Meaning

verb reason by deduction; establish by deduction

verb conclude by reasoning; in logic

originFrom Late Middle English deducen (“to demonstrate, prove, show; to argue, infer; to bring, lead; to turn (something) to a use; to deduct”), borrowed from Latin dēdūcere, the present active infinitive of dēdūcō (“to lead or bring out or away; to accompany, conduct, escort; (figuratively) to derive, discover, deduce”); from dē- (prefix meaning ‘from, away from’) + dūcere (the present active…

Etymology from Wiktionary, CC BY-SA 3.0