caa a22 4500 388039582 CHVBK 20180307125017.0 cr unu---uuuuu 161130e199803 xx s 000 0 eng 10.2307/2586597 doi S0022481200015425 pii (NATIONALLICENCE)cambridge-10.2307/2586597 Nasso Mauro Di Dipartimento Di Matematica, Università Di Siena, Via Del Capitano, 15, 53100 Siena, Italy, E-mail: dinasso@unisi.it Pseudo-superstructures as nonstandard universes [Elektronische Daten] [Mauro Di Nasso] 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. Copyright © Association for Symbolic Logic 1998 The Journal of Symbolic Logic Cambridge University Press 63/1(1998-03), 222-236 0022-4812 63:1<222 1998 63 JSL https://doi.org/10.2307/2586597 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.2307/2586597 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Nasso Mauro Di Dipartimento Di Matematica, Università Di Siena, Via Del Capitano, 15, 53100 Siena, Italy, E-mail: dinasso@unisi.it NATIONALLICENCE 773 0- The Journal of Symbolic Logic Cambridge University Press 63/1(1998-03), 222-236 0022-4812 63:1<222 1998 63 JSL CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge