Do pets really know their own names?

I'm pretty sure dogs learn their names fairly quickly, I'm not so sure about cats, they may recognise their names but the nature of cats is that they will respond to calls or not depending on their inclination at the time. A dog will usually respond immediately when called, they may not come to you but they pay attention and show that they are aware you called them. One our dogs, a young chihuahua named Dickie looks at you and then usually carries on doing whatever he was doing before you so rudely interupted him lol. Maybe he is half cat