Why are the humanities important?

I was invited to give a 5 minutes talk to a rather large group of students commencing their studies in one of the programmes offered by the Faculty of Humanities on 26 August, 2015.
This is more or less what I said.

Did the humanities change the world?

My colleague Rens Bod has convincingly argued that they did. Here is an extra argument which is so obvious that it is often forgotten.