People, Property, or Pets?

A child can't be owned, but parents are legally responsible for their child's care. A painting and a dog can be owned; both fall under the jurisdiction of the law and in particular, property rights. But why should a dog, man's best friend, an animal with a mind and emotions, fall under the same category as a painting? How could the law be so foolish? Requiring legal guardianship for animals would have radical consequences for how we live our lives.