Abstract: At the new turn of historical development, it is necessary to turn to the understanding of dialectics and the newest forms of metaphysics, recognizing the objective dialectic of the material world, which is reflected in the subjective dialectic of concepts. For Aristotle's formal logic, there are true judgments and false judgments, and if we take the law of the excluded third, then even stricter: either yes or no. However, the metaphysical way of understanding reaches a limit beyond which it becomes limited and entangled in contradictions, since it deals with objects as unchangeable. Sophistry was revived recently in the third millennium, because capitalism needs it in the context of the digital transformation of the state and the current controversy over the new world War reveals a lot of techniques of sophistic thinking. Formal logic works fine in the conditions of everyday practical relations of people however, knowledge of dialectical logic is required to solve the global problems of our time.