One of the reasons why I think it is important to get a taste of completely other fields of study is that you are introduced to completely different ways to think. What I've noticed with the friends from high school that I still regularly talk to is that the way of thinking taught in their field of study permeates into their regular thinking. 'Looking over the fence' helped me better understand how I think and how they think.
In my experience, the most innovative, groundbreaking research tends to come from people with background in multiple fields. Taking insights from one discipline and bringing them into another is so important.One of the reasons why I think it is important to get a taste of completely other fields of study is that you are introduced to completely different ways to think.