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Plato on Parts and Wholes: The Metaphysics of Structure

New York: Oxford University Press (2002)

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  1. Higher-Order One–Many Problems in Plato's Philebus and Recent Australian Metaphysics.S. Gibbons & C. Legg - 2013 - Australasian Journal of Philosophy 91 (1):119-138.
    We discuss the one–many problem as it appears in the Philebus and find that it is not restricted to the usually understood problem about the identity of universals across particulars that instantiate them (the Hylomorphic Dispersal Problem). In fact some of the most interesting aspects of the problem occur purely with respect to the relationship between Forms. We argue that contemporary metaphysicians may draw from the Philebus at least three different one–many relationships between universals themselves: instantiation, subkind and part, and (...)
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  • Structural Mereology: A Formal Elucidation and Some Metaphysical Applications.Thomas Mormann - manuscript
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  • Monism: The Priority of the Whole.Jonathan Schaffer - 2010 - Philosophical Review 119 (1):31-76.
    Consider a circle and a pair of its semicircles. Which is prior, the whole or its parts? Are the semicircles dependent abstractions from their whole, or is the circle a derivative construction from its parts? Now in place of the circle consider the entire cosmos (the ultimate concrete whole), and in place of the pair of semicircles consider the myriad particles (the ultimate concrete parts). Which if either is ultimately prior, the one ultimate whole or its many ultimate parts?
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  • Potentiality and the Matter of Composite Substance.Jonathan Beere - 2006 - Phronesis 51 (4):303-329.
    The paper examines the connection between Aristotle's theory of generated substance and his notion of potentiality in "Metaphysics" Θ.7. Aristotle insists that the matter of a substance is not what that substance is, against a competing view that was widely held both in his day and now. He coined the term thaten (ἐ[unrepresentable symbol]νινονον) in order to make this point. The term highlights a systematic correspondence between the metaphysics of matter and of quality: the relationship between a thing and its (...)
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  • Debunking a mereological myth: If composition as identity is true, universalism need not be.Nikk Effingham - manuscript
    It is a common view that if composition as identity is true, then so is mereological universalism (the thesis that all objects have a mereological fusion). Various arguments have been advanced in favour of this: (i) there has been a recent argument by Merricks, (ii) some claim that Universalism is entailed by the ontological innocence of the identity relation, (or that ontological innocence undermines objections to universalism) and (iii) it is entailed by the law of selfidentity. After a preliminary introduction (...)
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  • Mereology.Achille C. Varzi - 2016 - Stanford Encyclopedia of Philosophy.
    An overview of contemporary part-whole theories, with reference to both their axiomatic developments and their philosophical underpinnings.
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  • Parthood.Theodore Sider - 2007 - Philosophical Review 116 (1):51-91.
    There will be a few themes. One to get us going: expansion versus contraction. About an object, o, and the region, R, of space(time) in which o is exactly located,1 we may ask: i) must there exist expansions of o: objects in filled superregions2 of R? ii) must there exist contractions of o: objects in filled subregions of..
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  • Part Structures in Situations: The Semantics of 'Individual' and 'Whole'.Friederike Moltmann - 2005 - Linguistics and Philosophy 28 (5):599 - 641.
    This paper presents a theory of situated part structures involving the notion of an integrated and not just a part-of relation. The theory is applied in particular to the semantics of the modifiers 'whole' and 'individual', as in 'the whole collection' and 'the individual students'. The adnominal modifiers 'whole' and 'individual' have been entirely been ignored in the linguistic and philosophical literature, even though they pose significant challenges for standard views of reference, of the semantics of referential NPs, and for (...)
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  • (2 other versions)Scientific structuralism: On the identity and diversity of objects in a structure.James Ladyman - 2007 - Aristotelian Society Supplementary Volume 81 (1):23–43.
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  • Plato on Sunaitia.Douglas R. Campbell - 2023 - Apeiron 56 (4):739-768.
    I argue that Plato thinks that a sunaition is a mere tool used by a soul (or by the cosmic nous) to promote an intended outcome. In the first section, I develop the connection between sunaitia and Plato’s teleology. In the second section, I argue that sunaitia belong to Plato’s theory of the soul as a self-mover: specifically, they are those things that are set in motion by the soul in the service of some goal. I also argue against several (...)
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  • In search of unity: Twardowski, Husserl, and Ingarden on the unity of the object.Marek Piwowarczyk - 2022 - European Journal of Philosophy 31 (1):118-136.
    This paper is devoted to Kazimierz Twardowski's thesis that the unity of a compound object (a whole) can be ensured only by the relations between its parts and the object itself. Twardowski's idea of unity raises many difficulties, especially the threat of petitio principii: the whole is presupposed as furnishing the ground for the unification of its parts, and yet it also seems to be the result of this unification. To avoid these problems, Edmund Husserl sought to refute Twardowski's thesis, (...)
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  • Plato on chemistry.Ernesto Paparazzo - 2022 - Foundations of Chemistry 24 (2):221-238.
    It is a notion commonly acknowledged that in his work Timaeus the Athenian philosopher Plato (_c_. 429–347 BC) laid down an early chemical theory of the creation, structure and phenomena of the universe. There is much truth in this acknowledgement because Plato’s “chemistry” gives a description of the material world in mathematical terms, an approach that marks an outstanding advancement over cosmologic doctrines put forward by his predecessors, and which was very influential on western culture for many centuries. In the (...)
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  • Before the Creation of Time in Plato’s Timaeus.Daniel Vázquez - 2022 - In Daniel Vázquez & Alberto Ross (eds.), Time and Cosmology in Plato and the Platonic Tradition. Brill. pp. 111–133.
    I defend, against its more recent critics, a literal, factual, and consistent interpretation of Timaeus’ creation of the cosmos and time. My main purpose is to clarify the assumptions under which a literal interpretation of Timaeus’ cosmology becomes philosophically attractive. I propose five exegetical principles that guide my interpretation. Unlike previous literalists, I argue that assuming a “pre-cosmic time” is a mistake. Instead, I challenge the exegetical assumptions scholars impose on the text and argue that for Timaeus, a mere succession (...)
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  • Aristotle's Theory of Abstraction.Allan Bäck - 2014 - Cham, Switzerland: Springer.
    This book investigates Aristotle’s views on abstraction and explores how he uses it. In this work, the author follows Aristotle in focusing on the scientific detail first and then approaches the metaphysical claims, and so creates a reconstructed theory that explains many puzzles of Aristotle’s thought. Understanding the details of his theory of relations and abstraction further illuminates his theory of universals. Some of the features of Aristotle’s theory of abstraction developed in this book include: abstraction is a relation; perception (...)
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  • Located in Space: Plato’s Theory of Psychic Motion.Douglas R. Campbell - 2022 - Ancient Philosophy 42 (2):419-442.
    I argue that Plato thinks that the soul has location, surface, depth, and extension, and that the Timaeus’ composition of the soul out of eight circles is intended literally. A novel contribution is the development of an account of corporeality that denies the entailment that the soul is corporeal. I conclude by examining Aristotle’s objection to the Timaeus’ psychology and then the intellectual history of this reading of Plato.
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  • Gunk in the Third Deduction of Plato's Parmenides.Samuel Meister - 2022 - In Luc Brisson, Macé Arnaud & Olivier Renaut (eds.), Plato’s Parmenides: Selected Papers from the Twelfth Symposium Platonicum. Academia Verlag.
    The third deduction in Plato’s Parmenides is often given a constructive reading on which Plato’s Parmenides, or even Plato himself, presents us with a positive account of the relation between parts and wholes. However, I argue that there is a hitch in the third deduction which threatens to undermine the mereology of the third deduction by the lights of the dialogue. Roughly, even if the Others partake of the One, the account of the third deduction leads to an ontology of (...)
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  • One Over Many: The Unitary Pluralism of Plato's World.Necip Fikri Alican - 2021 - Albany: State University of New York Press.
    Corrective intervention in Plato's metaphysics replacing the standard view of Plato as a metaphysical dualist with a novel and revolutionary paradigm of unitary pluralism in a single reality built on ontological diversity.
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  • No Substances in a Substance.Marek Piwowarczyk - 2021 - Philosophia 49 (5):2243-2263.
    In this paper I analyze the most controversial thesis of Aristotelian substantialism, namely, that substances cannot be composed of other substances. I call this position the Mereological Limitation Thesis (MLT). I find MLT valid and defend it. My argument for MLT is a version of the argument from the unicity of substantial form. Every substance can have only one substantial form, thus, if some substances compose the objectO, then what binds them is only a set of their accidental forms (relations) (...)
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  • « Le Nombre "entier" ».Nathalie Nercam - 2011 - Plato Journal 11.
    Socrate étaie l’argumentation 203a-205e du Théétète par le moyen de considérations mathématiques particulières que cet article se propose d’analyser. De cet examen, il ressort que Platon accorde au philosophe et au jeune mathématicien une représentation savante du « nombre entier » comme multiplicité dynamique représentée par une figure géométrique qui manifeste le principe de cohésion dotant justement le nombre de son caractère fondamental : être « entier ». Platon montrerait que, sur cette base, la maïeutique socratique aurait permis à Théétète (...)
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  • Cohesive Causes in Ancient Greek Philosophy and Medicine.Sean Coughlin - 2020 - In Chiara Thumiger (ed.), Holism in Ancient Medicine and Its Reception. Studies in Ancient Medicine. pp. 237-267.
    This paper is about the history of a question in ancient Greek philosophy and medicine: what holds the parts of a whole together? The idea that there is a single cause responsible for cohesion is usually associated with the Stoics. They refer to it as the synectic cause (αἴτιον συνεκτικόν), a term variously translated as ‘cohesive cause,’ ‘containing cause’ or ‘sustaining cause.’ The Stoics, however, are neither the first nor the only thinkers to raise this question or to propose a (...)
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  • Guest-Editorial Introduction: Converging Evolutionary Patterns in Life and Culture.Nathalie Gontier - 2016 - Evolutionary Biology 4 (43):427-445.
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  • Suggestions On How To Combine The Platonic Forms To Overcome The Interpretative Difficulties Of The Parmenides Dialogue.Gerardo Óscar Matía Cubillo - 2021 - Revista de Filosofía de la Universidad de Costa Rica 60 (156):157-171.
    This paper provides an original approach to research on the logical processes that determine how certain forms participate in others. By introducing the concept of relational participation, the problems of self-referentiality of the Platonic forms can be dealt with more effectively. Applying this to the forms of likeness and unlikeness in Parmenides 132d-133a reveals a possible way to resolve different versions of the Third Man Argument. The method of generating numbers from oddness and evenness may also be of interest; relational (...)
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  • As duas primeiras hipóteses de Parmênides, αὐτὰ τὰ ὅμοιά e o espanto de Sócrates.Renato Matoso - 2020 - Filosofia Unisinos 21 (2).
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  • A Platonic Trope Bundle Theory.Christopher Buckels - 2020 - Ancient Philosophy Today 2 (2):91-112.
    This paper provides a rational reconstruction of a Platonic trope bundle theory that is a live alternative to contemporary bundle theories. According to the theory, Platonic particulars are composed of what Plato calls images of Forms; contemporary metaphysicians call these tropes. Tropes are dependent on Forms and the Receptacle, while trope bundles are structured by natural kinds using the Phaedo's principles of inclusion and exclusion and the Timaeus’ geometrised elements, as well as by co-location in the Receptacle. Key elements of (...)
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  • Aristotle's Ontology of Change.Mark Sentesy - 2020 - Chicago, IL, USA: Northwestern University Press.
    This book investigates what change is, according to Aristotle, and how it affects his conception of being. Mark Sentesy argues that change leads Aristotle to develop first-order metaphysical concepts such as matter, potency, actuality, sources of being, and the teleology of emerging things. He shows that Aristotle’s distinctive ontological claim—that being is inescapably diverse in kind—is anchored in his argument for the existence of change. -/- Aristotle may be the only thinker to have given a noncircular definition of change. When (...)
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  • The Unity of the Soul in Plato's Republic.Eric Brown - 2012 - In Rachel Barney, Tad Brennan & Charles Brittain (eds.), Plato and the Divided Self. New York: Cambridge University Press. pp. 53-73.
    This essay argues that Plato in the Republic needs an account of why and how the three distinct parts of the soul are parts of one soul, and it draws on the Phaedrus and Gorgias to develop an account of compositional unity that fits what is said in the Republic.
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  • Science de l’entrelacement des formes, science suprême, science des hommes libres : la dialectique dans le Sophiste 253b-254b.Nicolas Zaks - 2017 - Elenchos 38 (1-2):61-81.
    Despite intensive exegetical work, Plato’s description of dialectic in the Sophist still raises many questions. Through a close reading of this passage that contextualizes it in the general organisation of the Sophist, this paper provides answers to these questions. After presenting the difficult text, I contend that the “vowel-kinds” are necessary conditions for the blending of kinds. Then, I interpret the “cause of divisions” mentioned by the Stranger as the kinds responsible of the dichotomous division in the first half of (...)
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  • A Mapping Sentence for Understanding the Genre of Abstract Art Using Philosophical/Qualitative Facet Theory.Paul M. W. Hackett - 2017 - Frontiers in Psychology 8.
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  • (1 other version)X-R estless F orms and C hangeless C auses.Fiona Leigh - 2012 - Proceedings of the Aristotelian Society 112 (2pt2):239-261.
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  • Making Room for Particulars: Plato’s Receptacle as Space, Not Substratum.Christopher Buckels - 2016 - Apeiron 49 (3):303-328.
    The ‘traditional’ interpretation of the Receptacle in Plato’s Timaeus maintains that its parts act as substrata to ordinary particulars such as dogs and tables: particulars are form-matter compounds to which Forms supply properties and the Receptacle supplies a substratum, as well as a space in which these compounds come to be. I argue, against this view, that parts of the Receptacle cannot act as substrata for those particulars. I also argue, making use of contemporary discussions of supersubstantivalism, against a substratum (...)
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  • The Generalization Problem and the Identity Solution.Dwayne Moore - 2010 - Erkenntnis 72 (1):57-72.
    For some time now, Jaegwon Kim has argued that irreducible mental properties face the threat of causal inefficacy. The primary weapon he deploys to sustain this charge is the supervenience/exclusion argument. This argument, in a nutshell, states that any mental property that irreducibly supervenes on a physical property is excluded from causal efficacy because the underlying physical property takes care of all of the causal work itself. Originally intended for mental properties alone, it did not take long for his critics (...)
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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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  • Conhecimento e Opinião em Aristóteles (Segundos Analíticos I-33).Lucas Angioni - 2013 - In Marcelo Carvalho (ed.), Encontro Nacional Anpof: Filosofia Antiga e Medieval. Anpof. pp. 329-341.
    This chapter discusses the first part of Aristotle's Posterior Analytics A-33, 88b30-89a10. I claim that Aristotle is not concerned with an epistemological distinction between knowledge and belief in general. He is rather making a contrast between scientific knowledge (which is equivalent to explanation by the primarily appropriate cause) and some explanatory beliefs that falls short of capturing the primarily appropriate cause.
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  • Composition, Persistence, and Identity.Nikk Effingham - 2009 - In Robin Le Poidevin, Simons Peter, McGonigal Andrew & Ross P. Cameron (eds.), The Routledge Companion to Metaphysics. New York: Routledge. pp. 296.
    An introduction to composition, persistence, and identity.
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  • Mirrors for Princes.Roberto Lambertini - 2011 - In H. Lagerlund (ed.), Encyclopedia of Medieval Philosophy. Springer. pp. 791--797.
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  • Plato on Necessity and Disorder.Olof Pettersson - 2013 - Frontiers of Philosophy in China (BRILL) 8 (4):546-565.
    In the Timaeus, Plato makes a distinction between reason and necessity. This distinction is often accounted for as a distinction between two types of causation: purpose oriented causation and mechanistic causation. While reason is associated with the soul and taken to bring about its effects with the good and the beautiful as the end, necessity is understood in terms of a set of natural laws pertaining to material things. In this paper I shall suggest that there are reasons to reconsider (...)
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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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  • Kant's transcendental imagination.Gary Banham - 2005 - New York: Palgrave-Macmillan.
    The role and place of transcendental psychology in Kant's Critique of Pure Reason has been a source of some contention. This work presents a detailed argument for restoring transcendental psychology to a central place in the interpretation of Kant's Analytic, in the process providing a detailed response to more "austere" analytic readings.
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  • Two kinds of universals and two kinds of collections.Friederike Moltmann - 2004 - Linguistics and Philosophy 27 (6):739 - 776.
    This paper argues for an ontological distinction between two kinds of universals, 'kinds of tropes' such as 'wisdom' and properties such as 'the property of being wise'. It argues that the distinction is parallel to that between two kinds of collections, pluralities such as 'the students' and collective objects such as 'the class'. The paper argues for the priortity of distributive readings with pluralities on the basis of predicates of extent or shape, such 'large' or 'long'.
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  • The Dispute Over the Part-Whole Puzzle in Aristotelian Hylomorphism and Ackrill’s Problem: The Argument in Metaphysics Z 17, 1041b11-33. [REVIEW]Christos Panayides - 2023 - Apeiron 56 (2):235-260.
    One of the unresolved issues in Aristotle’s hylomorphism is the part-whole puzzle. Some scholars suppose that in Metaphysics Z 17, 1041b11-33 he endorses non-mereological hylomorphism. This kind of interpretation, however, has been challenged by K. Koslicki who argues that if the evidence in Metaphysics Z 17 is combined with some related textual and conceptual considerations, then a convincing case can be made for a mereological construal of Aristotelian hylomorphism. This paper does four things. First, it scrutinizes these opposing approaches to (...)
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  • Plato’s Timaeus and the Limits of Natural Science.Ian MacFarlane - 2023 - Apeiron 56 (3):495-517.
    The relationship between mind and necessity is one of the major points of difficulty for the interpretation of Plato’s Timaeus. At times Timaeus seems to say the demiurge is omnipotent in his creation, and at other times seems to say he is limited by pre-existing matter. Most interpretations take one of the two sides, but this paper proposes a novel approach to interpreting this issue which resolves the difficulty. This paper suggests that in his speech Timaeus presents two hypothetical models (...)
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  • Regress? I’ve Had a Few?: Infinite Regress, Similarity, Dissimilarity in the Parmenides.Saloni de Souza - 2022 - Rhizomata 10 (2):238-261.
    On Malcolm Schofield’s highly influential reading of the Similarity Regress in Part I of the Parmenides, the problem that the Regress poses is explanatory. Socrates posited the Similarity Form in order to explain why similar things are similar: similar things are similar because they participate in the Form Similarity as copies of the same original. Yet, the Similarity Regress generates an infinite series of Similarity Forms such that explanation is deferred ad infinitum. Schofield provides a philosophical incentive for adopting his (...)
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  • Plato on Natural Kinds: The Promethean Method of the Philebus.John D. Proios - 2022 - Apeiron 55 (2):305-327.
    Plato’s invention of the metaphor of carving the world by the joints gives him a privileged place in the history of natural kind theory in philosophy and science; he is often understood to present a paradigmatic but antiquated view of natural kinds as possessing eternal, immutable, necessary essences. Yet, I highlight that, as a point of distinction from contemporary views about natural kinds, Plato subscribes to an intelligent-design, teleological framework, in which the natural world is the product of craft and, (...)
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  • Division, Syllogistic, and Science in Prior Analytics I.31.Justin Vlasits - forthcoming - Ergo: An Open Access Journal of Philosophy.
    In the first book of the Prior Analytics, Aristotle sets out, for the first time in Greek philosophy, a logical system. It consists of a deductive system (I.4-22), meta-logical results (I.23-26), and a method for finding and giving deductions (I.27-29) that can apply in “any art or science whatsoever” (I.30). After this, Aristotle compares this method with Plato’s method of division, a procedure designed to find essences of natural kinds through systematic classification. This critical comparison in APr I.31 raises an (...)
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  • (1 other version)On the Foundations of Greek Arithmetic.Holger A. Leuz - 2009 - History of Philosophy & Logical Analysis 12 (1):13-47.
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  • Part, slot, ground: foundations for neo-Aristotelian mereology.Thomas Sattig - 2019 - Synthese 198 (Suppl 11):2735-2749.
    Slot mereology reduces parthood to slot-filling: a material object is structured by a certain arrangement of slots; and the fillers of these slots are the object's proper parts. My aim in this essay is to go further and reduce slot-filling to essence and grounding. In combination, the reduction of parthood to slot-filling and the reduction of slot-filling to essence and grounding yields the reduction of parthood to essence and grounding. If this overarching reduction succeeds, it promises new metaphysical foundations for (...)
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  • The First Principle in Late Neoplatonism: A Study of the One’s Causality in Proclus and Damascius.Jonathan Greig - 2020 - Leiden: Brill.
    In The First Principle, Jonathan Greig examines the philosophical theology of the two Neoplatonists, Proclus and Damascius (5th–6th centuries A.D.), on the One as the first cause. Both philosophers address a tension in the Neoplatonic tradition: namely that the One was seen as absolutely transcendent, yet it was also seen as intimately related to other things as the source of their unity and being. Proclus’ solution is to posit intermediate causes after the One, while Damascius posits a distinct principle, the (...)
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  • Socratic Elenchus in the Sophist.Nicolas Zaks - 2018 - Apeiron 51 (4):371-390.
    This paper demonstrates the central role of the Socratic elenchus in the Sophist. In the first part, I defend the position that the Stranger describes the Socratic elenchus in the sixth division of the Sophist. In the second part, I show that the Socratic elenchus is actually used when the Stranger scrutinizes the accounts of being put forward by his predecessors. In the final part, I explain the function of the Socratic elenchus in the argument of the dialogue. By contrast (...)
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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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  • 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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