Introduction. The article explores the reasons for the lack of scientific consensus on critical thinking. Despite the fact that this concept has become one of the key ones for modern culture, it has not been properly defined, and organizational decisions remain controversial. In this article, we propose to focus not on the gaps in our knowledge of critical thinking, but on finding the reasons for what exactly prevents consensus on these issues. The purpose of the article is to establish fundamental uncertainties and theoretical conflicts in the science of critical thinking that prevent the solution of terminological and organizational aspects of the problem. Materials and Methods. The study is theoretical in nature and is based on an agnological approach to the analysis of expert ignorance (R. Proctor, S. Feirstein, etc.). This approach combines traditional methods of logical and philosophical analysis, but is used when the purpose of the study is not to fill the gap in knowledge, but to find explanations why exactly we do not know what we do not know. In order to achieve this goal, the subjects of scholarly debates regarding critical thinking were identified and the prerequisites on which conflicting concepts are based were analyzed. Results. The study found that the existing organizational debates about how critical thinking should be taught in educational institutions are derived from discussions at a fundamental level. The authors conclude that modern research on critical thinking, despite its apparent thematic proximity to each other, actually reflects different, yet incompatible approaches to nature, psychological mechanisms and standards of critical thinking. Conclusions. The research led to the conclusion that reaching consensus on practical issues, such as the way to organize critical thinking training, requires prior resolution of fundamental theoretical conflicts about the nature, psychological mechanisms and socio-cultural standards of critical thinking.