Neo-Fregeanism and the Burali-Forti paradox

This chapter considers what form a neo-Fregean account of ordinal numbers might take. It begins by discussing how the natural abstraction principle for ordinals yields a contradiction (the Burali-Forti Paradox) when combined with impredicative second-order logic. It continues by arguing that the fau...

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Bibliographic Details
Main Author: Rumfitt, I
Other Authors: Fred-Rivera, I
Format: Book section
Language:English
Published: Oxford University Press 2018