Answer: Kant would say that Casey should not turn the train, because, even if she could save the lives of five people by killing one person, she would be violating that one person´s right to live.
Explanation:
In Kant´s deontological ethical theory, the basic law is the categorical imperative, which dictates that an action should be considered good based on the motive behind it, despite the actual outcome of such action. Right and wrong depend on the duties and obligations people have. For example, our duty is not to kill. However, the inflexibility of this philosophy leads to counterintuitive conclusions, such as the decision to allow five people to die instead of only one.