Genesis of the Rationality from 'Chaos'

This paper proves that the Boolean connectives and the recursive functions -i.e. the rational order- are generable by hyperincursive algorythms -i.e. 'chaotic' phenomena- as the above Hesiodus' verse affirms. But, for the archaic ancient Greeks, chaos -the space that is enclosed between sky and earth [χάος = χά(ϝ)ος =cavus = cave?]- does not mean disorder. Were they right?