Section Eight vs firing

Section Eight and firing both are nouns.

Word	Noun	Adjective	Verb	Adverb
Section Eight	Yes	No	No	No
firing	Yes	No	No	No

As nouns, firing is a hypernym of Section Eight; that is, firing is a word with a broader meaning than Section Eight:

Section Eight: a discharge from the US Army based on unfitness or character traits deemed undesirable
firing: the termination of someone's employment (leaving them free to depart)

Other hypernyms of Section Eight include discharge, dismissal, dismission, liberation, release, sack, sacking.

Section Eight (noun)	firing (noun)
a discharge from the US Army based on unfitness or character traits deemed undesirable	the act of setting something on fire
a soldier who received a Section Eight discharge as unfit for military service	the termination of someone's employment (leaving them free to depart)
	the act of discharging a gun
	the act of firing weapons or artillery at an enemy