"[We must] recover the awareness that there are higher and lower levels of knowledge. The lower level deals with what [Schumacher] termed "convergent" problems, that are solvable through logic or scientific research. "Divergent" problems, on the other hand, are those that require accomodating irreconcilable things in ways that challenge our central convictions. They require us to know that what we believe can only be resolved by a higher level of reasoning grounded in "love, beauty, goodness, and truth"."
David Orr, commentary in E.F. Schumacher Small is beautiful.
I am a person who likes when a problem can be solved by logic (that's why I chose to become a researcher), and hates when it cannot, because then I don't know which of the many possible solutions to choose, and whether I will choose the best one. This is when you have to listen to our heart, and put your reason on the side.