"If we are to set up a system of axioms for a particular sort of geometry, two qualities are essential, and two desirable. The essential qualities are that: 1) They should be consistent. 2) They should contain all of the assumptions necessary for the purposes in hand. 3) They should be independent of one another and include nothing unnecessary. 4) The mathematical system built on them should be interesting rather than trivial. The first work where the problem of setting up geometrical axioms in this way was Pasch in 1882. The way opened by him was subsequently followed by a goodly number of others, among whom one might mention Peano, Pieri, Vahlen, HIlbert, E. H. Moore, R. L. Moore, Veblen, Huntington, and others or lesser note."