A.that of which one is thought worthy, an honour, “γάμων . . ἀξίωμ᾽ ἐδέξατο” E.Ion62; οἳ τὰς πόλεις ἔχουσι κἀξιώματαib. 605; “κοινῆς τραπέζης ἀ. ἔχειν” Id.Or.9; τὸ τῆς πόλεως ἀ. the dignity of the city's representative, D.18.149.
2. honour, reputation, E.Supp. 424, Th.2.65, etc.; “ὢν ἐν ἀξιώματι ὑπὸ τῶν ἀστῶν” Id.6.15; “τὸ τῶν ἐλευθέρων γυναικῶν ἀ.” D.59.113: c. gen. objecti, ἀ. ἔχειν ἀρετῆς claim on ground of merit, Arist.Pol.1281b25.
5. concrete, things of dignity, Philostr.VS2.5.4.
II. that which is thought fit, decision, decree, “δαιμόνων” S.OC1452, cf. 1459; “τὰ τῶν προγόνων ἀ.” D.18.210; “ἀ. κενὰ καὶ νομοθεσίαι” Epicur.Ep.2p.36U.
2. in Science, that which is assumed as the basis of demonstration, selfevident principle, Arist.Metaph.997a7, 1005b33, APo.72a17, Polystr. p.16 W.:—Math., axiom, Arist.Metaph.1005a20, etc.; philosophical doctrine, τὸ Ζήνωνος ἀ. ib.1001b7, cf. Xen.979b22; logical proposition, Chrysipp.Stoic.2.53,63, etc.