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Related to axiomatical: Axioms


 (ăk′sē-ə-măt′ĭk) also ax·i·o·mat·i·cal (-ĭ-kəl)
Of, relating to, or resembling an axiom; self-evident: "It's axiomatic in politics that voters won't throw out a presidential incumbent unless they think his challenger will clean house" (Peter Grier).

ax′i·o·mat′i·cal·ly adv.
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Adj.1.axiomatical - of or relating to or derived from axioms; "axiomatic physics"; "the postulational method was applied to geometry"- S.S.Stevens
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What we saw there was an elegant axiomatical construction and the theorem to which this construction led.