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Titlebook: Aristotelian Assertoric Syllogistic; Incorporating the Ar Mohamed A. Amer Book 2021 The Author(s), under exclusive license to Springer Natu

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Conclusion: Toward an Ecology of AttentionRegarding the natural deduction formalization of AAS, the notions of independence and weak independence are defined and discussed for different deduction systems.
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https://doi.org/10.1007/978-3-030-15293-2Towards algebraic interpretation of .(.), it is shown how the underlying order structure of an order model induces a partial algebra which may be expanded to make the interpretation of .(.) possible. On the other hand, it is shown that-under some conditions-a partial algebra induces an order structure. Interrelationships are discussed.
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https://doi.org/10.1007/978-3-030-15293-2It is shown how .(.) may be interpreted in expansions of partial algebras satisfying some conditions. Interrelationships among these expansions, order models, and partial order models are discussed.
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https://doi.org/10.1007/978-3-030-15293-2Introducing the notions of annihilators and annihilator algebras, it is shown how a partial algebra may be embedded in a total annihilator algebra. Interrelationships among these algebras, their reducts, subreducts, and the order structures induced by them are discussed.
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Experimentation in Software EngineeringInterpretation of .(.) in expansions of annihilator algebras satisfying some conditions, is defined. The interrelationships among these expansions, the expansions introduced in Chap. ., and Venn models are discussed.
发表于 2025-3-26 02:29:19 | 显示全部楼层
Claes Wohlin,Per Runeson,Anders WesslénIn an attempt to do justice to Leibniz, his work concerning AAS is reconsidered in the light of the results obtained in Chap. 16. Also, Kneale and Kneale’s assessment of Leibniz work is contrasted with that of Lenzen. Moreover, the work of Boole is briefly discussed.
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Decidability,A polynomial time algorithm is rendered to decide for any finite set of categorical sentences whether it is consistent and, if it is, to assign a Leibniz model to it.
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Basic Equivalence of the Four Formalizations,The four formalizations presented in Chap. . are shown to be basically equivalent.
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