Synthese 170 (3):331 - 347 (2009)
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)|
References found in this work BETA
Philosophy of Mathematics: Structure and Ontology.Stewart Shapiro - 1997 - Oxford University Press.
The Reason's Proper Study: Essays Towards a Neo-Fregean Philosophy of Mathematics.Bob Hale (ed.) - 2001 - Oxford University Press.
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