Named after Aristoteles - Greek astronomer, philosopher (383-322 B.C.).
Aristoteles is a lunar impact crater that lies near the southern edge of the Mare Frigoris and to the east of the Montes Alpes mountain range. To the south lies the slightly smaller crater Eudoxus and these two form a distinctive pair for a telescope observer. An arc of mountains between these craters bends to the west before joining the walls. The smaller crater Mitchell is directly attached to the eastern rim. (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.