muse1
  
  n.
  - 
(Muse)
 (in Greek and Roman mythology) each of nine goddesses who preside over the arts and sciences.
- a woman, or a force personified as a woman, who is the source of inspiration for a creative artist.
Etymology
  ME: from OFr., or from L. musa, from Gk mousa.
 
  
    
muse2
  
  v.
 
(
often muse on)
 be absorbed in thought. 
▸say to oneself in a thoughtful manner.
Derivative
  
    - musing adj.
- musingly adv.
 
  Etymology
  ME: from OFr. muser ‘meditate, waste time’.