Combining Philosophers

Ideas for Herodotus, Brian Ellis and David Bostock

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2. Reason / D. Definition / 8. Impredicative Definition
Impredicative definitions are wrong, because they change the set that is being defined? [Bostock]
     Full Idea: Poincaré suggested that what is wrong with an impredicative definition is that it allows the set defined to alter its composition as more sets are added to the theory.
     From: David Bostock (Philosophy of Mathematics [2009], 8.3)