 The insight that geometry is the result of a genesis where the description and the construction of objects are two aspects of the same procedure leads to an alternative interpretation of Quine’s thesis of the incompleteness of mathematical objects and the ideas to which they belong. The freedom that we have to choose a geometric distance function is due neither to a general skepticism nor to a purely verbal accommodation with respect to a set theoretic development of the foundations of mathematics that itself possesses ontological commitment, but rather to an ontological peculiarity of a new sort (Quine 1986: 401). Structures (groups) are not patterns whose positions are given entities. The genesis of the geometrical metric structure is as the advent of relations linked to the concrete in an aesthetic analysis of the general idea, rather than either the creation of the concrete material from the general idea (a group) or as the creation of the category (a group) from the concrete. What Poincaré calls “objective reality common to many thinking beings” is exactly the “harmony expressed by mathematical laws” (Poincaré 1905b: 23; 1913b: 209). To move along this predefined track of a reconciliation of aesthetic sensitivity and cognition leads directly to Nelson Goodman (1969).