Synonyms for Observe (same or very similar meaning)
WordNet sense 1 (conform one's action or practice to):
keep
WordNet sense 2 (celebrate, as of holidays or rites):
celebrate
WordNet sense 3 (show respect towards):
honor, respect, honour, abide by
WordNet sense 4 (follow with the eyes or the mind):
follow, watch, keep an eye on, watch over
WordNet sense 5 (discover or determine the existence, presence, or fact of):
discover, find, notice, detect
WordNet sense 6 (observe with care or pay close attention to):
note, take note
WordNet sense 7 (make mention of):
mention, remark
WordNet sense 8 (observe correctly or closely):
maintain
From the ODE community, based on WordNet
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