Results for 'Kolmogorov Complexity'

968 found
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  1. Measuring Complexity: Things That Go Wrong and How to Get It Right—Version 2.Vincent Vesterby - manuscript
    Seven problems that occur in attempts to measure complexity are pointed out as they occur in four proposed measurement techniques. Each example method is an improvement over the previous examples. It turns out, however, that none are up to the challenge of complexity. Apparently, there is no currently available method that truly gets the measure of complexity. There are two reasons. First, the most natural approach, quantitative analysis, is rendered inadequate by the very nature of complexity. (...)
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  2. Complexity and information.Panu Raatikainen - 1998 - In _Complexity, Information and Incompleteness_ (doctoral dissertation). Reports from the Department of Philosophy, University of Helsinki, 2/1998.
    "Complexity" is a catchword of certain extremely popular and rapidly developing interdisciplinary new sciences, often called accordingly the sciences of complexity. It is often closely associated with another notably popular but ambiguous word, "information"; information, in turn, may be justly called the central new concept in the whole 20th century science. Moreover, the notion of information is regularly coupled with a key concept of thermodynamics, viz. entropy. And like this was not enough it is quite usual to add (...)
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  3. On interpreting Chaitin's incompleteness theorem.Panu Raatikainen - 1998 - Journal of Philosophical Logic 27 (6):569-586.
    The aim of this paper is to comprehensively question the validity of the standard way of interpreting Chaitin's famous incompleteness theorem, which says that for every formalized theory of arithmetic there is a finite constant c such that the theory in question cannot prove any particular number to have Kolmogorov complexity larger than c. The received interpretation of theorem claims that the limiting constant is determined by the complexity of the theory itself, which is assumed to be (...)
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  4. (2 other versions)Probability and Randomness.Antony Eagle - 2016 - In Alan Hájek & Christopher Hitchcock (eds.), The Oxford Handbook of Probability and Philosophy. Oxford: Oxford University Press. pp. 440-459.
    Early work on the frequency theory of probability made extensive use of the notion of randomness, conceived of as a property possessed by disorderly collections of outcomes. Growing out of this work, a rich mathematical literature on algorithmic randomness and Kolmogorov complexity developed through the twentieth century, but largely lost contact with the philosophical literature on physical probability. The present chapter begins with a clarification of the notions of randomness and probability, conceiving of the former as a property (...)
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  5. A Dilemma for Solomonoff Prediction.Sven Neth - 2023 - Philosophy of Science 90 (2):288-306.
    The framework of Solomonoff prediction assigns prior probability to hypotheses inversely proportional to their Kolmogorov complexity. There are two well-known problems. First, the Solomonoff prior is relative to a choice of Universal Turing machine. Second, the Solomonoff prior is not computable. However, there are responses to both problems. Different Solomonoff priors converge with more and more data. Further, there are computable approximations to the Solomonoff prior. I argue that there is a tension between these two responses. This is (...)
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  6. Reward-Punishment Symmetric Universal Intelligence.Samuel Allen Alexander & Marcus Hutter - 2021 - In Samuel Allen Alexander & Marcus Hutter (eds.), AGI.
    Can an agent's intelligence level be negative? We extend the Legg-Hutter agent-environment framework to include punishments and argue for an affirmative answer to that question. We show that if the background encodings and Universal Turing Machine (UTM) admit certain Kolmogorov complexity symmetries, then the resulting Legg-Hutter intelligence measure is symmetric about the origin. In particular, this implies reward-ignoring agents have Legg-Hutter intelligence 0 according to such UTMs.
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  7. Real patterns and indispensability.Abel Suñé & Manolo Martínez - 2021 - Synthese 198 (5):4315-4330.
    While scientific inquiry crucially relies on the extraction of patterns from data, we still have a far from perfect understanding of the metaphysics of patterns—and, in particular, of what makes a pattern real. In this paper we derive a criterion of real-patternhood from the notion of conditional Kolmogorov complexity. The resulting account belongs to the philosophical tradition, initiated by Dennett :27–51, 1991), that links real-patternhood to data compressibility, but is simpler and formally more perspicuous than other proposals previously (...)
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  8. Information, learning and falsification.David Balduzzi - 2011
    There are (at least) three approaches to quantifying information. The first, algorithmic information or Kolmogorov complexity, takes events as strings and, given a universal Turing machine, quantifies the information content of a string as the length of the shortest program producing it [1]. The second, Shannon information, takes events as belonging to ensembles and quantifies the information resulting from observing the given event in terms of the number of alternate events that have been ruled out [2]. The third, (...)
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  9. Composition as pattern.Steve Petersen - 2019 - Philosophical Studies 176 (5):1119-1139.
    I argue for patternism, a new answer to the question of when some objects compose a whole. None of the standard principles of composition comfortably capture our natural judgments, such as that my cat exists and my table exists, but there is nothing wholly composed of them. Patternism holds, very roughly, that some things compose a whole whenever together they form a “real pattern”. Plausibly we are inclined to acknowledge the existence of my cat and my table but not of (...)
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  10. God is Random: A Novel Argument for the Existence of God.Serkan Zorba - 2016 - European Journal of Science and Theology 12 (1):51-67.
    Applying the concepts of Kolmogorov-Chaitin complexity and Turing’s uncomputability from the computability and algorithmic information theories to the irreducible and incomputable randomness of quantum mechanics, a novel argument for the existence of God is presented. Concepts of ‘transintelligence’ and ‘transcausality’ are introduced, and from them, it is posited that our universe must be epistemologically and ontologically an open universe. The proposed idea also proffers a new perspective on the nonlocal nature and the infamous wave-function-collapse problem of quantum mechanics.
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  11. Un mundo de estructuras: Simetrías Grupo-Teóricas desde el Realismo Infoestructural.Javier Anta - 2019 - Metatheoria 10 (1):1-11.
    Ontic Structural Realism, as pivotal position in philosophy of science and metaphysics, defends the idea that the world is ultimately constituted of real physical structures. French (2014) regards physical symmetries as the foundational structure of a world without objects. On the other hand, Ladyman and Ross (2007) hold that the world is essentially made of non-redundant informational structure. I argue in this paper that these two positions are by no means incompatible, for instance by interpreting French’s physical symmetries as real (...)
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  12. Exploring Randomness.Panu Raatikainen - 2001 - Notices of the AMS 48 (9):992-6.
    Review of "Exploring Randomness" (200) and "The Unknowable" (1999) by Gregory Chaitin.
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  13. The Substrate-Prior of Consciousness.Gabriel Leuenberger -
    Given functionally equivalent minds, how does the expected quantity of their conscious experience differ across different substrates and how could we calculate this? We argue that a realistic digital brain emulation would be orders of magnitude less conscious than a real biological brain. On the other hand, a mind running on neuromorphic hardware or a quantum computer could in principle be more conscious than than a biological brain.
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  14. Complexity Reality and Scientific Realism.Avijit Lahiri - manuscript
    We introduce the notion of complexity, first at an intuitive level and then in relatively more concrete terms, explaining the various characteristic features of complex systems with examples. There exists a vast literature on complexity, and our exposition is intended to be an elementary introduction, meant for a broad audience. -/- Briefly, a complex system is one whose description involves a hierarchy of levels, where each level is made of a large number of components interacting among themselves. The (...)
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  15. Bridging Conceptual Gaps: The Kolmogorov-Sinai Entropy.Massimiliano Badino - forthcoming - Isonomía. Revista de Teoría y Filosofía Del Derecho.
    The Kolmogorov-Sinai entropy is a fairly exotic mathematical concept which has recently aroused some interest on the philosophers’ part. The most salient trait of this concept is its working as a junction between such diverse ambits as statistical mechanics, information theory and algorithm theory. In this paper I argue that, in order to understand this very special feature of the Kolmogorov-Sinai entropy, is essential to reconstruct its genealogy. Somewhat surprisingly, this story takes us as far back as the (...)
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  16. Really Complex Demonstratives: A Dilemma.Ethan Nowak - 2022 - Erkenntnis 87 (4):1-24.
    I have two aims for the present paper, one narrow and one broad. The narrow aim is to show that a class of data originally described by Lynsey Wolter empirically undermine the leading treatments of complex demonstratives that have been described in the literature. The broader aim of the paper is to show that Wolter demonstratives, as I will call the constructions I focus on, are a threat not just to existing treatments, but to any possible theory that retains the (...)
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  17. Complexics as a meta-transdisciplinary field.Albert Bastardas-Boada - 2019 - Congrès Mondial Pour la Pensée Complexe. Les Défis D’Un Monde Globalisé. (Paris, 8-9 Décembre. UNESCO).
    ‘Complexics’ denotes the meta-transdisciplinary field specifically concerned with giving us suitable cognitive tools to understand the world’s complexity. Additionally, the use of the adjective ‘complexical’ would avoid the common confusion caused by the adjective ‘complex’, which belongs to everyday usage and already has its own connotations of complication and confusion. Thus, ‘complexical’ thinking and ‘complexical’ perspective would provide clearer terms, be freer of confusion, and refer more precisely to epistemic elements in contrast to the ‘complexity’ typical of many (...)
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  18. Complex-Dynamic Origin of Quantised Relativity and Its Manifestations at Higher Complexity Levels.Andrei P. Kirilyuk - 2017 - In Theory of Everything, Ultimate Reality and the End of Humanity: Extended Sustainability by the Universal Science of Complexity. Beau Bassin: LAP LAMBERT Academic Publishing. pp. 186-194.
    Unified and causal complex-dynamic origin of standard (special and general) relativistic and quantum effects revealed previously at the lowest levels of world interaction dynamics is explicitly generalised to all higher levels of unreduced interaction processes, thus additionally confirming the causally complete character of complex-dynamical, naturally quantised relativity, which does not contain any artificially added, abstract postulates. We demonstrate some elementary applications of this generalised quantum relativity at higher levels of complex brain and social interaction dynamics.
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  19. Towards Helmholtz’s electron vortex from Kolmogorov’s theory of turbulence and a new model of origination of charge and matter.Victor Christianto, Florentin Smarandache & Robert N. Boyd - manuscript
    In the present paper we discuss: a) how Hilbert’s unification program failed completely, and b) we outline a new electron model based on Helmholtz’s electron vortex and Kolmogorov theory of turbulence. Novelty aspect: we discuss among other things, electron capture event, and von Karman vortex street. We also discuss a new model of origination of charge and matter. This paper is a sequel to a preceding paper on similar theme.
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  20.  67
    Is Complexity Important for Philosophy of Mind?Kristina Šekrst & Sandro Skansi - manuscript
    Computational complexity has often been ignored in the philosophy of mind, in philosophical artificial intelligence studies. The purpose of this paper is threefold. First and foremost, to show the importance of complexity rather than computability in philosophical and AI problems. Second, to rephrase the notion of computability in terms of solvability, i.e., treating computability as non-sufficient for establishing intelligence. The Church-Turing thesis is therefore revisited and rephrased in order to capture the ontological background of spatial and temporal (...). Third, to emphasize ontological differences between different time complexities, which seem to provide a solid base for a better understanding of artificial intelligence in general. (shrink)
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  21. Bergson, Complexity and Creative Emergence.David Kreps - 2014 - New York: Palgrave-Macmillan.
    This is a book about evolution from a post-Darwinian perspective. It recounts the core ideas of French philosopher Henri Bergson and his rediscovery and legacy in the poststructuralist critical philosophies of the 1960s, and explores the confluences of these ideas with those of complexity theory in environmental biology. The failings in the development of systems theory, many of which complex systems theory overcomes, are retold; with Bergson, this book proposes, some of the rest may be overcome too. It asserts (...)
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  22. Complexity, Existence and Infinite Analysis.Giovanni Merlo - 2012 - The Leibniz Review 22:9-36.
    According to Leibniz’s infinite-analysis account of contingency, any derivative truth is contingent if and only if it does not admit of a finite proof. Following a tradition that goes back at least as far as Bertrand Russell, several interpreters have been tempted to explain this biconditional in terms of two other principles: first, that a derivative truth is contingent if and only if it contains infinitely complex concepts and, second, that a derivative truth contains infinitely complex concepts if and only (...)
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  23. Complexity Perspectives on Language, Communication and Society.Albert Bastardas-Boada & Àngels Massip-Bonet (eds.) - 2013 - Berlin: Springer.
    The “language-communication-society” triangle defies traditional scientific approaches. Rather, it is a phenomenon that calls for an integration of complex, transdisciplinary perspectives, if we are to make any progress in understanding how it works. The highly diverse agents in play are not merely cognitive and/or cultural, but also emotional and behavioural in their specificity. Indeed, the effort may require building a theoretical and methodological body of knowledge that can effectively convey the characteristic properties of phenomena in human terms. New complexity (...)
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  24. Complexity and language contact: A socio-cognitive framework.Albert Bastardas-Boada - 2017 - In Salikoko S. Mufwene, François Pellegrino & Christophe Coupé (eds.), Complexity in language. Developmental and evolutionary perspectives. Cambridge University Press. pp. 218-243.
    Throughout most of the 20th century, analytical and reductionist approaches have dominated in biological, social, and humanistic sciences, including linguistics and communication. We generally believed we could account for fundamental phenomena in invoking basic elemental units. Although the amount of knowledge generated was certainly impressive, we have also seen limitations of this approach. Discovering the sound formants of human languages, for example, has allowed us to know vital aspects of the ‘material’ plane of verbal codes, but it tells us little (...)
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  25. Universal Complexity in Action: Active Condensed Matter, Integral Medicine, Causal Economics and Sustainable Governance.Andrei P. Kirilyuk - manuscript
    We review the recently proposed universal concept of dynamic complexity and its new mathematics based on the unreduced interaction problem solution. We then consider its progress-bringing applications at various levels of complex world dynamics, including complex-dynamical nanometal physics and living condensed matter, unreduced nanobiosystem dynamics and the integral medicine concept, causally complete management of complex economical and social dynamics, and the ensuing concept of truly sustainable world governance.
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  26.  63
    Complex Emergent Model of Language Acquisition (CEMLA).Mir H. S. Quadri - 2024 - The Lumeni Notebook Research.
    The Complex Emergent Model of Language Acquisition (CEMLA) offers a new perspective on how humans acquire language, drawing on principles from complexity theory to explain this dynamic, adaptive process. Moving beyond linear and reductionist models, CEMLA views language acquisition as a system of interconnected nodes, feedback loops, and emergent patterns, operating at the edge of chaos. This framework captures the fluidity and adaptivity of language learning, highlighting how understanding and fluency arise through self-organisation, phase transitions, and interaction with diverse (...)
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  27.  58
    Complex Harmony: Rethinking the Virtue-Continence Distinction.Nick Schuster - 2020 - The Journal of Ethics 24 (2):225-240.
    In the Aristotelian tradition, the psychological difference between virtue and continence is commonly understood in terms of inner harmony versus inner conflict. Virtuous agents experience inner harmony between feeling and action because they do not care to do other than what their circumstances call for, whereas continent agents feel conflicted about doing what is called for because of competing concerns. Critics of this view argue, however, that when the circumstances require sacrificing something of genuine value, virtuous agents can indeed feel (...)
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  28. Complexity of Judgment Aggregation.Ulle Endriss, Umberto Grandi & Daniele Porello - 2012 - Journal of Artificial Intelligence Research 45:481--514.
    We analyse the computational complexity of three problems in judgment aggregation: (1) computing a collective judgment from a profile of individual judgments (the winner determination problem); (2) deciding whether a given agent can influence the outcome of a judgment aggregation procedure in her favour by reporting insincere judgments (the strategic manipulation problem); and (3) deciding whether a given judgment aggregation scenario is guaranteed to result in a logically consistent outcome, independently from what the judgments supplied by the individuals are (...)
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  29. Goodbye, Kolmogorov!Silvere Gangloff - manuscript
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  30. Editorial: Complex Problem Solving Beyond the Psychometric Approach.Wolfgang Schoppek, Annette Kluge, Magda Osman & Joachim Funke - 2018 - Frontiers in Psychology 9.
    Complex problem solving (CPS) and related topics such as dynamic decision-making (DDM) and complex dynamic control (CDC) represent multifaceted psychological phenomena. In a broad sense, CPS encompasses learning, decision-making, and acting in complex and dynamic situations. Moreover, solutions to problems that people face in such situations are often generated in teams or groups. In turn, this adds another layer of complexity to the situation itself because of the emerging issues that arise from the social dynamics of group interactions. This (...)
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  31. Hylomorphism and Complex Properties.Graham Renz - 2020 - Metaphysica 21 (2):179-197.
    Hylomorphism is the Aristotelian theory according to which objects are composites of form and matter. Form is what unifies the various parts of an object – the matter – into a cohesive whole. Some contemporary hylomorphists argue their theory applies beyond the realm of concreta, and that it explains the unity of various abstract entities. Not everyone agrees. Recent criticism alleges that hylomorphism fails to explain the unity of certain abstract entities, namely, complex properties – properties with other properties as (...)
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  32. Descriptive Complexity, Computational Tractability, and the Logical and Cognitive Foundations of Mathematics.Markus Pantsar - 2021 - Minds and Machines 31 (1):75-98.
    In computational complexity theory, decision problems are divided into complexity classes based on the amount of computational resources it takes for algorithms to solve them. In theoretical computer science, it is commonly accepted that only functions for solving problems in the complexity class P, solvable by a deterministic Turing machine in polynomial time, are considered to be tractable. In cognitive science and philosophy, this tractability result has been used to argue that only functions in P can feasibly (...)
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  33. Reconceptualizing the Organism: From Complex Machine to Flowing Stream.Daniel J. Nicholson - 2018 - In Daniel J. Nicholson & John Dupré (eds.), Everything Flows: Towards a Processual Philosophy of Biology. Oxford, United Kingdom: Oxford University Press.
    This chapter draws on insights from non-equilibrium thermodynamics to demonstrate the ontological inadequacy of the machine conception of the organism. The thermodynamic character of living systems underlies the importance of metabolism and calls for the adoption of a processual view, exemplified by the Heraclitean metaphor of the stream of life. This alternative conception is explored in its various historical formulations and the extent to which it captures the nature of living systems is examined. Following this, the chapter considers the metaphysical (...)
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  34. Unextended Complexes.Martin Pickup - 2016 - Thought: A Journal of Philosophy 5 (3):257-264.
    Extended simples are fruitfully discussed in metaphysics. They are entities which are located in a complex region of space but do not themselves have parts. In this paper, I will discuss unextended complexes: entities which are not located at a complex region of space but do themselves have parts. In particular, I focus on one type of unextended complex: pointy complexes. Four areas are indicated where pointy complexes might prove philosophically useful. Unextended complexes are therefore philosophically fruitful, in much the (...)
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  35. Complexity and the Evolution of Consciousness.Walter Veit - 2023 - Biological Theory 18 (3):175-190.
    This article introduces and defends the “pathological complexity thesis” as a hypothesis about the evolutionary origins of minimal consciousness, or sentience, that connects the study of animal consciousness closely with work in behavioral ecology and evolutionary biology. I argue that consciousness is an adaptive solution to a design problem that led to the extinction of complex multicellular animal life following the Avalon explosion and that was subsequently solved during the Cambrian explosion. This is the economic trade-off problem of having (...)
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  36. Clonal complexes in biomedical ontologies.Albert Goldfain, Lindsay Cowell & Barry Smith - 2009 - In Barry Smith (ed.), ICBO 2009: Proceedings of the First International Conference on Biomedical Ontology. Buffalo: NCOR. pp. 168.
    An accurate classification of bacteria is essential for the proper identification of patient infections and subsequent treatment decisions. Multi-Locus Sequence Typing (MLST) is a genetic technique for bacterial classification. MLST classifications are used to cluster bacteria into clonal complexes. Importantly, clonal complexes can serve as a biological species concept for bacteria, facilitating an otherwise difficult taxonomic classification. In this paper, we argue for the inclusion of terms relating to clonal complexes in biomedical ontologies.
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  37. Abstract Complexity Definition.Mariusz Stanowski - 2011 - Complicity: An International Journal of Complexity and Education (2).
    The complexity definition has appeared during analysis of visual structures perception. The binary model of visual impacts finding was essential here for a possibility of the general (abstract) research. The Abstract Complexity Definition is one of the research results. The definition meets intuitive complexity criterion and could be a common surface for all existing definitins of complexity.
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  38. Complex Systems Approach to the Hard Problem of Consciousness.Sahana Rajan - manuscript
    Consciousness has been the bone of contention for philosophers throughout centuries. Indian philosophy largely adopted lived experience as the starting point for its explorations of consciousness. For this reason, from the very beginning, experience was an integral way of grasping consciousness, whose validity as a tool was considered self-evident. Thus, in Indian philosophy, the question was not to move from the brain to mind but to understand experience of an individual and how such an experience is determined through mental structures (...)
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  39. The complex act of projecting oneself into the future.Stan Klein - 2013 - WIREs Cognitive Science 4:63-79.
    Research on future-oriented mental time travel (FMTT) is highly active yet somewhat unruly. I believe this is due, in large part, to the complexity of both the tasks used to test FMTT and the concepts involved. Extraordinary care is a necessity when grappling with such complex and perplexing metaphysical constructs as self and time and their co-instantiation in memory. In this review, I first discuss the relation between future mental time travel and types of memory (episodic and semantic). I (...)
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  40. A Complex Number Notation of Nature of Time: An Ancient Indian Insight.R. B. Varanasi Varanasi Varanasi Ramabrahmam, Ramabrahmam Varanasi, V. Ramabrahmam - 2013 - In Varanasi Ramabrahmam Ramabrahmam Varanasi V. Ramabrahmam R. B. Varanasi Varanasi (ed.), Proceedings of 5th International Conference on Vedic Sciences on “Applications and Challenges in Vedic / Ancient Indian Mathematics". Veda Vijnaana Sudha. pp. 386-399.
    The nature of time is perceived by intellectuals variedly. An attempt is made in this paper to reconcile such varied views in the light of the Upanishads and related Indian spiritual and philosophical texts. The complex analysis of modern mathematics is used to represent the nature and presentation physical and psychological times so differentiated. Also the relation between time and energy is probed using uncertainty relations, forms of energy and phases of matter.
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  41. The complex interplay between climate change belief, political identity, and potable water reuse willingness: Insights from the arid region of the United States.Minh-Hoang Nguyen, Dan Li, Geng Li, Thi Mai Anh Tran & Quan-Hoang Vuong - manuscript
    Public sentiment regarding climate change in the United States is starkly divided, with the Republicans and Democrats holding markedly different views. Given the inherent connection between the water crisis and climate change, this research aimed to investigate the interplay between the residents’ beliefs about the impact of climate change on water supply unpredictability, their political identity, and their willingness to adopt direct and indirect potable water reuse. The Bayesian Mindsponge Framework (BMF) analytics was conducted on a dataset of 1,831 water (...)
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  42. Complexity Biology-based Information Structures can explain Subjectivity, Objective Reduction of Wave Packets, and Non-Computability.Alex Hankey - 2014 - Cosmos and History 10 (1):237-250.
    Background: how mind functions is subject to continuing scientific discussion. A simplistic approach says that, since no convincing way has been found to model subjective experience, mind cannot exist. A second holds that, since mind cannot be described by classical physics, it must be described by quantum physics. Another perspective concerns mind's hypothesized ability to interact with the world of quanta: it should be responsible for reduction of quantum wave packets; physics producing 'Objective Reduction' is postulated to form the basis (...)
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  43. Complex problem solving: A case for complex cognition?Joachim Funke - 2010 - Cognitive Processing 11 (1):133-142.
    Complex problem solving (CPS) emerged in the last 30 years in Europe as a new part of the psychology of thinking and problem solving. This paper introduces into the field and provides a personal view. Also, related concepts like macrocognition or operative intelligence will be explained in this context. Two examples for the assessment of CPS, Tailorshop and MicroDYN, are presented to illustrate the concept by means of their measurement devices. Also, the relation of complex cognition and emotion in the (...)
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  44.  45
    (5 other versions)Complexity.Marie I. Kaiser - 2013 - In Dubitzsky, Wolkenhauer, Cho & Yokota (eds.), Encyclopedia of Systems Biology. Springer. pp. 456-460.
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  45. Complex Systems Biology.Roberto Serra - 2012 - In Vincenzo Fano, Enrico Giannetto, Giulia Giannini & Pierluigi Graziani (eds.), Complessità e Riduzionismo. ISONOMIA - Epistemologica Series Editor. pp. 100-107.
    The term “Complex Systems Biology” was introduced a few years ago [Kaneko, 2006] and, although not yet of widespread use, it seems particularly well suited to indicate an approach to biology which is well rooted in complex systems science. Although broad generalizations are always dangerous, it is safe to state that mainstream biology has been largely dominated by a gene-centric view in the last decades, due to the success of molecular biology. So the one gene - one trait approch, which (...)
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  46. Cognitive and Computational Complexity: Considerations from Mathematical Problem Solving.Markus Pantsar - 2019 - Erkenntnis 86 (4):961-997.
    Following Marr’s famous three-level distinction between explanations in cognitive science, it is often accepted that focus on modeling cognitive tasks should be on the computational level rather than the algorithmic level. When it comes to mathematical problem solving, this approach suggests that the complexity of the task of solving a problem can be characterized by the computational complexity of that problem. In this paper, I argue that human cognizers use heuristic and didactic tools and thus engage in cognitive (...)
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  47. The complexity of science.H. P. P. Lotter - 1999 - Koers 64 (4):499-520.
    In this article I present an alternative philosophy of science based on ideas drawn from the study of complex adaptive systems. As a result of the spectacular expansion in scientific disciplines, the number of scientists and scientific institutions in the twentieth century, I believe science can be characterised as a complex system. I want to interpret the processes of science through which scientists themselves determine what counts as good science. This characterisation of science as a complex system can give an (...)
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  48. The complex nonlinear thinking: Edgar Morin's demand of a reform of thinking and the contribution of synergetics.Helena Knyazeva - 2004 - World Futures 60 (5 & 6):389 – 405.
    Main principles of the complex nonlinear thinking which are based on the notions of the modern theory of evolution and self-organization of complex systems called also synergetics are under discussion in this article. The principles are transdisciplinary, holistic, and oriented to a human being. The notions of system complexity, nonlinearity of evolution, creative chaos, space-time definiteness of structure-attractors of evolution, resonant influences, nonlinear and soft management are here of great importance. In this connection, a prominent contribution made to system (...)
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  49. Complex, Dynamic and Contingent Social Processes as Patterns of Decision-Making Events – Philosophical and Mathematical Foundations.Bruno da Rocha Braga - forthcoming - European Journal of Pragmatism and American Philosophy.
    This work presents a post-positivist research framework to explain any surprising fact in the evolutionary path of a complex, dynamic and contingent social phenomenon. Primarily, it reconciles the ontological and epistemological assumptions of Critical Realism with the principles of American Pragmatism. Then, the research approach is presented: theoretical propositions about a social structure are translated into a set of grammar rules that acknowledges a pattern of sequences of events of either individual action or social interaction between actors within a real (...)
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  50. Collapsing the Complicated/Complex Distinction: It’s Complexity all the Way Down.Ragnar van der Merwe - 2023 - Interdisciplinary Description of Complex Systems 21 (1):1-17.
    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.
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