sophistry vs false belief

sophistry and false belief both are nouns.

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

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

sophistry: 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 sophistry include fallacy.

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