false belief vs sophism

false belief and sophism both are nouns.

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

As nouns, sophism is a hyponym of false belief; that is, sophism is a word with a more specific, narrower meaning than false belief:

false belief: a misconception resulting from incorrect reasoning
sophism: a deliberately invalid argument displaying ingenuity in reasoning in the hope of deceiving someone

Other hyponyms of false belief include pseudoscience, logical fallacy, pathetic fallacy, sophistication, sophistry, paralogism.

false belief (noun)	sophism (noun)
a misconception resulting from incorrect reasoning	a deliberately invalid argument displaying ingenuity in reasoning in the hope of deceiving someone