Abstract
By concrete logic we mean a quantum logic which is set-representable, and byVitali—Hahn—Saks logic (VHS-logic) we mean a concrete logic for which theVitali—Hahn—Saks theorem holds true. In this note we investigate the size of theclass of VHS-logics, showing among others that each concrete logic can beconcretely enlarged to a VHS-logic as well as to a non-VHS-logic.
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De Simone, A. Absolute Continuity of States on Concrete Logics. International Journal of Theoretical Physics 39, 615–620 (2000). https://doi.org/10.1023/A:1003633603723
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DOI: https://doi.org/10.1023/A:1003633603723