Synthese 170 (3):331 - 347 (2009)

Gabriel Uzquiano
University of Southern California
The paper is concerned with the bad company problem as an instance of a more general difficulty in the philosophy of mathematics. The paper focuses on the prospects of stability as a necessary condition on acceptability. However, the conclusion of the paper is largely negative. As a solution to the bad company problem, stability would undermine the prospects of a neo-Fregean foundation for set theory, and, as a solution to the more general difficulty, it would impose an unreasonable constraint on mathematical practice.
Keywords Abstraction  Abstraction principles  Bad company  Extension  Frege  Stability  Structuralism
Categories (categorize this paper)
DOI 10.1007/s11229-007-9266-6
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: 60,842
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

Mathematics as a Science of Patterns.Michael D. Resnik - 1997 - New York ;Oxford University Press.

View all 22 references / Add more references

Citations of this work BETA

Abstraction Reconceived.J. P. Studd - 2016 - British Journal for the Philosophy of Science 67 (2):579-615.
Bad Company Tamed.Øystein Linnebo - 2009 - Synthese 170 (3):371 - 391.
Some Criteria for Acceptable Abstraction.Øystein Linnebo - 2011 - Notre Dame Journal of Formal Logic 52 (3):331-338.
Bad Company and Neo-Fregean Philosophy.Matti Eklund - 2009 - Synthese 170 (3):393-414.
The Company Kept by Cut Abstraction (and its Relatives).S. Shapiro - 2011 - Philosophia Mathematica 19 (2):107-138.

View all 7 citations / Add more citations

Similar books and articles

Type Two Cuts, Bad Cuts and Very Bad Cuts.Renling Jin - 1997 - Journal of Symbolic Logic 62 (4):1241-1252.
Bad Company Tamed.Øystein Linnebo - 2009 - Synthese 170 (3):371 - 391.
Theaetetus in Bad Company.C. J. F. Williams - 1992 - Philosophy 67 (262):549 - 551.
Mad, Bad, or Disagreeing? On Moral Competence and Responsibility.Maureen Sie - 2000 - Philosophical Explorations 3 (3):262 – 281.


Added to PP index

Total views
84 ( #124,502 of 2,438,915 )

Recent downloads (6 months)
2 ( #283,061 of 2,438,915 )

How can I increase my downloads?


My notes