It takes logic to become wise about a problem;
https://tse1.mm.bing.net/th?id=OIP.gfGcxiuBBtPdTNjyrL0-tQHaEZ&pid=Api
whereas, you must have wisdom to think logically about the outcome.
http://wwwpopblogger.blogspot.com/2015/01/words-of-relevance-wise-old-man-to.h