History and Philosophy of Logic 8 (2):141-169 (1987)

Abstract
According to the received view, Russell rediscovered about 1900 the logical definition of cardinal number given by Frege in 1884. In the same way, we are told, he stated and developed independently the idea of logicism, using the principle of abstraction as the philosophical ground. Furthermore, the role commonly ascribed in this to Peano was only to invent an appropriate notation to be used as mere instrument. In this paper I hold that the study of Russell's unpublished manuscripts and Peano's (and disciples) writings (as part of a larger investigation only pointed out here) shows, on the contrary, that Russell obtained the method to transform definitions by abstraction into nominal definitions and the general logicist idea from Peano (and his school). The only original insight from Russell, the principle of abstraction, partially derived from Moore's early philosophy, was finally abandoned because it was not of practical use
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1080/01445348708837114
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: 71,489
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

The Principles of Mathematics.Bertrand Russell - 1903 - Cambridge, England: Allen & Unwin.
Logic and Knowledge: Essays 1901-1950.Bertrand Russell - 1956 - London, England: Macmillan.

View all 19 references / Add more references

Citations of this work BETA

Projects in Progress.E. A. Marchisotto & F. A. Rodriguez‐Consuegra - 1993 - History and Philosophy of Logic 14 (2):215-220.

Add more citations

Similar books and articles

On Russell's Vulnerability to Russell's Paradox.James Levine - 2001 - History and Philosophy of Logic 22 (4):207-231.
Frege-Russell Numbers: Analysis or Explication?Erich Reck - 2007 - In The Analytic Turn. London: Routledge. pp. 33-50.
Russell’s Debt to Lotze.Nikolay Milkov - 2008 - Studies in History and Philosophy of Science Part A 39 (2):186-193.
The Mathematical Philosophy of Giuseppe Peano.Hubert C. Kennedy - 1963 - Philosophy of Science 30 (3):262-266.

Analytics

Added to PP index
2010-08-10

Total views
17 ( #639,374 of 2,520,788 )

Recent downloads (6 months)
1 ( #405,623 of 2,520,788 )

How can I increase my downloads?

Downloads

My notes