The iterative conception of set

Forster, Thomas (2008) The iterative conception of set. The Review of Symbolic Logic, 1 (01). pp. 97-110. ISSN 1755-0203

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The two expressions ‘The cumulative hierarchy’ and ‘The iterative conception of sets’ are usually taken to be synonymous. However, the second is more general than the first, in that there are recursive procedures that generate some ill-founded sets in addition to well-founded sets. The interesting question is whether or not the arguments in favour of the more restrictive version – the cumulative hierarchy – were all along arguments for the more general version.

Item Type: Article
Faculty \ School: Faculty of Arts and Humanities > School of Philosophy (former - to 2014)
Depositing User: EPrints Services
Date Deposited: 01 Oct 2010 13:57
Last Modified: 16 Jan 2023 16:31
DOI: 10.1017/S1755020308080064

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