One shouldn't ignore intuition, empathy, or a gut feeling. It's a useful signal. But that's all it is. There are true results that go against emotion, intuition

One shouldn't ignore intuition, empathy, or a gut feeling. It's a useful signal. But that's all it is. There are true results that go against emotion, intuition, and just feel wrong. In math, Banach Tarski is a perfect example. http://en.wikipedia.org/wiki/Banach%E2%80%93Tarski_paradox http://en.wikipedia.org/wiki/Banach%E2%80%93Tarski_paradox If you want to use empathy as a hint to keep digging for a better solution, be my guest. I just object to using empathy as a basis for morality. Similarly, mathematical intuition isn't a substitute for a proof.