In 1931, Kurt Gödel found that this was not the case for the natural numbers plus both addition and multiplication; this system, known as Peano arithmetic, was in fact incompletable.
En 1931, Kurt Gödel comprobou que isto non era así para os números naturais con ambas as operacións; este sistema, coñecido como aritmética de Peano, era de feito incompletable.