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Expressing infinity without foundation
Journal of Symbolic Logic 56 (4):1230-1235 (1991)
Abstract
The axiom of infinity can be expressed by stating the existence of sets satisfying a formula which involves restricted universal quantifiers only, even if the axiom of foundation is not assumedLinks
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Infinity: new research frontiers.Michał Heller & W. H. Woodin (eds.) - 2011 - New York: Cambridge University Press.
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Citations of this work
Decidability and Completeness for Open Formulas of Membership Theories.Dorella Bellè & Franco Parlamento - 1995 - Notre Dame Journal of Formal Logic 36 (2):304-318.
The Decidability of the $ \forall^*\exists$ Class and the Axiom of Foundation.Dorella Bellè & Franco Parlamento - 2001 - Notre Dame Journal of Formal Logic 42 (1):41-53.
References found in this work
The decision problem for restricted universal quantification in set theory and the axiom of foundation.Franco Parlamento & Alberto Policriti - 1992 - Mathematical Logic Quarterly 38 (1):143-156.
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