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Parts of Classes

Mind 100 (3):394-397 (1991)

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  1. Is composition identity?Byeong-uk Yi - 2018 - Synthese 198 (Suppl 18):4467-4501.
    Say that some things compose something, if the latter is a whole, fusion, or mereological sum of the former. Then the thesis that composition is identity holds that the composition relation is a kind of identity relation, a plural cousin of singular identity. On this thesis, any things that compose a whole are identical with the whole. This article argues that the thesis is incoherent. To do so, the article formulates the thesis in a plural language, a symbolic language that (...)
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  • Reflective Mereology.Bokai Yao - 2023 - Journal of Philosophical Logic 52 (4):1171-1196.
    I propose a new theory of mereology based on a mereological reflection principle. Reflective mereology has natural fusion principles but also refutes certain principles of classical mereology such as Universal Fusion and Fusion Uniqueness. Moreover, reflective mereology avoids Uzquiano’s cardinality problem–the problem that classical mereology tends to clash with set theory when they both quantify over everything. In particular, assuming large cardinals, I construct a model of reflective mereology and second-order ZFCU with Limitation of Size. In the model, classical mereology (...)
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  • Many, but one.Evan T. Woods - 2019 - Synthese 198 (Suppl 18):4609-4626.
    The problem of the many threatens to show that, in general, there are far more ordinary objects than you might have thought. I present and motivate a solution to this problem using many-one identity. According to this solution, the many things that seem to have what it takes to be, say, a cat, are collectively identical to that single cat.
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  • What is Hume’s Dictum, and Why Believe It?Jessica Wilson - 2010 - Philosophy and Phenomenological Research 80 (3):595-637.
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  • Static And Dynamic Dispositions.Neil Edward Williams - 2005 - Synthese 146 (3):303-324.
    When it comes to scientific explanation, our parsimonious tendencies mean that we focus almost exclusively on those dispositions whose manifestations result in some sort of change – changes in properties, locations, velocities and so on. Following this tendency, our notion of causation is one that is inherently dynamic, as if the maintenance of the status quo were merely a given. Contrary to this position, I argue that a complete concept of causation must also account for dispositions whose manifestations involve no (...)
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  • Pluralities, counterparts, and groups.Isaac Wilhelm - 2022 - Philosophical Studies 179 (7):2133-2153.
    I formulate a theory of groups based on pluralities and counterparts: roughly put, a group is a plurality of entities at a time. This theory comes with counterpart-theoretic semantics for modal and temporal sentences about groups. So this theory of groups is akin to the stage theory of material objects: both take the items they analyze to exist at a single time, and both use counterparts to satisfy certain conditions relating to the modal properties, temporal properties, and coincidence properties of (...)
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  • Macroscopic ontology in Everettian quantum mechanics.Alastair Wilson - 2011 - Philosophical Quarterly 61 (243):363-382.
    Simon Saunders and David Wallace have proposed an attractive semantics for interpreting linguistic communities embedded in an Everettian multiverse. It provides a charitable interpretation of our ordinary talk about the future, and allows us to retain a principle of bivalence for propositions and to retain the law of excluded middle in the logic of propositions about the future. But difficulties arise when it comes to providing an appropriate account of the metaphysics of macroscopic objects and events. I evaluate various metaphysical (...)
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  • Illusions of gunk.J. Robert G. Williams - 2006 - Philosophical Perspectives 20 (1):493–513.
    Worlds where things divide forever ("gunk" worlds) are apparently conceivable. The conceivability of such scenarios has been used as an argument against "nihilist" or "near-nihilist" answers to the special composition question. I argue that the mereological nihilist has the resources to explain away the illusion that gunk is possible.
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  • Everything.Timothy Williamson - 2003 - Philosophical Perspectives 17 (1):415–465.
    On reading the last sentence, did you interpret me as saying falsely that everything — everything in the entire universe — was packed into my carry-on baggage? Probably not. In ordinary language, ‘everything’ and other quantifiers (‘something’, ‘nothing’, ‘every dog’, ...) often carry a tacit restriction to a domain of contextually relevant objects, such as the things that I need to take with me on my journey. Thus a sentence of the form ‘Everything Fs’ is true as uttered in a (...)
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  • Irreducibly collective existence and bottomless nihilism.Jonas Werner - 2022 - Synthese 200 (2):1-16.
    This paper develops the metaphysical hypothesis that there are irreducibly collective pluralities, pluralities of objects that do not have a singular object among them. A way to formulate this hypothesis using plural quantification will be proposed and the coherence of irreducibly collective existence will be defended. Furthermore, irreducibly collective existence will be shown to allow for bottomless scenarios that do not involve things standing in relations of parthood. This will create logical space for an anti-atomistic form of mereological nihilism.
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  • Brutal Composition.Ned Markosian - 1998 - Philosophical Studies 92 (3):211 - 249.
    According to standard, pre-philosophical intuitions, there are many composite objects in the physical universe. There is, for example, my bicycle, which is composed of various parts - wheels, handlebars, molecules, atoms, etc. Recently, a growing body of philosophical literature has concerned itself with questions about the nature of composition.1 The main question that has been raised about composition is, roughly, this: Under what circumstances do some things compose, or add up to, or form, a single object? It turns out that (...)
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  • Quantifier Variance and Indefinite Extensibility.Jared Warren - 2017 - Philosophical Review 126 (1):81-122.
    This essay clarifies quantifier variance and uses it to provide a theory of indefinite extensibility that I call the variance theory of indefinite extensibility. The indefinite extensibility response to the set-theoretic paradoxes sees each argument for paradox as a demonstration that we have come to a different and more expansive understanding of ‘all sets’. But indefinite extensibility is philosophically puzzling: extant accounts are either metasemantically suspect in requiring mysterious mechanisms of domain expansion, or metaphysically suspect in requiring nonstandard assumptions about (...)
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  • Ontology, Set Theory, and the Paraphrase Challenge.Jared Warren - 2021 - Journal of Philosophical Logic 50 (6):1231-1248.
    In many ontological debates there is a familiar challenge. Consider a debate over X s. The “small” or anti-X side tries to show that they can paraphrase the pro-X or “big” side’s claims without any loss of expressive power. Typically though, when the big side adds whatever resources the small side used in their paraphrase, the symmetry breaks down. The big side plus small’s resources is a more expressively powerful and thus more theoretically fruitful theory. In this paper, I show (...)
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  • Ontological Commitment and Ontological Commitments.Jared Warren - 2020 - Philosophical Studies 177 (10):2851-2859.
    The standard account of ontological commitment is quantificational. There are many old and well-chewed-over challenges to the account, but recently Kit Fine added a new challenge. Fine claimed that the ‘‘quantificational account gets the basic logic of ontological commitment wrong’’ and offered an alternative account that used an existence predicate. While Fine’s argument does point to a real lacuna in the standard approach, I show that his own account also gets ‘‘the basic logic of ontological commitment wrong’’. In response, I (...)
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  • The polysemy of ‘part’.Meg Wallace - 2019 - Synthese 198 (Suppl 18):4331-4354.
    Some philosophers assume that our ordinary parts-whole concepts are intuitive and univocal. Moreover, some assume that mereology—the formal theory of parts-whole relations—adequately captures these intuitive and univocal notions. Lewis, for example, maintains that mereology is “perfectly understood, unproblematic, and certain.” Following his lead, many assume that expressions such as ‘is part of’ are univocal, topic-neutral, and that compositional monism is true. This paper explores the rejection of –. I argue that our ordinary parts-whole expressions are polysemous; they have multiple distinct, (...)
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  • Modal Mereology and Modal Supervenience.Sean Drysdale Walsh - 2012 - Philosophical Studies 159 (1):1-20.
    David Lewis insists that restrictivist composition must be motivated by and occur due to some intuitive desiderata for a relation R among parts that compose wholes, and insists that a restrictivist’s relation R must be vague. Peter van Inwagen agrees. In this paper, I argue that restrictivists need not use such examples of relation R as a criterion for composition, and any restrictivist should reject a number of related mereological theses. This paper critiques Lewis and van Inwagen (and others) on (...)
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  • Composition as Identity: Part 2.Meg Wallace - 2011 - Philosophy Compass 6 (11):817-827.
    Many of us think that ordinary objects – such as tables and chairs – exist. We also think that ordinary objects have parts: my chair has a seat and some legs as parts, for example. But once we are committed to the (seemingly innocuous) thesis that ordinary objects are composed of parts, we then open ourselves up to a whole host of philosophical problems, most of which center on what exactly this composition relation is. Composition as Identity (CI) is the (...)
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  • Counterparts and Compositional Nihilism: A Reply to A. J. Cotnoir.Megan Wallace - 2013 - Thought: A Journal of Philosophy 2 (3):242-247.
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  • Why the social sciences are irreducible.Tobias Hansson Wahlberg - 2019 - Synthese 196 (12):4961-4987.
    It is often claimed that the social sciences cannot be reduced to a lower-level individualistic science. The standard argument for this position is the Fodorian multiple realizability argument. Its defenders endorse token–token identities between “higher-level” social objects and pluralities/sums of “lower-level” individuals, but they maintain that the properties expressed by social science predicates are often multiply realizable, entailing that type–type identities between social and individualistic properties are ruled out. In this paper I argue that the multiple realizability argument for explanatory (...)
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  • Elder-Vass on the Causal Power of Social Structures.Tobias Hansson Wahlberg - 2014 - Philosophy of the Social Sciences 44 (6):774-791.
    In this review essay, I examine the central tenets of sociologist Dave Elder-Vass’s recent contribution to social ontology, as put forth in his book The Causal Power of Social Structures: Emergence, Structure and Agency. Elder-Vass takes issue with ontological individualists and maintains that social structures exist and have causal powers in their own right. I argue that he fails to establish his main theses: he shows neither that social structures have causal powers “in their own right” (in any sense of (...)
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  • The Universe among Other Things.Achille C. Varzi - 2006 - Ratio 19 (1):107–120.
    Peter Simons has argued that the expression ‘the universe’ is not a genuine singular term: it can name neither a single, completely encompassing individual, nor a collection of individuals. (It is, rather, a semantically plural term standing equally for every existing object.) I offer reasons for resisting Simons’s arguments on both scores.
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  • Universalism entails Extensionalism.Achille C. Varzi - 2009 - Analysis 69 (4):599-604.
    I argue that Universalism (the thesis that mereological composition is unrestricted) entails Extensionalism (the thesis that sameness of composition is sufficient for identity) as long as the parthood relation is transitive and satisfies the Weak Supplementation principle (to the effect that whenever a thing has a proper part, it has another part disjoint from the first).
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  • Perdurantism, Universalism and Quantifiers.Achille C. Varzi - 2003 - Australasian Journal of Philosophy 81 (2):208-215.
    I argue that the conjunction of perdurantism (the view that objects are temporally extended) and universalism (the thesis that any old class of things has a mereological fusion) gives rise to undesired complications when combined with certain plausible assumptions concerning the semantics of tensed statements.
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  • Mereological Commitments.Achille C. Varzi - 2000 - Dialectica 54 (4):283-305.
    We tend to talk about parts in the same way in which we talk about whole objects. Yet a part is not something to be included in an inventory of the world over and above the whole to which it belongs, and a whole is not something to be included in an inventory over and above its own parts. This paper is an attempt to clarify a way of dealing with this tension which may be labeled the Minimalist View: an (...)
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  • Change, temporal parts, and the argument from vagueness.Achille C. Varzi - 2005 - Dialectica 59 (4):485–498.
    The so-called "argument from vagueness", the clearest formulation of which is to be found in Ted Sider’s book Four-dimensionalism, is arguably the most powerful and innovative argument recently offered in support of the view that objects are four-dimensional perdurants. The argument is defective--I submit--and in a number of ways that is worth looking into. But each "defect" corresponds to a model of change that is independently problematic and that can hardly be built into the common-sense picture of the world. So (...)
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  • Change, Temporal Parts, and the Argument from Vagueness.Achille C. Varzi - 2005 - Dialectica 59 (4):485-498.
    The so-called ‘argument from vagueness’ is among the most powerful and innovative arguments offered in support of the view that objects are four-dimensional perdurants. The argument is defective – I submit – and in a number of ways that are worth looking into. But each ‘defect’, each gap in the argument, corresponds to a model of change that is independently problematic and that can hardly be built into the common-sense picture of the world. So once all the gaps of the (...)
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  • Boundaries, continuity, and contact.Achille C. Varzi - 1997 - Noûs 31 (1):26-58.
    There are conflicting intuitions concerning the status of a boundary separating two adjacent entities (or two parts of the same entity). The boundary cannot belong to both things, for adjacency excludes overlap; and it cannot belong to neither, for nothing lies between two adjacent things. Yet how can the dilemma be avoided without assigning the boundary to one thing or the other at random? Some philosophers regard this as a reductio of the very notion of a boundary, which should accordingly (...)
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  • Brute necessity.James Van Cleve - 2018 - Philosophy Compass 13 (9):e12516.
    In a growing number of papers, one encounters arguments to the effect that certain philosophical views are objectionable because they would imply that there are necessary truths for whose necessity there is no explanation. That is, they imply that there are propositions p such that (a) it is necessary that p, but (b) there is no explanation why it is necessary that p. For short, they imply that there are “brute necessities.” Therefore, the arguments conclude, the views in question should (...)
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  • Plural quantification and classes.Gabriel Uzquiano - 2003 - Philosophia Mathematica 11 (1):67-81.
    When viewed as the most comprehensive theory of collections, set theory leaves no room for classes. But the vocabulary of classes, it is argued, provides us with compact and, sometimes, irreplaceable formulations of largecardinal hypotheses that are prominent in much very important and very interesting work in set theory. Fortunately, George Boolos has persuasively argued that plural quantification over the universe of all sets need not commit us to classes. This paper suggests that we retain the vocabulary of classes, but (...)
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  • Quantification, Inference, and Ontology.Gabriel Uzquiano - 2018 - Analysis 78 (2):303-315.
    Thomas Hofweber has written a very rich book. In line with the conviction that ontology should be informed by linguistic considerations, he develops a systematic approach to central ontological questions as they arise in different regions of discourse. More generally, the book seeks to cast light upon the nature of ontology and its proper place in enquiry. His preferred methodology is not without consequence: it promises, for example, to solve what otherwise look like intractable philosophical puzzles raised by arithmetical practice (...)
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  • Numbers and Propositions Versus Nominalists: Yellow Cards for Salmon & Soames. [REVIEW]Rafal Urbaniak - 2012 - Erkenntnis 77 (3):381-397.
    Salmon and Soames argue against nominalism about numbers and sentence types. They employ (respectively) higher-order and first-order logic to model certain natural language inferences and claim that the natural language conclusions carry commitment to abstract objects, partially because their renderings in those formal systems seem to do that. I argue that this strategy fails because the nominalist can accept those natural language consequences, provide them with plausible and non-committing truth conditions and account for the inferences made without committing themselves to (...)
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  • Challenging Lewis’s challenge to the best system account of lawhood.Rafal Urbaniak & Bert Leuridan - 2018 - Synthese 195 (4):1649-1666.
    David Lewis has formulated a well-known challenge to his Best System account of lawhood: the content of any system whatever can be formulated very simply if one allows for perverse choices of primitive vocabulary. We show that the challenge is not that dangerous, and that to account for it one need not invoke natural properties or relativized versions of the Best System account. This way, we help to move towards an even better Best System account. We discuss extensions of our (...)
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  • Computational Artifacts: the Things of Computer Science.Raymond Turner - 2019 - Philosophy and Technology 10 (2):47-69.
    The reviewers Rapaport, Stephanou, Angius, Primiero, and Bringsjord of Turner cover a broad range of topics in the philosophy of computer science. They either challenge the positions outlined in Turner or offer a more refined analysis. This article is a response to their challenges.
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  • Computational Artifacts: the Things of Computer Science.Raymond Turner - 2020 - Philosophy and Technology 33 (2):357-367.
    The reviewers Rapaport, Stephanou, Angius, Primiero, and Bringsjord of Turner cover a broad range of topics in the philosophy of computer science. They either challenge the positions outlined in Turner or offer a more refined analysis. This article is a response to their challenges.
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  • Curbing Enthusiasm About Grounding.Jason Turner - 2016 - Philosophical Perspectives 30 (1):366-396.
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  • Prioritizing platonism.Kelly Trogdon & Sam Cowling - 2019 - Philosophical Studies 176 (8):2029-2042.
    Discussion of atomistic and monistic theses about abstract reality.
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  • Grounding-mechanical explanation.Kelly Trogdon - 2018 - Philosophical Studies 175 (6):1289-1309.
    Characterization of a form of explanation involving grounding on the model of mechanistic causal explanation.
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  • Phenomenal Experience and the Metaphysics of Persistence.Michael Traynor - 2014 - Proceedings of the Aristotelian Society 114 (3pt3):381-388.
    I will adapt part of an argument in Prosser to the case of persistence, to conclude that our experience does not favour any particular theory of persistence—our immediate experience cannot rightly be considered as evidence in this context. Even if it does in fact seem that objects persist by enduring, this cannot be because they do in fact endure; and if things do in fact persist by perduring, this should not be considered to be in spite of appearances. Thus any (...)
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  • Simples and the possibility of discrete space.Neal A. Tognazzini - 2006 - Australasian Journal of Philosophy 84 (1):117 – 128.
    What are the necessary and jointly sufficient conditions for an object's being a simple (an object without proper parts)? According to one prominent view, The Pointy View of Simples, an object is a simple if and only if the region occupied by that object contains exactly one point in space. According to another prominent view, MaxCon, an object is a simple if and only if it is maximally continuous. In this paper, I argue that both of these views are inconsistent (...)
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  • Musical materialism and the inheritance problem.Chris Tillman & J. Spencer - 2012 - Analysis 72 (2):252-259.
    Some hold that musical works are fusions of, or coincide with, their performances. But if performances contain wrong notes, won't works inherit that property? We say ‘no’.
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  • How Counterpart Theory Saves Nonreductive Physicalism.Justin Tiehen - 2019 - Mind 128 (509):139-174.
    Nonreductive physicalism faces serious problems regarding causal exclusion, causal heterogeneity, and the nature of realization. In this paper I advance solutions to each of those problems. The proposed solutions all depend crucially on embracing modal counterpart theory. Hence, the paper’s thesis: counterpart theory saves nonreductive physicalism. I take as my inspiration the view that mental tokens are constituted by physical tokens in the same way statues are constituted by lumps of clay. I break from other philosophers who have pursued this (...)
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  • There is no reason to replace the Razor with the Laser.Simon Thunder - 2021 - Synthese 199 (3-4):7265-7282.
    In recent times it has become common to encounter philosophers who recommend the replacement of one principle concerning theory choice, Ockham’s Razor, with another: the Laser. Whilst the Razor tells us not to multiply entities beyond necessity, the Laser tells us only to avoid multiplying fundamental entities beyond necessity. There appear to be seven arguments in the literature for the Laser. They divide into three categories: arguments from the nature of non-fundamentality attempt to motivate the Laser by appeal to various (...)
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  • Compositional Explanatory Relations and Mechanistic Reduction.Kari L. Theurer - 2013 - Minds and Machines 23 (3):287-307.
    Recently, some mechanists have embraced reductionism and some reductionists have endorsed mechanism. However, the two camps disagree sharply about the extent to which mechanistic explanation is a reductionistic enterprise. Reductionists maintain that cellular and molecular mechanisms can explain mental phenomena without necessary appeal to higher-level mechanisms. Mechanists deny this claim. I argue that this dispute turns on whether reduction is a transitive relation. I show that it is. Therefore, mechanistic explanations at the cellular and molecular level explain mental phenomena. I (...)
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  • The mereology of thermodynamic equilibrium.Michael te Vrugt - 2021 - Synthese 199 (5-6):12891-12921.
    The special composition question, which asks under which conditions objects compose a further object, establishes a central debate in modern metaphysics. Recent successes of inductive metaphysics, which studies the implications of the natural sciences for metaphysical problems, suggest that insights into the SCQ can be gained by investigating the physics of composite systems. In this work, I show that the minus first law of thermodynamics, which is concerned with the approach to equilibrium, leads to a new approach to the SCQ, (...)
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  • Parts, classes and Parts of Classes : an anti-realist reading of Lewisian mereology.Neil Tennant - 2013 - Synthese 190 (4):709-742.
    This study is in two parts. In the first part, various important principles of classical extensional mereology are derived on the basis of a nice axiomatization involving ‘part of’ and fusion. All results are proved here with full Fregean rigor. They are chosen because they are needed for the second part. In the second part, this natural-deduction framework is used in order to regiment David Lewis’s justification of his Division Thesis, which features prominently in his combination of mereology with class (...)
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  • Priority Monism and Junk.Jamie Taylor - 2021 - Analytic Philosophy 63 (1):44-61.
    Analytic Philosophy, Volume 63, Issue 1, Page 44-61, March 2022.
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  • Pilot-Wave Theory Without Nonlocality.Paul Tappenden - 2022 - Foundations of Physics 52 (5):1-15.
    It’s generally taken to be established that no local hidden-variable theory is possible. That conclusion applies if our world is a _thread_, where a thread is a world where particles follow trajectories, as in Pilot-Wave theory. But if our world is taken to be a _set_ of threads locality can be recovered. Our world can be described by a _many-threads_ theory, as defined by Jeffrey Barrett in the opening quote. Particles don’t follow trajectories because a particle in our world is (...)
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  • Objective probability and the mind-body relation.Paul Tappenden - 2017 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 57:8-16.
    Objective probability in quantum mechanics is often thought to involve a stochastic process whereby an actual future is selected from a range of possibilities. Everett’s seminal idea is that all possible definite futures on the pointer basis exist as components of a macroscopic linear superposition. I demonstrate that these two conceptions of what is involved in quantum processes are linked via two alternative interpretations of the mind-body relation. This leads to a fission, rather than divergence, interpretation of Everettian theory and (...)
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  • A Metaphysics for Semantic Internalism.Paul Tappenden - 2011 - Metaphysica 12 (2):125-136.
    The contemporary popularity of semantic externalism has arisen from so-called Twin Earth thought experiments which suggest that the representational content of a natural kind term cannot be wholly determined by processes within a speaker's body. Such arguments depend on the intuition that the extensions of natural kind terms cannot have changed as the result of the scientific investigation of natural kinds' constitutions. I demonstrate that this externalist intuition depends on an assumption about the mentality of isomorphic doppelgangers which has never (...)
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  • Not a Total failure.Jonathan Tallant - 2010 - Philosophia 38 (4):795-810.
    In this paper I offer a partial defence of Armstrong’s totality relation as a solution to the problem of so-called “negative existentials”.
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