Boolean algebra and syllogism

Synthese 66 (1):35 - 54 (1986)
This article contains the proof of equivalence boolean algebra and syllogistics arc2. The system arc2 is obtained as a superstructure above the propositional calculus. Subjects and predicates of syllogistic functors a, E, J, O may be complex terms, Which are formed using operations of intersection, Union and complement. In contrast to negative sentences the interpretation of affirmative sentences suggests non-Empty terms. To prove the corresponding theorem we demonstrate that boolean algebra is included into syllogistics arc2 and vice versa
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DOI 10.1007/BF00413577
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Roman Sikorski (1966). Boolean Algebras. Journal of Symbolic Logic 31 (2):251-253.

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