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Mereology

Stanford Encyclopedia of Philosophy (2016)

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  1. 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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  • Mathematics is Ontology? A Critique of Badiou's Ontological Framing of Set Theory.Roland Bolz - 2020 - Filozofski Vestnik 2 (41):119-142.
    This article develops a criticism of Alain Badiou’s assertion that “mathematics is ontology.” I argue that despite appearances to the contrary, Badiou’s case for bringing set theory and ontology together is problematic. To arrive at this judgment, I explore how a case for the identification of mathematics and ontology could work. In short, ontology would have to be characterised to make it evident that set theory can contribute to it fundamentally. This is indeed how Badiou proceeds in Being and Event. (...)
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  • Kenelm Digby (and Margaret Cavendish) on Motion.Daniel Whiting - 2024 - Journal of Modern Philosophy 6 (1):1-27.
    Motion—and, in particular, local motion or change in location—plays a central role in Kenelm Digby’s natural philosophy and in his arguments for the immateriality of the soul. Despite this, Digby’s account of what motion consists in has yet to receive much scholarly attention. In this paper, I advance a novel interpretation of Digby on motion. According to it, Digby holds that for a body to move is for it to divide from and unify with other bodies. This is a view (...)
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  • The Empty World as the Null Conjunction of States of Affairs.Rafael De Clercq - forthcoming - Erkenntnis:0-17.
    If possible worlds are conjunctions of states of affairs, as in David Armstrong’s combinatorial theory, then is the empty world to be thought of as the null conjunction of states of affairs? The proposal seems plausible, and has received support from David Efird, Tom Stoneham, and Armstrong himself. However, in this paper, it is argued that the proposal faces a trilemma: either it leads to the absurd conclusion that the actual world is empty; or it reduces to a familiar representation (...)
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  • Against Mereological Nominalism: Reply to Effingham.Javier Cumpa & Alexandre Declos - 2021 - Synthese 199 (3-4):8991-9011.
    Mereological Nominalism, as traditionally understood, states that properties are mereological wholes and that instantiation is mereological. Thus defined, this view faces a number of well-known issues, which make it virtually untenable. Recently, Effingham :160–185, 2020) has offered an alternative account of Mereological Nominalism, which intends to avoid these problems by accepting while rejecting. In this paper, we argue that this theory is not viable for two main reasons. First, it faces a threat of circularity. Second, the various non-mereological accounts of (...)
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  • Abelian mereology.Aaron Cotnoir - unknown
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  • Leibniz’s Argument Against Infinite Number.Filippo Costantini - 2019 - History of Philosophy & Logical Analysis 22 (1):203-218.
    This paper deals with Leibniz’s well-known reductio argument against the infinite number. I will show that while the argument is in itself valid, the assumption that Leibniz reduces to absurdity does not play a relevant role. The last paragraph of the paper reformulates the whole Leibnizian argument in plural terms to show that it is possible to derive the contradiction that Leibniz uses in his argument even in the absence of the premise that he refutes.
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  • A Mereological Reading of the Dictum de Omni et Nullo.Phil Corkum - forthcoming - Archiv für Geschichte der Philosophie.
    When Aristotle introduces the perfect moods, he refers back to the dictum de omni et nullo, a semantic condition for universal affirmations and negations. There recently has been renewed interest in the question whether the dictum validates the assertoric syllogistic. I rehearse evidence that Aristotle provides a mereological semantics for universal affirmations and negations, and note that this semantics entails a nonstandard reading of the dictum, under which the dictum, in the presence of a minimal logical apparatus, indeed validates the (...)
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  • Homunculi Are People Too! Lewis's Definition of Personhood Debugged.Cody Gilmore - 2017 - Thought: A Journal of Philosophy 6 (1):54-60.
    David Lewis defends the following "non-circular definition of personhood": "something is a continuant person if and only if it is a maximal R-interrelated aggregate of person-stages. That is: if and only if it is an aggregate of person-stages, each of which is R-related to all the rest (and to itself), and it is a proper part of no other such aggregate." I give a counterexample, involving a person who is a part of another, much larger person, with a separate mental (...)
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  • The Grounds and the Components of Concepts.Jan Claas - 2023 - Erkenntnis 88 (6):2409-2429.
    In this paper I investigate the idea that in conceptual analysis we are in a substantial way concerned with revealing metaphysical grounds. I argue that a recent proposal fails, according to which we aim to reveal what complex concepts are grounded in. The notion ofcomposition, rather than that ofgrounding, is the best way to understand the intuitive hierarchy of concepts. In an analysis we reveal thecomponentsorpartsof complex concepts and their structure. Finally, I propose an alternative role for grounding in our (...)
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  • The Grounds and the Components of Concepts.Jan Claas - 2021 - Erkenntnis (6):1-21.
    In this paper I investigate the idea that in conceptual analysis we are in a substantial way concerned with revealing metaphysical grounds. I argue that a recent proposal fails, according to which we aim to reveal what complex concepts are grounded in. The notion ofcomposition, rather than that ofgrounding, is the best way to understand the intuitive hierarchy of concepts. In an analysis we reveal thecomponentsorpartsof complex concepts and their structure. Finally, I propose an alternative role for grounding in our (...)
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  • Uma visão de mundo filosófica.Rodrigo Reis Lastra Cid - 2023 - Trans/Form/Ação 46 (spe1):571-596.
    The purpose of this paper is to present a philosophical worldview, specifically metaphysical. This is important precisely to obtain a generalist view of reality, at a time when philosophical discussions are becoming increasingly specialized. The metaphysical worldview presented here is a general perspective on time, space, matter, laws of nature, the mind and the normativity. In order to achieve such goal, (1) we will talk about the nature of philosophy and its relation to the construction of a worldview, (2) we (...)
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  • Experiential parts.Philippe Chuard - forthcoming - Analytic Philosophy.
    Several disputes about the nature of experience operate under the assumption that experiences have parts, including temporal parts. There's the widely held view, when it comes to temporal experiences, that we should follow James' exhortation that such experiences aren't mere successions of their temporal parts, but something more. And there's the question of whether it is the parts of experiences which determine whole experiences and the properties they have, or whether the determination goes instead from the whole to the parts, (...)
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  • Experiential holism in time.Philippe Chuard - 2022 - Mind and Language 37 (4):619-637.
    Temporally extended experiences, experiential holists have it, are not reducible to successions of their temporal parts because some whole experiences determine their parts (in some way). This paper suggests, first, that some forms of experiential holism are in fact consistent with the rival atomist view (that experiences are successions of their parts) and, second, that the main reasons advanced for experiential holism are compatible with atomism too. The paper then looks at how holistic determination of its parts by a whole (...)
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  • The denial of moral dilemmas as a regulative ideal.Michael Cholbi - 2016 - Canadian Journal of Philosophy 46 (2):268-289.
    The traditional debate about moral dilemmas concerns whether there are circumstances in which an agent is subject to two obligations that cannot both be fulfilled. Realists maintain there are. Irrealists deny this. Here I defend an alternative, methodologically-oriented position wherein the denial of genuine moral dilemmas functions as a regulative ideal for moral deliberation and practice. That is, moral inquiry and deliberation operate on the implicit assumption that there are no genuine moral dilemmas. This view is superior to both realism (...)
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  • Infinitesimal Gunk.Lu Chen - 2020 - Journal of Philosophical Logic 49 (5):981-1004.
    In this paper, I advance an original view of the structure of space called Infinitesimal Gunk. This view says that every region of space can be further divided and some regions have infinitesimal size, where infinitesimals are understood in the framework of Robinson’s nonstandard analysis. This view, I argue, provides a novel reply to the inconsistency arguments proposed by Arntzenius and Russell, which have troubled a more familiar gunky approach. Moreover, it has important advantages over the alternative views these authors (...)
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  • Species are, at the same time, kinds and individuals: a causal argument based on an empirical approach to species identity.Elena Casetta & Davide Vecchi - 2019 - Synthese 198 (Suppl 12):3007-3025.
    After having reconstructed a minimal biological characterisation of species, we endorse an “empirical approach” based on the idea that it is the peculiar evolutionary history of the species at issue—its peculiar origination process, its peculiar metapopulation structure and the peculiar mixture and strength of homeostatic processes vis à vis heterostatic ones—that determines species’ identity at a time and through time. We then explore the consequences of the acceptance of the empirical approach in settling the individuals versus kinds dispute. In particular, (...)
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  • Irreducibly Thick Evaluation is not Thinly Evaluative.N. D. Cannon - 2020 - Ethical Theory and Moral Practice 23 (3-4):651-666.
    In this paper, I criticize the pairing of irreducible thickness with the traditional view of evaluation which says evaluation is a matter of encoding good or bad in some way. To do this, I first explicate the determination view, which holds that irreducibly thick concepts are to thin concepts as determinates are to determinables. I then show that, even if the determination view did establish irreducible thickness, it would not have proven that the evaluative is well understood as being an (...)
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  • An Extensional Mereology for Structured Entities.Ilaria Canavotto & Alessandro Giordani - 2020 - Erkenntnis 87:2343-2373.
    In this paper, we present an extensional system of mereology suitable to account for the intuitive distinction between heaplike and non-heaplike entities. Since the need to capture this distinction has been a key motivation for non-extensional mereologies, we first assess the main non-extensional systems advanced in the last years and highlight some mereological and metaphysical difficulties they involve. We then advance a novel program, according to which the distinction between heaplike and non-heaplike entities can be accounted for by bringing together (...)
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  • Mereology and mathematics: Christian Wolff's foundational programme.Matteo Favaretti Camposampiero - 2019 - British Journal for the History of Philosophy 27 (6):1151-1172.
    ABSTRACTHow did the traditional doctrine of parts and wholes evolve into contemporary formal mereology? This paper argues that a crucial missing link may lie in the early modern and especially Wolf...
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  • The Bound State Answer to the Special Composition Question.Claudio Calosi - 2022 - Philosophy of Science 89 (3):486-503.
    This paper provides the first thorough assessment of a physics-based answer, the Bound State Answer, to the Special Composition Question. According to the BSA some objects compose something if they are in a common bound state. The reasons to endorse such an answer, in particular, motivations coming from empirical adequacy and conservativeness, precision, simplicity, and parsimony, are critically addressed. I then go on to compare the BSA to other moderate answers to the SCQ and consider whether objections raised against such (...)
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  • On the Contingency of Universalism.Claudio Calosi - 2021 - Erkenntnis 88 (5):1-15.
    The paper presents different arguments against the necessity of mereological universalism. First, it argues that they are examples of a much more general argumentative structure. It then contends that some of these arguments cannot be resisted by distinguishing different variants of universalism that have been recently proposed in the literature—in contrast with recent suggestions to the contrary. Finally, it provides different ways to resist such contingentist arguments on behalf of universalists.
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  • On the Contingency of Universalism.Claudio Calosi - 2023 - Erkenntnis 88 (5):1997-2011.
    The paper presents different arguments against the necessity of mereological universalism. First, it argues that they are examples of a much more general argumentative structure. It then contends that some of these arguments cannot be resisted by distinguishing different variants of universalism that have been recently proposed in the literature—in contrast with recent suggestions to the contrary. Finally, it provides different ways to resist such contingentist arguments on behalf of universalists.
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  • Determinables, location, and indeterminacy.Claudio Calosi - 2019 - Synthese 198 (5):4191-4204.
    Discussions about determinables and determinates, on the one hand, and discussions about (formal) theories of location, on the other, have thus far proceeded without any visible interaction, in substantive mutual neglect. This paper aims to remedy this situation of neglect. It explicitly relates (theories of) determinables and (theories of) location. First, I argue that some well known principles of location turn out to be instances of principles relating determinables and determinates. Building on this I then argue that theories of location (...)
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  • Divisibility and Extension: a Note on Zeno’s Argument Against Plurality and Modern Mereology.Claudio Calosi & Vincenzo Fano - 2015 - Acta Analytica 30 (2):117-132.
    In this paper, we address an infamous argument against divisibility that dates back to Zeno. There has been an incredible amount of discussion on how to understand the critical notions of divisibility, extension, and infinite divisibility that are crucial for the very formulation of the argument. The paper provides new and rigorous definitions of those notions using the formal theories of parthood and location. Also, it provides a new solution to the paradox of divisibility which does not face some threats (...)
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  • Composition is Identity and Mereological Nihilism.Claudio Calosi - 2016 - Philosophical Quarterly 66 (263):219-235.
    Composition is Identity is the thesis that a whole is, strict and literally, its parts considered collectively. Mereological Nihilism is the thesis that there are no composite objects whatsoever instead. This paper argues that they are equivalent, at least insofar as Composition is Identity is phrased in a particular way. It then addresses some consequences of such equivalence.
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  • Composition, identity, and emergence.Claudio Calosi - 2016 - Logic and Logical Philosophy 25 (3):429-443.
    Composition as Identity is the thesis that a whole is, strictly and literally, identical to its parts, considered collectively. McDaniel [2008] argues against CAI in that it prohibits emergent properties. Recently Sider [2014] exploited the resources of plural logic and extensional mereology to undermine McDaniel’s argument. He shows that CAI identifies extensionally equivalent pluralities – he calls it the Collapse Principle – and then shows how this identification rescues CAI from the emergentist argument. In this paper I first give a (...)
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  • A New Conception of Ordinary Objects and the Role of their Identities in Perception.Jacob Caldwell - 2015 - E-Logos 22 (2):30-46.
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  • A New Taxonomy of Persisting (Relativistic) Objects.Claudio Calosi & Vincenzo Fano - 2015 - Topoi 34 (1):283-294.
    The paper presents a thorough exploration of the problem of persistence in a relativistic context. Using formal methods such as mereology, formal theories of location and the so called intrinsic formulation of special relativity we provide a new, more rigorous and more comprehensive taxonomy of persisting entities. This new taxonomy differs significantly from the ones that are present in the recent literature.
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  • The generality of Constructive Neutral Evolution.T. D. P. Brunet & W. Ford Doolittle - 2018 - Biology and Philosophy 33 (1-2):2.
    Constructive Neutral Evolution is an evolutionary mechanism that can explain much molecular inter-dependence and organismal complexity without assuming positive selection favoring such dependency or complexity, either directly or as a byproduct of adaptation. It differs from but complements other non-selective explanations for complexity, such as genetic drift and the Zero Force Evolutionary Law, by being ratchet-like in character. With CNE, purifying selection maintains dependencies or complexities that were neutrally evolved. Preliminary treatments use it to explain specific genetic and molecular structures (...)
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  • On the computational realization of formal ontologies: Formalizing an ontology of instantiation in spacetime using Isabelle/HOL as a case study.Thomas Bittner - 2019 - Applied ontology 14 (3):251-292.
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  • Logical properties of foundational mereogeometrical relations in bio-ontologies.Thomas Bittner - 2009 - Applied ontology 4 (2):109-138.
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  • Information, mereology and vagueness.Thomas Bittner - 2023 - Applied ontology 18 (2):119-167.
    Classical systems of mereology identify a maximuml set of jointly exhaustive and pairwise disjoint (RCC5) relations. The amount of information that is carried by each member of this set of (crisp) relations is determined by the number of bits of information that are required to distinguish all the members of the set. It is postulated in this paper, that vague mereological relations are limited in the amount of information they can carry. That is, if a crisp mereological relation can carry (...)
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  • Formal ontology of space, time, and physical entities in classical mechanics.Thomas Bittner - 2018 - Applied ontology 13 (2):135-179.
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  • Uncoupling Mereology and Supervenience: A Dual Framework for Emergence and Downward Causation.Marta Bertolaso - 2017 - Axiomathes 27 (6):705-720.
    The philosophical discussion of emergence is often focused on properties of ‘wholes’ that are evaluated as emergent with respect to the properties of ‘parts’. Downward causation is, consequently, evaluated as some kind of causal influence of whole properties over parts properties. Yet, several important cases in scientific practice seem to be pursuing hypotheses of parts properties emerging from wholes properties, inverting the instinctive association of emergence with wholes. Furthermore, some areas of reflection which are very important for emergence, e.g., the (...)
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  • 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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  • Coincident Entities and Question-Begging Predicates: an Issue in Meta-Ontology.Francesco Berto - 2013 - Metaphysica 14 (1):1-15.
    Meta-ontology (in van Inwagen's sense) concerns the methodology of ontology, and a controversial meta-ontological issue is to what extent ontology can rely on linguistic analysis while establishing the furniture of the world. This paper discusses an argument advanced by some ontologists (I call them unifiers) against supporters of or coincident entities (I call them multipliers) and its meta-ontological import. Multipliers resort to Leibniz's Law to establish that spatiotemporally coincident entities a and b are distinct, by pointing at a predicate F (...)
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  • Construction area (no hard hat required).Karen Bennett - 2011 - Philosophical Studies 154 (1):79-104.
    A variety of relations widely invoked by philosophers—composition, constitution, realization, micro-basing, emergence, and many others—are species of what I call ‘building relations’. I argue that they are conceptually intertwined, articulate what it takes for a relation to count as a building relation, and argue that—contra appearances—it is an open possibility that these relations are all determinates of a common determinable, or even that there is really only one building relation.
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  • Part and Whole, Again1.Karen Bennett - 2017 - Philosophical Issues 27 (1):7-25.
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  • Having a Part Twice Over.Karen Bennett - 2013 - Australasian Journal of Philosophy 91 (1):83 - 103.
    I argue that it is intuitive and useful to think about composition in the light of the familiar functionalist distinction between role and occupant. This involves factoring the standard notion of parthood into two related notions: being a parthood slot and occupying a parthood slot. One thing is part of another just in case it fills one of that thing's parthood slots. This move opens room to rethink mereology in various ways, and, in particular, to see the mereological structure of (...)
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  • Dao as a Unified Composition or Plurality: A Nihilism Perspective.Rafal Banka - 2023 - Dao: A Journal of Comparative Philosophy 22 (3):1-15.
    This article departs from a mereological conceptualization of the Daoist metaphysi- cal system in the Daodejing 道德經. I discuss what parthood status applies to dao 道. Whereas it is quite intuitive that you 有—the region of concrete objects—has parthood relationships and compositions (entities made from parts), the other, undif- ferentiated region, dao, poses a considerable problem. This problem can be charac- terized in the following way: (a) dao cannot be characterized as a particular com- position, which entails that it does (...)
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  • 12 God and/as the Universe.István Aranyosi - 2024 - In Mirosław Szatkowski (ed.), Ontology of Divinity. De Gruyter. pp. 269-290.
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  • Against Methodological Continuity and Metaphysical Knowledge.Simon Allzén - 2023 - European Journal for Philosophy of Science 13 (1):1-20.
    The main purpose of this paper is to refute the metaphysicians ‘methodological continuation’ argument supporting epistemic realism in metaphysics. This argument aims to show that scientific realists have to accept that metaphysics is as rationally justified as science given that they both employ inference to the best explanation, i.e. that metaphysics and science are methodologically continuous. I argue that the reasons given by scientific realists as to why inference to the best explanation is reliable in science do not constitute a (...)
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  • Musical Perdurantism and the Problem of Intermittent Existence.Alexey Aliyev - 2017 - Grazer Philosophische Studien 94 (1-2):83-100.
    Recently, a number of philosophers have defended a novel, materialist view on the nature of musical works—musical perdurantism. According to this view, musical works are a peculiar kind of concreta, namely perduring mereological sums of performances and/or other concrete entities. One problem facing musical perdurantism stems from the thought that if this view is correct, then virtually no musical work can exist in a continuous, non-intermittent fashion. The aim of this paper is to expound this problem and show that it (...)
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  • From slot mereology to a mereology of slots.Cédric Tarbouriech, Laure Vieu, Adrien Barton & Jean-François Éthier - forthcoming - Applied ontology:1-50.
    In 2013, Bennett proposed a mereological theory in which the parthood relation is defined on the basis of two primitive relations: a is a part of b iff a fills a slot owned by b. However, this theory has issues counting how many parts an entity has. We explore the various counting problems and propose a new theory to solve them. Keeping the core idea of Bennett’s slots, this theory introduces mereological relations between slots. This theory enables us to solve (...)
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  • Plato's Problem: An Introduction to Mathematical Platonism.Marco Panza & Andrea Sereni - 2013 - New York: Palgrave-Macmillan. Edited by Andrea Sereni & Marco Panza.
    What is mathematics about? And if it is about some sort of mathematical reality, how can we have access to it? This is the problem raised by Plato, which still today is the subject of lively philosophical disputes. This book traces the history of the problem, from its origins to its contemporary treatment. It discusses the answers given by Aristotle, Proclus and Kant, through Frege's and Russell's versions of logicism, Hilbert's formalism, Gödel's platonism, up to the the current debate on (...)
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  • All Things Must Pass Away.Joshua Spencer - 2012 - Oxford Studies in Metaphysics 7:67.
    Are there any things that are such that any things whatsoever are among them. I argue that there are not. My thesis follows from these three premises: (1) There are two or more things; (2) for any things, there is a unique thing that corresponds to those things; (3) for any two or more things, there are fewer of them than there are pluralities of them.
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  • Cardinal Composition.Lisa Vogt & Jonas Werner - 2024 - Erkenntnis 89 (4):1457-1479.
    The thesis of Weak Unrestricted Composition says that every pair of objects has a fusion. This thesis has been argued by Contessa and Smith to be compatible with the world being junky and hence to evade an argument against the necessity of Strong Unrestricted Composition proposed by Bohn. However, neither Weak Unrestricted Composition alone nor the different variants of it that have been proposed in the literature can provide us with a satisfying answer to the special composition question, or so (...)
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  • Scientific Understanding: What It Is and How It Is Achieved.Anna Elisabeth Höhl - 2024 - transcript Verlag.
    Understanding is an ability manifested by grasping relations of a phenomenon and articulating new explanations. Hence, scientific understanding is inextricably intertwined with and not possible without explanation, and understanding is not a type of propositional knowledge. Anna Elisabeth Höhl provides a novel philosophical account of scientific understanding by developing and defending necessary and sufficient conditions for the understanding that scientists achieve of the phenomena they are researching. This account of scientific understanding is based on and supported by a detailed investigation (...)
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  • Taste Fragmentalism.Giuseppe Spolaore, Samuele Iaquinto & Giuliano Torrengo - forthcoming - Erkenntnis:1-19.
    This paper explores taste fragmentalism, a novel approach to matters of taste and faultless disagreement. The view is inspired by Kit Fine’s fragmentalism about time, according to which the temporal dimension can be constituted—in an absolute manner—by states that are pairwise incompatible, provided that they do not obtain together. In the present paper, we will apply this metaphysical framework to taste states. In our proposal, two incompatible taste states (such as the state of rhubarb’s being tasty and the state of (...)
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