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Reference and Paradox

Claire Ortiz Hill
Synthese
Vol. 138, No. 2 (Jan., 2004), pp. 207-232
Published by: Springer
Stable URL: http://www.jstor.org/stable/20118386
Page Count: 26
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Reference and Paradox
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Abstract

Evidence is drawn together to connect sources of inconsistency that Frege discerned in his foundations for arithmetic with the origins of the paradox derived by Russell in "Basic Laws" I and then with antinomies, paradoxes, contradictions, riddles associated with modal and intensional logics. Examined are: Frege's efforts to grasp logical objects; the philosophical arguments that compelled Russell to adopt a description theory of names and a eliminative theory of descriptions; the resurfacing of issues surrounding reference, descriptions, identity, substitutivity, paradox in the debates concerning modal and intensional logics; the development of the New Theory of Reference. I consider this to be the philosophical ground upon which the debates regarding that theory should take place.

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