The notion of conditional entropy is extended to noncomposite systems. The \-deformed entropic inequalities, which usually are associated with correlations of the subsystem degrees of freedom in bipartite systems, are found for the noncomposite systems. New entropic inequalities for quantum tomograms of qudit states including the single qudit states are obtained. The Araki–Lieb inequality is found for systems without subsystems.

The keynote idea of the theses is contained in the author’s assumption that modern philosophy doesn’t meet its claiming pretensions: to be universal form of knowledge. First of all philosophy is connected not with knowledge but with ideas and secondly being authentic it “exists only in everyday life”.1 In orderthat philosophy could realize its innate essence corresponding conditions of social being should exist but they are still absent and therefore philosophy is absent as well. Its place is occupied by metaphysics (...) which is free movement of thinking that has no definiteness as the condition of being of any form of thought. That iswhy we watch crisis state of “philosophy” which becomes apparent in vagueness of its subject: “philosophy is not only one, there are many of them”. The author supposes that philosophy as the highest relation of mankind to objective reality is the only one. Philosophy lowered down from the heaven (Platon, Ciceron) in the field of human being must raise people not only to purity of thought, but mainly to purity of their activity both with each other and with nature. Then real interaction of men and nature will take place. This will be the beginning of spiritualization of the Universe. It may exist only under the conditions of social uniformity as historical form of Weltanschauung (world outlook) that removes religious form. Realization of its being supposes fundamental change of social life. It is necessary that private property should be replaced with social property in the sphere of social production. Only under these conditions philosophy may appear and exist as historical form of Weltanschauung. (shrink)

An increase in the level of strength endurance can be carried out during the period of a special preparatory stage in the annual cycle of training athletes. The present research proposes a periodization of shooters' sports training with the substantiation of the measures taken to develop such a motor quality as strength endurance. The aim of the research is to organize the training process in a way that the development of the motor quality, strength endurance, enhanced performance in shooting. Young (...) men of 13-15 years old engaged in educational training groups of children's and youth sports school on bullet shooting were selected to participate in the experiment. (shrink)

Tomographic approach to describing both the states in classical statistical mechanics and the states in quantum mechanics using the fair probability distributions is reviewed. The entropy associated with the probability distribution (tomographic entropy) for classical and quantum systems is studied. The experimental possibility to check the inequalities like the position–momentum uncertainty relations and entropic uncertainty relations are considered.

The main problem discussed in this paper is: Why and how did animal cognition abilities arise? It is argued that investigations of the evolution of animal cognition abilities are very important from an epistemological point of view. A new direction for interdisciplinary researches – the creation and development of the theory of human logic origin – is proposed. The approaches to the origination of such a theory (mathematical models of ``intelligent invention'' of biological evolution, the cybernetic schemes of evolutionary progress (...) and purposeful adaptive behavior) as well as potential interdisciplinary links of the theory are described and analyzed. (shrink)

The dynamical equations of quantum mechanics are rewritten in the form of dynamical equations for the measurable, positive marginal distribution of the shifted, rotated, and squeezed quadrature introduced in the so-called “symplectic tomography”. Then the possibility of a purely classical description of a quantum system as well as a reinterpretation of the quantum measurement theory is discussed and a comparison with the well-known quasi-probabilities approach is given. Furthermore, an analysis of the properties of this marginal distribution, which contains all the (...) quantum information, is performed in the framework of classical probability theory. Finally, examples of the harmonic oscillator's states dynamics are treated. (shrink)

It is usually believed that a picture of Quantum Mechanics in terms of true probabilities cannot be given due to the uncertainty relations. Here we discuss a tomographic approach to quantum states that leads to a probability representation of quantum states. This can be regarded as a classical-like formulation of quantum mechanics which avoids the counterintuitive concepts of wave function and density operator. The relevant concepts of quantum mechanics are then reconsidered and the epistemological implications of such approach discussed.

Die assyrischen Königstitel und -epitheta vom Anfang bis Tukulti-Ninurta I. und seinen Nachfolgern. By Vladimir Sazonov. State Archives of Assyria Studies, vol. 25. Helsinki: The Neo-Assyrian Text Corpus ProJect, 2016. Pp. xiii + 139. $59. [Distributed by Eisenbrauns, Winona Lake, IN].

The spiritual geography of Russian cosmism. General characteristics ; Recent definitions of cosmism -- Forerunners of Russian cosmism. Vasily Nazarovich Karazin (1773-1842) ; Alexander Nikolaevich Radishchev (1749-1802) ; Poets: Mikhail Vasilyevich Lomonosov, (1711-1765) and Gavriila Romanovich Derzhavin (1743-1816) ; Prince Vladimir Fedorovich Odoevsky (1803-1869) ; Aleksander Vasilyevich Sukhovo-Kobylin (1817-1903) -- The Russian philosophical context. Philosophy as a passion ; The destiny of Russia ; Thought as a call for action ; The totalitarian cast of mind -- The religious and (...) spiritual context. The kingdom of god on earth ; Hesychasm: two great Russian saints ; The Third Rome ; Pre-Christian antecedents -- The Russian esoteric context. Early searches for "deep wisdom" ; Popular magic ; Higher magic in the time of Peter the Great ; Esotericism after Peter the Great ; Theosophy and anthroposophy -- Nikolai Fedorovich Fedorov (1829-1903), the philosopher of the common task ; The one idea ; The unacknowledged prince ; The village teacher ; First disciple: Dostoevsky and Tolstoy ; The Moscow librarian ; Last years: Askhabad: the only portrait -- The "common task" ; Esoteric dimensions of the "common task" ; Fedorov's legacy: projectivism, delo, regulation -- The religious cosmists. Vladimir Sergeevich Solovyov (1853-1900) ; Sergei Nikolaevich Bulgakov (1871-1944) ; Pavel Aleksandrovich Florensky (1882-1937) ; Nikolai Aleksandrovich Berdyaev (1874-1948) -- The scientific cosmists. Konstantin Edouardovich Tsiolkovsky (1857-1935) ; Vladimir Ivanovich Vernadsky (1863-1945) ; Alexander Leonidovich Chizhevsky (1897-1964) ; Vasily Feofilovich Kuprevich (1897-1969) -- Promethean theurgy. Life-creation ; Cultural immortalism ; God-building ; Re-aiming the arrows of Eros ; Technological utopianism ; Occultism -- Fedorov's twentieth century followers. Nikolai Pavlovich Peterson (1844-1919) and Vladimir Aleksandrovich Kozhevnikov (1852-1917) ; Svyatogor and the biocosmists ; New wine and the universal task ; Alexander Konstantinovich Gorsky (1886-1943) and Nikolai Alexandrovich Setnitsky (1888-1937) ; Valerian Nikolaevich Muravyov (1885-1932) ; Vasily Nikolaevich Chekrygin (1897-1922) -- Cosmism and its offshoots today. The N.F. Fedorov museum-library ; The Tsiolkovsky museum and Chizhevsky center ; ISRICA - Institute for Scientific Research in Cosmic Anthropoecology ; Lev Nikolaevich Gumilev (1912-1992) and neo-eurasianism ; The hyperboreans ; Scientific immortalism: Igor Vishev, Danila Medvedev ; Conclusions about the Russian cosmists. (shrink)

The title of this article will perhaps seem excessively contentious to the reader. What solitude of Vladimir Ivanovich Vernadskii, he might ask, if he has even the slightest familiarity with the scientist's biography?

Fenomen russkogo kosmizma -- Nikolaĭ Fedorovich Fedorov -- Konstantin Ėduardovich T︠S︡iolkovskiĭ -- Vladimir Ivanovich Vernadskiĭ -- Aleksandr Leonidovich Chizhevskiĭ.

This paper examines the connection between lies, deception, and self-deception. Understanding this connection is important because the consensus is that you cannot deceive yourself by lying since you cannot make yourself believe as true a proposition you already believe is false – and, as a liar, you must assert a proposition you believe is false. My solution involves refining our analysis of lying: people can lie by asserting what they confidently believe is true. Thus, self-deceivers need not replace one belief (...) with another; rather, they may just increase existing credence in a proposition they already believe is true. (shrink)

People are remarkably smart: They use language, possess complex motor skills, make nontrivial inferences, develop and use scientific theories, make laws, and adapt to complex dynamic environments. Much of this knowledge requires concepts and this study focuses on how people acquire concepts. It is argued that conceptual development progresses from simple perceptual grouping to highly abstract scientific concepts. This proposal of conceptual development has four parts. First, it is argued that categories in the world have different structure. Second, there might (...) be different learning systems that evolved to learn categories of differing structures. Third, these systems exhibit differential maturational course, which affects how categories of different structures are learned in the course of development. And finally, an interaction of these components may result in the developmental transition from perceptual groupings to more abstract concepts. This study reviews a large body of empirical evidence supporting this proposal. (shrink)

We examine some of Connes’ criticisms of Robinson’s infinitesimals starting in 1995. Connes sought to exploit the Solovay model S as ammunition against non-standard analysis, but the model tends to boomerang, undercutting Connes’ own earlier work in functional analysis. Connes described the hyperreals as both a “virtual theory” and a “chimera”, yet acknowledged that his argument relies on the transfer principle. We analyze Connes’ “dart-throwing” thought experiment, but reach an opposite conclusion. In S , all definable sets of reals are (...) Lebesgue measurable, suggesting that Connes views a theory as being “virtual” if it is not definable in a suitable model of ZFC. If so, Connes’ claim that a theory of the hyperreals is “virtual” is refuted by the existence of a definable model of the hyperreal field due to Kanovei and Shelah. Free ultrafilters aren’t definable, yet Connes exploited such ultrafilters both in his own earlier work on the classification of factors in the 1970s and 80s, and in Noncommutative Geometry, raising the question whether the latter may not be vulnerable to Connes’ criticism of virtuality. We analyze the philosophical underpinnings of Connes’ argument based on Gödel’s incompleteness theorem, and detect an apparent circularity in Connes’ logic. We document the reliance on non-constructive foundational material, and specifically on the Dixmier trace −∫ (featured on the front cover of Connes’ magnum opus) and the Hahn–Banach theorem, in Connes’ own framework. We also note an inaccuracy in Machover’s critique of infinitesimal-based pedagogy. (shrink)

In his article, Grossmann argues that, in the context of human cooperative caregiving, heightened fearfulness in children and human sensitivity to fear in others are adaptive traits. I offer and briefly defend a rival hypothesis: Heightened fearfulness among infants and young children is a maladaptive trait that did not get deselected in the process of evolution because human sensitivity to fear in others mitigates its disadvantageous effects to a sufficient extent.

Appearing here in English for the first time, Vladimir Jankélévitch's _Henri Bergson_ is one of the two great commentaries written on Henri Bergson. Gilles Deleuze's _Bergsonism_ renewed interest in the great French philosopher but failed to consider Bergson's experiential and religious perspectives. Here Jankélévitch covers all aspects of Bergson's thought, emphasizing the concepts of time and duration, memory, evolution, simplicity, love, and joy. A friend of Bergson's, Jankélévitch first published this book in 1931 and revised it in 1959 to (...) treat Bergson's later works. This unabridged translation of the 1959 edition includes an editor's introduction, which contextualizes and outlines Jankélévitch's reading of Bergson, additional essays on Bergson by Jankélévitch, and Bergson's letters to Jankélévitch. (shrink)

An algorithm recognizing admissibility of inference rules in generalized form (rules of inference with parameters or metavariables) in the intuitionistic calculus H and, in particular, also in the usual form without parameters, is presented. This algorithm is obtained by means of special intuitionistic Kripke models, which are constructed for a given inference rule. Thus, in particular, the direct solution by intuitionistic techniques of Friedman's problem is found. As a corollary an algorithm for the recognition of the solvability of logical equations (...) in H and for constructing some solutions for solvable equations is obtained. A semantic criterion for admissibility in H is constructed. (shrink)

This text is a classic of Lenin - his essay explores materialism and its relation to capitalism and how Communism can get over this psychological wish for material and empirical ownership.

We prove, in ZFC,the existence of a definable, countably saturated elementary extension of the reals.

"Although the original version of Vladimir Jankelevitch's book La mauvaise conscience appeared in 1933, and a second, significantly expanded version appeared in 1951, the present translation corresponds to the 1966 version of the book as it is found in the anthology Vladimir Jankelevitch, philosophie morale."--Translator's introduction.

The widespread assessment of the early period of Semyon L. Frank’s work as being influenced by German Neo-Kantianism is in need of a critical scrutiny. There are several reasons why the Russian philosopher’s interest in Neo-Kantianism merits a closer look. First, two systemic theories belonging to different trends exerted a decisive influence on Russian philosophy in the late nineteenth and early twentieth centuries: German Neo-Kantianism and Vladimir Solovyov’s school of all-unity. Second, Frank himself and the German Neo-Kantians considered Nicholas (...) of Cusa to be one of their forerunners and pointed out the importance of his mathematical ideas for their mathematical studies. Thirdly and lastly, Frank paid particular attention, especially in his formative period as a philosopher, to the leading trend in the early twentieth century, namely German Neo-Kantianism, which led some students of his work to believe that German Neo-Kantianism played the decisive role in Frank’s abandonment of Marxism in favour of religious ontology. Frank’s fundamental disagreement with German Neo-Kantianism was expressed in his work The Object of Knowledge in which he criticised the Neo-Kantian concepts of number and time. Although Frank rightly points out the one-sidedness of the Neo-Kantian definition of number, most notably in the works of the Marburg philosopher Paul Natorp, on the whole his criticism of the Neo-Kantian concept of number and time as being different from his own is not entirely convincing. In my opinion, Frank’s attempt to explain the abstract concept of number through a still more abstract concept of all-unity was not crowned with success because he ignored the experience of Christian theology and the Trinity dogma as well as the profound thoughts of the Rev. Pavel Florensky on this topic. (shrink)

Qu'est-ce que la nostalgie sinon une mélancolie humaine rendue possible par la conscience de quelque chose d'autre, d'un ailleurs, d'un contraste entre passé et présent? Et cette nostalgie n'est-elle pas aussi provoquée essentiellement par l'irréversibilité du temps? Car on ne saurait remonter le cours du temps, tel est l'obstacle insurmontable qu'il oppose à nos entreprises. C'est notre impuissance devant cette impossibilité qui fait toute l'amertume de la nostalgie et l'absurdité des chimères du rajeunissement. La nostalgie n'est pas le mal (lu (...) retour: on peut toujours revenir à son point de départ, à son lieu natal (l'espace se prête docilement à toutes nos allées et venues) mais il est impossible de redevenir celui qu'on était au moment du départ. Mais si le temps s'oppose irréductiblement à la rétrogradation il ouvre devant nous une carrière infinie à la liberté. L'homme peut s'ouvrir à l'idée du futur et confirmer ce que le temps affirme. Se servant d'exemples tirés de la vie quotidienne aussi bien que d'oeuvres poétiques, philosophiques ou musicales, Vladimir Jankélévitch démontre en fin de compte que l'irréversible n'admet qu'un seul remède : le consentement joyeux de l'homme à l'avenir, au futur. (shrink)

"L'Aventure, l'Ennui et le Sérieux sont trois manières dissemblables de considérer le temps. Ce qui est vécu, et passionnément espéré dans l'aventure, c'est le surgissement de l'avenir. L'ennui, par contre, est plutôt vécu au présent : dans cette maladie l'avenir déprécie rétroactivement l'heure présente, alors qu'il devrait l'éclairer de sa lumière. Quant au sérieux, il est une certaine façon raisonnable et générale non pas de vivre le temps, mais de l'envisager dans son ensemble, de prendre en considération la plus longue (...) durée possible. C'est assez dire que si l'aventure se place surtout au point de vue de l'instant, l'ennui et le sérieux considèrent le devenir surtout comme intervalle : c'est le commencement qui est aventureux, mais c'est la continuation qui est, selon les cas, sérieuse ou ennuyeuse." Publié en 1963, L'Aventure, l'Ennui, le Sérieux est un jalon majeur de la pensée de Vladimir Jankélévitch. Cet ouvrage constitue une première synthèse de sa pensée, où l'on peut distinguer deux critères essentiels qui fondent l'unité de son oeuvre : la dignité philosophique donnée à des objets jugés mineurs, et la volonté radicale de mettre en lumière la dimension temporelle de l'action. (shrink)