core vs set

core and set both are nouns.

Word	Noun	Adjective	Verb	Adverb
core	Yes	No	Yes	No
set	Yes	Yes	Yes	No

As nouns, set is a hypernym of core; that is, set is a word with a broader meaning than core:

core: a small group of indispensable persons or things
set: a group of things of the same kind that belong together and are so used

core (noun)	set (noun)
a bar of magnetic material (as soft iron) that passes through a coil and serves to increase the inductance of the coil	several exercises intended to be done in series
the chamber of a nuclear reactor containing the fissile material where the reaction takes place	the act of putting something in position
(computer science) a tiny ferrite toroid formerly used in a random access memory to store one bit of data; now superseded by semiconductor memories	representation consisting of the scenery and other properties used to identify the location of a dramatic production
the choicest or most essential or most vital part of some idea or experience	any electronic equipment that receives or transmits radio or tv signals
the central meaning or theme of a speech or literary work	(psychology) being temporarily ready to respond in a particular way
a small group of indispensable persons or things	a relatively permanent inclination to react in a particular way
the center of an object	the descent of a heavenly body below the horizon
the central part of the Earth	a group of things of the same kind that belong together and are so used
a cylindrical sample of soil or rock obtained with a hollow drill	an unofficial association of people or groups
	(mathematics) an abstract collection of numbers or symbols
	the process of becoming hard or solid by cooling or drying or crystallization
	a unit of play in tennis or squash

core (adjective)	set (adjective)
	set down according to a plan
	being below the horizon
	converted to solid form (as concrete)
	fixed and unmoving
	(usually followed by `to' or `for') on the point of or strongly disposed
	situated in a particular spot or position
	determined or decided upon as by an authority

core (verb)	set (verb)
remove the core or center from	arrange attractively
	produce fruit
	alter or regulate so as to achieve accuracy or conform to a standard
	put into a certain state; cause to be in a certain state
	set to a certain position or cause to operate correctly
	equip with sails or masts
	become gelatinous
	make ready or suitable or equip in advance for a particular purpose or for some use, event, etc
	get ready for a particular purpose or event
	fix conclusively or authoritatively
	estimate
	decide upon or fix definitely
	establish as the highest level or best performance
	urge to attack someone
	put into a certain place or abstract location
	fix in a border
	give a fine, sharp edge to a knife or razor
	insert (a nail or screw below the surface, as into a countersink)
	put or set (seeds, seedlings, or plants) into the ground
	put into a position that will restore a normal state
	adapt for performance in a different way
	locate
	set in type
	apply or start
	disappear beyond the horizon