Hey Ahtoh, I shall provide you with an explanation about the difference between these two words: 1) 'to muse': it is a verb that means ''to be absorbed in one's thoughts; engage in thought.'' You use it in a sentence when you are in a state of reflection and wish to consider or say something thoughtfully. E.g.: ''She mused that it might take longer to drive than walk.'' E.g.: ''Shall we leave now?'', he mused. * You may also use the phrasal verb ''muse over'' to indicate that you reflect or meditate on someone or something. E.g.: ''I was just musing over my sister and the way she has changed.'' E.g.: ''Mom seems a little strange - she must be musing over dad's behaviour!'' 2) 'Amuse': it means ''to hold the attention of someone (= entertain a person)'', ''to cause to laugh or smile by being funny.'' E.g.: ''I amused myself with a puzzle.'' E.g.: ''He amused the whole crowd with jokes.'' E.g.: ''You must keep the guests amused at dinner.'' Hope that helps!!!

to muse - to be absorbed in thought, to be deep in thought to amuse - someone - to entertain them, usually with something funny . Chalk and cheese really. Rather like asking what's the difference between "up" & "a carrot" :) Enjoy. PS "A muse" (noun) is someone musical, traditionally an assistant to aid creativity, usually in music, but could be other areas.