Abstract

1. Full-Blooded Platonism Let a platonic entity be an entity entirely free of causal powers. Let platonism be the view that at least some platonic entities exist. Restricted to mathematical entities, platonism is the view that at least some mathematical entities are platonic entites. Benacerraf's [1973] epistemic challenge to platonism is the challenge of explaining how we could gain knowledge of platonic entities. hi his [1998] Mark Balaguer argues that full blooded platonism is the only theory that can solve Benacerraf's epistemic challenge to platonism. The idea of full blooded platonism is this: Any mathematical entity that can exist does exist. More accurately: (FBP) Every consistent mathematical theory truly describes some part of the mathematical realm.

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