Leibniz’s philosophical and philological interests overlapped at many points, and some of his fundamental philosophical notions shaped his views on language, particularly his thinking about language history, in decisive ways. Although he is better known for his work on universal language, his writings on natural language and language history are worth consideration both for their subtlety and for the insight they give into the complex history of thought on this topic. The principles of sufficient reason, praedicatum inest subjecto, and his (...) doctrine of marks and traces are echoed in his work on natural languages and in his account of their histories. He attempted to reconcile philosophical investigations of the natural languages with the Biblical accounts of the confusion of languages at Babel, and in his approach to etymology he participated in a long tradition of thinking about language and its essence as hidden or secret, the truth of which remains scattered in signs and which etymology alone may occasionally reveal. (shrink)

In his 1763 Prize Essay, Kant is thought to endorse a version of formalism on which mathematical concepts need not apply to extramental objects. Against this reading, I argue that the Prize Essay has sufficient resources to explain how the objective reference of mathematical concepts is secured. This account of mathematical concepts’ objective reference employs material from Wolffian philosophy. On my reading, Kant's 1763 view still falls short of his Critical view in that it does not explain the universal, unconditional (...) applicability of mathematical concepts. (shrink)