false belief vs fallacy

false belief and fallacy both are nouns.

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

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

false belief and fallacy: a misconception resulting from incorrect reasoning

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