Interdisciplinary Collaborative Research

The interdisciplinary nature of the research is guaranteed by the presence in the network of several experts in philosophy, mathematics, history of science and epistemology endowed with a high competence in collaborative research, as well as by the participation of young researchers having already achieved an outstanding number of publications in the field.

As a result of the investigation, a new and original interpretation of the epistemological change that took place at the beginning of the 20th century will be given.

It will appear that neither the Peano School nor the philosophers of the Vienna Circle nor the RMM might be easily reduced to a logicist approach to mathematics, unless a variety of non-standard forms of logicisms is deployed. Besides, it will emerge that the official doctrine of the school masks relevant differences in the member’s epistemology.

Concerning the investigation of mathematics, in particular, one can discover what we call minor epistemologies, which should not be understood as minor variants of mainstream epistemologies (that is, the big –isms), but whose specificity should rather be looked for

  • in an interdisciplinary discussion of mathematical issues,
  • in a deep interest in mathematical practice that results from a daily interaction between philosophers, mathematicians, and physicians,
  • and in the focus on philosophical questions that arise not only from the discussion of a small number of examples taken from elementary mathematics, but from the analysis of various mathematical topics, including real analysis, vector space theory, etc.