This paper is an attempt to construct a bridge between dialectics and mathematics, to interpret main dialectical laws in terms of the theory of dynamical systems. Negation is interpreted as a discrete shift along the dynamical system trajectory. For conservative systems, double negation law is trivial as in formal logic; for non-conservative systems, this law means slow evolution of the system under consideration. There are also mathematical interpretations for the transition from quantity to quality and interconnection between opposites.

In this paper, we examine the epistemological and ontological assumptions algorithmic hiring assessments make about job seekers’ attributes (e.g., competencies, skills, abilities) and the ethical implications of these assumptions. Given that both traditional psychometric hiring assessments and algorithmic assessments share a common set of underlying assumptions from the psychometric paradigm, we turn to literature that has examined the merits and limitations of these assumptions, gathering insights across multiple disciplines and several decades. Our exploration leads us to conclude that algorithmic hiring (...) assessments are incompatible with attributes whose meanings are context-dependent and socially constructed. Such attributes call instead for assessment paradigms that offer space for negotiation of meanings between the job seeker and the employer. We argue that in addition to questioning the validity of algorithmic hiring assessments, this raises an often overlooked ethical impact on job seekers’ autonomy over self-representation: their ability to directly represent their identity, lived experiences, and aspirations. Infringement on this autonomy constitutes an infringement on job seekers’ dignity. We suggest beginning to address these issues through epistemological and ethical reflection regarding the choice of assessment paradigm, the means to implement it, and the ethical impacts of these choices. This entails a transdisciplinary effort that would involve job seekers, hiring managers, recruiters, and other professionals and researchers. Combined with a socio-technical design perspective, this may help generate new ideas regarding appropriate roles for human-to-human and human–technology interactions in the hiring process. (shrink)

Hilbert-style axiomatic systems are presented for versions of the modal logics K, where {D, 4, 5}, with noncontingency as the sole modal primitive. The classes of frames characterized by the axioms of these systems are shown to be first-order definable, though not equal to the classes of serial, transitive, or euclidean frames. The canonical frame of the noncontingency logic of any logic containing the seriality axiom is proved to be nonserial. It is also shown that any class of frames definable (...) in the noncontingency language contains the class of functional frames, and dually, there exists a greatest consistent normal noncontingency logic. (shrink)

This is a welcome reprint of a book that continues to grow in importance.

The author presents and defends three theses: (1) "the first is that it is not profitable for us at present to do moral philosophy; that should be laid aside at any rate until we have an adequate philosophy of psychology." (2) "the second is that the concepts of obligation, And duty... And of what is morally right and wrong, And of the moral sense of 'ought', Ought to be jettisoned if this is psychologically possible...." (3) "the third thesis is that (...) the differences between the well-Known english writers on moral philosophy from sidgwick to the present day are of little importance." (staff). (shrink)

We describe approximation algorithms for MAX SAT with performance ratios arbitrarily close to 1, in particular, when performance ratios exceed the limits of polynomial-time approximation. Namely, given a polynomial-time α-approximation algorithm , we construct an -approximation algorithm . The algorithm runs in time of the order ck, where k is the number of clauses in the input formula and c is a constant depending on α. Thus we estimate the cost of improving a performance ratio. Similar constructions for MAX 2SAT (...) and MAX 3SAT are also described. Taking known algorithms as , we obtain particular upper bounds on the running time of. (shrink)

Phylogenetic systematics is one of the most important analytical frameworks of modern Biology. It seems to be common knowledge that within phylogenetics, ‘groups’ must be defined based solely on the synapomorphies or on the “derived” characters that unite two or more taxa in a clade or monophyletic group. Thus, the idea of synapomorphy seems to be of fundamental influence and importance. Here I will show that the most common and straightforward understanding of synapomorphy as a shared derived character is not (...) sufficient and eventually must be rejected in favor of Nelson’s relational interpretation of such term. Arguing for this point and using three examples from previously published Apes’ genomic matrices, I explicitly demonstrate that the relationship )) with Hylobatidae as a sister taxon, may be successfully recovered by three-taxon statement analysis and three-taxon statement average consensus analysis even if all of the evident standard shared derived molecular characters of the relationship )) with Hylobatidae as a sister taxon, have been excluded from the molecular alignments. Neither conventional Maximum Parsimony nor Maximum Likelihood or Bayesian Inference can do this in such situation. Thus, our results show that the relationship )) with Hylobatidae as a sister taxon has appeared, in some way, behind standard shared derived characters: the last ones could be excluded, but the relationship remains the same. (shrink)

This paper analyzes the creative interaction between Ivan Bunin and Lev Shestov. After providing constructive feedback on observations and reflections from the preceding scholarly literature on the subject the author argues that the main point of convergence between the writer and the philosopher is their works on Leo Tolstoy. The study includes a textual analysis of the elements of Shestovian discourse that were discovered in Bunin’s essay The Liberation of Tolstoy. The author argues that the ending of The Liberation of (...) Tolstoy can be understood only in the context of existentialist discourse. Bunin's objections to the Shestov's view of Chekhov’s creative work have been studied in detail. In general, Bunin does not appear to be a “disciple” of Shestov, as he is engaged in a philosophical dialogue with him on equal terms. Existentialism is the closest philosophical tradition to Bunin’s thought than any others that arose in the twentieth century. (shrink)

In ‘Quantifiers and Propositional Attitudes’ (1956), Quine demonstrated that the naïve model-theoretic formalization of belief ascriptions de re, applied to cases of recognition failure, produces two unwelcome effects: 1) the seeming inconsistency of belief systems ascribed to rational agents, and 2) the contradictoriness of some (apparently well justified) belief reports. In the paper under discussion, Domanov claims that proof-theoretical formalization of belief ascriptions, based on the constructive type theory, precludes those effects. I challenge this claim by showing that the formalism (...) used by him reproduces at least the first of them. I suggest that this is so because of the identifying of variables from different contexts in Domanov’s definition of context extension functions. (shrink)

The article critically examines the ideas of the Dutch philosopher and ethnologist Annemarie Mol. Her main work, “The Body Multiple: Ontology in Medical Practice”, is mainly subjected to analysis. According to the author of the article, A. Mol managed to offer his own version of the “ontological turn” and, perhaps, change the accents in the entire theoretical repertoire of actor-network theory (ANT). She, carrying out a “police investigation” in hospital Z, was able to show the multiplicity of ontologies of the (...) body and its disease / illness. What is called the illness is represented by a large number of actors – people, their relationships, tools, diagnostic methods, etc. – which together can be represented as an assembly or assemblage. The “choreography of the ontology” of such an assembly is contingent, since it may be different. (shrink)

The purpose of the study is to identify the influence of the temporality of Enlightenment on the genesis and evolution of classical ideologies of Modernity. The scientific novelty it consists in the fact that the classical ideologies of modernity are presented as competing strategies for the appropriation of time by collective subjects of historical dynamics. In conservatism, the object of appropriation is an idealized past, in liberalism – an intense present, in Marxism – a bright future. As a result, it (...) can be concluded that it was the presence of a trimodal ideology, which included conservatism, liberalism and Marxism, that created the prerequisites for the simultaneous existence and dynamic development of multiple Modernities implemented within the framework of a common cultural and civilizational project. (shrink)

This book offers an introduction to the Sophists of fifth-century Athens and a new overall interpretation of their thought. Since Plato first animadverted on their activities, the Sophists have commonly been presented as little better than intellectual mountebanks - a picture which Professor Kerferd forcefully challenges here. Interpreting the evidence with care, he shows them to have been part of an exciting and historically crucial intellectual movement. At the centre of their teaching was a form of relativism, most famously expressed (...) by Protagoras as 'Man is the measure of all things', and which they developed in a wide range of views - on knowledge and argument, virtue, government, society, and the gods. On all these subjects the Sophists did far more than simply provoke Plato to thought. Their contributions were substantial and serious; they inaugurated the debate on many central philosophical questions and decisively shifted the focus of philosophical attention from the cosmos to man. (shrink)

Introduction. The fourth industrial revolution significantly changes the structure of economic relations and transforms the importance of factors in the development of territories. The purpose of the article is to identify the most significant factors in the regional development of the Ural macro region in the context of the fourth industrial revolution and to determine the directions of impacts to ensure the competitiveness and long-term growth of territories. Methods. The methodological basis of the study is based on a set of (...) scientific approaches to economic growth, concepts of regional and institutional economics. Research methods include regional, comparative and econometric factor analysis. Scientific novelty of the study. A method for identifying the significance of factors in the development of regions is proposed and the key factors for developing the subjects of the Ural macro region in the context of the fourth industrial revolution are established. The study contributes to the scientific debate on the meaning and management of institutional development factors. Results. The author presents the results of diagnosing the regulatory environment and geographic factors of the subjects of the Ural macro region. An econometric analysis of their impact on economic development has been carried out. The statistical significance for developing the volume of mining and the quality of the legal environment in the regions has been established. Informal institutions (the authors explain the phenomenon by weak differentiation of cultural characteristics and business practices of regions due to their historical connectivity) and transport and geographical location (due to a decrease in spatial influence and an increase in the role of digital technologies in production chains in Industry 4.0). Conclusions. In the Sverdlovsk and Chelyabinsk regions, it was possible to ensure higher values of GRP per capita due to a favorable regulatory environment. In general, in the Russian regions in the second decade of the 21st century, the raw material orientation remains (among the studied objects, the economies of the Orenburg region and Udmurtia are the most extractive). To ensure the country’s long-term development, it is necessary to create a favorable business climate: improving the legal environment in the areas outlined in the study, increasing the level of trust and reducing the level of corruption. (shrink)

This article discusses the role of representative strategies in twentieth-century Russian culture. Just as Russia interacted with Europe in the Marquis de Custine’s time via discourse and representation, in the twentieth century Russia re-entered European consciousness by simulating ‘socialism’. In the post-Soviet era, the nation aspired to be admitted to the ‘European house’ by simulating a ‘market economy’, ‘democracy’, and ‘postmodernism’. But in reality Russia remains the same country as before, torn between the reality of its own helplessness and poverty, (...) and the messianic myth of its own greatness. Post-Soviet culture is a product of Stalinist culture. ‘Russian postmodernism’ was created less by artists, writers, poets, and film makers, than by theorists and critics. At the beginning of the 1990s, a need to describe contemporary Russian culture emerged. In this way, ‘Russian postmodernism’ arose from the desire to ‘sell’ projects in the West—from the simple obligation to describe socialist experience in concrete, transferable terms that Westerners could grasp. The nostalgia experienced by the post-Soviet era creates its own simulated postmodernism , in which the matrices of the construction and functioning of culture cease to be connected with specifically Russian (Soviet) history, and instead reproduce Western models almost exactly. We are facing yet another attempt at radical cultural modernization. If the first attempt (revolutionary culture) was the most original and fruitful, and the second (Stalinist culture, Socialist Realism) was less productive but still original, then the third, post-Soviet, attempt (rich in individuality, but lacking in original ideas or style) is for the moment the least productive and original. If we exclude sots-art (conceptualism) from ‘Russian postmodernism’, there would be nothing left. Clearly, an original cultural model in post-Soviet Russia will not take shape until original strategies for processing the country’s cultural past are developed. In their turn, these strategies can only result from a radical transformation of post-Soviet identity into a new, genuinely Russian one. (shrink)

This article discusses the role of representative strategies in twentieth-century Russian culture. Just as Russia interacted with Europe in the Marquis de Custine’s time via discourse and representation, in the twentieth century Russia re-entered European consciousness by simulating ‘socialism’. In the post-Soviet era, the nation aspired to be admitted to the ‘European house’ by simulating a ‘market economy’, ‘democracy’, and ‘postmodernism’. But in reality Russia remains the same country as before, torn between the reality of its own helplessness and poverty, (...) and the messianic myth of its own greatness. Post-Soviet culture is a product of Stalinist culture. ‘Russian postmodernism’ was created less by artists, writers, poets, and film makers, than by theorists and critics. At the beginning of the 1990s, a need to describe contemporary Russian culture emerged. In this way, ‘Russian postmodernism’ arose from the desire to ‘sell’ projects in the West—from the simple obligation to describe socialist experience in concrete, transferable terms that Westerners could grasp. The nostalgia experienced by the post-Soviet era creates its own simulated postmodernism , in which the matrices of the construction and functioning of culture cease to be connected with specifically Russian (Soviet) history, and instead reproduce Western models almost exactly. We are facing yet another attempt at radical cultural modernization. If the first attempt (revolutionary culture) was the most original and fruitful, and the second (Stalinist culture, Socialist Realism) was less productive but still original, then the third, post-Soviet, attempt (rich in individuality, but lacking in original ideas or style) is for the moment the least productive and original. If we exclude sots-art (conceptualism) from ‘Russian postmodernism’, there would be nothing left. Clearly, an original cultural model in post-Soviet Russia will not take shape until original strategies for processing the country’s cultural past are developed. In their turn, these strategies can only result from a radical transformation of post-Soviet identity into a new, genuinely Russian one. (shrink)

We give a new proof of the following result : it is undecidable whether a given calculus, that is a finite set of propositional formulas together with the rules of modus ponens and substitution, axiomatizes the classical logic. Moreover, we prove the same for every superintuitionistic calculus. As a corollary, it is undecidable whether a given calculus is consistent, whether it is superintuitionistic, whether two given calculi have the same theorems, whether a given formula is derivable in a given calculus. (...) The proof is by reduction from the undecidable halting problem for the so-called tag systems introduced by Post. We also give a historical survey of related results. (shrink)

The characteristic features of Siberia - its vast, sparsely settled expanses, its small population and harsh climate - apply particularly to the region inhabited by the Nganasan people, the most northerly of Eurasia. Their language belongs to the Samoyed branch of the Uralian linguistic group. They live in isolation and in precarious living conditions on the Taimyr archipelago, dispersed over an immense territory (200,000 square kilometers) that they have settled extremely sparsely (the entire population seems to have hardly ever exceeded (...) one thousand). This circumstance, which explains their relative social and economic stagnation, has also marked Nganasan culture, favoring the retention of specifically Siberian elements, notably the role of shamanism. (shrink)

The depiction of pictures as specified points in a functional space is achieved by vector encoding. Picture-selective neurons are added to the declarative memory in the process of learning. New neurons are recruited from stem cells through their proliferation and differentiation. Electrical stimulation of the temporo-parietal cortex produces subjective scenes of the past similar to imagery.

The article analyzes the project of scientific justification of language Reforms, realized by the Soviet regime in 20s and 30s, elaborated by Russian and Soviet linguist Evgenij Polivanov (1891-1938). Polivanov claims that a Soviet linguist should not limit his interests to the “general linguistics" and become an active “language builder" and “language politician". The reforms should be carefully planned by the experts in language sciences who master as well the methodology of dialectical materialism. In the polemics against Nikolai Marr's Japhetidology (...) Polivanov argued that linguistics is a strict science and its deductions are not contradictory to Marxism, as the latter is primarily a materialist philosophy. His minimal program consisted in explaining his views on the evolution of language in the Marxist terms. The evolution of language is explained by the influence of internal and external factors. The socio-economical factors are not influencing the language in a direct manner, but their analysis allows to change the channel of language evolution. According to Polivanov, the introduction of Marxism into linguistics will make possible to explain the relationship between intralinguistic and extralinguistic factors and will transform the sciences of language into “social engineering of the future". (shrink)

The aim of the present paper is to show that the fundamental transformation of Russian society that had been realized by the Soviet government since the early twenties included not only the reforms of scientific institutions or the creation of a new educational system but also a radical reevaluation of the social role of the expert knowledge. It proposes a transversal analysis of the institutional history of the Soviet science and its complex relations with the state apparatus in order to (...) show that the research policy of the twenties should be considered not only as an attempt to stimulate a “catch up growth,” but rather as an anticipation of some essential problems discussed in the contemporary social epistemology. The early Soviet government had a very particular vision of “social engineering” that was both utopian and extremely pragmatic. The Soviet Union was considered as the first truly “scientific state,” based on the idea that the historical development could be accelerated due to a party lead popular mobilization. The result of this conviction was the policy of “state-sponsored evolutionism” that created a high demand for the experts in all fields of knowledge. First, it focuses on the dualism of scientific institutions in the twenties when the “old” Academy of Sciences composed of the scientists formed under the Old Regime was disputing the role of the leading research institution with the newly created Communist Academy. This period could be described as the era of “New Scientific Policy” or some kind of “primitive accumulation” of the expert knowledge. Later it explores another dualism that existed since the creation of the Soviet Union: it consisted of the opposition between two rival projects of state building. The first one was promoted by State Planning Committee and made an emphasis on the administrative division based on economical basis, the second one was a project of People’s Commissariat of Nationalities, that proposed a creation of multiple soviet “national states” based on the principle of self-determination. Both projects required a large amount of data in various fields of knowledge and promoted a creation of new research institutions and favored the pioneering study in both central economy planning and social engineering. The aim of this article is to place the soviet experience in the comparative perspective, claiming that the communist modernization should be analyzed in the context of elaboration, in Foucault’s terms, of new “governmental technologies” which are supposed to be the products of new research institutions directly or indirectly influenced by a modern state. (shrink)

The sentence cited in the title - in what follows, I refer to it as (S) - occurs in a story Russell tells us in On Denoting. It represents the class of sentences containing a comparative predicate applied twice to a single object in the scope of an epistemic verb. The problem with sentences of this type is that the received tools of logical analysis do not allow both to accurately reflect their surface structure and to take into account some (...) intuitions about our use of them in standard cases. For instance, as Kripke has shown, Russell's own analysis conflicts with our intuition since it renders (S) as an ascription of a de re belief about the size of the yacht. I argue that an analogous flaw have alternative analyses involving the notion of size, viz. ones offered by Kaplan and Salmon. In 2013, I proposed an objectual analysis of (S) which makes no use of the notion of size. That analysis has certain counter-intuitive implications, too. Recently, Gorbatov proposed a version of the objectual analysis based on interpretation of the adjective larger in (S) as a cross-world predicate in terms of Wehmeier's cross-world subjunctive modal logic (CSML). I argue that Gorbatov's analysis is counterintuitive, too, for it ascribes to the utterer a quite uncommon belief involving a particular possible world. Nevertheless, I find the idea behind his proposal - the interpretation of larger in (S) as a cross-world predicate - fruitful, and offer an alternative version of analysis of (S) in terms of CSML. The analysis I propose renders (S) as an ascription of an objectual attitude rather than a propositional one. I sketch the semantics of objectual attitude ascription involving a cross-world comparative predicate and argue that the analysis I propose is free from disadvantages of the analyses mentioned above. (shrink)

In his reply, E. Borisov fixes the points of diversion between him and his critics and sketches the directions in which his argumentation will proceed. Among the issues mentioned are the problems of the interpretation of comparative constructions (whether they are about objects or sizes), semantic contribution of the modal operator "O" (introduced by Borisov), ways of retrospective reports of affitudes.

A peculiarity of early medieval geometrical texts was that alongside Euclid's Elements they transmitted remnants of the corpus of Roman land surveyors and metaphysical digressions extraneous to geometry proper. Rather than dismissing these additions as irrelevant, this essay attempts to elucidate the cultural grounds for the indiscriminate mixture of the three disciplines -- geometry, surveying, and metaphysics. Inquiry into the broader context of early medieval culture suggests that neither geometry nor surveying was treated as an independent discipline. Texts on geometry (...) and surveying were studied mainly because they were thought to provide good opportunities for enlarging the scope of meditation on spiritual subjects. Accordingly, the main concern of this essay is to show how Christian symbolism influenced both the composition and the study of geometrical texts. The essay is based on a wide range of sources: treatises on geometry and surveying, pictorial representations of Creation, and philosophical literature in which geometry was used in arguments about ontological doctrines. (shrink)