Helge Wendt

Mechanics in the Querelle des Anciens et des Modernes

The debate about the superiority of ancient versus modern culture, known as the Querelle des anciens et des modernes, also found expression in conflicting positions about the developing mathematical methods of natural philosophy. Isaac Newton explicitly referred to the authority of Euclidean geometry as a justification for the conservative form of the proofs in his Principia Mathematica, where he avoided the use of analytic geometry and infinitesimal calculus, the central innovations of seventeenth-century mathematics, as much as possible. Rather, he modeled his proofs, just like the overall structure of the treatise, as closely as possible on Euclid’s geometry. A century later, however, Joseph-Louis Lagrange announced in the introduction to his Mechanique Analytique that no geometrical diagrams would be found there and that Newtonian mechanics was presented exclusively in the form of analytic equations. This essay analyzes the relationship of this radical change in the theoretical methodology of mechanics to the actors’ ideas about ancient science and its authority. It also discusses the consequent development of a conception of ancient science as distinct from modern science and the relation of this conception to a history of science in our contemporary sense.

A Short Introduction to this Volume

This volume opens with a personal perspective on the history of Cuba by Angelo Baracca. It is followed by a short critical bibliography by Duccio Basosi that gives an overview of historical studies on different periods of Cuban history.

Scientific Cooperation Between the German Academy of Sciences in Berlin (DAW) and Cuba in the 1960s and 1970s

After the ratification of its constitution in 1959, the young Cuban Republic sought new cooperation partners in a number of different fields. One of these fields was scientific cooperation. It seems the Cubans quickly found partners in the academies of science of the USSR, Czechoslovakia and China, whereas the German Academy of Sciences in Berlin (DAW) was reluctant to engage in long-term cooperative projects. In the early 1960s, the universities of East Germany (GDR) began to send docents and scientists to Cuba where they participated in the summer schools, taught for one semester or more in one of the universities and undertook research that would be useful for their home institutions. However, the DAW carefully observed the reestablishment of Cuba’s own academy of science before becoming involved in common projects with Cuban partners.