Progress in molecular biology has revealed profound relations between linguistic and genomic sciences, mainly through advances in bioinformatics. The structural symmetries between biochemical and verbal syntaxes raise the question of their origins: did they emerge independently, or did one arise from the other? Does the genetic code contain the traces of a protolanguage, a universal grammar whose gradual evolution and successive mutations progressively led to the polymorphism of natural languages? To explore this question, we review the isomorphism of the genetic (...) code and verbal codes from lexical, syntactic, semantic and pragmatic standpoints. We discuss the limits of these symmetries and their anthropomorphic connotations. We observe the gradual evolution of species and languages according to parallel mechanisms, and the genetic roots of the physiology of language. In conclusion, we hypothesize that human observers may not be projecting linguistic frameworks onto genomic structures. Rather, it could be their linguistic faculties that reflect the grammatical structure of genetic code. (shrink)