ABSTRACT
The pagination of the German in the Oxford editions is the same as in the original. With the writings on the philosophy of mathematics of Frege's predecessors even with such great philosophers as Kant without concluding that Frege's work represents an enormous advance in clarity and rigour. Dummett suggests that taking an equivalence relation of entities of one kind as a criterion of identity for entities of a new kind is the most general way of introducing reference to abstract entities, and this abstract entities can be construed as classes. The definition of Peano's primitives and the proof of Peano's axioms can be carried out in one way or another not only in Frege's own formal system but also in Russell's theory of types and in the other systems of set theory constructed in order to remedy the situation produced by the paradoxes, which of course showed Frege's system inconsistent.
