Noun
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the source of an artist's inspiration
"Euterpe was his muse"
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in ancient Greek mythology any of 9 daughters of Zeus and Mnemosyne
protector of an art or science
Verb
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reflect deeply on a subject
"I mulled over the events of the afternoon"
"philosophers have speculated on the question of God for thousands of years"
"The scientist must stop to observe and start to excogitate"
- chew over - think over - mull over