There's a great post at What Makes Them Click that explains research detailing the 4 types of creativity. Above is a matrix showing how they relate and descriptions are below:
"Thomas Edison"
...In order for deliberate, cognitive creativity to occur, you need to already have a body of knowledge about one or more particular topics. When you are being deliberatively and cognitively creative you are putting together existing information in new and novel ways.
To read the full, original article click on this link: What are the four types of creativity?