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Why Parthood Might Be a Four Place Relation, and How it Behaves if it Is

In Ludger Honnefelder, Benedikt Schick & Edmund Runggaldier (eds.), Unity and Time in Metaphysics. de Gruyter. pp. 83--133 (2009)

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  1. Different Samenesses: Essays on Non-Standard Views of Identity.Eric de Araujo - 2021 - Dissertation, Ohio State University
    Few views are as widely held as the Standard View of Identity. Here I am concerned with minority views that depart from the standard account. First, I attempt to illuminate such views and the debates concerning them by identifying the principles of identity at issue, articulating some of the assumptions underlying the debates, and presenting some of the evidence used against the Standard View of Identity. Second, I enter two of these debates myself. I first defend two Non-Standard Views of (...)
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  • Mind the Gap.Jeroen Smid - forthcoming - Journal of Philosophical Logic:1-17.
    In debates about the metaphysics of material objects examples of colocated objects are commonly taken to be examples of coincidence too. But the argument that colocation is best understood as involving coincidence is never spelled out. This paper shows under what conditions colocation entails coincidence and argues that the entailment depends on a principle that actually rules out certain forms of colocation. This undermines the argument from colocation to coincidence.
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  • Mereology and time travel.Carlo Proietti & Jeroen Smid - 2020 - Philosophical Studies 177 (8):2245-2260.
    Core principles of mereology have been questioned by appealing to time travel scenarios. This paper questions the methodology of employing time travel scenarios to argue against mereology. We show some time travel scenarios are structurally equivalent to more standard ones not involving time travel; and that the three main theories about persistence through time can each solve both the time travel scenario as well as the structurally similar classical scenario. Time travel scenarios that are not similar to more standard arguments (...)
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  • Survivalism, Corruptionism, and Mereology.David S. Oderberg - 2012 - European Journal for Philosophy of Religion 4 (4):1-26.
    Corruptionism is the view that following physical death, the human being ceases to exist but their soul persists in the afterlife. Survivalism holds that both the human being and their soul persist in the afterlife, as distinct entities, with the soul constituting the human. Each position has its defenders, most of whom appeal both to metaphysical considerations and to the authority of St Thomas Aquinas. Corruptionists claim that survivalism violates a basic principle of any plausible mereology, while survivalists tend to (...)
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  • Location and Mereology.Cody Gilmore - 2013 - Stanford Encyclopedia of Philosophy.
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  • Fusion First.Shieva Kleinschmidt - 2019 - Noûs 53 (3):689-707.
    Logics of part/whole relations frequently take parthood or proper parthood as primitive, defining the remaining mereological properties and relations in terms of them. I argue from considerations involving Weak Supplementation for the conclusion that we should take fusion as our mereological primitive. I point out that the intuitions supporting Weak Supplementation also support a stronger principle, Weak Supplementation of Pluralities, and that the principle can only do the work demanded by our intuitions when formulated in terms of a notion 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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  • Quasi-Supplementation, Plenitudinous Coincidentalism, and Gunk.Cody Gilmore - forthcoming - In Robert Garcia (ed.), Substance: New Essays. Philosophia Verlag.
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  • Building Enduring Objects Out of Spacetime.Cody Gilmore - 2014 - In Claudio Calosi & Pierluigi Graziani (eds.), Mereology and the Sciences: Parts and Wholes in the Contemporary Scientific Context. Springer. pp. 5-34.
    Endurantism, the view that material objects are wholly present at each moment of their careers, is under threat from supersubstantivalism, the view that material objects are identical to spacetime regions. I discuss three compromise positions. They are alike in that they all take material objects to be composed of spacetime points or regions without being identical to any such point or region. They differ in whether they permit multilocation and in whether they generate cases of mereologically coincident entities.
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  • Why 0-Adic Relations Have Truth Conditions: Essence, Ground, and Non-Hylomorphic Russellian Propositions.Cody Gilmore - forthcoming - In Chris Tillman (ed.), The Routledge Handbook of Propositions. London: Routledge.
    I formulate an account, in terms of essence and ground, that explains why atomic Russellian propositions have the truth conditions they do. The key ideas are that (i) atomic propositions are just 0-adic relations, (ii) truth is just the 1-adic version of the instantiation (or, as I will say, holding) relation (Menzel 1993: 86, note 27), and (iii) atomic propositions have the truth conditions they do for basically the same reasons that partially plugged relations, like being an x and a (...)
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  • Mereological Explanation and Time Travel.Nikk Effingham - 2010 - Australasian Journal of Philosophy 88 (2):333-345.
    I have previously argued in a paper with Robson that a particular time travel scenario favours perdurantism over endurantism on the grounds that endurantists must give up on the Weak Supplementation Principle. Smith has responded, arguing that the reasons we provided are insufficient to warrant this conclusion. This paper agrees with that conclusion (for slightly different reasons: that even the perdurantist has to give up on the Weak Supplementation Principle) but argues that the old argument can be supplanted with a (...)
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  • Multilocation and Mereology.Shieva Kleinschmidt - 2011 - Philosophical Perspectives 25 (1):253-276.
    Multilocation and Minimal Mereology do not mix well. It has been pointed out that Three-Dimensionalism, which can be construed as multilocation-friendly, runs into trouble with Weak Supplementation. But in fact, regardless of one’s theory of persistence, if someone posits the possibility of any one of several kinds of multilocation, he or she will not be able to maintain the necessity of any of the three axioms of Minimal Mereology: the Transitivity of Proper Parthood, the Asymmetry of Proper Parthood, and Weak (...)
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  • A New Taxonomy of Persisting (Relativistic) Objects.Claudio Calosi & Vincenzo Fano - 2015 - Topoi 34 (1):283-294.
    The paper presents a thorough exploration of the problem of persistence in a relativistic context. Using formal methods such as mereology, formal theories of location and the so called intrinsic formulation of special relativity we provide a new, more rigorous and more comprehensive taxonomy of persisting entities. This new taxonomy differs significantly from the ones that are present in the recent literature.
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  • Composition and the Logic of Location: An Argument for Regionalism.Cody Gilmore & Matt Leonard - 2020 - Mind 129 (513):159-178.
    Ned Markosian has recently defended a new theory of composition, which he calls regionalism : some material objects xx compose something if and only if there is a material object located at the fusion of the locations of xx. Markosian argues that regionalism follows from what he calls the subregion theory of parthood. Korman and Carmichael agree. We provide countermodels to show that regionalism does not follow from, even together with fourteen potentially implicit background principles. We then show that regionalism (...)
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  • Mereology.Achille C. Varzi - 2016 - Stanford Encyclopedia of Philosophy.
    An overview of contemporary part-whole theories, with reference to both their axiomatic developments and their philosophical underpinnings.
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  • Do Composite Objects Have an Age in Relativistic Spacetime?Yuri Balashov - 2012 - Philosophia Naturalis 49 (1):9-23.
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  • Grounding and Supplementation.T. Dixon - 2016 - Erkenntnis 81 (2):375-389.
    Partial grounding is often thought to be formally analogous to proper parthood in certain ways. Both relations are typically understood to be asymmetric and transitive, and as such, are thought to be strict partial orders. But how far does this analogy extend? Proper parthood is often said to obey the weak supplementation principle. There is reason to wonder whether partial grounding, or, more precisely, proper partial grounding, obeys a ground-theoretic version of this principle. In what follows, I argue that it (...)
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  • Propositions and Parthood: The Universe and Anti-Symmetry.Chris Tillman & Gregory Fowler - 2012 - Australasian Journal of Philosophy 90 (3):525 - 539.
    It is plausible that the universe exists: a thing such that absolutely everything is a part of it. It is also plausible that singular, structured propositions exist: propositions that literally have individuals as parts. Furthermore, it is plausible that for each thing, there is a singular, structured proposition that has it as a part. Finally, it is plausible that parthood is a partial ordering: reflexive, transitive, and anti-symmetric. These plausible claims cannot all be correct. We canvass some costs of denying (...)
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  • Explicating Eternalism A Study in Metaontology.Thorben Petersen - 2012 - Philosophia Naturalis 49 (1):137-161.
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  • Fundamentality and Time‐Travel.Shieva Kleinschmidt - 2015 - Thought: A Journal of Philosophy 4 (1):46-51.
    The relation of being more fundamental than, as well as the Finean notion of partial grounding, are widely taken to be irreflexive, transitive, and asymmetric. However, certain time-travel cases that have been used to raise worries about the irreflexivity, transitivity, and asymmetry of proper part of can also be used to argue that more fundamental than and partially grounds do not have these formal properties. I present this worry and discuss several responses to it, with the aim of showing that (...)
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  • Extensionality, Multilocation, Persistence.Claudio Calosi - 2014 - Dialectica 68 (1):121-139.
    The paper addresses various questions about the logical and metaphysical relations between notions of parthood, location and persistence. In particular it argues that the conjunction of mereological extensionalism and multilocation, is highly problematic, if not utterly inconsistent. It thus provides an alternate route to reject multilocation, one that does not rely on Barker and Dowe's well known argument, at least for those who endorse extensionality of parthood. It then argues that other major metaphysical theses such as three-dimensionalism turn out to (...)
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