Why Trivialist Platonism Cannot be Both Trivialist and Platonist

ABSTRACT Platonism is the view according to which entities such as numbers and properties, characterized as abstract objects, exist. Agustín Rayo argues that the truth conditions for statements about mathematical objects and properties make no demands on the world and are, in this way, trivial. The result is trivialist platonism. In this paper, we question the stability of the two central features of the view: it cannot be both trivialist and platonist.