An online game of chess against a human opponent appears to be indistinguishable from a game against a machine: both happen on the screen. Yet, people prefer to play chess against other people despite the fact that machines surpass people in skill. When the philosophers of 1970’s and 1980’s argued that computers will never surpass us in chess, perhaps their intuitions were rather saying “Computers will never be favored as opponents”? In this paper we analyse through the introduced concepts of (...) psychological affordances and psychological interplay, what are the mechanisms that make a human-human interaction more meaningful than a human-computer interaction. We claim that an HH chess game consists of two intertwined, but independent simultaneous games—only one of which is retained in the HC game. To help with the analysis we introduce the thought experiment of a Preferential Engagement Test which is inspired by, but non-equivalent to, the Standard Turing Test. We also explore how the PET can illuminate, and be illuminated by, various philosophies of mind reading: Theory Theory, Simulation Theory and Mind Minding. We propose that our analysis along with the concept of PET could illuminate in a new way the conditions and challenges a machine must face before it can replace humans in a given occupation. (shrink)

We prove results that falsify Silver’s dichotomy for Borel equivalence relations on the generalized Baire space under the assumptionV=L.

Working under large cardinal assumptions such as supercompactness, we study the Borel reducibility between equivalence relations modulo restrictions of the nonstationary ideal on some fixed cardinal κ. We show the consistency of Eλ-clubλ++,λ++, the relation of equivalence modulo the nonstationary ideal restricted to Sλλ++ in the space λ++, being continuously reducible to Eλ+-club2,λ++, the relation of equivalence modulo the nonstationary ideal restricted to Sλ+λ++ in the space 2λ++. Then we show that for κ ineffable Ereg2,κ, the relation of equivalence modulo (...) the nonstationary ideal restricted to regular cardinals in the space 2κ is Σ11-complete. We finish by showing that, for Π21-indescribable κ, the isomorphism relation between dense linear orders of cardinality κ is Σ11-complete. (shrink)

It is shown that the power set of $\kappa$ ordered by the subset relation modulo various versions of the non-stationary ideal can be embedded into the partial order of Borel equivalence relations on $2^\kappa$ under Borel reducibility. Here $\kappa$ is an uncountable regular cardinal with $\kappa^{<\kappa}=\kappa$.

We start by giving a survey to the theory of $${\text {Borel}}^{*}$$ sets in the generalized Baire space $${\text {Baire}}=\kappa ^{\kappa }$$. In particular we look at the relation of this complexity class to other complexity classes which we denote by $${\text {Borel}}$$, $${\Delta _1^1}$$ and $${\Sigma _1^1}$$ and the connections between $${\text {Borel}}^*$$ sets and the infinitely deep language $$M_{\kappa ^+\kappa }$$. In the end of the paper we will prove the consistency of $${\text {Borel}}^{*}\ne \Sigma ^{1}_{1}$$.

We study the κ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\kappa $$\end{document}-Borel-reducibility of isomorphism relations of complete first order theories in a countable language and show the consistency of the following: For all such theories T and T′\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$T^{\prime }$$\end{document}, if T is classifiable and T′\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$T^{\prime }$$\end{document} is not, then the isomorphism of models of T′\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} (...) \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$T^{\prime }$$\end{document} is strictly above the isomorphism of models of T with respect to κ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\kappa $$\end{document}-Borel-reducibility. In fact, we can also ensure that a range of equivalence relations modulo various non-stationary ideals are strictly between those isomorphism relations. The isomorphism relations are considered on models of some fixed uncountable cardinality obeying certain restrictions. (shrink)

Working with uncountable structures of fixed cardinality, we investigate the complexity of certain equivalence relations and show that if, then many of them are ‐complete, in particular the isomorphism relation of dense linear orders. Then we show that it is undecidable in whether or not the isomorphism relation of a certain well behaved theory (stable, NDOP, NOTOP) is ‐complete (it is, if, but can be forced not to be).

We start by giving a survey to the theory of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text {Borel}}^{*}$$\end{document} sets in the generalized Baire space \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text {Baire}}=\kappa ^{\kappa }$$\end{document}. In particular we look at the relation of this complexity class to other complexity classes which we denote by \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text {Borel}}$$\end{document}, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\Delta _1^1}$$\end{document} (...) and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\Sigma _1^1}$$\end{document} and the connections between \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text {Borel}}^*$$\end{document} sets and the infinitely deep language \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$M_{\kappa ^+\kappa }$$\end{document}. In the end of the paper we will prove the consistency of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text {Borel}}^{*}\ne \Sigma ^{1}_{1}$$\end{document}. (shrink)

This article explores the domain of legal analysis and its methodologies, emphasising the significance of generalisation in legal systems. It discusses the process of generalisation in relation to legal concepts and the development of ideal concepts that form the foundation of law. The article examines the role of logical induction and its similarities with semantic generalisation, highlighting their importance in legal decision-making. It also critiques the formal-deductive approach in legal practice and advocates for more adaptable models, incorporating fuzzy logic, non-monotonic (...) defeasible reasoning, and artificial intelligence. The potential application of neural networks, specifically deep learning algorithms, in legal theory is also discussed. The article discusses how neural networks encode legal knowledge in their synaptic connections, while the syllogistic model condenses legal information into axioms. The article also highlights how neural networks assimilate novel experiences and exhibit evolutionary progression, unlike the deductive model of law. Additionally, the article examines the historical and theoretical foundations of jurisprudence that align with the basic principles of neural networks. It delves into the statistical analysis of legal phenomena and theories that view legal development as an evolutionary process. The article then explores Friedrich Hayek’s theory of law as an autonomous self-organising system and its compatibility with neural network models. It concludes by discussing the implications of Hayek’s theory on the role of a lawyer and the precision of neural networks. (shrink)

This research is devoted to the study of scientific and methodological aspects of providing students with physical education. The research is based on the works of Russian teachers who have adopted the experience of the new higher education program for bachelor's degree. The starting point for the development of new concepts is the latest edition of the Federal State Educational Standard for Higher Education. The purpose of the study is to analysis of the scientific and methodological support of physical education (...) of students under the Federal State Educational Standard program. In the course of the research, we study the most important aspects of the formation of physical skills with the help of basic and additional types of interaction between a teacher and students. Scientific novelty lies new look at complex education, which includes an expanded set of methods, technologies for the development of cognitive interest, activity, physical skills and motivation for active recreation, a healthy lifestyle. The design technology of 2021, based on the method of new generation projects by Evgenia Semyonovna Polat, is a separate factor. The result of the study was the definition of the scientific and methodological aspects of providing physical education in the main and additional types of interaction between the teacher and students, including physical culture, sports, elite sports, competitive tests, project technology and distance learning format. (shrink)

This article reevaluates the mystical techniques and experiences peculiar to Abraham Abulafia’s Kabbalah and attempts to offer an alternative approach to their dominant understanding, which largely depends on Moshe Idel’s work. Current scholars of Jewish mysticism have a habit of highlighting the “unique character” of Abulafia’s mystical practices while asserting that they cannot be compared with the induction techniques and the psychophysical phenomena typical of hypnosis. While generally agreeing with the scholars discussed that the hyperactivation of the mind found in (...) Abulafian Kabbalah contrasts sharply with the mental relaxation attained through the mystical practices of other religious traditions, the present study takes issue with the current view of Abulafian Kabbalah’s relation to hypnotic procedures, processes, and states. This work addresses the issues present with the current view and offers a more inclusive model for interpreting Abulafia’s Kabbalah, drawing from psychiatrist Roland Fischer. (shrink)

The article aims at clarifying the historical status and cognitive potentials of such a genre of contemporary historiography of philosophy as biographical encyclopedia (dictionary). Based on extensive bibliographic material, the author demonstrates that in the late XX – early XXI centuries in the English-speaking countries there was a real outbreak of interest in encyclopedias and dictionaries, compiled from personalized articles about the life and works of philosophers of certain epochs, countries, trends, etc. According to the author, the increasing popularity of (...) this genre can be considered as a logical continuation of the historical and biographical turns that took place in the Anglo-American (analytic) philosophy in the 1980s and 1990s, respectively. The author specifically emphasizes that it caused the appearance of a significant number of encyclopedias and dictionaries, which contain the well-known facts as well as the significant elements of scholar novelty. The article also shows that similar tendencies have taken place in the contemporary Ukrainian historiography of philosophy. It is shown that Ukrainian experts also made their own significant contribution to the development of this genre. They have successfully developed a special approach, which presupposes the focus on life and works of the representatives of a particular academic institution. The intellectual value of this approach is demonstrated by the example of the recently published two-volume encyclopedia “Kyiv Theological Academy in Names: 1819-1924”. It contains a systematic and very informative presentation of the biographies of many representatives of the national philosophy, whose activities were associated with this institution. The author also shows that from the perspective of the historiography of philosophy, the general methodological foundations of this encyclopedic research is a matter of special interest. (shrink)

What the causes of aging are and which factors define lifespan are key questions in the understanding of aging. Here, it is argued that cellular life involves (i) inevitable accumulation of damage resulting from imperfectness and heterogeneity of every cellular process, and (ii) dilution of damage when cells divide. While severe damage is cleared by protective systems, milder damage can only be diluted. This is due to the high cost of accuracy, the greater number of damage forms compared to protective (...) systems, and the constraints on cellular life inherited from the prokaryotic world. This strategy also applies to cancer cells, which are particularly dependent on damage dilution. Imposing restriction on cell division necessarily leads to aging. Interventions that extend lifespan act through metabolic reprogramming, thereby changing both damage composition and the rate of damage accumulation. Thus, heterogeneity leading to myriad mild damage forms represents the cause of aging, whereas the processes that affect the damage landscape and damage accumulation are lifespan regulators. (shrink)

Using the two cases of the Icelandic Health Sector Database and Russian initiatives in biobanking, the article criticizes the view of narratives and imaginaries as a sufficient and unproblematic means of shaping public understanding of genetics and justifying population-wide projects. Narrative representations of national biobanking engage particular imaginaries that are not bound by the universal normative framework of human rights, promote affective thinking, distract the public from recognizing and discussing tangible ethical and socioeconomic issues, and harm trust in science and (...) technology. In the Icelandic case, the presentation of the project in association with national imaginaries concealed its market identity and could lead to the commodification of biodata. In the Russian case, framing in terms of "genetic sovereignty" and "civilizational code" offers pretexts for state securitization. Adherence to normative framework of human rights and public discussion of genetics in an argumentative and factual mode can counter these trends. (shrink)

In the Club of Rome report Come on! Capitalism, Short-Termism, Population and the Destruction of the Planet (2018) Kant, along with other “old” Enlighteners, is presented as the father of a world-view which led to the destabilisation of the environment in which humanity exists. The authors of the report argue that the “old Enlightenment” with its individualism, faith in the market and a consumerist attitude to nature should be scrapped. I maintain that this assessment of Kant’s philosophy is groundless and (...) that his ideas allow us both to conduct a more profound diagnosis of the crisis and to propose a more solidly founded strategy of overcoming it. First, I sum up the position of the authors concerning the loss of sustainability of development which they attribute to the philosophy of Enlightenment. Next, I outline the history and content of the notion of “sustainable development” and offer an analysis of the sources of progressivist commitment to the conquest of nature which lie outside Modern Times in the idea of the “cultural mandate”. Then I present the Kantian diagnosis of the causes of the crisis which attributes it to humankind’s failure to “mature”. I compare the idea of “the full world” formulated by the authors of the report with the idea of the “the world come of age” and their diagnosis of “capitalism — short-termism — depletion of resources” with the Kantian assessment of the attempts to escape from the predicaments of the present into the past or the future. I draw attention to Kant’s solutions to some of the specific problems indicated in the report. Instead of the strategy of “return of the cultural mandate”, proposed at this time by the authors of the report, the Kant­ian answer to the crisis is a “Copernican turn” and re-direction of the cultivating effort to the inner moral development of the human being. (shrink)

Introduction. In conservative political philoso- phy in Germany at the end of the 20th century, there developed two main approaches to social policy. The first one, paternalistic and corporat- ist approach continued the line that had been established in the 19th century and assumed the active participation of the state in regulating social support. The second, the market one, adopted American ideas of the second half of the 20th cen- tury and proposed limiting the scope of the welfare state in (...) order to save resources and avoid a nega- tive impact on the labor market. The purpose of the study is to analyze the argu- ments of the two directions of German conserva- tism at the end of the 20th century, their philo- sophical origin and their significance for politics. Methods. The article is based on the comparative historical approach, analysis of institutions and legal documents, and the hermeneutic method for studying the political, administrative and ideological context of the development of German conserva- tism at the end of the 20th century. Scientific novelty of the research. The article focuses on the intellectual heritage of German theorists, while the main attention of domestic and foreign researchers of conservative political philosophy of the late 20th century was attracted by American and British authors. Results. The key arguments of the paternalistic approach to social issues include pointing out the responsibility of elites for the well-being of the population and a strong state as a means of com- pensating for inequality in society. The arguments of the market approach are based on the appeal to the ideas of civic virtue and the protection of property as key forces that ensure social peace and well-being. Conclusions. In practice, the approach that offered the preservation and expansion of the welfare state prevailed, and favorable economic condi- tions, as well as institutional and ideological inertia, contributed to implementing solutions within the framework of this paradigm. But the ideas of the market approach have not lost their relevance, since the burden on the welfare state increases due to the aging of the population. (shrink)

Hale proposes a neo-logicist definition of real numbers by abstraction as ratios defined on a complete ordered domain of quantities (magnitudes). I argue that Hale's definition faces insuperable epistemological and ontological difficulties. On the epistemological side, Hale is committed to an explanation of measurement applications of reals which conflicts with several theorems in measurement theory. On the ontological side, Hale commits himself to the necessary and a priori existence of at least one complete ordered domain of quantities, which is extremely (...) implausible because science treats the logical structure of quantities as subject to experimentally and theoretically motivated refinements and revisions. (shrink)

The article offers an attempt to understand the present state of Kant’s legacy in Russia on the threshold of the Tercentenary. An explanans is found in the metaphors of “ tabula rasa ” and “unplowed virgin soil,” first used by Leibniz in relation to Russia in his letters and memoranda addressed to tsar Peter I and other members of the Russian elite, which became the country’s “absolute metaphors to live by” up to present time. Several known and unknown episodes from (...) the history of the reception of Kantian ideas, his followers in Russia, and the transformation of the urban environment of Kant’s life in Königsberg, as it was becoming Kaliningrad, are presented through the prism of this metaphor. Without hoping to make specific recommendations of any use from such metaphorical grounds, this study aims to emphasize the depth, interconnectedness, and basic, metaphysical tension of the relationship between Europe and Russia, which cannot be terminated at will by either side, or by a third party. In a situation where the sides are doomed to dialog, Kant, appropriated by Russia as its “subject,” occupies the unique position of mediator of philosophical understanding and peaceful action. (shrink)

In experimental settings, scientists often “make” new things, in which case the aim is to intervene in order to produce experimental objects and processes—characterized as ‘effects’. In this discussion, I illuminate an important performative function in measurement and experimentation in general: intervention-based experimental production (IEP). I argue that even though the goal of IEP is the production of new effects, it can be informative for causal details in scientific representations. Specifically, IEP can be informative about causal relations in: regularities under (...) study; ‘intervention systems’, which are measurement/experimental systems; and new technological systems. (shrink)

Chaos-related obstructions to predictability have been used to challenge accounts of theory validation based on the agreement between theoretical predictions and experimental data. These challenges are incomplete in two respects: they do not show that chaotic regimes are unpredictable in principle and, as a result, that there is something conceptually wrong with idealized expectations of correct predictions from acceptable theories, and they do not explore whether chaos-induced predictive failures of deterministic models can be remedied by stochastic modeling. In this paper (...) we appeal to an asymptotic analysis of state space trajectories and their numerical approximations to show that chaotic regimes are deterministically unpredictable even with unbounded resources. Additionally, we explain why stochastic models of chaotic systems, while predictively successful in some cases, are in general predictively as limited as deterministic ones. We conclude by suggesting that the way in which scientists deal with such principled obstructions to predictability calls for a more comprehensive approach to theory validation, on which experimental testing is augmented by a multifaceted mathematical analysis of theoretical models, capable of identifying chaos-related predictive failures as due to principled limitations which the world itself imposes on any less-than-omniscient epistemic access to some natural systems. (shrink)