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  1. Emergence: Core ideas and issues.Jaegwon Kim - 2006 - Synthese 151 (3):547-559.
    This paper explores the fundamental ideas that have motivated the idea of emergence and the movement of emergentism. The concept of reduction, which lies at the heart of the emergence idea is explicated, and it is shown how the thesis that emergent properties are irreducible gives a unified account of emergence. The paper goes on to discuss two fundamental unresolved issues for emergentism. The first is that of giving a “positive” characterization of emergence; the second is to give a coherent (...)
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  • (1 other version)Metaphysical emergence: Weak and Strong.Jessica Wilson - 2013 - In Stephen Mumford & Matthew Tugby, Metaphysics and Science. Oxford: Oxford University Press. pp. 251-306.
    Motivated by the seeming structure of the sciences, metaphysical emergence combines broadly synchronic dependence coupled with some degree of ontological and causal autonomy. Reflecting the diverse, frequently incompatible interpretations of the notions of dependence and autonomy, however, accounts of emergence diverge into a bewildering variety. Here I argue that much of this apparent diversity is superficial. I first argue, by attention to the problem of higher-level causation, that two and only two strategies for addressing this problem accommodate the genuine emergence (...)
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  • Emergent properties.Timothy O'Connor - 1994 - American Philosophical Quarterly 31 (2):91-104.
    All organised bodies are composed of parts, similar to those composing inorganic nature, and which have even themselves existed in an inorganic state; but the phenomena of life, which result from the juxtaposition of those parts in a certain manner, bear no analogy to any of the effects which would be produced by the action of the component substances considered as mere physical agents. To whatever degree we might imagine our knowledge of the properties of the several ingredients of a (...)
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  • The Real Combination Problem: Panpsychism, Micro-Subjects, and Emergence.Sam Coleman - 2013 - Erkenntnis 79 (1):19-44.
    Taking their motivation from the perceived failure of the reductive physicalist project concerning consciousness, panpsychists ascribe subjectivity to fundamental material entities in order to account for macro-consciousness. But there exists an unresolved tension within the mainstream panpsychist position, the seriousness of which has yet to be appreciated. I capture this tension as a dilemma, and offer advice to panpsychists on how to resolve it. The dilemma is as follows: Panpsychists take the micro-material realm to feature phenomenal properties, plus micro-subjects to (...)
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  • Panpsychism and Causation: A New Argument and a Solution to the Combination Problem.Hedda Hassel Mørch - 2014 - Dissertation, Oslo
    Panpsychism is the view that every concrete and unified thing has some form of phenomenal consciousness or experience. It is an age-old doctrine, which, to the surprise of many, has recently taken on new life. In philosophy of mind, it has been put forth as a simple and radical solution to the mind–body problem (Chalmers 1996, 2003;Strawson 2006; Nagel 1979, 2012). In metaphysics and philosophy of science, it has been put forth as a solution to the problem of accounting for (...)
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  • Emergent Properties.Hong Yu Wong - 2015 - Stanford Encyclopedia of Philosophy.
    Emergence is a notorious philosophical term of art. A variety of theorists have appropriated it for their purposes ever since George Henry Lewes gave it a philosophical sense in his 1875 Problems of Life and Mind. We might roughly characterize the shared meaning thus: emergent entities (properties or substances) ‘arise’ out of more fundamental entities and yet are ‘novel’ or ‘irreducible’ with respect to them. (For example, it is sometimes said that consciousness is an emergent property of the brain.) Each (...)
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  • The Search for Ontological Emergence.Michael Silberstein & John McGeever - 1999 - Philosophical Quarterly 49 (195):201-214.
    We survey and clarify some recent appearances of the term ‘emergence’. We distinguish epistemological emergence, which is merely a limitation of descriptive apparatus, from ontological emergence, which should involve causal features of a whole system not reducible to the properties of its parts, thus implying the failure of part/whole reductionism and of mereological supervenience for that system. Are there actually any plausible cases of the latter among the numerous and various mentions of ‘emergence’ in the recent literature? Quantum mechanics seems (...)
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  • Emergent Physics and Micro-Ontology.Margaret Morrison - 2012 - Philosophy of Science 79 (1):141-166.
    This article examines ontological/dynamical aspects of emergence, specifically the micro-macro relation in cases of universal behavior. I discuss superconductivity as an emergent phenomenon, showing why microphysical features such as Cooper pairing are not necessary for deriving characteristic properties such as infinite conductivity. I claim that the difficulties surrounding the thermodynamic limit in explaining phase transitions can be countered by showing how renormalization group techniques facilitate an understanding of the physics behind the mathematics, enabling us to clarify epistemic and ontological aspects (...)
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  • Ontological priority, fundamentality and monism.Matteo Morganti - 2009 - Dialectica 63 (3):271-288.
    In recent work, the interrelated questions of whether there is a fundamental level to reality, whether ontological dependence must have an ultimate ground, and whether the monist thesis should be endorsed that the whole universe is ontologically prior to its parts have been explored with renewed interest. Jonathan Schaffer has provided arguments in favour of 'priority monism' in a series of articles (2003, 2004, 2007a, 2007b, forthcoming). In this paper, these arguments are analysed, and it is claimed that they are (...)
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  • (1 other version)Right out of the box: how to situate metaphysics of science in relation to other metaphysical approaches.Alexandre Guay & Thomas Pradeu - 2020 - Synthese 197 (5):1847-1866.
    Several advocates of the lively field of “metaphysics of science” have recently argued that a naturalistic metaphysics should be based solely on current science, and that it should replace more traditional, intuition-based, forms of metaphysics. The aim of the present paper is to assess that claim by examining the relations between metaphysics of science and general metaphysics. We show that the current metaphysical battlefield is richer and more complex than a simple dichotomy between “metaphysics of science” and “traditional metaphysics”, and (...)
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  • The Metaphysics of Emergence.Hong Yu Wong - 2005 - Noûs 39 (4):658 - 678.
    The following framework of theses, roughly hewn, shapes contemporary discussion of the problem of mental causation: (1) Non-Identity of the Mental and the Physical Mental properties and states cannot be identified with specific physical properties and states. (2) Causal Closure (Completeness) of the Physical The objective probability of every physical event is fixed by prior physical events and laws alone. (This thesis is sometimes expressed in terms of explanation: In tracing the causal history of any physical event, one need not (...)
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  • The metaphysics of emergence.Timothy O'Connor - 2005 - Noûs 39 (4):658-678.
    The objective probability of every physical event is fixed by prior physical events and laws alone. (This thesis is sometimes expressed in terms of explanation: In tracing the causal history of any physical event, one need not advert to any non-physical events or laws. To the extent that there is any explanation available for a physical event, there is a complete explanation available couched entirely in physical vocabulary. We prefer the probability formulation, as it should be acceptable to any physicalist, (...)
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  • What is a hologenomic adaptation? Emergent individuality and inter-identity in multispecies systems.Javier Suárez & Vanessa Triviño - 2020 - Frontiers in Psychology 187 (11).
    Contemporary biological research has suggested that some host–microbiome multispecies systems (referred to as “holobionts”) can in certain circumstances evolve as unique biological individual, thus being a unit of selection in evolution. If this is so, then it is arguably the case that some biological adaptations have evolved at the level of the multispecies system, what we call hologenomic adaptations. However, no research has yet been devoted to investigating their nature, or how these adaptations can be distinguished from adaptations at the (...)
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  • A metaphysical approach to holobiont individuality: Holobionts as emergent individuals.Javier Suárez & Vanessa Triviño - 2019 - Quaderns de Filosofia 6 (1):59-76.
    Holobionts are symbiotic assemblages composed by a host plus its microbiome. The status of holobionts as individuals has recently been a subject of continuous controversy, which has given rise to two main positions: on the one hand, holobiont advocates argue that holobionts are biological individuals; on the other, holobiont detractors argue that they are just mere chimeras or ecological communities, but not individuals. Both parties in the dispute develop their arguments from the framework of the philosophy of biology, in terms (...)
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  • A new look at emergence. Or when after is different.Alexandre Guay & Olivier Sartenaer - 2016 - European Journal for Philosophy of Science 6 (2):297-322.
    In this paper, we put forward a new account of emergence called “transformational emergence”. Such an account captures a variety of emergence that can be considered as being diachronic and weakly ontological. The fact that transformational emergence actually constitutes a genuine form of emergence is motivated. Besides, the account is free of traditional problems surrounding more usual, synchronic versions of emergence, and it can find a strong empirical support in a specific physical phenomenon, the fractional quantum Hall effect, which has (...)
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  • The Dynamics of Group Cognition.S. Orestis Palermos - 2016 - Minds and Machines 26 (4):409-440.
    The aim of this paper is to demonstrate that the postulation of irreducible, distributed cognitive systems is necessary for the successful explanatory practice of cognitive science and sociology. Towards this end, and with an eye specifically on the phenomenon of distributed cognition, the debate over reductionism versus emergence is examined from the perspective of Dynamical Systems Theory. The motivation for this novel approach is threefold. Firstly, DST is particularly popular amongst cognitive scientists who work on modelling collective behaviors. Secondly, DST (...)
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  • Physical emergence, diachronic and synchronic.Alexander Rueger - 2000 - Synthese 124 (3):297-322.
    This paper explicates two notions of emergencewhich are based on two ways of distinguishinglevels of properties for dynamical systems.Once the levels are defined, the strategies ofcharacterizing the relation of higher level to lower levelproperties as diachronic and synchronic emergenceare the same. In each case, the higher level properties aresaid to be emergent if they are novel or irreducible with respect to the lower level properties. Novelty andirreducibility are given precise meanings in terms of the effectsthat the change of a bifurcation (...)
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  • Forms of emergent interaction in General Process Theory.Johanna Seibt - 2009 - Synthese 166 (3):479-512.
    General Process Theory (GPT) is a new (non-Whiteheadian) process ontology. According to GPT the domains of scientific inquiry and everyday practice consist of configurations of ‘goings-on’ or ‘dynamics’ that can be technically defined as concrete, dynamic, non-particular individuals called general processes. The paper offers a brief introduction to GPT in order to provide ontological foundations for research programs such as interactivism that centrally rely on the notions of ‘process,’ ‘interaction,’ and ‘emergence.’ I begin with an analysis of our common sense (...)
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  • Must strong emergence collapse?Umut Baysan & Jessica Wilson - 2017 - Philosophica 91 (1):49--104.
    Some claim that the notion of strong emergence as involving ontological or causal novelty makes no sense, on grounds that any purportedly strongly emergent features or associated powers 'collapse', one way or another, into the lower-level base features upon which they depend. Here we argue that there are several independently motivated and defensible means of preventing the collapse of strongly emergent features or powers into their lower-level bases, as directed against a conception of strongly emergent features as having fundamentally novel (...)
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  • Nonreductive individualism: Part I—supervenience and wild disjunction.R. Keith Sawyer - 2002 - Philosophy of the Social Sciences 32 (4):537-559.
    The author draws on arguments from contemporary philosophy of mind to provide an argument for sociological collectivism. This argument for nonreductive individualism accepts that only individuals exist but rejects methodological individualism. In Part I, the author presents the argument for nonreductive individualism by working through the implications of supervenience, multiple realizability, and wild disjunction in some detail. In Part II, he extends the argument to provide a defense for social causal laws, and this account of social causation does not require (...)
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  • The curious case of spacetime emergence.Sam Baron - 2019 - Philosophical Studies 177 (8):2207-2226.
    Work in quantum gravity suggests that spacetime is not fundamental. Rather, spacetime emerges from an underlying, non-spatiotemporal reality. After clarifying the type of emergence at issue, I argue that standard conceptions of emergence available in metaphysics won’t work for the emergence of spacetime. I go on to consider spacetime functionalism as a way to make sense of spacetime emergence. I argue that a functionalist approach to spacetime modelled on mental state functionalism is not a viable alternative to the standard conception (...)
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  • Ontological reduction and molecular structure.Robin Findlay Hendry - 2010 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 41 (2):183-191.
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  • Mental causation as joint causation.Chiwook Won - 2021 - Synthese 198 (5):4917-4937.
    This paper explores and defends the idea that mental properties and their physical bases jointly cause their physical effects. The paper evaluates the view as an emergentist response to the exclusion problem, comparing it with a competing nonreductive physicalist solution, the compatibilist solution, and argues that the joint causation view is more defensible than commonly supposed. Specifically, the paper distinguishes two theses of closure, Strong Closure and Weak Closure, two causal exclusion problems, the overdetermination problem and the supervenience problem, and (...)
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  • Reductionism, emergence, and effective field theories.Elena Castellani - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33 (2):251-267.
    In recent years, a change in attitude in particle physics has led to our understanding current quantum field theories as effective field theories. The present paper is concerned with the significance of this EFT approach, especially from the viewpoint of the debate on reductionism in science. In particular, it is a purpose of this paper to clarify how EFTs may provide an interesting case-study in current philosophical discussion on reduction, emergence and inter-level relationships in general.
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  • Ontological Emergence: How is That Possible? Towards a New Relational Ontology.Gil C. Santos - 2015 - Foundations of Science 20 (4):429-446.
    In this article I address the issue of the ontological conditions of possibility for a naturalistic notion of emergence, trying to determine its fundamental differences from the atomist, vitalist, preformationist and potentialist alternatives. I will argue that a naturalistic notion of ontological emergence can only succeed if we explicitly refuse the atomistic fundamental ontological postulate that asserts that every entity is endowed with a set of absolutely intrinsic properties, being qualitatively immutable through its extrinsic relations. Furthermore, it will be shown (...)
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  • (1 other version)Emergence, Not Supervenience.Paul Humphreys - 1997 - Philosophy of Science 64 (S4):S337-S345.
    I argue that supervenience is an inadequate device for representing relations between different levels of phenomena. I then provide six criteria that emergent phenomena seem to satisfy. Using examples drawn from macroscopic physics, I suggest that such emergent features may well be quite common in the physical realm.
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  • Emergent substance.Patrick Toner - 2008 - Philosophical Studies 141 (3):281 - 297.
    In this paper, I develop an ontological position according to which substances such as you and I have no substantial parts. The claim is not that we are immaterial souls. Nor is the claim that we are “human atoms” co-located with human organisms. It is, rather, that we are macrophysical objects that are, in the relevant sense, simple. I contend that despite initial appearances, this claim is not obviously false, and I defend it by showing how much work it can (...)
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  • Anscombe and Intentional Agency Incompatibilism.Erasmus Mayr - 2022 - Synthese 200 (3):1-23.
    In “Causality and Determination”, Anscombe stressed that, in her view, physical determinism and free action were incompatible. As the relevant passage suggests, her espousal of incompatibilism was not merely due to specific features of human ‘ethical’ freedom, but due to general features of agency, intentionality, and voluntariness. For Anscombe went on to tentatively suggest that lack of physical determination was required for the intentional conduct of animals we would not classify as ‚free‘, too. In this paper, I examine three different (...)
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  • Infinite idealizations in physics.Elay Shech - 2018 - Philosophy Compass 13 (9):e12514.
    In this essay, I provide an overview of the debate on infinite and essential idealizations in physics. I will first present two ostensible examples: phase transitions and the Aharonov– Bohm effect. Then, I will describe the literature on the topic as a debate between two positions: Essentialists claim that idealizations are essential or indispensable for scientific accounts of certain physical phenomena, while dispensabilists maintain that idealizations are dispensable from mature scientific theory. I will also identify some attempts at finding a (...)
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  • Laws, causation and dynamics at different levels.Jeremy Butterfield - 2012 - Interface Focus 2 (1):101-114.
    I have two main aims. The first is general, and more philosophical. The second is specific, and more closely related to physics. The first aim is to state my general views about laws and causation at different ”levels’. The main task is to understand how the higher levels sustain notions of law and causation that ”ride free’ of reductions to the lower level or levels. I endeavour to relate my views to those of other symposiasts. The second aim is to (...)
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  • Flat Emergence.Olivier Sartenaer - 2018 - Pacific Philosophical Quarterly 99 (S1):225-250.
    The main contention of this article is that current approaches to ontological emergence are not comprehensive, in that they share a common bias that make them blind to some conceptual space available to emergence. In this article, I devise an alternative perspective on ontological emergence called ‘flat emergence’, which is free of such a bias. The motivation is twofold: not only does flat emergence constitute another viable way to fulfill the initial emergentist promise, but it also allows for making sense (...)
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  • The Unity of Science.Jordi Cat - 2013 - Stanford Encyclopedia of Philosophy.
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  • Robustness, Diversity of Evidence, and Probabilistic Independence.Jonah N. Schupbach - 2015 - In Uskali Mäki, Stéphanie Ruphy, Gerhard Schurz & Ioannis Votsis, Recent Developments in the Philosophy of Science. Cham: Springer. pp. 305-316.
    In robustness analysis, hypotheses are supported to the extent that a result proves robust, and a result is robust to the extent that we detect it in diverse ways. But what precise sense of diversity is at work here? In this paper, I show that the formal explications of evidential diversity most often appealed to in work on robustness – which all draw in one way or another on probabilistic independence – fail to shed light on the notion of diversity (...)
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  • Emergent Powers.Michele Paolini Paoletti - 2020 - Topoi 39 (5):1031-1044.
    I shall introduce at the beginning of the paper a characterization of strong ontological emergence. According to it, roughly, something strongly emerges from some other thing iff the former depends in some respect on the latter and it some independent of it in some other respect. Afterwards, I shall present my own formulation of strong emergence, which is based on the distinction between the mere possession and the activation of a causal power. Causal powers are the entities to be primarily (...)
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  • Complex emergence and the living organization: an epistemological framework for biology.Leonardo Bich - 2012 - Synthese 185 (2):215-232.
    In this article an epistemological framework is proposed in order to integrate the emergentist thought with systemic studies on biological autonomy, which are focused on the role of organization. Particular attention will be paid to the role of the observer’s activity, especially: (a) the different operations he performs in order to identify the pertinent elements at each descriptive level, and (b) the relationships between the different models he builds from them. According to the approach sustained here, organization will be considered (...)
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  • The causal argument against component forces.Jessica Wilson - 2009 - Dialectica 63 (4):525-554.
    Do component forces exist in conjoined circumstances? Cartwright (1980) says no; Creary (1981) says yes. I'm inclined towards Cartwright's side in this matter, but find several problems with her argumentation. My primary aim here is to present a better, distinctly causal, argument against component forces: very roughly, I argue that the joint posit of component and resultant forces in conjoined circumstances gives rise to a threat of causal overdetermination, avoidance of which best proceeds via eliminativism about component forces. A secondary (...)
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  • Emergence and singular limits.Andrew Wayne - 2012 - Synthese 184 (3):341-356.
    Recent work by Robert Batterman and Alexander Rueger has brought attention to cases in physics in which governing laws at the base level “break down” and singular limit relations obtain between base- and upper-level theories. As a result, they claim, these are cases with emergent upper-level properties. This paper contends that this inference—from singular limits to explanatory failure, novelty or irreducibility, and then to emergence—is mistaken. The van der Pol nonlinear oscillator is used to show that there can be a (...)
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  • Enactive psychiatry and social integration: beyond dyadic interactions.Mads J. Dengsø - forthcoming - Phenomenology and the Cognitive Sciences:1-25.
    Enactive approaches to psychiatry have recently argued for an understanding of psychiatric conditions based within relational interactions between individuals and their environments. A central motivation for these enactive approaches is the goal of social integration: the integration of a naturalistic approach to psychiatric conditions with their broader sociocultural dimensions. One possible issue, however, is whether appeals to the autonomy and authenticity of relationally constituted enactive individuals can provide a means of adjudicating between harmful and beneficial social constraints upon individual behaviour. (...)
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  • Downward causation without foundations.Michel Bitbol - 2012 - Synthese 185 (2):233-255.
    Emergence is interpreted in a non-dualist framework of thought. No metaphysical distinction between the higher and basic levels of organization is supposed, but only a duality of modes of access. Moreover, these modes of access are not construed as mere ways of revealing intrinsic patterns of organization: They are supposed to be constitutive of them, in Kant’s sense. The emergent levels of organization, and the inter-level causations as well, are therefore neither illusory nor ontologically real: They are objective in the (...)
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  • Emergence within social systems.Kenneth Silver - 2021 - Synthese 199 (3-4):7865-7887.
    Emergence is typically discussed in the context of mental properties or the properties of the natural sciences, and accounts of emergence within these contexts tend to look a certain way. The emergent property is taken to emerge instantaneously out of, or to be proximately caused by, complex interaction of colocated entities. Here, however, I focus on the properties instantiated by the elements of certain systems discussed in social ontology, such as being a five-dollar bill or a pawn-movement, and I suggest (...)
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  • Priority Perdurantism.Jeremy W. Skrzypek - 2024 - Erkenntnis 89 (4):1555-1580.
    In this paper, I introduce a version of perdurantism called Priority Perdurantism, according to which perduring, four-dimensional objects are ontologically fundamental and the temporal parts of those objects are ontologically derivative, depending for their existence and their identity on the four-dimensional wholes of which they are parts. I argue that by switching the order of the priority relations this opens up new solutions to the too-many-thinkers problem and the personite problem – solutions that are more ontologically robust than standard maximality (...)
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  • Towards a theory of emergence for the physical sciences.Sebastian De Haro - 2019 - European Journal for Philosophy of Science 9 (3):1-52.
    I begin to develop a framework for emergence in the physical sciences. Namely, I propose to explicate ontological emergence in terms of the notion of ‘novel reference’, and of an account of interpretation as a map from theory to world. I then construe ontological emergence as the “failure of the interpretation to mesh” with an appropriate linkage map between theories. Ontological emergence can obtain between theories that have the same extension but different intensions, and between theories that have both different (...)
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  • Emergence, Reduction, and Theoretical Principles: Rethinking Fundamentalism.Margaret Morrison - 2006 - Philosophy of Science 73 (5):876-887.
    Many of the arguments against reductionism and fundamental theory as a method for explaining physical phenomena focus on the role of models as the appropriate vehicle for this task. While models can certainly provide us with a good deal of explanatory detail, problems arise when attempting to derive exact results from approximations. In addition, models typically fail to explain much of the stability and universality associated with critical point phenomena and phase transitions, phenomena sometimes referred to as "emergent." The paper (...)
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  • The Nature of Appearance in Kant’s Transcendentalism: A Seman- tico-Cognitive Analysis.Sergey L. Katrechko - 2018 - Kantian Journal 37 (3):41-55.
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  • Explanation, Emergence, and Quantum Entanglement.Andreas Hüttemann - 2005 - Philosophy of Science 72 (1):114-127.
    This paper tries to get a grip on two seemingly conflicting intuitions about reductionism in quantum mechanics. On the one hand it is received wisdom that quantum mechanics puts an end to ‘reductionism’. Quantum-entanglement is responsible for such features of quantum mechanics as holism, the failure of supervenience and emergence. While I agree with these claims I will argue that it is only part of the story. Quantum mechanics provides us with thorough-going reductionist explanations. I will distinguish two kinds of (...)
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  • A new problem for Kripkean defenses of origin theses.Sungil Han - 2024 - Asian Journal of Philosophy 3 (2):1-27.
    According to Kripke’s thesis of the necessity of origin, if an object has an origin, it necessarily has that origin. Kripke’s thesis has special cases that we may refer to as “origin theses” when applied to certain types of objects, such as humans and tables. While origin theses have intuitive plausibility, why they are true remains unclear. This paper addresses a prominent line of defense for origin theses. In a celebrated note in Naming and Necessity, Kripke briefly presented an incomplete (...)
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  • Ontology, matter and emergence.Michel Bitbol - 2007 - Phenomenology and the Cognitive Sciences 6 (3):293-307.
    “Ontological emergence” of inherent high-level properties with causal powers is witnessed nowhere. A non-substantialist conception of emergence works much better. It allows downward causation, provided our concept of causality is transformed accordingly.
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  • Irrational methods suggest indecomposability and emergence.Hamed Tabatabaei Ghomi - 2023 - European Journal for Philosophy of Science 13 (1):1-21.
    This paper offers a practical argument for metaphysical emergence. The main message is that the growing reliance on so-called irrational scientific methods provides evidence that objects of science are indecomposable and as such, are better described by metaphysical emergence as opposed to the prevalent reductionistic metaphysics. I show that a potential counterargument that science will eventually reduce everything to physics has little weight given where science is heading with its current methodological trend. I substantiate my arguments by detailed examples from (...)
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  • A Novel Approach to Emergence in Chemistry.Alexandru Manafu - 2015 - In Eric Scerri & L. McIntyre, Philosophy of Chemistry. Growth of a New Discipline. Boston Studies in the Philosophy and History of Science. Volume 306. Berlin: Springer. pp. 39-55.
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  • Reduction and emergence in the fractional quantum Hall state.Tom Lancaster & Mark Pexton - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 52 (Part B):343-357.
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