Creativity Hierarchy

Last week the Q&A question was "What do you think the relations are between imagination, creativity, improvisational, and music composition"? I used my voucher for not turning in this Q&A, because I was very busy that week, but I still think that it is a good question and would like to answer it briefly in this blog post.

From chapter IV in "Bridges in Autonomy: Paradoxes in Teaching and Learning," the hierarchy between Imagination, creativity and improvisation is described like this:

When incorporating Music composition I think the hierarchy should be altered to look like this:

I propose that composing Music is a form of critical thinking. Also, Problem solving should be a subcategory of both improvisation and critical thinking because critical thinking is essential in problem solving, and not all problems are solved on a whim.

Question: What do you think of problem solving being a subcategory of both critical thinking and improvisation? Should it be under both? Why or why not?