What philosophical motivations lay behind the emergence of the genealogical method in Foucault’s thought? Pace traditional interpretations, I argue that genealogy is best construed as a supplementary addition to the archaeological mode of investigation. It addresses an issue that arose within the problematic to which the archaeological method responds, but which that method was not designed to solve: the problem of “transcendental genesis” as this issue was defined within the unique parameters set forth by the French phenomenological tradition.

We want to consider anew the question, which is recurrent along the history of philosophy, of the relationship between rationality and mathematics, by inquiring to which extent the structuration of rationality, which ensures the unity of its function under a variety of forms (and even according to an evolution of these forms), could be considered as homeomorphic with that of mathematical thought, taken in its movement and made concrete in its theories. This idea, which is as old as philosophy itself, (...) although it has not been dominant, has still been present to some degree in the thought of modern science, in Descartes as well as in Kant, Poincaré or Einstein (and a few other scientists and philosophers). It has been often harshly questioned, notably in the contemporaneous period, due to the failure of the logistic programme, as well as to the variety of “empirical” knowledges, and, in a general way, to the character of knowledges that show them as transitory, evolutive and mind-built. However, the analysis of scientific thought through its inventive and creative processes leads to characterize this thought as a type of rational form whose configurations can be detailed rather precisely. In this work we shall propose, first, a quick sketch of some philosophical requirements for such a research programme, among which the need for an harmonization, and even a conciliation, between the notions of rational (or rationality), of intuitive grasp and of creative thought. Then we shall examine some processes of creative scientific thought bearing on the knowledge and the understanding of the world, distinct from mathematics although keeping tight relations with them. Contemporary physical theories are privileged witnesses in this respect, for in them the rational thought of phenomena makes an intrinsic use of mathematical thought, which contributes to the structuration of the formers and to the expression of their concepts (which entails the physical contents of the latter). The General Theory of Relativity and the Quantum Theory are exemplar to this, as they directly reveal what can be called the “drag of physical thought par the mathematical form”, which makes possible to overcome the limitations of the physical knowledge previously adquired. This process is tightly related to the modalities and to the stucture of the rational thought underlying it. This is what we would like to show. DOI:10.5007/1808-1711.2011v15n2p303. (shrink)

La presente nota crítica tiene como finalidad exponer y comentar las ideas fundamentales de la edición española del primer escrito de Jacques Derrida, El problema de la génesis en la filosofía de Husserl. Asimismo, hacemos algunas aclaraciones sobre el origen y significado de este escrito. Al concluir, añadimos algunas observaciones sobre la traducción y sobre el estudio final del editor y traductor Javier Bassas Vila sobre la filosofía del joven Derrida.

Verrassend misschien voor filosofen buiten Frankrijk, maar in Parijs is wetenschap altijd een object van filosofische reflectie geweest – niet in de vorm van de analytische wetenschapsfilosofie zoals die buiten Frankrijk wordt onderwezen, maar onder de noemer van historische epistemologie, of soms ook wel kortweg épistémologie genoemd. Dit themanummer wil een inleiding zijn op deze traditie in haar denkers.

Este texto introduz a tradução do discurso de intitulado "Sobre os números transfinitos" ("Über transfinite Zahlen"), proferido por Henri Poincaré em 27 de abril de 1909, na Universidade de Göttingen. Após uma breve apresentação do pensamento do autor acerca dos fundamentos da aritmética, procura-se citar os aspectos mais relevantes da chamada crise dos fundamentos da matemática, para então introduzir a reformulação do conceito de predicatividade aventada no referido discurso sobre números transfinitos, contribuição compreendida como um recurso teórico necessário para a (...) superação dos paradoxos relativos à teoria dos conjuntos. Com isso, pretende-se evidenciar o papel central do texto publicado nesta edição para o desenvolvimento da concepção matemática de Henri Poincaré. This article provides an introduction to the translation of the lecture entitled "On transfinite numbers" ("Über transfinite Zahlen"), given by Henri Poincaré at the University of Göttingen on April 27, 1909. Following a short presentation of Poincaré's views on the foundations of arithmetic, it identifies the aspects of the so-called crisis of the foundations of mathematics that are most relevant for understanding his reconstruction of the concept of predicativity, which is intended to be a theoretical resource that may overcome the paradoxes of set theory. In doing so, the article highlights the central role of this text in the process of maturation of Poincaré's views on the foundations of mathematics. (shrink)

The philosophy of Louis Althusser is often contrasted with the ideas of Michel Foucault. At first sight, the disagreement seems to be about the concept of ideology: while Althusser seem to be huge advocate of the use of the concept, Foucault apparently dislikes and avoids the concept altogether. However, I argue in this article that this reading is only superficial and that it obscures the real debate between these two authors. Althusser, especially in his recently posthumously published Sur la reproduction (...) (1995), appears to agree on many points with Foucault. The real dispute lies not in the concept of ideology, but in its connection with its counterpart ‘science’. Both Althusser and Foucault were in a way epistemologists, focusing on the question on how sciences develop and how scientific practice works. Focussing on their shared background in the French epistemology, with authors such as Gaston Bachelard and Jean Cavaillès, the real discussion appears to be about whether science can really be opposed to ideology or not. Focusing on these aspects of their works can shed new lights on their oeuvre as well as on the nature of scientific practice. (shrink)