Named after Of Croton Philolaus - Greek mathematician, astronomer, philosopher (unkn-fl. 400 B.C.).
Philolaus is a lunar impact crater that is located in the northern part 's near side. It lies within one crater diameter to the east-southeast of the flooded crater Anaximenes, and to the west of the smaller Anaxagoras. It overlies the older and heavily worn Philolaus C to the south. This crater retains a well-defined form that has not changed significantly since it was originally created. (wikipedia entry)
A crater is a circular depression likely created by an impact event. On the Moon they are named after deceased scientists, polar explorers, astronauts or cosmonauts.