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The Structure of Gunk: Adventures in the Ontology of Space

In Dean Zimmerman (ed.), Oxford Studies in Metaphysics: Volume 4. Oxford University Press. pp. 248 (2008)

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  1. A Puzzle About Rates of Change.David Builes & Trevor Teitel - 2020 - Philosophical Studies 177 (10):3155-3169.
    Most of our best scientific descriptions of the world employ rates of change of some continuous quantity with respect to some other continuous quantity. For instance, in classical physics we arrive at a particle’s velocity by taking the time-derivative of its position, and we arrive at a particle’s acceleration by taking the time-derivative of its velocity. Because rates of change are defined in terms of other continuous quantities, most think that facts about some rate of change obtain in virtue of (...)
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  • Defining Measures in a Mereological Space.Giuseppina Barbieri & Giangiacomo Gerla - forthcoming - Logic and Logical Philosophy:1.
    We explore the notion of a measure in a mereological structure and we deal with the difficulties arising. We show that measure theory on connection spaces is closely related to measure theory on the class of ortholattices and we present an approach akin to Dempster’s and Shafer’s. Finally, the paper contains some suggestions for further research.
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  • Infinitesimal Gunk.Lu Chen - 2020 - Journal of Philosophical Logic 49 (5):981-1004.
    In this paper, I advance an original view of the structure of space called Infinitesimal Gunk. This view says that every region of space can be further divided and some regions have infinitesimal size, where infinitesimals are understood in the framework of Robinson’s nonstandard analysis. This view, I argue, provides a novel reply to the inconsistency arguments proposed by Arntzenius and Russell, which have troubled a more familiar gunky approach. Moreover, it has important advantages over the alternative views these authors (...)
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  • Hunky Panentheism.Roberto Rodighiero - 2019 - Sophia 58 (4):581-596.
    Panentheism, a frequently discussed view in recent theological debate, claims that the world is ‘in God’ but that God is ‘more than’ the world. Different theories of the structure of the world produce distinct panentheist views. According to the hunky structure, the world is composed of an infinite number of layers and lacks an ungrounded level. To depict this model, I employ the concepts of ‘grounding’ and ‘emergence.’ The outcome is that if the world is hunky and material reality emerges (...)
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  • Is Weak Supplementation Analytic?Aaron Cotnoir - 2019 - Synthese:1-17.
    Mereological principles are often controversial; perhaps the most stark contrast is between those who claim that Weak Supplementation is analytic—constitutive of our notion of proper parthood—and those who argue that the principle is simply false, and subject to many counterexamples. The aim of this paper is to diagnose the source of this dispute. I’ll suggest that the dispute has arisen by participants failing to be sensitive to two different conceptions of proper parthood: the outstripping conception and the non-identity conception. I’ll (...)
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  • T-Gunk and Exact Occupation.Daniel Giberman - 2012 - American Philosophical Quarterly 49 (2):165-174.
    An object is T-gunky just in case all its parts (i) have proper parts and (ii) are of non-zero measure in every spatial dimension. I show that a recent argument due to Hud Hudson—though not intended as a threat to gunk—bears on the possibility of T-gunky material objects in non-gunky space. I then show that the friend of T-gunk can circumvent Hudson’s argument without abandoning pointy space or standard mereology. What is needed is a novel conception of the relation of (...)
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  • Enduring Through Gunk.Matt Leonard - 2018 - Erkenntnis 83 (4):753-771.
    According to one of the more popular endurantist packages on the market, a package I will call multilocational endurantism, enduring objects are exactly located at multiple instantaneous regions of spacetime. However, for all we know, the world might turn out to be spatiotemporally gunky and spatiotemporal gunk entails that this package is false. The goal of this paper is to sketch a view which retains the spirit of multilocational endurantism while also recognizing the possibility of certain types of objects which (...)
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  • Do Simple Infinitesimal Parts Solve Zeno’s Paradox of Measure?Lu Chen - 2019 - Synthese 198 (5):4441-4456.
    In this paper, I develop an original view of the structure of space—called infinitesimal atomism—as a reply to Zeno’s paradox of measure. According to this view, space is composed of ultimate parts with infinitesimal size, where infinitesimals are understood within the framework of Robinson’s nonstandard analysis. Notably, this view satisfies a version of additivity: for every region that has a size, its size is the sum of the sizes of its disjoint parts. In particular, the size of a finite region (...)
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  • Sorites On What Matters.Theron Pummer - forthcoming - In Jeff McMahan, Timothy Campbell, Ketan Ramakrishnan & Jimmy Goodrich (eds.), Ethics and Existence: The Legacy of Derek Parfit. Oxford: Oxford University Press.
    Ethics in the tradition of Derek Parfit’s Reasons and Persons is riddled with sorites-like arguments, which lead us by what seem innocent steps to seemingly false conclusions. Take, for example, spectrum arguments for the Repugnant Conclusion that appeal to slight differences in quality of life. Several authors have taken the view that, since spectrum arguments are structurally analogous to sorites arguments, the correct response to spectrum arguments is structurally analogous to the correct response to sorites arguments. I argue against this (...)
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  • Weak Location.Antony Eagle - 2019 - Dialectica 73 (1-2):149-181.
    Recently, many philosophers have been interested in using locative relations to clarify and pursue debates in the metaphysics of material objects. Most begin with the relation of exact location. But what if we begin instead with the relation known as weak location – the relation an object x bears to any region not completely bereft of x? I explore some of the consequences of pursuing this route for issues including coincidence, extended simples, and endurance, with an eye to evaluating the (...)
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  • Problems of Parthood for Proponents of Priority.Jonathan Tallant - 2013 - Analysis 73 (3):429-438.
    According to some views of reality, some objects are fundamental and other objects depend for their existence upon these fundamental objects. In this article, I argue that we have reason to reject these views.
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  • Existence and Many-One Identity.Jason Turner - 2013 - Philosophical Quarterly 63 (250):313-329.
    C endorses the doctrine of Composition as Identity, which holds that a composite object is identical to its many parts, and entails that one object can be identical to several others. In this dialogue, N argues that many‐one identity, and thus composition as identity, is conceptually confused. In particular, N claims it violates two conceptual truths: that existence facts fix identity facts, and that identity is no addition to being. In response to pressure from C, N considers several candidate interpretations (...)
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  • How to Be a Substantivalist Without Getting Shifty About It.Zee R. Perry - 2017 - Philosophical Issues 27 (1):223-249.
    According to substantivalism, spacetime points and regions are real entities whose existence is not dependent on matter. In this paper, I motivate and defend a version of substantivalism which takes the totality of spacetime as fundamental, and show how this position avoids certain problem cases, in particular the objection from static Leibniz shifts, and better conforms to how we think about space in physics. I argue that, even though the static Leibniz shifts do not show ordinary substantivalism is committed to (...)
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  • On Christian Theism and Unrestricted Composition.Ross Inman & Alexander Pruss - 2019 - American Philosophical Quarterly 56 (4):345-360.
    Our aim in this paper is to bring to light two sources of tension for Christian theists who endorse the principle of unrestricted composition, that necessarily, for any objects, the xs, there exists an object, y, such that the xs compose y. In Value, we argue that a composite object made of wholly valuable parts is at least as valuable as its most valuable part, and so the mereological sum of God and a wholly valuable part would be at least (...)
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  • Indefinite Divisibility.Jeffrey Sanford Russell - 2016 - Inquiry: An Interdisciplinary Journal of Philosophy 59 (3):239-263.
    Some hold that the lesson of Russell’s paradox and its relatives is that mathematical reality does not form a ‘definite totality’ but rather is ‘indefinitely extensible’. There can always be more sets than there ever are. I argue that certain contact puzzles are analogous to Russell’s paradox this way: they similarly motivate a vision of physical reality as iteratively generated. In this picture, the divisions of the continuum into smaller parts are ‘potential’ rather than ‘actual’. Besides the intrinsic interest of (...)
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  • Shrieking Against Gluts: The Solution to the 'Just True' Problem.Jc Beall - 2013 - Analysis 73 (3):438-445.
    This paper applies what I call the shrieking method (a refined version of an idea with roots in Priest's work) to one of – if not the – issues confronting glut-theoretic approaches to paradox (viz., the problem of ‘just true’ or, what comes to the same, ‘just false’). The paper serves as a challenge to formulate a problem of ‘just true’ that isn't solved by shrieking (as advanced in this paper), if such a problem be thought to exist.
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  • Topology and Measure in Logics for Region-Based Theories of Space.Tamar Lando - 2018 - Annals of Pure and Applied Logic 169 (4):277-311.
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