Bad Company and Neo-Fregean Philosophy
Synthese 170 (3):393 - 414 (2009)
| Abstract | A central element in neo-Fregean philosophy of mathematics is the focus on abstraction principles, and the use of abstraction principles to ground various areas of mathematics. But as is well known, not all abstraction principles are in good standing. Various proposals for singling out the acceptable abstraction principles have been presented. Here I investigate what philosophical underpinnings can be provided for these proposals; specifically, underpinnings that fit the neo-Fregean's general outlook. Among the philosophical ideas I consider are: general views on a priori justification; the idea of abstraction as reconceptualization, the idea that truth is prior to reference in the sense associated with Frege's context principle; and various broadly relativistic views. The conclusions are by and large negative | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | No categories specified (fix it) | |||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,672 |
| External links |
  Try with proxy. |
| Through your library | Configure |
Similar books and articlesKit Fine (2002). The Limits of Abstraction. Oxford University Press.
Stewart Shapiro (2000). Frege Meets Dedekind: A Neologicist Treatment of Real Analysis. Notre Dame Journal of Formal Logic 41 (4):335--364.
Gabriel Uzquiano (2009). Bad Company Generalized. Synthese 170 (3):331 - 347.
Alan Weir (2003). Neo-Fregeanism: An Embarrassment of Riches. Notre Dame Journal of Formal Logic 44 (1):13-48.
John MacFarlane (2009). Double Vision: Two Questions About the Neo-Fregean Program. Synthese 170 (3):443 - 456.
Bob Hale (2000). Reals by Abstractiont. Philosophia Mathematica 8 (2):100--123.
Øystein Linnebo (2009). Introduction. Synthese 170 (3).
Øystein Linnebo (2009). Bad Company Tamed. Synthese 170 (3):371 - 391.
Øystein Linnebo & Gabriel Uzquiano (2009). Which Abstraction Principles Are Acceptable? Some Limitative Results. British Journal for the Philosophy of Science 60 (2):239-252.
Analytics
Monthly downloads |
Added to index2009-01-28Total downloads39 ( #29,796 of 549,069 )Recent downloads (6 months)3 ( #25,703 of 549,069 )How can I increase my downloads? |
My notes
Discussion
