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)

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)

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)

Knowledge of the subject only ever speaks to the subject himself and of nothing more than the subject himself. And yet, when due to their mode of emergence, objects of this knowledge seem to occupy part of a space (whatever it may be) which would contain them, it is tempting for the subject to give this space the name of Reality. The conventional western philosophies (and science) gave in to this temptation. They came to distinguish the Subject {place-of-the-mind} from the (...) Reality {place-of-the-objects} whereas Reality is only the "objectified" or rather "objectivized" aspect of knowledge of the subject. From this artificial distinction followed a great confusion, a dispute that lasted for centuries, and still does, between different -isms with infinitesimal differences, from which the most influential parties emerge victorious each at his turn. In reaction to this confusion a "pivotal" re-orientation is suggested, considering the way objects of knowledge emerge and are organized, not in correlation with objects of Reality but with the subject for himself and knowledge for itself. For this re-orientation the OK proposes to transcend the subject's mind to reveal its logical principles. That's the specific subject I would like to delve into here : the transcendence of meaning. This is necessary for understanding the OK and could be beneficial to “mental health counseling”. (shrink)

The possibility of empirical test is discussed with respect to three issues: (1) What is the ontological relationship between consciousness and the brain/physical world? (2) What physical characteristics are associated with the mind/brain interface? (3) Can consciousness act on the brain independently of any brain process?

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)

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)

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...

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)

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)

The basic axioms or formal conditions of decision theory, especially the ordering condition put on preferences and the axioms underlying the expected utility formula, are subject to a number of counter-examples, some of which can be endowed with normative value and thus fall within the ambit of a philosophical reflection on practical rationality. Against such counter-examples, a defensive strategy has been developed which consists in redescribing the outcomes of the available options in such a way that the threatened axioms or (...) conditions continue to hold. We examine how this strategy performs in three major cases: Sen's counterexamples to the binariness property of preferences, the Allais paradox of EU theory under risk, and the Ellsberg paradox of EU theory under uncertainty. We find that the strategy typically proves to be lacking in several major respects, suffering from logical triviality, incompleteness, and theoretical insularity. To give the strategy more structure, philosophers have developed “principles of individuation”; but we observe that these do not address the aforementioned defects. Instead, we propose the method of checking whether the strategy can overcome its typical defects once it is given a proper theoretical expansion. We find that the strategy passes the test imperfectly in Sen's case and not at all in Allais's. In Ellsberg's case, however, it comes close to meeting our requirement. But even the analysis of this more promising application suggests that the strategy ought to address the decision problem as a whole, rather than just the outcomes, and that it should extend its revision process to the very statements it is meant to protect. Thus, by and large, the same cautionary tale against redescription practices runs through the analysis of all three cases. A more general lesson, simply put, is that there is no easy way out from the paradoxes of decision theory. (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)

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)

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)

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)

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)

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)

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)

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)

Structuralism has recently moved center stage in philosophy of mathematics. One of the issues discussed is the underlying logic of mathematical structuralism. In this paper, I want to look at the dual question, namely the underlying structures of logic. Indeed, from a mathematical structuralist standpoint, it makes perfect sense to try to identify the abstract structures underlying logic. We claim that one answer to this question is provided by categorical logic. In fact, we claim that the latter can be seen—and (...) probably should be seen—as being a structuralist approach to logic and it is from this angle that categorical logic is best understood. (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)

Original title : 「ドガの『舞姫』」『深田康算全集』[Œuvres complètes de Fukada Yasukazu]. Machida, Tamagawa Daigaku Shuppanbu, 1972–1973, 3 : 9–15.

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)

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.©).

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.

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)

This note considers the conceptual part of Sen’s «Internal Consistency of Choice». Amongst the various claims this paper features, two are singled out. A first, negative, claim is that no formal condition of choice consistency is normatively compelling without exception. A second, positive, claim, is that a formal condition of choice consistency is normatively compelling only under some assumptions involving preference. Here, the puzzling choices Sen puts forward are scrutinized and it is argued that such a scrutiny leads to question (...) the negative claim, but in a subtle way, so that the positive claim is comforted, even strengthened. -/- Cette note examine la partie conceptuelle d’un article de Sen, «Internal Consistency of Choice». Elle isole deux thèses parmi celles que Sen défend. Une première, négative, est qu’aucune condition formelle de cohérence du choix n’est normativement valable sans exception. Une seconde, positive, est qu’une condition formelle de cohérence du choix n’est normativement valable que sous des suppositions faisant intervenir la préférence. Nous procédons à une analyse détaillée des choix énigmatiques dont Sen prend argument et affirmons que cet examen mène à remettre en cause la thèse négative, mais d’une manière subtile qui confirme — même renforce — la thèse positive. (shrink)

Dans un texte désormais célèbre, Ferdinand de Saussure insiste sur l’arbitraire du signe dont il vante les qualités. Toutefois il s’avère que le symbole, signe non arbitraire, dans la mesure où il existe un rapport entre ce qui représente et ce qui est représenté, joue un rôle fondamental dans la plupart des activités humaines, qu’elles soient scientifiques, artistiques ou religieuses. C’est cette dimension symbolique, sa portée, son fonctionnement et sa signification dans des domaines aussi variés que la chimie, la théologie, (...) les mathématiques, le code de la route et bien d’autres qui est l’objet du livre La Pointure du symbole. -/- Jean-Yves Béziau, franco-suisse, est docteur en logique mathématique et docteur en philosophie. Il a poursuivi des recherches en France, au Brésil, en Suisse, aux États-Unis (UCLA et Stanford), en Pologne et développé la logique universelle. Éditeur-en-chef de la revue Logica Universalis et de la collection Studies in Universal Logic (Springer), il est actuellement professeur à l’Université Fédérale de Rio de Janeiro et membre de l’Académie brésilienne de Philosophie. SOMMAIRE -/- PRÉFACE L’arbitraire du signe face à la puissance du symbole Jean-Yves BÉZIAU La logique et la théorie de la notation (sémiotique) de Peirce (Traduit de l’anglais par Jean-Marie Chevalier) Irving H. ANELLIS Langage symbolique de Genèse 2-3 Lytta BASSET -/- Mécanique quantique : quelle réalité derrière les symboles ? Hans BECK -/- Quels langages et images pour représenter le corps humain ? Sarah CARVALLO Des jeux symboliques aux rituels collectifs. Quelques apports de la psychologie du développement à l’étude du symbolisme Fabrice CLÉMENT Les panneaux de signalisation (Traduit de l’anglais par Fabien Shang) Robert DEWAR Remarques sur l’émergence des activités symboliques Jean LASSÈGUE Les illustrations du "Songe de Poliphile" (1499). Notule sur les hiéroglyphes de Francesca Colonna Pierre-Alain MARIAUX Signes de vie Jeremy NARBY Visualising relations in society and economics. Otto Neuraths Isotype-method against the background of his economic thought Elisabeth NEMETH Algèbre et logique symboliques : arbitraire du signe et langage formel Marie-José DURAND – Amirouche MOKTEFI Les symboles mathématiques, signes du Ciel Jean-Claude PONT La mathématique : un langage mathématique ? Alain M. ROBERT. (shrink)

Physical reality is all the reality we have, and so physical theory in the standard sense is all the ontology we need. This, at least, was an assumption taken almost universally for granted by the advocates of exact philosophy for much of the present century. Every event, it was held, is a physical event, and all structure in reality is physical structure. The grip of this assumption has perhaps been gradually weakened in recent years as far as the sciences of (...) mind are concerned. When it comes to the sciences of external reality, however, it continues to hold sway, so that contemporary philosophers B even while devoting vast amounts of attention to the language we use in describing the world of everyday experience B still refuse to see this world as being itself a proper object of theoretical concern. Here, however, we shall argue that the usual conception of physical reality as constituting a unique bedrock of objectivity reflects a rather archaic view as to the nature of physics itself and is in fact incompatible with the development of the discipline since Newton. More specifically, we shall seek to show that the world of qualitative structures, for example of colour and sound, or the commonsense world of coloured and sounding things, can be treated scientifically (ontologically) on its own terms, and that such a treatment can help us better to understand the structures both of physical reality and of cognition. (shrink)

It is widely held that under ordinal utility, utility differences are ill-defined. Allegedly, for these to be well-defined (without turning to choice under risk or the like), one should adopt as a new kind of primitive quaternary relations, instead of the traditional binary relations underlying ordinal utility functions. Correlatively, it is also widely held that the key structural properties of quaternary relations are entirely arbitrary from an ordinal point of view. These properties would be, in a nutshell, the hallmark of (...) cardinal utility. While much is obviously true in these two tenets, this note explains why, as stated, they should be abandoned. Any ordinal utility function induces a rich quaternary relation. There is such a thing as ordinal utility differences. Furthermore, this induced quaternary relation respects, apart from completeness, the most standard structural properties of quaternary relations. These properties are, from an ordinal point of view, anything but arbitrary; from a quaternary perspective only completeness should be considered the hallmark—if any—of cardinal utility. These facts are explained to be especially relevant to the critical appreciation of the ordinalist methodology. (shrink)

In this paper, we look at Bourbaki’s work as a case study for the notion of mathematical style. We argue that indeed Bourbaki exemplifies a mathematical style, namely the structuralist style.

This paper explores the origins of the term "causa sine qua non" used by Durand de Saint-Pourçain to describe the role of material things in knowledge. I show that its technical meaning comes from the Stoics and was transmitted to the Middle Ages by Boethius' commentary on Cicero's Topics. The expression "sine qua non" here does not have the ordinary and restricted meaning of "indispensable", "necessary condition", which can also apply to direct, per se causes of an effect. In the (...) present context, sine qua non causes do not act on the effect in question, either as concomitant, secondary, or instrumental causes, or as remote causes. They act only on that which hinders the actualization of a potentiality, in order to remove that obstacle. For example, the removal of a support that prevented something from falling does not act on that thing, nor does it add anything to its tendency to fall; it simply enables that thing to exercise its own actualization. Similarly, in cognitive processes, external things do not impose anything on the soul, but simply give it the opportunity to actualize its faculties of its own accord. I situate Durand's use of this form of causality in the context of late 13th/early 14th century theories of cognition, among several other attempts to find an alternative theory to the standard Aristotelian model and to maintain the pure activity of the soul with respect to the body. (shrink)

Since the death of Jacques Lacan, Jean Laplanche is now considered to be one of the worlds foremost psychoanalytic thinkers. In spite of the influence of his work over the last thirty years, remarkably little has been available in English. Essays On Otherness presents for the first time in English many of Laplanche's key essays and is the first book to provide an overview of his thinking. It offers an introduction to many of the key themes that characterise his (...) work: seduction, persecution, revelation, masochism, transference and mourning. Such themes have been increasingly both in psychoanalytic thought and in continental philosophy, social and cultural theory, and literature making Essays On Otherness indispensable reading for all those concerned with the implications of psychoanalytic theory today. (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 lyrical meditation on listening, Jean-Luc Nancy examines sound in relation to the human body. How is listening different from hearing? What does listening entail? How does what is heard differ from what is seen? Can philosophy even address listening, écouter, as opposed to entendre, which means both hearing and understanding? Unlike the visual arts, sound produces effects that persist long after it has stopped. The body, Nancy says, is itself like an echo chamber, responding to music by (...) inner vibrations as well as outer attentiveness. Since “the ear has no eyelid” (Quignard), sound cannot be blocked out or ignored: our whole being is involved in listening, just as it is involved in interpreting what it hears. The mystery of music and of its effects on the listener is subtly examined. Nancy’s skill as a philosopher is to bring the reader companionably along with him as he examines these fresh and vital questions; by the end of the book the reader feels as if listening very carefully to a person talking quietly, close to the ear. (shrink)

In this paper, I examine the problem of Bayle's skepticism. I show that he is not a wholesale skeptic. Rather, he thinks that reason is plagued by internal conflicts. But its principles, which clash with each other, can be adopted separately from each other. It is often what we have to do when dealing with metaphysical problems. This also entails that reason is not to be rejected as a whole when it happens to be contradicted by faith; only some of (...) its principles have to be denied, and solely in that case. Further, Bayle believes that we possess absolute certainly in our knowledge of ethical principles. I show how this is compatible with his relativism in other domains by putting back his contention in the context of Reformed thought. (shrink)

We investigate risk attitudes when the underlying domain of payoffs is finite and the payoffs are, in general, not numerical. In such cases, the traditional notions of absolute risk attitudes, that are designed for convex domains of numerical payoffs, are not applicable. We introduce comparative notions of weak and strong risk attitudes that remain applicable. We examine how they are characterized within the rank-dependent utility model, thus including expected utility as a special case. In particular, we characterize strong comparative risk (...) aversion under rank-dependent utility. This is our main result. From this and other findings, we draw two novel conclusions. First, under expected utility, weak and strong comparative risk aversion are characterized by the same condition over finite domains. By contrast, such is not the case under non-expected utility. Second, under expected utility, weak comparative risk aversion is characterized by the same condition when the utility functions have finite range and when they have convex range. By contrast, such is not the case under non-expected utility. Thus, considering comparative risk aversion over finite domains leads to a better understanding of the divide between expected and non-expected utility, more generally, the structural properties of the main models of decision-making under risk. (shrink)

I first explain the scholastic (Scotist) thesis on the independence of essences Bayle alludes to in the passage of the Continuation des Pensée Diverses where he presents the Stratonicians' and the Chinese philosophers' retorsion. Then, I show that this retorsion applies to the argument of the existence of God based on "aseity", but not to the occasionalist argument based on the "quod nescis" principle. I conclude that materialism (the "Stratonician hypothesis") cannot be, for Bayle, a satisfying system.

Consider a subjective expected utility preference relation. It is usually held that the representations which this relation admits differ only in one respect, namely, the possible scales for the measurement of utility. In this paper, I discuss the fact that there are, metaphorically speaking, two additional dimensions along which infinitely many more admissible representations can be found. The first additional dimension is that of state-dependence. The second—and, in this context, much lesser-known—additional dimension is that of act-dependence. The simplest implication of (...) their usually neglected existence is that the standard axiomatizations of subjective expected utility fail to provide the measurement of subjective probability with satisfactory behavioral foundations. (shrink)

Ludwig Feuerbach is famous for his critical hermeneutics of religion. At the heart of it lie arguments of philosophical anthropology that directly anticipate contemporary developments in the theory of recognition. He counts amongst the great philosophers who, immediately following Kant, emphasised the constitutive importance for human beings of interpersonal and social relations. Indeed, his theory of intersubjectivity contains features that are highly original, notably the link between individual and community, and between recognition and recollection.

How to reconcile monadic simplicity with the successive plurality of the monadic states ? The doctrine of continued creation seems to entail the existence of independent temporal parts and thus lead to the thesis that the world contains only transitory things. I try to show how Leibniz has the resources to get out of this quandary. The analysis of the concept of extension shows that a plurality of states does not constitute a divisible aggregate. Then I examine the Leibnizian interpretation (...) of continued creation, by com- paring it to the scholastic and Cartesian Background. From thence I conclude that Leibniz’s final thesis is that monads are wholly present at each moment of their duration. (shrink)