Georg cantor's influence on bertrand russell

History and Philosophy of Logic 1 (1-2):61-93 (1980)
This paper is concerned with the influence that the set theory of georg cantor (1845-1918) bore upon the mathematical logic of bertrand russell (1872-1970). In some respects the influence is positive, And stems directly from cantor's writings or through intermediary figures such as peano: but in various ways negative influence is evident, For russell adopted alternative views about the form and foundations of set theory. After an opening biographical section, Six sections compare and contrast their views on matters of common interest: irrational numbers, Infinitesimals, Cardinal and ordinal numbers, The axiom of infinity, The paradoxes, And the axioms of choice. Two further sections compare the two men over more general questions: the role of logic and the philosophy of mathematics. In a final section I draw some conclusions
Keywords No keywords specified (fix it)
Categories (categorize this paper)
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 12,417
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.

Citations of this work BETA
Similar books and articles

Monthly downloads

Added to index


Total downloads

17 ( #105,531 of 1,168,025 )

Recent downloads (6 months)

1 ( #140,420 of 1,168,025 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.