Broadening the Iterative Conception of Set

Notre Dame Journal of Formal Logic 42 (3):149-170 (2001)
Abstract
The iterative conception of set commonly is regarded as supporting the axioms of Zermelo-Fraenkel set theory (ZF). This paper presents a modified version of the iterative conception of set and explores the consequences of that modified version for set theory. The modified conception maintains most of the features of the iterative conception of set, but allows for some non-wellfounded sets. It is suggested that this modified iterative conception of set supports the axioms of Quine's set theory NF
Keywords iterative conception of set   non-wellfounded sets   NF
Categories (categorize this paper)
DOI 10.1305/ndjfl/1063372198
Options
 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
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 27,621
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
The Iterative Conception of Set.Thomas Forster - 2008 - Review of Symbolic Logic 1 (1):97-110.
On the Iterative Explanation of the Paradoxes.Christopher Menzel - 1986 - Philosophical Studies 49 (1):37 - 61.
Iterative Set Theory.M. D. Potter - 1993 - Philosophical Quarterly 44 (171):178-193.
Boolos on the Justification of Set Theory.Alexander Paseau - 2006 - Philosophia Mathematica 15 (1):30-53.
Wide Sets, ZFCU, and the Iterative Conception.Christopher Menzel - 2014 - Journal of Philosophy 111 (2):57-83.
The Iterative Conception of Set: A (Bi-)Modal Axiomatisation.J. P. Studd - 2012 - Journal of Philosophical Logic 42 (5):1-29.
Plural Quantification and the Iterative Concept of Set.Stephen Pollard - 1985 - Philosophy Research Archives 11:579-587.
Proper Classes Via the Iterative Conception of Set.Mark F. Sharlow - 1987 - Journal of Symbolic Logic 52 (3):636-650.
The Graph Conception of Set.Luca Incurvati - 2014 - Journal of Philosophical Logic 43 (1):181-208.
The Iterative Conception of Set.George Boolos - 1971 - Journal of Philosophy 68 (8):215-231.
How to Be a Minimalist About Sets.Luca Incurvati - 2012 - Philosophical Studies 159 (1):69-87.
Logically Possible Machines.Eric Steinhart - 2002 - Minds and Machines 12 (2):259-280.
Categoricity Theorems and Conceptions of Set.Gabriel Uzquiano - 2002 - Journal of Philosophical Logic 31 (2):181-196.

Monthly downloads

Added to index

2010-08-24

Total downloads

31 ( #165,494 of 2,169,071 )

Recent downloads (6 months)

3 ( #127,023 of 2,169,071 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums