The Existence (and Non-existence) of Abstract Objects
In Frege's Theorem. Oxford University Press (2011)
| Abstract | 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 is for abstracta to exist that is Fregean in spirit but more robust than familiar views. | |||||||||
| Keywords | Ontology Abstract Objects | |||||||||
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Gabriele Contessa (2009). Who is Afraid of Imaginary Objects? In Nicholas Griffin & Dale Jacquette (eds.), Russell Vs. Meinong: The Legacy of "On Denoting". Routledge.
Anthony Everett (2007). Pretense, Existence, and Fictional Objects. Philosophy and Phenomenological Research 74 (1):56–80.
Chad A. McIntosh (2010). S5, God, and Numbers. Res Cogitans 1 (1):63-78.
Øystein Linnebo (2012). Reference by Abstraction. Proceedings of the Aristotelian Society 112 (1pt1):45-71.
George Duke (2012). Dummett on Abstract Objects. Palgrave Macmillan.
David Liggins (2008). Quine, Putnam, and the 'Quine-Putnam' Indispensability Argument. Erkenntnis 68 (1):113 - 127.
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Marcus Rossberg (2013). Destroying Artworks. In Christy Mag Uidhir (ed.), Art & Abstract Objects. Oxford University Press.
Nurbay Irmak (2012). Software is an Abstract Artifact. Grazer Philosophische Studien 86:55-72.
Friederike Moltmann (2013). Abstract Objects and the Semantics of Natural Language. Oxford University Press.
A. Sierszulska (2006). On Tichy's Determiners and Zalta's Abstract Objects. Axiomathes 16 (4).
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