sophism vs false belief

sophism and false belief both are nouns.

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

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

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

Other hypernyms of sophism include fallacy.

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