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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.

| | | | created: 2019-12-26 13:28:01 | modified: 2019-12-26 13:31:32 | by: bookofproofs | references: [8324]

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

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Bibliography (further reading)

[8324] Hilbert, David: “Grundlagen der Geometrie”, Leipzig, B.G. Teubner, 1903