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Alexander Kruel @XiXiDu
, 4 tweets, 1 min read Read on Twitter
What does it mean to <understand> something? Here are some possible dimensions of understanding.
If you understand <X> then...
1. you possess compressed data about X in the form of a simple model, theory, algorithm or axiomatic system.
2. you can use #1 in order to make predictions or derive new facts about X.
3. you can use #1 in order to solve a concrete problem involving X.
4. you can derive general rules and concepts from #1 and apply them to different but related problems.
5. you can communicate knowledge about X by teaching/explaining/programming something to perform abilities #1-4.
6. you are able to rederive or rediscover abilities #1-5 from first principles.
7. you are able to consciously execute all of the aforementioned abilities.
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