A Dilemma for Neo-Fregeanism

Philosophia Mathematica 22 (3):361-379 (2014)
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Abstract

Neo-Fregeans need their stipulation of Hume's Principle — $NxFx=NxGx \leftrightarrow \exists R (Fx \,1\hbox {-}1_R\, Gx)$ — to do two things. First, it must implicitly define the term-forming operator ‘Nx…x…’, and second it must guarantee that Hume's Principle as a whole is true. I distinguish two senses in which the neo-Fregeans might ‘stipulate’ Hume's Principle, and argue that while one sort of stipulation fixes a meaning for ‘Nx…x…’ and the other guarantees the truth of Hume's Principle, neither does both

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Robert Trueman
University of York

References found in this work

Empiricism and the philosophy of mind.Wilfrid Sellars - 1956 - Minnesota Studies in the Philosophy of Science 1:253-329.
Meaning.Paul Horwich - 1998 - New York: Oxford University Press.

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