Journal of Philosophical Logic 23 (3):225 - 245 (1994)

Abstract
This paper has three goals: (i) to show that the foundational program begun in the Begriffsschroft, and carried forward in the Grundlagen, represented Frege's attempt to establish the autonomy of arithmetic from geometry and kinematics; the cogency and coherence of 'intuitive' reasoning were not in question. (ii) To place Frege's logicism in the context of the nineteenth century tradition in mathematical analysis, and, in particular, to show how the modern concept of a function made it possible for Frege to pursue the goal of autonomy within the framework of the system of second-order logic of the Begriffsschrift. (iii) To address certain criticisms of Frege by Parsons and Boolos, and thereby to clarify what was and was not achieved by the development, in Part III of the Begriffsschrift, of a fragment of the theory of relations
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF01048481
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 55,873
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

Die Grundlagen der Arithmetik.Gottlob Frege - 1988 - Felix Meiner Verlag.
Frege: Philosophy of Mathematics.Michael Dummett - 1991 - Harvard University Press.
Frege and Other Philosophers.Michael Dummett - 1991 - Oxford University Press UK.
Reading the Begriffsschrift.George Boolos - 1985 - Mind 94 (375):331-344.
Frege in Perspective. [REVIEW]Michael D. Resnik - 1990 - Philosophical Review 101 (4):893-895.

View all 14 references / Add more references

Citations of this work BETA

Logicism, Interpretability, and Knowledge of Arithmetic.Sean Walsh - 2014 - Review of Symbolic Logic 7 (1):84-119.
From Lagrange to Frege: Functions and Expressions.Gabriel Sandu, Marco Panza & Hourya Benis-Sinaceur - 2015 - In Gabriel Sandu, Marco Panza & Hourya Benis-Sinaceur (eds.), Functions and Generality of Logic. Springer Verlag.

View all 13 citations / Add more citations

Similar books and articles

Analytics

Added to PP index
2009-01-28

Total views
44 ( #226,471 of 2,401,793 )

Recent downloads (6 months)
3 ( #257,343 of 2,401,793 )

How can I increase my downloads?

Downloads

My notes