I think it also depends on what stage you're at with regards to your learning curve for photography. I was contemplating a low-end DSLR and the G11 when I first picked up the interest in November last year. I asked around friends who were more serious photographers, and in the end I bought the G11.
If you're a beginner and just starting out, the G11 will provide you with sufficient manual controls for you to adjust your settings. Getting a DSLR will involve further additional costs, such as lenses, storage, etc, as what Octarine has mentioned. I'm looking at getting a DSLR in the near future, but right now I'm also looking at the cost, availability and quality of the respective brands' lenses and other accessories before deciding which brand to go for. From your two choices in your question, I'm guessing you're just starting out (like me), so you decide how much you're prepared to spend on this hobby for yourself.
If money isn't a problem, then you can buy whatever you want. But if you're restricted by a small budget, I would recommend you get the G11, play around with it, find out what you like to shoot and learn the basics. When you have a clearer idea, take it from there.
Just my two cents.