Abstract

The possible impact of general philosophical ideas on the choice of research subject in mathematics is the topic of this paper. I examine a specific case in which the philosophical background is provided by a discussion on the role of language in science, which is associated with the work of Condillac. The area of mathematics considered is functional equations, a difficult chapter of mathematical analysis that began to be developed between the end of the eighteenth and the beginning of the nineteenth century. The researcher is Charles Babbage , a young British mathematician deeply interested in the recent work of French mathematicians and philosophers of science