Results for 'holes'

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Bibliography: Holes in Metaphysics
  1. Holes in Spacetime: Some Neglected Essentials.Trevor Teitel - 2019 - Journal of Philosophy 116 (7):353-389.
    The hole argument purports to show that all spacetime theories of a certain form are indeterministic, including the General Theory of Relativity. The argument has given rise to an industry of searching for a metaphysics of spacetime that delivers the right modal implications to rescue determinism. In this paper, I first argue that certain prominent extant replies to the hole argument—namely, those that appeal to an essentialist doctrine about spacetime—fail to deliver the requisite modal implications. As part of my argument, (...)
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  2. Quantum Mechanics, Fields, Black Holes, and Ontological Plurality.Gustavo E. Romero - 2024 - Philosophies 9 (4):97-121.
    The ontology behind quantum mechanics has been the subject of endless debate since the theory was formulated some 100 years ago. It has been suggested, at one time or another, that the objects described by the theory may be individual particles, waves, fields, ensembles of particles, observers, and minds, among many other possibilities. I maintain that these disagreements are due in part to a lack of precision in the use of the theory’s various semantic designators. In particular, there is some (...)
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  3. Holes as Regions of Spacetime.Andrew Wake, Joshua Spencer & Gregory Fowler - 2007 - The Monist 90 (3):372-378.
    We discuss the view that a hole is identical to the region of spacetime at which it is located. This view is more parsimonious than the view that holes are sui generis entities located at those regions surrounded by their hosts and it is more plausible than the view that there are no holes. We defend the spacetime view from several objections.
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  4. The Hole Argument.Oliver Pooley - 2022 - In Eleanor Knox & Alastair Wilson (eds.), The Routledge Companion to Philosophy of Physics. London, UK: Routledge. pp. 145-158.
    This paper reviews the hole argument as an argument against spacetime substantivalism. After a careful presentation of the argument itself, I critically review possible responses.
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  5. Philosophical issues about Black holes.Gustavo E. Romero - 2014 - In Abraham Barton (ed.), Advances in Black Holes Research. New York: Nova Science Publishers. pp. 25-58.
    Black holes are extremely relativistic objects. Physical processes around them occur in a regime where the gravitational field is extremely intense. Under such conditions, our representations of space, time, gravity, and thermodynamics are pushed to their limits. In such a situation philosophical issues naturally arise. In this chapter I review some philosophical questions related to black holes. In particular, the relevance of black holes for the metaphysical dispute between presentists and eternalists, the origin of the second law (...)
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  6. Black Holes: Artistic metaphors for the contemporaneity.Gustavo Ruiz da Silva & Gustavo Ottero Gabetti - 2023 - Unigou Remote 2023.
    This paper investigates the cultural significance of black holes and suns as metaphors in continental European literature and art, drawing on theoretical insights from French continental authors such as Jean-François Lyotard and Ray Brassier. Lyotard suggests that black holes signify the ultimate form of the sublime, representing the displacement of humanity and our unease with our place in the cosmos. On the other hand, Brassier views black holes as a consequence of the entropic dissolution of matter, reflecting (...)
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  7. A Hole in the Box and a Pain in the Mouth.Laurenz C. Casser & Henry Ian Schiller - 2021 - Philosophical Quarterly 71 (4):pqaa091.
    The following argument is widely assumed to be invalid: there is a pain in my finger; my finger is in my mouth; therefore, there is a pain in my mouth. The apparent invalidity of this argument has recently been used to motivate the conclusion that pains are not spatial entities. We argue that this is a mistake. We do so by drawing attention to the metaphysics of pains and holes and provide a framework for their location which both vindicates (...)
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  8. Black Hole Philosophy.Gustavo E. Romero - 2021 - Crítica. Revista Hispanoamericana de Filosofía 53 (159):73–132.
    Black holes are arguably the most extraordinary physical objects we know in the universe. Despite our thorough knowledge of black hole dynamics and our ability to solve Einstein’s equations in situations of ever increasing complexity, the deeper implications of the very existence of black holes for our understanding of space, time, causality, information, and many other things remain poorly understood. In this paper I survey some of these problems. If something is going to be clear from my presentation, (...)
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  9. White Hole Observation: An Experimental Result.Yang I. Pachankis - 2022 - International Journal of Innovative Science and Research Technology 7 (2):779-790.
    The article presents the empirical confirmation to the black hole and white hole juxtapose theory. The author based the experiment on the multi- mission multi-spectral space telescope data conducted remotely with the NASA Data Challenge and Harvard- Smithsonian Micro-Observatory. Since the loss of the original manuscript, the author reformulated the mathematics during the research. The observation developed a resonance observation technique that observed the white hole to the moon’s direction with the sun. The data reduction of the white hole and (...)
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  10. Black Hole Paradoxes: A Unified Framework for Information Loss.Saakshi Dulani - 2024 - Dissertation, University of Geneva
    The black hole information loss paradox is a catch-all term for a family of puzzles related to black hole evaporation. For almost 50 years, the quest to elucidate the implications of black hole evaporation has not only sustained momentum, but has also become increasingly populated with proposals that seem to generate more questions than they purport to answer. Scholars often neglect to acknowledge ongoing discussions within black hole thermodynamics and statistical mechanics when analyzing the paradox, including the interpretation of Bekenstein-Hawking (...)
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  11. Counterparts, Determinism, and the Hole Argument.Franciszek Cudek - forthcoming - British Journal for the Philosophy of Science.
    The hole argument concludes that substantivalism about spacetime entails the radical indeterminism of the general theory of relativity (GR). In this paper, I amend and defend a response to the hole argument first proposed by Butterfield (1989) that relies on the idea of counterpart substantivalism. My amendment clarifies and develops the metaphysical presuppositions of counterpart substantivalism and its relation to various definitions of determinism. My defence consists of two claims. First, contra Weatherall (2018) and others: the hole argument is not (...)
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  12. Unpacking Black Hole Complementarity.Siddharth Muthukrishnan - forthcoming - British Journal for the Philosophy of Science.
    To what extent does the black hole information paradox lead to violations of quantum mechanics? I explain how black hole complementarity provides a framework to articulate how quantum characterizations of black holes can remain consistent despite the information paradox. I point out that there are two ways to cash out the notion of consistency in play here: an operational notion and a descriptive notion. These two ways of thinking about consistency lead to (at least) two principles of black hole (...)
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  13. Reasoning about Space: The Hole Story.Achille C. Varzi - 1996 - Logic and Logical Philosophy 4:3-39.
    This is a revised and extended version of the formal theory of holes outlined in the Appendix to the book "Holes and Other Superficialities". The first part summarizes the basic framework (ontology, mereology, topology, morphology). The second part emphasizes its relevance to spatial reasoning and to the semantics of spatial prepositions in natural language. In particular, I discuss the semantics of ‘in’ and provide an account of such fallacious arguments as “There is a hole in the sheet. The (...)
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  14. The Power of Holes.Daisuke Kachi - 2011 - Ontology Meeting: A Supplementary Volume for 2011, February Meeting 1:7-11.
    Firstly I define a hole as a dependent matter-less endurant, which is a little modification of Casati and Varzi’s definition. Adopting this definition, holes seem to invite three problems about causation: (1)causal closure, (2)ungrounded disposition and (3)causal overdetermination. I will defend my definition against all these problems by showing that holes are limiting cases of physical endurants rather than their opposition and that they have causal powers in a broad sense.
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  15. Closing the Hole Argument.Hans Halvorson & John Byron Manchak - forthcoming - British Journal for the Philosophy of Science.
    The hole argument purportedly shows that spacetime substantivalism implies a pernicious form of indeterminism. We show that the argument is seductive only because it mistakes a trivial claim (viz. there are isomorphic models) for a significant claim (viz. there are hole isomorphisms). We prove that the latter claim is false -- thereby closing the debate about whether substantivalism implies indeterminism.
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  16. Pains and holes: comments on (Casser and Schiller 2021).Nathan William Davies - manuscript
    I argue that contrary to their own intentions Casser and Schiller should think that their pain-in-mouth argument is invalid. I cast doubt on whether a hole must be in a host of it but show that the crux of Casser and Schiller’s proposal does not depend on this.
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  17. Einstein's hole argument.Alan Macdonald - 2001 - American Journal of Physics 69:223-225.
    In general relativity, a spacetime and a gravitational field form an indivisible unit: no field, no spacetime. This is a lesson of Einstein's hole argument. We use a simple transformation in a Schwartzschild pacetime to illustrate this.
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  18. A Hole that Does not Speak: Covid, Catastrophe and the Impossible.Jack Black - 2022 - Philosophy World Democracy (xx):1-13.
    Covid-19 presents itself as a strange catastrophe. It has neither destroyed the planet nor has it erased humanity… but it has, in many ways, served to upend and alter what was previously considered ‘normal.’ As a result, what is perhaps the most notable characteristic of the Covid catastrophe is the very way it endures. Beyond any notion of catastrophic shock, the Covid catastrophe continues, indeed, it lingers in daily news cycles, changes to working environments and restrictions on travel. It is (...)
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  19. An Overview of Black Holes.Arjun Dahal & Naresh Adhikari - 2018 - Journal of St. Xavier's Physics Council:8.
    Black holes are one of the fascinating objects in the universe with gravitational pull strong enough to capture light within them. Through this article we have attempted to provide an insight to the black holes, on their formation and theoretical developments that made them one of the unsolved mysteries of universe.
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  20. Research on the Kerr-Newman Black Hole in M82 Confirms Black Hole and White Hole Thermonuclear Binding. Pachankis - 2021 - Academia Letters 8 (3199).
    The article summarized the quadruple weak force electrodynamics on the Kerr-Newman type supermassive compact object on NGC 3034. It used both observational astronomy and data analytical techniques in the qualitative research on cosmology revolved around black hole and white hole juxtapose with nuclear astrophysics and theoretical chemistry.
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  21. From Dialectic to Black Hole, The Definition of Time in Plato’s View.Yuexiong Huang - manuscript
    From Dialectic to Black Hole, The Definition of Time in Plato’s View.
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  22. Advances in Black Holes Research.Abraham Barton (ed.) - 2014 - New York: Nova Science Publishers.
    Black holes are extremely relativistic objects. Physical processes around them occur in a regime where the gravitational field is extremely intense. Under such conditions, our representations of space, time, gravity, and thermodynamics are pushed to their limits. In such a situation philosophical issues naturally arise. In this chapter I review some philosophical questions related to black holes. In particular, the relevance of black holes for the metaphysical dispute between presentists and eternalists, the origin of the second law (...)
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  23. If There Is a Hole, It Is Not God Shaped.Guy Kahane - 2018 - In Klaas Kraay (ed.), Does God Matter? Essays on the Axiological Implications of Theism. pp. 95-131.
    Some people are deeply dissatisfied by the universe that modern science reveals to us. They long for the world described by traditional religion. They do not believe in God, but they wish He had existed. I argue that this is a mistake. The naturalist world we inhabit is admittedly rather bleak. It is very far from being the best of all possible worlds. But an alternative governed by God is also unwelcome, and the things that might make God’s existence attractive—cosmic (...)
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  24. A logical hole in the chinese room.Michael John Shaffer - 2009 - Minds and Machines 19 (2):229-235.
    Searle’s Chinese Room Argument (CRA) has been the object of great interest in the philosophy of mind, artificial intelligence and cognitive science since its initial presentation in ‘Minds, Brains and Programs’ in 1980. It is by no means an overstatement to assert that it has been a main focus of attention for philosophers and computer scientists of many stripes. It is then especially interesting to note that relatively little has been said about the detailed logic of the argument, whatever significance (...)
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  25. An Outline of Scientific Research Programme Connecting Dlack-Hole Evaporation With More Familiar Effects.Rinat M. Nugayev - 1985 - Acta Physica Polonica (4):251-269.
    The methodology of Scientific Research Programmes created by Imre Lakatos is applied to draw an outline of a programme invented to comprehend Hawking’s discovery of black-hole evaporation.
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  26. Argle victorious: a theory of holes as hole-linings.Leona Mollica - 2022 - Synthese 200 (6):1-16.
    In this paper I take up the task, begun by Lewis and Lewis in their seminal paper on the topic, of offering a theory of holes according to which a hole is simply its hole-lining. I begin by motivating the theory, arguing that it holds interest even absent its original animating concerns of nominalism and materialism, and present desiderata any such theory must satisfy. With this in place, I offer a definition both of a lining and of hole sameness, (...)
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  27. Colonialism, injustices of the past, and the hole in Nine.Daniel Weltman - 2023 - Critical Review of International Social and Political Philosophy 88 (2):288-300.
    In ‘Colonialism, territory and pre-existing obligations,’ Cara Nine argues that Lea Ypi’s account of the wrongness of colonialism has a hole in it: Ypi leaves open the possibility of justified settler colonialism. Nine suggests that we can patch this hole by attaching value to existing political associations. But Nine’s solution has its own hole. Many political associations exist due to settler colonialism, and thus if we endorse the value of these associations we seem to endorse colonialism. In response, we could (...)
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  28. On the Mathematics and Metaphysics of the Hole Argument.Oliver Pooley & James Read - forthcoming - The British Journal for the Philosophy of Science.
    We make some remarks on the mathematics and metaphysics of the hole argument, in response to a recent article in this journal by Weatherall ([2018]). Broadly speaking, we defend the mainstream philosophical literature from the claim that correct usage of the mathematics of general relativity `blocks' the argument.
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  29. 1,000 Holes in the Wall.Gavin Keeney - manuscript
    Co-authored research paper written with José Vela Castillo on the subject of Pablo Román's wall of 1,000 images, Vienna, 2013. -/- “Vienna” or “The Wall” is an ongoing project by architect/artist Pablo Román that, upon its completion, will consist of the round number of 1,000 images taped onto an off-white wall. One of the many walls he has designed/produced in the past months (architectural or otherwise), its elementary condition is at the same time enhanced and diminished by its very presence (...)
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  30. 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 - if applied to (...)
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  31. The “Cartographic Impulse” and Its Epistemic Gains in the Process of Iteratively Mapping M87's Black Hole.Paula Muhr - 2023 - Media+Environment 5 (1).
    After the Event Horizon Telescope Collaboration released in April 2019 the first empirical images of a black hole, an astrophysical object previously thought “unseeable,” much of the public discourse has approached these images as straightforward visual depictions of a black hole. This article challenges this view by showing that the first images of a black hole went beyond merely making an invisible cosmic object visible and that the images published in April 2019 were just the first in a series of (...)
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  32. (1 other version)Geons - candidates for the role of the initial microblack holes and their importance for the Planck physics.Alexander Klimets - 2000 - FIZIKA B (Zagreb) 9 (1):23-42.
    The article describes exotic objects, the geons, which emerge as the result of gravitational attraction among massless energy quanta. It is shown that the formation of geons occurs at the energy Epl = 10^19 GeV and leads to the rise of microscopic black holes of a Planck dimension, Planck mass and two horizon events. It is shown that the formation of Planck geons is energetically more likely in 3-dimensional space than with ``physics" of geons in a space of a (...)
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  33. Surrounding the Hole in the Doughnut: Discretion and Deference in U.S. Immigration Law.Daniel Kanstroom - 1997 - Tulane Law Review 71:703-818.
    Among the many problems facing u.s. immigration law is a crisis of discretion and judicial deference. Through two recently passed laws, the United States Congress and the President have seriously limited judicial review o f discretionary immigration decisions o f the Board ofImmigration Appeals. This Article focuses on this preclusion of judicial review of discretionary agency decisions. The Article begins with an examination ofdiscretion from a theoretical perspective, and goes on to examine areas o f immigration law in which discretion (...)
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  34. Designing the structures of discrete solid-alloy elements for broaching the holes of significant diameter based on the assessment of their strength.Ya Nemyrovskyi, I. Shepelenko, E. Posviatenko, Yu Tsekhanov, S. Polotnyak, Sergii Sardak, V. Bandura & Yu Paladiichuk - 2020 - Eastern-European Journal of Enterprise Technologies 3 (7):57-65.
    This paper addresses the issues related to designing and estimating the strength of solid-alloy elements in the deforming broaches of significant diameter (exceeding 150 mm) for the developed process of discrete broaching. The tool limit condition was assessed based on two strength criteria: the specific potential energy of shape change and the maximum tangent stresses. Numerical modeling using the finite element method has made it possible to derive the distribution of equivalent stresses in the tool elements and the contact stresses (...)
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  35. The Curious Case of the Jury-shaped Hole: A Plea for Real Jury Research.Lewis Ross - forthcoming - International Journal of Evidence and Proof.
    Criminal juries make decisions of great importance. A key criticism of juries is that they are unreliable in a multitude of ways, from exhibiting racial or gendered biases, to misunderstanding their role, to engaging in impropriety such as internet research. Recently, some have even claimed that the use of juries creates injustice on a large-scale, as a cause of low conviction rates for sexual criminality. Unfortunately, empirical research into jury deliberation is undermined by the fact that researchers are unable to (...)
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  36. Let's Do Black Holes and Time Warps Again: The Future of Spacetime. [REVIEW]Chris Smeenk - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (4):680-683.
    Book Review of The Future of Spacetime, by Stephen Hawking et al.
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  37. From rational self-interest to liberalism: a hole in Cofnas’s debunking explanation of moral progress.Marcus Arvan - 2024 - Inquiry: An Interdisciplinary Journal of Philosophy 67 (9):3067-3086.
    Michael Huemer argues that cross-cultural convergence toward liberal moral values is evidence of objective moral progress, and by extension, evidence for moral realism. Nathan Cofnas claims to debunk Huemer’s argument by contending that convergence toward liberal moral values can be better explained by ‘two related non-truth-tracking processes’: self-interest and its long-term tendency to result in social conditions conducive to greater empathy. This article argues that although Cofnas successfully debunks Huemer’s convergence argument for one influential form of moral realism – Robust (...)
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  38. Heidegger's Late Philosophy of Language (Podcast, "The Rabbit Hole of Ideas").Adrian Wieczorek - manuscript
    This introductory talk focuses on Heidegger’s late work, especially his 1959 collection of essays Unterwegs zur Sprache – On the way to language. My thesis is the following: Heidegger's late work marks a general shift from a metaphysical, i.e. a total, definite and centre-oriented description of the world, which is still present in Sein und Zeit, to a strictly situational ontology characterized by its openness, ambiguity and absence of centre. This constellation of our life-world is language, insofar language is the (...)
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  39. Immaterial Beings.Kristie Miller - 2007 - The Monist 90 (3):349-371.
    This paper defends a view that falls somewhere between the two extremes of inflationary and deflationary accounts, and it does so by rejecting the initial conceptualisation of holes in terms of absences. Once we move away from this conception, I argue, we can see that there are no special metaphysical problems associated with holes. Rather, whatever one’s preferred metaphysics of paradigm material objects, that account can equally be applied to holes. This means that like the deflationist, I (...)
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  40. A Multi-wavelength Data Analysis with Multi-mission Space Telescopes.Yang I. Pachankis - 2022 - International Journal of Innovative Science and Research Technology 7 (1):701-708.
    The article summarizes the software tool on astrophysical analysis with multi-wavelength space telescope data. It recaps the evidence analysis conducted on the Kerr-Newman black hole (KNBH). It was written prior to the article Research on the Kerr-Newman Black Hole in M82 Confirms Black Hole and White Hole Juxtapose not soon after the experiment. The conducted analysis suggested Hawking radiation is caused by the movement of ergosurfaces of the BH and serves as the primal evidence for black hole and white hole (...)
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  41. Trouble on the Horizon for Presentism.Sam Baron & Baptiste Le Bihan - 2023 - Philosophers' Imprint 23 (1):2.
    Surface presentism is the combination of a general relativistic physics with a presentist metaphysics. In this paper, we provide an argument against this combination based on black holes. The problem focuses on the notion of an event horizon. We argue that the present locations of event horizons are ontologically dependent on future black hole regions, and that this dependence is incompatible with presentism. We consider five responses to the problem available to the surface presentist, and argue that none succeed. (...)
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  42. Some Neglected Possibilities: A Reply to Teitel.Caspar Jacobs - 2024 - Journal of Philosophy 121 (2):108-120.
    The infamous Hole Argument has led philosophers to develop various versions of substantivalism, of which metric essentialism and sophisticated substantivalism are the most popular. In this journal, Trevor Teitel has recently advanced novel arguments against both positions. However, Teitel does not discuss the position of Jeremy Butterfield, which appeals to Lewisian counterpart theory in order to avoid the Hole Argument. In this note I show that the Lewis-Butterfield view is immune to Teitel’s challenges.
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  43. (1 other version)Interpretation of Singularities in General Relativity and the Information Loss Paradox.Cristi Stoica - manuscript
    When matter is falling into a black hole, the associated information becomes unavailable to the black hole's exterior. If the black hole disappears by Hawking evaporation, the information seems to be lost in the singularity, leading to Hawking's information paradox: the unitary evolution seems to be broken, because a pure separate quantum state can evolve into a mixed one.



    This article proposes a new interpretation of the black hole singularities, which restores the information conservation. For the Schwarzschild black hole, it presents (...)
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  44. How to Be a Spacetime Substantivalist.Trevor Teitel - 2022 - Journal of Philosophy 119 (5):233-278.
    The consensus among spacetime substantivalists is to respond to Leibniz's classic shift arguments, and their contemporary incarnation in the form of the hole argument, by pruning the allegedly problematic metaphysical possibilities that generate these arguments. Some substantivalists do so by directly appealing to a modal doctrine akin to anti-haecceitism. Other substantivalists do so by appealing to an underlying hyperintensional doctrine that implies some such modal doctrine. My first aim in this paper is to pose a challenge for all extant forms (...)
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  45. Experimentation on Analogue Models.Susan G. Sterrett - 2017 - In Springer handbook of model-based science (2017). Springer. pp. 857-878.
    Summary Analogue models are actual physical setups used to model something else. They are especially useful when what we wish to investigate is difficult to observe or experiment upon due to size or distance in space or time: for example, if the thing we wish to investigate is too large, too far away, takes place on a time scale that is too long, does not yet exist or has ceased to exist. The range and variety of analogue models is too (...)
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  46. (1 other version)On Metaphysical Analysis.David Braddon-Mitchell & Kristie Miller - 2015 - In Barry Loewer & Jonathan Schaffer (eds.), A companion to David Lewis. Chichester, West Sussex ;: Wiley-Blackwell.
    Metaphysics is largely an a priori business, albeit a business that is sensitive to the findings of the physical sciences. But sometimes what the physical sciences tell us about our own world underdetermines what we should think about the metaphysics of how things actually are, and even how they could be. This chapter has two aims. The first is to defend a particular conception of the methodology of a priori metaphysics by, in part, exemplifying that methodology and revealing its results. (...)
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  47. The singularities as ontological limits of the general relativity.Nicolae Sfetcu - 2018 - Bucharest, Romania: MultiMedia Publishing.
    The singularities from the general relativity resulting by solving Einstein's equations were and still are the subject of many scientific debates: Are there singularities in spacetime, or not? Big Bang was an initial singularity? If singularities exist, what is their ontology? Is the general theory of relativity a theory that has shown its limits in this case? In this essay I argue that there are singularities, and the general theory of relativity, as any other scientific theory at present, is not (...)
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  48. Do We Live In An Intelligent Universe?William H. Green - manuscript
    This essay hypothesizes that the Universe contains a self-reproducing neural network of Black Holes with computational abilities—i.e., the Universe can “think”! It then rephrases the Final Anthropic Principle to state: “Intelligent information-processing must come into existence in each new Universe to assure the birth of intelligent successor universes”. Continued research into the theory of Early Universe and Black Hole information storage, processing and retrieval is recommended, as are observational searches for time-correlated electromagnetic and gravitational wave emission patterns from widely (...)
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  49. Programming relativity and gravity via a discrete pixel space in Planck level Simulation Hypothesis models.Malcolm J. Macleod - manuscript
    Outlined here is a simulation hypothesis approach that uses an expanding (the simulation clock-rate measured in units of Planck time) 4-axis hyper-sphere and mathematical particles that oscillate between an electric wave-state and a mass (unit of Planck mass per unit of Planck time) point-state. Particles are assigned a spin axis which determines the direction in which they are pulled by this (hyper-sphere pilot wave) expansion, thus all particles travel at, and only at, the velocity of expansion (the origin of $c$), (...)
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  50. The Category of Mereotopology and Its Ontological Consequences.Saikeerthi Rachavelpula - 2017 - University of Chicago Mathematics Research Program 2017.
    We introduce the category of mereotopology Mtop as an alternative category to that of topology Top, stating ontological consequences throughout. We consider entities such as boundaries utilizing Brentano’s thesis and holes utilizing homotopy theory with a rigorous proof of Hausdorff Spaces satisfying [GEM]TC axioms. Lastly, we mention further areas of study in this category.
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