Ключевое слово: «logic»

The correlation of inductive and deductive logics in TRIZ methods and “tools”, application and comparison of different ways of thinking in TRIZ and artificial neural networks are considered. The tendency to reduce inductive forms of thinking to deductive ones in TRIZ. The identification of the heuristic potential, through various stages of human thinking, for the search, design and study of the properties of a new system is considered. The possibility of formalizing an abstract model of the TRIZ methodology in terms of first-order logic is considered.

The article reveals the main features and similarities of languages such as mathematics and English. Basic information about the connection between these disciplines is given. Perspective for the development and promotion of mathematical English and English mathematics in schools and universities. The role of mathematics in the development of a research personality and the importance of introducing research elements in school are revealed. It is noted that mathematics uses abstract models, which are so necessary in the knowledge of language. The main similarities of thinking are revealed. The main branches of the implementation of bilingual education are analyzed. The advantages of such training are considered. Perspectives on the development and importance of learning mathematics using the elements and structures of the English lan-guage. It is noted that both mathematics and English are the most common languages in the world. With the help of the language of mathematics, scientists in the field of natural sci-ence disciplines can not only understand each other, but also work on a common cause.