ἀλόγως
From LSJ
καὶ παρὰ δύναμιν τολμηταὶ καὶ παρὰ γνώμην κινδυνευταὶ καὶ ἐν τοῖς δεινοῖς εὐέλπιδες → they are bold beyond their strength, venturesome beyond their better judgment, and sanguine in the face of dangers
English (Woodhouse)
(see also: ἄλογος) unreasonably, unreasoningly
French (Bailly abrégé)
adv.
I. sans parler, en silence;
II. sans raison :
1 sans motif;
2 sans réflexion.
Étymologie: ἄλογος.
Russian (Dvoretsky)
ἀλόγως:
1) безрассудно, неразумно (ἐπισπᾶσθαι τὴν ὁρμήν Plut.): ἀ. ἔχειν Dem. быть неразумным;
2) без оснований, беспричинно (οὐκ ἀ., ἀλλ᾽ εἰκότως Isocr.);
3) безмолвно, молча (ἀφώνως, ἀ. Soph.).