Masterclass "Lakatos's Undone Work": The Practical Turn and the Division of Philosophy of Mathematics and Philosophy of Science

In this online masterclass, each of the 14 participating graduate students will write a research paper under the supervision of expert mentors from philosophy of science and philosophy of mathematics. Students can apply for different mentors and they will be matched with the mentors according to their interests.

The overarching theme of this masterclass is an analysis of a 'practical turn' in the philosophy of mathematics. Is this turn analogous to the practical turn in philosophy of sciences? Should it be? What are the exact roles of the actual empirical studies of mathematical practice (f.i. in mathematics education, sociology of mathematic, etc.)? How should these interact with the philosophy of mathematics?

We want to encourage work looking at the following three areas: First, we want to draw attention to the seminal work of Imre Lakatos. In addition to that we want to encourage work on the interplay of the philosophy of mathematics and the philosophy of science. Another possible string of investigation is the analysis of new scientific methodologies in the philosophy of mathematics.