fallacy vs false belief

fallacy and false belief both are nouns.

Word	Noun	Adjective	Verb	Adverb
fallacy	Yes	No	No	No
false belief	Yes	No	No	No

As nouns, fallacy and false belief are synonyms defined as:

fallacy and false belief: a misconception resulting from incorrect reasoning

fallacy (noun)	false belief (noun)
a misconception resulting from incorrect reasoning	a misconception resulting from incorrect reasoning