Are strawberries bad for cats?

As I take a picture of George licking and rubbing the strawberries I just bought, I wonder...are strawberries bad for cats? A lot of plants are, and for that exact reason I don't have a lot of plants in the house because George would find a way to get to it and start eating it. Jones couldn't care a less, but George will balance on one paw if it will allow him access to some chlorophyll.