This makes me wonder... what happens if you open a Sears card (yesterday) and max it out with all kinds of fun stuff and then Sears goes out of business? Does someone come after you for money?
Debt gets bought and sold all the time, you don't typically notice because you don't have to change who you're paying directly.
Of course this is a pretty dumb risk to take, even if you were able to resell the valuable items you bought like TVs, tools, and jewelry