presence vs belief

presence and belief both are nouns.

Word	Noun	Adjective	Verb	Adverb
presence	Yes	No	No	No
belief	Yes	No	No	No

As nouns, belief is a hypernym of presence; that is, belief is a word with a broader meaning than presence:

Other hypernyms of presence include feeling, impression, notion, opinion.

presence (noun)	belief (noun)
the act of being present	any cognitive content held as true
dignified manner or conduct	a vague idea in which some confidence is placed
the impression that something is present
the immediate proximity of someone or something
an invisible spiritual being felt to be nearby
the state of being present; current existence