Frege, Carnap, and Explication: ‘Our Concern Here Is to Arrive at a Concept of Number Usable for the Purpose of Science’

History and Philosophy of Logic 34 (3):225-41 (2013)
Download Edit this record How to cite View on PhilPapers
Abstract
This paper argues that Carnap both did not view and should not have viewed Frege's project in the foundations of mathematics as misguided metaphysics. The reason for this is that Frege's project was to give an explication of number in a very Carnapian sense — something that was not lost on Carnap. Furthermore, Frege gives pragmatic justification for the basic features of his system, especially where there are ontological considerations. It will be argued that even on the question of the independent existence of abstract objects, Frege and Carnap held remarkably similar views. I close with a discussion of why, despite all this, Frege would not accept the principle of tolerance.
ISBN(s)
PhilPapers/Archive ID
LAVFCA
Upload history
First archival date: 2013-08-13
Latest version: 2 (2013-08-13)
View other versions
Added to PP index
2013-08-13

Total views
729 ( #6,987 of 2,439,374 )

Recent downloads (6 months)
64 ( #10,322 of 2,439,374 )

How can I increase my downloads?

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