consider vs muse

consider is not a noun while muse is a noun.

Word	Noun	Adjective	Verb	Adverb
consider	No	No	Yes	No
muse	Yes	No	Yes	No

As verbs, muse is a hypernym of consider; that is, muse is a word with a broader meaning than consider:

consider (noun)	muse (noun)
	the source of an artist's inspiration

consider (verb)	muse (verb)
deem to be	reflect deeply on a subject
take into consideration for exemplifying purposes
regard or treat with consideration, respect, and esteem
judge or regard; look upon; judge
show consideration for; take into account
think about carefully; weigh
give careful consideration to
look at attentively
look at carefully; study mentally