What was the name of the ancient Greek school system

The earliest school in ancient Greece was the Milesian School founded by Thales, information can be found on the Wikipedia web site, the other great school was founded by Plato. The Platonic Academy. Most children did not attend school, and those that did attended from the age of 7 till about 13 years of age. They learnt about politics and the rules of the assembly, they also learned weaponry ,warrior skills and wrestling.

so the answer is yes =) =p