consequence (n.)

late 14c., "logical inference, conclusion," from Old French consequence "result" (13c., Modern French conséquence), from Latin consequentia, abstract noun from present-participle stem of consequi "to follow after," from assimilated form of com "with, together" (see con-) + sequi "to follow" (from PIE root *sekw- (1) "to follow").

Meaning "that which follows from or grows out of any act or course" is from c. 1400. Sense of "importance, significance" (1590s) is from notion of being "full of consequences."

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Definitions of consequence from WordNet

consequence (n.)
a phenomenon that follows and is caused by some previous phenomenon;
his decision had depressing consequences for business
Synonyms: effect / outcome / result / event / issue / upshot
consequence (n.)
the outcome of an event especially as relative to an individual;
Synonyms: aftermath
consequence (n.)
having important effects or influence;
that result is of no consequence
decisions of great consequence are made by the president himself
Synonyms: import / moment