La réflexion Benthamienne sur les mathématiques

In 1814, Jeremy Bentham began to writeChrestomathia; this work is a presentation of what is useful to learn. However this text is, more generally, an entire organization of the knowledge of his time, through developing a «theory of fictions», which is a reflexion on concepts and a critics of nomenclatures. The following essay focuses on the fifty pages refering to mathematics in a work that considers the integrality of sciences at the beginning of the xix^th century and criticizes the FrenchEncyclopédie of Diderot and D’Alembert. A most singular idea expressed by the author, indirectly echoed by Gaston Bachelard through some books, is the conflict between concepts and their being designated by words. Signified, signifying entities and concepts are reciprocally adrift so that nobody, even the scholar, can keep control of these motions; what makes education unceasingly difficult.     

Prony et babbage: apercus sur l'histoire de la division du travail mental∗

Hobbes and Hume on the imagination can initiate a discussion of empiricism in the 17th and 18th centuries: here, however, it provides the opportunity to focus on Kant's attempt to overcome the limits of their sense originating, naturalist ethics. I argue the general point that Kant's response to his predecessors, both empiricist and non-empiricists, is to modify their focus on nature without falling into skepticism; indeed, his speculative metaphysics also is a response to classical ontological metaphysics. Kant by providing two realms or perspectives, a natural and a noumenal, avoids many difficulties resulting from Hobbes and Hume's starting point in sense leading to imagination and a non-normative reason. Yet, challenged by Herder and the romantics, he uses a sort of residual view of the imagination in relation to the freedom of the noumenal, which results in difficulties for his speculative, noumenal metaphysics.     

Understanding the rates of expansion of the farming system in Europe

If the overall expansion of the farming system was determined by the Neolithic Demographic Transition (NDT), i.e. by demographic pressure, what determined the rate of expansion? What is the link between the rate of expansion, the farming system and demographic density? In a first approach, the issue of the different rates of expansion of the farming system on the map is addressed in terms of 21 geo-ecological, climatic and cultural factors and forager populations, via an ordinary least square regression technique (OLS). In a second approach, the variability of the rate of expansion is analyzed in terms of specific patterns identified for the ceramic culture areas, via a cluster analysis. The expansion rate is negatively correlated with the intensification of the agricultural system, as well as with demographic density. Expansion is slow in ecosystems with an intensive farming system with relatively high demographic density, and vice-versa.