The Nuisance Principle in Infinite Settings. (9th October 2015)

• Record Type: Journal Article
• Authors: Ebels‐Duggan, Sean C.
• Is Part Of: Thought. Volume 4:Number 4(2015:Dec.)
• Page Start: 263
• Page End: 268
• Publication Date: 2015-10-09
• Subjects: neo‐logicism -- neo‐Fregean -- philosophy of mathematics -- abstraction principles -- second‐order logic; Philosophy -- Periodicals; Logic -- Periodicals; Knowledge, Theory of -- Periodicals; 105
• DOI: 10.1002/tht3.186
• Languages: English
• ISSNs: 2161-2234

Abstract

Abstract : Neo‐Fregeans have been troubled by the Nuisance Principle (NP), an abstraction principle that is consistent but not jointly (second‐order) satisfiable with the favored abstraction principle HP. We show that logically this situation persists if one looks at joint (second‐order) consistency rather than satisfiability: under a modest assumption about infinite concepts, NP is also inconsistent with HP.