Geodesic
Forcing in the alternative set theory. II
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 2, pp. 339-353 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

By the technique of forcing, some new independence results are proved for the alternative set theory (AST) and similar weak theories: The scheme of choice is independent both of AST and of second order arithmetic, axiom of constructibility is independent of AST plus schemes of choice.
By the technique of forcing, some new independence results are proved for the alternative set theory (AST) and similar weak theories: The scheme of choice is independent both of AST and of second order arithmetic, axiom of constructibility is independent of AST plus schemes of choice.
Classification : 03E25, 03E35, 03E40, 03E45, 03E70
Keywords: alternative set theory; second order arithmetic; forcing; schemes of choice; axiom of constructibility; degrees of constructibility 
@article{CMUC_1991_32_2_a15,
     author = {Sgall, Ji\v{r}{\'\i} and Sochor, Anton{\'\i}n},
     title = {Forcing in the alternative set theory. {II}},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {339--353},
     year = {1991},
     volume = {32},
     number = {2},
     mrnumber = {1137795},
     zbl = {0751.03026},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1991_32_2_a15/}
}
TY  - JOUR
AU  - Sgall, Jiří
AU  - Sochor, Antonín
TI  - Forcing in the alternative set theory. II
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1991
SP  - 339
EP  - 353
VL  - 32
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/CMUC_1991_32_2_a15/
LA  - en
ID  - CMUC_1991_32_2_a15
ER  - 
%0 Journal Article
%A Sgall, Jiří
%A Sochor, Antonín
%T Forcing in the alternative set theory. II
%J Commentationes Mathematicae Universitatis Carolinae
%D 1991
%P 339-353
%V 32
%N 2
%U http://geodesic.mathdoc.fr/item/CMUC_1991_32_2_a15/
%G en
%F CMUC_1991_32_2_a15
Sgall, Jiří; Sochor, Antonín. Forcing in the alternative set theory. II. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 2, pp. 339-353. http://geodesic.mathdoc.fr/item/CMUC_1991_32_2_a15/

[A] Adamowicz Z.: Constructible semi-lattices of degrees of constructibility. In: Set Theory and Hierarchy Theory V, Lecture Notes in Mathematics 619, p. 1-43. | MR | Zbl

[L] Lévy A.: Definability in axiomatic set theory II. In: Mathematical Logic and Foundations of Set Theory, ed. by Y. Bar-Hillel, North-Holland, 1970. | MR

[S 1982] Sochor A.: Metamathematics of the alternative set theory II. Comment. Math. Univ. Carolinae 23 (1982), 55-79. | MR | Zbl

[S 1985] Sochor A.: Constructibility and shiftings of view. Comment. Math. Univ. Carolinae 26 (1985), 477-498. | MR | Zbl

[Sg] Sgall J.: Forcing in the alternative set theory I. Comment. Math. Univ. Carolinae 32 (1991), 323-337. | MR | Zbl

[V] Vopěnka P.: Mathematics in the Alternative Set Theory. Leipzig, 1979. | MR