Pasch viewed geometry as a natural science, whose successful utilization by other sciences and in practical life rests “exclusively on the fact that geometrical concepts originally agreed exactly with empirical objects” (Pasch 1882, p. iii). Geometry distinguishes itself from other natural sciences because it obtains only very few concepts and laws directly from experience, and aims at obtaining from them the laws of more complex phenomena by purely deductive means. The empirical foundation of g