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intuit (v.)

1776, "to tutor," from Latin intuit-, past participle stem of intueri "look at, consider," from in- "at, on" (from PIE root *en "in") + tueri "to look at, watch over" (see tutor (n.)). Meaning "to perceive directly without reasoning, know by immediate perception" is from 1840 (De Quincey), in this sense perhaps a back-formation from intuition. Related: Intuited; intuiting.

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Definitions of intuit from WordNet

intuit (v.)
know or grasp by intuition or feeling;
From wordnet.princeton.edu