I grew up with both dogs, and cats. I now only have cats. I've never been in hospital or seriously hurt from any cat I've ever encountered, but what stopped me from having dogs is the bad experiences I've had throughout the years. That pack mentality can be dangerous. I've been attacked by one dog, and suddenly, the rest join in. Most cats are like, "whatever" and leave. I think what makes cats more stubborn is simply their independence, and their history as being solitary hunters. When you rely on yourself most of the time, you don't grow too dependent on others. Dogs are very possessive too, and if they view you as an alpha and they perceive threat, they will engage.