 Only Euclidean geometry meets this criterion, so the conventional choice of Euclidean geometry is determined by the simplicity of interchangeability that “translated into analytical language […] means that there are fewer terms in the equations” (Poincaré 1898: 43). The empirical underdetermination of the groups has a purely contrastive (arbitrary) character if the groups are isolated from the background beliefs furnished by our mind (Stanford 2009). “Holistic” considerations (commodity, simplicity) overcome the empirical equivalence between different geometries and give more evidence for Euclidean geometry. In contrast to geometry, no choices between alternatives are given in arithmetic.