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In a traditional sense, intelligence is the ability to draw abstract principles from concrete data, to manipulate and integrate those abstracts into a unified edifice of thought, and to apply that edifice of thought in a cogent manner to new data and ideas.
People are able to execute the above proccess to different disciplines with varying degrees of success. Some may do it better with Math, others with Music Theory, others with creative writing.
The ability to maintian a large mental reserve of facts and data (memorization) is not intelligence in itself, but it aids the above process in that the constructed edifice of thought can take more data into account without relying on external references.
Also, being able to beat "Dance Dance Revolution" probably counts.
-sm
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