Reasoning of generative artificial intelligence in solving mathematical logical problems

One of the tasks of mathematics education is to develop students' logical thinking. Logical problems that require a certain level of sharpness, ingenuity, and rational reasoning present a good challenge that can further motivate students to engage with mathematics. The progress of science and technology has led to the emergence of numerous tools that can be used in mathematics education. With the advent of artificial intelligence, these tools got a more active role as communication with users reached a new user-friendly dimension resembling human-to-human interaction. The unpredictability of the flow and the speed of development of artificial intelligence raises the question of whether it will ever reach or surpass the level of human sharpness and ingenuity. This paper illustrates inaccurate and partially accurate reasoning of artificial intelligence in solving logical problems.