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1 ἀξίωμα
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. 1281b25.4 of things, worth, quality,οὐ τῷ πλήθει ἀλλὰ τῷ ἀ. Th.5.8
.5 concrete, things of dignity, Philostr.VS2.5.4.II that which is thought fit, decision, decree, , 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.
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Pythagoreans and Eleatics — Edward Hussey PYTHAGORAS AND THE EARLY PYTHAGOREANS Pythagoras, a native of Samos, emigrated to southern Italy around 520, and seems to have established himself in the city of Croton. There he founded a society of people sharing his beliefs and… … History of philosophy
