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Synonyms for Infer (same or very similar meaning)

WordNet sense 1 (draw from specific cases for more general cases):
extrapolate, generalize, generalise

WordNet sense 2 (conclude by reasoning; in logic):
deduce

WordNet sense 3 (reason by deduction; establish by deduction):
deduct, derive

WordNet sense 4 (guess correctly; solve by guessing):
guess

WordNet sense 5 (believe to be the case):
understand


From the ODE community, based on WordNetadd/edit