admit: To agree to the truth of, usu, something bad.
It suggests reluctance or possible objection.
He admitted his crime/stealing.
(自白 供认) confess: To admit guilt as to a crime or as to a shortcoming, in the sense of making known to others one's own error or wrong doing.
He confessed his fault/doing something wrong.
acknowledge: to agree the truth of, recognize the fact or existence of what have said or done, good or bad.
It emphasizes openly in a embarrassing or awkward and usually not voluntary way.
I acknowledged my signature/mistakes/errors/having been defeated.
grant: To admit or to agree something is true.
I granted his request/his honesty.
take sth/sb for granted.
concede: To admit as true, just or proper often unwillingly because of overwhelming evidence.
I conceded you that point, but I still think you are wrong.
recognize: To accept or acknowledge it.
It refers to something about law and diplomacy.
The new regime was recognized by China.
