The modern world is confronted with a series of global problems, exacerbated by technological advancements. In this context, concerns arise in the public consciousness regarding the potential of artificial intelligence (AI) to surpass humans in intellectual and creative activities. The topic of AI creativity becomes pertinent and sparks debates within the scientific community regarding its creative potential. In response to these challenges, members of the Club of Rome in 2018 propose the concept of a new Enlightenment and the principle of (...) balance as a response to the demands of technological development. These ideas underscore the need for a balanced approach to technical progress, taking into account global values and ethical principles. I explore the definitions of creativity and AI, formulate criteria for assessing creativity, and analyse recent achievements in modelling creative processes in AI. I also focus on the utilisation of various algorithms for implementing diverse forms of creative activities, including text, image and music generation. Additionally, I present diverse opinions of researchers regarding creativity in AI. To systematise these perspectives, I propose a classification which allows their ranking. The conclusion emphasises that currently the issue of evaluating the creative potential of AI lacks a definitive solution, underscoring the relevance of further research. The future outlook may alter this situation, prompting the necessity to focus on predicting potential consequences of technological developments and developing mechanisms for controlling AI activities; humans, after all, bear responsibility for AI actions. Such an approach aligns with the concept of a new Enlightenment which seeks a balance between technological advancements and the preservation of global harmony. (shrink)