Results for 'Mereology'

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  1. Mereological Nihilism and Puzzles About Material Objects.Bradley Rettler - 2018 - Pacific Philosophical Quarterly 99 (4):842-868.
    Mereological nihilism is the view that no objects have proper parts. Despite how counter‐intuitive it is, it is taken quite seriously, largely because it solves a number of puzzles in the metaphysics of material objects – or so its proponents claim. In this article, I show that for every puzzle that mereological nihilism solves, there is a similar puzzle that (a) it doesn’t solve, and (b) every other solution to the original puzzle does solve. Since the solutions to the new (...)
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  2. Mereological Nihilism and Theoretical Unification.Andrew Brenner - 2015 - Analytic Philosophy 56 (4):318-337.
    Mereological nihilism (henceforth just "nihilism") is the thesis that composition never occurs. Nihilism has often been defended on the basis of its theoretical simplicity, including its ontological simplicity and its ideological simplicity (roughly, nihilism's ability to do without primitive mereological predicates). In this paper I defend nihilism on the basis of the theoretical unification conferred by nihilism, which is, roughly, nihilism's capacity to allow us to take fewer phenomena as brute and inexplicable. This represents a respect in which nihilism enjoys (...)
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  3. Mereological Nihilism and the Special Arrangement Question.Andrew Brenner - 2015 - Synthese 192 (5):1295-1314.
    Mereological nihilism is the thesis that composite objects—objects with proper parts—do not exist. Nihilists generally paraphrase talk of composite objects F into talk of there being “xs arranged F-wise” . Recently several philosophers have argued that nihilism is defective insofar as nihilists are either unable to say what they mean by such phrases as “there are xs arranged F-wise,” or that nihilists are unable to employ such phrases without incurring significant costs, perhaps even undermining one of the chief motivations for (...)
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  4. Mereology and Ideology.Andrew Brenner - forthcoming - Synthese:1-18.
    Mereological nihilism is the thesis that composition never occurs. Sider has defended nihilism on the basis of its relative ideological simplicity. In this paper I develop the argument from ideological simplicity, and defend it from some recent objections. Along the way I discuss the best way to formulate nihilism, what it means for a theory to exhibit lesser or greater degrees of ideological simplicity, the relationship between the parthood relation and the identity relation, and the notion that we should judge (...)
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  5. Mereological Nihilism and Personal Ontology.Andrew Brenner - 2017 - Philosophical Quarterly 67 (268).
    Mereological nihilists hold that composition never occurs, so that nothing is ever a proper part of anything else. Substance dualists generally hold that we are each identical with an immaterial soul. In this paper, I argue that every popular objection to substance dualism has a parallel objection to composition. This thesis has some interesting implications. First, many of those who reject composition, but accept substance dualism, or who reject substance dualism and accept composition, have some explaining to do. Secondly, one (...)
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  6. Mereological Nihilism: Quantum Atomism and the Impossibility of Material Constitution.Jeffrey Grupp - 2006 - Axiomathes 16 (3):245-386.
    Mereological nihilism is the philosophical position that there are no items that have parts. If there are no items with parts then the only items that exist are partless fundamental particles, such as the true atoms (also called philosophical atoms) theorized to exist by some ancient philosophers, some contemporary physicists, and some contemporary philosophers. With several novel arguments I show that mereological nihilism is the correct theory of reality. I will also discuss strong similarities that mereological nihilism has with empirical (...)
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  7. Against Mereological Panentheism.Oliver D. Crisp - 2019 - European Journal for Philosophy of Religion 11 (2):23-41.
    In this paper I offer an argument against one important version of panentheism, that is, mereological panentheism. Although panentheism has proven difficult to define, I provide a working definition of the view, and proceed to argue that given this way of thinking about the doctrine, mereological accounts of panentheism have serious theological drawbacks. I then explore some of these theological drawbacks. In a concluding section I give some reasons for thinking that the classical theistic alternative to panentheism is preferable, all (...)
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  8. 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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  9. Biological-Mereological Coincidence.Judith K. Crane - 2012 - Philosophical Studies 161 (2):309-325.
    This paper presents and defends an account of the coincidence of biological organisms with mereological sums of their material components. That is, an organism and the sum of its material components are distinct material objects existing in the same place at the same time. Instead of relying on historical or modal differences to show how such coincident entities are distinct, this paper argues that there is a class of physiological properties of biological organisms that their coincident mereological sums do not (...)
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  10. 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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  11. 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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  12. 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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  13. 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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  14. Non‐Mereological Universalism.Kristie Miller - 2006 - European Journal of Philosophy 14 (3):404-422.
    In this paper I develop a version of universalism that is non-mereological. Broadly speaking, non-mereological universalism is the thesis that for any arbitrary set of objects and times, there is a persisting object which, at each of those times, will be constituted by those of the objects that exist at that time. I consider two general versions of non-mereological universalism, one which takes basic simples to be enduring objects, and the other which takes simples to be instantaneous objects. This yields (...)
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  15. 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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  16. Occupy Wall: A Mereological Puzzle and the Burdens of Endurantism.Paul Richard Daniels - 2014 - Australasian Journal of Philosophy 92 (1):91-101.
    Endurantists have recently faced a mereological puzzle in various forms. Here I argue that, instead of presenting a genuine worry, the puzzle actually reveals a common misunderstanding about the endurantist ontology. Furthermore, through this discussion of the alleged problem and the misunderstanding which motivates it, I reveal metaphysical commitments the endurantist has that may not be widely recognized. For instance, she is committed to interesting and perhaps controversial views about shape and location. I highlight these commitments and what they mean (...)
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  17. ‘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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  18. The Nonclassical Mereology of Olfactory Experiences.Błażej Skrzypulec - 2019 - Synthese 198 (1):867-886.
    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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  19. 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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  20. Non-Transitive Parthood, Leveled Mereology, and the Representation of Emergent Parts of Processes.Johanna Seibt - 2014 - Grazer Philosophische Studien 91:161-190.
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  21. What is Nominalistic Mereology?Jeremy Meyers - 2012 - Journal of Philosophical Logic 43 (1):71-108.
    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 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal {H}_{\textsf {m}}$\end{document} is maximally acceptable for nominalistic mereology. In an extension \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal {H}_{\textsf {gem}}$\end{document} of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal {H}_{\textsf {m}}$\end{document}, a modal (...)
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  22. 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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  23. 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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  24.  63
    The Mereological Problem of Entanglement.Paul M. Näger - manuscript
    The mereological problem of entanglement concerns the question which objects there are on the micro and macro level, when a system is in an entangled state, and which of the objects carries which properties. This paper systematically investigates which of the conceivable mereological models for entangled quantum systems is compatible with the quantum mechanical evidence. It reveals that entangled quantum systems neither describe undivided wholes nor objects that stand in irreducible relations. The appropriate model claims that the entangled property is (...)
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  25. 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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  26. 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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  27. 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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  28. 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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  29. 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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  30. Topological Representations of Mereological Systems.Thomas Mormann - 2000 - Poznan Studies in the Philosophy of the Sciences and the Humanities 76:463 -486.
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  31. Multiple-Domain Supervenience for Non-Classical Mereologies.Ralf M. Bader - forthcoming - In Ontological Dependence and Supervenience. Philosophia.
    This paper develops co-ordinated multiple-domain supervenience relations to model determination and dependence relations between complex entities and their constituents by appealing to R-related pairs and by making use of associated isomorphisms. Supervenience relations are devised for order-sensitive and repetition-sensitive mereologies, for mereological systems that make room for many-many composition relations, as well as for hierarchical mereologies that incorporate compositional and hylomorphic structure. Finally, mappings are provided for theories that consider wholes to be prior to their parts.
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  32. 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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  33.  41
    Mereology.Ben Blumson - 2021 - Archive of Formal Proofs.
    The interactive theorem prover Isabelle/HOL is used to verify elementary theorems of classical extensional mereology.
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  34.  9
    A Taxonomy for the Mereology of Entangled Quantum Systems.Paul M. Näger & Niko Strobach - manuscript
    The emerging field of quantum mereology considers part-whole relations in quantum systems. Entangled quantum systems pose a peculiar problem in the field, since their total states are not reducible to that of their parts. While there exist several established proposals for modelling entangled systems, like monistic holism or relational holism, there is considerable unclarity, which further positions are available. Using the lambda operator and plural logic as formal tools, we review and develop conceivable models and evaluate their consistency and (...)
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  35.  51
    Mereological Composition in Analytic and Buddhist Perspective.Nicholaos Jones - forthcoming - Journal of the American Philosophical Association:1-22.
    Comparing Buddhist and contemporary analytic views about mereological composition reveals significant dissimilarities about the purposes that constrain successful answers to mereological questions, the kinds of considerations taken to be probative in justifying those answers, and the value of mereological inquiry. I develop these dissimilarities by examining three questions relevant to those who deny the existence of composite wholes. The first is a question of justification: What justifies denying the existence of composite wholes as more reasonable than affirming their existence? The (...)
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  36. Structural Mereology: A Formal Elucidation and Some Metaphysical Applications.Thomas Mormann - manuscript
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  37. Mereology in Aristotle's Assertoric Syllogistic.Justin Vlasits - 2019 - History and Philosophy of Logic 40 (1):1-11.
    How does Aristotle think about sentences like ‘Every x is y’ in the Prior Analytics? A recently popular answer conceives of these sentences as expressing a mereological relationship between x and y: the sentence is true just in case x is, in some sense, a part of y. I argue that the motivations for this interpretation have so far not been compelling. I provide a new justification for the mereological interpretation. First, I prove a very general algebraic soundness and completeness (...)
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  38. 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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  39. Mereology and Identity.Massimiliano Carrara & Giorgio Lando - forthcoming - Synthese:1-23.
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  40. Mereology & Location (Edited by Shieva Kleinschmidt, OUP). [Book Review]. [REVIEW]Paul Richard Daniels - 2015 - Philosophical Quarterly 65 (260):561-564.
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  41. The Limits of Classical Mereology: Mixed Fusions and the Failures of Mereological Hybridism.Joshua Kelleher - 2020 - Dissertation, The University of Queensland
    In this thesis I argue against unrestricted mereological hybridism, the view that there are absolutely no constraints on wholes having parts from many different logical or ontological categories, an exemplar of which I take to be ‘mixed fusions’. These are composite entities which have parts from at least two different categories – the membered (as in classes) and the non-membered (as in individuals). As a result, mixed fusions can also be understood to represent a variety of cross-category summation such as (...)
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  42. Expansionism and Mereological Universalism.Giorgio Lando - 2020 - Theoria 86 (2):187-219.
    Mereological universalists, according to whom every plurality of entities has a fusion, usually claim that most quantifications are restricted to ordinary entities. However, there is no evidence that our usual quantifications over ordinary objects are restricted. In this article I explore an alternative way of reconciling Mereological Universalism with our usual quantifications. I resort to a modest form of ontological expansionism and to the so-called interpretational modalities. Quantifications over ordinary objects are the initial stages of the expansion. From these initial (...)
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  43.  95
    Plurals and Mereology.Salvatore Florio & David Nicolas - forthcoming - Journal of Philosophical Logic:1-31.
    In linguistics, the dominant approach to the semantics of plurals appeals to mereology. However, this approach has received strong criticisms from philosophical logicians who subscribe to an alternative framework based on plural logic. In the first part of the article, we offer a precise characterization of the mereological approach and the semantic background in which the debate can be meaningfully reconstructed. In the second part, we deal with the criticisms and assess their logical, linguistic, and philosophical significance. We identify (...)
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  44. 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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  45. Quantum Gravity and Mereology: Not So Simple.Samuel Baron & Baptiste Le Bihan - 2021 - Philosophical Quarterly.
    A number of philosophers have argued in favour of extended simples on the grounds that they are needed by fundamental physics. The arguments typically appeal to theories of quantum gravity. To date, the argument in favour of extended simples has ignored the fact that the very existence of spacetime is put under pressure by quantum gravity. We thus consider the case for extended simples in the context of different views on the existence of spacetime. We show that the case for (...)
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  46. The Concreteness of Objects: An Argument Against Mereological Bundle Theory.Uriah Kriegel - forthcoming - Synthese:1-18.
    In a series of publications, L. A. Paul has defended a version of the bundle theory according to which material objects are nothing but mereological sums of ‘their’ properties. This ‘mereological’ bundle theory improves in important ways on earlier bundle theories, but here I present a new argument against it. The argument is roughly this: 1) Material objects occupy space; 2) even if properties have spatial characteristics, they do not quite occupy space; 3) on no plausible construal of mereological composition (...)
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  47. An Extensionalist's Guide to Non-Extensional Mereology.Josh Parsons - manuscript
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  48. 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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  49. No Simples, No Gunk, No Nothing.Sam Cowling - 2014 - Pacific Philosophical Quarterly 95 (1):246-260.
    Mereological realism holds that the world has a mereological structure – i.e. a distribution of mereological properties and relations. In this article, I defend Eleaticism about properties, according to which there are no causally inert non-logical properties. I then present an Eleatic argument for mereological anti-realism, which denies the existence of both mereological composites and mereological simples. After defending Eleaticism and mereological anti-realism, I argue that mereological anti-realism is preferable to mereological nihilism. I then conclude by examining the thesis that (...)
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  50. The Extensionality of Parthood and Composition.Achille C. Varzi - 2008 - Philosophical Quarterly 58 (230):108-133.
    I focus on three mereological principles: the Extensionality of Parthood (EP), the Uniqueness of Composition (UC), and the Extensionality of Composition (EC). These principles are not equivalent. Nonetheless, they are closely related (and often equated) as they all reflect the basic nominalistic dictum, No difference without a difference maker. And each one of them—individually or collectively—has been challenged on philosophical grounds. In the first part I argue that such challenges do not quite threaten EP insofar as they are either self-defeating (...)
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