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Constructive theory of enumerable species

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Moscow University Mathematics Bulletin Aims and scope

Abstract

A constructive semantics for the language of set theory with atoms based on interpreting set variables by enumerable species is defined. The soundness of the axioms of the Zermelo–Fraenkel set theory with this semantics is completely studied.

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Author information

Authors and Affiliations

  1. Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory, Moscow, 119991, Russia

    V. E. Plisko

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  1. V. E. Plisko
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Correspondence to V. E. Plisko.

Additional information

Original Russian Text © V.E. Plisko, 2017, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2017, Vol. 72, No. 2, pp. 13–19.

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Plisko, V.E. Constructive theory of enumerable species. Moscow Univ. Math. Bull. 72, 55–60 (2017). https://doi.org/10.3103/S0027132217020036

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  • DOI: https://doi.org/10.3103/S0027132217020036

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