Disjointing infinite sums in incomplete Boolean algebras
Robert Lagrange (1967)
Colloquium Mathematicae
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Robert Lagrange (1967)
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J. C. Abbott (1967)
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Alexander Abian (1970)
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Raymond Balbes (1970)
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W. A. J. Luxemburg (1968)
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Žarko Mijajlović (1979)
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This short note shows that the scheme of disjunctive reasoning, , not , does not hold neither in proper ortholattices nor in proper de Morgan algebras. In both cases the scheme, once translated into the inequality , forces the structure to be a boolean algebra.
Vladimír Rogalewicz (1988)
Commentationes Mathematicae Universitatis Carolinae
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