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  1. A Calculus of Regions Respecting Both Measure and Topology.Tamar Lando & Dana Scott - 2019 - Journal of Philosophical Logic 48 (5):825-850.
    Say that space is ‘gunky’ if every part of space has a proper part. Traditional theories of gunk, dating back to the work of Whitehead in the early part of last century, modeled space in the Boolean algebra of regular closed subsets of Euclidean space. More recently a complaint was brought against that tradition in Arntzenius and Russell : Lebesgue measure is not even finitely additive over the algebra, and there is no countably additive measure on the algebra. Arntzenius advocated (...)
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  • Semantic values in higher-order semantics.Stephan Krämer - 2014 - Philosophical Studies 168 (3):709-724.
    Recently, some philosophers have argued that we should take quantification of any order to be a legitimate and irreducible, sui generis kind of quantification. In particular, they hold that a semantic theory for higher-order quantification must itself be couched in higher-order terms. Øystein Linnebo has criticized such views on the grounds that they are committed to general claims about the semantic values of expressions that are by their own lights inexpressible. I show that Linnebo's objection rests on the assumption of (...)
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  • Nominalism and Material Plenitude.Uriah Kriegel - 2021 - Res Philosophica 98 (1):89-112.
    The idea of “material plenitude” has been gaining traction in recent discussions of the metaphysics of material objects. My main goal here is to show that this idea may have important dialectical implications for the metaphysics of properties – more specifically, that it provides nominalists with new resources in their attempt to reject an ontology of universals. I will recapitulate one of the main arguments against nominalism – due to David Armstrong – and show how plenitude helps the nominalist overcome (...)
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  • Composition as a secondary quality.Uriah Kriegel - 2008 - Pacific Philosophical Quarterly 89 (3):359-383.
    Abstract: The 'special composition question' is this: given objects O1, . . . , On, under what conditions is there an object O, such that O1, . . . , On compose O? This paper explores a heterodox answer to this question, one that casts composition as a secondary quality. According to the approach I want to consider, there is an O that O1, . . . , On compose (roughly) just in case a normal intuiter would, under normal conditions, (...)
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  • Set-theoretic realism and arithmetic.Michael Kremer - 1991 - Philosophical Studies 64 (3):253 - 271.
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  • Grounding and the argument from explanatoriness.David Mark Kovacs - 2017 - Philosophical Studies 174 (12):2927-2952.
    In recent years, metaphysics has undergone what some describe as a revolution: it has become standard to understand a vast array of questions as questions about grounding, a metaphysical notion of determination. Why should we believe in grounding, though? Supporters of the revolution often gesture at what I call the Argument from Explanatoriness: the notion of grounding is somehow indispensable to a metaphysical type of explanation. I challenge this argument and along the way develop a “reactionary” view, according to which (...)
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  • The crooked path from vagueness to four-dimensionalism.Kathrin Koslicki - 2003 - Philosophical Studies 114 (1-2):107-134.
    In his excellent book, Four-Dimensionalism: An Ontology of Persistence and Time (Sider, 2001), Theodore Sider defends a version of four-dimensionalism which he calls the ‘stage-theory’. This paper focuses on Sider's argument from vagueness and argues that, due to the problematic nature of the argument from vagueness, Sider’s case in favor of four-dimensionalism is in the end not successful.
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  • Towards a Neo‐Aristotelian Mereology.Kathrin Koslicki - 2007 - Dialectica 61 (1):127-159.
    This paper provides a detailed examination of Kit Fine’s sizeable contribution to the development of a neo‐Aristotelian alternative to standard mereology; I focus especially on the theory of ‘rigid’ and ‘variable embodiments’, as defended in Fine 1999. Section 2 briefly describes the system I call ‘standard mereology’. Section 3 lays out some of the main principles and consequences of Aristotle’s own mereology, in order to be able to compare Fine’s system with its historical precursor. Section 4 gives an exposition of (...)
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  • The Vagueness Argument Against Abstract Artifacts.Daniel Z. Korman - 2014 - Philosophical Studies 167 (1):57-71.
    Words, languages, symphonies, fictional characters, games, and recipes are plausibly abstract artifacts— entities that have no spatial location and that are deliberately brought into existence as a result of creative acts. Many accept that composition is unrestricted: for every plurality of material objects, there is a material object that is the sum of those objects. These two views may seem entirely unrelated. I will argue that the most influential argument against restricted composition—the vagueness argument—doubles as an argument that there can (...)
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  • Fundamental Quantification and the Language of the Ontology Room.Daniel Z. Korman - 2013 - Noûs 49 (2):298-321.
    Nihilism is the thesis that no composite objects exist. Some ontologists have advocated abandoning nihilism in favor of deep nihilism, the thesis that composites do not existO, where to existO is to be in the domain of the most fundamental quantifier. By shifting from an existential to an existentialO thesis, the deep nihilist seems to secure all the benefits of a composite-free ontology without running afoul of ordinary belief in the existence of composites. I argue that, while there are well-known (...)
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  • Composition.Daniel Z. Korman & Chad Carmichael - 2016 - Oxford Handbooks Online.
    When some objects are the parts of another object, they compose that object and that object is composite. This article is intended as an introduction to the central questions about composition and a highly selective overview of various answers to those questions. In §1, we review some formal features of parthood that are important for understanding the nature of composition. In §2, we consider some answers to the question: which pluralities of objects together compose something? As we will see, the (...)
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  • Ontology and the construction of systems.Guido Küng - 1993 - Synthese 95 (1):29 - 53.
    After drawing attention to the basic importance of Goodman's workThe Structure of Appearance, this paper turns to a critical analysis of Goodman's claims concerning worldmaking. It stresses that Goodman's acceptance of a multiplicity of actual worlds doesnot involve the belief in an unknowable underlying reality; but that it is due to the non-mysterious fact that constructional systems allow for a multiplicity of disagreeing, right versions. However, from the point of view of truthmaker ontology, most worlds of constructional systems are not (...)
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  • The overlap problem.Shieva Kleinschmidt - 2020 - Philosophical Studies 178 (6):1801-1827.
    It is common to think that it’s possible for entities to spatially coincide in multiple ways: with overcrowding, and without overcrowding. Typically, we can distinguish between these by claiming that uncrowded spatial overlap involves a sharing of parts, and crowded spatial overlap does not. However, if we think that mereologically unusual entities, such as extended simples or some kinds of gunk, can also spatially overlap in crowded and uncrowded ways, we lose the ability to distinguish between those varieties of spatial (...)
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  • Fundamentality and Time-Travel.Shieva Kleinschmidt - 2015 - Thought: A Journal of Philosophy 4 (1):46-51.
    The relation of being more fundamental than, as well as the Finean notion of partial grounding, are widely taken to be irreflexive, transitive, and asymmetric. However, certain time-travel cases that have been used to raise worries about the irreflexivity, transitivity, and asymmetry of proper part of can also be used to argue that more fundamental than and partially grounds do not have these formal properties. I present this worry and discuss several responses to it, with the aim of showing that (...)
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  • Early Russell on Types and Plurals.Kevin Klement - 2014 - Journal for the History of Analytical Philosophy 2 (6):1-21.
    In 1903, in _The Principles of Mathematics_ (_PoM_), Russell endorsed an account of classes whereupon a class fundamentally is to be considered many things, and not one, and used this thesis to explicate his first version of a theory of types, adding that it formed the logical justification for the grammatical distinction between singular and plural. The view, however, was short-lived; rejected before _PoM_ even appeared in print. However, aside from mentions of a few misgivings, there is little evidence about (...)
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  • Foundations of applied mathematics I.Jeffrey Ketland - 2021 - Synthese 199 (1-2):4151-4193.
    This paper aims to study the foundations of applied mathematics, using a formalized base theory for applied mathematics: ZFCAσ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathsf {ZFCA}_{\sigma }$$\end{document} with atoms, where the subscript used refers to a signature specific to the application. Examples are given, illustrating the following five features of applied mathematics: comprehension principles, application conditionals, representation hypotheses, transfer principles and abstract equivalents.
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  • The metaphysics of propositional constituency.Lorraine Keller - 2013 - Canadian Journal of Philosophy 43 (5-6):655-678.
    In this paper, I criticize Structured Propositionalism, the most widely held theory of the nature of propositions according to which they are structured entities with constituents. I argue that the proponents of Structured Propositionalism have paid insufficient attention to the metaphysical presuppositions of the view – most egregiously, to the notion of propositional constituency. This is somewhat ironic, since the friends of structured propositions tend to argue as if the appeal to constituency gives their view a dialectical advantage. I criticize (...)
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  • Is There A Quasi-Mereological Account of Property Incompatibility?Javier Kalhat - 2011 - Acta Analytica 26 (2):115-133.
    Armstrong’s combinatorial theory of possibility faces the obvious difficulty that not all universals are compatible. In this paper I develop three objections against Armstrong’s attempt to account for property incompatibilities. First, Armstrong’s account cannot handle incompatibilities holding among properties that are either simple, or that are complex but stand to one another in the relation of overlap rather than in the part/ whole relation. Secondly, at the heart of Armstrong’s account lies a notion of structural universals which, building on an (...)
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  • Causes and Counterparts.Alex Kaiserman - 2017 - Australasian Journal of Philosophy 95 (1):17-28.
    It follows from David Lewis's counterpart-theoretic analysis of modality and his counterfactual theory of causation that causal claims are relativized to a set of counterpart relations. Call this Shlewis's view. I show how Shlewis's view can provide attractively unified solutions to similar modal and causal puzzles. I then argue that Shlewis's view is better motivated, by his own lights, than the view Lewis actually held, and also better motivated than a similar approach which relativizes causal claims to sets of ‘contrast (...)
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  • Essential bundle theory and modality.Mark Jago - 2018 - Synthese (Suppl 6):1-16.
    Bundle theories identify material objects with bundles of properties. On the traditional approach, these are the properties possessed by that material object. That view faces a deep problem: it seems to say that all of an object’s properties are essential to it. Essential bundle theory attempts to overcome this objection, by taking the bundle as a specification of the object’s essential properties only. In this paper, I show that essential bundle theory faces a variant of the objection. To avoid the (...)
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  • Second-Order Predication and the Metaphysics of Properties.Andy Egan - 2004 - Australasian Journal of Philosophy 82 (1):48-66.
    Problems about the accidental properties of properties motivate us--force us, I think--not to identify properties with the sets of their instances. If we identify them instead with functions from worlds to extensions, we get a theory of properties that is neutral with respect to disputes over counterpart theory, and we avoid a problem for Lewis's theory of events. Similar problems about the temporary properties of properties motivate us--though this time they probably don't force us--to give up this theory as well, (...)
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  • Frege on Number Properties.Andrew D. Irvine - 2010 - Studia Logica 96 (2):239-260.
    In the Grundlagen , Frege offers eight main arguments, together with a series of more minor supporting arguments, against Mill’s view that numbers are “properties of external things”. This paper reviews all eight of these arguments, arguing that none are conclusive.
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  • A critical appraisal of second-order logic.Ignacio Jané - 1993 - History and Philosophy of Logic 14 (1):67-86.
    Because of its capacity to characterize mathematical concepts and structures?a capacity which first-order languages clearly lack?second-order languages recommend themselves as a convenient framework for much of mathematics, including set theory. This paper is about the credentials of second-order logic:the reasons for it to be considered logic, its relations with set theory, and especially the efficacy with which it performs its role of the underlying logic of set theory.
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  • Simples and gunk.Hud Hudson - 2007 - Philosophy Compass 2 (2):291–302.
    Are there any non‐composite objects? Are there any objects every part of which is composite? Are items of either kind even possible? What would they be like? Of what significance would they be? How best can we come to have reasonable beliefs about the answers to these inquiries? Such questions – about the actuality and possibility, the analysis and significance, the methodology and epistemology of simples and pieces of gunk – have been center stage in recent contemporary analytic metaphysics. The (...)
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  • The World is Not Enough.Nathan Robert Howard & N. G. Laskowski - 2019 - Noûs 55 (1):86-101.
    Throughout his career, Derek Parfit made the bold suggestion, at various times under the heading of the "Normativity Objection," that anyone in possession of normative concepts is in a position to know, on the basis of their competence with such concepts alone, that reductive realism in ethics is not even possible. Despite the prominent role that the Normativity Objection plays in Parfit's non-reductive account of the nature of normativity, when the objection hasn't been ignored, it's been criticized and even derided. (...)
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  • What Is Classical Mereology?Paul Hovda - 2009 - Journal of Philosophical Logic 38 (1):55 - 82.
    Classical mereology is a formal theory of the part-whole relation, essentially involving a notion of mereological fusion, or sum. There are various different definitions of fusion in the literature, and various axiomatizations for classical mereology. Though the equivalence of the definitions of fusion is provable from axiom sets, the definitions are not logically equivalent, and, hence, are not inter-changeable when laying down the axioms. We examine the relations between the main definitions of fusion and correct some technical errors in prominent (...)
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  • Tensed Mereology.Paul Hovda - 2013 - Journal of Philosophical Logic 42 (2):241-283.
    Classical mereology (CM) is usually taken to be formulated in a tenseless language, and is therefore associated with a four-dimensionalist metaphysics. This paper presents three ways one might integrate the core idea of flat plenitude, i.e., that every suitable condition or property has exactly one mereological fusion, with a tensed logical setting. All require a revised notion of mereological fusion. The candidates differ over how they conceive parthood to interact with existence in time, which connects to the distinction between endurance (...)
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  • Sets and Plural Comprehension.Keith Hossack - 2014 - Journal of Philosophical Logic 43 (2-3):517-539.
    The state of affairs of some things falling under a predicate is supposedly a single entity that collects these things as its constituents. But whether we think of a state of affairs as a fact, a proposition or a possibility, problems will arise if we adopt a plural logic. For plural logic says that any plurality include themselves, so whenever there are some things, the state of affairs of their plural self-inclusion should be a single thing that collects them all. (...)
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  • Plurals and complexes.Keith Hossack - 2000 - British Journal for the Philosophy of Science 51 (3):411-443.
    Atomism denies that complexes exist. Common-sense metaphysics may posit masses, composite individuals and sets, but atomism says there are only simples. In a singularist logic, it is difficult to make a plausible case for atomism. But we should accept plural logic, and then atomism can paraphrase away apparent reference to complexes. The paraphrases require unfamiliar plural universals, but these are of independent interest; for example, we can identify numbers and sets with plural universals. The atomist paraphrases would fail if plurals (...)
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  • A Correspondence Theory of Exemplification.Keith Hossack - 2013 - Axiomathes 23 (2):365-380.
    What is exemplification? A proposition that attributes a property to an object is true if the object exemplifies the property. But according to the correspondence theory, a proposition is true if the corresponding fact exists. So if the correspondence theory is correct, an exemplification of a temporal property by an object is simply the concrete circumstance of the object’s having the property. But since not all properties are temporal, not all exemplifications are circumstances, and we need to recognise timeless as (...)
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  • Truthmaking, recombination, and facts ontology.Frank Hofmann - 2006 - Philosophical Studies 128 (2):409-440.
    The idea of truthmakers is important for doing serious metaphysics, since a truthmaker principle can give us important guidance in finding out what we would like to include into our ontology. Recently, David Lewis has argued against Armstrong’s argument that a plausible truthmaker principle requires us to accept facts. I would like to take a close look at the argument. I will argue in detail that the Humean principle of recombination on which Lewis relies is not plausible (independently of the (...)
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  • The Meta-Problem of Change.Thomas Hofweber - 2009 - Noûs 43 (2):286 - 314.
    The problem of change plays a central role in the metaphysics of time and material objects, and whoever does best in solving this problem has a leg up when it comes to choosing a metaphysics of time and material objects. But whether this central role of the problem of change in metaphysics is legitimate is not at all clear. This is so in part since it is not clear what the problem of change is, and why it is a problem (...)
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  • Paraphrasing away properties with pluriverse counterfactuals.Jack Himelright - 2020 - Synthese 198 (11):10883-10902.
    In this paper, I argue that for the purposes of ordinary reasoning, sentences about properties of concrete objects can be replaced with sentences concerning how things in our universe would be related to inscriptions were there a pluriverse. Speaking loosely, pluriverses are composites of universes that collectively realize every way a universe could possibly be. As such, pluriverses exhaust all possible meanings that inscriptions could take. Moreover, because universes necessarily do not influence one another, our universe would not be any (...)
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  • Applied Mathematics without Numbers.Jack Himelright - 2023 - Philosophia Mathematica 31 (2):147-175.
    In this paper, I develop a "safety result" for applied mathematics. I show that whenever a theory in natural science entails some non-mathematical conclusion via an application of mathematics, there is a counterpart theory that carries no commitment to mathematical objects, entails the same conclusion, and the claims of which are true if the claims of the original theory are "correct": roughly, true given the assumption that mathematical objects exist. The framework used for proving the safety result has some advantages (...)
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  • When Do Some Things Form a Set?Simon Hewitt - 2015 - Philosophia Mathematica 23 (3):311-337.
    This paper raises the question under what circumstances a plurality forms a set, parallel to the Special Composition Question for mereology. The range of answers that have been proposed in the literature are surveyed and criticised. I argue that there is good reason to reject both the view that pluralities never form sets and the view that pluralities always form sets. Instead, we need to affirm restricted set formation. Casting doubt on the availability of any informative principle which will settle (...)
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  • Tuples all the Way Down?Simon Thomas Hewitt - 2018 - Thought: A Journal of Philosophy 7 (3):161-169.
    We can introduce singular terms for ordered pairs by means of an abstraction principle. Doing so proves useful for a number of projects in the philosophy of mathematics. However there is a question whether we can appeal to the abstraction principle in good faith, since a version of the Caesar Problem can be generated, posing the worry that abstraction fails to introduce expressions which refer determinately to the requisite sort of object. In this note I will pose the difficulty, and (...)
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  • On nominalism.Geoffrey Hellman - 2001 - Philosophy and Phenomenological Research 62 (3):691-705.
    Probably there is no position in Goodman’s corpus that has generated greater perplexity and criticism than Goodman’s “nominalism”. As is abundantly clear from Goodman’s writings, it is not “abstract entities” generally that he questions—indeed, he takes sensory qualia as “basic” in his Carnap-inspired constructional system in Structure—but rather just those abstracta that are so crystal clear in their identity conditions, so fundamental to our thought, so prevalent and seemingly unavoidable in our discourse and theorizing that they have come to form (...)
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  • Does category theory provide a framework for mathematical structuralism?Geoffrey Hellman - 2003 - Philosophia Mathematica 11 (2):129-157.
    Category theory and topos theory have been seen as providing a structuralist framework for mathematics autonomous vis-a-vis set theory. It is argued here that these theories require a background logic of relations and substantive assumptions addressing mathematical existence of categories themselves. We propose a synthesis of Bell's many-topoi view and modal-structuralism. Surprisingly, a combination of mereology and plural quantification suffices to describe hypothetical large domains, recovering the Grothendieck method of universes. Both topos theory and set theory can be carried out (...)
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  • Relations in Lewis's framework without atoms.A. P. Hazen - 1997 - Analysis 57 (4):243-248.
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  • Relations in Lewis's framework without atoms: a correction.A. Hazen - 2000 - Analysis 60 (4):351-353.
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  • On naming the colours.A. P. Hazen - 1999 - Australasian Journal of Philosophy 77 (2):224-231.
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  • Against pluralism.A. P. Hazen - 1993 - Australasian Journal of Philosophy 71 (2):132 – 144.
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  • Book reviews. [REVIEW]A. P. Hazen - 1993 - Philosophia Mathematica 1 (2):173-179.
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  • Principles of composition and criteria of identity.Katherine Hawley - 2006 - Australasian Journal of Philosophy 84 (4):481 – 493.
    I argue that, despite van Inwagen’s pessimism about the task, it is worth looking for answers to his General Composition Question. Such answers or ‘principles of composition’ tell us about the relationship between an object and its parts. I compare principles of composition with criteria of identity, arguing that, just as different sorts of thing satisfy different criteria of identity, they may satisfy different principles of composition. Variety in criteria of identity is not taken to reflect ontological variety in the (...)
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  • Mereology, modality and magic.Katherine Hawley - 2010 - Australasian Journal of Philosophy 88 (1):117 – 133.
    If the property _being a methane molecule_ is a universal, then it is a structural universal: objects instantiate _being a methane molecule_ just in case they have the right sorts of proper parts arranged in the right sort of way. Lewis argued that there can be no satisfactory account of structural universals; in this paper I provide a satisfactory account.
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  • N eo-F regeanism and Q uantifier V ariance.Katherine Hawley - 2007 - Aristotelian Society Supplementary Volume 81 (1):233-249.
    In his paper in the same volume, Sider argues that, of maximalism and quantifier variance, the latter promises to let us make better sense of neo-Fregeanism. I argue that neo-Fregeans should, and seemingly do, reject quantifier variance. If they must choose between these two options, they should choose maximalism.
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  • Borderline Simple or Extremely Simple.Katherine Hawley - 2004 - The Monist 87 (3):385-404.
    In his Material Beings, Peter van Inwagen distinguishes two questions about parthood. What are the conditions necessary and sufficient for some things jointly to compose a whole? What are the conditions necessary and sufficient for a thing to have proper parts? The first of these, the Special Composition Question (SCQ), has been widely discussed, and David Lewis has argued that an important constraint on any answer to the SCQ is that it should not permit borderline cases of composition. This is (...)
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  • Mereologies as the grammars of chemical discourses.Rom Harré & Jean-Pierre Llored - 2011 - Foundations of Chemistry 13 (1):63-76.
    Mereology is the logic of part—whole concepts as they are used in many different contexts. The old chemical metaphysics of atoms and molecules seems to fit classical mereology very well. However, when functional attributes are added to part specifications and quantum mechanical considerations are also added, the rules of classical mereology are breached in chemical discourses. A set theoretical alternative mereology is also found wanting. Molecular orbital theory requires a metaphysics of affordances that also stands outside classical mereology.
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  • Counterfactual theories of causation and the problem of large causes.Jens Harbecke - 2020 - Philosophical Studies 178 (5):1647-1668.
    As is well-known, David Lewis’ counterfactual theory of causation is subject to serious counterexamples in ‘exceptional’ cases. What has not received due attention in the literature so far is that Lewis’ theory fails to provide necessary and sufficient conditions for causation in ‘ordinary’ cases, too. In particular, the theory suffers from the ‘problem of large causes’. It is argued that this problem may be fixed by imposing a minimization constraint, whilst this solution brings along substantial costs as well. In particular, (...)
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  • Counterfactual Causation and Mental Causation.Jens Harbecke - 2014 - Philosophia 42 (2):363-385.
    Counterfactual conditionals have been appealed to in various ways to show how the mind can be causally efficacious. However, it has often been overestimated what the truth of certain counterfactuals actually indicates about causation. The paper first identifies four approaches that seem to commit precisely this mistake. The arguments discussed involve erroneous assumptions about the connection of counterfactual dependence and genuine causation, as well as a disregard of the requisite evaluation conditions of counterfactuals. In a second step, the paper uses (...)
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