Wisdom teeth are so called because they are the last teeth to come in, at about the time of young adulthood -- the age when a person gains maturity and thus wisdom. The majority of us have most of our permanent (adult) teeth by age 13, followed by our wisdom teeth (third molars), which usually push their way through the gums or become impacted between ages 17-21. After age 21, wisdom tooth removal becomes more complicated.
Not everyone's teeth develop on the same schedule. See your dentist regularly so he or she can monitor the progress of your wisdom teeth.