erect vs set up

erect is an adjective but set up is not an adjective.

Word	Noun	Adjective	Verb	Adverb
erect	No	Yes	Yes	No
set up	No	No	Yes	No

As verbs, erect and set up are synonyms defined as:

Other synonyms of erect include put up, raise, rear.

As verbs, set up is a hyponym of erect; that is, set up is a word with a more specific, narrower meaning than erect:

Other hyponyms of erect include pitch, cock up, prick, prick up.

erect (adjective)	set up (adjective)
upright in position or posture
of sexual organs; stiff and rigid

erect (verb)	set up (verb)
construct, build, or erect	get ready for a particular purpose or event
cause to rise up	make ready or suitable or equip in advance for a particular purpose or for some use, event, etc
	equip with sails or masts
	arrange thoughts, ideas, temporal events
	put into a proper or systematic order
	erect and fasten
	set up for use
	place
	create by putting components or members together
	construct, build, or erect
	begin, or enable someone else to begin, a venture by providing the means, logistics, etc.
	produce
	take or catch as if in a snare or trap
	arrange the outcome of by means of deceit
	set up or found