I suggest that you start caring about "stuff like that." If the credit card companies find out that the person they're billing is dead, the liability for payment falls onto the person's estate. They get their money before you get yours. Credit card debt (and all other forms of debt) don't simply disappear because someone dies.

Drawing up a will is so damn easy and cheap, and yet so many people just don't care to get it done. If you want to see a legal nightmare which gets drawn out over years, even decades, watch what happens to the estate of a person who dies without leaving a will. It's not pretty, and it literally tears families apart.