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  1. KATZ, J.: "Language and Other Abstract Objects". [REVIEW]F. D' Agostino - 1983 - Australasian Journal of Philosophy 61:319.
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  2. Nominalistic Metalogic.Ken Akiba - 1998 - Journal of Philosophical Logic 27 (1):35-47.
    This paper offers a novel method for nominalizing metalogic without transcending first-order reasoning about physical tokens (inscriptions, etc.) of proofs. A kind of double-negation scheme is presented which helps construct, for any platonistic statement in metalogic, a nominalistic statement which has the same assertability condition as the former. For instance, to the platonistic statement "there is a (platonistic) proof of A in deductive system D" corresponds the nominalistic statement "there is no (metalogical) proof token in (possibly informal) set theory for (...)
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  3. A Deflationist Error Theory of Properties.Arvid Båve - 2015 - Dialectica 69 (1):23-59.
    I here defend a theory consisting of four claims about ‘property’ and properties, and argue that they form a coherent whole that can solve various serious problems. The claims are (1): ‘property’ is defined by the principles (PR): ‘F-ness/Being F/etc. is a property of x iff F’ and (PA): ‘F-ness/Being F/etc. is a property’; (2) the function of ‘property’ is to increase the expressive power of English, roughly by mimicking quantification into predicate position; (3) property talk should be understood at (...)
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  4. Charity and Error‐Theoretic Nominalism.Arvid Båve - 2015 - Ratio 28 (3):256-270.
    I here investigate whether there is any version of the principle of charity both strong enough to conflict with an error-theoretic version of nominalism about abstract objects, and supported by the considerations adduced in favour of interpretive charity in the literature. I argue that in order to be strong enough, the principle, which I call (Charity), would have to read, “For all expressions e, an acceptable interpretation must make true a sufficiently high ratio of accepted sentences containing e”. I next (...)
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  5. Common Natures and Metaphysics in John Duns Scotus.Dino Buzzetti - 2005 - Quaestio 5 (1):543-557.
    The paper is about the relationship between Scotus’s notion of ‘natura communis,’ for an examination of the main features that Scotus ascribes to ‘common natures’ can shed substantial light on the nature of metaphysics in itself. Some preliminary observations on historiography are also deemed to be in order.
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  6. Ficta as Contingently Nonconcrete.Lightfield Ceth - 2014 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 21 (4):431-457.
    Fictional realism allows direct reference theorists to provide a straightfor- ward analysis of the semantics of fictional discourse by admitting into their ontology a set of objects (ficta) that serve as the referents of fictional names. Ficta may be modeled using an axiomatic object theory, but actualist interpretations of the formalism have been the subject of recent objections. In this paper, I provide an interpretation of object theory’s formalism that is consistent with actualism and avoids these objections. Drawing on insights (...)
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  7. Awareness of Abstract Objects.Elijah Chudnoff - 2013 - Noûs 47 (4):706-726.
    Awareness is a two-place determinable relation some determinates of which are seeing, hearing, etc. Abstract objects are items such as universals and functions, which contrast with concrete objects such as solids and liquids. It is uncontroversial that we are sometimes aware of concrete objects. In this paper I explore the more controversial topic of awareness of abstract objects. I distinguish two questions. First, the Existence Question: are there any experiences that make their subjects aware of abstract objects? Second, the Grounding (...)
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  8. Dummett’s Criticism of the Context Principle.A. Ebert Philip - 2015 - Grazer Philosophische Studien 92 (1):23-51.
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  9. Category Theory and Set Theory as Theories About Complementary Types of Universals.David P. Ellerman - 2016 - Logic and Logical Philosophy 2016:1-18.
    Instead of the half-century old foundational feud between set theory and category theory, this paper argues that they are theories about two different complementary types of universals. The set-theoretic antinomies forced naïve set theory to be reformulated using some iterative notion of a set so that a set would always have higher type or rank than its members. Then the universal u_{F}={x|F(x)} for a property F() could never be self-predicative in the sense of u_{F}∈u_{F}. But the mathematical theory of categories, (...)
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  10. La abstracción en la teoría del conocimiento de Hegel.Hector Ferreiro - 2012 - Apuntes Filosóficos 21 (41):76-88.
    En la filosofía de Aristóteles y en la filosofía escolástica de cuño aristotélico, la abstracción constituía un acto fundamental del proceso cognitivo: marcaba el salto o ascenso de la sensibilidad a la inteligibilidad, del conocimiento del individuo al conocimiento de su esencia. En la teoría del conocimiento de Hegel, por el contrario, el concepto abstracto o, como Hegel prefiere llamarlo, la “representación abstracta” o “representación universal” es tan sólo un momento intermedio en el proceso fluido que va del conocimiento del (...)
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  11. A Novel Category of Vague Abstracta.Jeffrey Goodman - 2007 - Metaphysica 8 (1):79-96.
    Much attention has been given to the question of ontic vagueness, and the issues usually center around whether certain paradigmatically concrete entities – cats, clouds, mountains, etc. – are vague in the sense of having indeterminate spatial boundaries. In this paper, however, I wish to focus on a way in which some abstracta seem to be locationally vague. To begin, I will briefly cover some territory already covered regarding certain types of “traditional” abstracta and the ways they are currently alleged (...)
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  12. The Existence (and Non-Existence) of Abstract Objects.Richard Heck - 2011 - In Frege's Theorem. Oxford University Press.
    This paper is concerned with neo-Fregean accounts of reference to abstract objects. It develops an objection to the most familiar such accounts, due to Bob Hale and Crispin Wright, based upon what I call the 'proliferation problem': Hale and Wright's account makes reference to abstract objects seem too easy, as is shown by the fact that any equivalence relation seems as good as any other. The paper then develops a response to this objection, and offers an account of what it (...)
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  13. On the Concept of a Token Generator.Takashi Iida - 2013 - Annals of the Japan Association for Philosophy of Science 21:37-55.
    There is a widely shared account of the distinction between types and tokens, which might be termed the standard account. However, it has some surprising consequences that are not always realized. According to the standard account, a type is a contingent abstract object that can be created by us, but it does not allow any change and can never be destroyed once it is created, because it is an abstract object. I would like to present an alternative account of types (...)
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  14. Perceiving Abstract Objects: Inheriting Ohmori Shozo's Philosophy of Perception.Takashi Iida - 2012 - In S. Watanabe (ed.), Logic and Sensiblity. Keio University Press.
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  15. How Are Language Changes Possible?Takashi Iida - 2009 - In M. Okada (ed.), Ontology and Phenomenology: Franco-Japanese Collaborative Lectures. Keio University. pp. 75-96.
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  16. Software is an Abstract Artifact.Nurbay Irmak - 2012 - Grazer Philosophische Studien 86 (1):55-72.
    Software is a ubiquitous artifact, yet not much has been done to understand its ontological nature. There are a few accounts offered so far about the nature of software. I argue that none of those accounts give a plausible picture of the nature of software. I draw attention to the striking similarities between software and musical works. These similarities motivate to look more closely on the discussions regarding the nature of the musical works. With the lessons drawn from the ontology (...)
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  17. Approaching the Abstract: Building Blocks for an Epistemology of Abstract Objects.Søren Harnow Klausen - 2013 - Semiotica 2013 (194):3-20.
    Abstract objects are widely held to pose a formidable epistemological challenge. It has seemed mysterious to many how we can have access to such strange and intangible entities. The article considers five influential ways to meet the challenge: Transcendental arguments, the indispensability argument, insisting that we just are able to grasp abstract objects and that no further explanation is needed, abstractionist accounts, and ontological reduction. None of these approaches is by itself sufficient or completely convincing, but together they make out (...)
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  18. Criteria of Abstractness. The Ontologies of Husserl, Frege and Strawson Against the Background of Classical Metaphysics.Wolfgang Künne - 1982 - In Barry Smith (ed.), Parts and Moments: Studies in Logic and Formal Ontology. Philosophia Verlag. pp. 401--437.
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  19. Philosophical Perspectives on Fictional Characters.Paisley Livingston & Andrea Sauchelli - 2011 - New Literary History 42 (2):337-360.
    This paper takes up a series of basic philosophical questions about the nature and existence of fictional characters. We begin with realist approaches that hinge on the thesis that at least some claims about fictional characters can be right or wrong because they refer to something that exists, such as abstract objects. Irrealist approaches deny such realist postulations and hold instead that fictional characters are a figment of the human imagination. A third family of approaches, based on work by Alexius (...)
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  20. Art & Abstract Objects.Christy Mag Uidhir (ed.) - 2013 - Oxford University Press.
    Art and Abstract Objects presents a lively philosophical exchange between the philosophy of art and the core areas of philosophy. The standard way of thinking about non-repeatable (single-instance) artworks such as paintings, drawings, and non-cast sculpture is that they are concrete (i.e., material, causally efficacious, located in space and time). Da Vinci's Mona Lisa is currently located in Paris. Richard Serra's Tilted Arc is 73 tonnes of solid steel. Johannes Vermeer's The Concert was stolen in 1990 and remains missing. Michaelangelo's (...)
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  21. Art, Metaphysics, & the Paradox of Standards.Christy Mag Uidhir - 2013 - In Art & Abstract Objects. Oxford University Press.
    I consider the field of aesthetics to be at its most productive and engaging when adopting a broadly philosophically informative approach to its core issues (e.g., shaping and testing putative art theoretic commitments against the relevant standard models employed in philosophy of language, metaphysics, and philosophy of mind) and to be at its most impotent and bewildering when cultivating a philosophically insular character (e.g., selecting interpretative, ontological, or conceptual models solely for fit with pre-fixed art theoretic commitments). For example, when (...)
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  22. Nonreferential Complements, Nominalizations, and Derived Objects.Moltmann Friederike - 2004 - Journal of Semantics 21 (1):1-43.
    This paper argues that certain complements in philosophically significant constructions, especially predicative and clausal complements and intensional NPs, should not be analysed as providing an argument for a relation expressed by the verb, but rather as forming a complex predicate together with the verb. Apparent evidence for the traditional relational analyses, namely the possibility of replacing the complement by quantifiers such as 'something', will be shown to be misguided. Quantifiers like 'something' rather act as nominalizing expressions introducing ‘new’, derived objects (...)
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  23. Nominalizing Quantifiers.Friederike Moltmann - 2003 - Journal of Philosophical Logic 32 (5):445-481.
    Quantified expressions in natural language generally are taken to act like quantifiers in logic, which either range over entities that need to satisfy or not satisfy the predicate in order for the sentence to be true or otherwise are substitutional quantifiers. I will argue that there is a philosophically rather important class of quantified expressions in English that act quite differently, a class that includes something, nothing, and several things. In addition to expressing quantification, such expressions act like nominalizations, introducing (...)
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  24. What Do We See in Museums?Graham Oddie - forthcoming - Philosophy.
    I address two related questions. First: what value is there in visiting a museum and becoming acquainted with the objects on display? For art museums the answer seem obvious: we go to experience valuable works of art, and experiencing valuable works of art is itself valuable. In this paper I focus on non-art museums, and while these may house aesthetically valuable objects, that is not their primary purpose, and at least some of the objects they house might not be particularly (...)
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  25. Beyond the Control of God? Six Views on the Problem of God and Abstract Objects, Ed. Paul M. Gould. [REVIEW]Timothy Pawl - 2015 - Australasian Journal of Philosophy 93 (3):627-628.
    This is a review of _Beyond the Control of God_.
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  26. Meinong, Defective Objects, and Logical Paradox.William J. Rapaport - 1982 - Grazer Philosophische Studien 18:17-39.
    Alexius Meinong developed a notion of defective objects in order to account for various logical and psychological paradoxes. The notion is of historical interest, since it presages recent work on the logical paradoxes by Herzberger and Kripke. But it fails to do the job it was designed for. However, a technique implicit in Meinong's investigation is more successful and can be adapted to resolve a similar paradox discovered by Romane Clark in a revised version of Meinong's Theory of Objects due (...)
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  27. Abstract Entities.Sam Cowling - 2017 - Routledge.
    Think of a number, any number, or properties like _fragility_ and _humanity_. These and other abstract entities are radically different from concrete entities like electrons and elbows. While concrete entities are located in space and time, have causes and effects, and are known through empirical means, abstract entities like meanings and possibilities are remarkably different. They seem to be immutable and imperceptible and to exist "outside" of space and time. This book provides a comprehensive critical assessment of the problems raised (...)
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  28. Abstract Entities.Wilfrid Sellars - 1963 - Review of Metaphysics 16 (4):627 - 671.
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  29. Names for Relations.Peter van Inwagen - 2006 - Philosophical Perspectives 20 (1):453–477.
    A proper presentation of this theory [sc. of properties] would treat properties as a special kind of relation. And it would treat propositions as a special kind of relation: it would treat properties as monadic relations and propositions as 0-adic relations. But I will not attempt to discuss relations within the confines of this paper.[ii].
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  30. Fictional Realism and Negative Existentials.Tatjana von Solodkoff - 2014 - In Manuel García-Carpintero & Genoveva Martí (eds.), Empty Representations: Reference and Non-Existence. Oxford University Press. pp. 333-352.
    In this paper I confront what I take to be the crucial challenge for fictional realism, i.e. the view that fictional characters exist. This is the problem of accounting for the intuition that corresponding negative existentials such as ‘Sherlock Holmes does not exist’ are true (when, given fictional realism, taken literally they seem false). I advance a novel and detailed form of the response according to which we take them to mean variants of such claims as: there is no concrete (...)
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  31. Abstracting Propositions.Anthony Wrigley - 2006 - Synthese 151 (2):157-176.
    This paper examines the potential for abstracting propositions – an as yet untested way of defending the realist thesis that propositions as abstract entities exist. I motivate why we should want to abstract propositions and make clear, by basing an account on the neo-Fregean programme in arithmetic, what ontological and epistemological advantages a realist can gain from this. I then raise a series of problems for the abstraction that ultimately have serious repercussions for realism about propositions in general. I first (...)
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  32. Making the Lightness of Being Bearable: Arithmetical Platonism, Fictional Realism and Cognitive Command.Bill Wringe - 2008 - Canadian Journal of Philosophy 38 (3):pp. 453-487.
    In this paper I argue against Divers and Miller's 'Lightness of Being' objection to Hale and Wright's neo-Fregean Platonism. According to the 'Lightness of Being' objection, the neo-Fregean Platonist makes existence too cheap: the same principles which allow her to argue that numbers exist also allow her to claim that fictional objects exist. I claim that this is no objection at all" the neo-Fregean Platonist should think that fictional characters exist. However, the pluralist approach to truth developed by WQright in (...)
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  33. The Modal Object Calculus and its Interpretation.Edward N. Zalta - 1997 - In M. de Rijke (ed.), Advances in Intensional Logic. Kluwer Academic Publishers. pp. 249--279.
    The modal object calculus is the system of logic which houses the (proper) axiomatic theory of abstract objects. The calculus has some rather interesting features in and of itself, independent of the proper theory. The most sophisticated, type-theoretic incarnation of the calculus can be used to analyze the intensional contexts of natural language and so constitutes an intensional logic. However, the simpler second-order version of the calculus couches a theory of fine-grained properties, relations and propositions and serves as a framework (...)
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