There are many traits which define wisdom and many ways to become a wise person.
Being inquisitive is an a trait of a wise person, and this requires an open mind as well the idea that you can change your mind on topical issues if you are presented with evidence that your hypothesis is flawed. Research beings with a hypothesis, not a statement of fact, and you pursue your research not knowing if you are right or wrong.
Emotional maturity is a very important aspect of wisdom as well, or at least if you would like your wisdom to be respected by others, you need to display emotional maturity. I would define emotional maturity as being in touch with and controlling your emotions and impulses.
Being book smart and well read does count as well. You are expected to be able to discuss current events and history with a sense of understanding and perspective with your peers and elders.
Having a sense of what is right and what is wrong - morality - is an aspect of wisdom. As a gifted person and an aspie, this has always been very important to me. A person who breaks the law is not wise because they are not thinking of the consequences of their actions on themselves or society. A person who acts without consideration to others in any other way, legal or not, is not wise. Looking for loopholes in laws is not wise or moral, and we can find many example in the new this past year of unwise persons who did this in the political and financial arenas.
There are many other aspects of wisdom, but it's always a combination of life experience and formal study.