Zur Unabhängigkeit von Hilberts Axiomen des affinen Raumes
The aim of this article is to classify the incidence structures obtained in the following way: Assume that Hilbert's axioms, defining a classical affine space, are all satisfied except the uniqueness of the plane containing three given non-collinear points. Then, if the uniqueness of the plane is really not satisfied, such an incidence structure must be finite and, eliminating some entirely trivial variations, 39 models exist.
scientific article; zbMATH DE number 3929824
scientific article