alternative set theory; forcing; generic extension; symmetric extension; axiom of constructibility
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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| Zbl 0433.03028
[S 1982] Sochor A.: Metamathematics of the Alternative set theory II
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[S 1985] Sochor A.: Constructibility and shiftings of view
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| Zbl 0583.03040
[S 1991] Sochor A.: Scheme of choice in higher order arithmetics. to appear.
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