If there is question asked by a user who is not very familiar with mathematics, how far should the answer go? Is it better to have rigorous answers full of terminology and generalization of the result, or to explain in a not so mathematically rigorous but intuitive way which is easy for beginners (like me) to pick up?
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Both. If you want to do one, do one. If you want to do the other, do the other. Answers are not only for the asker.