Synonyms for Anticipate (same or very similar meaning)
WordNet sense 1 (act in advance of; deal with ahead of time):
counter, foresee, forestall
WordNet sense 2 (be excited or anxious about):
look to, look for
WordNet sense 3 (make a prediction about; tell in advance):
call, forebode, foretell, predict, prognosticate, promise
WordNet sense 4 (realize beforehand):
foreknow, previse
WordNet sense 5 (regard something as probable or likely):
expect
From the ODE community, based on WordNet
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