to believe (something) before there is proof

believe, take for granted

of know

understand information

to have information about a person, plan etc that is not available to everyone

understand information

to be fully conscious of, understand, (something); to exchange (property, business shares etc) for money

appreciate, become aware of

to know the meaning, nature, explanation, of (something); to learn (something) from a conversation, remark etc; to accept a word, statement, as meaning (something)

appreciate, comprehend