ἀσυλλογίστως

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τούτου δὲ συμβαίνοντος ἀναγκαῖον γίγνεσθαι πάροδον καὶ τροπὰς τῶν ἐνδεδεμένων ἄστρων → but if this were so, there would have to be passings and turnings of the fixed stars

Source

French (Bailly abrégé)

adv.
ἀσυλλογίστως ἔχειν τινός PLUT sans raisonner sur qch.
Étymologie: ἀσυλλόγιστος.

Russian (Dvoretsky)

ἀσυλλογίστως:
1) непоследовательно, нелогично (λέγειν Arst.);
2) в неведении: ἀ. ἔχειν τινός Plut. совершенно не знать чего-л.