People feel they understand complex phenomena with far greater precision, coherence, and depth than they really do; they are subject to an illusion—an illusion of explanatory depth. The illusion is far stronger for explanatory knowledge than many other kinds of knowledge, such as that for facts, procedures or narratives. The illusion for explanatory knowledge is most robust where the environment supports real‐time explanations with visible mechanisms. We demonstrate the illusion of depth with explanatory knowledge in Studies 1–6. Then we show (...) differences in overconfidence about knowledge across different knowledge domains in Studies 7–10. Finally, we explore the mechanisms behind the initial confidence and behind overconfidence in Studies 11 and 12, and discuss the implications of our findings for the roles of intuitive theories in concepts and cognition. (shrink)

We use tools of mathematical logic to analyse the notion of a path on a complex algebraic variety, and are led to formulate a “rigidity” property of fundamental groups specific to algebraic varieties, as well as to define a bona fide topology closely related to etale topology. These appear as criteria for ℵ1-categoricity, or rather stability and homogeneity, of the formal countable language we propose to describe homotopy classes of paths on a variety, or equivalently, its universal covering space.Technically, for (...) a variety A defined over a finite field extension of the field Q of rational numbers, we introduce a countable language L describing the universal covering space of A, or, equivalently, homotopy classes of paths in A. Under some assumptions on A source we show that the universal covering space of A is an analytic Zariski structure [26]), and present an Lω1ω)-sentence axiomatising the class containing the structure and that is stable and homogeneous over elementary submodels. The “rigidity” condition on fundamental groups says that projection of the fundamental group of a variety is the fundamental group of the projection, up to finite index and under some irreducibility assumptions, and is used to prove that the projection of an irreducible closed set is closed in the analytic Zariski structure.In particular, we define an analytic Zariski structure on the universal covering space of an Abelian variety defined over a finite extension of the field Q of rational numbers. (shrink)

In ancient tradition, Pythagoras emerges as a wise teacher, an outstanding mathematician, an influential politician, and as a religious and ethical reformer. This volume offers a comprehensive study of Pythagoras, Pythagoreanism, and the early Pythagoreans through an analysis of the many representations of the individual and his followers.

This report presents the features of the organisation and the main ideas of the international scientific conference “‘No Right of Sedition’. Kant and the Problem of Revolution in the 18th—21st Century Philosophy.” The conference was held at the Immanuel Kant Baltic Federal University (IKBFU) in Kaliningrad on November 9—10, 2017 and was dedicated to the 100th anniversary of the Russian Revolution. The event was organised by the Academia Kantiana — a research unit on comparative studies on Russian and Western philosophy (...) at the IKBFU’s Institute for the Humanities. The reports presented at the conference focused on the analysis of the phenomenon of revolution from Kant to the present day as well as the conceptions of revolution that appeared around the time of the Russian Revolution in 1917. The report summarises all the presentations and discussions that took place at the confe­rence in accordance with the thematic clusters. The conference confirmed that Kant’s ideas on the state and the revolution are still relevant today. (shrink)

One of the main accusations directed toward globalization is that it deepens the gap between the developed and developing countries dooming them to eternal backwardness. The article demonstrates that the actual situation is very different. It is shown that this is due to globalization that the developing countries are generally growing much faster than the developed states. The World System core starts weakening while its periphery gains strength. At the same time there is a continuing divergence between the main bulk (...) of developing countries and the group of the poorest developing states. The article also explains why globalization was bound to lead to an explosive rise of many developing countries and relative weakening of the developed economies. In the forthcoming decades this trend is likely to continue. It is also demonstrated that this convergence constitutes a necessary condition for the ongoing and forthcoming change of political and power balance in the World System. We also show how and why it manifests itself in the US current and possible future policy. (shrink)

The question of the secularity of society still remains open, since scientists have proposed only cautious speculative answers, while every scientist understands that in the social sciences it is a sad experience of predictions, that history is random and therefore unpredictable and the future always remains fundamentally open. The process of transformation of postmodern society, the development of which is actively influenced by the current pandemy of COVID-19, entailed the revival of religious values ​​and the formation of a qualitatively new (...) religious consciousness. In connection with the rise in the social status of religious consciousness and the widespread dissemination of religious ideas, primarily at the everyday level, the analysis of individual religious consciousness as one of the ways to comprehend the world is of particular importance. The social nature of religious consciousness is manifested not only in the fact that religious values ​​are perceived as a kind of khanism of social regulation, but also in the fact that they serve as epistemological guidelines and often compete with scientific values. This determines the growing philosophical interest in the analysis of the epistemological functions of religion and secular reality, as well as the cognitive capabilities of religious consciousness, which is impossible without a consistent study of the methodological basis of religious knowledge. (shrink)

Interview of Vlada Davidenko, Ryenat Shvets, Sofia Bryl with Leonid Finberg.

A more and more important role is played by new directions in historical research that study long-term dynamic processes and quantitative changes. This kind of history can hardly develop without the application of mathematical methods. The history is studied more and more as a system of various processes, within which one can detect waves and cycles of different lengths – from a few years to several centuries, or even millennia. This issue is the third collective monograph in the series of (...) History & Mathematics almanacs and it is subtitled Processes and Models of Global Dynamics. The contributions to the almanac present a qualitative and quantitative analysis of global historical, political, economic and demographic processes, as well as their mathematical models. This issue of the almanac consists of two main sections: (I) Analyses of the World Systems and Global Processes, and (II) Models of Economic and Demographic Processes. We hope that this issue of the almanac will be interesting and useful both for historians and mathematicians, as well as for all those dealing with various social and natural sciences. (shrink)

This article is devoted to the significant at all times and sounding anew in every epoch problem of the role of an individual (also a Hero, Great Man) in history, including such an aspect as the role of an individual in the process of state formation and progress. It is argued that in the age of globalization, when the humankind has found itself at the new developmental turning point, in the epoch when the influence of various individuals could affect dramatically (...) the further development of the whole world, there is an urgent necessity to return to the analysis of this issue. In the first part of this article the history of views on this problem from the antiquity to contemporary counterfactual history is considered. In the second part the author aims at presenting the complex of factors affecting the role of individuals as a conceptual system. He suggests that depending on various conditions and circumstances and with the account of specific features of historical place and time and personal characteristics, the historical role of an individual may fluctuate from the absolutely invisible up to the greatest one. A conclusion is made that the weaker and less stable is a society, the more destroyed are the old structures, the greater may be the personality's impact. In other words, the role of an individual is inversely correlated with society's stability and strength. The paper presents the model which includes four society’s state phases: 1) stable society of the monarchic type; 2) social pre-revolutionary crisis; 3) revolution; 4) creation of a new order. It is shown that a personality's greatest influence is observed at the third and fourth stages while at the first stage the influence is usually considerably weaker. (shrink)

Perruchet & Vinter's article, for all its breadth and scope, has several deep problems: specifically, an eccentric notion of rule, a narrow notion of what it means for a mental instantiation to be abstract, and a failure to take into account fundamental principles of evolutionary biology. While not the only problems, these three are sufficient to seriously weaken their arguments.

Among the most important problems related to Russia's development, which are considered in depth in various kinds of forum and the media, both here and in the west, there is, however, an almost total absence of such a crucial strategic topic as working out an urban policy. In the meantime the crises that Russia is continually facing as it undergoes reforms are caused by the disparity between the tasks that have to be completed and the stage of civilization we are (...) at. In order to fast forward to another level we have only the strategic role of the cities, in particular the largest of them, to guide us. Without real cities with a developed urban culture no effective solution can be found to the problems we are up against, whether they are economic, cultural, social or human rights issues. (shrink)

In this lecture, given on 17 June 2004, the author describes the conditions for proper disclosure of the wisdom of Kabbalah. He explains that today everyone is entitled and indeed is required to know about its true meaning. Expounding on the three past bans - "no need to disclose," "impossible to disclose," and "the Creator's personal secret" - Makaron demonstrates why today they have been (at least partially) lifted.

The article analyzes the main preconditions for the formation of pro-Ukrainian views among students of the Kyiv Theological Academy and determines their percentages among the graduates from the 1890s to 1907. When in the late 1850s and the early 1860s the Ukrainian intelligentsia carried out semi-legal cultural and educational work within Ukrainophile communities, few students of the Academy took part in their activities, with only 4 participants being active members in the Kyiv Hromada. Later, when students from the 1890s to (...) 1907 at the Kyiv Theological Academy joined the national movement, pro-Ukrainian activities became more popular with the clergy. According to statistical and biographical data gathered by the author, the percentage of nationally-minded graduates among Ukrainian-born students at the Academy varied from 5 to 38% depending on the year of graduation. They engaged in educational work in schools, popularized Ukrainian-language literature, collected ethnographic materials, studied the history of their native land, and translated religious literature. Moreover, 11 students left their mark in the history of the hromada movement. Such well-known public figures as Oleksandr Lototskyi, Volodymyr Durdukivskyi, Serhii Lypkivskyi, and Volodymyr Chekhivskyi, who all played a significant role in the events of the national revolution and the struggle for the independence of Ukraine, deserve special mention. Active participation of Academy graduates in Ukrainian public life challenges the general view of the Kyiv Theological Academy as a highly reactionary educational institution that trained cadres who served only the interests of the Russian Empire. (shrink)

This paper describes some results of a multi‐decade study of the drums of Altai shamans, begun in 1922 with the active cooperation of shamans from several ethnic groups and in several regions of the Altai mountains. These studies were a part of broad scale research of Altai culture. Knowledge of the customs and language of these people, along with my sincere interest, was the principal reason the Altai shamans developed significant trust in me, and this feeling of trust by the (...) Altai people led to my adoption as a member of the Mundus clan. The adoption was confirmed with a shaman's prayer ceremony, followed by a horse sacrifice.The 1920s were a period of renaissance of shamanism in the Altai, which undoubtedly favored my research. I was able to study and photograph drums, to ask about their construction and ornamentation, and to discuss in detail their designs. This renaissance of shamanism developed as a result of Bolshevik pressure on the Russian Orthodox church after 1917, the Church having been the primary opponent of shamanism in the Altai region. Spiritual missions and churches were closed by the government, but shamanistic cults were not interfered with. The Communists were fighting all religions, but did not regard shamanism as a religion, considering it instead as a survival of the local clan system. My work in the Altai at this time was particularly productive thanks to exactly this fortunate coincidence of circumstance. (shrink)

The article is devoted to the experience of being; it suggests that the experience of being is the basis of human subjectivity and is responsible for ensuring the connection between man and the universe. Intuitions born in the process of being experience are used by a person to solve existential problems. Being experience in its immediacy was revealed to man in the epoch of transition from primitive communal relations to class society. The discursive comprehension of the being experience undertaken by (...) ancient philosophy led to the development of the concept of being. Similarities in the descriptions of basis experience found in the texts of philosophers and religious mystics across diverse traditions, suggests the presence of a fundamental, invariant experience of being at the core of human spirituality. While interpreted differently in philosophical and religious contexts, this experience serves as the foundation for all conceptions of being, At the intersection of the intuitive experience of being and its discursive comprehension, the cultural category of being is formed. The second part of the article is devoted to the analysis of the main mechanisms of being experience, which are responsible for the unfolding of the space of human activity and the experience of unity between man and the world. Particular attention is paid to the minimal phenomenal experience, and the possibility of identity between the minimal phenomenal experience and the being experience is considered. This idea is supported by Thomas Metzinger's research on minimal phenomenal experience (MPE). Ultimately, it is proved that the experience of being is the experience of direct unity between the individual and being. This feature allows us to realise our identity with the world and participate in the self-actualisation of being. (shrink)

This chapter reviews references to Pythagoras by the authors of the pre-Platonic period. It shows that in the course of the fourth century, studies in mathematics, particularly geometry and arithmetic, became a constant element of the tradition of Pythagoras; astronomy and harmonics are less frequently mentioned. Mathematics did not displace metempsychosis and wonders, nor did the tradition of Pythagoras the politician which emerged concurrently with it, yet they did edge them aside, completing the ambivalent, contradictory image of Pythagoras, which was (...) retained by his Neoplatonic biographers and passed from them into modern scholarship. It concludes that Pythagoras the mathematician is as little a product of the Academy as Pythagoras the philosopher. (shrink)

Have Morsella et al. examined the fundamentals of consciousness? An experiment by Bar et al. (2006) has demonstrated the fundamental aspects of conscious and unconscious mechanisms of perception. The mental representations are not crisp and conscious like the perceived objects are, but vague and unconscious. This experiment points to the fundamental function of the neural mechanisms of consciousness in perception. Consciousness is also fundamental for the highest emotions.

The present monograph considers some macrohistorical trends along with the aspects of globalization. Macrohistory is history on the large scale that tells the story of the entire world or of some major dimensions of historical process. For the present study three aspects of macrohistory have been chosen. These are technological and political aspects, as well as the one of historical personality. Taken together they give a definite picture of unfolding historical process which is described from the beginning of human society (...) formation to the present day and near future. The combination in the monograph title of the two terms – macrohistory and globalization – is in no way artificial. On the contrary, the connection of these terms is organic at least as the real goal of macrohistory is to find mean-ing in the past so as to create new possibilities of meaning for the future. The analysis of globalization also includes three aspects: political, economic and futurological as today the world may well be regarded as being at the start of a new global reconfiguration. The author presents his ideas of the world prospective political and in some respects social-economic development basing on the analysis of macrohistory and contemporary globalization processes. The monograph also considers some global scenarios of the World System's near future. (shrink)

This article presents possible answers, and their respective probabilities, to the question, ‘What are the consequences of the present global crisis in the proximate future of the World System?’ It also attempts to describe the basic characteristics of the forthcoming ‘Epoch of New Coalitions’ and to forecast certain future conditions. Among the problems analyzed in this paper are the following: What does the weakening of the economic role of the USA as the World System centre mean? Will there be a (...) leader in the future World System? Will the deficit of global governance and world fragmentation continue to worsen? How can national sovereignty be transformed? (shrink)

This chapter begins with a description of the history of Pythagorean societies after the death of Pythagoras. It then considers the criteria used by Aristoxenus in compiling his list of Pythagoreans. Compared with those applied in modern works, it is argued that, beyond a critical approach to the sources, we enjoy no special advantages over the first historian of Pythagoreanism. This is followed by a discussion of the prosopography and chronology of the Pythagoreans.

John Greco has recently raised two worries for epistemic contextualism, viz it deprives epistemology of its subject matter and renders objective knowledge impossible. He argues that these problems are not restricted to contextualism, but apply to rival theories, like subject sensitive invariantism, and that they are overstated. I develop Greco's worries, which show that contextualism suggests either that there is no such thing as knowledge, or a weird view of knowledge: as disparately varied and undisciplined, individual-dependent and arbitrary. I then (...) argue that these issues are not overstated and that they can be avoided if one opts for moderate insensitive invariantism. (shrink)

Global studies can be made not only with respect to the humans who inhabit the Earth, they can well be done with respect to biological and abiotic systems of our planet. Such an approach opens wide horizons for the modern university education as it helps to form a global view of various processes. However, we can also ask ourselves whether the limits of our studies can be moved further. Would not it be useful for the students to understand the evolution (...) of our planet within the context of the evolution of our Universe? The need to see this process of development holistically, in its origins and growing complexity, is fundamental to what drives not only science but the human imagination. This shared vision of the grand narrative is one of the most effective ways to conceptualize and integrate our growing knowledge of the Universe, society, and human thought. Note that the respective discipline already exists and it has been developing quite successfully for more than three decades; it is denotes as Big History. (shrink)