The book provides a comprehensive overview on the state of the art of the quantum part of mathematical physics. In particular, it contains contributions to the spectral theory of Schrödinger and random operators, quantum field theory, relativistic quantum mechanics and interacting many-body systems.It also presents an overview on the achievements in mathematical physics since the last conference QMath11 held at Hradec Kralove, Czechia in 2010.

The paper gives a survey of results related to a problem of automatic recognizing important properties of non-classical logics.

Chapter One: Constructions. Entities, constructions, and functions When one travels from Los Angeles to New York, going, say, by way of St. Louis, Chicago, ...

2 Popper's Logical Definition of Verisimilitude. 3 Popper's Probabilistic Definition of Verisimilitude. 4 Conclusion.

Traxler, Pickering, and Clifton found that ambiguous sentences are read faster than their unambiguous counterparts. This so-called ambiguity advantage has presented a major challenge to classical theories of human sentence comprehension because its most prominent explanation, in the form of the unrestricted race model, assumes that parsing is non-deterministic. Recently, Swets, Desmet, Clifton, and Ferreira have challenged the URM. They argue that readers strategically underspecify the representation of ambiguous sentences to save time, unless disambiguation is required by task demands. When (...) disambiguation is required, however, readers assign sentences full structure—and Swets et al. provide experimental evidence to this end. On the basis of their findings, they argue against the URM and in favor of a model of task-dependent sentence comprehension. We show through simulations that the Swets et al. data do not constitute evidence for task-dependent parsing because they can be explained by the URM. However, we provide decisive evidence from a German self-paced reading study consistent with Swets et al.'s general claim about task-dependent parsing. Specifically, we show that under certain conditions, ambiguous sentences can be read more slowly than their unambiguous counterparts, suggesting that the parser may create several parses, when required. Finally, we present the first quantitative model of task-driven disambiguation that subsumes the URM, and we show that it can explain both Swets et al.'s results and our findings. (shrink)

In this article I explore Maimon’s role in the evolution of Kant’s understanding of the function of the history of philosophy in philosophical enquiry. Kant is often viewed as holding an ambivalent...

International and domestic law offer a study in contrasts: States' legal obligations often depend on their consent to specific international legal norms, whereas domestic law applies to individuals with or without their consent; enforcement in international law is weak and, for many international treaties, non‐existent, whereas states spend considerable resources to create centralized coercive enforcement mechanisms; and international law is characterized by much less institutional differentiation and specialization of functions than domestic legal systems are. These differences have invited a number (...) of skeptical challenges to international law, 3 of which we explore in this essay. The first points to 1 or more of the deviations of international law's institutional structure from that of a modern state's legal system as a basis for denying that international law is really “law.” Central to the debates over international law's status as law are concerns about whether and why the concepts of law inherited from domestic legal systems should serve as the blueprint for theorizing law in general and international law in particular. The second skeptical challenge targets international law's legitimacy. It claims that we lack reasons to treat international legal norms or the exercise of political power by international institutions, as anything other than an attempt by states to advance their national interests. If this challenge succeeds, states and other subjects of international law have merely prudential reasons to comply with it rather than a moral duty to obey it. Following a brief description of recent debates over how we ought to understand the concept of legitimacy when used to assess international political practices or global governance, we survey several possible bases for a moral duty to obey or respect international law. These include state consent, instrumental accounts of legitimate authority, and global democracy. The third set of challenges focuses on the relationship between state sovereignty and international law. International rules and institutions often make demands for reform affecting the domestic law of a state in order to elicit compliance with international law. Skeptics argue that the rule of international law is incompatible with states' political self‐determination. Regardless of whether their defense of this claim ultimately succeeds, thoughtful engagement with it may well require us to rethink some of the fundamental concepts and normative ideals in political philosophy, including state sovereignty, democracy, individual rights, political authority, and political obligation. (shrink)

Roman Catholic and Eastern Orthodox theologians claim that the unique event of Christ’s sacrifice on Calvary is present in Eucharistic liturgies. A popular explanatory strategy for this miraculous presence suggests that due to its supernatural character the Eucharist “conquers time,” transcends its boundaries, and allows for temporal coincidence of two chronologically distant events. I discuss the four main approaches within this strategy that can be discovered in contemporary theological writings. The first approach implies a time travel of the Calvary event. (...) The second suggests the time travel of Eucharistic participants. The third eliminates the chronological distance by relocating one of the events into a timeless reality. The fourth assumes multilocation of the event across time. I argue that each of these approaches is untenable on philosophical or theological grounds. (shrink)

Introduction. The article is focused on analyzing the aesthetic aspect of A. Kojève’s philosophy, the ability of his philosophy, from an aesthetic point of view, to clarify a number of key problems of the modern political and cultural environment. The purpose of the study is to determine the epistemological attitude of A. Kojève’s philosophy able to clarify the way in which his philosophy problematizes the current cultural and political reality. Methods. Hermeneutics, comparative analysis and deconstruction are used as research methods. (...) Comparative analysis allows us to demarcate A. Kojève’s own line of reasoning, in the context of aesthetic and epistemological theories, as well as Hegelian themes themselves. Hermeneutics is the central method in the work, since the philosophy of A. Kojeve requires interpretation as an aesthetic theory. Deconstruction, formalized to the status of a method according to P. de Man, allows us to detect inconsistencies, the principle of mutual problematization of Kojeve’s philosophy and the current political and epistemological agenda. Scientific novelty of the research. The standard way of interpreting the work of A. Kojève is to evaluate him as an interpreter of G. Hegel. The author analyzes some meaning of A. Kojève’s philosophy, separate from G. Hegel’s explanation of the text. The novelty lies not only in the fact that A. Kojève’s philosophy is defined as theorizing that goes beyond technical hermeneutics (clear presentation), but also as a specific representation of such theorizing as epistemological aesthetic theory. The latter is a rather rare interpretation of the philosophy of A. Kojeve. This allows us to expand the traditional assumption that post-Hegelian epistemesthetics is the property of an extremely limited number of authors (for example, B. Croce). Moreover, such an interpretation of A. Kojève’s theories is a new element in the emerging trend of considering political issues within the framework of epistemological aesthetics. Results. The specific mode of interpreting G. Hegel, which is carried out by A. Kojève, turns the philosophy of the former into a unique aesthetic project. In this project, the category of aesthetic experience comes to the foreground, indicating the empty, formal nature of any discourse. In this regard, any claim to knowledge of reality, to a correct idea of the subject is replaced by the idea of creating the subject of discourse. Consistent treatment of this idea is symptomatic of the philosophy of A. Kojève. This philosophy is a reflection of those historical changes that gave rise to the culture of “aesthetic rationality”: empty and formal. In A. Kojève’s philosophy, one can see how such a culture of the End of History is, contrary to Hegelian ideas, not the era of the struggle decline, but the era of its strange transformation, a symptom of increasing political violence. Conclusions. A. Kojève’s philosophy is considered not as a utopian political project, but as a problematization of the modern cultural and political sphere. The latter is understood as an indication of the inconsistency of ontological discourses of Truth, the discovery in the very essence of discursive practices of an empty, formal principle, and therefore primarily of interest to aesthetics. The modern era of the End of History and the end of the era of persuasive speech gives an idea of the main political paradox (at least for the philosophy of A. Kojève, and at most for the modern political environment). The era of disappointment in discourse should become an era of refusal to fight for discourses, but it becomes an era of maximizing violence, since it is in a situation of disappointment that discourses can only be supported by force. We move from unconvincing speech to convincing violence, but it is possible to understand the origins and specifics of this transition only by considering A. Kojève’s philosophy in the light of such a discipline as aesthetics. (shrink)

I. The framework. 1, Aristotle's project and methods. 2, The perceptual capacity of the soul. 3, The sensory apparatus. 4, The common sense and the related capacities -- II. The terminology. 1, Overlooked occurrences of the phrase 'common sense'. 2, De anima III.1 425a27. 3, De partibus animalium IV.10 686a31. 4, De memoria et reminiscentia 1 450a10. 5, De anima III.7 431b5. 6, Conclusions on the terminology -- III. Functions of the common sense. 1, Simultaneous perception and cross-modal binding. 2, (...) Perceptual discrimination. 3, Waking, sleep, and control of the senses. 4, Perceiving that what we see and hear, and monitoring of the senses. 5, Other roles of the common sense -- Conclusion. (shrink)

Motivated by the problem of finding finite versions of classical incompleteness theorems, we present some conjectures that go beyond NP ≠ coNP. These conjectures formally connect computational complexity with the difficulty of proving some sentences, which means that high computational complexity of a problem associated with a sentence implies that the sentence is not provable in a weak theory, or requires a long proof. Another reason for putting forward these conjectures is that some results in proof complexity seem to be (...) special cases of such general statements and we want to formalize and fully understand these statements. Roughly speaking, we are trying to connect syntactic complexity, by which we mean the complexity of sentences and strengths of the theories in which they are provable, with the semantic concept of complexity of the computational problems represented by these sentences. -/- We have introduced the most fundamental conjectures in our earlier works. Our aim in this article is to present them in a more systematic way, along with several new conjectures, and prove new connections between them and some other statements studied before. (shrink)

The subject of the study is the socio-cultural threats to the information security of Russian citizens associated with ChatGPT technologies (Chat Generative Pre-trained Transformer, a machine-generated text response generator simulating a dialogue). The object of research − evaluation of the ratio of advantages and threats of generative language models based on "machine learning" in modern (2021-2023) scientific literature (journals HAC K1, K2 and Scopus Q1, Q2). The scientific novelty of the research lies in the culturological approach to the analysis of (...) threats to the security of Russian citizens associated with the use of ChatGPT as one of the technologies of "artificial intelligence". The formulation of the problem of the classical Turing test "to distinguish a person from a machine" is characterized as a scholastic abstraction, instead a more correct and productive approach is proposed: a socio-cultural assessment of the value (based on cultural axiology) of new computer technologies. The starting point of the analysis is the determination of socio-cultural value (or, conversely, damage) as a result of the use of generative language models based on machine learning. Further, the contribution and responsibility of various socio-cultural subjects of its creation and application are revealed − user, creator and developer. The result of the application of the proposed approach is the deconstruction of the discourse of the "philosophy of artificial intelligence" in terms of uncritical translation of developer declarations intended for marketing and attracting financing. Hypertrophied perception, precariously balancing on the edge of utopia and dystopia, is assessed as a risk of incorrect identification and ranking of threats to information security. Assumptions about the hypothetical "superweapon of psychological warfare" mask modern incidents of cross-border leakage of confidential data, the risks of being held accountable for publishing deliberately false information and illegal content as a result of using ChatGPT. National security measures are recommended, including restrictive measures and increasing the general civil culture of information security of users, as well as the orientation of domestic developments of solutions of this type on traditional values, socio-cultural identity and interests of Russian citizens. (shrink)

We prove an exponential lower bound on the length of cutting plane proofs. The proof uses an extension of a lower bound for monotone circuits to circuits which compute with real numbers and use nondecreasing functions as gates. The latter result is of independent interest, since, in particular, it implies an exponential lower bound for some arithmetic circuits.

Of two false theories, One can be, Intuitively, Closer to the truth than the other. The purpose of the article is to propose a rigorous explication of this intuitive notion.

“Eco-labels” are an increasingly important form of private regulation for sustainability in areas such as carbon emissions, water consumption, ethical sourcing, or organic produce. The growing interest and popularity of eco-labels has also been coupled with growing concerns about their credibility, in part because the standard-setting and conformity assessment practices that eco-labels adopt exhibit striking differences. In this paper, we assess which assurance practices contribute to eco-labels being perceived as better governed, in the eyes of experts as well as the (...) media. Unlike previous studies, which are mostly conceptual, qualitative, or focused on one or few eco-labels, we study a large set of eco-labels, combining data from three different sources. Our findings suggest that experts and media are primarily concerned about “re-assurance” practices, looking for one or preferably multiple layers of “re-assurance” that independent parties are overseeing the eco-label and the firms certified under it. (shrink)

The article analyzes the concept of serendipity as a property and state of personality. The approach chosen by the author is aesthetic; the problem is covered from the perspectives of pedagogy and didactics. The object of the study is the phenomenon of "intuitive serendipity", the subject is the methods of creativity development. Comparison of different types of thinking (inductive, deductive, paradoxical) allowed us to make a number of generalizing judgments. In particular, the superiority of "paradox logic" over formal logic and (...) the role of intuition and "sense of truth" in the process of cognition. On the basis of the conclusions it is proposed to discuss the author's hypothesis of the trigger principle of learning based on cultivating a craving for knowledge, ideological immunity and the ability to independently search for and analyze information, as well as to implement it in the creative process. В статье приводится анализ понятия серендипности как свойства и состояния личности. Выбранный автором подход — эстетический; освещение проблемы в ракурсах педагогики и дидактики. Объект исследования — феномен "интуитивной прозорливости", предмет — методики развития творческого потенциала. Сравнение различных типов мышления (индуктивное, дедуктивное, парадоксальное) позволило выйти на ряд суждений обобщающего характера. В частности — о превосходстве "логики парадокса" над логикой формальной и о роли интуиции и "чувства истины" в процессе познания. На основании выводов предлагается обсудить авторскую гипотезу триггерного принципа обучения, основанного на культивировании тяги к знаниям, идеологического иммунитета и способности самостоятельно искать и анализировать информацию, а также реализовывать ее в творческом процессе. (shrink)

Despite relative neglect in the literature, Kant’s published and unpublished writings in theoretical philosophy reveal a sustained and at times ambivalent effort to come to terms with the problem of miracles. Because they entail a form of supernatural causation that undermines the law-governedness of the order of nature, miracles pose a significant problem for Kant’s metaphysics. I explore in detail Kant’s account of miracles in conjunction with the relevant aspects of his metaphysics of nature in order to establish in what (...) sense miracles are possible, and how they fit into Kant’s architectonic more generally. (shrink)

There is probably only one information system in living nature — the macromolecular system including DNA, RNA and protein. Its unity for the genetic and nervous activity can be followed in the storage of information (heredity, memory) and in its processing (recombination and selection of both genetic and mental information). According to the hypothesis of the code of nerve impulses, nucleotide triplets of the nucleus, or more likely amino acids of the surface protein of the impulse generating area of a (...) neuron, generate a limited variety of interspike intervals so that each amino acid corresponds to a certain interspike interval and this particular interval initiates by means of a specific neurotransmitter, the synthesis of the same amino acid (or nucleotide triplet) in the postsynaptic neuron. Thus, a series of impulses produces in the postsynaptic neuron a sequence of amino acids in a form of a polypeptide identical to the polypeptide of the presynaptic neuron. (shrink)

My book is about the human creativity being a source of progress, and cycling of evolution caused by platitude and triviality of once high-reaching idealism. In essence the book presents an original perception of human history, based on Christian values as vital coordinates system. I hope this book will revive the interest to the Russian school of thoughts and to humanism in general.

近世を代表する思想家・伊藤仁斎。諸稿本に残る書き入れや訂正を基に、「庶民の道徳」を追究した仁斎の思想構造を浮き彫りにする。.

The article offers a rigorous explication of the intuitive notion of verisimilitude, I.E., Of the distance of a theory from the truth. The proposal is defended against charges of material inadequacy made by popper, Niniluoto, And miller.

Risk and crisis communication (RCC) is a complex constellation of multiple actors, platforms, and voices. It involves institutional actors but also laypeople. Participation by social media users can both facilitate and obstruct effective RCC. The present study draws on in-depth interviews with Swedish Facebook users, and explores motivational factors for lay participation in RCC in the context of vaccination utilizing Peter Dahlgren’s (2011) model. The contributions of this study are threefold. First, it identifies three dominant clusters of participation motivations: personal (...) interest, information brokerage, and persuasion. Second, the results show that Facebook sociality is characterized by asynchronous communication, loops, and widespread hostility. Third, degrees of content visibility set up “zones of peace” (backstage, safe communication spaces) and “zones of fight” (frontstage, open sub-arenas where various views on vaccination are debated). Moreover, the study finds that these forms of sociality and levels of visibility can both strengthen and undermine user motivations. (shrink)

The paper deals with the etymology of the personal names Qunï Säŋün and Toŋra Simä appearing in the ninth line of the Old Turkic Tonyukuk inscription. These names are borne by the envoys sent by the kagan of the Tokuz Oghuz to the Chinese and Khitan, respectively, to conclude a military alliance against the Turks. Both names have the same structure, a combination of an ethnonym vs. toŋra), referring to a tribal unit within the Tiele 鐵勒 confederation, and a title (...) of Chinese origin. Based on a thorough analysis of historical and philological data, the authors try to establish possible ethnolinguistic grounds for the Tokuz Oghuz mission, which have so far eluded researchers of the inscription and can be fully restored only in the light of the latest discoveries in the history and philology of Inner Asia of the Old Turkic period, e.g., the decipherment of the famous Khüis Tolgoi inscription from Mongolia. (shrink)

In this article, I explore the role of the first principle in Fichte’s philosophy of history and assess the extent to which its introduction is able to resolve problems in the philosophies of history of his predecessors. Particularly, I focus on Fichte’s response to the question of how history can be grasped in a systematic manner for the purposes of theoretical cognition. I argue that while Fichte is able to resolve the tension between Herder’s pluralism and Kant’s chiliasm in an (...) innovative manner, the deployment of his first principle is ultimately unsuccessful in establishing historiography on a firmer scientific foundation. (shrink)