A.without λόγος, hence,
I. speechless, Pl.Lg.696e. Adv. “-ως” without speech, S.OC131, Isoc.3.9:—ἄ. ἡμέρα, = Lat. dies nefastus, on which no business may be done, Luc.Lex.9.
b. lacking in eloquence, LXX Ex.6.12.
II. unreasoning, ἡδονή, ὄχλος, etc., Pl.R.591c, Ti.42d, etc.; “τὰ ἄλογα” brutes, animals, Democr.164, Pl.Prt.321b, X.Hier.7.3; esp.in late Greek, ἄλογον, τό, = horse, POxy. 138.29 (610 A.D.), PGen.14 (late).
2. not according to reason, irrational, ἄ. δόξα, opp. ἡ μετὰ λόγου δ., Pl.Tht.201c; ἀλόγῳ πάθει τὴν ἄ. συνασκεῖν αἴσθησιν, instinctive feeling, in appreciating works of art, D.H.Lys.11; “ἄ. πάθος” Id.Comp.23.
3. contrary to reason, absurd, Th.6.85, Pl.Tht.203d; unaccountable, unintelligible, Lys.26.19; unfit, unsuited to its end, Th.1.32; groundless, Plb.3.15.9; “ἀηδία” PRyl.144.15 (38 A.D.). Adv. most freq. in this sense, Pl.R. 439d, etc.; “οὐκ ἀ. οὐδ᾽ ἀκαίρως” Isoc.15.10: Sup. “-ώτατα” Phld.Ir. p.44 W.
III. without reckoning:
1. not reckoned upon, unexpected, Th.6.46 (Comp.).
2. not counted, null and void, “ἡμέραι” LXX Nu.6.12.
3. Act., not having paid one's reckoning, of an ἐρανιστής, EM70.31.
IV. of magnitudes, incommensurable, περὶ ἀλόγων γραμμῶν, title of work by Democr., cf. Arist.APo. 76b9, LI968b18, Euc.10.Def.10, etc.
2. in Rhythm, irrational, of feet or syllables whose time-relations cannot be expressed by a simple ratio, “χορεῖος” Aristox.Rhyth.2.20; ἄλογοι, sc. συλλαβαί, D.H. Comp.20:—in Music, “ἄ. διαστήματα” Plu.2.1145d:—of the pulse, unrhythmical, Herophil. ap.Ruf.Syn.Puls.4.3.