Language is a biological trait that radically changed the performance of on
e species and the appearance of the planet. Understanding how human languag
e came about is one of the most interesting tasks for evolutionary biology.
Here we discuss how natural selection can guide the emergence of some basi
c features of human language, including arbitrary signs, words. syntactic c
ommunication and grammar. We show how natural selection can lead to the dua
lity of patterning of human language: sequences of phonemes form words; seq
uences of words form sentences. Finally, we present a framework for the pop
ulation dynamics of grammar acquisition, which allows us to study the cultu
ral evolution of grammar and the biological evolution of universal grammar.