enter vs set about

enter and set about both are verbs.

Word	Noun	Adjective	Verb	Adverb
enter	No	No	Yes	No
set about	No	No	Yes	No

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

Other hypernyms of enter include begin, commence, get, get down, set out, start, start out.

enter (verb)	set about (verb)
set out on (an enterprise or subject of study)	take the first step or steps in carrying out an action
make a record of; set down in permanent form	enter upon an activity or enterprise
become a participant; be involved in	begin to deal with
put or introduce into something
come on stage
to come or go into
take on duties or office
register formally as a participant or member
be or play a part of or in