LATIN DICTIONARYLexicon Latīnum
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“implication” in Latin

The English word implication itself goes back to Latin plicō, through implicationem.

Riddle & Arnold A Copious and Critical English–Latin Lexicon, 1864

implication
Entanglement, implicatio (e.g., nervorum).
An implied consequence; a tacit inference, etc., by circumlocution. By implication, implicite et abscondite (opposed to patentius et expeditius, Cic.; but this implies the necessity of disentangling, as it were, the implied fact or consequence): quodammodo tacite (silently, as it were; not by an explicit statement). The law itself, by implication, gives him the right of defending, etc., quodammodo tacite dat ipsa lex potestatem defendendi (Cic., Mil., 4, 11).

Quick answer

What is the Latin word for implication?
The usual Latin words for “implication” are implicātiō, nervus. The right choice depends on the sense; see the distinctions below.

Entry from J. E. Riddle & T. K. Arnold, A Copious and Critical English–Latin Lexicon (rev. C. Anthon, New York: Harper, 1864), digitised by Fergus J. P. Walsh, CC BY-SA 4.0; Latin markup adapted by latindictionary.co.