In one room, a child is about to die. In the other room, a demon is about to increase unemployment in your country by 1% for 3 years. You can either save the child or kill the demon, but not both. You:
Understanding the principle of something requires testing it. To understand more about oxygen, we don't sit there and look at it, we put it in very hot or cold chambers, or mix it with things, to learn about it from circumstances it would never normally be in.
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In this case, the thing isn't a chemical, but your moral intuition. To understand more about it, we can put it into strange situations it doesn't normally find itself in to learn how it behaves.
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Your 2+2=5 question doesn't really involve any principles with unknown or highly detailed properties, so I don't see how it's comparable.
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