A computational theory of consciousness should include a quantitative measure of consciousness, or MoC, that (i) would reveal to what extent a given system is conscious, (ii) would make it possible to compare not only different systems, but also the same system at different times, and (iii) would be graded, because so is consciousness. However, unless its design is properly constrained, such an MoC gives rise to what we call the boundary problem: an MoC that labels a system as conscious (...) will do so for some – perhaps most – of its subsystems, as well as for irrelevantly extended systems (e.g., the original system augmented with physical appendages that contribute nothing to the properties supposedly supporting consciousness), and for aggregates of individually conscious systems (e.g., groups of people). This problem suggests that the properties that are being measured are epiphenomenal to consciousness, or else it implies a bizarre proliferation of minds. We propose that a solution to the boundary problem can be found by identifying properties that are intrinsic or systemic: properties that clearly differentiate between systems whose existence is a matter of fact, as opposed to those whose existence is a matter of interpretation (in the eye of the beholder). We argue that if a putative MoC can be shown to be systemic, this ipso facto resolves any associated boundary issues. As test cases, we analyze two recent theories of consciousness in light of our definitions: the Integrated Information Theory and the Geometric Theory of consciousness. (shrink)

The following article was written to honour Johan Buitendag’s contribution to the discipline of eco-theology. Assuming an interdisciplinary stance, eco-theology in general and his work, in particular, is observed from the position of legal theory and sociology. As such, eco-theology is not assessed on theological grounds but is treated interdisciplinary through comparison with environmental law. More specifically, the project of eco-theology is shown to share certain characteristics with the nascent subdiscipline of Earth systems law within environmental law. It is argued (...) that one of the most important of these is the use of norms as an ecological strategy. This is understandable as both the religious and legal systems rely on the norm form to a lesser or greater extent. However, in the legal sociology of systems theory, the shortcomings of norms have been eloquently argued. This article thus posits the limits of norms to eco-theology and Earth systems law as a challenge deserving attention. However, social systems theory has its shortcomings, and a preliminary line of flight away from this challenge is suggested in the shape of Agamben’s description of the monastic form-of-life, where life and norm overlap so intensely that suggestions of a new worldview gain plausibility. (shrink)

In this paper I investigate where the boundaries of conscious mental life lie in Cavendish’s theory, and why. Cavendish argues for a wholly material yet wholly thinking universe. She claims that all matter is capable of “self-knowledge” and “perception” (OEP, p. 138), so that every part of nature “must have its own knowledge and perception, according to its own particular nature” (OEP, p. 141). It is unclear, however, whether the universal capacity of matter to know and perceive also implies (...) the presence of consciousness. I show that Cavendish’s use of the notions of “self-knowledge” and “perception” implies the attribution of consciousness to all bodies. I identify one condition under which the ubiquitous presence of consciousness is intuitively required in Cavendish’s system: namely the presence of intentional agency in every part of nature, which Cavendish conceives as necessary, alongside the capacity of self-motion, to account for the orderly behavior of any body. (shrink)

This work attempts to respond to Tomas Aquinas' Cosmological Argument in a way that combines Set Theory with the idea of the ‘Book of Change’. The study defines the ith Cause Set on which to operate on, which leads to the ontological commitment of austerity that the ‘First Cause's Compromise with emergence’ cannot be avoided. It is argued in the present paper that the concept that ‘emergence only consists of Synchronic Emergence and Diachronic Emergence’ should be extended to a broader (...) notion of emergence, which is made up of the two discussed elements and a third one ‘No-Boundary Emergence’ (beyond the time dimension). The article defines the concept of No-Boundary Emergence, proves why it is a type of emergence that differs from the traditional two types, and asserts that it underlies the bottom layer of the cosmos. This study describes the common feature of all emergence as communication protocols between layers. The assemblage of all emergences behaves similar to a distributed system that cannot be restricted by Gödel's theorem. The paper provides evidence (in Big Bang Cosmology, Conformal Cyclic Cosmology, Superstring Theory, Quantum Gravity) for this point of view, and notes that emergence (in the context of No-Boundary Emergence) is not only a simple scientific theory but also a progressive scientific research programme that can spontaneously grow from scientific theory based on Platonism at the expense of a degenerating shift to the ontological commitment of austerity. This paper proposes an improved model of Schrödinger Cat that provides a new explanation for quantum measurement and argues that there must be a forbidden zone of thought experiments. The study also introduces the implications of ancient Chinese thoughts (namely, the ‘Book of Change’ and Confucius). The paper comes to the conclusion that emergence (crossing the gap between ‘being’ and ‘nothing’, while ignoring the forbidden zone of thought experiments) relieves ‘cosmological insufficiency’ in the sense of Neo-Aristotelism. (shrink)

The paper discusses some aspects of integration of different regions and societies in the course of historical globalization. Within historical globalization one can observe a close correlation between such important processes as technological transformations, urbanization, political integration, struggle for political hegemony, etc. In the paper we analyze these correlations to associate historical globalization with phases of expansion. Within the expansion process we point out seven levels from the local level through the planetary one. The most significant changes were associated with (...) crucial technological breakthroughs, or production revolutions, and other related transformations like the Urban Revolution. The latter can be regarded as a phase transition of the Afroeurasian world-system to a qualitatively new level of complexity. There are also several periods which one can define as landmarks in the world-system history. The paper also offers some theoretical ideas about cycles of divergence and convergence. (shrink)

ENGLISH ABSTRACT: This thesis is a philosophical exposition of violence informed by two theoretical positions which confront complexity as a phenomenon. These positions are complexity theory and deconstruction. Both develop systemsbased understandings of complex phenomena in which relations of difference are constitutive of the meaning of those phenomena. There has been no focused investigation of the implications of complexity for the conceptualisation of violence thus far. In response to this theoretical gap, this thesis begins by distinguishing complexity theory as a (...) general, trans-disciplinary field of study from critical complexity theory. The latter is used to develop a critique and criticism of epistemological foundationalism, emphasising the limits to knowledge and the normative and ethical dimension of knowledge and understanding. The epistemological break implied by this critique reiterates the epistemological shift permeating the work of, among others, Friedrich Nietzsche and Jacques Derrida. In this context, critical complexity theory begins to articulate the idea of violence on two levels: first, as an empirical, ethical problem in the system; and, secondly, as asymmetry and antagonism. Violence in this second sense is implicated in the dynamic relations of difference through which structure and meaning are generated in complex organisation. The sensitivity to difference and violence shared by critical complexity theory and deconstruction allows for the parallel reading of these philosophical perspectives; and for the supplementation and opening of critical complexity theory by deconstruction within the architecture of this thesis. This supplementation seeks to preserve the singularity of each perspective, while exploring the potential of their points of affinity and tension in the production of a coherent philosophical analysis of violence. Deconstruction offers a more developed understanding of violence and a wealth of related motifs: différance, framing, law, singularity, aesthetics and others. These motifs necessitate the inclusion of other philosophical voices, notably, that of Nietzsche, Arendt, Kant, Levinas, and Benjamin. In conversation with these authors, this thesis links violence to meaning, to its possibility, to its production and to the process by which meaning comes to change. Given these links, violence is conceptualised in relation to the notion of difference on three distinct levels. The first is the difference between elements in a complex system of meaning; the second is the notion of difference between systems or texts around which boundaries or frames can be drawn; and the third is the notion of difference between meaning and the absence of meaning. This discussion examines the relationship between this violence implicated in the constitution of meaning and the more colloquial understanding of violence as atrocity, as rape, murder and other socially, politically and ethically problematic expressions thereof. It is to empirical violence, following Derrida and Levinas, that we are called to respond and to intervene in the suffering of the other. The ethical and political necessity of response anchors this discussion of violence. And, it is towards the possibility of an adequate response – the possibility of an ethics sensitive to its own violence and a politics that is directed at the eradication of empirical violence – which this discussion navigates. (shrink)

The success of deep learning in natural language processing raises intriguing questions about the nature of linguistic meaning and ways in which it can be processed by natural and artificial systems. One such question has to do with subword segmentation algorithms widely employed in language modeling, machine translation, and other tasks since 2016. These algorithms often cut words into semantically opaque pieces, such as ‘period’, ‘on’, ‘t’, and ‘ist’ in ‘period|on|t|ist’. The system then represents the resulting segments in a dense (...) vector space, which is expected to model grammatical relations among them. This representation may in turn be used to map ‘period|on|t|ist’ (English) to ‘par|od|ont|iste’ (French). Thus, instead of being modeled at the lexical level, translation is reformulated more generally as the task of learning the best bilingual mapping between the sequences of subword segments of two languages; and sometimes even between pure character sequences: ‘p|e|r|i|o|d|o|n|t|i|s|t’ → ‘p|a|r|o|d|o|n|t|i|s|t|e’. Such subword segmentations and alignments are at work in highly efficient end-to-end machine translation systems, despite their allegedly opaque nature. The computational value of such processes is unquestionable. But do they have any linguistic or philosophical plausibility? I attempt to cast light on this question by reviewing the relevant details of the subword segmentation algorithms and by relating them to important philosophical and linguistic debates, in the spirit of making artificial intelligence more transparent and explainable. (shrink)

The paper is a contribution to formal ontology. It seeks to use topological means in order to derive ontological laws pertaining to the boundaries and interiors of wholes, to relations of contact and connectedness, to the concepts of surface, point, neighbourhood, and so on. The basis of the theory is mereology, the formal theory of part and whole, a theory which is shown to have a number of advantages, for ontological purposes, over standard treatments of topology in set-theoretic terms. (...) One central goal of the paper is to provide a rigorous formulation of Brentano's thesis to the effect that a boundary can exist as a matter of necessity only as part of a whole of higher dimension which it is the boundary of. It concludes with a brief survey of current applications of mereotopology in areas such as natural-language analysis, geographic information systems, machine vision, naive physics, and database and knowledge engineering. (shrink)

In this paper we apply the popular Best System Account of laws to typical eternal worlds – both classical eternal worlds and eternal worlds of the kind posited by popular contemporary cosmological theories. We show that, according to the Best System Account, such worlds will have no laws that meaningfully constrain boundary conditions. It’s generally thought that lawful constraints on boundary conditions are required to avoid skeptical arguments. Thus the lack of such laws given the Best System Account may seem (...) like a severe problem for the view. We show, however, that at eternal worlds, lawful constraints on boundary conditions do little to help fend off skeptical worries. So with respect to handling these skeptical worries, the proponent of the Best System Account is no worse off than their competitors. (shrink)

As part of our small contribution in dialogue toward better peace development and reconciliation studies, and following Toffler & Toffler’s War and Antiwar (1993), the present article delves into a realm of logic beyond the traditional confines of negation and the excluded middle principle, exploring the nuances of "Otherness" that transcend classical and Nagatomo logics. Departing from the foundational premises of classical Aristotelian logic systems, this exploration ventures into alternative realms of reasoning, specifically examining Neutrosophic Logic and Klein bottle logic (...) (cf. Smarandache, 2005). The study challenges conventional boundaries and explores the implications of embracing paradoxes and self-reference in logic systems, aiming to redefine approaches to understanding truth and reasoning. The paper investigates how these alternative logics open avenues for philosophical inquiry, redefining entropy, and potentially influencing innovative perspectives in free energy systems. Through this exploration, it seeks to expand the discourse on logic, welcoming a broader spectrum of thought beyond established frameworks; and we also discuss shortly a number of possible implementations including in risk management and also Klein bottle entropy redefinition (Tang et al, 2018). (shrink)

The norms of a legal system are relevant in deciding on people's rights and duties within that system. Some norms that are not part of a legal system are also relevant within it: norms of foreign legal systems, games, clubs, contracts, grammar, and so on. What distinguishes the norms of a legal system from the norms merely relevant within it? Where, in other words, are law's boundaries? There are three existing answers in the literature, from Kramer, Shapiro, and Raz. (...) None succeed. A better answer starts with a distinction between two types of legal relevance: direct and indirect. Norms of a legal system are directly relevant within it. Norms that are not part of a legal system are at most indirectly relevant within it. Thus, the two types of norms are distinguished by the directness of their relevance. (shrink)

My contemplation on the outside world of a person's mindsponge process. Some of the contemplated ideas have been developed into the Ecomindsponge framework, which attempts to explain how humans navigate in the Earth's ecosystem.

Since the nineteen fifties many social theorists, religion specialists, and theologians have turned to general systems theory for insight into the nature of religion and its expressions. As an interdisciplinary perspective introduced by the biologist Ludwig von Bertalanffy and developed by the philosopher Ervin Laszlo and others, systems theory seeks common patterns of organization throughout the natural and cultural worlds. Because of its high level of generality, expressed in the relational principles of integration, adaptation, emergence, and hierarchy, systems theory attempts (...) to transcend artificial boundaries separating the sciences and the humanities. Advocates have claimed its value in interpreting a broad range of religious phenomena, including Christian theology and ethics, and Buddhist metaphysics and meditation. ;Religious studies has long struggled to integrate the competing contributions of the social sciences and phenomenology. A mediating proposal came in 1968 with Robert Bellah's cybernetic-systems theory of religion . An account of the common origins of systems theory and religious studies in nineteenth century thought , and a survey of representative literature between 1950 and 1985 , introduce a critique if specific methodological issues. ;The problem of functionalism is reinterpreted in terms of the adaptive self-regulation of open systems, and illustrated by three cybernetic theories of religion . The problem of historicism is reinterpreted in terms of the emergent self-organization of open systems, and illustrated by Talcott Parsons' action theory of religion and the theories of religious evolution of Bellah and D. T. Campbell . Reductionism is reconceived as the heuristic relationship of theoretical constructs in a hierarchy of open systems, and illustrated by theological conceptions of nature and meaning . ;In conclusion, the systems principle of integration is applied to the problems of personalism and pluralism, and illustrated in the personality theories of Bertalanffy, Koestler, Laszlo, and others. A systems theory of religious consciousness is shown to encompass the findings of religious studies broadly conceived: phenomenology and hermeneutics, social scientific theory, history of religions, philosophy of religion, and systematic theology. (shrink)

In this paper, we offer reasons to justify the explanatory credentials of dynamical modeling in the context of the metaplasticity thesis, located within a larger grouping of views known as 4E Cognition. Our focus is on showing that dynamicism is consistent with interventionism, and therefore with a difference-making account at the scale of system topologies that makes sui generis explanatory differences to the overall behavior of a cognitive system. In so doing, we provide a general overview of the interventionist approach. (...) We then argue that recent mechanistic attempts at reducing dynamical modeling to a merely descriptive enterprise fail given that the explanatory standard in dynamical modeling can be shown to rest on interventionism. We conclude that dynamical modeling captures features of nested and developmentally plastic cognitive systems that cannot be explained by appeal to underlying mechanisms alone. (shrink)

Artificial intelligence systems have been widely applied to various contexts, including high-stake decision processes in healthcare, banking, and judicial systems. Some developed AI models fail to offer a fair output for specific minority groups, sparking comprehensive discussions about AI fairness. We argue that the development of AI systems is marked by a central paradox: the less participation one stakeholder has within the AI system’s life cycle, the more influence they have over the way the system will function. This means that (...) the impact on the fairness of the system is in the hands of those who are less impacted by it. However, most of the existing works ignore how different aspects of AI fairness are dynamically and adaptively affected by different stages of AI system development. To this end, we present a use case to discuss fairness in the development of corporate wellness programs using smart wearables and AI algorithms to analyze data. The four key stakeholders throughout this type of AI system development process are presented. These stakeholders are called service designer, algorithm designer, system deployer, and end-user. We identify three core aspects of AI fairness, namely, contextual fairness, model fairness, and device fairness. We propose a relative contribution of the four stakeholders to the three aspects of fairness. Furthermore, we propose the boundaries and interactions between the four roles, from which we make our conclusion about the possible unfairness in such an AI developing process. (shrink)

How can we tell whether an incident counts as a microaggression? How do we draw the boundary between microaggressions and weightier forms of oppression, such as hate crimes? I address these questions by exploring the ontology and epistemology of microaggression, in particular the constitutive relationship between microaggression and systemic social oppression. I argue that we ought to define microaggression in terms of the ambiguous experience that its victims undergo, focusing attention on their perspectives while providing criteria for distinguishing microaggression.

Philosophers and cognitive scientists alike have recently been interested in whether cognition extends beyond the boundaries of skin and skull and into the environment. However, the extended cognition hypothesis has suffered many objections over the past few decades. In this paper, I explore the option of control extending beyond the human boundary. My aim is to convince the reader of three things: (i) that control can be implemented in artifacts, (ii) that humans and artifacts can form extended control systems, (...) and (iii) that perhaps extended control ought to be preferred over extended cognition. Using the objections to extended cognition as constraints on my own extended theorizing and the example of autofocus systems in cameras, I decompose and localize the components of an autofocus system that realize the central properties of control from a plausible theory of control in the literature. I then provide criteria according to which control can be extended in a system. Finally, I consider how this theory of extended control ought to be preferred to theories of extended cognition. (shrink)

ANNOTATION Sardak S.E. Global Regulatory System of Human Resources Development. – Manuscript. Thesis for the Doctor of Economic Science academic degree with major in 08.00.02 – World Economy and international economic relations. – SHEE «Kyiv National Economic University named after Vadym Hetman», Kyiv, 2014. The preconditions and factors of the global economic system with the identified relevant subjects areas and mechanisms of regulation instruments have been investigated. The crucial role of humans in the global economic system as a key factor (...) of production, the main resource, the producer and the consumer of economic and social benefits that are exposed to global threats, problems, challenges, trends and subjects has been confirmed. There have been revealed the causes and consequences of the public institutions transformation under the influence of globalization, which formed a qualitatively new conditions for social and economic development that determine the need for further changes in the areas of conceptual guideline for the management of human resources development, optimization of tasks, state and international institutions activity forms, integration of efforts as for monitoring, planning and forecasting. The modern major instruments and spheres of international cooperation to ensure human development have been determined. The integrated characteristic of human resources and their role in social development both from the standpoint of their use in labour processes and as a medium of civilization and social utility with the help of the categorical classification system organizing and expanding which enables to design and apply the appropriate approaches at all managerial levels have been defined. The necessity and the concept of human resources development in the context of the content of managerial influence identifying (self-development, self-management and external control of development) at different administrative levels that ensures the growth of human capital to the limits of its potential have been analysed. The survey of human activity system aspects in the global world, taking into account the parametrization of the global environment, its structure, management and development have been realized. The formed methodology principles of managerial influence on the development of human resources with scientific schools, hardness degrees, available models, research and providing theoretical and practical implementation peculiarities for groups of countries and territories of the world taken into consideration have been examined. There have been noted civilization and national differences in the forms of managerial influence on the development of human resources, which lead to the formation of human resources development national control systems conditioned by different value public strategic guidelines, especially in relation to social security, education, national management and state migration policy. The current and future requirements for global human resources development which are proposed to be achieved by the development and formalization of global civilizational paradigm of social development due to social coordination interaction have been given. The influence of the institute of state on the human resources development has been evaluated and it has been proved that in the beginning of the XXI century in the global environment the institute of state is the ultimate guarantor of its citizens’ labour ability and vital activity renewal, that makes it the main instrument of managerial influence on human development. The methodology of countries and territories matrix positioning by human development qualitative criteria and population size quantitative parameters which allows to design unified managerial measures as for human resources for similar national economies in the context of global regulatory trends has been proposed. The strategic trends of improvement of human resources development in the national economy, taking into account the differences in the development of human resources in different countries and areas which vary and differ in their focus, content and ways of implementation for such groups. The varying criteria for evaluating the effectiveness of the global impact on human resources development, taking into account the natural, biological, technological, economic, social and management dimensions and the results of human resources development management in social and economic systems at various levels have been revealed. The periodization and the forecast of the global dynamics of human resources development by analyzing and modeling the values of the absolute and relative terms correlation character have been carried out, which enables to make their retrospective and prospective comparison and to find chronological boundaries of qualitatively different periods. The configuration of the human resource development global coordinate system as a set of interrelated principles, components, fields, tools, frameworks, management levels and forms of managerial influence that allows with the help of institutional means to adapt the state of human resources development to a globally varying environment. (shrink)

Most engineers Fwork within social structures governing and governed by a set of values that primarily emphasise economic concerns. The majority of innovations derive from these loci. Given the effects of these innovations on various communities, it is imperative that the values they embody are aligned with those societies. Like other transformative technologies, artificial intelligence systems can be designed by a single organisation but be diffused globally, demonstrating impacts over time. This paper argues that in order to design for this (...) broad stakeholder group, engineers must adopt a systems thinking approach that allows them to understand the sociotechnicity of artificial intelligence systems across sociocultural domains. It claims that value sensitive design, and envisioning cards in particular, provides a solid first step towards helping designers harmonise human values, understood across spatiotemporal boundaries, with economic values, rather than the former coming at the opportunity cost of the latter. (shrink)

The pathbreaking scientific advances of recent years call for a new philosophical consideration of the fundamental categories of biology and its neighboring disciplines. Above all, the new information technologies used in biomedical research, and the necessity to master the continuously growing flood of data that is associated therewith, demand a profound and systematic reflection on the systematization and classification of biological data. This, however, demands robust theories of basic concepts such as kind, species, part, whole, function, process, fragment, sequence, expression, (...) boundary, locus, environment, system, and so on. Concepts which belong to the implicit stock of knowledge of every biologist. They amount to a dimension of biological reality which remains constant in the course of biological evolution and whose theoretical treatment requires contemporary analogues of the tools developed in traditional Aristotelian metaphysics. To provide the necessary theories and definitions is a task for philosophy, which is thus called upon to play an important role as intermediary between biology and informatics. (shrink)

One determining characteristic of contemporary sociopolitical systems is their power over increasingly large and diverse populations. This raises questions about power relations between heterogeneous individuals and increasingly dominant and homogenizing system objectives. This article crosses epistemic boundaries by integrating computer engineering and a historicalphilosophical approach making the general organization of individuals within large-scale systems and corresponding individual homogenization intelligible. From a versatile archeological-genealogical perspective, an analysis of computer and social architectures is conducted that reinterprets Foucault’s disciplines and political anatomy (...) to establish the notion of politics for a purely technical system. This permits an understanding of system organization as modern technology with application to technical and social systems alike. Connecting to Heidegger’s notions of the enframing (Gestell) and a more primal truth (anfänglicheren Wahrheit), the recognition of politics in differently developing systems then challenges the immutability of contemporary organization. Following this critique of modernity and within the conceptualization of system organization, Derrida’s democracy to come (à venir) is then reformulated more abstractly as organizations to come. Through the integration of the discussed concepts, the framework of Large-Scale Systems Composed of Homogeneous Individuals (LSSCHI) is proposed, problematizing the relationships between individuals, structure, activity, and power within large-scale systems. The LSSCHI framework highlights the conflict of homogenizing system-level objectives and individual heterogeneity, and outlines power relations and mechanisms of control shared across different social and technical systems. (shrink)

The theoretical underpinnings of public international law have taken the sovereign status of the nation-state for granted since the beginning of the modern era. After centuries of evolution in legal and political thought, the state's definition as a bounded territorial unit has been strictly codified. The legal development of the nation-state was an ideological project informed by extra-legal considerations. Additionally, the ever-narrowing scope of the juridical idea of sovereignty functioned as a boundary mechanism instrumental in colonising Africa and other regions. (...) While international law claims universal liberalism today, the current system based on sovereign nation-states represents not social inclusion but fierce and dangerous exclusion. -/- The central thesis of this book is that the development of legal sovereignty was, rather than part of the modernist progress narrative, a historically contingent evolutionary regression. While other social systems such as economics and science became globalised, politics and law counterintuitively became more territorialised. It is argued that the nation-state today is not only anachronistic but is dangerously ill-equipped for facing international problems such as the climate crisis or global pandemics. Finally, it also leaves African states and many other formerly-colonised territories at a particular disadvantage by regulating their political practices into a predefined mould. (shrink)

Memory evolved to supply useful, timely information to the organism’s decision-making systems. Therefore, decision rules, multiple memory systems, and the search engines that link them should have coevolved to mesh in a coadapted, functionally interlocking way. This adaptationist perspective suggested the scope hypothesis: When a generalization is retrieved from semantic memory, episodic memories that are inconsistent with it should be retrieved in tandem to place boundary conditions on the scope of the generalization. Using a priming paradigm and a decision task (...) involving person memory, the authors tested and confirmed this hypothesis. The results support the view that priming is an evolved adaptation. They further show that dissociations between memory systems are not—and should not be—absolute: Independence exists for some tasks but not others. (shrink)

The article considers the problem of the system model of family counseling, in particular, the analysis of the family as a social system, as a complex of elements and their properties, which are in dynamic connections and relationships. The analysis of the theory of systems and the description of the principles of family counseling is carried out. Particular attention is paid to highlighting the main provisions of the individual (“adlerian”) psychology in counseling the family. -/- Currently among specialists there is (...) a high interest in the provision of psychological assistance to a family in crisis. This is largely due to the fact that over the past decades, the institution of the family in this country is experiencing an increase in destructive tendencies. This is evidenced by an increase in the number of appeals to school psychologists, psychological counseling, psychological services and centers from both the individual members of the family and families in general. -/- The psychological help to the family is positioned as a relatively new field of practice for a psychologist. The practice of counseling, including family, is largely determined by the theoretical skills of the counselor, primarily as (s)he understands the personality, determination of behavior, the source of family problems, and the possibility of change. Today, practitioners prefer the integrative method, which is a system approach. -/- The purpose of this article is to analyze the theory of systems as the basis of family counseling. The system model of family counseling is considered to be one of the youngest and most widespread models that received their recognition at the end of the twentieth century. (shrink)

Habit in semiosis can be modeled both as a macro-level in a hierarchical multi-level system where it functions as boundary conditions for emergence of semiosis, and as a cognitive niche produced by an ecologically-inherited environment of cognitive artifacts. According to the first perspective, semiosis is modeled in terms of a multilayered system, with micro functional entities at the lower-level and with higher-level processes being mereologically composed of these lower-level entities. According to the second perspective, habits are embedded in ecologically-inherited environments (...) of signs that co-evolve with cognition. Both descriptions offer a novel approximation of Peirce’s semiotics and theoretical findings in other areas (hierarchy theory, evolutionary biology), suggesting new frameworks to approach the concept of habit integrated with its role in semiosis. (shrink)

Peirce's pragmatic notion of semiosis can be described in terms of a multi-level system of constraints involving chance, efficient, formal and final causation. According to the model proposed here, law-like regularities, which work as boundary conditions or organizational principles, have a downward effect on the spatiotemporal distribution of lower-level semiotic items. We treat this downward determinative influence as a propensity relation: if some lower-level entities a,b,c,-n are under the influence of a general organizational principle, W, they will show a tendency (...) to behave in certain specific ways, and, thus, to instantiate a set of specific processes. Our goal in this paper is to examine the role of downward determination in semiotic systems, conceived as multi-level hierarchical systems. (shrink)

This study examines problems related to the representation of music. It constructs the sender/message/perceiver/result model, a prototype broad enough to incorporate a large variety of music and other notation systems, including those having to do with computers. The work defines music notation itself, describes various models for studying the subject--including the binary types prescriptive/descriptive, and symbolic/iconic--and assesses music notation as a contemporary practice. It encompasses a review of the actions and intentions of composers, performers, and audiences, and a consideration of (...) the message and how it is affected by media , reference systems , and meanings. Finally, through an examination of the possibilities of the self acting as a notation system within models posited by feminist and queer theory, I attempt to demonstrate the power of notation to affect other systems and worlds, including the worlds of music, art, and politics. ;The consideration of these topics draws on theories from linguistics, semiotics, structuralism, post-structuralism, cybernetics, and music, as well as the philosophies of John Cage, Jean-Jacques Nattiez, Nelson Goodman, and others. The work examines various languages and applications used to program computers for musical purposes, though this examination does not incorporate programs dedicated exclusively to printing music. Nor does the study focus on non-Western notations, suggestions for reforms of notation, or encyclopedic lists of notation devices. ;The expository writing is augmented by excerpts from material I gathered in numerous interviews. There are separate sections containing interviews of Leonard Meyer, Allan Kaprow, John Cage, Earle Brown, Roger Reynolds, and Heidi von Gunden. There is also a large, partially-annotated bibliography. ;My hope is that an inclusive, interdisciplinary exploration of music notation will be useful in broadening the theoretical and creative boundaries of the field, as well as bridging gaps among musicians using various music technologies, and artists and theorists from diverse fields and perspectives. (shrink)

The Indian banking system evolved from an exclusive private enterprise controlled by a few wealthy families and trusts, leaving the majority reliant on high-interest private lenders, perpetuating economic disparity. Nationalization of 21 banks under Indira Gandhi aimed to rectify this, aligning with India's constitutional goal of equitable wealth distribution. However, globalization and privatization reshaped the landscape, emphasizing profit-seeking and catering to the corporate sector and affluent classes. The marginalized rural and small business sectors suffered in this pursuit, evident in neglected (...) rural branch postings. To address this, an ethical foundation merging Marxist economics and Shariah banking principles is proposed, seeking inclusivity and ethical grounding. Shariah principles, rooted in Islamic law, extend beyond religious boundaries, while Marxist values amplify voices of the marginalized. By combining these principles, a more inclusive, morally anchored, and holistic Indian banking system can be envisioned. The priority sector's Non-Performing Assets challenge can be addressed without jeopardizing inclusivity. (shrink)

To solve the hard problem of consciousness we observe that any cognitive system of suffi- cient power must get into difficulty when it tries to analyze consciousness concepts, because the mechanism that does the analysis will “bottom out” in such a way as to make the sys- tem declare these concepts to be both real and ineffable. Rather than use this observation to dismiss consciousness as an artifact, we propose a unifying interpretation that allows consciousness to be explicable at a (...) meta level, while at the same time being mysterious and inexplicable on its own terms. This implies that science must concede that there are some aspects of the world that deserve to be called “real”, but which are beyond explanation. We conclude that some future thinking machines will, inevitably, have the same subjective consciousness that we do. Some testable predictions are derived from this theory. (shrink)

Today decision-makers face surging increases in overall system complexity leading up to more unstable and unpredictable business environments. Leaders and decision-makers are confronted with volatility (dynamic and intense changes), uncertainty (lack of predictability), complexity (interconnection of parts which is sometimes overwhelmingly difficult to process), and ambiguity (unclear relationships), namely the VUCA-world. The implications of the VUCA-world for business and strategy can be applied to the rise of complex cyber-physical systems in Industry 4.0. There is an expressed need to develop complexity (...) management frameworks that integrate different individual measures of dealing with industrial system complexity into a synergetic strategic framework. In this regard new frameworks that reflect “real-life complexity” of industrial systems and their practitioners are being called for. It is therefore the core aim of the thesis to develop and apply a strategic complexity management framework (SCM) that fits in the individual reality of the decision-making practitioner by integrating different complexity dimensions of industrial systems in a holistic, synergetic, and strategic way. As a starting point for achieving this aim, an investigation and exploration of relevant theoretical frameworks is conducted and accumulates in the proposition of a set of hypotheses H1-H13 as an explanatory approach to achieve a multi-dimensional definition of industrial system complexity and to explore its impact on decision-making based on information growth in industrial systems. In a second step, H1-H13 are applied to develop a theoretical complexity space model for industrial systems. In the model the static and dynamic complexity of an industrial system are integrated in a complexity space modelling approach, where information complexity boundaries expand over time in a static compound space of a system and serve as an indicator for system instability in a static complexity space. The capabilities of the complexity space model are theoretically demonstrated, alongside a set of assumptions concerning the behavior of industrial system complexity. The developed complexity space model represents the core theoretical foundation for the establishment of the SCM in a third step. In the third step the complexity of an industrial system is captivated via the strategic complexity management framework (SCM) in the form of a strategic 8- quadrant matrix in adherence to the axioms of the paradigm of strategic complexity engineering which are to acknowledge, characterize, anticipate, and manage complexity. Definitions of static, dynamic and environmental conception of complexity of industrial systems are holistically integrated to capture the internal and external strategic management perspective in the SCM framework and the strategic capabilities of the SCM framework are theoretically demonstrated based on a set of generic norm strategies. In a fourth step the SCM is applied for strategic complexity management purposes to four different real-world cases of industrial manufacturing systems with the goal to test, explore and discuss the practical decision-aiding applicability of the framework via an interventionistic multi-case study based on qualitative document review. The individual results of the SCM application on the four different cases are described and discussed. Key-learnings across cases are identified and discussed as a conclusion. Finally, a research outlook is provided. (shrink)

Modern society faces major environmental problems, but there are many difficulties in studying the nature–human relationship from an integral psychosocial perspective. We propose the ecomind sponge conceptual framework, based on the mindsponge theory of information processing. We present a systematic method to examine the nature–human relationship with conceptual frameworks of system boundaries, selective exchange, and adaptive optimization. The theoretical mechanisms were constructed based on principles and new evidence in natural sciences. The core mechanism of ecomindsponge is the subjective sphere (...) of influence, which is the limited mental representation of information received from and processed based on the objective sphere of influence–actual interactions in reality. The subjective sphere is the sum of two sub-spheres: influencing (proactive) and being influenced (reactive). Maladaptation in thinking and behavior of the mind as an information collection-cum-processor results from the deviation of the subjective sphere from reality, which includes two main types: “stupidity” and “delusion”. Using Bayesian Mindsponge Framework (BMF) analytics on a dataset of 535 urban residents, we provide consistent statistical evidence on the proposed properties of subjective spheres. The dynamic framework of ecomindsponge can be used flexibly and practically for environmental research as well as other psychosocial fields. (shrink)

Recent developments under the keywords dynamicism, embodiment and situated cognition suggest the view that cognitive systems are not confined to the neural sys‐tem but leak into the world beyond the traditional system boundaries. This is the thesis of extended cognition. Such an extension of the cognitive vehicles leads to a new kind of content externalism, known as active externalism. The essay pursues three objectives: firstly, to distinguish the theses of extended cognitive and active externalism. Secondly, to delineate active externalism (...) from its various passive-externalist precursors in the form of physical, historical and social externalism and to scrutinize its special position, which amounts to a comprehensive discussion and analysis of all variants of mental externalism. And thirdly, to show that social externalism as opposed to physical and historical externalism allows for a gradual transition from passive to active mental externalism. (shrink)

This paper aims at introducing a French audience to the Intelligent Design debate. It starts by reviewing recent attacks on any possibility of a rational account of theism in light of the contemporary theory of evolution. A section is devoted to outlining the genesis of the "wedge" strategy, to distinguish it from young earth creationism, and to highlight the questioning of evolution as our meta-narrative bearing on overall conceptions of the scientific endeavor. The arguments propounded by Behe are reviewed in (...) detail, as the example of blood coagulation as a purported irreducibly complex mechanism is contrasted to the question of system boundaries. Counter-arguments by Miller are reviewed, and a few bottom-line questions are directed to invite a further consideration of the type of engineering this could testify to. The concept of complex specified information is then presented, and contrasted to traditional and lingering axiomatic problems in the theory of probabilities. The problem of the recognition of an intrinsic pattern is also brought together with some work in recent philosophy of causation and explanation. The two opposing strategies, naturalistic evolutionism and intelligent design, are seen as caught in each other's rhetoric, and some probing is offered in the direction of a theory that could surpass those stalling factors. (shrink)

Conceptual modeling of a portion of the world is a necessary prerequisite to set the stage and define software system boundaries. In this context, one of the challenges is to provide a unified framework to create a comprehensive representation of the targeted domain. According to many researchers, conceptual model (CM) development is a hard task, and system requirements are difficult to collect, causing many miscommunication problems. Accordingly, CMs require more than modeling ability alone: they first require an understanding of (...) the targeted domain that the model attempts to represent. Accordingly, a preconceptual modeling (pre-CM) stage is intended to address ontological issues before typical CM development is initiated. It involves defining a portion of reality when entities and processes are differentiated and integrated as unified wholes. This pre-CM phase forms the focus of research in this paper. The purpose is not show how to model; rather, it is to demonstrate how to establish a metaphysical basis of the involved portion of reality. To demonstrate such a venture, we employ the so-called thinging machine (TM) modeling that has been proposed as a high-level CM. A TM model integrates staticity and dynamism grounded in a fundamental construct called a thimac (things/machine). It involves two modes of reality, existence (events) and subsistence (regions: roughly, specifications of things and processes). Currently, the dominant approach in CM has evolved to limit its scope of application to develop ontological categorization (types of things). In contrast, advocates of TM modeling have pursued a broader metaphysical study of the nature of the domain’s things and processes beyond categorization. In the TM approach, pre-CM metaphysics is viewed as a part and parcel of CM itself. The general research problem is how to map TM constructs to what is out there in the targeted domain. Discussions involve the nature of thimacs (things and processes) and subsistence and existence as they are superimposed over each other in reality. Specifically, we make two claims, (i) the perceptibility of regions as a phenomenon and (ii) the distinctiveness of existence as a construct for events. The results contribute to further the understanding of TM modeling in addition to introducing some metaphysical insights. (shrink)

This article introduces an experimental paradigm to selectively probe the multiple levels of visual processing that influence the formation of object contours, perceptual boundaries, and illusory contours. The experiments test the assumption that, to integrate contour information across space and contrast sign, a spatially short-range filtering process that is sensitive to contrast polarity inputs to a spatially long-range grouping process that pools signals from opposite contrast polarities. The stimuli consisted of thin subthreshold lines, flashed upon gaps between collinear inducers (...) which potentially enable the formation of illusory contours. The subthreshold lines were composed of one or more segments with opposite contrast polarities. The polarity nearest to the inducers was varied to differentially excite the short-range filtering process. The experimental results are consistent with neurophysiological evidence for cortical mechanisms of contour processing and with the Boundary Contour System model, which identifies the short-range filtering process with cortical simple cells, and the long-range grouping process with cortical bipole cells. (shrink)

Several complexity theorists draw a sharp and ontologically robust distinction between (merely) complicated systems and (genuinely) complex systems. I argue that this distinction does not hold. Upon fine-grained analysis, ostensibly complicated systems turn out to be complex systems. The purported boundary between the complicated and the complex appears to be vague rather than sharp. Systems are complex by degrees.

Democratic systems ought to have certain central tenets that act as ethical boundaries. The violation of these ethical boundaries relegates democratic systems to mere mirages, perversions and phantoms. The market fundamentalistic stance of neo-liberalism leads to the abuse of virtually all the central tenets of democracy. Neo-liberalism advocates for a weak interventionist state in terms of fostering human rights and social justice and a strong regulatory state in terms of protecting and promoting markets and private property. Democracy on (...) the other hand calls for a strong interventionist state to implement the human rights and social justice mandate on behalf of the people and a strong regulatory state to curtail the abuse of human rights and social justice. This paper argues that in neo-liberal states like Uganda, markets and the accumulations of private property in most cases through primitive accumulation take precedence over democracy. This has culminated into privations of democracy such as; autocratic majoritarianism, mobocracy, kleptocracy, prebendalism and neo-patrimonialism. (shrink)

This issue of The Monist is devoted to the metaphysics of lesser kinds, which is to say those kinds of entity that are not generally recognized as occupying a prominent position in the categorial structure of the world. Why bother? We offer two sorts of reason. The first is methodological. In mathematics, it is common practice to study certain functions (for instance) by considering limit cases: What if x = 0? What if x is larger than any assigned value? Physics, (...) too, often studies the (idealized) initial and boundary conditions of a given system: What would happen in the case of a perfect sphere, or a perfectly black body? In the cognitive sciences, research often thrives on the analysis of cognitive errors, perceptual illusions, brain pathologies. Also in logic one can learn a lot by studying special, anomalous scenarios such as those exhibited by the paradoxes: it is unlikely that we actually find ourselves in a soritical context, or in a liar-like situation, but the fact that we might—or simply the fact that we can conceive of such a possibility—is important enough to deserve careful consideration. In short, the odd, the unfamiliar, the extra-ordinary, the limit cases are perfectly at home in scientific and more broadly intellectual discourse at various levels, where they can be fruitfully engaged in a sophisticated way (witness the existence of specific confining and managing strategies for dealing with them); and they are important precisely because they instruct us concerning the normal, the obvious, and the paradigmatic. The same goes for metaphysics, we submit. Although its major concern is, naturally, with such core entities as substances, properties, or hunks of solid matter, a lot may be learned by paying attention to those limit cases where we find ourselves dealing with entities of much lesser kinds, whether real or putative. (shrink)

The article aims to define the management mechanism of complex, open dynamic systems with human participation. The following parts of the system life-cycle were identified and unified in the theoretical scope: general and specific compositional elements of repeating changes, marginal index boundaries, the dynamics of the compositional elements of the lifecycle, the key points of the change in the character of the index dynamics. In the practical scope, two common trends of socio-economical system life-cycle management are considered. The first (...) trend is the regulation of the comprising element ratio, which provides the increase in the duration of the maximally effective performance of a functioning system. The second trend is the regulation of the reproduction time of a new system. The systems life cycle aspects are investigated in almost all sciences and studied within many disciplines in the field of higher education. Therefore, deepening the mastery of scientific and methodological foundations of the life cycle of a complex open dynamic system is useful for any subject in everyday and practical activities. A human being – in the formation of own human capital. Families – when it is formed, the birth of children, the distribution of income and expenses. Companies – for efficient business activities. As well as local communities, local self-government bodies, public authorities and global entities within their profile activities. The results of the research provide the possibility of the development of applicable mechanisms for effectiveness and stability enhancement of managerial and entrepreneurial operation in business projects. (shrink)

The EAT-Lancet Commission, consisting of 37 nutritionists, ecologists, and other experts from 16 countries, proposed safe operating space for food systems. This space helps to set ranges of food intake to ensure universal human health and a stable Earth system (not passing the planetary boundaries). Eventually, the Commission developed a 2,500-calorie-per-day eating plan for keeping the food systems in a safe operating space.

In this paper it is shown that Heyting and Co-Heyting mereological systems provide a convenient conceptual framework for spatial reasoning, in which spatial concepts such as connectedness, interior parts, (exterior) contact, and boundary can be defined in a natural and intuitively appealing way. This fact refutes the wide-spread contention that mereology cannot deal with the more advanced aspects of spatial reasoning and therefore has to be enhanced by further non-mereological concepts to overcome its congenital limitations. The allegedly unmereological concept of (...) boundary is treated in detail and shown to be essentially affected by mereological considerations. More precisely, the concept of boundary turns out to be realizable in a variety of different mereologically grounded versions. In particular, every part K of a Heyting algebra H gives rise to a well-behaved K-relative boundary operator. (shrink)

From the Editor’s Introduction: "The Internal Limitations of Human Understanding." We carry, unavoidably, the limits of our understanding with us. We are perpetually confined within the horizons of our conceptual structure. When this structure grows or expands, the breadth of our comprehensions enlarges, but we are forever barred from the wished-for glimpse beyond its boundaries, no matter how hard we try, no matter how much credence we invest in the substance of our learning and mist of speculation. -/- The (...) limitations in view here are not due to the mere finitude of our understanding of ourselves and of the world in which we live. They are limitations that come automatically and necessarily with any form of understanding. They are, as we shall see, part and parcel of any organization or ordering of data that we call information. -/- The consequences of these limitations are varied: As a result of them, hermeneutics cannot help but be hermetic; scientific theories of necessity are circumscribed by the boundaries of the ideas that define them; formal systems must choose between consistency and comprehensiveness; philosophical study, because it includes itself within its own proper subject matter, is forced to be reflexive in its self-enclosure. The fundamental dynamic shared by all forms of understanding testifies to an internal limitative keystone. (shrink)

Since the release of OpenAI's ChatGPT, the world has entered a race to develop more capable and powerful AI, including artificial general intelligence (AGI). The development is constrained by the dependency of AI on the model, quality, and quantity of training data, making the AI training process highly costly in terms of resources and environmental consequences. Thus, improving the effectiveness and efficiency of the AI training process is essential, especially when the Earth is approaching the climate tipping points and planetary (...) boundaries. It is evident that AI can function better when trained to mimic certain human mental processes. Based on insights from quantum mechanics and the informational entropy-based notion of value, we suggest AI developers can enhance the AI training processes' effectiveness and efficiency by creating and implementing parameter systems that are capable of effectively assigning probabilities to informational quanta. Such systems can help reduce entropy within the system, which lowers the energy required for data storage and processing while decreasing the likelihood of information loss during training. Successfully applying the concept of information entropy-based value in AI development will be crucial for advancing generative AI and achieving AGI in a sustainable manner. (shrink)

This work addresses the autonomous organization of biological systems. It does so by considering the boundaries of biological systems, from individual cells to Home sapiens, in terms of the presence of Markov blankets under the active inference scheme—a corollary of the free energy principle. A Markov blanket defines the boundaries of a system in a statistical sense. Here we consider how a collective of Markov blankets can self-assemble into a global system that itself has a Markov blanket; thereby (...) providing an illustration of how autonomous systems can be understood as having layers of nested and self-sustaining boundaries. This allows us to show that: (i) any living system is a Markov blanketed system and (ii) the boundaries of such systems need not be co-extensive with the biophysical boundaries of a living organism. In other words, autonomous systems are hierarchically composed of Markov blankets of Markov blankets—all the way down to individual cells, all the way up to you and me, and all the way out to include elements of the local environment. (shrink)

Starting with Kant’s undeveloped proposal of a “negative science,” the author describes how philosophy may be developed and strengthened by means of a systematic approach that seeks to identify and eliminate a widespread but seldom recognized form of systemic and propagating conceptual error. ¶¶¶¶¶ -/- The paper builds upon the author’s book, CRITIQUE OF IMPURE REASON: HORIZONS OF POSSIBILITY AND MEANING (Studies in Theory and Behavior, 2021). ¶¶¶¶¶ -/- The author’s purpose is twofold: first, to enable us to recognize (...) the boundaries of what is referentially forbidden—the limits beyond which reference becomes meaningless—and second, to avoid falling victims to a certain broad class of conceptual confusions that lie at the heart of many major philosophical problems. By realizing these objectives, the boundaries of possible meaning are determined. (shrink)

Theoretical accounts of development exhibit several internal tensions and face multiple challenges. They span from the problem of the identification of the temporal boundaries of development (beginning and end) to the characterization of the distinctive type of change involved compared to other biological processes. They include questions such as the role to ascribe to the environment or what types of biological systems can undergo development and whether they should include colonies or even ecosystems. In this chapter we discuss these (...) conceptual issues, and we argue that adopting an organizational approach may help solve or clarify them. -/- While development is usually identified with the achievement of an adult form with the capability to reproduce and therefore maintain a lineage, adopting the organizational approach may provide a different strategy, which focuses also on the maintenance of the current organization of the organism. By doing so an organizational approach favors a switch in perspective which consists in analyzing how organisms maintain their viability at each moment of development rather than considering them as going through intermediate stages of a process directed toward a specific goal state. This developmental dimension of biological organization has yet to be given a general and detailed analysis within the organizational theoretical perspective, apart from some preliminary attempts. How a biological organization is maintained through a series of radical organizational changes and what these changes are issues that still require clarification. In this chapter we offer the beginnings of such an analysis of developmental transitions, understood as changes in functionality brought forth by regulatory mechanisms in the context of the continued maintenance of organizational viability at every step. (shrink)

Recent science fiction has brought anthropomorphic robots from an imaginary far-future to contemporary spacetime. Employing semiotic concepts of semiosis, unpredictability and art as a modelling system, this study demonstrates how the artificial characters in four recent series have greater analogy with human behaviour than that of machines. Through Ricoeur’s notion of identity, this research frames the films’ narratives as typical literary and thought experiments with human identity. However, the familiar sociotopes and technoscientific details included in the narratives concerning data, privacy (...) and human–machine interaction blur the boundary between the human and the machine in both fictional and real-world discourse. Additionally, utilising Haynes’ scientist stereotypes, the research puts the robot makers into focus, revealing their secret agendas and hidden agency behind the artificial creatures. (shrink)

The author attempts to show how mereology, taken together with certain topological notions, can yield the foundations for future investigations in formal ontology. He also attempts to show how the mereological framework allows for the direct and natural formulation of a series of theses - for example pertaining to the concept of a boundary - which can be only indirectly formulated (if at all) in set-theoretic terms. The far-reaching ain of the present framework is to serve as a basis for (...) a formal ontology of the common-sense world. The author is interested in producing formally precise theories of structures of certain sorts in such a way that it is the structures themselves that intrest him and not formal machinery that has been set up to describe them. Hence the axioms are chosen primarily for the sake of the light they throw on the intended subject-matters (and not for their logical independence). The world itself - or its picture given in ordinary experience - is the only model the paper concentrates upon. Thus for example the presented system allows to prove that every boundary is the boundary of something, and that in particular no point exists in isolation from a large extended whole that is its boundary. (shrink)

The relationship between the One and the Multiple in mystic philosophy is a profound and central theme that explores the nature of existence, the cosmos, and the divine. This theme is present in various mystical traditions, including those of the East and West, and it addresses the paradoxical coexistence of the unity and multiplicity of all things. -/- In mystic philosophy, the **One** often represents the ultimate reality, the source from which all things emanate and to which all things return. (...) It is the absolute, the infinite, and the unchanging. The One is beyond all attributes and is often associated with the divine or the absolute truth. -/- The **Multiple**, on the other hand, represents the manifest world, the diversity of forms, and the realm of change and plurality. It is the world we experience through our senses, the domain of time and space, where differentiation and individuality are apparent. -/- The relationship between the One and the Multiple is not one of opposition but of emanation and unity. The Multiple is seen as a reflection, expression, or manifestation of the One. In this sense, the diversity of the world doesn’t contradict the unity of the One but rather demonstrates it in a myriad of forms. -/- Mystics seek to understand and experience this relationship through various practices and insights. They aim to transcend the illusion of separation and duality to experience the non-dual reality where the One and the Multiple are recognized as inseparable. -/- This concept can be illustrated by the metaphor of the ocean and its waves. The ocean represents the One—vast, deep, and all-encompassing—while the waves represent the Multiple—distinct, diverse, and ever-changing. Each wave is unique, yet it is not separate from the ocean. The wave’s existence is dependent on and made of the same substance as the ocean. In the same way, each individual entity in the Multiple is an expression of the One. -/- In summary, the relationship between the One and the Multiple in mystic philosophy is a dynamic interplay that challenges the conventional understanding of separation. It invites a deeper exploration of reality, where the apparent multiplicity of the world is a direct expression of the singular, underlying essence of all that is. -/- The relationship between the One and the Multiple in the context of mathematical philosophy is a profound topic that touches upon the very foundations of existence and knowledge. It’s a theme that has been explored by philosophers and mathematicians alike, often leading to the contemplation of unity and diversity within the structures of reality. -/- In mathematics, the concept of the One can be seen as the basis of unity from which all numbers derive. It’s the identity element in multiplication, the starting point in counting, and the foundation of dimension in geometry. The One is often associated with the concept of monism in philosophy, which posits that there is a single, underlying substance or principle that constitutes reality. -/- On the other hand, the Multiple represents the infinite variety and diversity of forms and numbers that arise from the One. It’s the embodiment of plurality and the complex interplay of different entities that mathematics seeks to understand and describe. This reflects the philosophical stance of pluralism, which acknowledges the existence of multiple realities or truths. -/- The interplay between the One and the Multiple can be seen in the mathematical concept of sets. A set can be thought of as a unity, a whole composed of distinct elements. Yet, each element within the set also retains its individuality, contributing to the diversity of the set’s composition. This duality is mirrored in the philosophical exploration of the universal and the particular, where the universal represents the One, and the particulars represent the Multiple. -/- In the realm of mathematical philosophy, this relationship often leads to questions about the nature of mathematical objects: Are they discovered as part of an objective reality (the One), or are they constructed by the human mind from a multitude of experiences (the Multiple)? This debate resonates with the philosophical inquiry into the nature of truth and reality. -/- Reflecting on the One and the Multiple can also lead to a deeper understanding of the self and the cosmos. Just as the number one is integral to the existence of all other numbers, the individual self can be seen as a unique expression of the universal whole. Similarly, the cosmos can be viewed as a grand unity composed of a multiplicity of forms and phenomena. -/- Gödel’s incompleteness theorems have a fascinating connection to the philosophical concepts of the One and the Multiple. These theorems, which are pivotal in mathematical logic and philosophy of mathematics, articulate the inherent limitations of formal axiomatic systems, particularly those sufficient to express the arithmetic of natural numbers. -/- Gödel’s incompleteness theorems have a fascinating connection to the philosophical concepts of the One and the Multiple. These theorems, which are pivotal in mathematical logic and philosophy of mathematics, articulate the inherent limitations of formal axiomatic systems, particularly those sufficient to express the arithmetic of natural numbers⁴. -/- The **first incompleteness theorem** reveals that within any such consistent system, there are propositions that are true but cannot be proven within the system itself. This reflects the idea of the Multiple in that there is an abundance of mathematical truths, a multiplicity that exceeds the unifying framework of any one system. It suggests that the realm of mathematical truth is more extensive than any single formal system can fully capture. -/- The **second incompleteness theorem** extends this by showing that a system cannot prove its own consistency. This relates to the concept of the One, as it implies that a system’s complete self-understanding, its unity and coherence, is unattainable from within. It must look beyond itself, to an external vantage point, to ascertain its consistency. -/- In the context of the One and the Multiple, Gödel’s theorems imply that the One (a consistent formal system) is inherently incomplete and cannot encompass the Multiple (the totality of mathematical truths). This resonates with philosophical discussions about the relationship between unity and plurality. Just as a single philosophical system cannot capture the entirety of truth, a single formal mathematical system cannot encapsulate all mathematical truths. -/- Moreover, Gödel’s work suggests that the pursuit of a single, unified theory of everything in mathematics—a One that encompasses all Multiples—is an inherently Sisyphean task. There will always be more truths (Multiples) than can be derived from any given set of axioms (the One). -/- In essence, Gödel’s incompleteness theorems provide a formal underpinning to the philosophical notion that the One cannot exist without the Multiple, and vice versa. They are interdependent, with the One giving rise to the Multiple, and the Multiple necessitating the One for its expression and comprehension. This interplay is a dance of limitations and possibilities, where the boundaries of logic, mathematics, and philosophy blur into one another. -/- The relationship between the One and the Multiple in the context of the mathematics of zero is a deeply philosophical inquiry that bridges the abstract world of numbers with the existential questions of being and non-being. -/- Zero, in mathematics, is a symbol of absence, a representation of nothingness, yet it holds a pivotal position as a number. It is the void from which all things emerge and to which they return. In the philosophy of mathematics, zero is the paradoxical junction where the One and the Multiple converge and diverge. -/- From the perspective of the One, zero can be seen as the origin—the singular point that precedes the existence of numbers. It is the empty set, the foundation upon which the edifice of mathematics is constructed. As the identity element in addition, zero maintains the integrity of numbers, for adding zero to any number leaves it unchanged, reflecting the immutable nature of the One. -/- Conversely, when we consider the Multiple, zero represents the infinite potentiality of creation. It is the canvas upon which the integers, both positive and negative, express their multitude. Zero is the balance point, the fulcrum around which the symphony of numbers dances. It embodies the plurality of possibilities, the beginning of the number line that stretches infinitely in both directions. -/- Philosophically, zero challenges our understanding of existence. It is both something and nothing—a number that quantifies the absence of quantity. This duality echoes the philosophical struggle to comprehend how the One gives rise to the Multiple. How does the unity of being manifest the diversity of the cosmos? Zero offers a mathematical metaphor for this mystery, as it encapsulates the transition from non-existence to existence, from the undifferentiated One to the differentiated Multiple. -/- In the realm of set theory, zero corresponds to the empty set—a set with no elements. This set is unique in that it is the only set that contains nothing, yet it is the foundation upon which all other sets are built. The empty set is the mathematical embodiment of the One, and all other sets, containing multiple elements, arise from it. -/- Reflecting on zero in the context of Gödel’s incompleteness theorems, we find a resonance with the idea that the One (a consistent formal system) cannot capture the entirety of the Multiple (the totality of mathematical truths). Zero, as the foundation of numbers, similarly suggests that from the nothingness of the One, the infinite complexity of the Multiple emerges—yet it can never be fully encompassed or expressed by any single system. -/- In conclusion, the mathematics of zero offers a profound reflection on the relationship between the One and the Multiple. It serves as a bridge between the abstract and the concrete, the known and the unknowable, challenging us to ponder the origins of existence and the nature of reality itself. -/- . (shrink)

This article views gender dynamics and strategies for change in a small Swedish village from a systems perspective. In the context of the struggle for the communal management of forests, tensions arose in the relations among the people in the village who differed in their opinions as to how to approach village development. Some village women argued for the importance of issues other than only community forestry in the development of the community's future livelihoods and well-being. They also believed that (...) linking these activities with each other are vital for the community. Co-operative inquiry with women in the village reveals that, in their view, the community's overall needs are the most meaningful point of departure and not just individual resource management initiatives. They believed that it was vital to link resource management with other developmental activities in the village. The inquiry process also shows how the differences that may arise between men and women are dependent on the context, their relationships, and the networks they activate rather than the differences emerging solely from gender roles or the structure. Attention to how women and men “draw boundaries” around their activities and relationships expands our understanding of the diverse means they use for reaching their objectives. It also highlights the role of innovators who cross these boundaries and work toward change. (shrink)