That's true. In the context of a logic puzzle, we're supposed to assume that a card is a logical entity— having two states, face up and face down, belonging exc

That's true. In the context of a logic puzzle, we're supposed to assume that a card is a logical entity— having two states, face up and face down, belonging exclusively to one deck, etc. If the puzzle relies on doing things such as tearing a card or turning on the lights that don't really make logical sense, you would usually call it a lateral thinking puzzle instead. Obviously some people take a lateral approach to logic puzzles like this and declare it "solved", which is a perfect segue into a lengthy discussion on what the criteria for solving such a thing actually are, and who judges that.