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

Authors
Robert Trueman
University of York
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
Keywords No keywords specified (fix it)
Categories (categorize this paper)
ISBN(s)
DOI 10.1093/philmat/nku012
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 71,355
Through your library

References found in this work BETA

Empiricism and the Philosophy of Mind.Wilfrid S. Sellars - 1956 - Minnesota Studies in the Philosophy of Science 1:253-329.
How to Define Theoretical Terms.David Lewis - 1970 - Journal of Philosophy 67 (13):427-446.

View all 45 references / Add more references

Citations of this work BETA

Abstractionism and Mathematical Singular Reference.Bahram Assadian - 2019 - Philosophia Mathematica 27 (2):177-198.
A Vindication of Logicism.Peter Roeper - 2016 - Philosophia Mathematica 24 (3):360-378.

Add more citations

Similar books and articles

Is Hume's Principle Analytic?Crispin Wright - 2001 - In Bob Hale & Crispin Wright (eds.), Notre Dame Journal of Formal Logic. Oxford University Press. pp. 307-333.
On Finite Hume.Fraser Macbride - 2000 - Philosophia Mathematica 8 (2):150-159.
Hume = Small Hume.Jeffrey Ketland - 2002 - Analysis 62 (1):92–93.
A Puzzle About Ontological Commitments.Philip A. Ebert - 2008 - Philosophia Mathematica 16 (2):209-226.
On the Origin and Status of Our Conception of Number.William Demopoulos - 2000 - Notre Dame Journal of Formal Logic 41 (3):210-226.
Hume, Causation and Two Arguments Concerning God.Jason Megill - 2014 - European Journal for Philosophy of Religion 6 (2):169--177.
The Logic in Logicism.Alexander Bird - 1997 - Dialogue 36 (2):341--60.

Analytics

Added to PP index
2014-06-01

Total views
68 ( #170,409 of 2,519,576 )

Recent downloads (6 months)
4 ( #167,019 of 2,519,576 )

How can I increase my downloads?

Downloads

My notes