In this paper, I present and discuss critically the main elements of Mario Bunge’s philosophy of mathematics. In particular, I explore how mathematical knowledge is accounted for in Bunge’s systemic emergent materialism.

In this paper, following the claims made by various mathematicians, I try to construct a theory of levels of abstraction. I first try to clarify the basic components of the abstract method as it developed in the first quarter of the 20th century. I then submit an explication of the notion of levels of abstraction. In the final section, I briefly explore some of main philosophical consequences of the theory.

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)

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.

In this paper, I explore Bunge’s fictionism in philosophy of mathematics. After an overview of Bunge’s views, in particular his mathematical structuralism, I argue that the comparison between mathematical objects and fictions ultimately fails. I then sketch a different ontology for mathematics, based on Thomasson’s metaphysical work. I conclude that mathematics deserves its own ontology, and that, in the end, much work remains to be done to clarify the various forms of dependence that are involved in mathematical knowledge, in particular (...) its dependence on mental/brain states and material objects. (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)

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

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)

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)

Le réalisme scientifique occupe une place centrale dans le système philosophique de Mario Bunge. Au cœur de cette thèse, on trouve l’affirmation selon laquelle nous pouvons connaître le monde partiellement. Il s’ensuit que les théories scientifiques ne sont pas totalement vraies ou totalement fausses, mais plutôt partiellement vraies et partiellement fausses. Ces énoncés sur la connaissance scientifique, à première vue plausible pour quiconque est familier avec la pratique scientifique, demandent néanmoins à être clarifiés, précisés et, ultimement, à être inclus dans (...) un cadre théorique plus large et rigoureux. Depuis ses toutes premières publications sur ces questions et jusqu’à récemment, Mario Bunge n’a cessé d’interpeller les philosophes afin qu’ils développent une théorie, au sens propre du terme, de la vérité partielle afin de clarifier les enjeux épistémologiques liés au réalisme scientifique. Bunge a lui-même proposé plusieurs parties de cette théorie au fil des années, mais aucune de ces propositions ne l’a satisfait pleinement et la construction de cette théorie demeure un problème entier. Dans ce texte, nous passerons rapidement en revue certaines des approches proposées par Bunge dans ses publications et nous esquisserons certaines pistes qui devraient servir à tout le moins de desiderata pour la construction d’une théorie de la vérité partielle. (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.

In this paper, we argue that, contrary to the view held by most philosophers of mathematics, Bourbaki’s technical conception of mathematical structuralism is relevant to philosophy of mathematics. In fact, we believe that Bourbaki has captured the core of any mathematical structuralism.

Categorical foundations and set-theoretical foundations are sometimes presented as alternative foundational schemes. So far, the literature has mostly focused on the weaknesses of the categorical foundations. We want here to concentrate on what we take to be one of its strengths: the explicit identification of so-called canonical maps and their role in mathematics. Canonical maps play a central role in contemporary mathematics and although some are easily defined by set-theoretical tools, they all appear systematically in a categorical framework. The key (...) element here is the systematic nature of these maps in a categorical framework and I suggest that, from that point of view, one can see an architectonic of mathematics emerging clearly. Moreover, they force us to reconsider the nature of mathematical knowledge itself. Thus, to understand certain fundamental aspects of mathematics, category theory is necessary (at least, in the present state of mathematics). (shrink)

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)

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)

Tradução do livro: Sociologias da alimentação: os comedores e o espaço social alimentar. Florianópolis, Editora da UFSC, 2004, 311 páginas. Obra traduzida juntamente com Rossana Pacheco da Costa Proença e Carmen Silvia Rial. ISBN 85.328.0290-7. [Título original: Sociologies de l'alimentation: Les mangeurs et l'espace social alimentair. Obra publicada originalmente pela PUF, Paris, 2002. Edição original 288 páginas. ISBN: 213050643. Janeiro 2003, 2e édition. Etnologia-Antropologia].

Surimposium is a theory of complex reality. It does not seek to shake up existing paradigms, even when they are contradictory. It places them in levels of reality of relative independence. The task is then to link them with a metaprincipe keeping everything monistic. From this principle, Surimposium establishes a continuity of information levels from hardware to virtual. Their staged complexity continues into the processing depth of neural networks. A stack of layers of information that I call "surimposed" mimics other (...) parts of the complex dimension to build a representation. Subject and model have their own reality. Shift is the root of intention. (shrink)

A simple definition of consciousness is sensory awareness of the body, the self, and the world. The fetus may be aware of the body, for example by perceiving pain. It reacts to touch, smell, and sound, and shows facial expressions responding to exter- nal stimuli. However, these reactions are probably preprogrammed and have a subcortical nonconscious origin. Furthermore, the fetus is almost continuously asleep and unconscious partially due to endog- enous sedation. Conversely, the newborn infant can be awake, exhibit sensory (...) awareness, and process memorized mental representations. It is also able to differentiate between self and nonself touch, express emotions, and show signs of shared feelings. Yet, it is unreflective, present oriented, and makes little reference to concept of him/herself. Newborn infants display features characteristic of what may be referred to as basic consciousness and they still have to undergo considerable maturation to reach the level of adult consciousness. The preterm infant, ex utero, may open its eyes and establish minimal eye contact with its mother. It also shows avoidance reactions to harmful stimuli. However, the thalamocortical connections are not yet fully established, which is why it can only reach a minimal level of consciousness. (shrink)

Devant le constat du déclin toujours plus rapide de la diversité biologique et les limites des res- sources disponibles pour l’enrayer, il est nécessaire de déterminer quels moyens devraient être engagés dans sa protection. Pour ce faire, une méthode efficace serait d’évaluer les bénéfices tirés de la biodiversité afin d’estimer rationnellement les coûts légitimes de sa protection. L’évaluation économique, qui se présente d’emblée sur un mode quantitatif, serait alors un outil précieux. Dans ce texte, nous présentons différentes méthodes d’évaluation économique (...) de la biodiversité ainsi que certaines de leurs limites méthodologiques. Par la suite, nous montrons qu’en dépit de ses avantages pratiques, l’évaluation économique échoue à représenter l’ensemble des valeurs en jeu dans la protection de la biodiversité. Nous décrivons alors trois types de valeurs incommen- surables avec des bénéfices économiques : la valeur de legs, qui renvoie aux obligations de trans- mission du patrimoine naturel dont nous avons hérité ; la valeur d’existence, qui renvoie à la considération morale d’intérêts autres que ceux des êtres humains ; la valeur de transformation, qui renvoie à la capacité d’examiner et de critiquer nos préférences et inclinaisons afin d’inclure celles-ci dans une vision du monde rationnelle et cohérente. Pour conclure, nous plaidons en faveur de l’élaboration de méthodes de concertation et d’évaluation participatives et pluralistes permettant de rendre compte de la diversité et de l’hétérogénéité des valeurs de la biodiversité. (shrink)

Fra il 1892 e il 1896, lo scienziato francese Pierre Duhem pubblicò, nella «Revue des questions scientifiques», sette articoli che, per la prima volta, fecero conoscere la sua concezione della scienza a un pubblico più vasto. L’accoglienza reticente, persino ostile, che è stata loro riservata lo indurrà, già in questo breve lasso di tempo, a fare evolvere la sua concezione. Otto anni dopo sarà pubblicata la sua famosa «Théorie physique : son objet, sa structure», in cui sono integrati molti (...) di questi testi. Offrendo per la prima volta l’edizione bilingue completa di questi sette articoli, il volume fornisce una migliore comprensione non solo dell’evoluzione del pensiero duhemiano, ma anche del contenuto del capolavoro di fama mondiale che ne sarebbe derivato. * * * Entre 1892 et 1896, le savant français Pierre Duhem fait paraître, dans la «Revue des questions scientifiques», sept articles qui, pour la première fois, font connaître sa conception de la science à un plus large public. L’accueil réticent, voire hostile, qui leur est réservé l’amènera, déjà au sein de ce court laps de temps, à faire évoluer sa conception. Huit ans plus tard paraîtra sa célèbre «Théorie physique : son objet, sa structure» dans laquelle plusieurs de ces textes se trouvent intégrés. En offrant pour la première fois l’édition bilingue intégrale de ces sept articles, ce volume permet donc de mieux comprendre non seulement l’évolution de la pensée duhémienne, mais encore le contenu du maître-ouvrage, mondialement connu, qui devait en résulter. (shrink)

French text publication of the manuscript of the English article en-titled "Physics, History of" and published by Duhem in Volume 12 of the 1911 "Catholic Encyclopedia".

Large sets of elements interacting locally and producing specific architectures reliably form a category that transcends the usual dividing line between biological and engineered systems. We propose to call them morphogenetically architected complex systems (MACS). While taking the emergence of properties seriously, the notion of MACS enables at the same time the design (or “meta-design”) of operational means that allow controlling and even, paradoxically, programming this emergence. To demonstrate our claim, we first show that among all the self-organized systems studied (...) in the field of Artificial Life, the specificity of MACS essentially lies in the close relation between their emergent properties and functional properties. Second, we argue that to be a MACS a system does not need to display more than weak emergent properties. Third, since the notion of weak emergence is based on the possibility of simulation, whether computational or mechanistic via machines, we see MACS as good candidates to help design artificial self-architected systems (such as robotic swarms) but also harness and redesign living ones (such as synthetic bacterial films). (shrink)

S'étonnant qu'un simple physicien sache traiter des rapports de la physique et de la métaphysique, Edmond Domet de Vorges s'était demandé si Pierre Duhem n'avait pas bénéficié de l'aide de quelque théologien dans l'élaboration de son articulation de ces deux disci­plines. Faisant suite à cette question très perti­nente, cet article liste d'abord les intellectuels catholiques qui étaient en relation avec Duhem avant la publication, en 1893, de son article Physique et métaphysique et qui auraient effec­tivement pu l'aider à concevoir (...) une telle articulation. Se con­sacrant ensuite spécifiquement à l'un d'entre eux, à savoir Maurice Blondel, il étudie les similitudes et divergences existant entre les pensées du physicien bordelais et du philosophe d'Aix pour conclure que Blondel ne peut pas être celui qui aurait inspiré Duhem. À l'appui de cette conclusion, il fait notamment état d'une lettre inédite adressée par Duhem à Ambroise Gar­deil et dans laquelle celui-ci porte un jugement sévère à l'en­droit de son «pauvre ami» Blondel. ––– One might be surprised to find that a simple physician could be able explain with clarity the subtle relationship between physics and metaphysics. It is with this question in mind that Edmond Domet de Vorges asked himself if it might not have been with the aid of theologians that Pierre Duhem was able to find and express his subtle articulation between the two disciplines. Following in the footsteps of this pertinent question, this article begins by listing the catholic intellectuals who were acquain­tances of Pierre Duhem before the publication in 1893 of “Physique et métaphysique”, who may have been able to help him arrive at the relationship between the two sciences expressed in his publication. This line of questioning is followed by a specific study of one of these men, namely Maurice Blondel. The similarities and differences in the opinions of the physician from Bordeaux and the philosopher from Aix are explored with the resulting conclusion that Blondel could not have been he who inspired Duhem. This conclusion can be confirmed by a previously unpublished letter from Duhem to Ambroise Gardeil which contains a very severe judgement with regards to his “poor friend” Blondel. (shrink)

Physicien théoricien, philosophe de la physique et historien des théo­ries physiques, le savant catholique français Pierre Duhem (1861-1916) a profondément marqué la pensée du vingtième siècle. Chacun connaît le Système du monde, dont les dix volu­mes ont contribué à la redécouverte de la science médiévale, et La théorie physique, qui a notamment donné lieu à la célèbre «thèse Duhem-Quine». Si Clio a donc gardé de Duhem le sou­venir d’un grand historien des sciences et d’un philosophe perspicace de la physique, (...) lui-même cependant n’aspirait qu’à être reconnu comme physicien. Son œuvre est en effet traver­sée par un projet scientifique qui consiste à ordonner et à réunir les diverses branches de la physique sous l’égide de la thermo­dynamique dans le cadre d’une théorie représentative et non explicative du réel. C’est ce projet que Duhem a voulu réaliser dans ses publications scientifiques, exposer dans ses écrits philoso­phiques, et finalement cautionner par ses recherches historiques. Cependant l’investissement toujours plus important de Duhem en histoire des sciences et la présence dans son œuvre de con­sidéra­tions apologétiques et d’écrits patriotiques peuvent don­ner à penser qu’il s’est progressivement détourné de ce projet primordial au profit d’autres préoccupations. De même, les tensions qui, à l’inté­rieur de ce projet scientifique, subsistent entre sa volonté unificatrice et sa revendication phénoménaliste peuvent conduire à une relativi­sation de cette dernière, conçue comme une demande contextuelle, passa­gère et finalement peu significative. Sans ignorer ces préoccu­pations historiques, religieuses ou patriotiques, sans négliger ce con­flit d’intérêt entre les deux parties constitutives du projet duhémien, cette étude entend tout d’abord réaffirmer que ce projet scientifique ne sera jamais ni abandonné, ni amputé. Toutefois, dès lors que sont maintenues la permanence, la prio­rité et l’intégralité de ce projet, trois paradoxes surgissent im­médiatement. Si Duhem se voulait avant tout physicien et souhaitait être reconnu comme tel, par quelle extravagance de l’histoire est-il finalement connu pour ses recherches histori­ques et ses travaux philosophiques et non pour ce qui lui tenait le plus à cœur? S’il ne voulait être qu’un illustre physicien, pourquoi s’est-il acharné, au retour du laboratoire, à exhumer de l’oubli les manuscrits et les théories scientifiques des au­teurs médiévaux? Enfin, s’il voulait vraiment établir une physi­que qui soit unifiée, cohérente et parfaite, pourquoi se prive-t-il du réa­lisme et s’embarrasse-t-il du phénoménalisme? Basée sur la corres­pondance inédite de Duhem, cette étude, centrée plus particu­liè­rement sur ce troisième paradoxe, contribue fina­lement à élucider chacun d’eux. (shrink)

Introduction / St.L. JAKI (pp. 9-19). Présentation / J.-Fr. STOFFEL (p. 21). – L'œuvre de Pierre Duhem (pp. 25-113). Publications post­humes (pp. 115-129). – IIe partie : Les travaux de ses doc­torands. Fernand Caubet (pp. 133-135). Henry Chevallier (pp. 137-141). Émile Lenoble (pp. 143-144). Lucien Marchis (pp. 145-154). Eugène Monnet (pp. 155-156). Henri Pélabon (pp. 157-168). Paul Saurel (pp. 169-172). Albert Turpain (pp. 173-197). – IIIe partie : La litté­rature secondaire. Thèses et mé­moires (pp. 201-202). Livres (pp. 203-205). Biographies (...) et étu­des générales (pp. 207-209). Duhem en perspective (pp. 211-212). Le philosophe de la physique (pp. 213-234). L'histo­rien des théories physiques (pp. 235-243). Le physicien (pp. 245-251). Le croyant (pp. 253-256). Notices nécrologiques (pp. 257-258). Notices de dictionnaires et d'encyclopédies (pp. 259-260). – IVe partie : Index. (shrink)

LEITE (Fábio Rodrigo) – STOFFEL (Jean-François), Introduction (pp. 3-6). BARRA (Eduardo Salles de O.) – SANTOS (Ricardo Batista dos), Duhem’s analysis of Newtonian method and the logical priority of physics over metaphysics (pp. 7-19). BORDONI (Stefano), The French roots of Duhem’s early historiography and epistemology (pp. 20-35). CHIAPPIN (José R. N.) – LARANJEIRAS (Cássio Costa), Duhem’s critical analysis of mecha­ni­cism and his defense of a formal conception of theoretical phy­sics (pp. 36-53). GUEGUEN (Marie) – PSILLOS (Stathis), Anti-­scepticism and epistemic (...) humility in Pierre Duhem’s philosophy of science (pp. 54-72). LISTON (Michael), Duhem : images of science, historical continuity, and the first crisis in physics (pp. 73-84). MAIOCCHI (Roberto), Duhem in pre-war Italian philos­ophy : the reasons of an absence (pp. 85-92). HERNÁNDEZ MÁRQUEZ (Víctor Manuel), Was Pierre Duhem an «esprit de finesse» ? (pp. 93-107). NEEDHAM (Paul), Was Duhem justified in not distinguishing between physical and chemical atomism ? (pp. 108-111). OLGUIN (Roberto Estrada), «Bon sens» and «noûs» (pp. 112-126). OLIVEIRA (Amelia J.), Duhem’s legacy for the change in the historiography of science : An analysis based on Kuhn’s writings (pp. 127-139). PRÍNCIPE (João), Poincaré and Duhem : Resonances in their first epistemological reflec­tions (pp. 140-156). MONDRAGON (Damián Islas), Book review of «Pierre Duhem : entre física y metafísica» (pp. 157-159). STOFFEL (Jean-François), Book review of P. Duhem : «La théorie physique : son objet, sa structure» / edit. by S. Roux (pp. 160-162). STOFFEL (Jean-François), Book review of St. Bordoni : «When historiography met epistemology» (pp. 163-165). (shrink)

According to our interpretation, Σῴζειν τὰ φαινóμενα : Essai sur la notion de théorie physique pursues two intricately intertwined objectives. Primarily, it aims to establish the historical significance of Duhemian phenomenalism — the accuracy of which had previously been established in La Théorie Physique : son Objet et sa Structure — firstly, by positioning it within a millenary tradition and, secondly, by examining the conse­quences, both positive and negative, that subsequently arose from the various ways of comprehending the idea of (...) physical theory. Secondarily, it proffers a novel interpretation of the rationale behind the Galileo affair, from a point of view which is both philosophical (that of the Duhemian epistemology as it had already been developed in The Aim and Structure of Physical Theory) and historical (that of the lessons resulting from historical considerations in To Save the Phenomena). This article is dedicated to establishing the existence of the first goal by examining, firstly, whether or not it had actually been sought out by Duhem himself, and, secondly, whether or not he believed he had achieved it. (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)

L'Essai sur la notion de théorie physique de Pierre Duhem est contesté et rejeté à la fois par ceux qui y voient une interpré­­tation apologétique de l'affaire Galilée et par ceux qui refusent d'y perce­voir un plaidoyer historique en faveur du phénoména­­lisme duhé­mien. Les uns et les autres négligent donc cette mo­­nographie au sein de l'œuvre duhémienne. Sans nier la portée apologétique de cet ouvrage, cet article entend démontrer qu'avec cet Essai, Duhem a surtout voulu établir, au niveau histo­rique, (...) la validité de sa position phénoménaliste dont la justesse philosophique avait déjà été démon­trée, selon lui, dans La théorie physique et ce avant même que toute l'argumen­tation historique de cette thèse ne soit ultérieurement déve­lop­­pée dans Le système du monde. Il apparaît alors que cet Essai s'intègre parfaitement, en amont comme en aval, dans l'inté­­gralité de l'œuvre duhémienne. ––– The Essai sur la notion de théorie physique by Pierre Duhem has been contested and rejected both by those who see it as an apologetic for the Galileo affair, but also by those who refuse to see in this essay an historical argument in favour of Duhem's phenomenology. However it would appear that both groups of critics have not taken sufficient notice of this monograph in Duhem's works. Without wanting to underestimate the apolo­getic intention of Duhem's assay, this article argues that the author desired to establish historically the validity of a pheno­menalist position. This is a position which the author considered to have been already philosophically established in La Théorie physique. These are the same historical arguments which were later to be developed in Le système du monde. It would appear that the Essai can be integrated seamlessly into the entire corpus of Duhem's work, developing previous arguments and establishing themes which were developed in later works. (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)

Destined to accompany the original French text edition of the English article devoted to the history of physics that Pierre Duhem published in 1911 in the Catholic Encyclopedia, this article proposes, firstly, to contextualize this written work by retracing the history of the various Duhemian notes that appeared in this encyclopedia, by addressing the various references to Duhem contained in the Catholic Encyclopedia’s volumes, and by briefly reiterating the main Duhemian publications in progress at the time this text was (...) written. Secondly, taking advantage of the first appearance within these notes of the word “revolution” being used to denote, on one hand, the groundwork for the basic principles of Aristotelian physics established between 1277 and 1377, and, on the other hand, Kepler’s contribution which put an end to the demands of Platonic circularity, this article also offers a terminological research of the use of this term within Duhem’s work. In doing so, it also provides some insight into the reception of Duhem’s ideas within Catholic circles (namely, an increased appreciation of its qualities), and it increases awareness as to the entirely unexpected saliency of the notion of “revolution” within the ongoing historical work of this author. (shrink)

Le Père Ignace Carbonnelle, l'un des principaux fondateurs de la Société scientifique de Bruxelles en 1875 et son secrétaire général depuis cette époque, décède inopinément en 1889 après une quin­zaine d'années durant lesquelles il fut «l'homme fort» de ladite Société. Aussitôt, la Revue des questions scienti­fiques annonce la triste nouvelle, promettant, pour un prochain numéro, une étude détaillée de sa vie et de son œuvre. Elle ne paraîtra jamais, de sorte que sa mort ne fut pas saluée avec l'ampleur qu'on (...) était en droit d'attendre. Et pour cause ! Au ter­me d'une enquête digne d'un roman policier, cette étude révèle que Rome, agacée par l'atomisme de Carbonnelle, profita de sa mort pour rappeler à l'ordre la Société en l'invitant à marcher dans les pas de l'Aquinate. En réponse à cette pressante invi­tation et par un excès de zèle non requis, la Société élut comme président le célèbre thomiste français Edmond Domet de Vor­ges, cependant que le mathématicien Paul Mansion s'attacha d'établir, à partir des publications de Pierre Duhem prônant un retour à une physique des qualités, que la Société se conformait bien, mais à sa manière, aux injonctions romaines. ––– Fr. Ignace Carbonnelle, who founded the Brussels Scientific Society in 1875 and was from this date onwards her Secretary General, passed away suddenly in 1889, after fifteen years during which he was the leading figure of the aforementioned Society. “La Revue des Question scientifique” announced the sad news but promised that their next publication would include a detailed article on the great man and his works. Sadly this article never appeared, meaning that the passing of Fr. Carbonnelle was not marked with the importance which we might have otherwise expected. For what reason, you may well ask? After a detailed investigation, worthy of Agatha Christie herself, it would appear that Rome had been rather alarmed by the “atomism” present in Fr. Carbonnelle's reflections, and had taken the opportunity of his death to invite the Scientific Society to opinions more in line with those of St Thomas. In response to this firmly worded invitation, and with overzealous spontaneity, the Society elected the celebrated French Thomiste Edmond Domet de Vorges as their new President. At the same time the mathematician Paul Mansion relied on the publications of Pierre Duhem, which advocated a stronger adhesion to a physics of an object's qualities, to establish that the Society was, in fact, well aligned with the desires of Rome. (shrink)

Introduction to Dossier Pierre Duhem’s Philosophy and History of Science.

Michel-Pierre Lerner, Le monde des sphères. Tome 1: Genèse et triomphe d'une représentation cosmique ; Michel-Pierre Lerner Le monde des sphères. Tome 2: La fin du cosmos classique.

The New French Edition of Pierre Duhem’s The Aim and Structure of the Physical Theory reviewed by Jean-François Stoffel.

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.

Pierre Bayle shows that, in order to avoid devastating objections, materialism should postulate that the property of thinking does not emerge from certain material combinations but is present in matter from the start and everywhere—a hypothesis recently revived and labelled “panpsychism”. There are reasons for entertaining the idea that Bayle actually considers this enhanced materialism to be tenable, as it might use the same line of defence that Bayle outlined for Stratonism. However, this would lead to a view similar (...) to Locke’s superaddition theory, and I contend that such cannot be Bayle’s position because he embraces the Cartesian principle that each substance has only one principal attribute. This makes untenable, in his eyes, any system that conjoins thought with matter in the same simple substance. By contrast, this makes clear which kinds of metaphysics and epistemology panpsychists need to adopt to defend their view. (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)

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.