The epistemic significance of numerals

Synthese 198 (Suppl 5):1019-1045 (2014)
  Copy   BIBTEX

Abstract

The central topic of this article is (the possibility of) de re knowledge about natural numbers and its relation with names for numbers. It is held by several prominent philosophers that (Peano) numerals are eligible for existential quantification in epistemic contexts (‘canonical’), whereas other names for natural numbers are not. In other words, (Peano) numerals are intimately linked with de re knowledge about natural numbers, whereas the other names for natural numbers are not. In this article I am looking for an explanation of this phenomenon. It is argued that the standard induction scheme plays a key role.

Author's Profile

Jan Heylen
KU Leuven

Analytics

Added to PP
2014-09-05

Downloads
356 (#53,532)

6 months
74 (#73,555)

Historical graph of downloads since first upload
This graph includes both downloads from PhilArchive and clicks on external links on PhilPapers.
How can I increase my downloads?