Noûs 51 (4):775-801 (2017)

Authors
Tom Donaldson
Simon Fraser University
Abstract
Gideon Rosen and Robert Schwartzkopff have independently suggested (variants of) the following claim, which is a varian of Hume's Principle: When the number of Fs is identical to the number of Gs, this fact is grounded by the fact that there is a one-to-one correspondence between the Fs and Gs. My paper is a detailed critique of the proposal. I don't find any decisive refutation of the proposal. At the same time, it has some consequences which many will find objectionable.
Keywords Hume's principle  grounding  Gideon Rosen  Robert Schwartzkopff  logic of ground
Categories (categorize this paper)
Reprint years 2017
DOI 10.1111/nous.12147
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

 PhilArchive page | Other versions
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Writing the Book of the World.Theodore Sider - 2011 - Oxford, England: Oxford University Press.
Ethics Without Principles.Jonathan Dancy - 2004 - Oxford University Press.
Metaphysical Dependence: Grounding and Reduction.Gideon Rosen - 2010 - In Bob Hale & Aviv Hoffmann (eds.), Modality: Metaphysics, Logic, and Epistemology. Oxford University Press. pp. 109-135.
Guide to Ground.Kit Fine - 2012 - In Fabrice Correia & Benjamin Schnieder (eds.), Metaphysical Grounding. Cambridge University Press. pp. 37--80.
No Work for a Theory of Grounding.Jessica M. Wilson - 2014 - Inquiry: An Interdisciplinary Journal of Philosophy 57 (5-6):535-579.

View all 32 references / Add more references

Citations of this work BETA

Grounding Nonexistence.Daniel Muñoz - 2020 - Inquiry: An Interdisciplinary Journal of Philosophy 63 (2):209-229.
Emptying a Paradox of Ground.Jack Woods - 2018 - Journal of Philosophical Logic 47 (4):631-648.
Fundamentality And Modal Freedom.Jennifer Wang - 2016 - Philosophical Perspectives 30 (1):397-418.
Platonism in the Philosophy of Mathematics.Øystein Linnebo - forthcoming - Stanford Encyclopedia of Philosophy.
Prioritizing Platonism.Kelly Trogdon & Sam Cowling - 2019 - Philosophical Studies 176 (8):2029-2042.

View all 25 citations / Add more citations

Similar books and articles

The Foundations of Arithmetic.Gottlob Frege - 1953 - Evanston: Ill., Northwestern University Press.
On the Foundations of Greek Arithmetic.Holger A. Leuz - 2009 - History of Philosophy & Logical Analysis 12:13-47.
Basic Laws of Arithmetic.Gottlob Frege - 2013 - Oxford, England: Oxford University Press.
Classical Arithmetic as Part of Intuitionistic Arithmetic.Michael Potter - 1998 - Grazer Philosophische Studien 55 (1):127-41.
Arithmetic with Fusions.Jeff Ketland & Thomas Schindler - 2016 - Logique Et Analyse 234:207-226.

Analytics

Added to PP index
2016-05-19

Total views
338 ( #30,063 of 2,499,008 )

Recent downloads (6 months)
54 ( #15,206 of 2,499,008 )

How can I increase my downloads?

Downloads

My notes