Merleau-Ponty’s relationship with his Sorbonne professor Léon Brunschvicg is usually disregarded or mentioned by scholars as a mere anecdote. Moreover, the rare discussions of the latter’s “critical idealism” usually take at face value Merleau-Ponty’s partial and biased account. In contrast, this paper argues that in order to understand the genesis of Merleau-Ponty’s thought, it is necessary to reassess Brunschvicg’s idealism and his views on the relationship between perception and scientific knowledge. Particular attention is drawn to a specific chapter of Brunschvicg’s (...) masterwork L’Expérience humaine et la causalité physique, entitled “Théorie intellectualiste de la perception”. Therein is articulated the theory of perception that Merleau-Ponty never ceased to contest, and of which his entire oeuvre constitutes a reversal. However, far from highlighting only the elements of opposition, the author also points out the thematic continuity that survives the generational gap between the two authors. (shrink)

According to Kant, the axioms of intuition, i.e. space and time, must provide an organization of the sensory experience. However, this first orderliness of empirical sensations seems to depend on a kind of faculty pertaining to subjectivity, rather than to the encounter of these same intuitions with the real properties of phenomena. Starting from an analysis of some very significant developments in mathematical and theoretical physics in the last decades, in which intuition played an important role, we argue that nevertheless (...) intuition comes into play in a fundamentally different way to that which Kant had foreseen: in the form of a formal or “categorical” yet not sensible intuition. We show further that the statement that our space is mathematically three-dimensional and locally Euclidean by no means follows from a supposed a priori nature of the sensible or subjective space as Kant claimed. In fact, the three-dimensional space can bear many different geometrical and topological structures, as particularly the mathematical results of Milnor, Smale, Thurston and Donaldson demonstrated. On the other hand, it has been stressed that even the phenomenological or perceptual space, and especially the visual system, carries a very rich geometrical organization whose structure is essentially non-Euclidean. Finally, we argue that in order to grasp the meaning of abstract geometric objects, as n-dimensional spaces, connections on a manifold, fiber spaces, module spaces, knotted spaces and so forth, where sensible intuition is essentially lacking and where therefore another type of mathematical idealization intervenes, we need to develop a new form of intuition. (shrink)

Pour le philosophe intéressé aux structures et aux fondements du savoir théorétique, à la constitution d'une « méta-théorétique «, θεωρíα., qui, mieux que les « Wissenschaftslehre » fichtéenne ou husserlienne et par-delà les débris de la métaphysique, veut dans une intention nouvelle faire la synthèse du « théorétique », la logique mathématique se révèle un objet privilégié.

Le développement et la complexité, qui ont caractérisé les débats sur la structure conceptuelle des sciences au xxe siècle, ont déterminé la naissance d'une nouvelle discipline, l'histoire de l'épistémologie, avec l'objectif de tracer une histoire critique de notre « patrimoine épistémologique » avec des méthodologies plus appropriées de nature historique et théorique. Une histoire critique de la philosophie des sciences nous montre beaucoup de « Wenden » au-delà de celles plus bien connues, néopositiviste et post-néopositiviste ; en Italie et en (...) France, dans les dix premières années du xxe siècle, a pris naissance une tradition de recherche épistémologique de nature néorationaliste, avec des noyaux théoriques spécifiques pour l'importance accordée à l'historicité de la science. L'épistémologie néorationaliste italo-française a privilégié l'analyse des rapports entre la pensée mathématique et la pensée physique, telle que l'on peut la caractériser comme une véritable épistémologie de la physique mathématique; de plus, cette approche différente, dessinée d'abord par Federigo Enriques et ensuite par Gaston Bachelard, Albert Lautman et Ferdinand Gonseth, a permis de comprendre déjà dès les années trente la « philosophie implicite » dans les travaux de Kurt Godel et d'Hermann Weyl. (shrink)

The paper delves into the methodological aspects of how foundational mathematical and physical tenets, most notably the principle of least action, are interpreted and assimilated within humanities discourse. The pursuit of the article’s objectives is driven by the necessity for a philosophical and methodological analysis of the current conceptual status of the principle of least action. This analysis is informed by cognitive-axiological and teleological imperatives of a “synthetic” development program for the principle. Any fundamental principle will not have a definitive (...) explanation, as otherwise it would not be fundamental, but in this case, some justification can be given based on deeper grounds discussed in the article. Drawing on the epistemological frameworks of French philosophers P. Hadot, E. Levinas, J. Bouveresse, and J.-T. Desanti, the article weaves together mathematical abstractions with human experience and philosophical doctrines with physical theories. J.-T. Desanti’s perspective on mathematical objects as an outcome of human activity is examined. Also scrutinized is B. Nicolescu’s concept of transdisciplinarity, which challenges the traditional subject-object dualism in science. The author’s methodological stance emerges from a dialectical viewpoint, one that eschews a simplistic dichotomy between materialism and idealism and is grounded in rigorous scientific inquiry and an exhaustive examination of the subject matter itself. The principle of least action, as a paramount principle in physics, is shown to exemplify a legacy of innovation, positioning it as both methodologically insightful and heuristically valuable. The paper also highlights how this principle diverges from the classical principle of economy. The broader goal – within the context of “sustainable development,” transdisciplinary studies, and creative industries – is to establish the principle of least action as a paradigmatic imperative for interaction within social and economic systems. The conclusions drawn from this study contribute to a deeper understanding of the principle’s essence, the nature of transdisciplinarity, and confront the vestiges of scientism in the humanities. (shrink)

The history and philosophy of science are destined to play a fundamental role in an epoch marked by a major scientific revolution. This ongoing revolution, principally affecting mathematics and physics, entails a profound upheaval of our conception of space, space–time, and, consequently, of natural laws themselves. Briefly, this revolution can be summarized by the following two trends: by the search for a unified theory of the four fundamental forces of nature, which are known, as of now, as gravity, electromagnetism, and (...) strong and weak nuclear forces; by the search for new mathematical concepts capable of elucidating and therefore explaining such a relationship. In fact, the first search is essentially dependent on the second; that is to say, that in order for a new theory of physics to come to light, the development of a deeper geometric theory capable of explaining the structure of space–time on a quantum scale appears to be necessary. On careful consideration, we notice that both of these developments converge in the direction of a unitary and fundamental tendency of modern science—which is the geometrization of theoretical physics and of natural sciences. This new emergent situation carries within it a profound conceptual change, affecting the way in which relations are conceived of, first and foremost, between mathematics and physics. This new paradigm can be summed up by the intimately interdependent points: the immense variety of physical phenomena and of natural forms follows from the equally infinite variety of geometric and topological objects that can be made out in space and from which space is made up; the second point, which ensues from the former one and which is of great historical and epistemological significance, is that mathematics is involved in rather than applied to phenomena. In other words, phenomena are effects that emerge from the geometrical structure of space–time. There is no doubt that this new conception of the relationship between the universe of mathematical ideas and objects and the world of natural phenomena is the true scientific revolution of our century, of great conceptual importance, and consequently, capable of changing our view of science and of nature at one and the same time. It is all at once of a scientific, philosophical and aesthetic order. (shrink)