Dispositions and the principle of least action revisited

The only cardinality restriction is that the size of the collection of definable concepts is no greater than the size of the language (at most countably many in the case of a countable language). This restriction follows not from the diagonalization argument but from what it is to be a definable concept. Definable Basic Law V, which forces ^ to be injective only on the definable concepts, vividly demonstrates the fact that Russell’s Paradox applies even if the collection of definable concepts is of the same size or even smaller than the collection of objects.