Introduction. This article puts forward a hypothesis that, in addition to the scientific revolutions described by T. Kuhn, there are transdisciplinary scientific revolutions currently taking place, determined by a change in cognitive strategies and the transformation of communicative practices. They occur unnoticed, often simultaneously in different fields of science. Theoretical analysis. The essence of “silent” revolutions is that a new style of mental activity and a new configuration of discursive practices are actively spreading in the field of science and culture due to the development of special thinking strategies that allow the synthesis of previously disparate studies and forms of intellectual activity into a certain integral unity. The image of “postnormality” as an empirical phenomenon requires recognition that the mixing of facts and values occurs in the field of scientific research regardless of the awareness of the participants in this process. The forms of a cognitive activity that are inextricably embedded in the everyday life of a digital society oriented toward transdisciplinarity are changing. Conclusion. Studies in science and technologies show that science is cultural and embedded in social practices. The transition to “postnormality” leads to the creation of fundamentally different heuristic strategies and mental constructs, and, accordingly, to different types of scientific statements.