A lot vs. Alot: 9 Grammatical Pitfalls
1530s, from Medieval Latin connotationem (nominative connotatio), from connotat-, past participle stem of connotare "signify in addition to the main meaning," a term in logic, literally "to mark along with," from Latin com- "together" (see com-) + notare "to mark" (see note).
A word denotes its primary meaning, its barest adequate definition -- father denotes "one that has begotten." A word connotes the attributes commonly associated with it -- father connotes "male sex, prior existence, greater experience, affection, guidance."
The meaning that a word suggests or implies. A connotation includes the emotions or associations that surround a word. For example, the word modern strictly means “belonging to recent times,” but the word's connotations can include such notions as “new, up to date, experimental.”
in logic, correlative words that indicate the reference of a term or concept: "intension" indicates the internal content of a term or concept that constitutes its formal definition; and "extension" indicates its range of applicability by naming the particular objects that it denotes. For instance, the intension of "ship" as a substantive is "vehicle for conveyance on water," whereas its extension embraces such things as cargo ships, passenger ships, battleships, and sailing ships. The distinction between intension and extension is not the same as that between connotation and denotation.