Mathematical knowledge: a case study in empirical philosophy of mathematics
Benedikt Löwe, Thomas Müller, Eva Wilhelmus
Abstract:
In this paper, we present a paradigm for the philosopher of
mathematics who takes mathematical practice seriously: Empirical
Philosophy of Mathematics. In this philosophical paradigm, we use
empirical methods (from sociology, psychology, cognitive science,
didactics) to evaluate empirical questions connected to or derived
from philosophical positions about mathematics. The paper presents a
concrete case study.