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7

JSYML
1998

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Pseudo-Superstructures as Nonstandard Universes

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Pseudo-Superstructures as Nonstandard Universes

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A deﬁnition of nonstandard universe which gets over the limitation to the ﬁnite levels of the cumulative hierarchy is proposed. Though necessarily nonwellfounded, nonstandard universes are arranged in strata in the likeness of superstructures and allow a rank function taking linearly ordered values. Nonstandard universes are also constructed which model the whole ZFC theory without regularity and satisfy the κ-saturation property.

Mauro Di Nasso

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Cumulative Hierarchy | JSYML 1998 | Nonstandard Universes | ﬁnite Levels |

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Added	22 Dec 2010
Updated	22 Dec 2010
Type	Journal
Year	1998
Where	JSYML
Authors	Mauro Di Nasso

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