Mathematics: Beauty vs Utility

Should mathematics be done for its pure beauty or should it have practical uses?

And why are many mathematicians so bad at outreach?

Discussion with famous French mathematician, Cédric Villani.

More Villani videos: http://bit.ly/Villani_Videos

Numberphile videos on Magic Squares: http://bit.ly/MagicSquareVideos

Cédric Villani website: http://cedricvillani.org

His book Birth of a Theorem (Amazon): http://bit.ly/BirthOfATheorem