Check out an interesting discussion of Horizontal and Vertical Thinking at ZenPundit. There mark asks the interesting question, can we do anything to improve our frequency of learning by 'insight'?
Among the highest level creative thinkers, both horizontal and vertical types of thinking appear to be working together to get the job done. Pure vertical thinking may fail by not casting the net wide enough, while pure horizontal thinking may fail by not selecting the best match.
Intuitive thinking is somewhat mysterious because most of it seems to be below the level of conscious thought, but we think it can be fostered and cultivated, though with different approaches than conscious deductive or analytical thought.
Interestingly, mark's post mentions Edward De Bono. At least in our elementary understanding of De Bono's work, we did not view his Lateral (or Horizontal? ) approach to thinking as being Intuitive - rather it seemed to be a rigorous Conscious or Cognitive approach to generating Horizontal data.
That's not exactly what biographies suggest the Intuitive process is like for some thinkers - nor in our intuitive experiences as well. What we'd like to think about more in future posts is how Intuitive or Insight-Based approaches to problem solving can be enriched or improved. There's quite a lot of autobiographical and biographical material on this subject.