This article explores the multifaceted transformation of personal culture within the evolving framework of the information society. It analyzes how globalization, digital technologies, and mediated communication reshape individual identity, interpersonal relationships, and local cultural traditions. While digital connectivity facilitates cross-cultural exchange and global awareness, it also poses risks such as cultural homogenization, identity fragmentation, and ethical dilemmas, including privacy erosion and cultural appropriation. Drawing upon contemporary sociological and philosophical perspectives, the study emphasizes the paradoxical nature of cultural change in digital environments—offering unprecedented opportunities for self-expression and diversity, yet simultaneously undermining authentic cultural continuity. The paper calls for a critical reassessment of ethical engagement, digital literacy, and cultural preservation strategies in response to these shifting paradigms.

This article explores the phenomenon of tolerance deformation in the context of postmodern society. The paper examines key factors that contribute to the distortion of the concept of tolerance, including value relativism, information overload, globalization, and excessive political correctness. Various manifestations of deformation of tolerance are analyzed, such as pseudo-tolerance, selective and aggressive tolerance. The article draws on a wide range of theoretical works and empirical studies demonstrating the complexity and multifaceted nature of the problem. Particular attention is paid to the consequences of tolerance deformation for society, including social fragmentation, erosion of moral guidelines, and increased tension. In conclusion, possible solutions to the problem are proposed based on education, development of critical thinking, and creation of platforms for open dialogue. The article emphasizes the need to rethink the concept of tolerance in the modern world in order to achieve genuine mutual understanding and respect for differences.

This article highlights the issues related to the relations between religion and language. This connection explore the intricate relationship between religion and language, examining how these two fundamental aspects of human civilization influence and shape each other. Language serves as a vehicle for religious expression, allowing individuals and communities to articulate their beliefs, rituals, and spiritual experiences. It also plays a significant role in shaping religious identity by developing distinct terminologies, idioms, and expressions unique to each faith. Moreover, language influences the interpretation and understanding of religious texts. In multicultural and multilingual societies, language becomes crucial for interfaith dialogue, fostering tolerance and cooperation among diverse religious communities.

This article shows the method of solving mathematical problems: simplifying expressions, using derivation in proof of identity and inequalities. This method is much easier than classical methods, and it is considered with the help of examples.