Technological singularity is understood as the acquisition by the techno-sphere of the quality of self–organization, self-government - a kind of transformation of the techno-sphere into the noo-sphere. The essence of the concept of technological singularity lies in the fact that such processes and events as digitalization, the creation of general artificial intelligence, the development of robotics, the success of genetic engineering, the improvement of convergent NBICS technologies, the integration of the human body and intelligence with technology, etc. will fatally inevitably entail a phase transition to a qualitatively new level of reality. The technological singularity is the attractor of this evolution of the digital world. The uniqueness of this attractor lies in the fact that it is relevant, empirically absent, but at the same time (according to the authors and proponents of the concept of technological singularity) the need for its appearance determines the trajectories of embedding digital technologies in natural and social processes, plays the role of a regulatory idea for most conceptual models of the development of a digital society. The article provides a philosophical, theoretical, and methodological analysis of the fundamental aspects of the concept of technological singularity, and examines the consequences of wrapping its conclusions and provisions in the field of socio-political process.