Results for 'mereology'

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Bibliography: Mereology in Metaphysics
Bibliography: Mereology, Misc in Metaphysics
  1. A Spatial Approach to Mereology.Ned Markosian - 2014 - In Shieva Keinschmidt (ed.), Mereology and Location. Oxford University Press.
    When do several objects compose a further object? The last twenty years have seen a great deal of discussion of this question. According to the most popular view on the market, there is a physical object composed of your brain and Jeremy Bentham’s body. According to the second-most popular view on the market, there are no such objects as human brains or human bodies, and there are also no atoms, rocks, tables, or stars. And according to the third-ranked view, there (...)
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  2. Brentano's Mereology.Uriah Kriegel - manuscript
    My approach to the exposition of Brentano's mereology is to first introduce the basics of Classical Mereology and then point out the respects in which Brentano's mereology deviates from it. There are two such respects: first, Brentano rejects the axiom of supplementation; second, he distinguishes two primitive notions of parthood.
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  3. Heyting Mereology as a Framework for Spatial Reasoning.Thomas Mormann - 2013 - Axiomathes 23 (1):137- 164.
    In this paper it is shown that Heyting and Co-Heyting mereological systems provide a convenient conceptual framework for spatial reasoning, in which spatial concepts such as connectedness, interior parts, (exterior) contact, and boundary can be defined in a natural and intuitively appealing way. This fact refutes the wide-spread contention that mereology cannot deal with the more advanced aspects of spatial reasoning and therefore has to be enhanced by further non-mereological concepts to overcome its congenital limitations. The allegedly unmereological concept (...)
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  4. What is Nominalistic Mereology?Jeremy Meyers - 2012 - Journal of Philosophical Logic (DOI 10.1007/S10992-012-9252-4) (1):1-38.
    Abstract Hybrid languages are introduced in order to evaluate the strength of “minimal” mereologies with relatively strong frame definability properties. Appealing to a robust form of nominalism, I claim that one investigated language Hm is maximally acceptable for nominalistic mereology. In an extension Hgem of Hm, a modal analog for the classical systems of Leonard and Goodman (J Symb Log 5:45–55, 1940) and Lesniewski (1916) is introduced and shown to be complete with respect to 0- deleted Boolean algebras. We (...)
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  5. On the Infinite in Mereology with Plural Quantification.Massimiliano Carrara & Enrico Martino - 2011 - Review of Symbolic Logic 4 (1):54-62.
    In Lewis reconstructs set theory using mereology and plural quantification (MPQ). In his recontruction he assumes from the beginning that there is an infinite plurality of atoms, whose size is equivalent to that of the set theoretical universe. Since this assumption is far beyond the basic axioms of mereology, it might seem that MPQ do not play any role in order to guarantee the existence of a large infinity of objects. However, we intend to demonstrate that mereology (...)
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  6.  27
    The Nonclassical Mereology of Olfactory Experiences.Błażej Skrzypulec - forthcoming - Synthese:1-20.
    While there is a growing philosophical interest in analysing olfactory experiences, the mereological structure of odours considered in respect of how they are perceptually experienced has not yet been extensively investigated. The paper argues that odours are perceptually experienced as having a mereological structure, but this structure is significantly different from the spatial mereological structure of visually experienced objects. Most importantly, in the case of the olfactory part-structure, the classical weak supplementation principle is not satisfied. This thesis is justified by (...)
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  7. Unity, Mereology and Connectivity.Farid Masrour - 2014 - Analysis 74 (3):509-520.
    The goal of this paper is to raise a few questions about Bayne s mereological account of the unity of consciousness. In Section 1, I raise a few clarificatory questions about the account and the thesis that consciousness is necessarily unified. In Sections 2 and 3, I offer an alternative view of unity of consciousness and contrast it with Bayne's view. I call this view the connectivity account. These sections prepare the ground for the main question of this article: why (...)
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  8. Natural Properties, Supervenience, and Mereology.Andrea Borghini & Giorgio Lando - 2011 - Humana Mente 4 (19):79-104.
    The interpretation of Lewis‘s doctrine of natural properties is difficult and controversial, especially when it comes to the bearers of natural properties. According to the prevailing reading – the minimalist view – perfectly natural properties pertain to the micro-physical realm and are instantiated by entities without proper parts or point-like. This paper argues that there are reasons internal to a broadly Lewisian kind of metaphysics to think that the minimalist view is fundamentally flawed and that a liberal view, according to (...)
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  9. Pantheism, Quantification and Mereology.Graham Oppy - 1997 - The Monist 80 (2):320-336.
    I provide a classification of varieties of pantheism. I argue that there are two different kinds of commitments that pantheists have. On the one hand, there is an ontological commitment to the existence of a sum of all things. On the other hand, there is an ideological commitment: either collectively or distributively, the sum of all things is divine.
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  10. Structural Mereology: A Formal Elucidation and Some Metaphysical Applications.Thomas Mormann - manuscript
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  11. Fazang's Total Power Mereology: An Interpretive Analytic Reconstruction.Nicholaos Jones - 2009 - Asian Philosophy 19 (3):199-211.
    In his _Treatise on the Golden Lion_, Fazang says that wholes are _in_ each of their parts and that each part of a whole _is_ every other part of the whole. In this paper, I offer an interpretation of these remarks according to which they are not obviously false, and I use this interpretation in order to rigorously reconstruct Fazang's arguments for his claims. On the interpretation I favor, Fazang means that the presence of a whole's part suffices for the (...)
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  12.  37
    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 (...)
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  13.  67
    An Extensionalist's Guide to Non-Extensional Mereology.Josh Parsons - manuscript
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  14. Essential Dependence, Truthmaking, and Mereology: Then and Now.Ross Inman - 2012 - In Lukas Novak, Daniel D. Novotny, Prokop Sousedik & David Svoboda (eds.), Metaphysics: Aristotelian, Scholastic, Analytic. Ontos Verlag. pp. 73-90.
    One notable area in analytic metaphysics that has seen a revival of Aristotelian and scho- lastic inspired metaphysics is the return to a more robust construal of the notion of essence, what some have labelled “real” or “serious” essentialism. However, it is only recently that this more robust notion of essence has been implemented into the debate on truthmaking, mainly by the work of E. J. Lowe. The first part of the paper sets out to explore the scholastic roots of (...)
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  15. Updating Classical Mereology.Thomas Mormann - 2009 - In C. Glymour, D. Westerstahl & W. Wang (eds.), Logic, Methodology and Philosophy of Science. Proceedings of the 13th International Congress. King’s College.
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  16. Rethinking Wholes and Parts: Reflections on Reductionism, Holism, and Mereology.Mark Sharlow - manuscript
    In this set of excerpts from an earlier book, I examine some philosophical issues surrounding the whole-part relationship. I present a series of thought experiments and other arguments designed to undermine the view that wholes are "nothing but" their parts.
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  17.  17
    Natural Properties, Supervenience, and Mereology.Andrea Borghini & Giorgio Lando - 2011 - Humana Mente 4 (19).
    The interpretation of Lewis‘s doctrine of natural properties is difficult and controversial, especially when it comes to the bearers of natural properties. According to the prevailing reading – the minimalist view – perfectly natural properties pertain to the micro-physical realm and are instantiated by entities without proper parts or point-like. This paper argues that there are reasons internal to a broadly Lewisian kind of metaphysics to think that the minimalist view is fundamentally flawed and that a liberal view, according to (...)
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  18.  74
    Fuzzy Mereology.Josh Parsons - unknown
    This paper began life as a short section of a more general paper about non-classical mereologies. In that paper I had a mereological theory that I wanted to show could be applied to all sorts of different metaphysical positions — notably, to those positions that believe in mereological vagueness in re — in “vague individuals”. To do that I felt I first had to dispatch the leading rival theory of vague individuals, which is due to Peter van Inwa-gen, and holds (...)
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  19.  51
    Mereology & Location (Edited by Shieva Kleinschmidt, OUP). [Book Review]. [REVIEW]Paul Richard Daniels - 2015 - Philosophical Quarterly 65 (260):561-564.
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  20. Mereological Sums and Singular Terms.Kathrin Koslicki - 2014 - In Shieva Kleinschmidt (ed.), Mereology and Location. Oxford University Press. pp. 209-235.
    The relative merits of standard mereology have received quite a bit of attention in recent years from metaphysicians concerned with the part/whole properties of material objects. A question that has not been pursued to the same degree, however, is what sort of semantic repercussions a commitment to mereological sums in the standard sense might have in particular on the predicted behavior of singular terms and our practices of using such terms to refer to objects. The apparent mismatch between our (...)
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  21. Formal Theories of Parthood.Achille C. Varzi - 2014 - In Claudio Calosi & Pierluigi Graziani (eds.), Mereology and the Sciences: Parts and Wholes in the Contemporary Scientific Context. Springer Verlag. pp. 359–370.
    A compact overview of the main formal theories of parthood and of their mutual relationships, up to Classical Extensional Mereology. Written as an Appendix to the other essays included in the volume.
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  22. Parts of Propositions.Cody Gilmore - 2014 - In Shieva Kleinschmidt (ed.), Mereology and Location. Oxford University Press. pp. 156-208.
    Do Russellian propositions have their constituents as parts? One reason for thinking not is that if they did, they would generate apparent counterexamples to plausible mereological principles. As Frege noted, they would be in tension with the transitivity of parthood. A certain small rock is a part of Etna but not of the proposition that Etna is higher than Vesuvius. So, if Etna were a part of the given proposition, parthood would fail to be transitive. As William Bynoe has noted (...)
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  23. 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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  24. Strong Composition as Identity and Simplicity.Joshua Spencer - 2013 - Erkenntnis 78 (5):1177-1184.
    The general composition question asks “what are the necessary and jointly sufficient conditions any xs and any y must satisfy in order for it to be true that those xs compose that y?” Although this question has received little attention, there is an interesting and theoretically fruitful answer. Namely, strong composition as identity (SCAI): necessarily, for any xs and any y, those xs compose y iff those xs are identical to y. SCAI is theoretically fruitful because if it is true, (...)
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  25. The World is Either Digital or Analogue.Francesco Berto & Jacopo Tagliabue - 2014 - Synthese 191 (3):481-497.
    We address an argument by Floridi (Synthese 168(1):151–178, 2009; 2011a), to the effect that digital and analogue are not features of reality, only of modes of presentation of reality. One can therefore have an informational ontology, like Floridi’s Informational Structural Realism, without commitment to a supposedly digital or analogue world. After introducing the topic in Sect. 1, in Sect. 2 we explain what the proposition expressed by the title of our paper means. In Sect. 3, we describe Floridi’s argument. In (...)
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  26. A Note on the Transitivity of Parthood.Achille C. Varzi - 2006 - Applied Ontology 1 (2):141-146.
    That parthood is a transitive relation is among the most basic principles of classical mereology. Alas, it is also very controversial. In a recent paper, Ingvar Johansson has put forward a novel diagnosis of the problem, along with a corresponding solution. The diagnosis is on the right track, I argue, but the solution is misleading. And once the pieces are properly put together, we end up with a reinforcement of the standard defense of transitivity on behalf of classical (...). (shrink)
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  27. On the Mereological Structure of Complex States of Affairs.Thomas Mormann - 2012 - Synthese 187 (2):403-418.
    The aim of this paper is to elucidate the mereological structure of complex states of affairs without relying on the problematic notion of structural universals. For this task tools from graph theory, lattice theory, and the theory of relational systems are employed. Our starting point is the mereology of similarity structures. Since similarity structures are structured sets, their mereology can be considered as a generalization of the mereology of sets..
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  28. ‘Identity’ as a Mereological Term.Jeroen Smid - 2017 - Synthese 194 (7):2367-2385.
    The mereological predicate ‘is part of’ can be used to define the predicate ‘is identical with’. I argue that this entails that mereological theories can be ideologically simpler than nihilistic theories that do not use the notion of parthood—contrary to what has been argued by Ted Sider. Moreover, if one accepts an extensional mereology, there are good philosophical reasons apart from ideological simplicity to give a mereological definition of identity.
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  29. Ontologia i analiza logiczna rzeczywistości.Barry Smith - 1994 - Filozofia Nauki 2:5-22.
    The author attempts to show how mereology, taken together with certain topological notions, can yield the foundations for future investigations in formal ontology. He also attempts to show how the mereological framework allows for the direct and natural formulation of a series of theses - for example pertaining to the concept of a boundary - which can be only indirectly formulated (if at all) in set-theoretic terms. The far-reaching ain of the present framework is to serve as a basis (...)
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  30.  96
    How Objective Are Biological Functions?Marcel Weber - 2017 - Synthese 194 (12):4741-4755.
    John Searle has argued that functions owe their existence to the value that we put into life and survival. In this paper, I will provide a critique of Searle’s argument concerning the ontology of functions. I rely on a standard analysis of functional predicates as relating not only a biological entity, an activity that constitutes the function of this entity and a type of system but also a goal state. A functional attribution without specification of such a goal state has (...)
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  31. Bennett on Parts Twice Over.A. R. J. Fisher - 2013 - Philosophia 41 (3):757-761.
    In this paper I outline the main features of Karen Bennett’s (Australasian Journal of Philosophy 1–21, 2011) non-classical mereology, and identify its methodological costs. I argue that Bennett’s mereology cannot account for the composition of structural universals because it cannot explain the mereological difference between isomeric universals, such as being butane and being isobutane. I consider responses, which come at costs to the view.
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  32. Any Sum or Parts Which Are Water is Water.Henry Laycock - 2011 - Humana Mente 4 (19):41-55.
    Mereological entities often seem to violate ‘ordinary’ ideas of what a concrete object can be like, behaving more like sets than like Aristotelian substances. However, the mereological notions of ‘part’, ‘composition’, and ‘sum’ or ‘fusion’ appear to find concrete realisation in the actual semantics of mass nouns. Quine notes that ‘any sum of parts which are water is water’; and the wine from a single barrel can be distributed around the globe without affecting its identity. Is there here, as some (...)
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  33. The Mereological Foundation of Megethology.Massimiliano Carrara & Enrico Martino - 2016 - Journal of Philosophical Logic 45 (2):227-235.
    In Mathematics is megethology. Philosophia Mathematica, 1, 3–23) David K. Lewis proposes a structuralist reconstruction of classical set theory based on mereology. In order to formulate suitable hypotheses about the size of the universe of individuals without the help of set-theoretical notions, he uses the device of Boolos’ plural quantification for treating second order logic without commitment to set-theoretical entities. In this paper we show how, assuming the existence of a pairing function on atoms, as the unique assumption non (...)
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  34. A Taxonomy of Composition Operations.Jan Westerhoff - 2004 - Logique and Analyse 2004 (47):375-393.
    A set of parameters for classifying composition operations is introduced. These parameters determine whether a composition operation is 1) universal, 2) determinate, 3) whether there is a difference between possible and actual compositions, 4) whether there can be singleton compositions, 5) whether they give rise to a hierarchy, and 6) whether components of compositions can be repeated. Philosophical implications of these parameters (in particular in relation to set theory) and mereology are discussed.
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  35.  56
    Two Mereological Arguments Against the Possibility of an Omniscient Being.Joshua T. Spencer - 2006 - Philo 9 (1):62-72.
    In this paper I present two new arguments against the possibility of an omniscient being. My new arguments invoke considerations of cardinality and resemble several arguments originally presented by Patrick Grim. Like Grim, I give reasons to believe that there must be more objects in the universe than there are beliefs. However, my arguments will rely on certain mereological claims, namely that Classical Extensional Mereology is necessarily true of the part-whole relation. My first argument is an instance of a (...)
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  36. Topological Essentialism.Roberto Casati & Achille C. Varzi - 2000 - Philosophical Studies 100 (3):217-236.
    Considering topology as an extension of mereology, this paper analyses topological variants of mereological essentialism (the thesis that an object could not have different parts than the ones it has). In particular, we examine de dicto and de re versions of two theses: (i) that an object cannot change its external connections (e.g., adjacent objects cannot be separated), and (ii) that an object cannot change its topological genus (e.g., a doughnut cannot turn into a sphere). Stronger forms of structural (...)
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  37.  47
    The 1900 Turn in Bertrand Russell’s Logic, the Emergence of His Paradox, and the Way Out.Nikolay Milkov - 2017 - Siegener Beiträge Zur Geschichte Und Philosophie der Mathematik 7:29-50.
    Russell’s initial project in philosophy (1898) was to make mathematics rigorous reducing it to logic. Before August 1900, however, Russell’s logic was nothing but mereology. First, his acquaintance with Peano’s ideas in August 1900 led him to discard the part-whole logic and accept a kind of intensional predicate logic instead. Among other things, the predicate logic helped Russell embrace a technique of treating the paradox of infinite numbers with the help of a singular concept, which he called ‘denoting phrase’. (...)
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  38. Le strutture dell'ordinario.Achille C. Varzi - 1999 - In Luigi Lombardi Vallauri (ed.), Logos dell’essere, logos della norma. Editrice Adriatica. pp. 489–530.
    The general hypothesis underlying this work is that mereology (the study of the relations between an entity and its parts) and topology (understood as the study of the qualitative relations of connection and compactness) may jointly constitute adequate grounds for the formal-ontological analysis of the world of ordinary experience. The analysis focuses on certain minimal (structural) principles on the basis of which different philosophical theories may be erected.
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  39.  36
    Quantum Mechanics.Michael Silberstein - forthcoming - In Editors Seibt and Burkhard (ed.), Philosophia Verlag Handbook of Mereology.
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  40. Unity and Plurality. Philosophy, Logic, and Semantics.Massimiliano Carrara, Alessandra Arapinis & Friederike Moltmann - 2016 - Oxford University Press.
    This volume brings together new work on the logic and ontology of plurality and a range of recent articles exploring novel applications to natural language semantics. The contributions in this volume in particular investigate and extend new perspectives presented by plural logic and non-standard mereology and explore their applications to a range of natural language phenomena. Contributions by P. Aquaviva, A. Arapinis, M. Carrara, P. McKay, F. Moltmann, O. Linnebo, A. Oliver and T. Smiley, T. Scaltsas, P. Simons, and (...)
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  41.  90
    Topological Foundations of Cognitive Science.Carola Eschenbach, Christopher Habel & Barry Smith (eds.) - 1994 - Hamburg: Graduiertenkolleg Kognitionswissenschaft.
    A collection of papers presented at the First International Summer Institute in Cognitive Science, University at Buffalo, July 1994, including the following papers: -/- ** Topological Foundations of Cognitive Science, Barry Smith -/- ** The Bounds of Axiomatisation, Graham White -/- ** Rethinking Boundaries, Wojciech Zelaniec -/- ** Sheaf Mereology and Space Cognition, Jean Petitot -/- ** A Mereotopological Definition of 'Point', Carola Eschenbach -/- ** Discreteness, Finiteness, and the Structure of Topological Spaces, Christopher Habel -/- ** Mass Reference (...)
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  42. Percezione, Motivazione, Esistenza. Intenzionalità E Costituzione Nella Prima Fenomenologia Husserliana (1898-1921).Andrea Marchesi - 2017 - Dissertation, Università Degli Studi di Roma "La Sapienza"
    The present work is a systematic study of the nexus which holds together perception, motivation and existence in Husserl’s early writings—precisely those which are dated between 1898 and 1921. In Chapter I a historical and conceptual reconstruction of the genesis of what is termed ‘constitution problem’ is provided. After a thorough discussion about the distinction between real and intentional description, we elucidate the method of phenomenological reduction and show how the constitution problem relates to questions regarding transcendence and existence. Chapter (...)
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  43.  89
    Mundos possíveis, propriedades naturais e mereologia.Renato Rocha - 2017 - Dissertation, Universidade Federal de Santa Catarina
    I argue in this dissertation that natural properties play a central role in David Lewis' modal realism. To argue in favor of this thesis I present: a bottom-up explanation of a top-down possible world metaphysics; a new definition of natural properties and natural fusion, a new mereological operation. To achieve these aims, in the first chapter, I contextualize the discussion, in the second I resume the discussion about universals in contemporary philosophy and argue that, considering the distinct formulations of the (...)
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  44. A Sketch of a Sirenia: Meros Theory.Dan Kurth - manuscript
    This sketch of a perhaps future 'Elementary Theory of the Category of Mereological Sums (including Mereological Wholes and Parts)' relates to my previous papers "The Topos of Emergence" and "Intelligible Gunk". I assert that for successfully categorizing Mereology one has to start with a specific setting of gunk. In this paper we will give a sketch of a categorically version of particular mereological structures. I.e. we will follow the example of F.W.Lawvere’s “An elementary theory of the category of sets” (...)
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  45. Priority Monism Beyond Spacetime.Baptiste Le Bihan - 2018 - Metaphysica 19 (1):95-111.
    I will defend two claims. First, Schaffer's priority monism is in tension with many research programs in quantum gravity. Second, priority monism can be modified into a view more amenable to this physics. The first claim is grounded in the fact that promising approaches to quantum gravity such as loop quantum gravity or string theory deny the fundamental reality of spacetime. Since fundamental spacetime plays an important role in Schaffer's priority monism by being identified with the fundamental structure, namely the (...)
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  46.  47
    No Universalism Without Gunk? Composition as Identity and the Universality of Identity.Manuel Lechthaler - forthcoming - Synthese:1-12.
    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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  47. Restricted Composition.Ned Markosian - 2008 - In Theodore Sider, John Hawthorne & Dean W. Zimmerman (eds.), Contemporary Debates in Metaphysics. Blackwell. pp. 341--63.
    Let’s begin with a simple example. Consider two quarks: one near the tip of your nose, the other near the center of Alpha Centauri. Here is a question about these two subatomic particles: Is there an object that has these two quarks as its parts and that has no other parts? According to one view of the matter (a view that is surprisingly endorsed by a great many contemporary philosophers), the answer to this question is Yes. But I think it (...)
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  48. 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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  49. The Right Stuff.Ned Markosian - 2015 - Australasian Journal of Philosophy 93 (4):665-687.
    This paper argues for including stuff in one's ontology. The distinction between things and stuff is first clarified, and then three different ontologies of the physical universe are spelled out: a pure thing ontology, a pure stuff ontology, and a mixed ontology of both things and stuff. Eleven different reasons for including stuff in one's ontology are given. Then five objections to positing stuff are considered and rejected.
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  50. 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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