idea vs persuasion

idea and persuasion both are nouns.

Word	Noun	Adjective	Verb	Adverb
idea	Yes	No	No	No
persuasion	Yes	No	No	No

As nouns, persuasion is a hypernym of idea; that is, persuasion is a word with a broader meaning than idea:

idea: a personal view
persuasion: a personal belief or judgment that is not founded on proof or certainty

Other hypernyms of idea include opinion, sentiment, thought, view.

idea (noun)	persuasion (noun)
the content of cognition; the main thing you are thinking about	a personal belief or judgment that is not founded on proof or certainty
your intention; what you intend to do	the act of persuading (or attempting to persuade); communication intended to induce belief or action
an approximate calculation of quantity or degree or worth
a personal view
(music) melodic subject of a musical composition