ἀλόγως

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ὃ γὰρ βούλεται, τοῦθ' ἕκαστος καὶ οἴεται → what he wishes to be true, each person also believes to be true | what he wishes, each person also believes

Source

English (Woodhouse)

(see also: ἄλογος) unreasonably, unreasoningly

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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.).