Frege, Dedekind, and Peano on the Foundations of Arithmetic

Philosophical Quarterly 34 (136):424 (1984)

First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for this growth of interest within both mathematics and philosophy and the ways in which this study of the foundations of arithmetic led to new insights in philosophy and striking advances in logic. This historical-critical study provides an excellent introduction to the problems of the philosophy of mathematics - problems which have wide implications for philosophy as a whole. This reissue will appeal to students of both mathematics and philosophy who wish to improve their knowledge of logic. 
Keywords No keywords specified (fix it)
Categories (categorize this paper)
ISBN(s) 9780415667098  
DOI 10.2307/2218773
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 42,401
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

No references found.

Add more references

Citations of this work BETA

Against the Iterative Conception of Set.Edward Ferrier - 2019 - Philosophical Studies 176 (10):2681-2703.
Changes of Language in the Development of Mathematics.Ladislav Kvasz - 2000 - Philosophia Mathematica 8 (1):47-83.
Curriculum Design and Epistemic Ascent.Christopher Winch - 2012 - Journal of Philosophy of Education 46 (4):128-146.
The 1900 Turn in Bertrand Russell’s Logic, the Emergence of His Paradox, and the Way Out.Nikolay Milkov - 2017 - Siegener Beiträge Zur Geschichte Und Philosophie der Mathematik 7:29-50.

View all 8 citations / Add more citations

Similar books and articles

A Logical Foundation of Arithmetic.Joongol Kim - 2015 - Studia Logica 103 (1):113-144.
Frege: Philosophy of Mathematics.Michael DUMMETT - 1991 - Harvard University Press.
Quantum Mathematics.J. Michael Dunn - 1980 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1980:512 - 531.
The Foundations of Arithmetic.Gottlob Frege - 1953 - Evanston: Ill., Northwestern University Press.
On Translating Frege's Die Grundlagen der Arithmetik.Matthias Schirn - 2010 - History and Philosophy of Logic 31 (1):47-72.


Added to PP index

Total views
22 ( #381,063 of 2,255,369 )

Recent downloads (6 months)
4 ( #463,029 of 2,255,369 )

How can I increase my downloads?


My notes

Sign in to use this feature