Which abstraction principles are acceptable? Some limitative results
British Journal for the Philosophy of Science 60 (2):239-252 (2009)
| Abstract | Neo-Fregean logicism attempts to base mathematics on abstraction principles. Since not all abstraction principles are acceptable, the neo-Fregeans need an account of which ones are. One of the most promising accounts is in terms of the notion of stability; roughly, that an abstraction principle is acceptable just in case it is satisfiable in all domains of sufficiently large cardinality. We present two counterexamples to stability as a sufficient condition for acceptability and argue that these counterexamples can be avoided only by major departures from the existing neo-Fregean programme | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,705 |
| External links |
 |
| Through your library | Configure |
Similar books and articlesBob Hale (2000). Reals by Abstractiont. Philosophia Mathematica 8 (2):100--123.
Ornaith O'Dowd (2011). Care and Abstract Principles. Hypatia 27 (2):407-422.
John MacFarlane (2009). Double Vision: Two Questions About the Neo-Fregean Program. Synthese 170 (3):443 - 456.
Rafal Urbaniak (2010). Neologicist Nominalism. Studia Logica 96 (2):149-173.
Øystein Linnebo (2010). Some Criteria for Acceptable Abstraction. Notre Dame Journal of Formal Logic 52 (3):331-338.
Alan Weir (2003). Neo-Fregeanism: An Embarrassment of Riches. Notre Dame Journal of Formal Logic 44 (1):13-48.
Øystein Linnebo (2009). Bad Company Tamed. Synthese 170 (3):371 - 391.
Øystein Linnebo (2009). Introduction. Synthese 170 (3).
Matti Eklund (2009). Bad Company and Neo-Fregean Philosophy. Synthese 170 (3):393 - 414.
Analytics
Monthly downloads |
Added to index2009-05-20Total downloads36 ( #33,034 of 549,128 )Recent downloads (6 months)2 ( #37,390 of 549,128 )How can I increase my downloads? |
My notes
Discussion
