This paper focusses on the relationship among structural adjustment policies and practices, the business activities of transnational corporations and what Robert Reich has called the coming irrelevance of corporate nationality. The argument presented is that the force of these combined factors makes environmental sustainability impossible.

Fefermans argument is indeed convincing in a certain context, it can be dissolved entirely by modifying the context appropriately.

It is popular to hold that our primary epistemic access to specific response-dependent properties like the fearsome or admirable (or so-called ‘affective properties’) is constituted by the corresponding emotion. I argue that this view is incompatible with a widely held meta-ethical view, according to which affective properties have deontic force. More specifically, I argue that this view cannot accommodate for the requirement that deontic entities provide guidance. If affective properties are to guide the formation of the corresponding emotion, our primary (...) access to them cannot be provided by that same emotion. (shrink)

Chapitre méthodologique d'un livre co-écrit par Éliane Pons et J.-J. Pinto. Ce dernier, pour raisons professionnelles, n'avait indiqué son nom que dans cette partie intitulée "Esquisse d'une psychanalyse scientifique" (allusion respectueuse au titre de Freud "Esquisse d'une psychologie scientifique"), où se trouve expliquée en détail la méthode originale d'analyse de discours inventée et enseignée par lui : l'Analyse des Logiques Subjectives© (A.L.S.©).

According to a well-known view in the philosophy of mind, intentional attitudes by their very nature satisfy requirements of rationality (e.g. Davidson 1980; Dennett 1987; Millar 2004). This view (which I shall call Constitutivism) features prominently as the ‘principle of minimal rationality’ in de Sousa’s monograph The Rationality of Emotion (1987). By explicating this principle in terms of the notion of the formal object of an attitude, de Sousa articulates an interesting and original version of Constitutivism, which differs in important (...) respects from other extant versions. In this paper, I explore this version of Constitutivism against the background of recent developments in the theory of rationality and make explicit its ramifications for the long-standing dispute over whether the mind is essentially normative. My focus will be on how to conceive of the form of the rationality requirements that attitudes as such must satisfy according to this principle. I argue that, although de Sousa seems officially to endorse a structuralist conception of rationality, according to which these requirements are requirements of coherence, his considerations on formal objects suggest that they are more aptly conceived in terms of a reasons-responsive conception of rationality. I further argue that which of these two readings we choose makes a significant difference to the prospect of vindicating the essential normativity of mind by invoking the principle of minimal rationality. (shrink)

State-dependent utility is a problem for the behavioural branch of decision theory under uncertainty. It questions the very possibility that beliefs be revealed by choice data. According to the current literature, all models of beliefs are equally exposed to the problem. Moreover, the problem is solvable only when the decision-maker can influence the resolution of uncertainty. This article gives grounds to reject these two views. The various models of beliefs can be shown to be unequally exposed to the problem of (...) state-dependent utility. The problem can be argued to be solved even when the decision-maker has no influence over the resolution of uncertainty. The implications of such reappraisal for a philosophical appreciation of the revealed preference methodology are discussed. (shrink)

The Sure-Thing Principle famously appears in Savage’s axiomatization of Subjective Expected Utility. Yet Savage introduces it only as an informal, overarching dominance condition motivating his separability postulate P2 and his state-independence postulate P3. Once these axioms are introduced, by and large, he does not discuss the principle any more. In this note, we pick up the analysis of the Sure-Thing Principle where Savage left it. In particular, we show that each of P2 and P3 is equivalent to a dominance condition; (...) that they strengthen in different directions a common, basic dominance axiom; and that they can be explicitly combined in a unified dominance condition that is a candidate formal statement for the Sure-Thing Principle. Based on elementary proofs, our results shed light on some of the most fundamental properties of rational choice under uncertainty. In particular they imply, as corollaries, potential simplifications for Savage’s and the Anscombe- Aumann axiomatizations of Subjective Expected Utility. Most surprisingly perhaps, they reveal that in Savage’s axiomatization, P3 can be weakened to a natural strengthening of so-called Obvious Dominance. (shrink)

The paper challenges the assumption, common amongst philosophers, that the reality described in the fundamental theories of microphysics is all the reality we have. It will be argued that this assumption is in fact incompatible with the nature of such theories. It will be shown further that the macro-world of three-dimensional bodies and of such qualitative structures as colour and sound can be treated scientifically on its own terms, which is to say not only from the perspective of psychology but (...) also ontologically. A new sort of emergentist position will be defended, one which yields the basis of a method for describing the perceptually salient macroscopic world in mathematical terms. Broadly, it will be argued that the macroscopic world exists in virtue of certain specific sorts of boundary-patterns in the field of what is captured by the theories of microphysics. (shrink)

Based on the presentation of a research framework (the shared work of teachers), this text uses an empirical approach to examine the hypothesis of a co-elaboration of the professional situation. To do so, the empirical investigation, based on the Goffman framework, analyzes the process of reconstructing a teaching session (reference situation) over the course of a pedagogical counselling session (support situation) characterized by interaction between a beginning teacher and a trainer. The invalidation of the hypothesis leads to a suggested conceptualization (...) of the professional situation combining definitional approaches (emphasizing the duality between its singularity and its genericity) and methodological approaches. -/- A partir de la présentation d’un cadre de recherche (le travail partagé des enseignants), ce texte soumet à l’empirie l’hypothèse de la co-élaboration de la situation professionnelle. Pour ce faire, en s’appuyant sur le cadre de Goffman, l’enquête empirique analyse le processus de reconstruction d’une séance d’enseignement (situation de référence) au cours d’une séance de conseil pédagogique (situation support) caractérisée par l’interaction entre une enseignante débutante et un formateur. L’invalidation de l’hypothèse débouche sur une proposition de conceptualisation de la situation professionnelle qui combine des approches définitoires (insistant sur la dualité entre sa singularité et sa généricité) et méthodologiques. (shrink)

The Dominican theologian Durand of Saint-Pourçain (ca. 1275–1334), breaking from the wide consensus, made a two-pronged attack on concurrentism (i.e., the theory according to which God does more than conserving creatures in existence and co-causes all their actions). On the one hand, he shows that the concurrentist position leads to the unacceptable consequence that God is the direct cause of man’s evil actions. On the other hand, he attacks the metaphysical foundations of concurrentism, first in the version offered by Thomas (...) Aquinas and Giles of Rome, and then in a more general way. Against Thomas and Giles, he challenges Neoplatonic assumptions about causality and being. More generally, he establishes that God’s action and a creature’s action can be neither identical nor different, and thus cannot both be direct causes of the same effect. Without claiming that Durand’s series of objections are definitely unanswerable, we may at least observe that they have generally been underestimated (which earned him the lowly role of the mere foil of the concurrentist view in the history of philosophy) and are able to do considerable damage to concurrentism. (shrink)

It is widely assumed that emotions are evaluative. Moreover, many authors suppose that emotions are important or valuable as evaluations. According to the currently dominant version of cognitivism, emotions are evaluative insofar as they make us aware of value properties of their intentional objects. In attributing to emotions an epistemic role, this view conceives of them as epistemically valuable. In this paper, I argue that proponents of this account mischaracterize the evaluative character of emotions and, a fortiori, their value. Moreover, (...) I propose an alternative view of emotional evaluation, according to which emotions are practically rather than epistemically important. As I argue, emotions are ways of acknowledging their intentional objects as (dis)valuable. As such, they do not apprehend values but make them count. I elaborate this idea by drawing an analogy with legal and political sanctions. The resulting view has it that emotions are practically important in that they affirm the cares and concerns which serve as standards of emotional evaluation. (shrink)

A formalism is introduced to represent the connective organization of an evolving neuronal network and the effects of environment on this organization by stabilization or degeneration of labile synapses associated with functioning. Learning, or the acquisition of an associative property, is related to a characteristic variability of the connective organization: the interaction of the environment with the genetic program is printed as a particular pattern of such organization through neuronal functioning. An application of the theory to the development of the (...) neuromuscular junction is proposed and the basic selective aspect of learning emphasized. (shrink)

The aim of this paper is to clarify the role of category theory in the foundations of mathematics. There is a good deal of confusion surrounding this issue. A standard philosophical strategy in the face of a situation of this kind is to draw various distinctions and in this way show that the confusion rests on divergent conceptions of what the foundations of mathematics ought to be. This is the strategy adopted in the present paper. It is divided into 5 (...) sections. We first show that already in the set theoretical framework, there are different dimensions to the expression foundations of. We then explore these dimensions more thoroughly. After a very short discussion of the links between these dimensions, we move to some of the arguments presented for and against category theory in the foundational landscape. We end up on a more speculative note by examining the relationships between category theory and set theory. (shrink)

First recorded in the 14th century, the analogy of spit-roast meat argues that expecting the Sun to rotate around a strictly immobile Earth would be just as ludicrous as trying to move the fire around the roasting meat. On the contrary, it should be the Earth that spins upon itself in order to glean, from all possible angles, all the benefits of the Sun, just as it is the meat’s responsibility to turn on the spit before the motionless fire for (...) it to be perfectly cooked on all sides. Aimed at demonstrating, in geocentricism, the plausibility of the rotation of the Earth and, in heliocentrism, at supporting the physical reality of this terrestrial rotation, nowadays this analogy barely elicits more than an amused, or even condescending, smile. However, its continued long-term existence and its frequency of use — from the 14th to the 19th century, we found it mentioned by no less than 45 different authors — incited us to finally pay attention to it. We then noticed that beyond its explicitly cosmological scope, it raises, in its own way, the question of the purpose of the natural world: had the latter been conceived based upon humankind, then it is normal, despite what this analogy advocates, that the Sun is at the service of something more important than itself by rotating, to the profit of humankind, around the Earth; conversely, since such an infringement of the rule of common sense, as illustrated by this analogy, can neither be justified nor tolerated, it is up to the Earth to move around the Sun. Tracing the vicissitudes of this analogy, over 6 centuries, is thus not only about reconstructing the largely forgotten history of a presently obsolete analogy, but also about discovering the deeper meaning, henceforth incomprehensible, behind it. In describing how this meaning became progressively lost, one can finally pro­vide an understanding of why, in the present day, we are no longer capable of more than an amused smile when happening upon it! (shrink)

In this paper, I examine the decision-theoretic status of risk attitudes. I start by providing evidence showing that the risk attitude concepts do not play a major role in the axiomatic analysis of the classic models of decision-making under risk. This can be interpreted as reflecting the neutrality of these models between the possible risk attitudes. My central claim, however, is that such neutrality needs to be qualified and the axiomatic relevance of risk attitudes needs to be re-evaluated accordingly. Specifically, (...) I highlight the importance of the conditional variation and the strengthening of risk attitudes, and I explain why they establish the axiomatic significance of the risk attitude concepts. I also present several questions for future research regarding the strengthening of risk attitudes. (shrink)

In this paper, I introduce the idea that some important parts of contemporary pure mathematics are moving away from what I call the extensional point of view. More specifically, these fields are based on criteria of identity that are not extensional. After presenting a few cases, I concentrate on homotopy theory where the situation is particularly clear. Moreover, homotopy types are arguably fundamental entities of geometry, thus of a large portion of mathematics, and potentially to all mathematics, at least according (...) to some speculative research programs. (shrink)

I examine Bayle's infamous statement that Christian mysteries are not only "above" human reason, but are "against" it. I put it back in the context of 16th-17th century Reformed thought. I then discuss the relation between reason and faith according to Bayle.

Penelope Maddy’s Second Philosophy is one of the most well-known ap- proaches in recent philosophy of mathematics. She applies her second-philosophical method to analyze mathematical methodology by reconstructing historical cases in a setting of means-ends relations. However, outside of Maddy’s own work, this kind of methodological analysis has not yet been extensively used and analyzed. In the present work, we will make a first step in this direction. We develop a general framework that allows us to clarify the procedure and (...) aims of the Second Philosopher’s investigation into set-theoretic methodology; pro- vides a platform to analyze the Second Philosopher’s methods themselves; and can be applied to further questions in the philosophy of set theory. (shrink)

In this paper, we try to establish that some mathematical theories, like K-theory, homology, cohomology, homotopy theories, spectral sequences, modern Galois theory (in its various applications), representation theory and character theory, etc., should be thought of as (abstract) machines in the same way that there are (concrete) machines in the natural sciences. If this is correct, then many epistemological and ontological issues in the philosophy of mathematics are seen in a different light. We concentrate on one problem which immediately follows (...) the recognition of the particular status of these theories: the demarcation problem between ‘natural kinds’ and ‘artefacts’. (shrink)

There is a wide range of things we do out of emotion. For example, we smile with pleasure, our voices drop when we are sad, we recoil in shock or jump for joy, we apologize to others out of remorse. It is uncontroversial that some of these behaviors are actions. Clearly, apologizing is an action if anything is. Things seem less clear in the case of other emotional behaviors. Intuitively, the drop in a sad person’s voice is something that happens (...) to her, rather than something she actively performs. Perhaps more interestingly, even jumping for joy can seem a problematic case: although its execution involves the active performance of certain movements, it has been argued to contrast, e.g., with an act of apology, in that it is not performed in order to achieve some end, such as repairing a relationship. This can make this behavior seem considerably different from paradigm actions. Our central concern in this paper is with which emotional behaviors should be classed as actions and why... (shrink)