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A. J. Cotnoir
University of St. Andrews
  1.  42
    Mereology.Achille C. Varzi & A. J. Cotnoir - 2021 - Oxford: Oxford University Press.
    Is a whole something more than the sum of its parts? Are there things composed of the same parts? If you divide an object into parts, and divide those parts into smaller parts, will this process ever come to an end? Can something lose parts or gain new ones without ceasing to be the thing it is? Does any multitude of things (including disparate things such as you, this book, and the tail of a cat) compose a whole of some (...)
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  2.  78
    Theism and Dialetheism.A. J. Cotnoir - 2018 - Australasian Journal of Philosophy 96 (3):592-609.
    The divine attributes of omniscience and omnipotence have faced objections to their very consistency. Such objections rely on reasoning parallel to semantic paradoxes such as the Liar or to set-theoretic paradoxes like Russell's paradox. With the advent of paraconsistent logics, dialetheism—the view that some contradictions are true—became a major player in the search for a solution to such paradoxes. This paper explores whether dialetheism, armed with the tools of paraconsistent logics, has the resources to respond to the objections levelled against (...)
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  3.  89
    God of the Gaps: A Neglected Reply to God’s Stone Problem.Jc Beall & A. J. Cotnoir - 2017 - Analysis 77 (4):681-689.
    Traditional monotheism has long faced logical puzzles. We argue that such puzzles rest on the assumed logical truth of the Law of Excluded Middle, which we suggest there is little theological reason to accept. By way of illustration we focus on God's alleged stone problem, and present a simple but plausible ‘gappy’ framework for addressing this puzzle. We assume familiarity with the proposed logic but an appendix is offered as a brief review.
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  4.  51
    Complete Symposium on Jc Beall's Christ – A Contradiction: A Defense of Contradictory Christology.Jc Beall, Timothy Pawl, Thomas McCall, A. J. Cotnoir & Sara L. Uckelman - 2019 - Journal of Analytic Theology 7 (1):400-577.
    The fundamental problem of Christology is the apparent contradiction of Christ as recorded at Chalcedon. Christ is human and Christ is divine. Being divine entails being immutable. Being human entails being mutable. Were Christ two different persons there’d be no apparent contradiction. But Chalcedon rules as much out. Were Christ only partly human or only partly divine there’d be no apparent contradiction. But Chalcedon rules as much out. Were the very meaning of ‘mutable’ and/or ‘immutable’ other than what they are, (...)
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  5. 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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  6.  84
    Inconsistent Boundaries.Zach Weber & A. J. Cotnoir - 2015 - Synthese 192 (5):1267-1294.
    Mereotopology is a theory of connected parts. The existence of boundaries, as parts of everyday objects, is basic to any such theory; but in classical mereotopology, there is a problem: if boundaries exist, then either distinct entities cannot be in contact, or else space is not topologically connected . In this paper we urge that this problem can be met with a paraconsistent mereotopology, and sketch the details of one such approach. The resulting theory focuses attention on the role of (...)
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  7.  26
    On the Role of Logic in Analytic Theology: Exploring the Wider Context of Beall’s Philosophy of Logic.A. J. Cotnoir - 2019 - Journal of Analytic Theology 7 (1):508-528.
    What is the proper role of logic in analytic theology? This question is thrown into sharp relief when a basic logical principle is questioned, as in Beall’s ‘Christ – A Contradiction.’ Analytic philosophers of logic have debated between exceptionalism and anti-exceptionalism, with the tide shifting towards anti-exceptionalism in recent years. By contrast, analytic theologians have largely been exceptionalists. The aim of this paper is to argue for an anti-exceptionalist view, specifically treating logic as a modelling tool. Along the way I (...)
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  8.  33
    Fully Divine and Fully Human: A Bi-Modal Outline Towards Consistency.Jc Beall & A. J. Cotnoir - forthcoming - Religious Studies:1-8.
    Philosophers and theologians have long recognized apparent contradictions in the Christian doctrine of the incarnation wherein Jesus is both fully divine and fully human and thereby exemplifies all properties essential to being divine and all properties essential to being human, including, respectively, immutability and mutability. In this article, we outline a new account of such apparent contradictions, wherein each such pair of properties involves different modal operators.
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  9. Is Weak Supplementation Analytic?A. J. Cotnoir - 2018 - Synthese 198 (Suppl 18):4229-4245.
    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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  10.  17
    Unity, Identity, and Topology: How to Make Donuts and Cut Things in Half.A. J. Cotnoir - 2019 - In Can Başkent & Thomas Macaulay Ferguson (eds.), Graham Priest on Dialetheism and Paraconsistency. Springer Verlag. pp. 217-229.
    Priest’s 2014 theory of unity and identity, based on a paraconsistent logic, has a wide range of applications. In this paper, I apply his theory to some puzzles concerning mereology and topology. These puzzles suggest that the classical mereotopology needs to be revised. I compare and contrast the Priest-inspired solution with another, based on classical logic, that requires the co-location of boundaries. I suggest that the co-location view should be preferred on abductive grounds.
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