Hawking, who was in the Italian capital to attend a conference at the Pontifical Academy of Sciences and met Pope Francis on Monday, was taken to Rome's Gemelli hospital on Thursday night.
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The hospital, considered one of the country's best and where popes are treated, said Hawking was in a good condition and was returning to Britain.
Hawking, 74, suffers from motor neurone disease, speaks through a computer and travels with a staff that includes two nurses.
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