Results for 'Neutrosophic Causal Closure Principle'

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  1. (1 other version)The Fluid Margin between Physical Causal Closure and Non-Physical Causal Closure, extended to The Neutrosophic Causal Closure Principle.Florentin Smarandache - manuscript
    We plead for a fluid margin, or mixed/indeterminate buffer zone, between Physical and Non-Physical Causal Closures, and for a Neutrosophic Causal Closure Principle claiming that the chances of all physical effects are determined by their prior partially physical and partially non-physical causes.
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  2. Causal closure principles and emergentism.E. J. Lowe - 2000 - Philosophy 75 (294):571-586.
    Causal closure arguments against interactionist dualism are currently popular amongst physicalists. Such an argument appeals to some principles of the causal closure of the physical, together with certain other premises, to conclude that at least some mental events are identical with physical events. However, it is crucial to the success of any such argument that the physical causal closure principle to which it appeals is neither too strong nor too weak by certain standards. (...)
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  3. (1 other version)On a Loophole in Causal Closure.Johan Gamper - 2017 - Philosophia 45 (2):631-636.
    Standard definitions of causal closure focus on where the causes in question are. In this paper, the focus is changed to where they are not. Causal closure is linked to the principle that no cause of another universe causes an event in a particular universe. This view permits the one universe to be affected by the other via an interface. An interface between universes can be seen as a domain that violates the suggested account of (...)
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  4. Closing in on Causal Closure.Robert K. Garcia - 2014 - Journal of Consciousness Studies 21 (1-2):96-109.
    I examine the meaning and merits of a premise in the Exclusion Argument, the causal closure principle that all physical effects have physical causes. I do so by addressing two questions. First, if we grant the other premises, exactly what kind of closure principle is required to make the Exclusion Argument valid? Second, what are the merits of the requisite closure principle? Concerning the first, I argue that the Exclusion Argument requires a strong, (...)
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  5. No Good Arguments for Causal Closure.Keith Buhler - 2020 - Metaphysica 21 (2):223-236.
    Many common arguments for physicalism begin with the principle that the cosmos is “causally closed.” But how good are the arguments for causal closure itself? I argue that the deductive, a priori arguments on behalf of causal closure tend to beg the question. The extant inductive arguments fare no better. They commit a sampling error or a non-sequitur, or else offer conclusions that remain compatible with causal openness. In short, we have no good arguments (...)
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  6. Closure as a Stance.Dolores G. Morris - manuscript
    The acceptance of causal closure has had a profoundly limiting effect on the philosophical treatment of sui generis mental causation in recent decades. Philosophical treatments of special divine action have been likewise hampered by a widespread commitment to closure. If fundamental reality is as closure tells us it is, then nonphysical minds—human and divine— are either causally impotent or redundant. In this paper, I reject this limitation as baseless. Specifically, I will show how Hempel’s dilemma poses (...)
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  7. On the causal completeness of physics.Agustín Vicente - 2006 - International Studies in the Philosophy of Science 20 (2):149 – 171.
    According to an increasing number of authors, the best, if not the only, argument in favour of physicalism is the so-called 'overdetermination argument'. This argument, if sound, establishes that all the entities that enter into causal interactions with the physical world are physical. One key premise in the overdetermination argument is the principle of the causal closure of the physical world, said to be supported by contemporary physics. In this paper, I examine various ways in which (...)
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  8. Difference-Making, Closure and Exclusion.Brad Weslake - 2017 - In Helen Beebee, Christopher Hitchcock & Huw Price (eds.), Making a Difference: Essays on the Philosophy of Causation. Oxford: Oxford University Press. pp. 215-231.
    Consider the following causal exclusion principle: For all distinct properties F and F* such that F* supervenes on F, F and F* do not both cause a property G. Peter Menzies and Christian List have proven that it follows from a natural conception of causation as difference-making that this exclusion principle is not generally true. Rather, it turns out that whether the principle is true is a contingent matter. In addition, they have shown that in a (...)
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  9. Counter Closure and Knowledge despite Falsehood.Brian Ball & Michael Blome-Tillmann - 2014 - Philosophical Quarterly 64 (257):552-568.
    Certain puzzling cases have been discussed in the literature recently which appear to support the thought that knowledge can be obtained by way of deduction from a falsehood; moreover, these cases put pressure, prima facie, on the thesis of counter closure for knowledge. We argue that the cases do not involve knowledge from falsehood; despite appearances, the false beliefs in the cases in question are causally, and therefore epistemologically, incidental, and knowledge is achieved despite falsehood. We also show that (...)
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  10. Causal-logical Ontology.Johan Gamper - manuscript
    In this paper we begin categorizing a plurality of possible worlds on the basis of permitting or not permitting ontologically different things to be causally connected. We build the work on the dual principle that all universes are causally closed either because no universe causes anything outside itself or because no universe has anything in it that is caused by another universe.
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  11. Physicalism, Dualism and the Mind-Body Problem.Dolores G. Morris - 2010 - Dissertation, University of Notre Dame
    In this dissertation, I examine the implications of the problem of mental causation and what David Chalmers has dubbed the “ hard problem of consciousness” for competing accounts of the mind. I begin, in Chapter One, with a critical analysis of Jaegwon Kim’s Physicalism, or Something Near Enough. (2005) There, I maintain that Kim’s ontology cannot adequately address both the problem of mental causation and the “ hard problem of consciousness.” In Chapter Two, I examine the causal pairing problem (...)
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  12. Purposeful Explanation and Causal Gaps.Stewart Goetz - 2013 - European Journal for Philosophy of Religion 5 (1):141--155.
    In this paper, I argue that a commitment to science and the methodo- logical commitment to causal closure do not require a rejection of the idea that the choices of souls explain the occurrence of certain events in the physical world. Stated slightly differently, I maintain that one can both affirm science and believe that souls causally interfere in the course of events in the physical world. Such an affirmation and belief are compatible. In short, science vis-à-vis the (...)
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  13. From Multilevel Explanation to Downward Causation.David Yates - 2024 - In Katie Robertson & Alastair Wilson (eds.), Levels of Explanation. Oxford University Press.
    The causal closure of the physical poses a familiar causal exclusion problem for the special sciences that stems from the idea that if closure is true, then fundamental physical properties do all the causal work involved in bringing about physical effects. In this paper I aim to show that the strongest causal closure principle that is not ruled out by some simple physics in fact allows for a certain kind of downward causation, (...)
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  14. Enactivism and the New Teleology: Reconciling the Warring Camps.Ralph D. Ellis - 2014 - Avant: Trends in Interdisciplinary Studies (2):173-198.
    Enactivism has the potential to provide a sense of teleology in purpose-directed action, but without violating the principles of efficient causation. Action can be distinguished from mere reaction by virtue of the fact that some systems are self-organizing. Self-organization in the brain is reflected in neural plasticity, and also in the primacy of motivational processes that initiate the release of neurotransmitters necessary for mental and conscious functions, and which guide selective attention processes. But in order to flesh out the enactivist (...)
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  15. Explaining causal closure.Justin Tiehen - 2015 - Philosophical Studies 172 (9):2405-2425.
    The physical realm is causally closed, according to physicalists like me. But why is it causally closed, what metaphysically explains causal closure? I argue that reductive physicalists are committed to one explanation of causal closure to the exclusion of any independent explanation, and that as a result, they must give up on using a causal argument to attack mind–body dualism. Reductive physicalists should view dualism in much the way that we view the hypothesis that unicorns (...)
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  16. Einige Bemerkungen zum Prinzip der kausalen Abgeschlossenheit des Physischen.Andreas Hüttemann - 2013 - In Michel Jan G. & Münster Gernot (eds.), Die Suche nach dem Geist. Münster: Brill/mentis. pp. 35-53.
    The principle of the causal closure of the physical plays a central role in the philosophy of mind, especially as a premise in arguments for physicalism. In this paper I explore what role the principle can play in the argument for physicalism and whether the evidence we have for the principle allows for such a role or function.
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  17. Emergence, Downwards Causation and the Completeness of Physics.David Yates - 2009 - Philosophical Quarterly 59 (234):110-131.
    The 'completeness of physics' is the key premise in the causal argument for physicalism. Standard formulations of it fail to rule out emergent downwards causation. I argue that it must do this if it is tare in a valid causal argument for physicalism. Drawing on the notion of conferring causal power, I formulate a suitable principle, 'strong completeness'. I investigate the metaphysical implications of distinguishing this principle from emergent downwards causation, and I argue that categoricalist (...)
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  18. Summary of "Elements of Mind" and Replies to Critics.Tim Crane - 2004 - Croatian Journal of Philosophy 4 (11):223-240.
    Elements of Mind (EM) has two themes, one major and one minor. The major theme is intentionality, the mind’s direction upon its objects; the other is the mind–body problem. I treat these themes separately: chapters 1, and 3–5 are concerned with intentionality, while chapter 2 is about the mind–body problem. In this summary I will first describe my view of the mind–body problem, and then describe the book’s main theme. Like many philosophers, I see the mind–body problem as containing two (...)
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  19. (1 other version)Grounding Causal Closure.Justin Tiehen - 2015 - Pacific Philosophical Quarterly 96 (3):501-522.
    What does it mean to say that mind-body dualism is causally problematic in a way that other mind-body theories, such as the psychophysical type identity theory, are not? After considering and rejecting various proposals, I advance my own, which focuses on what grounds the causal closure of the physical realm. A metametaphysical implication of my proposal is that philosophers working without the notion of grounding in their toolkit are metaphysically impoverished. They cannot do justice to the thought, encountered (...)
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  20. Formal Theology.Johan Gamper - manuscript
    Ontology and theology cannot be combined if ontology excludes non physical causes. This paper examines some possibilities for ontology to be combined with theology in so far as non physical causes are permitted. The paper builds on metaphysical findings that shows that separate ontological domains can interact causally indirectly via interfaces. As interfaces are not universes a first universe is allowed to be caused by an interface without violating the principle of causal closure of any universe. Formal (...)
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  21. The Two Selves: Their Metaphysical Commitments and Functional Independence.Stan Klein - 2014 - Oxford University Press.
    The Two Selves takes the position that the self is not a "thing" easily reduced to an object of scientific analysis. Rather, the self consists in a multiplicity of aspects, some of which have a neuro-cognitive basis (and thus are amenable to scientific inquiry) while other aspects are best construed as first-person subjectivity, lacking material instantiation. As a consequence of their potential immateriality, the subjective aspect of self cannot be taken as an object and therefore is not easily amenable to (...)
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  22. L'accointance entre omniscience et omnipotence.Matthias Michel - forthcoming - Klesis.
    Introspection is the capacity by which we know our own conscious mental states. Several theories aim to explain it. According to acquaintance theory, we know our experiences by being acquainted with them. Acquaintance is non-causal, non-inferential, and non-observational. I present a dilemma for the acquaintance theory of introspection. Either subjects are always acquainted with all their experiences; or some attentional mechanism selects the relevant experiences (or aspects of experiences) for introspection. The first option is implausible: it implies that subjects (...)
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  23. Retro-Closure Principle and Omniscience.Ciro De Florio & Frigerio Aldo - 2023 - Dialectica 77 (3):1-28.
    Todd and Rabern (2021) have argued that if we assume that future contingents are untrue and if we accept the Retro-closure principle (???? → PF(????)), then the existence of a temporal omniscient entity becomes metaphysically impossible. Since the truth of a metaphysical and theological theory should not be dependent on questions of temporal semantics, Todd and Rabern conclude that, if one wishes to maintain that future contingents are untrue, one must abandon the Retro-closure principle. The aim (...)
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  24. Coherence of Substance Dualism.Seyyed Jaaber Mousavirad - 2023 - International Philosophical Quarterly 63 (1):33-42.
    Many contemporary philosophers of mind disagree with substance dualism, saying that despite the failure of physical theories of mind, substance dualism cannot be advocated, because it faces more serious problems than physical theories, lacking compatibility with philosophical arguments and scientific evidence. Regardless of the validity of the arguments in support of substance dualism, it is demonstrated in this article that this theory is coherent, with no philosophical or scientific problems. The main arguments of opponents of substance dualism are explained and (...)
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  25. Mentality and Object: Computational and Cognitive Diachronic Emergence.Ekin Erkan - 2020 - Cosmos and History : The Journal of Natural and Social Philosophy 20 (2):296-356.
    Espousing non-reductive physicalism, how do we pick out the specific relevant physical notion(s) from physical facts, specifically in relation to phenomenal experience? Beginning with a historical review of Gilbert Ryle’s behaviorism and moving through Hilary Putnam’s machine-state functionalism and Wilfrid Sellars’ inferential framework, up to more contemporaneous computationalist- and cognitivist-functionalism (Gualtiero Piccinini), we survey accounts of mentality that countenance the emergence of mental states vide input- and output-scheme. Ultimately arriving at the conclusion that functionalism cannot account for problems such as (...)
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  26. Epistemic closure principles.John M. Collins - 2006 - Internet Encyclopedia of Philosophy.
    This is an encyclopedia article about epistemic closure principles. The article explains what they are, their various philosophical uses, how they are argued for or against, and provides an overview of the related literature.
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  27. Overdetermination and Causal Closure: A Defense of the Causal Argument for Physicalism.Alyssa Ney - 2022 - ProtoSociology 39:35-50.
    Among the arguments that have been proposed for physicalism, the “causal argument” is widely taken to be the most compelling. Justin Tiehen (2015) has raised an interesting objection to this argument that takes the form of a dilemma. Tiehen’s ultimate conclusion is that at best, the causal argument is circular and so its premises cannot provide support for its conclusion, physicalism. The aim of the present paper is to respond to Tiehen’s objection in order to provide a defense (...)
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  28. Contradictory Belief and Epistemic Closure Principles.Bryan Frances - 1999 - Mind and Language 14 (2):203–226.
    Kripke’s puzzle has puts pressure on the intuitive idea that one can believe that Superman can fly without believing that Clark Kent can fly. If this idea is wrong then many theories of belief and belief ascription are built from faulty data. I argue that part of the proper analysis of Kripke’s puzzle refutes the closure principles that show up in many important arguments in epistemology, e.g., if S is rational and knows that P and that P entails Q, (...)
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  29. Knowledge Closure and Knowledge Openness: A Study of Epistemic Closure Principles.Levi Spectre - 2009 - Stockholm: Stockholm University.
    The principle of epistemic closure is the claim that what is known to follow from knowledge is known to be true. This intuitively plausible idea is endorsed by a vast majority of knowledge theorists. There are significant problems, however, that have to be addressed if epistemic closure – closed knowledge – is endorsed. The present essay locates the problem for closed knowledge in the separation it imposes between knowledge and evidence. Although it might appear that all that (...)
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  30. (1 other version)Questioning the Causal Inheritance Principle.Ivar Hannikainen - 2010 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 25 (3):261-277.
    Mental causation, though a forceful intuition embedded in our commonsense psychology, is difficult to square with the rest of commitments of physicalism about the mind. Advocates of mental causation have found solace in the causal inheritance principle, according to which the mental properties of mental statesshare the causal powers of their physical counterparts. In this paper, I present a variety of counterarguments to causal inheritance and conclude that the conditions for causal inheritance are stricter than (...)
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  31. Default Assumption, Hinge Commitment and the Closure Principle.Jie Gao - 2020 - Journal of Dialectics of Nature 42 (5):17-22.
    This paper focuses on a potential problem with Sosa’s theory of default assumption, viz., the alleged incompatibility of this theory with the closure principle. Given the similarity between the notion of default assumption and Wittgenstein’s notion of hinge commitment, I suggest that two influential hinge epistemologies including Wright’s entitlement theory and Pritchard’s non-belief theory provide resources for possible solutions to the problem. I argue that default assumption should be classified as acceptance and hence as a non-doxastic propositional attitude. (...)
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  32. A Hole Without the Whole: Hylomorphism Against the Causal Closure of the Physical.João Pinheiro da Silva - 2023 - Dissertation, Central European University
    Howard Robinson has criticized the contemporary revival of hylomorphism in analytic philosophy for being inconsistent with the causal closure of the physical (CCP) and, by consequence, modern science. This thesis critically evaluates Robinson's criticism. We firstly analyze Robinson’s argument and reinforce it with Jaegwon Kim's causal overdetermination argument. We then turn to CCP itself, settling its exact meaning and highlighting its problems. We argue that CCP’s deferral of the meaning of “physical” to physics renders it false - (...)
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  33. On the naturalisation of teleology: self-organisation, autopoiesis and teleodynamics.Miguel Garcia-Valdecasas - 2022 - Adaptive Behavior 30 (2):103-117.
    In recent decades, several theories have claimed to explain the teleological causality of organisms as a function of self-organising and self-producing processes. The most widely cited theories of this sort are variations of autopoiesis, originally introduced by Maturana and Varela. More recent modifications of autopoietic theory have focused on system organisation, closure of constraints and autonomy to account for organism teleology. This article argues that the treatment of teleology in autopoiesis and other organisation theories is inconclusive for three reasons: (...)
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  34. On Neutrosophic Semi Alpha Open Sets.Qays Hatem Imran, F. Smarandache, Riad K. Al-Hamido & R. Dhavaseelan - 2017 - Neutrosophic Sets and Systems 18:37-42.
    In this paper, we presented antoher concept of neutrosophic open sets called neutrosophic semi-α-open sets and studied their fundamental poperties in neutrosophic topological spaces. We also present neutrospohic semi-α-interior and neutrosophic semi-α-closure and study some of their fundamental properties.
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  35. The Principle of Causality and the Notion of Participation: Deepening into Fabro’s Defense of this Principle.Andres Ayala - 2024 - The Incarnate Word 11 (1):81-99.
    Given the importance of the principle of causality for the demonstration of God’s existence, this paper attempts to justify the evidence and necessity of the principle of causality, by following Fr. Fabro’s Thomistic defense—based on the notion of participation—but adding a particular emphasis on the notion of “being which is not per se,” this latter as an explanatory notion of the notion of “being which is by participation.” The introductory remarks touch upon two misunderstandings regarding the notion of (...)
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  36. THE PHILOSOPHY OF SUPERDETERMINISM AND THE PRINCIPLE OF CAUSALITY.John Bannan - manuscript
    The philosophy of superdeterminism is based on a single scientific fact about the universe, namely that cause and effect in physics are not real. In 2020, accomplished Swedish theoretical physicist, Dr. Johan Hansson published a physics proof using Albert Einstein’s Theory of Special Relativity that our universe is superdeterministic meaning a predetermined static block universe without cause and effect in physics. Some argue that Special Relativity is premised on the principle of causality, and therefore, Dr. Hansson’s use of Special (...)
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  37. A strategy for assessing closure.Peter Murphy - 2006 - Erkenntnis 65 (3):365 - 383.
    This paper looks at an argument strategy for assessing the epistemic closure principle. This is the principle that says knowledge is closed under known entailment; or (roughly) if S knows p and S knows that p entails q, then S knows that q. The strategy in question looks to the individual conditions on knowledge to see if they are closed. According to one conjecture, if all the individual conditions are closed, then so too is knowledge. I give (...)
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  38. A defence of the principle of information closure against the sceptical objection.Luciano Floridi - 2013 - In Hanne Andersen, Dennis Dieks, Wenceslao J. Gonzalez, Thomas Uebel & Gregory Wheeler (eds.), New Challenges to Philosophy of Science. Springer Verlag. pp. 35--47.
    The topic of this paper may be introduced by fast zooming in and out of the philosophy of information. In recent years, philosophical interest in the nature of information has been increasing steadily. This has led to a focus on semantic information, and then on the logic of being informed, which has attracted analyses concentrating both on the statal sense in which S holds the information that p (this is what I mean by logic of being informed in the rest (...)
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  39. The Universe Didn't Begin Uncaused: A New Argument for the Kalām Causal Principle.David Lu - forthcoming - Faith and Philosophy.
    The causal principle of the Kalām cosmological argument—Everything that begins to exist has a cause—remains controversial. One common objection is that while the principle may apply to things within the universe, it does not apply to the universe itself. Here, I argue that if the universe began uncaused, then there is an extremely high probability that the universe began just moments ago with the appearance of age. However, I further argue that the general agreement of independent estimates (...)
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  40. Safety, Closure, and Extended Methods.Simon Goldstein & John Hawthorne - 2024 - Journal of Philosophy 121 (1):26-54.
    Recent research has identified a tension between the Safety principle that knowledge is belief without risk of error, and the Closure principle that knowledge is preserved by competent deduction. Timothy Williamson reconciles Safety and Closure by proposing that when an agent deduces a conclusion from some premises, the agent’s method for believing the conclusion includes their method for believing each premise. We argue that this theory is untenable because it implies problematically easy epistemic access to one’s (...)
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  41. The Skeptical Paradox and the Generality of Closure (and other principles).Yuval Avnur - 2022 - In Duncan Pritchard & Matthew Jope (ed.), New Perspectives on Epistemic Closure. Routledge.
    In this essay I defend a solution to a skeptical paradox. The paradox I focus on concerns epistemic justification (rather than knowledge), and skeptical scenarios that entail that most of our ordinary beliefs about the external world are false. This familiar skeptical paradox hinges on a “closureprinciple. The solution is to restrict closure, despite its first appearing as a fully general principle, so that it can no longer give rise to the paradox. This has some (...)
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  42. Causality as a partitioning principle for upper ontologies.Jobst Landgrebe - 2021 - Journal of Knowledge Structures and Systems 2 (2):36-40.
    In his “Bridging mainstream and formal ontology”, Augusto (2021) gives an excellent analysis of Dietrich von Freiberg’s idea of using causality as a partitioning principle for upper ontologies. For this Dietrich’s notion of extrinsic principles is crucial. The question whether causation can and indeed should be used as a partitioning principle for ontologies is discussed using mathematics and physics as examples.
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  43. Set existence principles and closure conditions: unravelling the standard view of reverse mathematics.Benedict Eastaugh - 2019 - Philosophia Mathematica 27 (2):153-176.
    It is a striking fact from reverse mathematics that almost all theorems of countable and countably representable mathematics are equivalent to just five subsystems of second order arithmetic. The standard view is that the significance of these equivalences lies in the set existence principles that are necessary and sufficient to prove those theorems. In this article I analyse the role of set existence principles in reverse mathematics, and argue that they are best understood as closure conditions on the powerset (...)
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  44. Epistemic Closure in Folk Epistemology.James R. Beebe & Jake Monaghan - 2018 - In Tania Lombrozo, Joshua Knobe & Shaun Nichols (eds.), Oxford Studies in Experimental Philosophy, Volume Two. Oxford University Press. pp. 38-70.
    We report the results of four empirical studies designed to investigate the extent to which an epistemic closure principle for knowledge is reflected in folk epistemology. Previous work by Turri (2015a) suggested that our shared epistemic practices may only include a source-relative closure principle—one that applies to perceptual beliefs but not to inferential beliefs. We argue that the results of our studies provide reason for thinking that individuals are making a performance error when their knowledge attributions (...)
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  45. The Uncertainty Principle and Non-Violation of Causality in Islamic Philosophy (The Critical Analysis Based on Avicenna and Allameh Tabataba'i's view).Mohamad Mahdi Davar, Ghasem Ali Kouchnani & Mohammad Ali Kouchnani - 2024 - History of Islamic Philosophy 3 (9):29-46.
    The principle of causality is one of the most fundamental principles that has been discovered in the history of philosophy and science. Several foundations revolve around this concept. The importance of this principle in classical physics lies in giving physicists the ability to predict phenomena. Furthermore, due to causality is recognized as a fundamental principle in classical physics. With the introduction of the principle of uncertainty, the principle of causality is empirically called into question. Because (...)
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  46. Closure, deduction and hinge commitments.Xiaoxing Zhang - 2021 - Synthese 198 (Suppl 15):3533-3551.
    Duncan Pritchard recently proposed a Wittgensteinian solution to closure-based skepticism. According to Wittgenstein, all epistemic systems assume certain truths. The notions that we are not disembodied brains, that the Earth has existed for a long time and that one’s name is such-and-such all function as “hinge commitments.” Pritchard views a hinge commitment as a positive propositional attitude that is not a belief. Because closure principles concern only knowledge-apt beliefs, they do not apply to hinge commitments. Thus, from the (...)
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  47. Intuitive Closure, Transmission Failure, and Doxastic justification.Matthew Jope - 2022 - In Duncan Pritchard & Matthew Jope (ed.), New Perspectives on Epistemic Closure. Routledge.
    In response to the claim that certain epistemically defective inferences such as Moore’s argument lead us to the conclusion that we ought to abandon closure, Crispin Wright suggests that we can avoid doing so by distinguishing it from a stronger principle, namely transmission. Where closure says that knowledge of a proposition is a necessary condition on knowledge of anything one knows to entail it, transmission makes a stronger claim, saying that by reasoning deductively from known premises one (...)
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  48. The Hardest Paradox for Closure.Martin Smith - 2022 - Erkenntnis 87 (4):2003-2028.
    According to the principle of Conjunction Closure, if one has justification for believing each of a set of propositions, one has justification for believing their conjunction. The lottery and preface paradoxes can both be seen as posing challenges for Closure, but leave open familiar strategies for preserving the principle. While this is all relatively well-trodden ground, a new Closure-challenging paradox has recently emerged, in two somewhat different forms, due to Backes :3773–3787, 2019a) and Praolini :715–726, (...)
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  49. Epistemic closure.Peter Baumann - 2010 - In Sven Bernecker & Duncan Pritchard (eds.), The Routledge Companion to Epistemology. New York: Routledge. pp. 597--608.
    This article gives an overview over different principles of epistemic closure, their attractions and their problems.
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  50. A closer look at closure scepticism.Michael Blome-Tillmann - 2006 - Proceedings of the Aristotelian Society (Paperback) 106 (3):381-390.
    The most prominent arguments for scepticism in modern epistemology employ closure principles of some kind. To begin my discussion of such arguments, consider Simple Knowledge Closure (SKC): (SKC) (Kxt[p] ∧ (p → q)) → Kxt[q].1 Assuming its truth for the time being, the sceptic can use (SKC) to reason from the two assumptions that, firstly, we don’t know ¬sh and that, secondly, op entails ¬sh to the conclusion that we don’t know op, where ‘op’ and ‘sh’ are shorthand (...)
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