Le présent essai examine d'abord les notions newtoniennes d'espace et de temps absolus en elles-mêmes et dans leurs relations réciproques, puis ensuite dans leurs rapports avec d'autres notions connexes comme celles de lieu et de mouvement, en prenant pour base le Scholium qui fait suite aux définitions formulées au début des Principia mathematica philosophiae naturalis. La seconde partie analyse les arguments et precédés utilisés par Newton pour identifier des mouvements absolus, et prouver ainsi que de tels mouvements existent. La troisième (...) partie montre en quel sens il faut entendre que ces mouvements sont « absolus », et pourquoi on ne peut en tirer une preuve ultérieure de l'existence d'un temps et d'un espace absolus et subsistants. (shrink)

This paper focuses on the link between systems criticism and anti-mathematicism in the French-speaking philosophical literature of the mid-18thcentury. Moving from Condillac’s omissions to the exemplary cases of Diderot and Buffon—as well as considering Formey’s crucial remarks—I reconsider the complex relationship that the authors of the French Enlightenment have with the Newtonian model. Finally, I inquire into the fate awaiting both mathematics and systems in this context after 1750.

We discuss the concept of a cardinal number and its history, focussing on Cantor's work and its reception. J'ay fait icy peu pres comme Euclide, qui ne pouvant pas bien >faire< entendre absolument ce que c'est que raison prise dans le sens des Geometres, definit bien ce que c'est que memes raisons. (Leibniz) 1.

Leibniz frequently argued that reasons are to be weighed against each other as in a pair of scales, as Professor Marcelo Dascal has shown in his article "The Balance of Reason." In this kind of weighing it is not necessary to reach demonstrative certainty – one need only judge whether the reasons weigh more on behalf of one or the other option However, a different kind of account about rational decision-making can be found in some of Leibniz's writings. In his (...) article "Was Leibniz's Deity an Akrates?" Professor Jaakko Hintikka has argued that Leibniz developed a new vectorial model for rational decisions which is better suited to complicated decisions, where values are complementary to each other. This model, related closely to his work in metaphysics and the philosophy of mind, is a heuristic device which helps in finding rational combinations - and in an ideal case an optimum - between plural inclinations to the good. I shall argue that Leibniz applies more or less implicitly both of these models in his practical rationality. In simple situations he applied the pair of scales model and in more complicated situations he applied the vectorial model. (shrink)

One of the features of John Locke’s moral philosophy is the idea that morality is based on our beliefs concerning the future good. In An Essay Concerning Human Understanding II, xxi, §70, Locke argues that we have to decide between the probability of afterlife and our present temptations. In itself, this kind of decision model is not rare in Early Modern philosophy. Blaise Pascal’s Wager is a famous example of a similar idea of balancing between available options which Marcelo Dascal (...) has discussed in his important 2005 article “The Balance of Reason”. -/- Leibniz, however, was not always satisfied with this kind of simple balancing. In his commentary to Locke’s Essay, Nouveaux essais sur l’entendement humain, II, xxi, §66, he presented an alternative model which is based on an idea of plural, mutually conflicting inclinations. This kind of model, called as vectorial theory of rational decision by Simo Knuuttila, fits well with Leibniz’s theory of the soul where volitions are formed as a kind of compromise between different inclinations to different goods. -/- I will present these two models and show how they illustrate the practical rationality of Locke and Leibniz and how their moral philosophies differ, although being similar in certain respects. The topics include Leibniz’s criticism of Lockean hedonism and the discussion of akratic behaviour in II, xxi of Essay and Nouveaux essais. (shrink)