Reference and paradox
Synthese 138 (2):207 - 232 (2004)
| 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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Nicholas J. J. Smith (2000). The Principle of Uniform Solution (of the Paradoxes of Self-Reference). Mind 109 (433):117-122.
Greg Restall (2007). Curry's Revenge: The Costs of Non-Classical Solutions to the Paradoxes of Self-Reference. In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
Kevin C. Klement (2009). A Cantorian Argument Against Frege's and Early Russell's Theories of Descriptions. In Nicholas Griffin & Dale Jacquette (eds.), Russell Vs. Meinong: The Legacy of "on Denoting". Routledge.
O. Bueno & M. Colyvan (2003). Yablo's Paradox and Referring to Infinite Objects. Australasian Journal of Philosophy 81 (3):402 – 412.
Sten Lindström (2003). Frege's Paradise and the Paradoxes. In Krister Segerberg & Rysiek Sliwinski (eds.), A Philosophical Smorgasbord: Essays on Action, Truth and Other Things in Honour of Fredrick Stoutland. Uppsala Philosophical Studies 52.
Keith Simmons (2005). A Berry and a Russell Without Self-Reference. Philosophical Studies 126 (2):253 - 261.
Jordi Valor Abad (2008). The Inclosure Scheme and the Solution to the Paradoxes of Self-Reference. Synthese 160 (2):183 - 202.
Nino B. Cocchiarella (2000). Russell's Paradox of the Totality of Propositions. Nordic Journal of Philosophical Logic 5 (1):25-37.
Kevin C. Klement (2001). Russell's Paradox in Appendix B of the Principles of Mathematics : Was Frege's Response Adequate? History and Philosophy of Logic 22 (1):13-28.
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