Averroes y las cosas justas por naturaleza

En su comentario a la Ética a Nicómaco, Averroes se ocupó del pasaje donde Aristóteles distingue entre las cosas que son justas por naturaleza y aquéllas que lo son en virtud de la ley (V, 7 1134b18-1135a5). Su comentario es particularmente breve, pero plantea algunas dificultades importantes, como su alusión a un derecho naturale legale, que, según Leo Strauss, vendría a ser simplemente un derecho positivo de aceptación general. En este artículo se busca caracterizar lo justo natural y lo justo positivo en el comentario de Averroes y mostrar el alcance de la variación de los criterios propios de la justicia positiva.

Extending Zipf’s law to n-grams for large corpora

Experiments show that for a large corpus, Zipf’s law does not hold for all rank of words: the frequencies fall below those predicted by Zipf’s law for ranks greater than about 5,000 word types in the English language and about 30,000 word types in the inflected languages Irish and Latin. It also does not hold for syllables or words in the syllable-based languages, Chinese or Vietnamese. However, when single words are combined together with word n-grams in one list and put in rank order, the frequency of tokens in the combined list extends Zipf’s law with a slope close to -1 on a log-log plot in all five languages. Further experiments have demonstrated the validity of this extension of Zipf’s law to n-grams of letters, phonemes or binary bits in English. It is shown theoretically that probability theory
alone can predict this behavior in randomly created n-grams of binary bits.