For me it's about forcing some boredom into your life. With the Internet and TV I feel hyper stimulated all the time. To find entertainment I merely collapse into my chair, click a few buttons, and begin passively consuming.
Without something neurotically occupying my attention (ie internet) I quickly become bored. When bored I then proceed to think through everything I could possibly do, prioritize the ideas, and choose one to act upon. Even if I end up watching a television show the important thing is that I chose to watch that specific show rather than passively accepting whatever was being played at the time. I have not had TV in a long time, so that's not a problem, but whenever I've momentarily had no internet I find I eat better, exercise more, have a cleaner house, and knock more things off of my to do lists.
It's not that I want to go without internet, it's just that I do not want the internet at home. I've been without it before and really enjoyed the experience, now I just have to make the leap of canceling internet completely.