The Number of Planets, a Number-Referring Term?

In Philip A. Ebert & Marcus Rossberg (eds.), Abstractionism: Essays in Philosophy of Mathematics. Oxford University Press. pp. 113-129 (2016)
Download Edit this record How to cite View on PhilPapers
Abstract
The question whether numbers are objects is a central question in the philosophy of mathematics. Frege made use of a syntactic criterion for objethood: numbers are objects because there are singular terms that stand for them, and not just singular terms in some formal language, but in natural language in particular. In particular, Frege (1884) thought that both noun phrases like the number of planets and simple numerals like eight as in (1) are singular terms referring to numbers as abstract objects
PhilPapers/Archive ID
MOLTNO
Upload history
Archival date: 2016-08-17
View other versions
Added to PP index
2009-01-28

Total views
211 ( #24,931 of 57,123 )

Recent downloads (6 months)
9 ( #49,399 of 57,123 )

How can I increase my downloads?

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