 Hilbert's nineteenth problem

Hilbert's nineteenth problem, proposed by David Hilbert in his list of 23 unsolved problems in mathematics presented in 1900, deals with the issue of the foundations of geometry, particularly focusing on the relationships between geometry and algebra. Specifically, Hilbert's nineteenth problem asks for the development of a systematic approach to the axiomatization of geometry. He wanted to explore whether it is possible to characterize the points, lines, and planes of geometry in terms of algebraic structures.