We report on an “anti-Gleason” phenomenon in classical mechanics: in contrast with the quantum case, the algebra of classical observables can carry a non-linear quasi-state, a monotone functional which is linear on all subspaces generated by Poisson-commuting functions. We present an example of such a quasi-state in the case when the phase space is the 2-sphere. This example lies in the intersection of two seemingly remote mathematical theories—symplectic topology and the theory of topological quasi-states. We use this quasi-state to estimate (...) the error of the simultaneous measurement of non-commuting Hamiltonians. (shrink)

There is no doubt that periodization is a rather effective method of data ordering and analysis, but it deals with exceptionally complex types of processual and temporal phenomena and thus it simplifies historical reality. Many scholars emphasize the great importance of periodization for the study of history. In fact, any periodization suffers from one-sidedness and certain deviations from reality. However, the number and significance of such deviations can be radically diminished as the effectiveness of periodization is directly connected with its (...) author's understanding of the rules and peculiarities of this methodological procedure. In this paper we would like to suggest a model of periodization of history based on our theory of historical process. We shall also demonstrate some possibilities of mathematical modeling for the problems concerning the macroperiodization of the world historical process. This analysis identifies a number of cycles within this process and suggests its generally hyperexponential shape, which makes it possible to propose a number of forecasts concerning the forthcoming decades. (shrink)

The article presents a verbal and mathematical model of medium-term business cycles (with a characteristic period of 7–11 years) known as Juglar cycles. The model takes into account a number of approaches to the analysis of such cycles; in the meantime it also takes into account some of the authors' own generalizations and additions that are important for understanding the internal logic of the cycle, its variability and its peculiarities in the present-time conditions. The authors argue that the most important (...) cause of cyclical crises stems from strong structural disproportions that develop during economic booms. These are not only disproportions between different economic sectors, but also disproportions between different societal subsystems; at present these are also disproportions within the World System as a whole. The proposed model of business cycle is based on its subdivision into four phases: – recovery phase (which could be subdivided into the start sub-phase and the acceleration sub-phase); – upswing/prosperity/expansion phase (which could be subdivided into the growth sub-phase and the boom/overheating sub-phase); – recession phase (within which one may single out the crash/bust/acute crisis subphase and the downswing sub-phase); – depression/stagnation phase (which we could subdivide into the stabilization subphase and the breakthrough sub-phase). The article provides a detailed qualitative description of macroeconomic dynamics at all the phases; it specifies driving forces of cyclical dynamics and the causes of transition from one phase to another (including psychological causes); a special attention is paid to the turning point from the peak of overheating to the acute crisis, as well as to the turning point from the downswing to recovery. The proposed mathematical model of Juglar cycle takes into account the following effects that are typical for the market economy: • positive feedbacks between various economic processes; • presence of a certain inertia, time lags in reactions of the economic subsystem to the change in conditions; • amplification by the financial subsystem of positive feedbacks and time lags in the economic subsystem; • excessive reaction to changing conditions during the acute crisis sub-phase. The authors suggest that the current crisis turns out to be rather similar to classical Juglar crises; however, there is also a significant difference, as the current crisis occurs at a truly global scale. Yet, due to this truly global scale of the current crisis, the possibilities of regulation with the national state's measures have turned out to be ineffective,whereas the suprastate regulation of financial processes hardly exists. It is shown that all these have led to the reproduction of the current crisis according to a classical Juglar scenario. (shrink)

The article offers forecasts of the geopolitical and geo-economic development of the world in the forthcoming decades. 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 the globalization that the developing countries are generally growing much faster than the developed states, the World System core starts weakening (...) and its periphery begins to strengthen. 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 the globalization was bound to lead to the explosive rise of many developing countries and the relative weakening of the developed economies. In the forthcoming decades this trend is likely to continue. It is a.. (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.

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)

В прил.: Простые математические модели динамики коллективной деятельности / Л. Е. Попов, М. И. Слободской. Мозг и обучение / Б. И. Вершинин.

This article analyzes some important aspects of socioeconomic and political development of the world in the near future. The future always stems from the present. The first part of the article is devoted to the study of some crucial events of the present, which could be regarded as precursors of forthcoming fundamental changes. In particular, it is shown that the turbulent events of late 2010 and 2011 in the Arab World may well be regarded as a start of the global (...) reconfiguration. The article also offers an analysis of some aspects of the global financial system that, according to the authors, notwithstanding all its negative points, performs certain important positive functions including the ?insurance? of social guaranties at the global scale. The second part of the article considers some global scenarios of the World System's new future and describes a few characteristics of the forthcoming ?Epoch of New Coalitions.? The article attempts to answer such questions as the following: What are the implications of the economic weakening of the United States as the World System center? Will the future World System have a leader? Will it experience a global governance deficit? Will the world fragmentation increase? (shrink)

In a previous article, ?The Coming Epoch of New Coalitions: Possible Scenarios of the Near Future? (Grinin and Korotayev 2011), it was preliminarily demonstrated that the turbulent events of late 2010 and 2011 in the Arab World may well be regarded as a start of the global reconfiguration. The subsequent events have confirmed this supposition. That is why in the present article we develop this important theme. The article offers a thorough analysis of the internal conditions of Arab countries on (...) the eve of revolutionary events, as well as causes and consequences of the Arab Revolutions. The article also offers an analysis of similar historical World System reconfigurations starting with the sixteenth-century Reformation. The analysis is based on the theory (developed by the authors) of the periodical catch-ups experienced by the political component of the World System that tends to lag behind the World System economic component. Thus, we show that the asynchrony of development of various functional subsystems of the World System is a cause of the synchrony of major political changes. In other words, within the globalization process, political transformations tend to lag far behind economic transformations. And such lags cannot constantly increase, the gaps are eventually bridged, but in not quite a smooth way. The article also suggests an explanation why the current catch-up of the World System political component started in the Arab World. (shrink)

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)

Since 1997, FORUM has been an integral part of the landscape of European studies. In addition to contemporary history, it offers insights into the history of ideas and reviews books on Central and Eastern European history. It offers more than just history--for instance, interdisciplinary discussions by political scientists, literary, legal, and economic scholars, and philosophers. FORUM sees itself as a bridge between East and West. Through the translation and publication of texts and contributions from Russian, Polish, and Czech researchers, it (...) offers the Western reader access to the scholarly discourse of Eastern Europe. The 'short' 20th century is one of the best-documented eras in history. Nevertheless, it holds more mysteries than many periods of antiquity or the Middle Ages of which we have only sparse relics. One of the biggest mysteries is the question of the causes of the collapse of civilization in the first half of the century. In Germany as well as in Russia, regimes came to power invoking the implementation of utopias that had been dreamt up during the 'long' 19th century yet which had been considered unrealizable. Now, it turned out, even the most radical utopian blueprint could be put into place. This development, intertwined with an extraordinarily deep crisis of European democracy, did not happen overnight. It had been looming for a long time. There had even been several prescient voices heralding the upcoming crisis--trailing away without being noticed. Volume 19, Issue 1 of FORUM recognizes some of these unheard prophets and scrutinizes their writings. (shrink)

We are now, after some delay, beginning actively to discuss a theme—or is it still a problem?—that has become traditional for Western sociology and political science—namely, totalitarianism. If we start from the firmly established view that construes totalitarianism as a social structure in which the state devours and exercises maximum control over all spheres of the social life of individuals, i.e., a structure based on maximum coercion , we can, it would seem, simply make concrete extrapolations of the existing theoretical (...) model to the countries and regions we have chosen to study. But it seems to me that there are still a number of not fully worked out aspects in the methodology employed to study totalitarianism, and in applied studies this leads either to a pan-totalitarian view of history or to the localization of totalitarianism in a few countries . I think that this situation cannot be "harmonized" in the traditional manner by distinguishing between a "broad" and a "narrow" meaning of the term ‘totalitarianism.’ Hence, rather than trying to "not notice" the methodological problem, I propose dealing with it in all theoretical seriousness. (shrink)

This work has four aims: (i) to provide an overview of the current debate about the semantics of knowledge attributions, i.e. sentences of the form ⌜S knows that Φ⌝; (ii) to ground the debate in a single semantic-pragmatic framework; (iii) to identify a methodology for describing the semantics of knowledge attributions; (iv) to go some way towards describing the semantics of knowledge attributions in light of this methodology, and in particular to defend moderate invariantist semantics against its main current rivals. (...) Aims (i) and (ii) are largely clarificatory; in §1 I set out a single semantic-pragmatic framework and over the course of this work show that it can be modified to explain and distinguish the various theories of the semantics of knowledge attributions currently on offer. Aim (iii) is also met in §1. I argue that a theory of the semantics of knowledge attributions T must be able to account for at least some ordinary speakers’ intuitions about the felicity or infelicity of utterances of the sentence ⌜S knows that Φ⌝ (felicity intuitions) purely in terms of its semantics. I also identify a number of theoretical considerations about knowledge and argue that if T conflicts with any one of these considerations, we should presume that T is false. Aim (iv) is met over the course of this work. According to moderate invariantism ⌜S knows that Φ⌝ is true if and only if S confidently believes the proposition expressed by Φ, this proposition is true and S’s epistemic position with respect to this proposition meets a moderately high epistemic standard. In §§2 – 5 I argue that the main current rivals to moderate invariantism – attributor contextualism, contrastivism, subject-sensitive invariantism and assessor relativism – conflict with at least one of the theoretical considerations identified in §1. In §6 I argue that moderate invariantism accounts for some ordinary speakers’ felicity intuitions purely in terms of the semantics of ⌜S knows that Φ⌝; I also argue that it is consistent with all of the theoretical considerations identified in §1. Moreover, in §§2 – 6 I argue that no theory is capable of accounting for all felicity intuitions purely in terms of the semantics of ⌜S knows that Φ⌝, and that only moderate invariantism can successfully explain why speakers have all of these intuitions. In §7 I conclude that moderate invariantism correctly describes of the semantics of knowledge attributions, or at least does so better than its main current rivals. (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 article examines the peculiarities of corporate culture formation and development in the modern stage of societal development, which is characterized by high levels of dynamism and conflict. It has been said that culture is something created by Man just as Man is the creation of culture, because culture influences behavior in a person from the beginning of their socialization through the assimilation of norms, values, models of behavior, etc. A person implements all of these in various types of relationships (...) which, in turn, develop structures, organizations, and all individuals, in particular. Corporate culture becomes the basis for the development of organizations at various levels through the application of management theory, especially when considering the current state of international, intercultural relations caused by globalization and migration processes. Corporate culture plays a particularly important role in ensuring the progressive development of science and education, and in preserving the intellectual potential of the state in conditions of social contradiction and military conflict. The development of corporate culture is based on such principles as tolerance, equality and partnership, which are embodied in the relations of any organization, corporation, etc. It has been shown that culture always involves some kind of change, and through such change, corporate culture can act as the criterion that will ensure a group’s integrity under the pressure of external challenges and act as the measure of the internal stability of any team that has determined its goals, tasks and the purpose of its development and the effective implementation of its values and beliefs. (shrink)

O dvizhenii istorii v budushchee -- Strannai︠a︡ "ti︠u︡rʹma" istoricheskoĭ neobkhodimosti -- Istoricheskai︠a︡ novizna poni︠a︡tiĭ "individualʹnostʹ" i "lichnostʹ" -- Ob avtobiografizme -- Statʹ Evropoĭ.

What we know today of Campanella, largely thanks to the work of Italian researchers (L. Firpo, R. Amerio, A. Corsaro, G. di Napoli, and others), is important for our understanding of the intellectual situation that arose after the decline of the Renaissance—that situation that is best perceived and expressed in Hamlet. Of course, any historico-cultural collision is unique; but the logic of its development may contain elements of repetition. In connection with Campanula's instructive spiritual experience, I shall try to touch (...) on the somewhat broader problem that arises whenever a person who aims to change his society comes into conflict with the dominant institutional and ideological forces of that society, and yet thinks and acts within the limits set by these very forces. (shrink)

Articulated in the twenties, the doctrines of the exiled Russian ‘Evrazijstvo’ movement are undergoing a renaissance in Russia today. As the ‘Evrazijstvo movement counted among the most original ideological currents of the Russian diaspora, association with its doctrines could well add to the reputation of a given group or groups. This is the case with the journal Elementy which considers itself as the inheritor of ‘classical’ ‘Evrazijstvo’. Is this claim justified? The article is addressed to this question.

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.