The article gives a new mathematical-logical method in linguistics. B. Sagyndykovich–the founder of a new mathematical-logical method in the study of etymology. Using a mathematical and logical method, you can establish a clear and precise etymology of the word. However, he noted that on the basis of the "theory of archetypes" we can prove not only the etymology of the word, but also the theory of "the origin of all languages from one language", using the basic vocabulary of some languages.
The paper gives the etymology of some native words using this method. From the article, you can see the vulnerability of the comparative-historical method in determining the origin of the word. Moreover, when revealing the etymology of words, you can find almost all the laws and phenomena of the language. In addition, in the disclosure and research of the etymology of the word, etymologists need to know the phonetic, semantic, historical, morphological and geneological principles in a comprehensive manner.