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by yomritoyj
2614 days ago
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This is not necessarily a wrong thing to teach. As one progresses from old things that are well-understood to new developments,students will have to deal with fuzziness and gaps. They must learn to make progress using a heuristic feel for the subject instead of complete rigour. Too sensitive an alarm for missing foundations will actually stop them from being productive. Think of how much time passed between the invention of calculus and the development of rigorous analysis. |
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The terrible incentives for professors to quickly make graduate students useful, rather than invest in fundamental understanding that won't pay off for many years after they graduate, should also lead us to suspect the correct balance isn't being struck.