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.
4. you can derive general rules and concepts from #1 and apply them to different but related problems.
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.