This article discusses the concept of recursion in mathematics, AI, cognitive studies and its relationship to consciousness. The development of the notion is followed in parallel with the history of computability theory when concepts of Turing oracle and probabilistic machines were introduced. Also, such recursive computational techniques as Bayesian Recursive Estimation and Bayesian hierarchical inference are reviewed. It is shown that, with each novation in recursive methods, the limits of computability have expanded. The author argues that recursion is a vital aspect of human cognition, particularly in the development and interpretation of complex language. The paper also addresses the challenges of studying recursion and consciousness, such as the subjective nature of consciousness and the complexity of neural networks associated with conscious thought. Additionally, the paper examines the limitations of current theories of cognitive processing and language acquisition in understanding recursion and consciousness. The article concludes that investigating the relationship between recursion and consciousness is critical for developing a deeper understanding of language and cognitive processing. The author anticipates that a future recursionbased theory will help solve principal metaphysical conundrums of the past and the present.

We present an analytical study that puts forward a hypothesis about the role of analogy in thinking. The article presents a critique of the structural mapping hypothesis in analogy as an explanation of the analogical argument and will offer an alternative explanation — the functional hypothesis of the analogical argument. It will also be shown how such functions of thinking as recognition and memory, metaphor and syllogism, generalization and ontology, deduction and induction can be realized with the help of the analogy method developed by the author. The article puts forward a hypothesis that these different functions are nothing more than different manifestations of one mechanism for the dissemination of thinking patterns through analogy.
In the previous article [1] we described the results of experiments on obtaining analogs of words based on the statistics of predicates extracted from texts by a simple parser. In this article, continuing the topic of analogy, we will analyze two aspects:
- how similar expressions (analogous argument) are found when solving problems and learning;
- what is the role of analogy in thinking, namely, what thinking processes are realized with the help of analogy.
The article critically examines the most well-known approaches to explaining and attempting to implement analogy. The authors propose another hypothesis, called functional analogy, which is distinguished by the simplicity of explaining the analogical argument, greater correspondence to examples of analogy, in the authors’ opinion, and the possibility of programmatic implementation.

The article examines the impact of digitalization on political participation through the lens of new digital political institutions. Active digitalization enhances the accessibility and convenience of political engagement; however, this accessibility creates a «pressure valve» effect, preventing the accumulation of significant dissatisfaction that could lead to more substantial political demands. The issue of the publicity associated with these digital political institutions is also addressed. Publicity increases the likelihood of addressing issues by attracting the attention of responsible parties, yet it simultaneously tends to preserve ineffective governmental institutions.

Natural language processing (NLP) has undergone significant changes in its methods, reflecting advances in computing technology and cognitive research. This article reviews the key stages of the evolution of natural language processing methods. The article touches on the topic of the first NLP systems developed, provides justification for the reasons for the complexity of some processed texts and the possible depth of analysis. In addition, it describes not only NLP methods before and after the GPT revolution, but also current trends and prospects in the field of natural language processing. The article allows us to trace how the idea of natural language text has changed during the development of computer analysis methods, as well as to understand what text is in the mirror of natural language processing, what is really the subject of natural language processing research and what cannot be seen through the eyes of a simple researcher who does not use NLP methods.

This article is devoted to the analysis of the characteristic features of the process of displaying virtual network platforms and cybernetic technologies in the early 1970s — early 2020s in the fantastic universe (literary and cinematic) created by S. King, one of the leading American science fiction writers of our time. In this study, the authors provide a justification for the relevance and scientific novelty of the problem under study. This paper analyzes the specific features of the impact of electronic communication communities and computer technologies on modern society. This article provides an argument for the need to comprehend the coverage of this social problem in fantastic art — specifically in literature and cinematography — as one of the additional aspects of the progress of the predictive function of science. This study provides a reasoned explanation of the definition of the fantastic literary and cinematic universe of S. King as an object of research, taking into account its priority position in the fantasy genre as a whole. This problem was chosen by the authors for analysis in order to reasonably refute stereotypes, according to which the works of S. King and the film adaptations created on their basis are a complex of mass culture materials of an entertainment nature that do not have any semantic significance. At the same time, the authors explore the cardinal differences in the coverage of the studied problem in the original literary works of S. King and their film adaptations. This approach, among other things, allowed the authors to identify the reasons for the negative attitude of the writer to the embodiment of his books on the cinema screen. In this work, the specifics of the process of transformation of the display of social networks and high technologies in the fantastic universe of S. King during the 1970s and early 2020s are comprehended in the context of the author’s reaction to objective changes in scientific and technological progress and ideas about it in public opinion, as well as the growth of their importance in socio-economic, spiritual and the political spheres of life of the human community. In this study, using the example of the fantastic universe of S. King, the characteristic features of the evolution of the position of experts in the field of computer technology over the past five decades in the context of their perception in literature and cinema are also analyzed. The work also examines the moral criteria for the use of social networks and cybernetic technologies in public life and their impact on the development of modern family relations in the perception of S. King, one of the subjects of the formation of public relations in Western society.

Large language models in the form of chatbots very realistically imitate a dialogue as an omniscient interlocutor and therefore have become widespread. But even Google in its Gemini chatbot does not recommend trusting what the chatbot will write and asks to check its answers. In this review, various types of LLM errors such as the curse of inversion, number processing, etc. will be analyzed to identify their causes. Such an analysis led to the conclusion about the common causes of all errors, which is that transformers do not have deep analogy, hierarchy of schemes and selectivity of content taken into account in the inference. But the most important conclusion is that transformers, like other neural networks, are built on the concept of processing the input signal, which creates a strong dependence on superficial noise and irrelevant information that the transformer’s attention layer cannot compensate for. The concept of neural networks was laid down in the 1950s by the idea of F. Rosenblatt’s perceptron and did not take into account the achievements of cognitive psychology that appeared later. According to the constructivist paradigm, the input word (or perception) is only a way to check the correctness of the constructed predictive model for possible situations. This is the cause of the biggest problem of transformers, called hallucinations. And its elimination is possible only by changing the architecture of the neural network, but not by increasing the amount of data in training.