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Keywords:
alternative set theory; forcing; generic extension; symmetric extension; axiom of constructibility
alternative set theory; forcing; generic extension; symmetric extension; axiom of constructibility
Summary:
The technique of forcing is developed for the alternative set theory (AST) and similar weak theories, where it can be used to prove some new independence results. There are also introduced some new extensions of AST.
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References:
[S 1979] Sochor A.: Metamathematics of the Alternative set theory I. Comment. Math. Univ. Carolinae 20 (1979), 697-722. MR 0555184 | Zbl 0433.03028
[S 1982] Sochor A.: Metamathematics of the Alternative set theory II. Comment. Math. Univ. Carolinae 23 (1982), 55-79. MR 0653351 | Zbl 0493.03030
[S 1985] Sochor A.: Constructibility and shiftings of view. Comment. Math. Univ. Carolinae 26 (1985), 477-498. MR 0817822 | Zbl 0583.03040
[S 1991] Sochor A.: Scheme of choice in higher order arithmetics. to appear.
[V] Vopěnka P.: Mathematics in the Alternative Set Theory. Leipzig, 1979. MR 0581368
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