Abstract
By a seemingly strange twist of fate, the formalist approach to language became popular after Hilbert’s project of providing a formalist foundation for mathematics foundered on G¨odel’s famous incompleteness theorems. Even in September 1930, during the congress in K¨onigsberg, where G¨odel presented his results for the first time, Carnap still defended logicism against the intuitionist and formalist views on the foundations of mathematics. Furthermore in linguistics, the formalist approach to syntactic issues had only become disseminated in the 1930s, due to the distributionists of Bloomfield’s school, and found its paramount expression in Hjelmslev’s Prolegomena to a Theory of Language : according to Hjelmslev, both the linguistic theory and the grammar of a given language are nothing more than a calculus.