His wish singled out wisdom because his work called for wisdom. In the events leading up to Solomon's appointment as king, the matter of wisdom played a key role. Interestingly, the concept of skill is at the very heart of wisdom. Both are from the same Hebrew word and are often used interchange ably. Whereas skill and wisdom are closely connected in meaning, it is important to understand that they are not merely technical in function.
Wisdom has a moral dimension.
It was seen in Solomon's ability to make sound judgments in difficult situations. One of his most famous decisions involved the conflict between two harlots who were in dispute over a living and a dead child. When Solomon decreed that the living child be literally divided between the two mothers, his ruling exposed the rightful mother who naturally was willing to spare the child by forfeiting him to the other woman. By this Solomon knew to whom the child belonged. Solomon, it could be argued, is the earthly progenitor of godly wisdom.