Maupertuis et le mathématisme philosophique

Abstract

One of the greatest philosophical controversies of the eighteenth century was the competition organized in 1746 by the Berlin Academy of Sciences. Although the specific object of the competition was the theory of monads, this particular question nevertheless referred to a deeper and more radical opposition between the two contending parties, Newtonians and Wolffians. In this contribution, we will first focus on the reasons for Newtonian opposition to Wolff’s philosophy. In this context, particular attention will be paid to the positions of Euler and Maupertuis. We will then proceed to a comparison between the positions of Wolff and Maupertuis on the crucial question of the relationship between mathematical and philosophical method. Our analysis will attempt to show the existence, in Maupertuis’s thought, of an effort to apply the mathematical method to disciplines other than mathematics itself, which will allow us to determine his opposition to Wolffian philosophy. Finally, we will clarify the affinities and divergences between Wolff and Maupertuis, trying to show that the real reasons for their opposition should be sought in their respective epistemologies and metaphysics.