jocosity vs fun

jocosity and fun both are nouns.

Word	Noun	Adjective	Verb	Adverb
jocosity	Yes	No	No	No
fun	Yes	No	No	No

As nouns, fun is a hypernym of jocosity; that is, fun is a word with a broader meaning than jocosity:

jocosity: fun characterized by humor
fun: verbal wit or mockery (often at another's expense but not to be taken seriously)

Other hypernyms of jocosity include play, sport.

jocosity (noun)	fun (noun)
the trait of merry joking	activities that are enjoyable or amusing
fun characterized by humor	violent and excited activity
	a disposition to find (or make) causes for amusement
	verbal wit or mockery (often at another's expense but not to be taken seriously)