Named after Philippe De Hire - French mathematician, astronomer (1640-1718).
Mons La Hire is a solitary lunar mountain in the western Mare Imbrium. The mountain base has a shape roughly like an arrow head, with the point oriented toward the west-northwest. The peak has a height of 1.5 km above the surface. (wikipedia entry)
A mons is a mountain. On the Moon they are named after terrestrial mountain ranges, nearby craters, and deceased scientists who have made outstanding or fundamental contributions to their fields.