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Many-one identity

Philosophical Papers 17 (3):193-216 (1988)

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  1. A (Cross‐Count) Compositional Christology.Joshua R. Sijuwade - 2023 - Heythrop Journal 64 (4):532-555.
    This article aims to provide a new philosophical explication of the doctrine of the Incarnation. A compositional model of the doctrine is formulated within the Dispositional Personhood account of Lynne Rudder Baker and the Composition as Identity framework of Donald L.M. Baxter. Formulating the doctrine of the Incarnation within this account and framework will enable it to be explicated in a clear and consistent manner, and the oft‐raised objections against this type of model can be answered.
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  • (1 other version)Hume on Abstraction and Identity.Donald L. M. Baxter - 2017 - In Stefano Di Bella & Tad M. Schmaltz (eds.), The Problem of Universals in Early Modern Philosophy. New York, NY: Oxford University Press. pp. 285-304.
    Hume’s critique of traditional abstraction entails a result that undercuts his account of the idea of identity. To save his account of identity, Hume would have to accept abstraction as well. What links these two discussions is (1) Hume’s widely shared assumption that traditional abstraction is separating in the mind what are inseparable in reality, (2) his principle that what are different are mentally separable, and (3) his principle that we cannot conceive of the impossible. Given these, it will turn (...)
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  • Thin Mereological Sums, Abstraction, and Interpretational Modalities.Giorgio Lando - 2023 - Theoria 89 (3):1-18.
    Some tools introduced by Linnebo to show that mathematical entities are thin objects can also be applied to non-mathematical entities, which have been thought to be thin as well for a variety of reasons. In this paper, I discuss some difficulties and opportunities concerning the application of abstraction and interpretational modalities to mereological sums. In particular, I show that on one hand some prima facie attractive candidates for the role of an explanatory plural abstraction principle for mereological sums (in terms (...)
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  • Tiantai Metaethics.Jason Dockstader - 2022 - Australasian Journal of Philosophy 100 (2):215-229.
    This paper is a contribution to the emerging field of comparative metaethics, which aims to analyse the metaethical views of philosophical traditions outside the Western mainstream. It argues that the metaethical views implicit in the mediaeval Chinese school of Tiantai Buddhism can be reconstructed in contemporary terms in order to develop two novel views. These views are moral dialetheism and moral trivialism. The taxonomy of contemporary metaethical views, in epistemic terms, is exhausted by either partial success, or complete error, theories. (...)
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  • Irreducibly collective existence and bottomless nihilism.Jonas Werner - 2022 - Synthese 200 (2):1-16.
    This paper develops the metaphysical hypothesis that there are irreducibly collective pluralities, pluralities of objects that do not have a singular object among them. A way to formulate this hypothesis using plural quantification will be proposed and the coherence of irreducibly collective existence will be defended. Furthermore, irreducibly collective existence will be shown to allow for bottomless scenarios that do not involve things standing in relations of parthood. This will create logical space for an anti-atomistic form of mereological nihilism.
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  • Counting Composites.Jonathan D. Payton - 2022 - Australasian Journal of Philosophy 100 (4):695-710.
    I defend the thesis that Composition Entails Identity (CEI): that is, a whole is identical to all of its parts, taken together. CEI seems to be inconsistent, since it seems to require that the parts of a whole possess incompatible number properties (for instance, being one thing and being many things). I show that these number properties are, in fact, compatible.
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  • Composition as Identity and the Innocence of Mereology.Roberto Loss - 2021 - Philosophy and Phenomenological Research 105 (1):128-143.
    According to the thesis known as ‘Composition as Identity’ (‘CAI’), every entity is identical to the parts it fuses. Many authors in the literature acknowledge that, in spite of its controversial character, one attractive virtue of CAI is its apparent ability to give a straightforward account of the innocence of mereology. In this paper I will present a simple argument according to which CAI entails that no composite entity can be said to be ontologically innocent in the relevant sense. After (...)
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  • Divine Simplicity.Joshua Reginald Sijuwade - 2022 - European Journal for Philosophy of Religion 14 (1):143-179.
    This article aims to provide a consistent explication of the doctrine of Divine Simplicity. To achieve this end, a re-construal of the doctrine is made within an “aspectival trope-theoretic” metaphysical framework, which will ultimately enable the doctrine to be elucidated in a consistent manner, and the Plantingian objections raised against it will be shown to be unproblematic.
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  • Bodies and minds, heaps and syllables.Erik Goodwyn - 2021 - Synthese 199 (3-4):8831-8855.
    In this paper the explanatory gap of the philosophy of mind is explored, and found to have a similar structure even in different framings of the mind–body problem. This leads to the consideration that the MBP may be a special case of the more general whole-part problem: how do properties of wholes arise from the particular assembly of isolated parts? The conclusion is argued that only an approach of mereological holism offers solace from the explanatory gap problem, exchanging it for (...)
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  • Composition as identity, now with all the pluralities you could want.Jonathan D. Payton - 2021 - Synthese 199 (3-4):8047-8068.
    According to ‘composition as identity’, a composite object is identical to all its parts taken together. Thus, a plurality of composite objects is identical to the plurality of those objects’ parts. This has the consequence that, e.g., the bricks which compose a brick wall are identical to the atoms which compose those bricks, and hence that the plurality of bricks must include each of those atoms. This consequence of CAI is in direct conflict with the standard analysis of plural definite (...)
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  • Monism, Spacetime, and Aristotelian Substances.Carlo Rossi - 2021 - Acta Analytica 36 (3):375-392.
    Schaffer offers us in the last section of “On What Grounds What” (2009) an applied illustration of his allegedly Aristotelian metaontological position. According to this illustration, Schaffer’s metaontological position, supplemented with a few Aristotelian theses about substance and grounding, would converge in a view remarkably similar to his priority monism (Philosophical Studies, 145, 131–148, 2009b; Philosophical Review, 119, 31–76, 2010a), the view that there is one single fundamental substance. In this paper, I will argue against Schaffer’s suggestion that priority monism (...)
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  • Group nouns and pseudo‐singularity.Eric Snyder & Stewart Shapiro - 2021 - Thought: A Journal of Philosophy 10 (1):66-77.
    Thought: A Journal of Philosophy, EarlyView.
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  • Functional Monotheism and the Tri-Theism Objection.Joshua R. Sijuwade - 2020 - Dissertation, University of York
    In this thesis, I argue that the Functional Monotheism model is not tri-theistic, but is a model of pro-Nicene Trinitarianism. In establishing this thesis, I focus on countering a specific objection prevalent in the Analytic Theology literature; the Tri-Theism Objection, which has charged the Functional Monotheism model with “tri-theism”. This objection, formulated by Kelly James Clark and Edward Feser, asserts that the Functional Monotheism model is tritheistic and thus should be rejected as a possible model of scriptural monotheism and “orthodox” (...)
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  • Mereological monism and Humean supervenience.Andrea Borghini & Giorgio Lando - 2016 - Synthese 197 (11):4745-4765.
    According to Lewis, mereology is the general and exhaustive theory of ontological composition, and every contingent feature of the world supervenes upon some fundamental properties instantiated by minimal entities. A profound analogy can be drawn between these two basic contentions of his metaphysics, namely that both can be intended as a denial of emergentism. In this essay, we study the relationships between Humean supervenience and two philosophical spin-offs of mereological monism: the possibility of gunk and the thesis of composition as (...)
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  • Composition, identity and plural ontology.Roberto Loss - 2020 - Synthese 198 (10):9193-9210.
    According to ‘Strong Composition as Identity’, if an entity is composed of a plurality of entities, it is identical to them. As it has been argued in the literature, SCAI appears to give rise to some serious problems which seem to suggest that SCAI-theorists should take their plural quantifier to be governed by some ‘weak’ plural comprehension principle and, thus, ‘exclude’ some kinds of pluralities from their plural ontology. The aim of this paper is to argue that, contrary to what (...)
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  • Double-counting and the problem of the many.David Liebesman - 2020 - Philosophical Studies 178 (1):209-234.
    There is a defeasible constraint against double counting. When I count colours, for instance, I can’t freely count both a colour and its shades. Once we properly grasp this constraint, we can solve the problem of the many. Unlike other solutions, this solution requires us to reject neither our counting judgments, nor the metaphysical principles that seemingly conflict with them. The key is recognizing that the judgments and principles are compatible due to the targeted effects of the defeasible constraint.
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  • Grief and Composition as Identity.C. E. Garland - 2020 - Philosophical Quarterly 70 (280):464-479.
    ‘It feels like I have lost a part of myself’ is frequently uttered by those grieving the death of a loved one. Despite the ubiquity of such utterances, and the palpable sense that they express something true, few philosophers have considered what, if anything, accounts for their truth. Here, I develop a suggestion from Donald Baxter according to which Composition as Identity provides us a means to understand the grief utterances literally. In doing so, I identify and develop a version (...)
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  • Why the social sciences are irreducible.Tobias Hansson Wahlberg - 2019 - Synthese 196 (12):4961-4987.
    It is often claimed that the social sciences cannot be reduced to a lower-level individualistic science. The standard argument for this position is the Fodorian multiple realizability argument. Its defenders endorse token–token identities between “higher-level” social objects and pluralities/sums of “lower-level” individuals, but they maintain that the properties expressed by social science predicates are often multiply realizable, entailing that type–type identities between social and individualistic properties are ruled out. In this paper I argue that the multiple realizability argument for explanatory (...)
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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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  • No universalism without gunk? Composition as identity and the universality of identity.Manuel Lechthaler - 2019 - Synthese 198 (Suppl 18):4441-4452.
    Philosophers disagree whether composition as identity entails mereological universalism. Bricker :264–294, 2016) has recently considered an argument which concludes that composition as identity supports universalism. The key step in this argument is the thesis that any objects are identical to some object, which Bricker justifies with the principle of the universality of identity. I will spell out this principle in more detail and argue that it has an unexpected consequence. If the universality of identity holds, then composition as identity not (...)
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  • Composition as identity, Leibniz’s Law, and slice-sensitive emergent properties.Phillip Bricker - 2019 - Synthese:4389-4409.
    Moderate composition as identity holds that there is a generalized identity relation, “being the same portion of reality,” of which composition and numerical identity are distinct species. Composition is a genuine kind of identity; but unlike numerical identity, it fails to satisfy Leibniz’s Law. A composite whole and its parts differ with respect to their numerical properties: the whole is one; the parts (collectively) are many. Moderate composition as identity faces the challenge: how, in the absence of Leibniz’s Law, can (...)
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  • Is composition identity?Byeong-uk Yi - 2018 - Synthese 198 (Suppl 18):4467-4501.
    Say that some things compose something, if the latter is a whole, fusion, or mereological sum of the former. Then the thesis that composition is identity holds that the composition relation is a kind of identity relation, a plural cousin of singular identity. On this thesis, any things that compose a whole are identical with the whole. This article argues that the thesis is incoherent. To do so, the article formulates the thesis in a plural language, a symbolic language that (...)
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  • Temporary and Contingent Instantiation as Partial Identity.Donald L. M. Baxter - 2018 - International Journal of Philosophical Studies 26 (5):763-780.
    ABSTRACT An apparent objection against my theory of instantiation as partial identity is that identity is necessary, yet instantiation is often contingent. To rebut the objection, I show how it can make sense that identity is contingent. I begin by showing how it can make sense that identity is temporary. I rely heavily on Andre Gallois’s formal theory of occasional identity, but argue that there is a gap in his explanation of how his formalisms make sense that needs to be (...)
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  • Ditching Dependence and Determination: Or, How to Wear the Crazy Trousers.Michael Duncan, Kristie Miller & James Norton - 2021 - Synthese 198 (1):395–418.
    This paper defends Flatland—the view that there exist neither determination nor dependence relations, and that everything is therefore fundamental—from the objection from explanatory inefficacy. According to that objection, Flatland is unattractive because it is unable to explain either the appearance as of there being determination relations, or the appearance as of there being dependence relations. We show how the Flatlander can meet the first challenge by offering four strategies—reducing, eliminating, untangling and omnizing—which, jointly, explain the appearance as of there being (...)
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  • Contingent composition as identity.Giorgio Lando & Massimiliano Carrara - 2018 - Synthese.
    When the necessity of identity (NI) is combined with composition as identity (CAI), the contingency of composition (CC) is at risk. In the extant literature, either NI is seen as the basis for a refutation of CAI or CAI is associated with a theory of modality, such that: either NI is renounced (if counterpart theory is adopted); or CC is renounced (if the theory of modal parts is adopted). In this paper, we investigate the prospects of a new variety of (...)
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  • Failure of Boredom: The Pendulum of Composition as Identity.Claudio Calosi - 2018 - American Philosophical Quarterly 55 (3):281-292.
    This paper provides new arguments for the following claim: either strong composition as identity cannot retain the full strength of both the logical principles of one-one identity and its semantical principles or it only delivers cases of boring composition in that it entails mereological nihilism.
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  • Is Mereology Ontologically Innocent? Well, it Depends….Christian J. Feldbacher-Escamilla - 2019 - Philosophia 47 (2):395-424.
    Mereology, the theory of parts and wholes, is sometimes used as a framework for categorisation because it is regarded as ontologically innocent in the sense that the mereological fusion of some entities is nothing over and above the entities. In this paper it is argued that an adequate answer to the question of whether the thesis of the ontological innocence of mereology holds relies crucially on the underlying theory of reference. It is then shown that upholding the thesis comes at (...)
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  • Each Thing Is Fundamental: Against Hylomorphism and Hierarchical Structure.M. Oreste Fiocco - 2019 - American Philosophical Quarterly 56 (3):289-301.
    Each thing is fundamental. Not only is no thing any more or less real than any other, but no thing is prior to another in any robust ontological sense. Thus, no thing can explain the very existence of another, nor account for how another is what it is. I reach this surprising conclusion by undermining two important positions in contemporary metaphysics: hylomorphism and hierarchical views employing so-called building relations, such as grounding. The paper has three main parts. First, I observe (...)
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  • Mereological Composition and Plural Quantifier Semantics.Manuel Lechthaler & Ceth Lightfield - 2018 - Philosophia 46 (4):943-958.
    Mereological universalists and nihilists disagree on the conditions for composition. In this paper, we show how this debate is a function of one’s chosen semantics for plural quantifiers. Debating mereologists have failed to appreciate this point because of the complexity of the debate and extraneous theoretical commitments. We eliminate this by framing the debate between universalists and nihilists in a formal model where these two theses about composition are contradictory. The examination of the two theories in the model brings clarity (...)
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  • Fusion First.Shieva Kleinschmidt - 2017 - 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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  • Applications and Extensions of Counterpart Theory.Peterson Bridgette - 2017 - Dissertation, University of Massachusetts Amherst
    An exploration of the details of counterpart theory, and some applications of the view. In Chapter 1, I set out the view and clarify the most important features: that the counterpart relation is a context dependent similarity relation, and that individuals are world-bound entities. I then set out what I take to be the most promising methods of filling in important details. Chapter 2 is a discussion of an alternative view, lump theory. I attempt to distinguish lump theory from counterpart (...)
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  • Composition and Relative Counting.Massimiliano Carrara & Giorgio Lando - 2017 - Dialectica 71 (4):489-529.
    According to the so-called strong variant of Composition as Identity (CAI), the Principle of Indiscernibility of Identicals can be extended to composition, by resorting to broadly Fregean relativizations of cardinality ascriptions. In this paper we analyze various ways in which this relativization could be achieved. According to one broad variety of relativization, cardinality ascriptions are about objects, while concepts occupy an additional argument place. It should be possible to paraphrase the cardinality ascriptions in plural logic and, as a consequence, relative (...)
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  • Mereological Nihilism and the Problem of Emergence.David Michael Cornell - 2017 - American Philosophical Quarterly 54 (1):77-87.
    Mereological nihilism is the view that there are no composite objects; everything in existence is mereologically simple. The view is subject to a number of difficulties, one of which concerns what I call the problem of emergence. Very briefly, the problem is that nihilism seems to be incompatible with emergent properties; it seems to rule out their very possibility. This is a problem because there are good independent reasons to believe that emergent properties are possible. This paper provides a solution (...)
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  • Self‐Differing, Aspects, and Leibniz's Law.Donald L. M. Baxter - 2018 - Noûs 52:900-920.
    I argue that an individual has aspects numerically identical with it and each other that nonetheless qualitatively differ from it and each other. This discernibility of identicals does not violate Leibniz's Law, however, which concerns only individuals and is silent about their aspects. They are not in its domain of quantification. To argue that there are aspects I will appeal to the internal conflicts of conscious beings. I do not mean to imply that aspects are confined to such cases, but (...)
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  • The Logic of the Trinity.Einar Duenger Bohn - 2011 - Sophia 50 (3):363-374.
    Roughly, the problem of the Trinity is the problem of how God can be one and yet be the Father, the Son, and the Holy Spirit, which are three, not one. That one thing is identical with three distinct things seems to violate traditional laws of identity. I propose a solution to this problem according to which it is just an ordinary claim of one-many identity. For example, one pair of shoes is identical with two shoes; and my one body (...)
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  • Combining Minds: A Defence of the Possibility of Experiential Combination.Luke Roelofs - 2015 - Dissertation, University of Toronto
    This thesis explores the possibility of composite consciousness: phenomenally conscious states belonging to a composite being in virtue of the consciousness of, and relations among, its parts. We have no trouble accepting that a composite being has physical properties entirely in virtue of the physical properties of, and relations among, its parts. But a long­standing intuition holds that consciousness is different: my consciousness cannot be understood as a complex of interacting component consciousnesses belonging to parts of me. I ask why: (...)
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  • Counting on Strong Composition as Identity to Settle the Special Composition Question.Joshua Spencer - 2017 - Erkenntnis 82 (4):857-872.
    Strong Composition as Identity is the thesis that necessarily, for any xs and any y, those xs compose y iff those xs are non-distributively identical to y. Some have argued against this view as follows: if some many things are non-distributively identical to one thing, then what’s true of the many must be true of the one. But since the many are many in number whereas the one is not, the many cannot be identical to the one. Hence is mistaken. (...)
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  • Physicalism Requires Functionalism: A New Formulation and Defense of the Via Negativa.Justin Tiehen - 2016 - Philosophy and Phenomenological Research 93 (1):3-24.
    How should ‘the physical’ be defined for the purpose of formulating physicalism? In this paper I defend a version of the via negativa according to which a property is physical just in case it is neither fundamentally mental nor possibly realized by a fundamentally mental property. The guiding idea is that physicalism requires functionalism, and thus that being a type identity theorist requires being a realizer-functionalist. In §1 I motivate my approach partly by arguing against Jessica Wilson's no fundamental mentality (...)
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  • The man without properties.Boris Hennig - 2017 - Synthese 194 (6).
    Contemporary philosophical logic rests on a distinction between things and properties. Properties are thought to differ from things in that their proper expression is incomplete or unsaturated. In this paper, I will argue that Aristotle did not distinguish between things and properties in this way. I will show, first, that Aristotle’s essences are not properties, and that certain passages in Aristotle make sense only if we do not take accidents to be properties either. The notion of a property is thus (...)
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  • Composition.Daniel Z. Korman & Chad Carmichael - 2016 - Oxford Handbooks Online.
    When some objects are the parts of another object, they compose that object and that object is composite. This article is intended as an introduction to the central questions about composition and a highly selective overview of various answers to those questions. In §1, we review some formal features of parthood that are important for understanding the nature of composition. In §2, we consider some answers to the question: which pluralities of objects together compose something? As we will see, the (...)
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  • The ontological parsimony of mereology.Jeroen Smid - 2015 - Philosophical Studies 172 (12):3253-3271.
    Lewis famously argued that mereology is ontologically innocent. Many who have considered this claim believe he was mistaken. Mereology is not innocent, because its acceptance entails the acceptance of sums, new objects that were not previously part of one’s ontology. This argument, the argument from ontological parsimony, has two versions: a qualitative and a quantitative one. I argue that the defender of mereology can neutralize both arguments by holding that, given mereology, a commitment to the parts of an object is (...)
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  • ∈ : Formal concepts in a material world truthmaking and exemplification as types of determination.Philipp Keller - 2007 - Dissertation, University of Geneva
    In the first part ("Determination"), I consider different notions of determination, contrast and compare modal with non-modal accounts and then defend two a-modality theses concerning essence and supervenience. I argue, first, that essence is a a-modal notion, i.e. not usefully analysed in terms of metaphysical modality, and then, contra Kit Fine, that essential properties can be exemplified contingently. I argue, second, that supervenience is also an a-modal notion, and that it should be analysed in terms of constitution relations between properties. (...)
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  • (1 other version)Causally Redundant Social Objects: Rejoinder to Elder-Vass.Tobias Hansson Wahlberg - 2014 - Philosophy of the Social Sciences 44 (6):798-809.
    In Elder-Vass’s response to my critical discussion of his social ontology, it is maintained (1) that a social object is not identical with but is merely composed of its suitably interrelated parts, (2) that a social object is necessarily indistinguishable in terms of its causal capacities from its interrelated parts, and (3) that ontological individualism lacks an adequate ontological justification. In this reply, I argue that in view of (1) the so-called redescription principle defended by Elder-Vass ought to be reformulated (...)
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  • From Hume's Dictum Via Submergence to Composition as Identity or Mereological Nihilism.Einar Duenger Bohn - 2014 - Pacific Philosophical Quarterly 95 (1):336-355.
    I show that a particular version of Hume's Dictum together with the falsity of Composition as Identity entails an incoherency, so either that version of Hume's Dictum is false or Composition as Identity is true. I conditionally defend the particular version of Hume's Dictum in play, and hence conditionally conclude that Composition as Identity is true. I end by suggesting an alternative way out for a persistent foe of Composition as Identity, namely mereological nihilism.
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  • Is there a plural object?Byeong-Uk Yi - 2014 - In Aaron J. Cotnoir & Donald L. M. Baxter (eds.), Composition as Identity. Oxford: Oxford University Press USA.
    A plurality or plural object is a single object that is also many, and pluralitism is the thesis that there is such an object. This paper argues that pluralitism and closely related theses (e.g., the many-one identity thesis and the composition as identity thesis) violate logic. To do so, it formulates an approach to the logic and semantics of plural constructions that results in plural logic and relates treatments of plural constructions to accounts of natural number. And it gives a (...)
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  • Bradley’s Regress.Anna-Sofia Maurin - 2012 - Philosophy Compass 7 (11):794-807.
    Ever since F. H. Bradley first formulated his famous regress argument philosophers have been hard at work trying to refute it. The argument fails, it has been suggested, either because its conclusion just does not follow from its premises, or it fails because one or more of its premises should be given up. In this paper, the Bradleyan argument, as well as some of the many and varied reactions it has received, is scrutinized.
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  • Composition as Identity: Part 1.Meg Wallace - 2011 - Philosophy Compass 6 (11):804-816.
    Many of us think that ordinary objects – such as tables and chairs – exist. We also think that ordinary objects have parts: my chair has a seat and some legs as parts, for example. But once we are committed to the (seemingly innocuous) thesis that ordinary objects are composed of parts, we then open ourselves up to a whole host of philosophical problems, most of which center on what exactly the composition relation is. Composition as Identity (CI) is the (...)
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  • Composition as Identity: Part 2.Meg Wallace - 2011 - Philosophy Compass 6 (11):817-827.
    Many of us think that ordinary objects – such as tables and chairs – exist. We also think that ordinary objects have parts: my chair has a seat and some legs as parts, for example. But once we are committed to the (seemingly innocuous) thesis that ordinary objects are composed of parts, we then open ourselves up to a whole host of philosophical problems, most of which center on what exactly this composition relation is. Composition as Identity (CI) is the (...)
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  • Ordinary objects.Daniel Z. Korman - 2011 - Stanford Encyclopedia of Philosophy.
    An encyclopedia entry which covers various revisionary conceptions of which macroscopic objects there are, and the puzzles and arguments that motivate these conceptions: sorites arguments, the argument from vagueness, the puzzles of material constitution, arguments against indeterminate identity, arguments from arbitrariness, debunking arguments, the overdetermination argument, and the problem of the many.
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  • Monism: The Priority of the Whole.Jonathan Schaffer - 2010 - Philosophical Review 119 (1):31-76.
    Consider a circle and a pair of its semicircles. Which is prior, the whole or its parts? Are the semicircles dependent abstractions from their whole, or is the circle a derivative construction from its parts? Now in place of the circle consider the entire cosmos (the ultimate concrete whole), and in place of the pair of semicircles consider the myriad particles (the ultimate concrete parts). Which if either is ultimately prior, the one ultimate whole or its many ultimate parts?
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