To muse (reflexionar/meditar/rumiar/contemplar) on or about something is to think carefully about it. You can also “muse over” something: it means the same.
- Despite having mused (a pesar de haber meditado…) on the issues for many days, Mr. Sanchez, the Spanish Prime Minister, was unable to come up with solutions for the Spanish economy.
- I need to muse on the issues for a few seconds. Something similar is to “ponder on” the issues. So you could say “I need to ponder on the issues…
- Perhaps you could use these two sentences to begin your discussion or speaking about a topic for the Cambridge First and Advanced exams.
There is another important meaning.
A “muse” (musa) is a source (fuente) of creative inspiration: it could be an imaginary being (ente de razón) or a mortal. Two examples.
- Vienna, the Austrian capital city, was the composer´s home and his muse (su musa).
- My muse has left me – I have not written a poem for months.
So perhaps you often muse over the big issues in the world or a specific issue or problem, and when you feel like composing an opera or writing a poem, perhaps you consult your muse.