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Aaron Cotnoir [15]Aaron J. Cotnoir [5]
  1. Composition as Identity - Framing the Debate.Aaron Cotnoir - 2014 - In Aaron Cotnoir & Donald Baxter (eds.), Composition as Identity. Oxford: Oxford University Press. pp. 3-23.
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  2.  95
    Does Universalism Entail Extensionalism?Aaron Cotnoir - 2016 - Noûs 50 (1):121-132.
    Does a commitment to mereological universalism automatically bring along a commitment to the controversial doctrine of mereological extensionalism—the view that objects with the same proper parts are identical? A recent argument suggests the answer is ‘yes’. This paper attempts a systematic response to the argument, considering nearly every available line of reply. It argues that only one approach—the mutual parts view—can yield a viable mereology where universalism does not entail extensionalism.
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  3. 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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  4. Non-Wellfounded Mereology.Aaron J. Cotnoir & Andrew Bacon - 2012 - Review of Symbolic Logic 5 (2):187-204.
    This paper is a systematic exploration of non-wellfounded mereology. Motivations and applications suggested in the literature are considered. Some are exotic like Borges’ Aleph, and the Trinity; other examples are less so, like time traveling bricks, and even Geach’s Tibbles the Cat. The authors point out that the transitivity of non-wellfounded parthood is inconsistent with extensionality. A non-wellfounded mereology is developed with careful consideration paid to rival notions of supplementation and fusion. Two equivalent axiomatizations are given, and are compared to (...)
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  5. Parts as Counterparts.Aaron Cotnoir - 2013 - Thought: A Journal of Philosophy 2 (3):228-241.
    Mereological nihilists are faced with a difficult challenge: explaining ordinary talk about material objects. Popular paraphrase strategies involve plurals, arrangements of particles, or fictions. In this paper, a new paraphrase strategy is put forward that has distinct advantages over its rivals: it is compatible with gunk and emergent properties of macro-objects. The only assumption is a commitment to a liberal view of the nature of simples; the nihilist must be willing to accept the possibility of heterogeneous extended simples. The author (...)
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  6. Strange Parts: The Metaphysics of Non‐Classical Mereologies.Aaron Cotnoir - 2013 - Philosophy Compass 8 (9):834-845.
    The dominant theory of parts and wholes – classical extensional mereology – has faced a number of challenges in the recent literature. This article gives a sampling of some of the alleged counterexamples to some of the more controversial principles involving the connections between parthood and identity. Along the way, some of the main revisionary approaches are reviewed. First, counterexamples to extensionality are reviewed. The ‘supplementation’ axioms that generate extensionality are examined more carefully, and a suggested revision is considered. Second, (...)
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  7.  33
    7. Composition as General Identity.Aaron J. Cotnoir - 2013 - Oxford Studies in Metaphysics 8:294.
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  8.  86
    Natural Axioms for Classical Mereology.Aaron Cotnoir & Achille Varzi - 2018 - Review of Symbolic Logic 12 (1):201-208.
    We present a new axiomatization of classical mereology in which the three components of the theory—ordering, composition, and decomposition prin-ciples—are neatly separated. The equivalence of our axiom system with other, more familiar systems is established by purely deductive methods, along with additional results on the relative strengths of the composition and decomposition axioms of each theory.
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  9. Generic Truth and Mixed Conjunctions: Some Alternatives.Aaron Cotnoir - 2009 - Analysis 69 (3):473-479.
    Christine Tappolet posed a problem for alethic pluralism: either deny the truth of conjunctions whose conjuncts are from distinct domains of inquiry, or posit a generic global truth property thus making other truth properties redundant. Douglas Edwards has attempted to solve the problem by avoiding the horns of Tappolet's dilemma. After first noting an unappreciated consequence of Edwards's view regarding a proliferation of truth properties, I show that Edwards's proposal fails to avoid Tappolet's original dilemma. His response is not successful, (...)
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  10. Beyond Atomism.Aaron Cotnoir - 2013 - Thought: A Journal of Philosophy 2 (1):67-72.
    Contemporary metaphysicians have been drawn to a certain attractive picture of the structure of the world. This picture consists in classical mereology, the priority of parts over wholes, and the well-foundedness of metaphysical priority. In this short note, I show that this combination of theses entails superatomism, which is a significant strengthening of mereological atomism. This commitment has been missed in the literature due to certain sorts of models of mereology being overlooked. But the entailment is an important one: we (...)
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  11.  49
    Abelian Mereology.Aaron Cotnoir - unknown
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  12. From Truth Pluralism to Ontological Pluralism and Back.Aaron J. Cotnoir & Douglas Edwards - 2015 - Journal of Philosophy 112 (3):113-140.
    Ontological pluralism holds that there are different ways of being. Truth pluralism holds that there are different ways of being true. Both views have received growing attention in recent literature, but so far there has been very little discussion of the connections between the views. The authors suggest that motivations typically given for truth pluralism have analogue motivations for ontological pluralism; they argue that while neither view entails the other, those who hold one view and wish to hold the other (...)
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  13.  42
    Models for Hylomorphism.Bruno Miguel Jacinto & Aaron Cotnoir - 2019 - Journal of Philosophical Logic 48 (5):909-955.
    In a series of papers, 137–158; 1994, Midwest Studies in Philosophy, 23, 61–74, 1999) Fine develops his hylomorphic theory of embodiments. In this article, we supply a formal semantics for this theory that is adequate to the principles laid down for it in. In Section 1, we lay out the theory of embodiments as Fine presents it. In Section 2, we argue on Cantorian grounds that the theory needs to be stabilized, and sketch some ways forward, discussing various choice points (...)
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  14. Validity for Strong Pluralists.Aaron J. Cotnoir - 2013 - Philosophy and Phenomenological Research 86 (3):563-579.
  15. Pluralism and Paradox.Aaron J. Cotnoir - 2013 - In Nikolaj J. L. L. Pedersen & Cory D. Wright (eds.), Truth and Pluralism: Current Debates. Oxford University Press. pp. 339.
  16.  28
    Mutual Indwelling.Aaron Cotnoir - 2017 - Faith and Philosophy 34 (2):123-151.
    Perichoresis, or “mutual indwelling,” is a crucial concept in Trinitarian theology. But the philosophical underpinnings of the concept are puzzling. According to ordinary conceptions of “indwelling” or “being in,” it is incoherent to think that two entities could be in each other. In this paper, I propose a mereological way of understanding “being in,” by analogy with standard examples in contemporary metaphysics. I argue that this proposal does not conflict with the doctrine of divine simplicity, but instead affirms it. I (...)
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  17.  55
    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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  18.  72
    True, False, Paranormal and 'Designated'?: A Reply to Jenkins.Colin Ready Caret & Aaron Cotnoir - 2008 - Analysis 68 (3):238–244.
    Jenkins (2007) charges that the language advanced in Beall (2007) is either expressively impoverished, or inconsistent. We argue that Jenkins’ objections are based on unreasonably strong constraints on formal theories of truth. Our primary concern is not to defend the ‘paranormal’ framework advanced in Beall, but to respond to a common – and implausible – ‘revenge’-style charge directed at a certain class of formal theories of truth and paradox.
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  19.  50
    How Many Angels Can Be in the Same Place at the Same Time? A Defence of Mereological Universalism.Aaron Cotnoir - 2016 - Mind 125 (500):959-965.
    I reply to Hawthorne and Uzquiano’s arguments for the incompatibility between mereological universalism and plenitudinous co-location. I argue that a mereology in which antisymmetry for parthood fails is independently motivated, and allows for both universalism and plenitudinous co-location. There can be as many angels in a place as there are cardinalities.
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  20.  25
    A Note on Priest's Mereology.Aaron Cotnoir - 2018 - Australasian Journal of Logic 15 (4):642.
    In the last several years, paraconsistent mereology has begun to be developed and applied to a range of philosophical issues, from puzzles about boundaries, to the Meinongian ‘problem of nothingness’, to the metaphysics of unity. Because these formal systems are fresh out of the package, as it were, there will inevitably be some wrinkles that need ironing out. In this note, I’ll point out a problem with the system in Priest, and suggest a natural fix.
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