English

The Nuisance Principle in Infinite Settings

Logic 2018-03-08 v1

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.

Cite

@article{arxiv.1803.02475,
  title  = {The Nuisance Principle in Infinite Settings},
  author = {Sean C. Ebels-Duggan},
  journal= {arXiv preprint arXiv:1803.02475},
  year   = {2018}
}
R2 v1 2026-06-23T00:44:39.385Z