Late Middle English (in the sense ‘having the ability to reason’): from Latin rationalis, from ratio(n-) ‘reckoning, reason’, from rat ‘reckoned’, from the verb reri—the source also of ratio, rate, reason, etc.

Middle English: from Old French juge (noun), juger (verb), from Latin judex, judic-, from jus ‘law’ (the source also of just (Late Middle English), justice (Old English), injury (Late Middle English), etc.) + dicere ‘to say’

Late Middle English via Old French logique and late Latin logica from Greek logikē (tekhnē) ‘(art) of reason’, from logos ‘word, reason’

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