Introduction. The relevance of the university’s role reconsideration is a consequence of the classical university foundations “ruinization” in the contemporary functioning conditions, characterized as highly dynamic, fluid and complex. The identity of the post-non-classical university is not perceived as something integral or self-evident, it is represented the essence of multifaceted identity, lying in the opposition of the idea of university modeling to the destructive postmodern conditions in which the contemporary university transforms. The aim of the study is to conceptualize the post-non-classical university’s image in its axiological foundations Research methods. To reach the aim of the study, the authors applied a methodology comprising philosophically and culturologically determined methods of qualitative analysis to explore issues in the relevant knowledge domains and the direct praxeological aspect of visible manifestations of the modern university’s identity. In their argumentation, the authors rely on philosophical and cultural comparative analysis, use the techniques of systemic functional and axiological approaches, the method of conceptualizing the university’s image. Research results. The article considers the transition from the classical to the non-classical and post-non-classical model of the university. The reflexive (convergent) consciousness is regarded as an essential condition the identity of contemporary university constructing crisis overcoming, and the glocalization argued as the strategy of the university as a sociocultural institute. The post-non-classical university multifaceted identity integrates cultural, behavioral and representational aspects, remaining in its globalized structure the regional particularities. The graduate, possessing the possibility of self-image constructing to achieve integrity and additivity, becomes the axiological foundation of the post-non-classical identity. Conclusion. The study has shown that the contemporary university independently determines the reflexive modernization of the axiological foundations of self-identity. It does not react to external circumstances and challenges, but rather absorbs external conditions and circumstances, and actively transforms and pragmatically uses them for its own advancement. The post-non-classical identity of the university, on the one hand, is a product of postmodernity. On the other hand, its contemporary reflexive modeling overcomes the deconstructing and ruining foundations of postmodernity, and can be considered as a foresight technology
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