It does not have to be a “human induced” dilemma, where you can try to wiggle out by placing the blame on the one who initiated the problem.
The street-car scenario comes to mind. You are at the driver seat of a run-away street car on a slope. There is a fork, and the signal tells you that the car will take the right track, if you do not interfere (by pushing a button). However, there are 5 people on the track, and you will run over them, if you choose inaction. If you press a button, the vehicle will take the left track, and will kill a solitary person.
You are in no way responsible for your predicament, it is an unfortunate interplay of the events. You have no other option, but to press the button, or choose inaction. But you must choose between action and inaction. What will you do?
The rational solution is to press the button. Since your two options both lead to an undesirable result, the rational choice is to minimize the harm. The irrational choice is to do nothing, and try the defense: “it was not my fault, do not blame me”. And we all should remember who was the one who washed his hands? These people try to hide behind the “defense” that inaction somehow carries a lower level of culpability. Of course they are wrong. Action and inaction both have consequences.
This and other dilemmas come up periodically. They are simple thought experiments, which force people to evaluate their moral foundations, and thus they are most useful. Very interesting to observe that so few people are willing to tackle these questions head-on. They try to escape the dilemma by declaring that it is “artificial”, or try to introduce a different solution (like jumping in front of the street car hoping that it will derail, and spare both endangered parties). Anything, but face the problem.