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The trolley problem is a question of human morality, and an example of a philosophical view called consequentialism. This view says that morality is defined by the consequences of an action, and that the consequences are all that matter. But exactly which consequences are allowable?
It's a lovely day out, and you decide to go for a walk along the trolley tracks that crisscross your town. As you walk, you hear a trolley behind you, and you step away from the tracks. But as the trolley gets closer, you hear the sounds of panic -- the five people on board are shouting for help. The trolley's brakes have gone out, and it's gathering speed.
You find that you just happen to be standing next to a side track that veers into a sand pit, potentially providing safety for the trolley's five passengers. All you have to do is pull a hand lever to switch the tracks, and you'll save the five people. Sounds easy, right? But there's a problem. Along this offshoot of track leading to the sandpit stands a man who is totally unaware of the trolley's problem and the action you're considering. There's no time to warn him. So by pulling the lever and guiding the trolley to safety, you'll save the five passengers. But you'll kill the man. What do you do?
Peace. <3