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A Sequence of Models of Generalized Second-order Dedekind Theory of Real Numbers with Increasing Powers
Asian Research Journal of Mathematics
The paper is devoted to construction of some closed inductive sequence of models of the generalized second-order Dedekind theory of real numbers with exponentially increasing powers. These models are not isomorphic whereas all models of the standard second-order Dedekind theory are. The main idea in passing to generalized models is to consider instead of superstructures with the single common set-theoretical equality and the single common set-theoretical belonging superstructures with severaldoi:10.9734/arjom/2020/v16i130167 fatcat:g6cg4i3rgjfbnmcpsfa6jy7g6e