Pier foundation for small addition

I plan building a 8x12 foot addition to extend my kitchen. The house has a traditional concrete form foundation with a basement. However, I plan on going the concrete pier way with the addition much like you would build a deck. Of course the piers will extend down past the frost line, but I don't know which of the 2 methods below would be best:

1. One large pier in the corner of the addition, with the floor joists tied into the existing structure or...

2. Four piers in each corner without the joists tied directly into the existing structure

Off the top of my head, I prefer 4 piers, but that also provides that much more opportunity for shifting and settling.
What would be the best option?

 

First, you know you have to run this past your permit department. They will tell you if you can do the piers or not. They may require a continuous footing, so be prepared. How are you going to handle the roofline??

 

Not a good plan, go with a full foundation. The room will stay level, be warmer and cooler depending on the season. Also most building dept. will not even allow one on just piers.