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Reducing Arithmetic to Set Theory

In Øystein Linnebo & Otavio Bueno (eds.), New Waves in Philosophy of Mathematics. Palgrave Macmillan. pp. 35-55 (2009)

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  1. Whither physical objects?Willard Quine - 1976 - In R. S. Cohen, P. K. Feyerabend & M. Wartofsky (eds.), Essays in Memory of Imre Lakatos. Reidel. pp. 497--504.
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  • What numbers could not be.Paul Benacerraf - 1965 - Philosophical Review 74 (1):47-73.
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  • Word and Object.Willard Van Orman Quine - 1960 - Cambridge, MA, USA: MIT Press.
    In the course of the discussion, Professor Quine pinpoints the difficulties involved in translation, brings to light the anomalies and conflicts implicit in our ...
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  • That numbers could be objects.Linda Wetzel - 1989 - Philosophical Studies 56 (3):273--92.
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  • Structure and nature.W. V. Quine - 1992 - Journal of Philosophy 89 (1):5-9.
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  • The plight of the platonist.Philip Kitcher - 1978 - Noûs 12 (2):119-136.
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  • Quine and the correspondence theory.Hartry Field - 1974 - Philosophical Review 83 (2):200-228.
    A correspondence theory of truth explains truth in terms of various correspondence relations (e.G., Reference) between words and the extralinguistic world. What are the consequences of quine's doctrine of indeterminacy for correspondence theories? in "ontological relativity" quine implicitly claims that correspondence theories are impossible; that is what the doctrine of 'relative reference' amounts to. But quine's doctrine of relative reference is incoherent. Those who think the indeterminacy thesis valid should not try to relativize reference, They should abandon the relation and (...)
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  • .W. V. Quine - 1966
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