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Keywords:
alternative set theory; cuts of natural numbers; inner and outer cut of a class; inner and outer product of two cuts; logarithmical cut
alternative set theory; cuts of natural numbers; inner and outer cut of a class; inner and outer product of two cuts; logarithmical cut
Summary:
Three complete characteristics of couples of nonadditive cuts such that $\underline{J\times K}\neq\overline{Jtimes K}$ are given. The equality $\overline{J\times K}=J\,!\,K$ is proved for all couples of nonadditive cuts. Some examples of nonadditive cuts are described.
References:
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