Frege's Basic Law V and Cantor's Theorem

Abstract
The following essay reconsiders the ontological and logical issues around Frege’s Basic Law (V). If focuses less on Russell’s Paradox, as most treatments of Frege’s Grundgesetze der Arithmetik (GGA)1 do, but rather on the relation between Frege’s Basic Law (V) and Cantor’s Theorem (CT). So for the most part the inconsistency of Naïve Comprehension (in the context of standard Second Order Logic) will not concern us, but rather the ontological issues central to the conflict between (BLV) and (CT). These ontological issues are interesting in their own right. And if and only if in case ontological considerations make a strong case for something like (BLV) we have to trouble us with inconsistency and paraconsistency. These ontological issues also lead to a renewed methodological reflection what to assume or recognize as an axiom.
Keywords Frege  Basic Law V  Cantor's Theorem
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
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

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Julius Caesar and Basic Law V.Richard G. Heck - 2005 - Dialectica 59 (2):161–178.
Convention T and Basic Law V.Charles Sayward - 2002 - Analysis 62 (4):289–292.
Predicative Fragments of Frege Arithmetic.Øystein Linnebo - 2004 - Bulletin of Symbolic Logic 10 (2):153-174.
Frege's Theorem: An Introduction.Richard Heck - 1999 - The Harvard Review of Philosophy 7 (1):56-73.
A Logic for Frege's Theorem.Richard Heck - 2011 - In Frege's Theorem. Oxford University Press.
The Contemporary Interest of an Old Doctrine.William Demopoulos - 1994 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1994:209 - 216.
Added to PP index
2012-06-25

Total downloads
246 ( #16,831 of 2,225,308 )

Recent downloads (6 months)
31 ( #12,459 of 2,225,308 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature