Arithmetic is Determinate

Journal of Philosophical Logic 51 (1):127-150 (2022)
Download Edit this record How to cite View on PhilPapers
Abstract
Orthodoxy holds that there is a determinate fact of the matter about every arithmetical claim. Little argument has been supplied in favour of orthodoxy, and work of Field, Warren and Waxman, and others suggests that the presumption in its favour is unjustified. This paper supports orthodoxy by establishing the determinacy of arithmetic in a well-motivated modal plural logic. Recasting this result in higher-order logic reveals that even the nominalist who thinks that there are only finitely many things should think that there is some sense in which arithmetic is true and determinate.
Keywords
No keywords specified (fix it)
ISBN(s)
PhilPapers/Archive ID
GOOAID-3
Upload history
Archival date: 2021-07-08
View other versions
Added to PP index
2021-07-07

Total views
122 ( #43,099 of 65,695 )

Recent downloads (6 months)
64 ( #12,254 of 65,695 )

How can I increase my downloads?

Downloads since first upload
This graph includes both downloads from PhilArchive and clicks on external links on PhilPapers.