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Cardinal Composition

Erkenntnis 89 (4):1457-1479 (2024)

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  1. Indefinitely Descending Ground.Einar Duenger Bohn - 2018 - In Ricki Bliss & Graham Priest (eds.), Reality and its Structure: Essays in Fundamentality. Oxford, UK: Oxford University Press. pp. 167-181.
    In this paper I argue against grounding being necessarily well-founded, and provide some reasons to think it's actually not well-founded.
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  • Logic and Arithmetic: Rational and Irrational Numbers.David Bostock - 1974 - Oxford, England: Clarendon Press.
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  • Material Beings.Peter Van Inwagen - 1990 - Ithaca, N.Y.: Cornell University Press.
    According to Peter van Inwagen, visible inanimate objects do not, strictly speaking, exist. In defending this controversial thesis, he offers fresh insights on such topics as personal identity, commonsense belief, existence over time, the phenomenon of vagueness, and the relation between metaphysics and ordinary language.
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  • Brutal Composition.Ned Markosian - 1998 - Philosophical Studies 92 (3):211 - 249.
    According to standard, pre-philosophical intuitions, there are many composite objects in the physical universe. There is, for example, my bicycle, which is composed of various parts - wheels, handlebars, molecules, atoms, etc. Recently, a growing body of philosophical literature has concerned itself with questions about the nature of composition.1 The main question that has been raised about composition is, roughly, this: Under what circumstances do some things compose, or add up to, or form, a single object? It turns out that (...)
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  • 'Partial defeaters' and the epistemology of disagreement.Michael Thune - 2010 - Philosophical Quarterly 60 (239):355-372.
    Can known disagreement with our epistemic peers undermine or defeat the justification our beliefs enjoy? Much of the current literature argues for one of two extreme positions on this topic, either that the justification of each person's belief is (fully) defeated by the awareness of disagreement, or that no belief is defeated by this awareness. I steer a middle course and defend a principle describing when a disagreement yields a partial defeater, which results in a loss of some, but not (...)
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  • Gunky Objects, Junky Worlds, and Weak Mereological Universalism.Deborah C. Smith - 2019 - Erkenntnis 84 (1):41-55.
    Einar Bohn has argued that principles of composition must be contingent if gunky objects and junky worlds are both metaphysically possible. This paper critically examines such a case for contingentism about composition. I argue that weak mereological universalism, the principle that any two objects compose something, is consistent with the metaphysical possibility of both gunky objects and junky worlds. I further argue that, contra A. J. Cotnoir, the weak mereological universalist can accept a plausible mereological remainder axiom. The proponent of (...)
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  • Four Dimensionalism: An Ontology of Persistence and Time.Theodore Sider - 2004 - Philosophy and Phenomenological Research 68 (3):642-647.
    Precis of my book by this title, for a symposium.
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  • The least discerning and most promiscuous truthmaker.Jonathan Schaffer - 2010 - Philosophical Quarterly 60 (239):307 - 324.
    I argue that the one and only truthmaker is the world. This view can be seen as arisingfrom (i) the view that truthmaking is a relation of grounding holding between true propositions and fundamental entities, together with (ii) the view that the world is the one and only fundamental entity. I argue that this view provides an elegant and economical account of the truthmakers, while solving the problem of negative existentials, in a way that proves ontologically revealing.
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  • The Ethics of Emmanuel Levinas – Diane Perpich.Basil O'Neill - 2010 - Philosophical Quarterly 60 (239):420-422.
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  • Theism and Ultimate Explanation – Timothy O'Connor.Samuel Newlands - 2010 - Philosophical Quarterly 60 (239):438-442.
    This is a book review of "Theism and Ultimate Explanation", by Timothy O'Connor.
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  • Simples.Ned Markosian - 1998 - Australasian Journal of Philosophy 76 (2):213 – 228.
    Since the publication of Peter van Inwagen's book, Material Beings,1 there has been a growing body of philosophical literature on the topic of composition. The main question addressed in both van Inwagen's book and subsequent discussions of the topic is a question that van Inwagen calls "the Special Composition Question." The Special Composition Question is, roughly, the question Under what circumstances do several things compose, or add up to, or form, a single object? For the purposes of formulating a more (...)
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  • Descartes on Causation – Tad Schmaltz.Brandon C. Look - 2010 - Philosophical Quarterly 60 (239):418-420.
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  • What are ‘natural inequalities’?Tim Lewens - 2010 - Philosophical Quarterly 60 (239):264-285.
    The varying demands of justice are often thought to depend on a distinction between natural and social inequalities, but making this distinction has been little discussed, and it has been dismissed by philosophers of biology. It cannot be established by a simple causal criterion, nor by use of the analysis of variance, nor by distinguishing the innate from the acquired. Whether an inequality can be socially controlled provides the most plausible criterion, so ‘natural’ and ‘social’ are misleading labels for types (...)
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  • God, the Best, and Evil. [REVIEW]Klaas J. Kraay & Luke Gelinas - 2010 - Philosophical Quarterly 60 (239):432-446.
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  • What Is Classical Mereology?Paul Hovda - 2009 - Journal of Philosophical Logic 38 (1):55 - 82.
    Classical mereology is a formal theory of the part-whole relation, essentially involving a notion of mereological fusion, or sum. There are various different definitions of fusion in the literature, and various axiomatizations for classical mereology. Though the equivalence of the definitions of fusion is provable from axiom sets, the definitions are not logically equivalent, and, hence, are not inter-changeable when laying down the axioms. We examine the relations between the main definitions of fusion and correct some technical errors in prominent (...)
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  • Universalism and Junk.A. J. Cotnoir - 2014 - Australasian Journal of Philosophy 92 (4):649-664.
    Those who accept the necessity of mereological universalism face what has come to be known as the ‘junk argument’ due to Bohn [2009], which proceeds from the incompatibility of junk with universalism and the possibility of junk, to conclude that mereological universalism isn't metaphysically necessary. Most attention has focused on ; however, recent authors have cast doubt on . This paper undertakes a defence of premise against three main objections. The first is a new objection to the effect that Bohn's (...)
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  • Anti‐symmetry and non‐extensional mereology.Aaron Cotnoir - 2010 - Philosophical Quarterly 60 (239):396-405.
    I examine the link between extensionality principles of classical mereology and the anti‐symmetry of parthood. Varzi's most recent defence of extensionality depends crucially on assuming anti‐symmetry. I examine the notions of proper parthood, weak supplementation and non‐well‐foundedness. By rejecting anti‐symmetry, the anti‐extensionalist has a unified, independently grounded response to Varzi's arguments. I give a formal construction of a non‐extensional mereology in which anti‐symmetry fails. If the notion of ‘mereological equivalence’ is made explicit, this non‐anti‐symmetric mereology recaptures all of the structure (...)
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  • The junk argument: safe disposal guidelines for mereological universalists.Gabriele Contessa - 2012 - Analysis 72 (3):455-457.
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  • Toward a Commonsense Answer to the Special Composition Question.Chad Carmichael - 2015 - Australasian Journal of Philosophy 93 (3):475-490.
    The special composition question is the question, ‘When do some things compose something?’ The answers to this question in the literature have largely been at odds with common sense, either by allowing that any two things compose something, or by denying the existence of most ordinary composite objects. I propose a new ‘series-style’ answer to the special composition question that accords much more closely with common sense, and I defend this answer from van Inwagen's objections. Specifically, I will argue that (...)
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  • The contingency of composition.Ross P. Cameron - 2007 - Philosophical Studies 136 (1):99-121.
    There is widespread disagreement as to what the facts are concerning just when a collection of objects composes some further object; but there is widespread agreement that, whatever those facts are, they are necessary. I am unhappy to simply assume this, and in this paper I ask whether there is reason to think that the facts concerning composition hold necessarily. I consider various reasons to think so, but find fault with each of them. I examine the theory of composition as (...)
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  • Must there be a top level?Einar Duenger Bohn - 2009 - Philosophical Quarterly 59 (235):193-201.
    I first explore the notion of the world's being such that everything in it is a proper part. I then explore the notion of the world's being such that everything in it both is and has a proper part. Given two well recognized assumptions, I argue that both notions represent genuine metaphysical possibilities. Finally I consider, but dismiss, some possible objections.
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  • An argument against the necessity of unrestricted composition.Einar Duenger Bohn - 2009 - Analysis 69 (1):27-31.
    Many metaphysicians accept the view that, necessarily, any collection of things composes some further thing. Necessarily, my arms, legs, head, and torso compose my body; necessarily, my arms, my heart, and the table compose something y; necessarily, my heart and the sun compose something z; and so on. 1 Though there have been a few recent attempts to argue against the necessity of this principle of unrestricted composition the consensus is that if it is true, it is necessarily true. 2In (...)
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  • The Case for Contextualism: Knowledge, Skepticism, and Context, Vol. I – Keith DeRose.Peter Baumann - 2010 - Philosophical Quarterly 60 (239):424-427.
    A review and discussion of Keith DeRose's "The Case for Contextualism".
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  • Material Beings.Peter Van Inwagen - 1990 - Philosophy 67 (259):126-127.
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  • Four Dimensionalism: An Ontology of Persistence and Time.Theodore Sider - 2001 - Oxford, GB: Oxford University Press.
    Four- Dimensionalism defends the thesis that the material world is composed of temporal as well as spatial parts. This defense includes a novel account of persistence over time, new arguments in favour of the four-dimensional ontology, and responses to the challenges four- dimensionalism faces." "Theodore Sider pays particular attention to the philosophy of time, including a strong series of arguments against presentism, the thesis that only the present is real. Arguments offered in favour of four- dimensionalism include novel arguments based (...)
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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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