fall vs die

fall and die both are nouns.

Word	Noun	Adjective	Verb	Adverb
fall	Yes	No	Yes	No
die	Yes	No	Yes	No

As verbs, die is a hypernym of fall; that is, die is a word with a broader meaning than fall:

fall: die, as in battle or in a hunt
die: pass from physical life and lose all bodily attributes and functions necessary to sustain life

fall (noun)	die (noun)
a sudden drop from an upright position	a small cube with 1 to 6 spots on the six faces; used in gambling to generate random numbers
the act of surrendering (usually under agreed conditions)	a device used for shaping metal
a lapse into sin; a loss of innocence or of chastity	a cutting tool that is fitted into a diestock and used for cutting male (external) screw threads on screws or bolts or pipes or rods
a sudden sharp decrease in some quantity
a free and rapid descent by the force of gravity
a sudden decline in strength or number or importance
when a wrestler's shoulders are forced to the mat
a movement downward
a downward slope or bend
the season when the leaves fall from the trees
the time of day immediately following sunset

fall (verb)	die (verb)
occur at a specified time or place	pass from physical life and lose all bodily attributes and functions necessary to sustain life
decrease in size, extent, or range	disappear or come to an end
pass suddenly and passively into a state of body or mind	suffer spiritual death; be damned (in the religious sense)
be born, used chiefly of lambs	stop operating or functioning
come out; issue	lose sparkle or bouquet
assume a disappointed or sad expression	to be on base at the end of an inning, of a player
begin vigorously	cut or shape with a die
come as if by falling	be brought to or as if to the point of death by an intense emotion such as embarrassment, amusement, or shame
be cast down	languish as with love or desire
go as if by falling	feel indifferent towards
fall or flow in a certain way	suffer or face the pain of death
move downward and lower, but not necessarily all the way
move in a specified direction
descend in free fall under the influence of gravity
slope downward
drop oneself to a lower or less erect position
lose an upright position suddenly
to be given by assignment or distribution
be captured
fall to somebody by assignment or lot; passed
come into the possession of
to be given by right or inheritance
be inherited by
lose office or power
yield to temptation or sin
suffer defeat, failure, or ruin
lose one's chastity
die, as in battle or in a hunt
be due
come under, be classified or included
touch or seem as if touching visually or audibly
fall from clouds