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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 6, Pages 1222–1234 (Mi smj1365)  
Intensionality, reflection, and large cardinals

N. V. Beljakina, V. A. Ganovb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Moscow State University of Culture and Arts, Altay Branch
Full-text PDF (228 kB)
Abstract: We study the deductive capabilities of axiomatic systems in the language of sets and classes with the reflection principle extended to all formulas without class quantifiers. A characteristic feature of these systems consists in the fact that not all sets are classes. We suggest a method for constructing models for these systems and establish a connection with large cardinals.
Keywords: set, class, reflection, intensionality, inaccessible cardinal, Mahlo cardinal, coordinated choice.
Received: 13.03.2000
Revised: 15.10.2002
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 6, Pages 985–994
DOI: https://doi.org/10.1023/A:1021157015286
Bibliographic databases:
UDC: 517.11:518.5
Language: Russian
Citation: N. V. Beljakin, V. A. Ganov, “Intensionality, reflection, and large cardinals”, Sibirsk. Mat. Zh., 43:6 (2002), 1222–1234; Siberian Math. J., 43:6 (2002), 985–994
Citation in format AMSBIB
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\by N.~V.~Beljakin, V.~A.~Ganov
\paper Intensionality, reflection, and large cardinals
\jour Sibirsk. Mat. Zh.
\yr 2002
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\issue 6
\pages 1222--1234
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\zmath{https://zbmath.org/?q=an:1009.03024}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 6
\pages 985--994
\crossref{https://doi.org/10.1023/A:1021157015286}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000180105300002}
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    		Сибирский математический журнал Siberian Mathematical Journal
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