A.non-syllogistic, formally or materially invalid, “χρῆσις” Arist.APo.91b23, cf. Rh.1357b24, Phld. Rh.2.24S.; irrelevant, “ἀ. πρὸς τὸ προκείμενον” Anon.in SE16.33.
II. Act., not reasoning justly, unreasoning, Arist. SE167b35, cf. Plb.12.3.2; “ἀσυλλόγιστόν ἐστιν ἡ πονηρία” Men.768: c.gen., not rationalizing, “διάθεσις ἀ. τινῶν” Chrysipp.Stoic.3.117; ἀ.τοῦ συμφέροντος not calculating it, J.AJ9.12.3; “τοῦ χρησίμου” Porph.Abst. 1.7. Adv.“-τως, λέγειν” Arist.APo.77b40; “ἀ. ἔχειν τινός” Plu. Caes.59.