  If ‘more truths’ are added to the truths in the possession of the mathematician, these can only be truths about the nature of Forms. These higher logoi will then be general metaphysical principles about the role of the Good, the simplicity or complexity of Forms, the specification of the participation relation and so on (not a trivial ‘and so on’. ) Plato does then place fantastically high demands on knowledge. The desire to ensure irrefutability, perhaps the legacy of reflection on the Socratic elenchus, drives him to the conclusion that one really has recollected the Form only when one has become a metaphysician. She need (only!) know the general metaphysical theory.