In what is quite possibly the most famous passage of the De revolutionibus, Copernicus implies that nobody could ever place this supreme flaming torch that is the Sun in another or better place than that from which it can illuminate everything simultaneously, namely the centre of this extremely beautiful temple that is our world. Considering the fact that he leaves an interrogatory twist to this argument of convenience, and since he makes this statement without any justification as it seems entirely (...) evident to him, certain Copernicans choose to illustrate this by means of an analogy: if indeed the Sun must be positioned thus, it is because the most appropriate place for the torch intended to illuminate the room is at its centre, and not in one of its corners. Despite the heliosophy of the Renaissance having been shared by both geocentrists and Copernicans alike, this "torch" argument does not appear to have achieved much success: rarely adopted by the Copernican camp, it was even contested by some of them; as for the geocentrists, it held no appeal for them whatsoever. Did this argument of convenience therefore not benefit from the self-evidence attributed to it by Copernicus, and from, in his wake, it's continued support by a good many commentators? As is often the case when it comes to the history of thought, the pseudo-obviousness of this argument is merely the fruit of a blatant anachronism: presenting heliocentrism as the cosmological system that finally grants the Sun its worthy centrality by placing it in the centre of the room and not in a corner, is to ignore the fact that this star of the day already enjoyed, in geocentrism, a centrality esteemed to be perfectly in keeping with both its dignity and its inherent illuminative function. Having lost their grasp on this worldview that no longer belonged to them, the Copernicans thus put forward an argument which, for the geocentrists, is worthless. Yet they could have argued the objective superiority of their centrality over that accorded to the Sun by geocentrism: while the latter is only numerical, on a purely planetary scale, and frankly fictitious, the former is thoroughly spatial, of cosmic proportions and, at least on first approximation, very real. In order to produce arguments of convenience that could carry their own weight, the protagonists of the new cosmology would have benefited from getting to know the world vision of their adversaries a little better instead of addressing them from their own point of view; similarly, instead of treating as an obvious fact that which is only evident to one of the two parties present, historians of scientific thought would also be well advised to have a better understanding of the world vision of those who history now considers as the losers! (shrink)

This article proposes, firstly, a general study of the ideological positioning of the Société scientifique de Bruxelles during the first forty years of its existence by means of a detailed reconstruction of its programme, and, secondly, a specific account of its situation within the alternative represented by the Intransigent and Progressive Catholic camps. In order to achieve this objective, it favours the motto of the Société and the figure of its second Secretary, namely Paul Mansion, basing itself primarily on a (...) corpus of texts consisting of his annual reports and those of his predecessor, Father Carbonnelle. While taking particular care in identifying that which, following the Roman injunction in 1890, might have differentiated Mansion’s mandate from Carbonnelle’s, it offers to test the hypothesis that this difference lies, not only in a more favourable attitude towards neo-Thomism, but also in the transition from an intransigent apologetics to a more balanced apologetics. (shrink)

Is logic empirical? Is logic to be found in the world? Or is logic rather a convention, a product of conventions, part of the many rules that regulate the language game? Answers fall in either camp. We like the linguistic answer. In this paper, we want to analyze how a linguistic community would tackle the problem of developing a logic and show how the linguistic conventions adopted by the community determine the properties of the local logic. Then show how (...) to move from a notion of logic that varies from community to community to a notion of logic that is in a sense universal. The framework is conventional up to a point: we have sentences, atomic and composite, the connectives are interpreted, values are computed, and the value of a composite sentence is a function of the values of its subsentences. Less conventional is the use of a plurality of truth values, and the sharp distinction we draw between sentences and statements, in the spirit of the distinction between proposition and judgment that one may find in proof theory. The linguistic community will face many choices. What are the good ones, the ones to avoid? Are there, in some sense, optimal choices? These are the kind of issues we are addressing. Where do we end up? With some kind of universal bivalent logic, ironically enough. We start from an arbitrarily large number of truth values, atomic sentences and connectives, construct a generic many-valued logic, recover more or less the usual results and issues, and in the end it all comes down to a positive bivalent logic with two connectives, `and' and `or', as if logic is nothing more than a mere accounting of possibilities. (shrink)

(Spanish) RESUMEN: La libertad absoluta postulada por Viktor Emil Frankl y Jean-Paul Sartre, la Shoah y la creencia en un dios omnipotente, bueno y justo parecen contradecirse. La pregunta por el sentido del sufrimiento de las víctimas del Holocausto (la verdadera catástrofe, el mayor crimen contra la humanidad), simbolizado por Auschwitz, y como punto de inflexión en la historia, es terriblemente dolorosa y parece no tener una respuesta filosófica ni teológica. A mi juicio, es importantísimo distinguir entre las víctimas (...) inocentes de la Shoah que perecieron y las víctimas inocentes que sufrieron un verdadero infierno y perdieron a sus seres queridos, pero que lograron sobrevivir. Ambas son víctimas, por supuesto, pero así como encontrarle un posible sentido al sufrimiento de las víctimas masacradas y gaseadas podría suponer un insulto a su sufrimiento y agonía –en especial, al horror que sufrieron los niños–, el horrible sufrimiento de los supervivientes pudo dar, tal vez, de alguna manera, un sentido a sus vidas después de la liberación de los campos de concentración y exterminio, ya fuera como voz, como protesta o como simple supervivencia. Frankl apuesta por un sentido último (que abraza el sentido del sufrimiento de las víctimas), y Sartre, aunque parezca no apostar por sentido alguno, volcó su vida al compromiso político después de la Segunda Guerra Mundial, y ello parece vislumbrar una minúscula pizca de sentido después de la barbarie. La filosofía de Frankl es un sí a la vida incluso en las situaciones más extremas, un grito casi nietzscheano que exalta el valor de la vida más allá de cualquier sufrimiento. Frankl, padre de la logoterapia y superviviente del Holocausto, abre una puerta a Dios al hablar de un dios inconsciente, una dimensión suprahumana y una fe incondicional, y define la religión como espiritualidad y como la búsqueda del hombre por el sentido último. Según Frankl, la libertad no se contradice con Dios, y la religión existe no a raíz de la barbarie, sino a pesar de la barbarie. El existencialismo sartreano es una filosofía de la libertad radical y de la responsabilidad. El hombre está condenado a ser libre. El ser humano es un ser en el que la existencia precede a la esencia. Somos totalmente responsables de lo que somos. Sartre afirma que la libertad humana es incompatible con Dios. En un mundo sin Dios, la moral la construyen los hombres, con sus propias decisiones y sus acciones, y la existencia y el sufrimiento de las víctimas no tienen sentido alguno. Sartre define al hombre como libertad, responsabilidad, angustia y contingencia. Frankl define al hombre como libertad, responsabilidad, espiritualidad y búsqueda de sentido. Con esta tesis me propongo entrar en la resbaladiza dimensión del dolor, la desesperación, el sentido y sinsentido del sufrimiento de las víctimas (teniendo presente los horrores de Auschwitz, que en teología y filosofía ha simbolizado desde la liberación de los campos la muerte de Dios y la muerte de la moral). Es verdad que no solo los hombres, mujeres y niños judíos fueron víctimas de la barbarie alemana, pero, como reza el mensaje de Elie Wiesel en la exposición permanente del Block 27 del Auschwitz-Birkeanu State Museum: "Not all victims were Jewish in this place, but all Jews were victims". La Shoah no es un episodio dentro de la Segunda Guerra Mundial, sino un punto de inflexión en la historia de la humanidad, y es una catástrofe que nos concierne a todos, hombres y mujeres judíos y no judíos, religiosos e irreligiosos, creyentes e increyentes, como seres libres, responsables y morales que somos –o que deberíamos ser. Muchas de las víctimas del Holocausto, en medio de la desesperación, entraron en las cámaras de gas orando, aferrándose a la esperanza de que ese final espeluznante no era un punto final. Con esta tesis no me propongo de ninguna manera responder a la eterna pregunta de si Dios existe o no, sino que propongo interpretar ese grito hacia Dios como un desesperado anhelo de esperanza. También me propongo encontrar una coherencia en las posturas de estos dos grandes pensadores para quienes la libertad y la responsabilidad definen al hombre: Frankl (quien apuesta por una dimensión suprahumana donde existe un sentido último en el que el sufrimiento de las víctimas tiene que tener algún sentido, aunque ese sentido sea completamente incomprensible en la dimensión humana) y Sartre (el existencialista ateo por excelencia, para quien el mundo, la existencia y el sufrimiento son absolutamente contingentes). En el primer capítulo expongo la logoterapia y el existencialismo sartreano: describo las tres dimensiones del hombre y las tres búsquedas de sentido propuestas por Frankl, y expongo las cinco consecuencias de "l'existence précède l'essence", centrándome en la libertad y la responsabilidad, y hablo del suicidio. El segundo capítulo está dedicado al dios inconsciente frankleano, la dimensión suprahumana, la búsqueda por el sentido último y la fe incondicional. En el tercer capítulo ilustro la libertad sin Dios sartreana, la ontología sartreana, el ateísmo sartreano y el humanismo sartreano, y hablo sobre la responsabilidad, la mauvaise foi, la contingencia, la situation y la angustia. El cuarto capítulo es necesariamente histórico (sin dejar de ser filosófico): me pregunto por la muerte de Dios después de Auschwitz, argumento y defiendo la unicidad del Holocausto (la Shoah es un punto de inflexión en la historia de la humanidad), describo las masacres antes de los campos de exterminio (Einsatzgruppen, Ordnungspolizei y Wehrmacht), el gigantesco complejo de Auschwitz (Stammlager, Auschwitz-Birkenau y Monowitz-Buna), reflexiono sobre Dios y el mal (centrándome en los niños de Auschwitz), describo los días de Frankl en Auschwitz, hablo de Dios como esperanza, de la inmortalidad y la escatología, de la crueldad de Dios, de la relación entre el cristianismo y el antisemitismo, del islam y el antisemitismo, critico el silencio de Dios, hablo de la muerte de Dios y del juicio contra Dios. En el quinto capítulo expongo la moral frankleana (una moral que atañe al hombre y no a Dios), basándome en su teoría del amor y en su única obra de teatro (Synchronisation in Binkerwald), y la moral sartreana (una moral que atañe a una humanidad sin Dios), recordando a Dostoyevsky, analizando la famosa cita de Garcin en Huis clos "L'enfer, c'est les Autres", criticando el marxismo de Sartre y cuestionando (con la mirada de Frankl y Sartre) el verso de Brecht "Erst kommt das Fressen, dann kommt die Moral"; al final del capítulo incluyo una reflexión propia y las críticas frankleana y sartreana sobre la impunidad de los verdugos y colaboradores después del Holocausto (con el permiso de Dios). Después de la Conclusión, añado un Apéndice sobre las vidas de Frankl y Sartre, para poder entender mejor su obra. PALABRAS CLAVE: logoterapia, existencialismo sartreano, búsqueda de sentido, libertad, responsabilidad, moral, angustia, sufrimiento, supervivientes, víctimas, contingencia, espiritualidad, religión, Dios, esperanza, antisemitismo, culpa, Auschwitz, Holocausto, Shoah. /// (English) ABSTRACT: The absolute freedom defended by Viktor Emil Frankl and Jean-Paul Sartre, the Shoah and the belief in an omnipotent, benevolent and just God seem to contradict each other. The question of the meaning of the victims' suffering of the Holocaust (the true catastrophe, the biggest crime against humanity), simbolised by Auschwitz and as a turning point in History, is terribly painful and doesn't seem to have an answer. In my opinion, it's crucial to distinguish between the innocent victims of the Shoah who perished and the innocent victims who sufferend a real hell and lost their loved ones, but managed to survive. Both are victims, of course, but just as finding a possible meaning to the suffering of the massacred and gassed victims could result in an insult to their suffering and agony –especially to the horror that the children suffered– the gigantic suffering of the survivors could, maybe, somehow, give a meaning to their lives after the liberation of the concentration and extermination camps, either as a voice, as a protest, or as a simple survival. Frankl believes in an ultimate meaning (that embraces the meaning of the victims' suffering), and Sartre, even if it appears not to embrace any meaning, turned his life to political engagement after War World II, and that attitude seems to give a tiny glimpse of meaning after the barbarity. Frankl's philosophy says yes to life even in the most extreme situations, and it's a Nietzschean-like scream that exalts the value of life beyond any monstrous suffering. Frankl, the father of logotherapy and a Holocaust survivor, opens a door to God when he talks about an unconscious God, a supra-human dimension and an unconditional faith; he defines religion as spirituality and as man's search for ultimate meaning. According to Frankl, freedom is not contradictory with God, and religion exists not because of the barbarity but in spite of the barbarity. Sartrean existentialism is a philosophy of radical freedom and responsibility. Men are condemned to be free. We are beings where the existence precedes the essence. We are completely responsible of what we are. Sartre argues that human freedom is incompatible with God. In a godless world, morality is constructed by people, with their own choices and actions, and human existence and the suffering of the victims don't have any meaning. Sartre defines man as freedom, responsibility, Angst and contingency. Frankl defines man as freedom, responsibility, spirituality and search for meaning. With this dissertation I attempt to enter in the slippery dimension of the pain, despair, meaning and meaninglessness of the victims' suffering (having in mind the horrors of Auschwitz, that in theology and in philosophy have simbolised, since the liberation of the camps, the death of God and the death of morality). It's true that not only Jewish men, women and children were victims of the German barbarity, but, as Elie Wiesel's message from the permanent exhibition from Block 27 of the Auschwitz-Birkeanu State Museum reads: "Not all victims were Jewish in this place, but all Jews were victims". The Shoah is not an episode inside War World II, but a turning point in the history of humankind, and a catastrophe that embraces us all, Jewish and not not Jewish men and women, religious and not religious, believers and not believers, as the free, responsible and moral beings that we all are –or that we should be. A lot of the victims, in the midst of their desperation, entered into the gas chambers praying, holding to the hope that their horrifying end was not the ultimate end. With this dissertation I do not attempt to answer the eternal question of the existence of God, rather, I will try to interpret that scream to God as a longing for hope. I also intend to find a coherence between the thought of these two great thinkers for whom freedom and responsibilty define man: Frankl (who argues that there is a suprahuman dimension where an ultimate meaning exists and where the victims' suffering has to have a meaning, even if this meaning is completely incomprehensible in the human dimension) and Sartre (the atheist existentialist par excellence, for whom the world, human existence and suffering are absolutely contingent). In the first chapter I expose logotherapy and Sartrean existentialism: I describe the three dimensions of man, the three searches for meaning, the five consequences of "l'existence précède l'essence" and I speak about suicide. The second chapter delves into the unconscious God, the supra-human dimension, the ultimate meaning and the unconditional faith. In the third chapter I expose the freedom without God defended by Sartre, Sartre's ontology, Sartre's atheism, Sartre's humanism, and his ideas about responsibility, mauvaise foi, contingency, situation, and Angst. The fourth chapter is necessarily historical (while being philosophical too): I wonder about the death of God after Auschwitz, I argue and defend the uniqueness of the Holocaust (the Shoah is a turning point in the history of humankind), I describe the massacres before the extermination camps (Einsatzgruppen, Ordnungspolizei y Wehrmacht), the gigantic Auschwitz camp complex (Stammlager, Auschwitz-Birkenau y Monowitz-Buna), I reflect on God and evil (focusing on the children of Auschwitz), I describe Frankl's days in Auschwitz, I talk about God as hope, about immortality and escathology, I discuss God's cruelty, the relationship between Christianity and antisemitism and Islam and antisemitism, I question the silence of God, and I talk about the death of God and about the trial against God. In the fifth chapter I talk about the Franklean morality (a morality that concerns man and not God), on the basis of his love theory and his only work of theater (Synchronisation in Binkerwald), and the Sartrean morality (a morality that concerns a humanity without God), remembering Dostoyevsky, analysing Garcin's famous quote in Huis clos "L'enfer, c'est les Autres", crticizing Sartre's marxism and questioning (with Frankl's and Sartre's eyes) Brecht's verse "Erst kommt das Fressen, dann kommt die Moral"; at the end of the chapter I include my own reflection (and Frankl and Sartre's critique) about the impunity of the executioners and collaborators after the Holocaust (with God's permission). After the Conclusion, I add an Appendix about the lives of Frankl and Sartre, which helps understanding better their work. KEYWORDS: logotherapy, existentialism, search for meaning, freedom, responsibility, morality, Angst, suffering, survivors, victims, contingency, spirituality, religion, God, hope, antisemitism, guilt, Auschwitz, Holocaust, Shoah. (shrink)

In this essay, I discuss in detail two of the earliest such documentaries: Death Mills (1945), directed by Billy Wilder; and Nazi Concentration Camps (1945), directed by George Stevens. Both film-makers were able to get direct footage of the newly-liberated concentration camps from the U.S. Army. Wilder served as a Colonel in the U.S. Army’s Psychological Warfare department in 1945 and was tasked with producing a documentary on the death camps as well as helping to restart Germany’s film industry. I (...) next review the great French Holocaust documentary Night and Fog (1955), directed by Alain Resnais. This was a widely acclaimed film, winning the Prix Jean Vigo in 1956. Resnais employed a camp survivor (Jean Cayrol) to write the dialogue, and it is powerful, indeed, truly lyrical in places. The last film I review in the essay is a generally overlooked British Thames Television documentary, Genocide: 1941-1945 (1974), directed by Michael Darlow (and narrated by Sir Laurence Oliver). It was the first of the major Holocaust documentaries to focus on the point that the Nazi genocide targeted first and foremost the Jewish people, and to explore the development of Nazi racial theory, and the rise of the SS. (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)

Mobsters and others engaged in risky forms of social coordination and coercion often communicate by saying something that is overtly innocuous but transmits another message ‘off record’. In both ordinary conversation and political discourse, insinuation and other forms of indirection, like joking, offer significant protection from liability. However, they do not confer blanket immunity: speakers can be held to account for an ‘off record’ message, if the only reasonable interpreta- tions of their utterance involve a commitment to it. Legal liability (...) for speech in the service of criminal behavior displays a similar profile of significant protection from indirection along with potential liability for reasonable interpretations. Specifically, in both ordinary and legal contexts, liability depends on how a reasonable speaker would expect a reasonable hearer to interpret their utterance in the context of utter- ance, rather than on the actual speaker’s claimed communicative intentions. (shrink)

One of the key features of modern mathematics is the adoption of the abstract method. Our goal in this paper is to propose an explication of that method that is rooted in the history of the subject.

Scientists use models to know the world. It i susually assumed that mathematicians doing pure mathematics do not. Mathematicians doing pure mathematics prove theorems about mathematical entities like sets, numbers, geometric figures, spaces, etc., they compute various functions and solve equations. In this paper, I want to exhibit models build by mathematicians to study the fundamental components of spaces and, more generally, of mathematical forms. I focus on one area of mathematics where models occupy a central role, namely homotopy theory. (...) I argue that mathematicians introduce genuine models and I offer a rough classification of these models. (shrink)

We introduce an independence notion for choice functions, which we call ‘epistemic independence’ following the work by De Cooman et al. [17] for lower previsions, and study it in a multivariate setting. This work is a continuation of earlier work of one of the authors [29], and our results build on the characterization of choice functions in terms of sets of binary preferences recently established by De Bock and De Cooman [11]. We obtain the many-to-one independent natural extension in this (...) framework. Given the generality of choice functions, our expression for the independent natural extension is the most general one we are aware of, and we show how it implies the independent natural extension for sets of desirable gambles, and therefore also for less expressive imprecise-probabilistic models. Once this is in place, we compare this concept of epistemic independence to another independence concept for choice functions proposed by Seidenfeld [28], which De Bock and De Cooman [2] have called S-independence. We show that neither is more general than the other. (shrink)

We study the representation of sets of desirable gambles by sets of probability mass functions. Sets of desirable gambles are a very general uncertainty model, that may be non-Archimedean, and therefore not representable by a set of probability mass functions. Recently, Cozman (2018) has shown that imposing the additional requirement of even convexity on sets of desirable gambles guarantees that they are representable by a set of probability mass functions. Already more that 20 years earlier, Seidenfeld et al. (1995) gave (...) an axiomatisation of binary preferences—on horse lotteries, rather than on gambles—that also leads to a unique representation in terms of sets of probability mass functions. To reach this goal, they use two devices, which we will call ‘SSK–Archimedeanity’ and ‘SSK–extension’. In this paper, we will make the arguments of Seidenfeld et al. (1995) explicit in the language of gambles, and show how their ideas imply even convexity and allow for conservative reasoning with evenly convex sets of desirable gambles, by deriving an equivalence between the SSK–Archimedean natural extension, the SSK–extension, and the evenly convex natural extension. (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...

ROUDAUT (François) & STOFFEL (Jean-François), Avant-propos (pp. 371-372). BLAY (Michel), Soleil de Copernic et soleil de Galilée (pp. 373-389). MEHL (Édouard), Le Soleil au cinquième concile du Latran (1512-1516) : Copernic et la réforme du calendrier julien (pp. 391-408). STOFFEL (Jean-François), «Qui choisirait de poser ce flambeau dans un lieu autre ou meilleur que celui d’où il peut illuminer le tout simultanément ?»: examen de la pertinence d’un argument copernicien de convenance (pp. 409-458). ROUDAUT (François), Le Soleil chez (...) quelques lexicographes et vulgarisateurs (pp. 459-485). CÉARD (Jean), Le Soleil selon les physiciens de la Renaissance (pp. 487-498). MÉNAGER (Daniel), Le soleil dans les fêtes de cour sous les derniers Valois (pp. 499-510). SEIDENGART (Jean), La parenté du Soleil et des étoiles fixes dans la cosmologie de Giordano Bruno (pp. 511-529). ŠPELDA (Daniel), Les soleils et leurs observateurs au XVIIe siècle (pp. 531-577). MELLINGHOFF-BOURGERIE (Viviane), Connivences héliologiques entre théologie et astronomie chez François de Sales et Bérulle: le cas du barnabite Redento Baranzano (pp. 579-610). NEJESCHLEBA (Tomáš), De la métaphysique de la lumière à l’héliocentrisme: la vision du Soleil selon Valérien Magni (pp. 611-627). Les auteurs (pp. 629-630). (shrink)

BEN ALI (Souad) – STOFFEL (Jean-François), Présentation (pp. 5-6). STOFFEL (Jean-François), Introduction (pp. 7-13). BEN ALI (Souad), Aux origines de l’épistémologie historique: un retour à Pierre Duhem est-il justifiable ? (pp. 15-57). BORDONI (Stefano), De Cournot à Duhem: la naissance d’une tradition critique (pp. 59-93). FORTINO (Mirella), L’épistémologie de Duhem est-elle une ennemie de la rationalité ouverte ? (pp. 95-122). LEITE (Fábio Rodrigo), Quelques notes sur le prétendu réalisme struc­turel attribué à Pierre Duhem (pp. 123-164). ROUMENGOUS (Lucas), La (...) continuité de la physique à la métaphysique: un argument en faveur du néo-thomisme de Pierre Duhem ? (pp. 165-198). SEIDENGART (Jean), Duhem et les limites de son phénoménisme: la théorie physique peut-elle se contenter de sauver les phénomènes ? (pp. 199-219). STOFFEL (Jean-Fran­çois), Pierre Duhem et la revendication d’une tradition phéno­mé­naliste: à propos de son «Essai sur la notion de théorie physique de Platon à Galilée» (pp. 221-268). STOFFEL (Jean-François), L’«Histoire de la physique» de Pierre Duhem: contexte d’une publication singulière et historique de l’usage du terme «révolution» (pp. 271-300). BORDONI (Stefano), L’«Histoire de la physique» de Pierre Duhem: une histoire synthétique et tran­chante (pp. 301-310). DUHEM (Pierre), Histoire de la physique / manuscrit édité par Souad BEN ALI et Jean-François STOFFEL (pp. 311-406). Présentation des auteurs (pp. 407-409). Table des matières (pp. 411-412). (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)

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 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 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)

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)

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)

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)

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)

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 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)

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)

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)

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)

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)

It is sometimes alleged that the study of emotion and the study of value are currently pursued as relatively autonomous disciplines. As Kevin Mulligan notes, “the philosophy and psychology of emotions pays little attention to the philosophy of value and the latter pays only a little more attention to the former.” (2010b, 475). Arguably, the last decade has seen more of a rapprochement between these two domains than used to be the norm (cf. e.g. Roeser & Todd 2014). But there (...) still seems to be considerable potential for exchange and dialogue if the situation is compared with their intimate relationship in central strands of early realist phenomenology. The philosopher perhaps most representative of this ecumenical approach is Husserl’s early student Dietrich von Hildebrand (1889-1977). From the very early stages of his philosophical career, Hildebrand has developed one of the most original, comprehensive and nuanced accounts of emotions at whose core is a detailed examination of their connection to value. While his central concern with the ethical significance of our affective life is in many ways continuous with Scheler’s work and draws crucially on Reinach’s philosophy of mind, Hildebrand’s own reflections considerably expand on and substantially modify the picture of the ontology and normative role of emotions defended by these authors. In this article, I reconstruct Hildebrand’s view of emotions with a particular focus on those aspects which represent his most distinctive contribution to this subject. (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)

Contrary to what many interpretations claim, according to Bayle faith does not completely eliminate reason. It intervenes to reveal factual truths that can only be known through revelation (for example, that God allowed Adam and Eve to sin). To these factual truths can be applied a rational principle (an axiomatic and evident one, according to Bayle, which he calls a "common notion"), namely, that "what God does is well done." God allowed sin, so we must think it was justified, even (...) if we don't understand why. This approach is what I call, cum grano salis, Pierre Bayle's theodicy. (shrink)

Programs of drug testing welfare recipients are increasingly common in US states and have been considered elsewhere. Though often intensely debated, such programs are complicated to evaluate because their aims are ambiguous – aims like saving money may be in tension with aims like referring people to treatment. We assess such programs using a proportionality approach, which requires that for ethical acceptability a practice must be: reasonably likely to meet its aims, sufficiently important in purpose as to outweigh harms incurred, (...) and lower in costs than feasible alternatives. In the light of empirical findings, we argue that the programs fail the three requirements. Pursuing recreational drug users is not important in the light of costs incurred, while dependent users who may require referral are usually identifiable without testing and typically need a broader approach than one focussing on drugs. Drug testing of welfare recipients is therefore not ethically acceptable policy. (shrink)

We investigate epistemic independence for choice functions in a multivariate setting. This work is a continuation of earlier work of one of the authors [23], and our results build on the characterization of choice functions in terms of sets of binary preferences recently established by De Bock and De Cooman [7]. We obtain the independent natural extension in this framework. Given the generality of choice functions, our expression for the independent natural extension is the most general one we are aware (...) of, and we show how it implies the independent natural extension for sets of desirable gambles, and therefore also for less informative imprecise-probabilistic models. Once this is in place, we compare this concept of epistemic independence to another independence concept for choice functions proposed by Seidenfeld [22], which De Bock and De Cooman [1] have called S-independence. We show that neither is more general than the other. (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)

The problem of the intensification and remission of qualities was a crux for philosophical, theological, and scientific thought in the Middle Ages. It was raised in Antiquity with this remark of Aristotle: some qualities, as accidental beings, admit the more and the less. Admitting more and less is not a trivial property, since it belongs neither to every category of being, nor to every quality. Rather it applies only to states and dispositions such as virtue, to affections of bodies such (...) as heat and sweetness, and to affections of soul such as anger. However, the property of admitting more and less was a matter of importance for the qualitative physics that had reigned up to about the time of Descartes, a physics which was concerned with concepts such as heat, coldness, lightness, heaviness, and so on. (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.

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)

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)

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)

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

We study whether it is possible to generalise Seidenfeld et al.’s representation result for coherent choice functions in terms of sets of probability/utility pairs when we let go of Archimedeanity. We show that the convexity property is necessary but not sufficient for a choice function to be an infimum of a class of lexicographic ones. For the special case of two-dimensional option spaces, we determine the necessary and sufficient conditions by weakening the Archimedean axiom.

This paper examines the preference-based approach to the identification of beliefs. It focuses on the main problem to which this approach is exposed, namely that of state-dependent utility. First, the problem is illustrated in full detail. Four types of state-dependent utility issues are distinguished. Second, a comprehensive strategy for identifying beliefs under state-dependent utility is presented and discussed. For the problem to be solved following this strategy, however, preferences need to extend beyond choices. We claim that this a necessary feature (...) of any complete solution to the problem of state-dependent utility. We also argue that this is the main conceptual lesson to draw from it. We show that this lesson is of interest to both economists and philosophers. (shrink)

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)

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?

Bringing together two aspects of Thomas Aquinas's thought that have been studied separately: his theory of God's concurrence and his theory of instrumental causality, I show how he uses the latter (which I discuss first) to clarify the Proclusian principle that the first cause has a greater influence on an effect than the proximate causes. Thanks to this theory, Aquinas accounts for the fact that it is God who confers existence to every new being that is produced by natural processes, (...) without however negating the agency of secondary, created causes. (shrink)