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Parts: a study in ontology

New York: Oxford University Press (1987)

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  1. Some stuffs are not sums of stuff.David Barnett - 2004 - Philosophical Review 113 (1):89-100.
    Milk, sand, plastic, uranium, wood, carbon, and oil are kinds of stuff. The sand in Hawaii, the uranium in North Korea, and the oil in Iraq are portions of stuff. Not everyone believes in portions of stuff.1 Those who do are likely to agree that, whatever their more specific natures, portions of stuff can at least be identified with mereological sums of their subportions.2 It seems after all trivial that a given portion of stuff just is all of its subportions (...)
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  • Objects and Events: an Investigation into their Identification.Riccardo Baratella - 2020 - Philosophia 48 (4):1363-1380.
    John goes out for a walk. If John endures and his walk perdures, they are different entities. However, what if both John and his walk perdure? Is John’s walk identical to his relevant temporal part? Some philosophers answer in the affirmative. Their motivations rest on ontological parsimony and the quest for clear-cut identity criteria for existing things. By contrast, one of the most widely accepted theories of events – the theory of events as property-exemplifications – allows us to formulate an (...)
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  • Are There Occurrent Continuants? A Reply to Stout’s “The Category of Occurrent Continuants”.Riccardo Baratella - 2020 - Dialectica 74 (3).
    Processes are occurrents that were, are, or will be happening. They endure or they perdure, i.e. they are either “fully” present at every time they happen, or they rather have temporal parts. According to Stout (2016), they endure. His argument assumes that processes may change. Then, Stout argues that, if something changes, it endures. As I show, Stout’s Argument misses its target. In particular, it makes use of a notion of change that is either intuitive but illegitimate or technical but (...)
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  • Are Events Things of the Past?Julian Bacharach - 2021 - Mind 130 (518):381-412.
    A popular claim in recent philosophy of mind and action is that events only exist once they are over. This has been taken to have the consequence that many temporal phenomena cannot be understood ‘from the inside’, as they are unfolding, purely in terms of events. However, as I argue here, the claim that events exist only when over is incoherent. I consider two ways of understanding the claim and the notion of existence it involves: one that ties existence to (...)
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  • Anaxagoras, the Thoroughgoing Infinitist: The Relation between his Teachings on Multitude and on Heterogeneity.Miloš Arsenijević, Saša Popović & Miloš Vuletić - 2019 - European Journal of Analytic Philosophy 15 (1):35-70.
    In the analysis of Anaxagoras’ physics in view of the relation between his teachings on multitude and heterogeneity, two central questions emerge: 1) How can the structure of the universe considered purely mereo-topologically help us explain that at the first cosmic stage no qualitative difference is manifest in spite of the fact that the entire qualitative heterogeneity is supposedly already present there? 2) How can heterogeneity become manifest at the second stage, resulting from the noûs intervention, if according to fragment (...)
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  • Machine consciousness: A manifesto for robotics.Antonio Chella & Riccardo Manzotti - 2009 - International Journal of Machine Consciousness 1 (1):33-51.
    Machine consciousness is not only a technological challenge, but a new way to approach scientific and theoretical issues which have not yet received a satisfactory solution from AI and robotics. We outline the foundations and the objectives of machine consciousness from the standpoint of building a conscious robot.
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  • Estados de cosas en el tiempo.José Tomás Alvarado Marambio - 2013 - Revista de Humanidades de Valparaíso 2:83-104.
    A ‘state of affairs’ is understood here as any kind of concrete entity that can play the role of truthmaker. Different ontologies propose different structures of entities to work as ‘states of affairs’ in this sense. Defenders of universals will propose for the role non- mereological structures of universals, objects and times. Defenders of tropes will propose tropes, either with or without universals and objects. Resemblance nominalists will propose primitive ontological facts of resemblance between objects in time. In any of (...)
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  • Identity and Becoming.Robert Allen - 2000 - Southern Journal of Philosophy 38 (4):527-548.
    A material object is constituted by a sum of parts all of which are essential to the sum but some of which seem inessential to the object itself. Such object/sum of parts pairs include my body/its torso and appendages and my desk/its top, drawers, and legs. In these instances, we are dealing with objects and their components. But, fundamentally, we may also speak, as Locke does, of an object and its constitutive matter—a “mass of particles”—or even of that aggregate and (...)
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  • The (multiple) realization of psychological and other properties in the sciences.Kenneth Aizawa & Carl Gillett - 2009 - Mind and Language 24 (2):181-208.
    Abstract: There has recently been controversy over the existence of 'multiple realization' in addition to some confusion between different conceptions of its nature. To resolve these problems, we focus on concrete examples from the sciences to provide precise accounts of the scientific concepts of 'realization' and 'multiple realization' that have played key roles in recent debates in the philosophy of science and philosophy of psychology. We illustrate the advantages of our view over a prominent rival account ( Shapiro, 2000 and (...)
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  • An Ontic Account of Explanatory Reduction in Biology.Marie I. Kaiser - 2012 - Köln: Kölner Hochschulschriften.
    Convincing disputes about explanatory reductionism in the philosophy of biology require a clear and precise understanding of what a reductive explanation in biology is. The central aim of this book is to provide such an account by revealing the features that determine the reductive character of a biological explanation. Chapters I-IV provide the ground, on which I can then, in Chapter V, develop my own account of explanatory reduction in biology: Chapter I reveals the meta-philosophical assumptions that underlie my analysis (...)
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  • Vague Objects and Vague Identity: New Essays on Ontic Vagueness.Ken Akiba & Ali Abasnezhad (eds.) - 2014 - Dordrecht, Netherland: Springer.
    This unique anthology of new, contributed essays offers a range of perspectives on various aspects of ontic vagueness. It seeks to answer core questions pertaining to onticism, the view that vagueness exists in the world itself. The questions to be addressed include whether vague objects must have vague identity, and whether ontic vagueness has a distinctive logic, one that is not shared by semantic or epistemic vagueness. The essays in this volume explain the motivations behind onticism, such as the plausibility (...)
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  • BFO and DOLCE: So Far, So Close….Nicola Guarino - 2017 - Cosmos + Taxis 4 (4):10-18.
    A survey of the similarities and differences between BFO and DOLCE, and of the mutual interactions between Nicola Guarino and Barry Smith.
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  • Mettere a Fuoco Il Mondo. Conversazioni sulla Filosofia di Achille Varzi (Special Issue of Isonomia – Epistemologica).Elena Casetta, Valeria Giardino, Andrea Borghini, Patrizia Pedrini, Francesco Calemi, Daniele Santoro, Giuliano Torrengo, Claudio Calosi, Pierluigi Graziani & Achille C. Varzi (eds.) - 2014 - ISONOMIA – Epistemologica. University of Urbino.
    Achille Varzi è uno dei maggiori metafisici viventi. Nel corso degli anni ha scritto testi fondamentali di logica, metafisica, mereologia, filosofia del linguaggio. Ha sconfinato nella topologia, nella geografia, nella matematica, ha ragionato di mostri e confini, percezione e buchi, viaggi nel tempo, nicchie, eventi e ciambelle; e non ha disdegnato di dialogare con gli abitanti di Flatlandia, con Neo e con Terminator. Tra le sue opere principali: Holes and Other Superficialities e Parts and Places. The Structures of Spatial Representation, (...)
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  • Dinge und Eigenschaften: Versuch zur Ontologie.Daniel von Wachter - 2000 - Verlag J.H. Röll.
    Discusses Armstrong's and Roman Ingarden's ontology, criticises substance ontology, and defends tropes and a field ontology.
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  • The Golden Age of Polish Philosophy. Kaziemierz Twardowski’s philosophical legacy.Sandra Lapointe, Jan Wolenski, Mathieu Marion & Wioletta Miskiewicz (eds.) - 2009 - Dordrecht, Netherland: Springer.
    This volume portrays the Polish or Lvov-Warsaw School, one of the most influential schools in analytic philosophy, which, as discussed in the thorough introduction, presented an alternative working picture of the unity of science.
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  • Proceedings of Sinn und Bedeutung 9.Emar Maier, Corien Bary & Janneke Huitink (eds.) - 2005 - Nijmegen Centre for Semantics.
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  • Philosophy and Cognitive Sciences: Proceedings of the 16th International Wittgenstein Symposium (Kirchberg Am Wechsel, Austria 1993).Roberto Casati & Barry Smith (eds.) - 1994 - Vienna: Wien: Hölder-Pichler-Tempsky.
    Online collection of papers by Devitt, Dretske, Guarino, Hochberg, Jackson, Petitot, Searle, Tye, Varzi and other leading thinkers on philosophy and the foundations of cognitive Science. Topics dealt with include: Wittgenstein and Cognitive Science, Content and Object, Logic and Foundations, Language and Linguistics, and Ontology and Mereology.
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  • Substance and Independence in Aristotle.Phil Corkum - 2013 - In B. Schnieder, A. Steinberg & M. Hoeltje (eds.), Varieties of Dependence: Ontological Dependence, Supervenience, and Response-Dependence. Basic Philosophical Concepts Series, Philosophia Verlag. pp. 36-67.
    Individual substances are the ground of Aristotle’s ontology. Taking a liberal approach to existence, Aristotle accepts among existents entities in such categories other than substance as quality, quantity and relation; and, within each category, individuals and universals. As I will argue, individual substances are ontologically independent from all these other entities, while all other entities are ontologically dependent on individual substances. The association of substance with independence has a long history and several contemporary metaphysicians have pursued the connection. In this (...)
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  • Ontology: Towards a new synthesis.Barry Smith & Chris Welty - 2001 - In Formal Ontology in Information Systems. New York: ACM Press.
    This introduction to the second international conference on Formal Ontology and Information Systems presents a brief history of ontology as a discipline spanning the boundaries of philosophy and information science. We sketch some of the reasons for the growth of ontology in the information science field, and offer a preliminary stocktaking of how the term ‘ontology’ is currently used. We conclude by suggesting some grounds for optimism as concerns the future collaboration between philosophical ontologists and information scientists.
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  • Basic Problems of Mereotopology.Achille C. Varzi - 1998 - In Nicola Guarino (ed.), Formal Ontology in Information Systems. Ios Press. pp. 29–38.
    Mereotopology is today regarded as a major tool for ontological analysis, and for many good reasons. There are, however, a number of open questions that call for an answer. Some are philosophical, others have direct applicative import, but all are crucial for a proper assessment of the strengths and limits of mereotopology. This paper is an attempt to put sum order in this area.
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  • In defense of extreme (fallibilistic) apriorism.B. Smith - 1996 - Journal of Libertarian Studies 12 (1):179–192.
    We presuppose a position of scientific realism to the effect (i) that the world exists and (ii) that through the working out of ever more sophisticated theories our scientific picture of reality will approximate ever more closely to the world as it really is. Against this background consider, now, the following question: 1. Do the empirical theories with the help of which we seek to approximate a good or true picture of reality rest on any non-empirical presuppositions? One can answer (...)
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  • Boundaries: An essay in mereotopology.Barry Smith - 1997 - In Lewis H. Hahn (ed.), Philosophy of Roderick Chisholm (Library of Living Philosophers). Open Court. pp. 534--561.
    Of Chisholm’s many signal contributions to analytic metaphysics, perhaps the most important is his treatment of boundaries, a category of entity that has been neglected, to say the least, in the history of ontology. We can gain some preliminary idea of the sorts of problems which the Chisholmian ontology of boundaries is designed to solve, if we consider the following Zeno-inspired thought-experiment.
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  • Against Fantology.Barry Smith - 2005 - In Johann C. Marek & Maria E. Reicher (eds.), Experience and Analysis. Vienna: HPT&ÖBV. pp. 153-170.
    The analytical philosophy of the last hundred years has been heavily influenced by a doctrine to the effect that the key to the correct understanding of reality is captured syntactically in the ‘Fa’ (or, in more sophisticated versions, in the ‘Rab’) of standard first order predicate logic. Here ‘F’ stands for what is general in reality and ‘a’ for what is individual. Hence “f(a)ntology”. Because predicate logic has exactly two syntactically different kinds of referring expressions—‘F’, ‘G’, ‘R’, etc., and ‘a’, (...)
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  • A Trope Theoretical Analysis of Relational Inherence.Markku Keinänen - 2018 - In Jaakko Kuorikoski & Teemu Toppinen (eds.), Action, Value and Metaphysics - Proceedings of the Philosophical Society of Finland Colloquium 2018, Acta Philosophica Fennica 94. Helsinki: Societas Philosophica Fennica. pp. 161-189.
    The trope bundle theories of objects are capable of analyzing monadic inherence (objects having tropes), which is one of their main advantage. However, the best current trope theoretical account of relational tropes, namely, the relata specific view leaves relational inherence (a relational trope relating two or more entities) primitive. This article presents the first trope theoretical analysis of relational inherence by generalizing the trope theoretical analysis of inherence to relational tropes. The analysis reduces the holding of relational inherence to the (...)
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  • The limits of classical mereology: Mixed fusions and the failures of mereological hybridism.Joshua Kelleher - 2020 - Dissertation, The University of Queensland
    In this thesis I argue against unrestricted mereological hybridism, the view that there are absolutely no constraints on wholes having parts from many different logical or ontological categories, an exemplar of which I take to be ‘mixed fusions’. These are composite entities which have parts from at least two different categories – the membered (as in classes) and the non-membered (as in individuals). As a result, mixed fusions can also be understood to represent a variety of cross-category summation such as (...)
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  • Structuring reality.Naomi Margaret Claire Thompson - 2014 - Dissertation, University of Birmingham
    This thesis explores attempts to characterise the structure of reality. Three notions stand out: Lewisian naturalness, Sider’s ‘structure’, and grounding, where the latter has become the most popular way to characterise the structure of reality in the contemporary literature. I argue that none of these notions, as they are currently understood, are suited for limning the metaphysical structure of reality. In the first part of the thesis I argue that, by the lights of the relevant theories, both naturalness and structure (...)
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  • Ontology.Barry Smith - 2012 - In Guillermo Hurtado & Oscar Nudler (eds.), The Furniture of the World: Essays in Ontology and Metaphysics. Amsterdam: Editions Rodopi.
    Ontology as a branch of philosophy is the science of what is, of the kinds and structures of objects, properties, events, processes and relations in every area of reality. ‘Ontology’ in this sense is often used by philosophers as a synonym of ‘metaphysics’ (a label meaning literally: ‘what comes after the Physics’), a term used by early students of Aristotle to refer to what Aristotle himself called ‘first philosophy’. But in recent years, in a development hardly noticed by philosophers, the (...)
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  • Nothing over and above.Theodore Sider - 2015 - Grazer Philosophische Studien 91 (1):191-216.
    The slogan “the whole is nothing over and above the parts” and related vague thoughts animate many theories of parthood and arguably are central to our ordinary conception. I examine some issues connected with this slogan.
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  • Non-transitive Parthood, Leveled Mereology, and the Representation of Emergent Parts of Processes.Johanna Seibt - 2014 - Grazer Philosophische Studien 91:161-190.
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  • Mereological Essentialism and Mereological Inessentialism.Dwayne Moore - 2015 - Croatian Journal of Philosophy 15 (1):67-85.
    Mereological essentialists argue that mereological summations cannot change their parts. Mereological inessentialists argue that mereological summations can change some or all of their parts. In this paper I articulate and defend a position called Moderate Mereological Inessentialism, according to which certain mereological summations can change some, but not all, of their parts. Persistent mereological summations occur when the functional parts of mereological summations persist through alterations to its spatial parts.
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  • Composition and Identities.Manuel Lechthaler - 2017 - Dissertation, University of Otago
    Composition as Identity is the view that an object is identical to its parts taken collectively. I elaborate and defend a theory based on this idea: composition is a kind of identity. Since this claim is best presented within a plural logic, I develop a formal system of plural logic. The principles of this system differ from the standard views on plural logic because one of my central claims is that identity is a relation which comes in a variety of (...)
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  • Abstract objects.Gideon Rosen - 2008 - Stanford Encyclopedia of Philosophy.
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  • Ordinary objects.Daniel Z. Korman - 2011 - Stanford Encyclopedia of Philosophy.
    An encyclopedia entry which covers various revisionary conceptions of which macroscopic objects there are, and the puzzles and arguments that motivate these conceptions: sorites arguments, the argument from vagueness, the puzzles of material constitution, arguments against indeterminate identity, arguments from arbitrariness, debunking arguments, the overdetermination argument, and the problem of the many.
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  • Contingencies within Spacetime.Baptiste Le Bihan - 2015 - Dissertation, University of Rennes 1
    I begin by giving reasons to accept the block-universe view, the strongly supported by physics view that we live in a four-dimensional world. According to it, the past and the future are as real as the present. As a result, it seems that the future is determined in the sense that what will be the case will necessarily be the case. In the dissertation, I examine whether we have to accept this consequence. I show that we do not have to (...)
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  • Relevance, relatedness and restricted set theory.Barry Smith - 1991 - In Georg Schurz & Georg Jakob Wilhelm Dorn (eds.), Advances in Scientific Philosophy. Amsterdam: Rodopi. pp. 45-56.
    Relevance logic has become ontologically fertile. No longer is the idea of relevance restricted in its application to purely logical relations among propositions, for as Dunn has shown in his (1987), it is possible to extend the idea in such a way that we can distinguish also between relevant and irrelevant predications, as for example between “Reagan is tall” and “Reagan is such that Socrates is wise”. Dunn shows that we can exploit certain special properties of identity within the context (...)
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  • The Modal Dimension.Giluano Torrengo - 2011 - Humana Mente 4 (19):105-120.
    Space and time are two obvious candidates as dimensions of reality. Yet, are they the only two dimensions of reality? Famously, David Lewis maintained the doctrine of ―modal realism‖, the thesis that possible worlds exist and are entities as concrete as the actual world that we live in. In this paper, I will explore the idea that modality can be construed as a dimension along with space and time. However, although Lewis‘ modal realism is the main source of inspiration for (...)
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  • Fuzzy mereology.Josh Parsons - unknown
    This paper began life as a short section of a more general paper about non-classical mereologies. In that paper I had a mereological theory that I wanted to show could be applied to all sorts of different metaphysical positions — notably, to those positions that believe in mereological vagueness in re — in “vague individuals”. To do that I felt I first had to dispatch the leading rival theory of vague individuals, which is due to Peter van Inwa-gen, and holds (...)
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  • Kognitionsforskningens topologiske grundlag.Barry Smith - 2003 - Semikolon 3 (7):91-105.
    The paper introduces the concepts at the heart of point-set-topology and of mereotopology (topology founded in the non-atomistic theory of parts and wholes) in an informal and intuitive fashion. It will then seek to demonstrate how mereotopological ideas can be of particular utility in cognitive science applications. The prehistory of such applications (in the work of Husserl, the Gestaltists, of Kurt Lewin and of J. J. Gibson) will be sketched, together with an indication of the field of possibilities in linguistics, (...)
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  • Ontology and the logistic analysis of reality.Barry Smith - 1993 - In Nicola Guarino & Roberto Poli (eds.), Proceedings of the International Workshop on Formal Ontology in Conceptual Analysis and Knowledge Representation. Italian National Research Council. pp. 51-68.
    I shall attempt in what follows to show how mereology, taken together with certain topological notions, can yield the basis for future investigations in formal ontology. I shall attempt to show also how the mereological framework here advanced can allow the direct and natural formulation of a series of theses – for example pertaining to the concept of boundary – which can be formulated only indirectly (if at all) in set-theoretic terms.
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  • The Ship of Theseus Puzzle.David Rose, Edouard Machery, Stephen Stich, Mario Alai, Adriano Angelucci, Renatas Berniūnas, Emma E. Buchtel, Amita Chatterjee, Hyundeuk Cheon, In-Rae Cho, Daniel Cohnitz, Florian Cova, Vilius Dranseika, Angeles Eraña Lagos, Laleh Ghadakpour, Maurice Grinberg, Ivar Hannikainen, Takaaki Hashimoto, Amir Horowitz, Evgeniya Hristova, Yasmina Jraissati, Veselina Kadreva, Kaori Karasawa, Hackjin Kim, Yeonjeong Kim, Min-Woo Lee, Carlos Mauro, Masaharu Mizumoto, Sebastiano Moruzzi, Christopher Y. Olivola, Jorge Ornelas, Barbara Osimani, Alejandro Rosas, Carlos Romero, Massimo Sangoi, Andrea Sereni, Sarah Songhorian, Paulo Sousa, Noel Struchiner, Vera Tripodi, Naoki Usui, Alejandro Vázquez Del Vázquez Del Mercado, Giorgio Volpe, Hrag A. Vosgerichian, Xueyi Zhang & Jing Zhu - 2020 - In Tania Lombrozo, Joshua Knobe & Shaun Nichols (eds.), Oxford Studies in Experimental Philosophy Volume 3. Oxford University Press. pp. 158-174.
    Does the Ship of Theseus present a genuine puzzle about persistence due to conflicting intuitions based on “continuity of form” and “continuity of matter” pulling in opposite directions? Philosophers are divided. Some claim that it presents a genuine puzzle but disagree over whether there is a solution. Others claim that there is no puzzle at all since the case has an obvious solution. To assess these proposals, we conducted a cross-cultural study involving nearly 3,000 people across twenty-two countries, speaking eighteen (...)
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  • The Earth and the Aleph.Josh Parsons - manuscript
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  • An extensionalist's guide to non-extensional mereology.Josh Parsons - manuscript
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  • La catégorisation des noms communs: massifs et comptables.David Nicolas - 2002 - In Catégorisation et langage. Hermès.
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  • Formal ontology, common sense, and cognitive science.Barry Smith - 1995 - International Journal of Human-Computer Studies 43 (5-6):641–667.
    Common sense is on the one hand a certain set of processes of natural cognition - of speaking, reasoning, seeing, and so on. On the other hand common sense is a system of beliefs (of folk physics, folk psychology and so on). Over against both of these is the world of common sense, the world of objects to which the processes of natural cognition and the corresponding belief-contents standardly relate. What are the structures of this world? How does the scientific (...)
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  • Composition as Identity: A Study in Ontology and Philosophical Logic.Einar Bohn - 2009 - Dissertation, University of Massachusetts, Amherst
    In this work I first develop, motivate, and defend the view that mereological composition, the relation between an object and all its parts collectively, is a relation of identity. I argue that this view implies and hence can explain the logical necessity of classical mereology, the formal study of the part-whole relation. I then critically discuss four contemporary views of the same kind. Finally, I employ my thesis in a recent discussion of whether the world is fundamentally one in number.
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  • A Note on the Transitivity of Parthood.Achille C. Varzi - 2006 - Applied ontology 1 (2):141-146.
    That parthood is a transitive relation is among the most basic principles of classical mereology. Alas, it is also very controversial. In a recent paper, Ingvar Johansson has put forward a novel diagnosis of the problem, along with a corresponding solution. The diagnosis is on the right track, I argue, but the solution is misleading. And once the pieces are properly put together, we end up with a reinforcement of the standard defense of transitivity on behalf of classical mereology.
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  • The same-order monitoring theory of consciousness.Uriah Kriegel - 2006 - In Uriah Kriegel & Kenneth Williford (eds.), Self-Representational Approaches to Consciousness. MIT Press. pp. 143--170.
    One of the promising approaches to the problem of consciousness has been the Higher-Order Monitoring Theory of Consciousness. According to the Higher-Order Monitoring Theory, a mental state M of a subject S is conscious iff S has another mental state, M*, such that M* is an appropriate representation of M. Recently, several philosophers have developed a Higher-Order Monitoring theory with a twist. The twist is that M and M* are construed as entertaining some kind of constitutive relation, rather than being (...)
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  • La physique naïve: un essai d'ontologie.Barry Smith & Roberto Casati - 1993 - Intellectica 17 (2):173--197.
    The project of a naive physics has been the subject of attention in recent years above all in the artificial intelligence field, in connection with work on common-sense reasoning, perceptual representation and robotics. The idea of a theory of the common-sense world is however much older than this, having its roots not least in the work of phenomenologists and Gestalt psychologists such as Kohler, Husserl, Schapp and Gibson. This paper seeks to show how contemporary naive physicists can profit from a (...)
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  • A Plural Reference Interpretation of Three-Dimensional Syntactic Trees.Friederike Moltmann - 2017 - In C. van Urk / H. Kotek / C. Halpert (eds.): A Pesky Set. Papers for David Pesetsky . MIT Working Papers in Linguistics (MITWPL) 80, MIT Cambridge (Mass.). Cambridge, MA:
    Various syntacticians have argued that coordinate structures involve a three-dimensional syntactic structure. This paper proposes an interpretation of three-dimensional syntactic structures in terms of plural reference and argues that such structures give further support for plural reference, the view that plural terms refer to several entities at once, rather than referring to a single plural individual.
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  • Three dogmas of metaphysical methodology.Jessica M. Wilson - 2013 - In Matthew Haug (ed.), Philosophical Methodology: The Armchair or the Laboratory? Routledge. pp. 145-165.
    In what does philosophical progress consist? 'Vertical' progress corresponds to development within a specific paradigm/framework for theorizing (of the sort associated, revolutions aside, with science); 'horizontal' progress corresponds to the identification and cultivation of diverse paradigms (of the sort associated, conservativism aside, with art and pure mathematics). Philosophical progress seems to involve both horizontal and vertical dimensions, in a way that is somewhat puzzling: philosophers work in a number of competing frameworks (like artists or mathematicians), while typically maintaining that only (...)
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