Reason and Logic: An Inquiry

In Chinese caligraphy, the symbol for "mind" represents "heart" as well. It is evident that they took it for granted that reason operates in the context of feelings and emotions.

Unless you are under a religious persuasion, you are most likely to adhere to the so-called "enlightenment" principles of the truth of reason and logic, but isn't it possible that reason and logic have their limitations? What about explaining infinity, or other abstract concpets? I look forward to hearing some of your answers.