Completeness of two logical systems of Leibniz

被引:0
|
作者
Caicedo, X [1 ]
Martin, A [1 ]
机构
[1] Univ Los Andes, Bogota, Colombia
关键词
logic; history; Leibniz; syllogistic; algebra of logic; soundness; completeness;
D O I
暂无
中图分类号
N09 [自然科学史]; B [哲学、宗教];
学科分类号
01 ; 0101 ; 010108 ; 060207 ; 060305 ; 0712 ;
摘要
This work is a contribution to a new view of Leibniz's logic, pretending to show that his writings were not only rich in projects (Characteristica, Combinatoria, Mathesis), but also in concrete logico-mathematical developments. We prove that his "Numerical Characteristic", assigning pairs of numbers to terms of categorical propositions, is a complete and correct semantics for aristotelian syllogistic, and the algebraic system presented in Fundamentals of Logical Calculus is essentially a complete version of boolean algebraic logic.
引用
收藏
页码:539 / 558
页数:20
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