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)

Authors
Gregory Lavers
Concordia University
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.
Keywords Frege  Carnap  Philosophy of mathematics  Explication  Arithmetic
Categories (categorize this paper)
ISBN(s)
DOI 10.1080/01445340.2013.806396
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Logical Foundations of Probability.Rudolf Carnap - 1950 - Chicago]University of Chicago Press.
Meaning and Necessity.Rudolf Carnap - 1947 - University of Chicago Press.
Frege: Philosophy of Mathematics.Michael DUMMETT - 1991 - Harvard University Press.
The Foundations of Arithmetic.Gottlob Frege - 1953 - Evanston: Ill., Northwestern University Press.
Truth, Thought, Reason: Essays on Frege.Tyler Burge - 2005 - Oxford University Press.

View all 21 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Analytics

Added to PP index
2013-08-13

Total views
440 ( #9,482 of 2,236,224 )

Recent downloads (6 months)
49 ( #11,338 of 2,236,224 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature