Suggested or understood without being stated directly; or complete and unquestioning (as in 'implicit trust').
From Latin 'implicitus' meaning 'entangled, involved', the past participle of 'implicare' (to entwine, to fold in). It contrasted with 'explicit', which means 'unfolded' or stated clearly.
Implicit ideas are ‘folded in’ to what you say, while explicit ideas are ‘unfolded’ and visible. This is why teachers push you to make your reasoning explicit: they want you to unfold what’s hidden inside your thoughts.
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