abstract:Foundations of geometry is the name given to the study of geometries as axiomatic systems. There are several sets of axioms which give rise to Euclidean geometry and also to non-Euclidean geometries.
Although Riemann, who died at the age of only 39, also laid the foundations in geometry for Einstein's general theory of relativity, his paper on prime sattracted little attention in the decades after it was first published.