Resumen de Gödel’s Syntactical Conventions

Pierdaniele Giaretta, Silvia Gaio

• In his criticism of the syntactical “interpretation” of mathematics, which should have appeared in a volume on Rudolf Carnap, Kurt Gödel employs a rather special notion of convention and claims that syntactical conventions should be admissible; i.e. that empirical facts should not follow from them. Both the notions of convention and of admissibility are tentatively clarified on the basis of what Gödel says. As concerns admissibility, the underlying idea is that conventions are to be void of empirical content. Two alternative readings of voidness of empirical content are isolated. However, for different reasons, both appear to be unsatisfactory.