From Gauss to Riemann Through Jacobi: Interactions Between the Epistemologies of Geometry and Mechanics?

@article{Paz2020FromGT,
  title={From Gauss to Riemann Through Jacobi: Interactions Between the Epistemologies of Geometry and Mechanics?},
  author={M. Paz and J. Ferreir{\'o}s},
  journal={Journal for General Philosophy of Science},
  year={2020},
  volume={51},
  pages={147-172}
}
The aim of this paper is to argue that there existed relevant interactions between mechanics and geometry during the first half of the nineteenth century, following a path that goes from Gauss to Riemann through Jacobi. By presenting a rich historical context we hope to throw light on the philosophical change of epistemological categories applied by these authors to the fundamental principles of both disciplines (which they came to regard as hypotheses or conventions). We intend to show that… Expand