Section: Axioms of Order and Their Consequences

The next group of axioms comprises rules governing the "between" relation of points that lie on a straight line and allows ordering points on a line. Hilbert did not invent these axioms by himself but used the work of Moritz Pasch (1843 - 1930), who also worked on the foundations of geometry before him.

  1. Axiom: "Between" Relation, Axioms of Order

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  1. Hilbert, David: "Grundlagen der Geometrie", Leipzig, B.G. Teubner, 1903