Archimedes' axiom

(redirected from Hilbert's axioms)
Also found in: Wikipedia.

Archimedes' axiom

[¦är·kə¦mēd‚ēz ′ak·sē·əm]
(mathematics)
References in periodicals archive ?
Hilbert's axioms come in five groups, the first four comprising the Axioms of (I) Incidence, (II) Order, (III) Congruence and (IV) the Parallel Postulate.
The relations "to the right of" and "to the left of", which I have made use of here for clarity of statement, are easily definable from the primitive relations of Hilbert's axioms.
4) My discussion of Hilbert's axioms is based on the English translation (Hilbert 1971) of the 10th German edition.