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Keywords:
alternative set theory; second order arithmetic; forcing; schemes of choice; axiom of constructibility; degrees of constructibility
alternative set theory; second order arithmetic; forcing; schemes of choice; axiom of constructibility; degrees of constructibility
Summary:
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.
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References:
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