Extension of a new axiomatic set theory
Izvestiya. Mathematics , Tome 42 (1994) no. 3, pp. 615-619.

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A new extended axiomatic system of set theory is presented that consists of three perfectly natural axioms. All the axioms of the Zermelo–Fraenkel system, the generalized axiom of choice, and the generalized continuum hypothesis are proved as theorems in the new extended axiomatic set theory. The essence of the axioms in the new extended set theory is explained.
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A. M. Vdovin. Extension of a new axiomatic set theory. Izvestiya. Mathematics , Tome 42 (1994) no. 3, pp. 615-619. http://geodesic.mathdoc.fr/item/IM2_1994_42_3_a6/

[1] Vdovin A. M., “Osnovy novoi aksiomaticheskoi teorii mnozhestv”, Izv. AN SSSR. Ser. matem., 54:5 (1990), 1113–1118 | MR | Zbl

[2] Gilbert D., Bernais P., Osnovaniya matematiki, t. 1,2, Nauka, M., 1979 | MR

[3] Karri X., Osnovaniya matematicheskoi logiki, Mir, M., 1969

[4] Kolmogorov A. N., Dragalin A. G., Matematicheskaya logika. Dopolnitelnye glavy, MGU, M., 1984

[5] Koen P. Dzh., Teoriya mnozhestv i kontinuum-gipoteza, Mir, M., 1969 | MR