If is a random sequence, then the sequence is clearly not random; however, seems to be “about half random”. L. Staiger [Kolmogorov complexity and Hausdorff dimension, Inform. and Comput. 103 159–194 and A tight upper bound on Kolmogorov complexity and uniformly optimal prediction, Theory Comput. Syst. 31 215–229] and K. Tadaki [A generalisation of Chaitin’s halting probability Ω and halting self-similar sets, Hokkaido Math. J. 31 219–253] have studied the degree of randomness of sequences or reals by measuring (...) their “degree of compression”. This line of study leads to various definitions of partial randomness. In this paper we explore some relations between these definitions. Among other results we obtain a characterisation of Σ1-dimension in terms of strong Martin-Löf ε-tests , and we show that ε-randomness for ε is different than the classical 1-randomness. (shrink)

We investigate the initial segment complexity of random reals. Let K denote prefix-free Kolmogorov complexity. A natural measure of the relative randomness of two reals α and β is to compare complexity K and K. It is well-known that a real α is 1-random iff there is a constant c such that for all n, Kn−c. We ask the question, what else can be said about the initial segment complexity of random reals. Thus, we study (...) the fine behaviour of K for random α. Following work of Downey, Hirschfeldt and LaForte, we say that αK β iff there is a constant such that for all n, . We call the equivalence classes under this measure of relative randomness K-degrees. We give proofs that there is a random real α so that lim supn K−K=∞ where Ω is Chaitin's random real. One is based upon work of Solovay, and the other exploits a new idea. Further, based on this new idea, we prove there are uncountably many K-degrees of random reals by proving that μ=0. As a corollary to the proof we can prove there is no largest K-degree. Finally we prove that if n ≠ m then the initial segment complexities of the natural n- and m-random sets and Ω︀) are different. The techniques introduced in this paper have already found a number of other applications. (shrink)

An infinite binary sequence X is Kolmogorov–Loveland random if there is no computable non-monotonic betting strategy that succeeds on X in the sense of having an unbounded gain in the limit while betting successively on bits of X. A sequence X is KL-stochastic if there is no computable non-monotonic selection rule that selects from X an infinite, biased sequence.One of the major open problems in the field of effective randomness is whether Martin-Löf randomness is the same as KL-randomness. Our first (...) main result states that KL-random sequences are close to Martin-Löf random sequences in so far as every KL-random sequence has arbitrarily dense subsequences that are Martin-Löf random. A key lemma in the proof of this result is that for every effective split of a KL-random sequence at least one of the halves is Martin-Löf random. However, this splitting property does not characterize KL-randomness; we construct a sequence that is not even computably random such that every effective split yields two subsequences that are 2-random. Furthermore, we show for any KL-random sequence A that is computable in the halting problem that, first, for any effective split of A both halves are Martin-Löf random and, second, for any computable, nondecreasing, and unbounded function g and almost all n, the prefix of A of length n has prefix-free Kolmogorov complexity at least n−g. Again, the latter property does not characterize KL-randomness, even when restricted to left-r.e. sequences; we construct a left-r.e. sequence that has this property but is not KL-stochastic and, in fact, is not even Mises–Wald–Church stochastic.Turning our attention to KL-stochasticity, we construct a non-empty class of KL-stochastic sequences that are not weakly 1-random; by the usual basis theorems we obtain such sequences that in addition are left-r.e., are low, or are of hyperimmune-free degree.Our second main result asserts that every KL-stochastic sequence has effective dimension 1, or equivalently, a sequence cannot be KL-stochastic if it has infinitely many prefixes that can be compressed by a factor of α<1. This improves on a result by Muchnik, who has shown that were they to exist, such compressible prefixes could not be found effectively. (shrink)

This article explores some of the roles of computer simulation in measurement. A model-based view of measurement is adopted and three types of measurement—direct, derived, and complex—are distinguished. It is argued that while computer simulations on their own are not measurement processes, in principle they can be embedded in direct, derived, and complex measurement practices in such a way that simulation results constitute measurement outcomes. Atmospheric data assimilation is then considered as a case study. This practice, which involves combining information (...) from conventional observations and simulation-based forecasts, is characterized as a complex measuring practice that is still under development. The case study reveals challenges that are likely to resurface in other measuring practices that embed computer simulation. It is also noted that some practices that embed simulation are difficult to classify; they suggest a fuzzy boundary between measurement and non-measurement. 1 Introduction2 A Contemporary View of Measurement3 Three Types of Measurement4 Can Computer Simulations Measure Real-World Target Systems?5 Case Study: Atmospheric Data Assimilation5.1 Why data assimilation?5.2 A complex measuring practice under development5.3 Epistemic iteration6 The Boundaries of Measurement7 Epistemology, Not Terminology. (shrink)

We study reals with infinitely many incompressible prefixes. Call $A \in 2^{\omega}$ Kolmogorot random if $(\exists^{\infty}n) C(A \upharpoonright n) \textgreater n - \mathcal{O}(1)$ , where C denotes plain Kolmogorov complexity. This property was suggested by Loveland and studied by $Martin-L\ddot{0}f$ , Schnorr and Solovay. We prove that 2-random reals are Kolmogorov random. Together with the converse-proved by Nies. Stephan and Terwijn [11]-this provides a natural characterization of 2-randomness in terms of plain complexity. We finish with a related characterization (...) of 2-randomness. (shrink)

In this book Larry Temkin examines the concepts of equality and inequality, and addresses one particular question in depth: how can we judge between different sorts of inequality? When is one inequality worse than another? Temkin shows that there are many different factors underlying and influencing our egalitarian judgments and that the notion of inequality is surprisingly complex. He looks at inequality as applied to individuals and to groups, and at the standard measures of inequality employed by economists and others, (...) and considers whether inequality matters more in a poor society than a rich one. The arguments of non-egalitarians are also examined. Temkin's book presents a new way of thinking about equality and inequality which challenges the assumptions of philosophers, welfare economists, and others concerned with these notions on a practical as well as a theoretical level. (shrink)

Abstract. In this article we developed scientific and applied foundations of commercialization of the nature-resource potential of anthropogenic objects, on the example of exhausted mines. It is determined that the category of “anthropogenic object” can be considered in a narrow-applied sense, as specific anthropogenic objects to ensure the target needs, and in a broad theoretical sense, meaning everything that is created and changed by human influence, that is the objects of both artificial and natural origin. It was determined that problems (...) of commercialization of the natural-resource potential of anthropogenic objects are most often considered by researchers for specific objects, without having complex methodological coverage from the point of view of combining environmental, technical, economic and managerial components. When studying the substantiation of the scientific base, the authors confirmed the feasibility of the commercialization of natural-resource potential of anthropogenic objects on the example of a number of theoretical scientific studies in reclamation, reconstruction, recreation, remediation, restoration of biological productivity and economic value of land disturbed by economic activity. The considered examples of exhausted mines in the 21st century in the USA, Canada, Germany, Romania, and Poland indicate a wide range of opportunities for their commercialization. The study of the potential for commercialization of exhausted mines in the post-Soviet countries testified to the underused reserves for the commercialization of their nature-resource potential and their high potential for further development. The authors proposed the identification of anthropogenic objects on the basic livelihood spheres of society. There were identified the main system (natural, biological, technical, economic, social, managerial) and structural (subjects, trends, threats, risks, problems, challenges) factors of diagnosing the state of an anthropogenic object. A set of measures has been developed for commercialization of an anthropogenic object in functional and production activities, product policy, financial and investment spheres, pricing and sales policies, promotion, management and determination of property rights. Recommendations were provided on optimizing the management decision-making process based on a set of positivistic development principles, methods, and management functions. The study allows international organizations, state and local authorities, territorial communities, owners and potential investors to see new opportunities and make mutually beneficial decisions on the rational use of the nature-resource potential of anthropogenic objects. (shrink)

The ongoing debate about a “replication crisis” has put scientific failure in the spotlight, not only in psychological research and the social sciences but also in the life sciences. However, despite this increased salience of failure in research, the concept itself has so far received little attention in the literature (for an exception, see Ref. 1). The lack of a systematic perspective on scientific failure—a daily experience for researchers—hampers our understanding of this complex phenomenon and the development of efficient policies (...) and measures to address it. Without a better grasp of the multiple dimensions of scientific failure, there is a risk that necessary measures will be neglected or that inadequate policies will be adopted because different kinds of failures require different responses. Developing a basic taxonomy of scientific failure will help to identify connections between different types of failures and benefit the formulation of policy measures for improving replicability. (shrink)

Background To describe the preferences for disclosure of individual biomarker results among mothers participating in a longitudinal birth cohort. Methods We surveyed 343 mothers that participated in the Health Outcomes and Measures of the Environment Study about their biomarker disclosure preferences. Participants were told that the study was measuring pesticide metabolites in their biological specimens, and that the health effects of these low levels of exposure are unknown. Participants were asked whether they wanted to receive their results and their child's (...) results. In addition, they were asked about their preferred method (letter vs in person) and format (more complex vs less complex) for disclosure of results. Results Almost all of the study participants wanted to receive their individual results (340/343) as well as their child's results (342/343). However, preferences for receiving results differed by education level. Mothers with less than a college degree preferred in-person disclosure of results more often than mothers with some college education or a college degree (34.3% vs 17.4% vs 7.9%, p<0.001). Similarly, mothers with less than a college education preferred a less complex disclosure format than mothers with some college education or a college degree (59.7% vs 79.1% vs 86.3%, p<0.0001). Conclusion While almost all study participants preferred to receive results of their individual biomarker tests, level of education was a key factor in predicting preferences for disclosure of biomarker results. To ensure effective communication of this information, disclosure of biomarker results should be tailored to the education level of the study participants. (shrink)

This paper argues that the notion of value has been overly simplified and narrowed to focus on economic returns. Stakeholder theory provides an appropriate lens for considering a more complex perspective of the value that stakeholders seek as well as new ways to measure it. We develop a four-factor perspective for defining value that includes, but extends beyond, the economic value stakeholders seek. To highlight its distinctiveness, we compare this perspective to three other popular performance perspectives. Recommendations are made (...) regarding performance measurement for both academic researchers and practitioners. The stakeholder perspective on value offered in this paper draws attention to those factors that are most closely associated with building more value for stakeholders, and in so doing, allows academics to better measure it and enhances managerial ability to create it. (shrink)

This study examined the relationship between individual differences in executive functions (EF; assessed by measures of working memory, Stroop, trail making, and verbal fluency) and ability to down-regulate and up-regulate responses to emotionally evocative film clips. To ensure a wide range of EF, 48 participants with diverse neurodegenerative disorders and 21 older neurologically normal ageing participants were included. Participants were exposed to three different movie clips that were designed to elicit a mix of disgust and amusement. While watching the films (...) they were either instructed to watch, down-regulate, and up-regulate their visible emotional responses. Heart rate and facial behaviours were monitored throughout. Emotion regulatory ability was operationalised as changes in heart rate and facial behaviour in the down- and up-regulation conditions, controlling for responses in the watch condition. Results indicated that higher verbal fluency scores were related to greater ability to regulate emotion in both the down-regulation and up-regulation conditions. This finding remained significant even after controlling for age and general cognitive functioning. No relationships were found between emotion regulation and the other EF measures. We believe these results derive from differences among EF measures, with verbal-fluency performance best capturing the complex sequence of controlled planning, activation, and monitoring required for successful emotion regulation. These findings contribute to our understanding of emotion–cognition interaction, suggesting a link between emotion-regulatory abilities and individual differences in complex executive functions. (shrink)

_Purpose._ The paper seeks to prove the thesis of the significance and importance of the theories and methodological approaches of historical anthropology, which are aimed at understanding the meanings, essence and value systems of human existence in the past for philosophical anthropology. The study of this problem is relevant for understanding the evolution of human identity with philosophical and anthropological concepts, understanding the essence of one’s own existence and attitude to the world. _Theoretical basis._ The author conducts research in the (...) analysis of the reflexive field of philosophical anthropology and related disciplines, in particular historical anthropology, implemented in the philosophical literature of recent centuries, that is, in the space of non-classical and modern philosophical thought. _Originality._ I raise and substantiate the theoretical question of the scientific significance of the analysis of human existence in the past thanks to the involvement of theoretical approaches and concepts formed in the reflexive field of modern historical and anthropological research. This forms the prerequisites for understanding complex and interdisciplinary explorations of the essence and cultural and spiritual values of human existence. I analyse the problems of the work in the context of the concept of the incompleteness of the project of philosophical anthropology without its involvement in the theoretical achievements of historical-anthropological investigations. _Conclusions._ In my opinion, modern historical and anthropological studies of the essence and meanings of being a person of the past form an extensive theoretical system. It is realized through such theoretical aspects of comprehension of human existence by historical and anthropological studies as "history of mentalities", "microhistory", "history of women", "new cultural history", "history of identity", "history of memory", history of mental aspects of political processes. Methodological approaches and concepts of modern historical anthropology form the basis of mental reconstruction and understanding of the mental and cultural causes and factors of human existence, thanks to the analysis of the evolution of the worldview, behaviour, outlook, various forms of individual and social activity of the individual. (shrink)

The state of national economies development varies and is characterized by many indicators. Economically developed countries are known as doubtless leaders that are in progress and form political stability, social and economics standards, scientific and technical progress and determine future priorities. It is worth mentioning that the progressive development of national economies in conditions of globalization can take place only in case of the increase of their intellectualization level, through saturation of people`s life, economic relations and production by brain activity, (...) knowledge, creativity, innovation, culture, ethical considering of the historical heritage. The main aim of the research is national economies intellectualization evaluating in globalization conditions. In order to gain this aim, the following tasks were defined: to identify existing indices of the national economies intellectualization level evaluation, develop the authors’ methodological approach to the national economies intellectualization level, determine the areas of measurement results application. While conducting the research, systematic approach, the methods of analysis, synthesis, grouping, abstracting, generalization, imaginary experiment and grounding were used. In the modern world, there are a large number of indicators which characterize differences in intellectual state of the national economy. When comparing the state of national economies intellectualization, the problems arise with different number of countries, duplication of indicators, disproportionate number of the components of indicators, various years of publication, etc. Therefore, to ensure comparability, we choose four general indicators – the index of human development, the global innovation index, the global competitiveness index and the knowledge economy index. Using these indices, we do the research and determine the state of national economies intellectualization in the world economy. According to the calculated results, as of 2013, we have divided 190 national economies by level of intellectualization into five groups: countries with the highest (30 countries), high (30 (countries), low (30 countries), the lowest (35 countries) and the countries with uncertain state of intellectualization (65 countries). The leaders in the state of intellectualization are Switzerland, Sweden, The Netherlands, Finland and the USA. The countries with the highest level of intellectualization serve as an example to all other countries of the world. These countries are characterized by developed market economy; a dominant position in the international economy, which allows actively engaging own and imported resources in the economic turnover; the shift of the center of gravity of economic activity into the services sector and the dominance of service economy; the greatest exhaustion of sources and factors of industrial development; advanced post-industrial development. The economic policy of the first group of countries has a decisive influence on the state and dynamics of the global economy, defining the main directions of its scientific and technological development and structural adjustment. The average index of the national economy intellectualization (AINEI), calculated by the authors, shows the place of each country in the world community as to their intellectual capital. Considering the continued deployment of R&D progress, the growing role of high-tech production and the complexity of social and economic relations, AINEI can serve as a reliable indicator of the macroeconomic environment intellectualization state. Therefore, the following organizations, bodies and individuals can use the comparative results of this study: the international organizations while developing international economic development programs; the state authorities of the countries in foreign and domestic policy forming; companies that create innovative and investment policy; migrants, tourists and persons who perform professional and transit activity for the formation of human potential and capital; scientists and teachers who develop mechanisms of intellectualization. (shrink)

The Global Burden of Disease Study is one of the largest-scale research collaborations in global health, producing critical data for researchers, policy-makers, and health workers about more than 350 diseases, injuries, and risk factors. Such an undertaking is, of course, extremely complex from an empirical perspective. But it also raises complex ethical and philosophical questions. In this volume, a group of leading philosophers, economists, epidemiologists, and policy scholars identify and discuss these philosophical questions. Better appreciating the philosophical dimensions of a (...) study like the GBD can make possible a more sophisticated interpretation of its results, and it can improve epidemiological studies in the future, so that they are better suited to produce results that help us to improve global health. (shrink)

Briefly sketches a standard form of the development of analysis within the Constructibility Theory. Then develops an axiomatized theory of lengths, in terms of which a system of rational and real numbers is specified. These developments are used to provide the basis for a theory of functions of real and complex variables.

Propositional attitude verbs, such as think and want, have long held interest for both theoretical linguists and language acquisitionists because their syntactic, semantic, and pragmatic properties display complex interactions that have proven difficult to fully capture from either perspective. This paper explores the granularity with which these verbs’ semantic and pragmatic properties are recoverable from their syntactic distributions, using three behavioral experiments aimed at explicitly quantifying the relationship between these two sets of properties. Experiment 1 gathers a measure of (...) 30 propositional attitude verbs’ syntactic distributions using an acceptability judgment task. Experiments 2a and 2b gather measures of semantic similarity between those same verbs using a generalized semantic discrimination task and an ordinal scale task, respectively. Two kinds of analyses are conducted on the data from these experiments. The first compares both the acceptability judgments and the semantic similarity judgments to previous classifications derived from the syntax and semantics literature. The second kind compares the acceptability judgments to the semantic similarity judgments directly. Through these comparisons, we show that there is quite fine-grained information about propositional attitude verbs’ semantics carried in their syntactic distributions—whether one considers the sorts of discrete qualitative classifications that linguists traditionally work with or the sorts of continuous quantitative classifications that can be derived experimentally. (shrink)

Inflectional morphology has been taken as a paradigmatic example of rule-governed grammatical knowledge (Pinker, 1999). The plausibility of this claim may be related to the fact that it is mainly based on studies of English, which has a very simple inflectional system. We examined the representation of inflectional morphology in Serbian, which encodes number, gender, and case for nouns. Linguists standardly characterize this system as a complex set of rules, with disagreements about their exact form. We present analyses of a (...) large corpus of nouns which showed that, as in English, Serbian inflectional morphology is quasiregular: It exhibits numerous partial regularities creating neighborhoods that vary in size and consistency. We then asked whether a simple connectionist network could encode this statistical information in a manner that also supported generalization. A network trained on 3,244 Serbian nouns learned to produce correctly inflected phonological forms from a specification of a word's lemma, gender, number, and case, and generalized to untrained cases. The model's performance was sensitive to variables that also influence human performance, including surface and lemma frequency. It was also influenced by inflectional neighborhood size, a novel measure of the consistency of meaning to form mapping. A word-naming experiment with native Serbian speakers showed that this measure also affects human performance. The results suggest that, as in English, generating correctly inflected forms involves satisfying a small number of simultaneous probabilistic constraints relating form and meaning. Thus, common computational mechanisms may govern the representation and use of inflectional information across typologically diverse languages. (shrink)

We have considered a simple word game called the word-morph. After making our participants play a stipulated number of word-morph games, we have analyzed the experimental data. We have given a detailed analysis of the learning involved in solving this word game. We propose that people are inclined to learn landmarks when they are asked to navigate from a source to a destination. We note that these landmarks are nodes that have high closeness-centrality ranking.

We show that the Turing degrees are not sufficient to measure the complexity of continuous functions on [0, 1]. Computability of continuous real functions is a standard notion from computable analysis. However, no satisfactory theory of degrees of continuous functions exists. We introduce the continuous degrees and prove that they are a proper extension of the Turing degrees and a proper substructure of the enumeration degrees. Call continuous degrees which are not Turing degrees non-total. Several fundamental results are (...) proved: a continuous function with non-total degree has no least degree representation, settling a question asked by Pour-El and Lempp; every non-computable f $\epsilon \mathcal{C}[0, 1]$ computes a non-computable subset of $\mathbb{N}$ ; there is a non-total degree between Turing degrees $a _\eqslantless_{\tau}$ b iff b is a PA degree relative to a; $\mathcal{S} \subseteq 2^{\mathbb{N}}$ is a Scott set iff it is the collection of f-computable subsets of $\mathbb{N}$ for some f $\epsilon \mathcal{C}[O, 1]$ of non-total degree; and there are computably incomparable f, g $\epsilon \mathcal{C}[0, 1]$ which compute exactly the same subsets of $\mathbb{N}$ . Proofs draw from classical analysis and constructive analysis as well as from computability theory. (shrink)

We call A weakly low for K if there is a c such that $K^A(\sigma)\geq K(\sigma)-c$ for infinitely many σ; in other words, there are infinitely many strings that A does not help compress. We prove that A is weakly low for K if and only if Chaitin's Ω is A-random. This has consequences in the K-degrees and the low for K (i.e., low for random) degrees. Furthermore, we prove that the initial segment prefix-free complexity of 2-random reals is (...) infinitely often maximal. This had previously been proved for plain Kolmogorov complexity. (shrink)

Smullyan in [Smu61] identified the recursion theoretic essence of incompleteness results such as Gödel's first incompleteness theorem and Rosser's theorem. Smullyan showed that, for sufficiently complex theories, the collection of provable formulae and the collection of refutable formulae are effectively inseparable—where formulae and their Gödel numbers are identified. This paper gives a similar treatment for proof speed-up. We say that a formal system S1is speedable over another system S0on a set of formulaeAiff, for each recursive functionh, there is a formulaαinAsuch (...) that the length of the shortest proof ofαin S0is larger thanhof the shortest proof ofαin S1. We characterize speedability in terms of the inseparability by r.e. sets of the collection of formulae which are provable in S1but unprovable in S0from the collectionA–where again formulae and their Gödel numbers are identified. We provide precise definitions of proof length, speedability and r.e. inseparability below.We follow the terminology and notation of [Rog87] with borrowings from [Soa87]. Below,ϕis an acceptable numbering of the partial recursive functions [Rog87] andΦa complexity measure associated withϕ[Blu67], [DW83]. (shrink)

Using the theory of Borel equivalence relations we analyze the isomorphism relation on the countable models of a theory and develop a framework for measuring the complexity of possible complete invariants for isomorphism.

The literature on the relationship between religion and belief in the paranormal is complex and sometimes seemingly contradictory. However, previous research suggests that this relationship depends on the religious characteristics of the sample and the measures of religion. Research also suggests that science knowledge is unrelated to paranormal beliefs, but critical thinking is at odds with paranormal beliefs. Psychology college students and conservative Christians answered questions about paranormal beliefs, religious beliefs, Bible knowledge, science knowledge, and evidence-based thinking. Conservative Christians displayed (...) the lowest belief in the paranormal. Religious beliefs and paranormal beliefs were unrelated, but attendance at services was negatively related to paranormal beliefs. Evidence-based thinking was also negatively related to paranormal beliefs. (shrink)

_Purpose._ This article aims at outlining the consider Ukrainian identity in the context of European collective action through the prism of value orientations/approaches. _Theoretical basis._ The following methods were used in order to cover the problem as objectively as possible: historical, analytical, comparative, socio-geographical, behavioral, and dialectical. The use of these methods contributed to tracing the peculiarities of identity and collective action in the dynamics of the historical process and social development. _Originality._ The role of identity in collective action formation (...) is considered. It was established that identity determines the socio-species structure and projects social development. After all, identification for a person in the formation process is a basic need that determines a person’s belonging, not identity. During the formation of "I" there is a combination of "I1" + "I2" + "Other" = "WE". This process is complex and long-term, but it is precisely the process that gives you the opportunity to clearly understand your "I" and know yourself. It was found that identity as a social phenomenon, which is related to the formation of the "I", is determined by certain circumstances, which can be conditionally divided into objective and subjective. After analyzing the scientific literature, a generalization was made that identity is not a new phenomenon, but it has certain features at each stage of social development. This became most noticeable in the conditions of globalization, when countries that are actually different perceive the "Other", unite around certain problems, and then this union forms a system of mutual relations. It is thanks to this approach that alliances, multicultural associations, etc. are formed, and an example of this is the heterogeneous European identity. Special attention is drawn to the role of values, which are the landmarks in the process of identity and the formation of collective action. Based on political, social, economic, historical processes and ontological features, it was established that identity is a dynamic process, since values during a person’s life, the existence of the state, etc. are variables. This is confirmed by the value orientation and various socio-political processes aimed at the formation of Homo in countries that have the status of "between". _Conclusions._ The article illustrates and justifies the existence of several forms of identity according to which the types of identity are formed. The fact proves that identity is not a constant process and varies due to multiple factors: social, political, economic, and religious as well as due to formations – regional, local, civilizational, etc. As practice shows, the problem of identity mostly has situational nature and arises due to the need for unification. The socio-historical process manifests the significance of the values in the formation of a collective European heterogeneous identity. These processes are influenced by many factors: geographical, historical, mythological, etc. (shrink)

We give two new characterizations of K-triviality. We show that if for all Y such that Ω is Y-random, Ω is -random, then A is K-trivial. The other direction was proved by Stephan and Yu, giving us the first titular characterization of K-triviality and answering a question of Yu. We also prove that if A is K-trivial, then for all Y such that Ω is Y-random, ≡LRY. This answers a question of Merkle and Yu. The other direction is immediate, so (...) we have the second characterization of K-triviality.The proof of the first characterization uses a new cupping result. We prove that if A≰LRB, then for every set X there is a B-random set Y such that X is computable from Y⊕A. (shrink)

It is the author's contention that individual self-improvement is the sole end of human life. A sufficient number of the sensate goods of life must be fully available to the individual through his own efforts, always presupposing, however, a certain stimulus in providing the grounds for attaining these goods. The individual, as individual, must provide himself with a sufficient amount of rest and play for his own health's sake. The culture must be made to provide opportunities of subsistence work for (...) all. In a good society, Adler believes, it is possible for all of its members to realize the good life. A cultural revolution is the only revolution called for in the United States. As an advanced technological society, the United States has the potential and the obligation to provide a living wage for all of its people. Indeed, America has moved a long way toward meeting this responsibility. Never at any time in the past have so many people been provided with the basic means to sustain a decent livelihood. Despite the potentialities present for the making of a good life, the prevailing educational system seems to Adler more suited to the education of a slave class. Our institutions of learning in large measure seem to exist as commissaries available to every conceivable technological purpose, whose ultimate usage is support for the military industrial complex. It is here, in the educational system, much more than in any other area, that reform and even revolution is imperative.--H. S. (shrink)

The structure of covariant observables—normalized positive operator measures (POMs)—is studied in the case of a type I symmetry group. Such measures are completely determined by kernels which are measurable fields of positive semidefinite sesquilinear forms. We produce the minimal Kolmogorov decompositions for the kernels and determine those which correspond to the extreme covariant observables. Illustrative examples of the extremals in the case of the Abelian symmetry group are given.

The material in "TCU," as we've come to refer to this volume, began as a Master's Thesis that examined the manner in which knowledge of fairly complex, patterned material could be acquired without any conscious effort to learn it and with little to no awareness of what had been learned. It was dubbed implicit learning and, over a fifty-plus year span, became a vigorously researched area in the social sciences. TCU brings together several dozen scientists from a variety of backgrounds (...) and presents a broad (and deep) overview of how the exploration of the cognitive unconscious grew from that first study to a domain of research to which contributions have been made by sociologists, neuroscientists, evolutionary biologists, modelers, social and organizational psychologists, sport psychologists, primatologists, developmentalists, linguists, psychiatrists and psychotherapists, and measurement and assessment researchers. The core message seems fairly straightforward. Unconscious, implicit cognitive processes play a role in virtually everything interesting that human beings do. The implicit and explicit elements of cognition form a rich and complex interactive framework that make up who we are. The volume has contributions from over 30 distinguished authors from nine different countries and gives a balanced and thorough overview of where the field is today, a bit over a half-century since the first experiments were run. (shrink)

_Purpose._ This article discusses researching the nature and basic structure of acts of empathy. Such research first requires answering the question: are empathic acts intentional acts of our consciousness? If the answer to this question is affirmative, then there is a need to answer the following questions: what are the features of acts of empathy as intentional ones? And can such acts be qualified as opening a special and complex type of access (epistemic, social, and ethical) to "other minds"? _Theoretical (...) basis._ The research is based on the problems set by the phenomenological tradition and the developed analytical philosophy, which found their continuation in the philosophy of mind. With the tendency to naturalization, representatives of these areas have another common sphere in the research of mental reality. The changes that both traditions are undergoing can be observed in the transformation of fundamental theoretical concepts such as "intentionality". The linguistic turn gives impetus to the development of new theoretical approaches to the understanding of consciousness, which give preference to the research of language rather than the research in the structure of the Self. The change in methodological guidelines is due to a few factors. In particular, this is a noticeable progress in empirical sciences and the dominance of Behaviorism guidelines in psychology, as well as the fact that the Anglo-American tradition inherits several features intrinsic to British empiricism. Today, three main directions of understanding intentionality can be distinguished. Starting from Brentano and Husserl, we have a classical theory – mental intentionality (phenomenological). As part of analytical philosophy and philosophy of language, we can talk about linguistically interpreted intentionality. Sellars’ model of intentionality has a definite linguistic component. Also, a modern version that functions in the philosophy of consciousness: attempts to naturalize intentionality (this is, for example, the research of Galen Strawson and Daniel Dennett). _Originality._ The problem is studied not in the context of the phenomenological or analytical traditions in their isolation, but in a problematic-conceptual way, which allows us to reach a new level of generalization and reveal the theoretical advantages of combining both traditions. _Conclusions._ Empathic Acts can be defined as intentional within the classical phenomenological tradition. As intentional acts, they have their specificity in that they are directed to the "other mind" and can form the basis for the research of intersubjectivity. For the analytic tradition and early philosophy of consciousness, such statements are not obvious. However, discussions about the role of corporality and the problem concerning embodied cognition are becoming increasingly common today. In such discussions, empathy, as an element in the knowledge of others and a possibility for grounding the social sciences, seems more promising than attempts to make epistemic access to other minds possible on the basis of the argument by analogy or on the basis of the inference to the best explanation. (shrink)

Hegel’s definition of the state as a common public authority in The German Constitution marks his first thorough attempt to understand the authority of the modern state in terms of the rule of law. Such an understanding of the state constitutes an important advance in Hegel’s political philosophy since, in his early political-theological writings, the legal relation was in essence excluded from the political sphere. Positing a fundamental opposition between legality and authentic ethical life, Hegel interpreted societies in which legal (...) forms become particularly pronounced as societies founded on degenerate political institutions and caught up in an inexorable process of decline. Until Hegel grasped the positive ethical significance of legal authority, something accomplished in The German Constitution, his theory of the state remained largely determined by a Greek-inspired, virtue-based paradigm of political life. Only with the overcoming of this paradigm could he move to a comprehensive analysis of both modern institutional structures and the political theories that attempt to understand and justify them. Hegel’s evolving theory of modern legal form thus provides an important index and measure of his complex stance toward modern political society and of his critical assessment of the self-interpretations of modernity offered by the natural right tradition and the Enlightenment. (shrink)

If we may rely for our evidence on simple observation, it would appear that the tendency of random or unguided activity in external nature is opposed to the development of complex organization and favorable to structural simplicity—in the sense of uniformity in the distribution of elements. This anti-organizing trend of purely physical processes is illustrated in ordinary large-scale mixing and stirring operations, as well as in the automatic increase of entropy with time in systems subject to the laws of thermodynamics. (...) It is common experience that complex systems which are the seat of physical activity tend to become simpler when left to themselves, i.e., they lose organization. Recently Eddington has given the whole matter an admirably clear expression: “Entropy may most conveniently be described as the measure of disorganization of a system.... We can see chance creeping in where formerly it was excluded.” Unless counteracted by directive action the casual or random element in nature tends to increase. If things are left to chance, not only does organization of any high degree of complexity fail to develop, but what organization there is tends to lapse or disappear. Hence in those cases, such as living organisms, where the existence and activity of the system depend on a special and complex organization, it appears necessary to assume the continued operation of a stable directive influence or factor which pervades the whole system and excludes or compensates casual factors as far as possible. The presence of this factor is what makes possible the development and maintenance of the organization required for vital activity. (shrink)

§1. I will start with a quick definition of descriptive set theory: It is the study of the structure of definable sets and functions in separable completely metrizable spaces. Such spaces are usually called Polish spaces. Typical examples are ℝn, ℂn, Hilbert space and more generally all separable Banach spaces, the Cantor space 2ℕ, the Baire space ℕℕ, the infinite symmetric group S∞, the unitary group, the group of measure preserving transformations of the unit interval, etc.In this theory sets (...) are classified in hierarchies according to the complexity of their definitions and the structure of sets in each level of these hierarchies is systematically analyzed. In the beginning we have the Borel sets in Polish spaces, obtained by starting with the open sets and closing under the operations of complementation and countable unions, and the corresponding Borel hierarchy. After this come the projective sets, obtained by starting with the Borel sets and closing under the operations of complementation and projection, and the corresponding projective hierarchy.There are also transfinite extensions of the projective hierarchy and even much more complex definable sets studied in descriptive set theory, but I will restrict myself here to Borel and projective sets, in fact just those at the first level of the projective hierarchy, i.e., the Borel (), analytic () and coanalytic () sets. (shrink)

Radiography images are widely utilized in the health sector to recognize the patient health condition. The noise and irrelevant region information minimize the entire disease detection accuracy and computation complexity. Therefore, in this study, statistical Kolmogorov–Smirnov test has been integrated with wavelet transform to overcome the de-noising issues. Then the cat swarm-optimized deep belief network is applied to extract the features from the affected region. The optimized deep learning model reduces the feature training cost and time and improves the (...) overall disease detection accuracy. The network learning process is enhanced according to the AdaDelta learning process, which replaces the learning parameter with a delta value. This process minimizes the error rate while recognizing the disease. The efficiency of the system evaluated using image retrieval in medical application dataset. This process helps to determine the various diseases such as breast, lung, and pediatric studies. (shrink)

The literature on the relationship between religion and belief in the paranormal is complex and sometimes seemingly contradictory. However, previous research suggests that this relationship depends on the religious characteristics of the sample and the measures of religion. Research also suggests that science knowledge is unrelated to paranormal beliefs, but critical thinking is at odds with paranormal beliefs. Psychology college students and conservative Christians answered questions about paranormal beliefs, religious beliefs, Bible knowledge, science knowledge, and evidence-based thinking. Conservative Christians displayed (...) the lowest belief in the paranormal. Religious beliefs and paranormal beliefs were unrelated, but attendance at services was negatively related to paranormal beliefs. Evidence-based thinking was also negatively related to paranormal beliefs. (shrink)

Extropy, as a complementary dual of entropy, has been discussed in many works of literature, where it is declared for other measures as an extension of extropy. In this article, we obtain the extropy of generalized order statistics via its dual and give some examples from well-known distributions. Furthermore, we study the residual and past extropy for such models. On the other hand, based on Farlie–Gumbel–Morgenstern distribution, we consider the residual extropy of concomitants of m-generalized order statistics and present this (...) measure with some additional features. In addition, we provide the upper bound and stochastic orders of it. Finally, nonparametric estimation of the residual extropy of concomitants of m-generalized order statistics is included using simulated and real data connected with COVID-19 virus. (shrink)

Lower plasma levels of high-density lipoproteins in adolescents with type 2 diabetes have been associated with a higher pulse wave velocity, a marker of arterial stiffness. Evidence suggests that HDL proteins or particle subspecies are altered in T2D and these may drive these relationships. In this work, we set out to reveal any specific proteins and subspecies that are related to arterial stiffness in youth with T2D from proteomics data. Plasma and PWV measurements were previously acquired from lean and T2D (...) adolescents. Each plasma sample was separated into 18 fractions and evaluated by mass spectrometry. Then, we applied a validated network-based computational approach to reveal HDL subspecies associated with PWV. Among 68 detected phospholipid-associated proteins, we found that seven were negatively correlated with PWV, indicating that they may be atheroprotective. Conversely, nine proteins show positive correlation with PWV, suggesting that they may be related to arterial stiffness. Intriguingly, our results demonstrate that apoA-I and histidine-rich glycoprotein may reverse their protective roles and become antagonistic in the setting of T2D. Furthermore, we revealed two arterial stiffness-associated HDL subspecies, each of which contains multiple PWV-related proteins. Correlation and disease association analyses suggest that these HDL subspecies might link T2D to its cardiovascular-related complications. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Kennedy Institute of Ethics Journal 11.3 (2001) 219-220 [Access article in PDF] Introduction In the last couple of decades,commodification has become almost a buzz-word in bioethics. As we become technically more adept at detaching elements of human bodies and making use of them for others, it seems as if more and more things-from motherhood to gametes to kidneys to our very DNA-can be borrowed, rented, bought, and sold. Other (...) technology allows us unprecedented influence over the characteristics of our offspring (unprecedented, that is, if we ignore the many cultures in which children were and are routinely discarded because they are the wrong sex, disabled, or the product of multiple births). It is common, for example, for writers to worry that the availability of pre-implantation genetic diagnosis will seduce parents into thinking of their children as commodities, to be ordered in much the same way as automobiles, with the inevitable concomitant that they will want to "return" children who do not measure up to their specifications.Unfortunately, a great deal of the talk about "commodification" has been clumsy and sloppy. The term has been used as a magic bullet, as if saying "But that's commodification!" is the same as having made an argument. In fact, commodification of human persons, human bodies, human labor, human relationships, is a complex matter. In many human dealings, commodified and noncommodified understandings of the same thing, or the same transaction, exist more or less comfortably together. Most Westerners condemn commercial sex, for example, while at the same time knowing that in most times and places in the world, marriage was and is thought of as primarily an economic relationship. The common use of "cheap" in post-World War II American slang to describe a teenage woman who is more sexually available than her peers perfectly captures the market rhetoric inherent in respectable American sexual mores.Given this complexity, it is not surprising that many writers in bioethics have gravitated to the work of Margaret Jane Radin. In her two books, Contested Commodities (Harvard University Press, 1996) and Reinterpreting Property (University of Chicago Press, 1993), and many articles, [End Page 219] Radin has taken on the problem of commodification without falling into either sentimentality or cynicism. She is a careful thinker and a careful (and demanding!) writer. We have long valued her work as we have sought to grapple with the many ways in which the problem of commodification arises in bioethics. In this issue of the Kennedy Institute of Ethics Journal, entitled "Who's Afraid of Commodification?," we have asked three colleagues to join us in reflecting on aspects of the problem of commodification in bioethics. We are especially delighted that Radin agreed to respond to our efforts in this direction.Lisa Sowle Cahill takes the discussion of commodification to a new level, as she focuses on global ethics, especially genetic research and the marketing and accessibility of pharmaceuticals. Dena S. Davis explores the debates over refusal of treatment and rational suicide and concludes that to put a value on particular pieces of one's lifespan does not necessarily lead to negative aspects of commodification. Ronald M. Green analyzes Radin's use of Kant. Suzanne Holland addresses commodification of body parts, from gametes to cadaveric tissue, and concludes with some specific recommendations. Thomas A. Shannon takes a fresh look at the problem of whether we should allow the sale of organs; he shares with Holland a special concern for the rhetoric of commodification. Finally, Margaret Jane Radin responds to the preceding essays, asking four "stubbornly difficult" questions, questions that show that the debate about commodification is only just begun. Dena S. Davis and Suzanne Holland... (shrink)

A physical mechanical sequence is proposed representing measurement interactions ‘hidden' within QM's proverbial ‘black box'. Our ‘beam splitter' pairs share a polar angle, but head in opposite directions, so ‘led' by opposite hemisphere rotations. For orbital ‘ellipticity', we use the inverse value momentum ‘pairs' of Maxwell's ‘linear' and ‘curl' momenta, seen as vectors on the Poincare spherical surface. Values change inversely from 0 to 1 over 90 degrees, then ± inverts.. Detector polarising screens consist of electrons with the same vector (...) distributions, but polar angles set independently by A & B. The absorption/re-emission interaction process is modelled as surface vector additions at the angle of polar latitude of each interaction. This ‘collapse' of characteristic ‘wave values' is really then simply ‘re-polarisation', with new ellipticity. We then obtain the relation Cosθ at polarisers. We may simplify this to new ellipses with major/minor axis values. Considering as spherical orbital angular momentum rotation we invoke the unique quality of spheres to rotate concurrently on three axes! Rotating on y or z axes concurrent with x axis spin can return surface points to starting positions with non-integer x axis rotations, from half to infinity!. Second interactions at photomultiplier/ analysers are identical but at two orthogonal ‘channels'. Vector addition interactions at BOTH channel orientations normally produce a vector value of adequate amplitude to give a *click* from the MAJOR axis direction. At the ‘crossover' points at near circular polarity the orthogonal ‘certainty' is ~ 50:50, so both or neither channels may produce a ‘click'. The apparently unphysical but proved ‘Malus' law' relation; Cos2θ emerges physically from the 2nd set of interactions. The main departure from QM's assumptions are; That the original pair members each actually possessed two inverse momenta sets; ‘curl' and ‘linear'. Also that complex ‘vector additions' of those pairs occurs. Vector quantities allow A & B to reverse their OWN finding by reversing dial setting, reproducing experimental outputs without problematic ‘non-locality'. (shrink)

Subrecursive hierarchy classifications are used to compare the complexities of recursive functions according to their derivations in a version of Kleene's equation calculus, and their computations by term-rewriting. In each case ordinal bounds are assigned, and it turns out that the respective complexity measures are given by a version of the Fast Growing Hierarchy, and the Slow Growing Hierarchy. Known comparisons between the two hierarchies then provide ordinal trade-offs between derivation and computation. Characteristics of some well-known subrecursive classes are (...) also read off. (shrink)

In today's complex business world, the question of business ethics is increasingly gaining importance as managers and employees face numerous ethical dilemmas in their jobs. The ethical climate in the Turkish business environment is also at a critical stage, and the business community as a whole is troubled by ethical problems. This study attempts to determine the effect of individual, managerial and organizational factors on the ethical judgments of Turkish managers, and to evaluate the ethical perceptions of these managers. The (...) findings of this study reveal that the ethics score, the measure of ethical judgment, of Turkish managers differs significantly only with respect to gender and that female managers have higher ethics score than male managers. Other individual, managerial and organizational factors considered in this study do not have any significant effect on the ethical judgments of the managers. A comparative analysis between female and male managers in terms of their ranking of the eleven ethical business scenarios, ranking of the sixteen unethical acts, ranking of the factors influencing managers to engage in unethical practices, and ranking of the various parties to whom a company is socially responsible enables the researchers to enlighten the subject of business ethics in Turkey. (shrink)

Cognition is context-sensitive, as the same sensory information is processed differently depending on its context (e.g., on its probabilistic association with goal-directed actions and their outcomes). Despite this, the concept of context in studies of higher-order cognitive processes, like cognitive control, is often simplified to nominal stimulus categories (like a target vs. distractor). Here we propose that quantifying contextual information to model cognitive demands is (1) fruitful as it can provide novel insight into the nature of cognitive control, (2) accessible (...) as simple probability models offer a tool for quantifying context and (3) analytically useful as a fine-grained quantification of context can be entered into more complex models as regressors that allow a direct way of appropriately exploring many of the defining tenants of cognitive control (e.g., rapidly changing trial-by-trial neural dynamics). Here, we briefly describe the logic of using context-sensitive measures of cognitive control and highlight recent studies from this approach using simple information theory metrics. (shrink)

This research investigates how top management team national diversity (TMTND) and corporate social responsibility (CSR) institutional uncertainty affect strategic CSR focus in foreign-owned subsidiaries. The paper develops a theoretical framework based on institutional theory and upper echelon perspectives to test a sample of MNE subsidiaries. Survey data were collected from subsidiaries in Thailand and Taiwan. Non-symmetric analysis suggests that while TMTND plays an important role in establishing a CSR focus, it is not conducive in itself to high-performance outcomes. Performance is (...) measured by market share, sales growth, and profitability for each subsidiary. The results also show that there are notable differences between the subsidiaries located in Thailand and Taiwan as to what extent CSR strategic focus and top management team national diversity are relevant for high-performance outcomes. The study demonstrates that the links between CSR, TMTND, and subsidiary performance are much more complex than previously assumed. (shrink)

The concept of reflection has many complex aspects; it is by no means something that is self-evident in nature. The object of this article is to examine that which is specific to reflection, its fundamental aspects and characteristics, and to demonstrate, in the spectrum of these characteristics, the place of the special mathematical concept of information, which corresponds to the quantitative measure of information in the statistical theory of information . But the word "information" is employed in two other (...) senses as well. In works on the theory of automatic regulation and control one often finds the terms "ordering," "organization," and "structure" employed as a synonym for it. Finally, in scientific usage the word "information" is often employed in place of the terms "model," "image," "knowledge," and "data." Therefore, in our further presentation we shall employ, each in its place, three meanings of this word: "the mathematical concept of information," "information," and "information in the ordinary meaning of the word.". (shrink)

Psychopathy refers to a range of complex behaviors and personality traits, including callousness and antisocial behavior, typically studied in criminal populations. Recent studies have used self-reports to examine psychopathic traits among noncriminal samples. The goal of the current study was to examine the underlying factor structure of the Self-Report of Psychopathy Scale–Short Form (SRP-SF) across complementary samples and examine the impact of gender on factor structure. We examined the structure of the SRP-SF among 2,554 young adults from three undergraduate samples (...) and a high-risk young adult sample. Using confirmatory factor analysis, a four-correlated factor model and a four-bifactor model showed good fit to the data. Evidence of weak invariance was found for both models across gender. These findings highlight that the SRP-SF is a useful measure of low-level psychopathic traits in noncriminal samples, although the underlying factor structure may not fully translate across men and women. (shrink)

In the last years of its history, the Ukrainian ethnic group faced numerous external and internal challenges, which, to a large extent, were the result of its previous genesis and profound transformations in public consciousness. At the same time, one of the central stereotypes of the domestic political and legal mentality is the idea of truth and justice as a basic social ideal and the basis of the legal order. Analysis of research and publications. The problem of mentality and the (...) formation of behavioral stereotypes has been of interest to domestic and foreign scientists for a long time. The concept of «mentality» is most widespread in the writings of the French historical school «Annals». The scientific work of M. Blok, F. Braudel, M. Vovel, J. Le Hoff, J. Lefebvre, L. Fevre, R. Mandr and other scientists reveals the content of mentality and its structures, as well as the peculiarities of their influence on everyday life and activities of individuals who lived in different historical eras. The purpose and objectives of the article. In this article, the authors aim to analyze the idea of truth-justice as a tool for transforming the legal mentality of the Ukrainian ethnic group and to show its influence on the content of its behavioral stereotypes. Research methodology. The methodology of this research has a complex nature and is based on a socio-philosophical and philosophical-legal analysis of the behavioral guidelines of Ukrainians in the field of legal understanding. The results. The social ideology, developed on the basis of ancient social ideas and stereotypes of the national legal mentality, should become a tool for correcting such destructive phenomena in the state-building discourse as legal nihilism, anarchism, civic passivity, corruption, nepotism, etc. At the same time, the concepts of truth-justice, will-freedom and fraternity-equality are key in Ukrainian legal culture. Discussion. The interpretation of this idea in scientific opinion is not unambiguous. This idea clearly manifests itself in the context of the opposition between Truth and Evil in the national culture. Truth is inseparable from human existence and daily activities. The idea of truth is closely related to the idea of justice, which, according to many researchers, is a later, more rational and clearly defined phenomenon derived from truth. Justice as a socio-philosophical phenomenon is intended to act as a kind of moral measure of relations between individuals in society. It is considered as an authoritative criterion for establishing the correspondence between the nature of human activity and its assessment by the social community. Conclusions. Destructive behavioral stereotypes of the Ukrainian ethnic group that were formed, among other things, under the influence of factors of stressogenesis can be corrected with the help of the legal ideology of state building, which should be based on the content of the idea of truth and justice. The developed ideology should be based on the most stable constructive guidelines of the national legal mentality, organically complementing and ideologically justifying them. (shrink)

This article investigates the potential of fMRI to test assumptions about different components in models of complex cognitive tasks. If the components of a model can be associated with specific brain regions, one can make predictions for the temporal course of the BOLD response in these regions. An event‐locked procedure is described for dealing with temporal variability and bringing model runs and individual data trials into alignment. Statistical methods for testing the model are described that deal with the scan‐to‐scan correlations (...) in the errors of measurement of the BOLD signal. This approach is illustrated using a “sacrificial” ACT‐R model that involves mapping 6 modules onto 6 brain regions in an experiment from Ravizza, Anderson, and Carter (in press) concerned with equation solving. The model's visual encoding predicted the BOLD response in the fusiform gyrus, its controlled retrieval predicted the BOLD response in the lateral inferior prefrontal cortex, and its subgoal setting predicted the BOLD response in the anterior cingulate cortex. On the other hand, its motor programming failed to predict anticipatory activation in the motor cortex, its representational changes failed to predicted the pattern of activity in the posterior parietal cortex, and its procedural component failed to predict an initial spike in caudate. The results illustrate the power of such data to direct the development of a theory of complex problem solving, both at the level of a specific task model as well as at the level of the cognitive architecture. (shrink)