These kinds of exercises are useful in the practice of learning how to think. A commenter on the "Ask HN" question about good resources to learn about systems

These kinds of exercises are useful in the practice of learning how to think. A commenter on the "Ask HN" question about good resources to learn about systems thinking mentioned the need to have a good understanding of stateful systems. Hilbert's Hotel is about state transition, it seems to me. More prosaically, I thought of using Thompson's Lamp as an example to train some colleagues on how to use Matt Wynne's Example Mapping. The puzzles it presents might distract from the main point of the exercise though!