set up vs erect

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

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

As verbs, erect is a hypernym of set up; that is, erect is a word with a broader meaning than set up:

Other hypernyms of set up include rear.

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

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

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

set up (verb)	erect (verb)
get ready for a particular purpose or event	construct, build, or erect
make ready or suitable or equip in advance for a particular purpose or for some use, event, etc	cause to rise up
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