Why is the ninth month called September?
late 14c., "to enfold, enwrap, entangle" (the classical Latin sense), from Old French emplier, from Latin implicare "involve" (see implication). Meaning "to involve something unstated as a logical consequence" first recorded c.1400; that of "to hint at" from 1580s. Related: Implied; implying. The distinction between imply and infer is in "What do you imply by that remark?" But, "What am I to infer from that remark?"