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Synonyms for Consequence (same or very similar meaning)

WordNet sense 1 (a phenomenon that follows and is caused by some previous phenomenon):
effect, event, issue, result, upshot, outcome

WordNet sense 2 (the outcome of an event especially as relative to an individual):

WordNet sense 3 (having important effects or influence):
import, moment, import

From the ODE community, based on WordNetadd/edit