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- W2897380632 abstract "In two recent papers, Bob Hale has attempted to free second-order logic of the “staggering existential assumptions” with which Quine famously attempted to saddle it. This chapter argues, first, that the ontological issue is at best secondary: the crucial issue about second-order logic, at least for a neo-logicist, is epistemological. It is then argued that neither Crispin Wright’s attempt to characterize a ‘neutralist’ conception of quantification that is wholly independent of existential commitment, nor Hale’s attempt to characterize the second-order domain in terms of definability, can serve a neo-logicist’s purposes. The problem, in both cases, is similar: neither Wright nor Hale is sufficiently sensitive to the demands that impredicativity imposes. Finally, the chapter defends the author’s own earlier attempt to finesse this issue, in “A Logic for Frege’s Theorem,” from Hale’s criticisms." @default.
- W2897380632 created "2018-10-26" @default.
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- W2897380632 date "2018-10-18" @default.
- W2897380632 modified "2023-10-16" @default.
- W2897380632 title "Logicism, Ontology, and the Epistemology of Second-Order Logic" @default.
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- W2897380632 doi "https://doi.org/10.1093/oso/9780198792161.003.0008" @default.
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