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Pseudo-superstructures as nonstandard universes

Published online by Cambridge University Press:  12 March 2014

Mauro Di Nasso
Mauro Di Nasso*
Affiliation:
Dipartimento Di Matematica, Università Di Siena, Via Del Capitano, 15, 53100 Siena, Italy, E-mail: [email protected]
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Abstract

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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 63 , Issue 1 , March 1998 , pp. 222 - 236
Copyright
Copyright © Association for Symbolic Logic 1998

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References

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