How progressive is The Republic with regards to the treatment of women?

Socrates believed that women should be given the same education, music and gymnasium, as their male counterparts. However, he says that though the two sexes share identical pursuits, comparatively, males quantitatively surpass females in these pursuits nearly always.

For a more detailed look at Book V, check out Gradesaver's summary and analysis at the link provided below.

http://www.gradesaver.com/the-republic/study-guide/summary-book-v