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The number of things

Philosophical Issues 12 (1):176-196 (2002)

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  1. The ontological parsimony of mereology.Jeroen Smid - 2015 - Philosophical Studies 172 (12):3253-3271.
    Lewis famously argued that mereology is ontologically innocent. Many who have considered this claim believe he was mistaken. Mereology is not innocent, because its acceptance entails the acceptance of sums, new objects that were not previously part of one’s ontology. This argument, the argument from ontological parsimony, has two versions: a qualitative and a quantitative one. I argue that the defender of mereology can neutralize both arguments by holding that, given mereology, a commitment to the parts of an object is (...)
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  • Metaphysics as modeling: the handmaiden’s tale.L. A. Paul - 2012 - Philosophical Studies 160 (1):1-29.
    Critics of contemporary metaphysics argue that it attempts to do the hard work of science from the ease of the armchair. Physics, not metaphysics, tells us about the fundamental facts of the world, and empirical psychology is best placed to reveal the content of our concepts about the world. Exploring and understanding the world through metaphysical reflection is obsolete. In this paper, I will show why this critique of metaphysics fails, arguing that metaphysical methods used to make claims about the (...)
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  • Conciliatory metaontology and the vindication of common sense.Matthew McGrath - 2008 - Noûs 42 (3):482-508.
    This paper is a critical response to Eli Hirsch’s recent work in metaontology. Hirsch argues that several prominent ontological disputes about physical objects are verbal, a conclusion he takes to vindicate common sense ontology. In my response, I focus on the debate over composition (van Inwagen’s special composition question). I argue that given Hirsch’s own criterion for a dispute’s being verbal – a dispute is verbal iff charity requires each side to interpret the other sides as speaking the truth in (...)
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  • Identity, individuality, and unity.E. J. Lowe - 2003 - Philosophy 78 (3):321-336.
    Locke notoriously included number amongst the primary qualities of bodies and was roundly criticized for doing so by Berkeley. Frege echoed some of Berkeley's criticisms in attacking the idea that ‘Number is a property of external things’, while defending his own view that number is a property of concepts. In the present paper, Locke's view is defended against the objections of Berkeley and Frege, and Frege's alternative view of number is criticized. More precisely, it is argued that numbers are assignable (...)
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  • Quine, Putnam, and the ‘Quine–Putnam’ Indispensability Argument.David Liggins - 2008 - Erkenntnis 68 (1):113 - 127.
    Much recent discussion in the philosophy of mathematics has concerned the indispensability argument—an argument which aims to establish the existence of abstract mathematical objects through appealing to the role that mathematics plays in empirical science. The indispensability argument is standardly attributed to W. V. Quine and Hilary Putnam. In this paper, I show that this attribution is mistaken. Quine's argument for the existence of abstract mathematical objects differs from the argument which many philosophers of mathematics ascribe to him. Contrary to (...)
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  • On the substantive nature of disagreements in ontology.Kathrin Koslicki - 2005 - Philosophy and Phenomenological Research 71 (1):85–151.
    This paper concerns a fundamental dispute in ontology between the “Foundational Ontologist”, who believes that there is only one correct way of characterizing what there is, and the ontological “Skeptic”, who believes that there are viable alternative characterizations of what there is. I examine in detail an intriguing recent proposal in Dorr (2005), which promises to yield (i) a way of interpreting the Skeptic by means of a counterfactual semantics; and (ii) a way of converting the Skeptic to a position (...)
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  • Countability and self-identity.Adrian Heathcote - 2021 - European Journal for Philosophy of Science 11 (4):1-23.
    The Received View of particles in quantum mechanics is that they are indistinguishable entities within their kinds and that, as a consequence, they are not individuals in the metaphysical sense and self-identity does not meaningfully apply to them. Nevertheless cardinality does apply, in that one can have n> 1 such particles. A number of authors have recently argued that this cluster of claims is internally contradictory: roughly, that having more than one such particle requires that the concepts of distinctness and (...)
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  • Metaphysical Nihilism and Cosmological Arguments: Some Tractarian Comments.Stig Børsen Hansen - 2012 - European Journal of Philosophy 20 (2):223-242.
    Abstract: This paper explores the relevance of themes from Wittgenstein's Tractatus Logico-Philosophicus to the ongoing discussion of metaphysical nihilism. I set out by showing how metaphysical nihilism is of paramount importance for cosmological arguments. Metaphysical nihilism is the position that there might have been nothing. Two conflicting intuitions emerge from a survey of discussions of metaphysical nihilism: Firstly, that metaphysical nihilism is true, and secondly, that formulations of the position are somehow unclear or nonsensical. By considering formalizations of philosophical language, (...)
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  • How Many there Are Isn’t.Jonah P. B. Goldwater - 2020 - Philosophia 48 (3):1037-1057.
    A world where there exists n concrete things is a count-determinate world. The orthodox view is count-determinacy is necessary; if to be is to be the value of a variable and the domain of quantification is enumerable, count-determinacy follows. Yet I argue how many there are can be indeterminate; count-indeterminacy is metaphysically possible and even likely actual. Notably, my argument includes rebuttals of Evans’ reductio of indeterminate identity and the Lewis/Sider ‘argument from vagueness’. Count-indeterminacy should therefore be recognized as another (...)
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  • To Exist and to Count: a Note on the Minimalist View.Massimiliano Carrara Francesco Berto - 2009 - Dialectica 63 (3):343-356.
    Sometimes mereologists have problems with counting. We often don't want to count the parts of maximally connected objects as full‐fledged objects themselves, and we don't want to count discontinuous objects as parts of further, full‐fledged objects. But whatever one takes “full‐fledged object” to mean, the axioms and theorems of classical, extensional mereology commit us to the existence both of parts and of wholes – all on a par, included in the domain of quantification – and this makes mereology look counterintuitive (...)
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  • Persistence, Ontic Vagueness and Identity: Towards a Substantialist Four–dimensionalism. [REVIEW]Enrique Romerales - 2008 - Metaphysica 9 (1):33-55.
    Four-dimensionalism, the stage theory version in particular, has been defended as the best solution for avoiding vagueness in regards to composition, persistence and identity. Stage theory is highly problematic by itself, and the two views usually packed with it, unrestricted composition and counterpart theory, are a heavy burden. However, dispensing with these two views, four-dimensionalism could avoid vague persistence by issuing a criterion that would establish sharp temporal boundaries for the existence of genuine entities (simples, molecules and living organisms). This (...)
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  • Ontology and Arbitrariness.David Builes - 2022 - Australasian Journal of Philosophy 100 (3):485-495.
    In many different ontological debates, anti-arbitrariness considerations push one towards two opposing extremes. For example, in debates about mereology, one may be pushed towards a maximal ontology (mereological universalism) or a minimal ontology (mereological nihilism), because any intermediate view seems objectionably arbitrary. However, it is usually thought that anti-arbitrariness considerations on their own cannot decide between these maximal or minimal views. I will argue that this is a mistake. Anti-arbitrariness arguments may be used to motivate a certain popular thesis in (...)
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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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  • To exist and to count: A note on the minimalist view.Francesco Berto & Massimiliano Carrara - 2009 - Dialectica 63 (3):343-356.
    Sometimes mereologists have problems with counting. We often don't want to count the parts of maximally connected objects as full-fledged objects themselves, and we don't want to count discontinuous objects as parts of further, full-fledged objects. But whatever one takes "full-fledged object" to mean, the axioms and theorems of classical, extensional mereology commit us to the existence both of parts and of wholes – all on a par, included in the domain of quantification – and this makes mereology look counterintuitive (...)
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  • Counting the Particles: Entity and Identity in the Philosophy of Physics.Francesco Berto - 2017 - Metaphysica 18 (1):69-89.
    I would like to attack a certain view: The view that the concept of identity can fail to apply to some things although, for some positive integer n, we have n of them. The idea of entities without self-identity is seriously entertained in the philosophy of quantum mechanics. It is so pervasive that it has been labelled the Received View. I introduce the Received View in Section 1. In Section 2 I explain what I mean by entity, and I argue (...)
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